%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA107^1 : 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 : n013.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 07:53:43 AM UTC 2026
% Result : Unsatisfiable 33.93s 5.21s
% Output : Refutation 34.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( inj
= ( ^ [X0: $i > $i] :
! [X2: $i,X1: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) )
= surj ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X0: $i,X2: $i,X3: $i,X1: $i] :
( ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X3: $i,X2: $i,X0: $i,X4: $i,X1: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X3 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f8,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X2 @ X1 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X4 @ X1 )
| ~ ( b @ X0 @ X3 ) ),
inference(rectify,[],[f6]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X0 @ X3 ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X3 @ X1 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(rectify,[],[f4]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
( inj
= ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f17,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(flattening,[],[f8]) ).
thf(f19,plain,
! [X4: $i,X1: $i,X2: $i,X0: $i,X3: $i] :
( ( $true
!= ( b @ X2 @ X4 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X0 @ X3 ) ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X2: $i,X0: $i,X3: $i,X1: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) ) ),
inference(rectify,[],[f15]) ).
thf(f22,plain,
( ( $true
= ( inj @ sK0 ) )
& ( $true
!= ( surj @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f18]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ X3 ) ) ),
inference(rectify,[],[f20]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f26,plain,
( $true
!= ( surj @ sK0 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f27,plain,
( $true
= ( inj @ sK0 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f30,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f31,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f34,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f27,f30]) ).
thf(f35,plain,
( $true
!= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f26,f29]) ).
thf(f36,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f35]) ).
thf(f37,plain,
( $false
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f36]) ).
thf(f38,plain,
( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) ) ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f39,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f38]) ).
thf(f40,plain,
! [X1: $i] :
( $false
= ( ( sK0 @ X1 )
= sK1 ) ),
inference(beta-eta_normalization,[],[f39]) ).
thf(f41,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f42,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f43,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f42]) ).
thf(f44,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f44]) ).
thf(f46,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) ) ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false )
| ( $true
= ( X2 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( $true
= ( X2 = X1 ) ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f48]) ).
thf(f50,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) ),
inference(extensionality_resolution,[],[f25,f41]) ).
thf(f51,plain,
! [X0: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f25,f41]) ).
thf(f52,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f25,f49]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( X0 = X1 )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f31,f25]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(constrained_superposition,[],[f31,f50]) ).
thf(f58,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f61,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(constrained_superposition,[],[f58,f51]) ).
thf(f62,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f31,f51]) ).
thf(f63,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f64,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(duplicate_literal_removal,[],[f61]) ).
thf(f65,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f81,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f52,f41]) ).
thf(f82,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(extensionality_resolution,[],[f52,f41]) ).
thf(f83,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f52,f49]) ).
thf(f93,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f31,f81]) ).
thf(f96,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f98,definition,
( spl2_4
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f99,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_4 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f104,definition,
( spl2_6
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f105,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f104]) ).
thf(f115,definition,
( spl2_7
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f116,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f118,definition,
( spl2_8
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f119,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f137,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f96,f51]) ).
thf(f141,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f137]) ).
thf(f144,definition,
( spl2_9
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f145,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_9 ),
inference(avatar_component_clause,[],[f144]) ).
thf(f147,definition,
( spl2_10
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f148,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f147]) ).
thf(f150,definition,
( spl2_11
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f151,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f150]) ).
thf(f154,definition,
( spl2_12
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f155,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_12 ),
inference(avatar_component_clause,[],[f154]) ).
thf(f157,definition,
( spl2_13
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f158,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f157]) ).
thf(f159,plain,
( spl2_6
| ~ spl2_12
| spl2_13 ),
inference(avatar_split_clause,[],[f141,f157,f154,f104]) ).
thf(f160,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_12 ),
inference(constrained_superposition,[],[f155,f51]) ).
thf(f163,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_12 ),
inference(trivial_inequality_removal,[],[f160]) ).
thf(f165,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_12 ),
inference(constrained_superposition,[],[f28,f163]) ).
thf(f166,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_12 ),
inference(trivial_inequality_removal,[],[f165]) ).
thf(f168,definition,
( spl2_14
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f169,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f168]) ).
thf(f171,definition,
( spl2_15
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f172,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f171]) ).
thf(f173,plain,
( spl2_14
| spl2_15
| spl2_12 ),
inference(avatar_split_clause,[],[f166,f154,f171,f168]) ).
thf(f187,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f28,f105]) ).
thf(f188,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f187]) ).
thf(f193,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f63,f82]) ).
thf(f194,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f58,f82]) ).
thf(f195,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f31,f82]) ).
thf(f196,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f197,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f193]) ).
thf(f198,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f195]) ).
thf(f200,definition,
( spl2_16
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f201,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f200]) ).
thf(f203,definition,
( spl2_17
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f203]) ).
thf(f205,plain,
( spl2_16
| spl2_17 ),
inference(avatar_split_clause,[],[f196,f203,f200]) ).
thf(f207,definition,
( spl2_18
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f208,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f207]) ).
thf(f210,definition,
( spl2_19
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f211,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f210]) ).
thf(f212,plain,
( spl2_18
| spl2_19 ),
inference(avatar_split_clause,[],[f197,f210,f207]) ).
thf(f216,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f208,f50]) ).
thf(f219,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f216]) ).
thf(f230,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f83,f49]) ).
thf(f232,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f83,f41]) ).
thf(f233,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(extensionality_resolution,[],[f83,f41]) ).
thf(f244,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ X1 )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f65,f25]) ).
thf(f245,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f65,f52]) ).
thf(f252,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f244]) ).
thf(f256,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f245]) ).
thf(f258,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f96,f232]) ).
thf(f260,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f63,f232]) ).
thf(f262,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f31,f232]) ).
thf(f263,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f258]) ).
thf(f264,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f260]) ).
thf(f268,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f262]) ).
thf(f270,definition,
( spl2_20
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f271,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f270]) ).
thf(f273,definition,
( spl2_21
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f274,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f273]) ).
thf(f276,definition,
( spl2_22
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f277,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_22 ),
inference(avatar_component_clause,[],[f276]) ).
thf(f278,plain,
( spl2_20
| spl2_21
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f263,f276,f273,f270]) ).
thf(f280,definition,
( spl2_23
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f281,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f280]) ).
thf(f283,definition,
( spl2_24
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f284,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_24 ),
inference(avatar_component_clause,[],[f283]) ).
thf(f286,definition,
( spl2_25
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f287,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f286]) ).
thf(f288,plain,
( spl2_23
| ~ spl2_24
| spl2_25 ),
inference(avatar_split_clause,[],[f264,f286,f283,f280]) ).
thf(f293,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| spl2_24 ),
inference(constrained_superposition,[],[f284,f50]) ).
thf(f296,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_24 ),
inference(trivial_inequality_removal,[],[f293]) ).
thf(f298,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_6
| spl2_24 ),
inference(constrained_superposition,[],[f188,f296]) ).
thf(f301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_6
| spl2_24 ),
inference(trivial_inequality_removal,[],[f298]) ).
thf(f303,definition,
( spl2_27
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f304,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f303]) ).
thf(f306,definition,
( spl2_28
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
thf(f307,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f306]) ).
thf(f309,definition,
( spl2_29
<=> ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
thf(f310,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f309]) ).
thf(f311,plain,
( spl2_27
| spl2_28
| spl2_29
| ~ spl2_6
| spl2_24 ),
inference(avatar_split_clause,[],[f301,f283,f104,f309,f306,f303]) ).
thf(f314,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_22 ),
inference(constrained_superposition,[],[f277,f25]) ).
thf(f315,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_22 ),
inference(trivial_inequality_removal,[],[f314]) ).
thf(f319,definition,
( spl2_30
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).
thf(f320,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f319]) ).
thf(f322,definition,
( spl2_31
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f323,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f322]) ).
thf(f324,plain,
( spl2_30
| spl2_31
| spl2_22 ),
inference(avatar_split_clause,[],[f315,f276,f322,f319]) ).
thf(f363,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f268,f232]) ).
thf(f365,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f363]) ).
thf(f366,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f365]) ).
thf(f373,definition,
( spl2_32
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f374,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_32 ),
inference(avatar_component_clause,[],[f373]) ).
thf(f376,definition,
( spl2_33
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
thf(f377,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f376]) ).
thf(f379,definition,
( spl2_34
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
thf(f380,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f381,plain,
( ~ spl2_32
| spl2_33
| spl2_34 ),
inference(avatar_split_clause,[],[f366,f379,f376,f373]) ).
thf(f383,definition,
( spl2_35
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
thf(f384,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f383]) ).
thf(f386,definition,
( spl2_36
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).
thf(f387,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_36 ),
inference(avatar_component_clause,[],[f386]) ).
thf(f390,definition,
( spl2_37
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
thf(f391,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_37 ),
inference(avatar_component_clause,[],[f390]) ).
thf(f396,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_36 ),
inference(constrained_superposition,[],[f387,f51]) ).
thf(f398,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_36 ),
inference(trivial_inequality_removal,[],[f396]) ).
thf(f400,plain,
( spl2_28
| spl2_36 ),
inference(avatar_split_clause,[],[f398,f386,f306]) ).
thf(f402,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_28 ),
inference(constrained_superposition,[],[f116,f307]) ).
thf(f405,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_7
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f402]) ).
thf(f406,plain,
( ( $true != $true )
| ~ spl2_7
| spl2_24
| ~ spl2_28 ),
inference(constrained_superposition,[],[f405,f296]) ).
thf(f407,plain,
( $false
| ~ spl2_7
| spl2_24
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f406]) ).
thf(f408,plain,
( ~ spl2_7
| spl2_24
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f407]) ).
thf(f412,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_12 ),
inference(constrained_superposition,[],[f155,f51]) ).
thf(f414,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_12 ),
inference(trivial_inequality_removal,[],[f412]) ).
thf(f416,plain,
( spl2_19
| spl2_12 ),
inference(avatar_split_clause,[],[f414,f154,f210]) ).
thf(f452,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_7
| ~ spl2_21
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f274,f405]) ).
thf(f454,definition,
( spl2_40
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
thf(f455,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f454]) ).
thf(f463,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_37 ),
inference(constrained_superposition,[],[f391,f25]) ).
thf(f465,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_37 ),
inference(trivial_inequality_removal,[],[f463]) ).
thf(f468,definition,
( spl2_42
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
thf(f469,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f468]) ).
thf(f470,plain,
( spl2_42
| spl2_30
| spl2_37 ),
inference(avatar_split_clause,[],[f465,f390,f319,f468]) ).
thf(f482,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f281,f82]) ).
thf(f491,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f482]) ).
thf(f496,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_7
| ~ spl2_23
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f491,f405]) ).
thf(f498,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_23
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f496,f306,f280,f115,f98]) ).
thf(f499,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f287,f405]) ).
thf(f504,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(constrained_superposition,[],[f116,f499]) ).
thf(f507,plain,
( ! [X0: $i,X1: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f504]) ).
thf(f508,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f455,f50]) ).
thf(f510,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f508]) ).
thf(f528,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_16 ),
inference(constrained_superposition,[],[f169,f201]) ).
thf(f530,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_14
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f528]) ).
thf(f532,plain,
( spl2_29
| ~ spl2_14
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f530,f200,f168,f309]) ).
thf(f533,plain,
( ( $true != $true )
| ~ spl2_28
| ~ spl2_29 ),
inference(constrained_superposition,[],[f310,f307]) ).
thf(f537,plain,
( $false
| ~ spl2_28
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f533]) ).
thf(f538,plain,
( ~ spl2_28
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f537]) ).
thf(f574,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_7
| ~ spl2_28
| ~ spl2_40 ),
inference(constrained_superposition,[],[f405,f510]) ).
thf(f577,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f28,f510]) ).
thf(f578,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_7
| ~ spl2_28
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f574]) ).
thf(f581,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f577]) ).
thf(f583,plain,
( $false
| ~ spl2_7
| ~ spl2_28
| ~ spl2_40 ),
inference(forward_subsumption_resolution,[],[f578,f405]) ).
thf(f584,plain,
( ~ spl2_7
| ~ spl2_28
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f583]) ).
thf(f588,definition,
( spl2_45
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
thf(f589,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f588]) ).
thf(f590,plain,
( spl2_14
| spl2_45
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f581,f454,f588,f168]) ).
thf(f595,definition,
( spl2_47
<=> ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
thf(f596,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f595]) ).
thf(f598,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f233,f507]) ).
thf(f604,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(constrained_superposition,[],[f31,f598]) ).
thf(f610,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f604]) ).
thf(f641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(constrained_superposition,[],[f610,f232]) ).
thf(f646,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(duplicate_literal_removal,[],[f641]) ).
thf(f647,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f646]) ).
thf(f650,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f647,f405]) ).
thf(f651,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(constrained_superposition,[],[f650,f25]) ).
thf(f660,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) )
= X0 ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f651]) ).
thf(f667,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(constrained_superposition,[],[f660,f598]) ).
thf(f674,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f667]) ).
thf(f675,plain,
( ! [X0: $i,X1: $i] :
( ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f674,f507]) ).
thf(f718,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= ( sK0 @ X2 ) )
| ( ( sK0 @ ( sK0 @ X1 ) )
= X2 ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(constrained_superposition,[],[f49,f675]) ).
thf(f824,plain,
( ! [X0: $i,X1: $i] :
( ( sK0 @ ( sK0 @ X1 ) )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ~ spl2_7
| ~ spl2_25
| ~ spl2_28 ),
inference(equality_resolution,[],[f718]) ).
thf(f948,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_7
| ~ spl2_21
| ~ spl2_25
| ~ spl2_28 ),
inference(constrained_superposition,[],[f452,f824]) ).
thf(f1003,plain,
( spl2_10
| ~ spl2_7
| ~ spl2_21
| ~ spl2_25
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f948,f306,f286,f273,f115,f147]) ).
thf(f1488,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f281,f82]) ).
thf(f1498,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f1488]) ).
thf(f1537,definition,
( spl2_49
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_49])],[avatar_definition]) ).
thf(f1538,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_49 ),
inference(avatar_component_clause,[],[f1537]) ).
thf(f1592,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f198,f233]) ).
thf(f1597,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f31,f233]) ).
thf(f1599,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1592]) ).
thf(f1602,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1597]) ).
thf(f1661,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X1 )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f56,f50]) ).
thf(f1674,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X1 )
| ( $true
!= ( r @ X2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f1661]) ).
thf(f1698,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(constrained_superposition,[],[f252,f25]) ).
thf(f1700,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f1698]) ).
thf(f1749,plain,
! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(extensionality_resolution,[],[f256,f41]) ).
thf(f1750,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f256,f50]) ).
thf(f1753,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f1750]) ).
thf(f2007,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_19 ),
inference(avatar_component_clause,[],[f210]) ).
thf(f2316,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| spl2_30 ),
inference(avatar_component_clause,[],[f319]) ).
thf(f2403,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_30 ),
inference(extensionality_resolution,[],[f230,f2316]) ).
thf(f2404,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_30 ),
inference(extensionality_resolution,[],[f230,f2316]) ).
thf(f2412,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_30 ),
inference(extensionality_resolution,[],[f83,f2316]) ).
thf(f2419,definition,
( spl2_72
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_72])],[avatar_definition]) ).
thf(f2420,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_72 ),
inference(avatar_component_clause,[],[f2419]) ).
thf(f2422,definition,
( spl2_73
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_73])],[avatar_definition]) ).
thf(f2423,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_73 ),
inference(avatar_component_clause,[],[f2422]) ).
thf(f2426,definition,
( spl2_74
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).
thf(f2427,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f2426]) ).
thf(f2429,definition,
( spl2_75
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).
thf(f2430,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_75 ),
inference(avatar_component_clause,[],[f2429]) ).
thf(f2431,plain,
( spl2_74
| spl2_75
| spl2_30 ),
inference(avatar_split_clause,[],[f2412,f319,f2429,f2426]) ).
thf(f2433,definition,
( spl2_76
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).
thf(f2434,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f2433]) ).
thf(f2436,definition,
( spl2_77
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).
thf(f2437,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_77 ),
inference(avatar_component_clause,[],[f2436]) ).
thf(f2438,plain,
( spl2_76
| spl2_77
| spl2_30 ),
inference(avatar_split_clause,[],[f2403,f319,f2436,f2433]) ).
thf(f2440,definition,
( spl2_78
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).
thf(f2441,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_78 ),
inference(avatar_component_clause,[],[f2440]) ).
thf(f2443,definition,
( spl2_79
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).
thf(f2444,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_79 ),
inference(avatar_component_clause,[],[f2443]) ).
thf(f2445,plain,
( spl2_78
| spl2_79
| spl2_30 ),
inference(avatar_split_clause,[],[f2404,f319,f2443,f2440]) ).
thf(f2486,definition,
( spl2_80
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_80])],[avatar_definition]) ).
thf(f2487,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_80 ),
inference(avatar_component_clause,[],[f2486]) ).
thf(f2489,definition,
( spl2_81
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).
thf(f2490,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_81 ),
inference(avatar_component_clause,[],[f2489]) ).
thf(f2501,definition,
( spl2_84
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).
thf(f2502,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_84 ),
inference(avatar_component_clause,[],[f2501]) ).
thf(f2505,definition,
( spl2_85
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).
thf(f2506,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f2505]) ).
thf(f2508,definition,
( spl2_86
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_86])],[avatar_definition]) ).
thf(f2509,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_86 ),
inference(avatar_component_clause,[],[f2508]) ).
thf(f2512,definition,
( spl2_87
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_87])],[avatar_definition]) ).
thf(f2513,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_87 ),
inference(avatar_component_clause,[],[f2512]) ).
thf(f2515,definition,
( spl2_88
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).
thf(f2516,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_88 ),
inference(avatar_component_clause,[],[f2515]) ).
thf(f2525,definition,
( spl2_91
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_91])],[avatar_definition]) ).
thf(f2526,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_91 ),
inference(avatar_component_clause,[],[f2525]) ).
thf(f2528,definition,
( spl2_92
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_92])],[avatar_definition]) ).
thf(f2529,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92 ),
inference(avatar_component_clause,[],[f2528]) ).
thf(f2532,definition,
( spl2_93
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_93])],[avatar_definition]) ).
thf(f2533,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_93 ),
inference(avatar_component_clause,[],[f2532]) ).
thf(f2567,definition,
( spl2_94
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_94])],[avatar_definition]) ).
thf(f2568,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_94 ),
inference(avatar_component_clause,[],[f2567]) ).
thf(f2570,definition,
( spl2_95
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_95])],[avatar_definition]) ).
thf(f2571,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_95 ),
inference(avatar_component_clause,[],[f2570]) ).
thf(f2583,definition,
( spl2_96
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).
thf(f2584,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_96 ),
inference(avatar_component_clause,[],[f2583]) ).
thf(f3047,definition,
( spl2_100
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_100])],[avatar_definition]) ).
thf(f3048,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_100 ),
inference(avatar_component_clause,[],[f3047]) ).
thf(f3089,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_81 ),
inference(constrained_superposition,[],[f2490,f52]) ).
thf(f3093,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_81 ),
inference(trivial_inequality_removal,[],[f3089]) ).
thf(f3096,definition,
( spl2_103
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_103])],[avatar_definition]) ).
thf(f3097,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_103 ),
inference(avatar_component_clause,[],[f3096]) ).
thf(f3099,definition,
( spl2_104
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).
thf(f3100,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_104 ),
inference(avatar_component_clause,[],[f3099]) ).
thf(f3102,plain,
( spl2_104
| spl2_87
| spl2_81 ),
inference(avatar_split_clause,[],[f3093,f2489,f2512,f3099]) ).
thf(f3174,definition,
( spl2_105
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).
thf(f3175,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_105 ),
inference(avatar_component_clause,[],[f3174]) ).
thf(f3177,definition,
( spl2_106
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition]) ).
thf(f3178,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_106 ),
inference(avatar_component_clause,[],[f3177]) ).
thf(f3201,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f31,f2427]) ).
thf(f3206,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f3201]) ).
thf(f3227,definition,
( spl2_108
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_108])],[avatar_definition]) ).
thf(f3228,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_108 ),
inference(avatar_component_clause,[],[f3227]) ).
thf(f3231,definition,
( spl2_109
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_109])],[avatar_definition]) ).
thf(f3232,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_109 ),
inference(avatar_component_clause,[],[f3231]) ).
thf(f3236,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_88 ),
inference(avatar_component_clause,[],[f2515]) ).
thf(f3241,definition,
( spl2_110
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f3242,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f3241]) ).
thf(f3256,definition,
( spl2_111
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_111])],[avatar_definition]) ).
thf(f3257,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_111 ),
inference(avatar_component_clause,[],[f3256]) ).
thf(f3298,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_72
| ~ spl2_96 ),
inference(constrained_superposition,[],[f2420,f2584]) ).
thf(f3412,plain,
( $false
| ~ spl2_72
| spl2_88
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f3298,f3236]) ).
thf(f3413,plain,
( ~ spl2_72
| spl2_88
| ~ spl2_96 ),
inference(avatar_contradiction_clause,[],[f3412]) ).
thf(f3490,definition,
( spl2_115
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_115])],[avatar_definition]) ).
thf(f3491,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_115 ),
inference(avatar_component_clause,[],[f3490]) ).
thf(f3541,definition,
( spl2_116
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_116])],[avatar_definition]) ).
thf(f3542,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(avatar_component_clause,[],[f3541]) ).
thf(f3544,definition,
( spl2_117
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_117])],[avatar_definition]) ).
thf(f3545,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_117 ),
inference(avatar_component_clause,[],[f3544]) ).
thf(f3556,definition,
( spl2_120
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).
thf(f3557,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_120 ),
inference(avatar_component_clause,[],[f3556]) ).
thf(f3561,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_117 ),
inference(constrained_superposition,[],[f3545,f52]) ).
thf(f3565,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_117 ),
inference(trivial_inequality_removal,[],[f3561]) ).
thf(f3568,definition,
( spl2_121
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f3569,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_121 ),
inference(avatar_component_clause,[],[f3568]) ).
thf(f3571,definition,
( spl2_122
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
thf(f3572,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f3571]) ).
thf(f3575,plain,
( spl2_121
| spl2_92
| spl2_117 ),
inference(avatar_split_clause,[],[f3565,f3544,f2528,f3568]) ).
thf(f3626,definition,
( spl2_124
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).
thf(f3627,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_124 ),
inference(avatar_component_clause,[],[f3626]) ).
thf(f3629,definition,
( spl2_125
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_125])],[avatar_definition]) ).
thf(f3630,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_125 ),
inference(avatar_component_clause,[],[f3629]) ).
thf(f3652,definition,
( spl2_126
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_126])],[avatar_definition]) ).
thf(f3653,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_126 ),
inference(avatar_component_clause,[],[f3652]) ).
thf(f3655,definition,
( spl2_127
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).
thf(f3656,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f3655]) ).
thf(f3678,definition,
( spl2_128
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).
thf(f3679,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_128 ),
inference(avatar_component_clause,[],[f3678]) ).
thf(f3693,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_18
| ~ spl2_79 ),
inference(constrained_superposition,[],[f219,f2444]) ).
thf(f3705,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f3693]) ).
thf(f3744,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_86 ),
inference(constrained_superposition,[],[f2509,f2427]) ).
thf(f3745,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_86 ),
inference(constrained_superposition,[],[f2509,f2437]) ).
thf(f3746,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_86 ),
inference(constrained_superposition,[],[f2509,f51]) ).
thf(f3747,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_86 ),
inference(trivial_inequality_removal,[],[f3746]) ).
thf(f3749,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_74
| ~ spl2_86 ),
inference(trivial_inequality_removal,[],[f3744]) ).
thf(f3750,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_77
| ~ spl2_86 ),
inference(trivial_inequality_removal,[],[f3745]) ).
thf(f3757,definition,
( spl2_129
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_129])],[avatar_definition]) ).
thf(f3758,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_129 ),
inference(avatar_component_clause,[],[f3757]) ).
thf(f3760,definition,
( spl2_130
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_130])],[avatar_definition]) ).
thf(f3761,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_130 ),
inference(avatar_component_clause,[],[f3760]) ).
thf(f3762,plain,
( ~ spl2_129
| ~ spl2_12
| spl2_130
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f3747,f2508,f3760,f154,f3757]) ).
thf(f3764,definition,
( spl2_131
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_131])],[avatar_definition]) ).
thf(f3765,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_131 ),
inference(avatar_component_clause,[],[f3764]) ).
thf(f3766,plain,
( ~ spl2_131
| ~ spl2_109
| ~ spl2_74
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f3749,f2508,f2426,f3231,f3764]) ).
thf(f3768,definition,
( spl2_132
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).
thf(f3769,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_132 ),
inference(avatar_component_clause,[],[f3768]) ).
thf(f3770,plain,
( ~ spl2_116
| ~ spl2_132
| ~ spl2_77
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f3750,f2508,f2436,f3768,f3541]) ).
thf(f3772,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_91 ),
inference(avatar_component_clause,[],[f2525]) ).
thf(f3834,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_91 ),
inference(constrained_superposition,[],[f3772,f52]) ).
thf(f3839,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_91 ),
inference(trivial_inequality_removal,[],[f3834]) ).
thf(f3844,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_30
| spl2_91 ),
inference(forward_subsumption_resolution,[],[f3839,f2316]) ).
thf(f3848,plain,
( $false
| ~ spl2_7
| ~ spl2_28
| spl2_30
| spl2_91 ),
inference(forward_subsumption_resolution,[],[f3844,f405]) ).
thf(f3849,plain,
( ~ spl2_7
| ~ spl2_28
| spl2_30
| spl2_91 ),
inference(avatar_contradiction_clause,[],[f3848]) ).
thf(f3862,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_91 ),
inference(constrained_superposition,[],[f219,f2526]) ).
thf(f3867,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f31,f2526]) ).
thf(f3869,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f3862]) ).
thf(f3883,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f3867]) ).
thf(f3919,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_132 ),
inference(constrained_superposition,[],[f3769,f83]) ).
thf(f3923,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_132 ),
inference(trivial_inequality_removal,[],[f3919]) ).
thf(f3928,definition,
( spl2_134
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_134])],[avatar_definition]) ).
thf(f3929,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_134 ),
inference(avatar_component_clause,[],[f3928]) ).
thf(f3930,plain,
( spl2_134
| spl2_87
| spl2_132 ),
inference(avatar_split_clause,[],[f3923,f3768,f2512,f3928]) ).
thf(f3959,definition,
( spl2_136
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_136])],[avatar_definition]) ).
thf(f3960,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_136 ),
inference(avatar_component_clause,[],[f3959]) ).
thf(f3978,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_125 ),
inference(constrained_superposition,[],[f3630,f51]) ).
thf(f3985,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f3978]) ).
thf(f3992,definition,
( spl2_138
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_138])],[avatar_definition]) ).
thf(f3993,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_138 ),
inference(avatar_component_clause,[],[f3992]) ).
thf(f3995,definition,
( spl2_139
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_139])],[avatar_definition]) ).
thf(f3996,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_139 ),
inference(avatar_component_clause,[],[f3995]) ).
thf(f3997,plain,
( ~ spl2_138
| ~ spl2_12
| spl2_139
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f3985,f3629,f3995,f154,f3992]) ).
thf(f4000,definition,
( spl2_140
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_140])],[avatar_definition]) ).
thf(f4001,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_140 ),
inference(avatar_component_clause,[],[f4000]) ).
thf(f4214,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_96 ),
inference(avatar_component_clause,[],[f2583]) ).
thf(f4240,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_87 ),
inference(avatar_component_clause,[],[f2512]) ).
thf(f4252,definition,
( spl2_142
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_142])],[avatar_definition]) ).
thf(f4253,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_142 ),
inference(avatar_component_clause,[],[f4252]) ).
thf(f4259,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f230,f4240]) ).
thf(f4260,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f1753,f4240]) ).
thf(f4267,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f83,f4240]) ).
thf(f4274,definition,
( spl2_143
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_143])],[avatar_definition]) ).
thf(f4275,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_143 ),
inference(avatar_component_clause,[],[f4274]) ).
thf(f4277,definition,
( spl2_144
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_144])],[avatar_definition]) ).
thf(f4278,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_144 ),
inference(avatar_component_clause,[],[f4277]) ).
thf(f4279,plain,
( spl2_143
| spl2_144
| spl2_87 ),
inference(avatar_split_clause,[],[f4259,f2512,f4277,f4274]) ).
thf(f4281,definition,
( spl2_145
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_145])],[avatar_definition]) ).
thf(f4282,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_145 ),
inference(avatar_component_clause,[],[f4281]) ).
thf(f4284,definition,
( spl2_146
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_146])],[avatar_definition]) ).
thf(f4285,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_146 ),
inference(avatar_component_clause,[],[f4284]) ).
thf(f4287,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132 ),
inference(avatar_component_clause,[],[f3768]) ).
thf(f4290,definition,
( spl2_147
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_147])],[avatar_definition]) ).
thf(f4291,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_147 ),
inference(avatar_component_clause,[],[f4290]) ).
thf(f4293,definition,
( spl2_148
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_148])],[avatar_definition]) ).
thf(f4294,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_148 ),
inference(avatar_component_clause,[],[f4293]) ).
thf(f4295,plain,
( spl2_147
| spl2_148
| spl2_87 ),
inference(avatar_split_clause,[],[f4267,f2512,f4293,f4290]) ).
thf(f4312,definition,
( spl2_149
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_149])],[avatar_definition]) ).
thf(f4313,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_149 ),
inference(avatar_component_clause,[],[f4312]) ).
thf(f4315,definition,
( spl2_150
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_150])],[avatar_definition]) ).
thf(f4316,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_150 ),
inference(avatar_component_clause,[],[f4315]) ).
thf(f4319,definition,
( spl2_151
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_151])],[avatar_definition]) ).
thf(f4320,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_151 ),
inference(avatar_component_clause,[],[f4319]) ).
thf(f4322,definition,
( spl2_152
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_152])],[avatar_definition]) ).
thf(f4323,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_152 ),
inference(avatar_component_clause,[],[f4322]) ).
thf(f4328,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74
| ~ spl2_103 ),
inference(constrained_superposition,[],[f2427,f3097]) ).
thf(f4329,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_77
| ~ spl2_103 ),
inference(constrained_superposition,[],[f2437,f3097]) ).
thf(f4435,plain,
( $false
| ~ spl2_77
| spl2_88
| ~ spl2_103 ),
inference(forward_subsumption_resolution,[],[f4329,f3236]) ).
thf(f4436,plain,
( ~ spl2_77
| spl2_88
| ~ spl2_103 ),
inference(avatar_contradiction_clause,[],[f4435]) ).
thf(f4437,plain,
( $false
| ~ spl2_74
| spl2_88
| ~ spl2_103 ),
inference(forward_subsumption_resolution,[],[f4328,f3236]) ).
thf(f4438,plain,
( ~ spl2_74
| spl2_88
| ~ spl2_103 ),
inference(avatar_contradiction_clause,[],[f4437]) ).
thf(f4494,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_142 ),
inference(constrained_superposition,[],[f81,f4253]) ).
thf(f4589,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_9
| ~ spl2_142 ),
inference(forward_subsumption_resolution,[],[f4494,f145]) ).
thf(f4610,plain,
( $false
| spl2_9
| spl2_49
| ~ spl2_142 ),
inference(forward_subsumption_resolution,[],[f4589,f1538]) ).
thf(f4611,plain,
( spl2_9
| spl2_49
| ~ spl2_142 ),
inference(avatar_contradiction_clause,[],[f4610]) ).
thf(f4617,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_138 ),
inference(constrained_superposition,[],[f3993,f51]) ).
thf(f4619,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_138 ),
inference(trivial_inequality_removal,[],[f4617]) ).
thf(f4621,plain,
( spl2_130
| spl2_138 ),
inference(avatar_split_clause,[],[f4619,f3992,f3760]) ).
thf(f4723,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_100
| ~ spl2_147 ),
inference(constrained_superposition,[],[f3048,f4291]) ).
thf(f4730,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_100
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f4723]) ).
thf(f4740,definition,
( spl2_156
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_156])],[avatar_definition]) ).
thf(f4741,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_156 ),
inference(avatar_component_clause,[],[f4740]) ).
thf(f4743,plain,
( $false
| ~ spl2_100
| ~ spl2_124
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f4730,f3627]) ).
thf(f4744,plain,
( ~ spl2_100
| ~ spl2_124
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f4743]) ).
thf(f4762,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f96,f4294]) ).
thf(f4764,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f65,f4294]) ).
thf(f4767,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_148 ),
inference(constrained_superposition,[],[f219,f4294]) ).
thf(f4782,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_18
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f4767]) ).
thf(f4783,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f4762]) ).
thf(f4789,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f4764]) ).
thf(f4795,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_121
| ~ spl2_128 ),
inference(constrained_superposition,[],[f3679,f3569]) ).
thf(f4809,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_121
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f4795]) ).
thf(f4973,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_93
| ~ spl2_143 ),
inference(constrained_superposition,[],[f2533,f4275]) ).
thf(f4987,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f4973]) ).
thf(f4999,definition,
( spl2_160
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_160])],[avatar_definition]) ).
thf(f5000,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_160 ),
inference(avatar_component_clause,[],[f4999]) ).
thf(f5002,definition,
( spl2_161
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_161])],[avatar_definition]) ).
thf(f5003,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_161 ),
inference(avatar_component_clause,[],[f5002]) ).
thf(f5006,definition,
( spl2_162
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
thf(f5007,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_162 ),
inference(avatar_component_clause,[],[f5006]) ).
thf(f5018,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_81 ),
inference(constrained_superposition,[],[f2490,f52]) ).
thf(f5020,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_81 ),
inference(trivial_inequality_removal,[],[f5018]) ).
thf(f5024,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_81
| spl2_87 ),
inference(forward_subsumption_resolution,[],[f5020,f4240]) ).
thf(f5027,plain,
( spl2_104
| spl2_81
| spl2_87 ),
inference(avatar_split_clause,[],[f5024,f2512,f2489,f3099]) ).
thf(f5028,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_104
| ~ spl2_111 ),
inference(constrained_superposition,[],[f3257,f3100]) ).
thf(f5034,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_104
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f5028]) ).
thf(f5039,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| ~ spl2_143 ),
inference(constrained_superposition,[],[f4987,f233]) ).
thf(f5044,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f5039]) ).
thf(f5048,plain,
( spl2_162
| ~ spl2_93
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f5044,f4274,f2532,f5006]) ).
thf(f5074,definition,
( spl2_166
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_166])],[avatar_definition]) ).
thf(f5075,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_166 ),
inference(avatar_component_clause,[],[f5074]) ).
thf(f5166,definition,
( spl2_169
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_169])],[avatar_definition]) ).
thf(f5167,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_169 ),
inference(avatar_component_clause,[],[f5166]) ).
thf(f5169,definition,
( spl2_170
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_170])],[avatar_definition]) ).
thf(f5170,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_170 ),
inference(avatar_component_clause,[],[f5169]) ).
thf(f5172,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_169 ),
inference(constrained_superposition,[],[f5167,f233]) ).
thf(f5174,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_169 ),
inference(constrained_superposition,[],[f5167,f52]) ).
thf(f5176,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_169 ),
inference(trivial_inequality_removal,[],[f5172]) ).
thf(f5177,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_169 ),
inference(trivial_inequality_removal,[],[f5174]) ).
thf(f5180,plain,
( spl2_162
| spl2_169 ),
inference(avatar_split_clause,[],[f5176,f5166,f5006]) ).
thf(f5181,plain,
( spl2_162
| spl2_142
| spl2_169 ),
inference(avatar_split_clause,[],[f5177,f5166,f4252,f5006]) ).
thf(f5299,definition,
( spl2_175
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f5300,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f5299]) ).
thf(f5306,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f5170,f82]) ).
thf(f5308,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f5170,f50]) ).
thf(f5312,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f5308]) ).
thf(f5313,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f5306]) ).
thf(f5329,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f3883,f51]) ).
thf(f5331,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f5329]) ).
thf(f5348,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f5003,f51]) ).
thf(f5349,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f5348]) ).
thf(f5359,definition,
( spl2_176
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f5360,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_176 ),
inference(avatar_component_clause,[],[f5359]) ).
thf(f5361,plain,
( ~ spl2_12
| ~ spl2_138
| spl2_176
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f5349,f5002,f5359,f3992,f154]) ).
thf(f5375,definition,
( spl2_177
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).
thf(f5376,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_177 ),
inference(avatar_component_clause,[],[f5375]) ).
thf(f5412,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f5300,f51]) ).
thf(f5416,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f5412]) ).
thf(f5423,definition,
( spl2_179
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).
thf(f5424,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_179 ),
inference(avatar_component_clause,[],[f5423]) ).
thf(f5425,plain,
( ~ spl2_12
| ~ spl2_179
| spl2_176
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f5416,f5299,f5359,f5423,f154]) ).
thf(f5432,definition,
( spl2_181
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).
thf(f5433,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_181 ),
inference(avatar_component_clause,[],[f5432]) ).
thf(f5435,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_179 ),
inference(constrained_superposition,[],[f5424,f51]) ).
thf(f5437,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_179 ),
inference(trivial_inequality_removal,[],[f5435]) ).
thf(f5439,plain,
( spl2_139
| spl2_179 ),
inference(avatar_split_clause,[],[f5437,f5423,f3995]) ).
thf(f5441,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(constrained_superposition,[],[f3542,f82]) ).
thf(f5445,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f5441]) ).
thf(f5472,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_74
| ~ spl2_146 ),
inference(constrained_superposition,[],[f3206,f4285]) ).
thf(f5473,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f3206,f51]) ).
thf(f5476,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_74
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f5472]) ).
thf(f5479,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f5473]) ).
thf(f5486,definition,
( spl2_182
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_182])],[avatar_definition]) ).
thf(f5487,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_182 ),
inference(avatar_component_clause,[],[f5486]) ).
thf(f5489,definition,
( spl2_183
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f5490,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_183 ),
inference(avatar_component_clause,[],[f5489]) ).
thf(f5491,plain,
( spl2_182
| ~ spl2_183
| ~ spl2_74
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f5476,f4284,f2426,f5489,f5486]) ).
thf(f5493,definition,
( spl2_184
<=> ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f5494,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f5493]) ).
thf(f5495,plain,
( ~ spl2_129
| spl2_130
| spl2_184
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f5479,f2426,f5493,f3760,f3757]) ).
thf(f5505,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_72
| ~ spl2_184 ),
inference(constrained_superposition,[],[f5494,f2420]) ).
thf(f5506,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_132
| ~ spl2_184 ),
inference(constrained_superposition,[],[f5494,f4287]) ).
thf(f5511,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_72
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f5505]) ).
thf(f5515,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_132
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f5506]) ).
thf(f5518,plain,
( ~ spl2_138
| ~ spl2_72
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f5511,f5493,f2419,f3992]) ).
thf(f5519,plain,
( ~ spl2_179
| ~ spl2_132
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f5515,f5493,f3768,f5423]) ).
thf(f5522,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_129 ),
inference(constrained_superposition,[],[f3758,f51]) ).
thf(f5524,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_129 ),
inference(trivial_inequality_removal,[],[f5522]) ).
thf(f5527,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_7
| spl2_129 ),
inference(constrained_superposition,[],[f116,f5524]) ).
thf(f5529,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_7
| spl2_129 ),
inference(trivial_inequality_removal,[],[f5527]) ).
thf(f5532,plain,
( ( $true != $true )
| ~ spl2_7
| ~ spl2_80
| spl2_129 ),
inference(constrained_superposition,[],[f5529,f2487]) ).
thf(f5533,plain,
( ( $true != $true )
| ~ spl2_7
| ~ spl2_85
| spl2_129 ),
inference(constrained_superposition,[],[f5529,f2506]) ).
thf(f5547,plain,
( $false
| ~ spl2_7
| ~ spl2_85
| spl2_129 ),
inference(trivial_inequality_removal,[],[f5533]) ).
thf(f5548,plain,
( ~ spl2_7
| ~ spl2_85
| spl2_129 ),
inference(avatar_contradiction_clause,[],[f5547]) ).
thf(f5554,plain,
( $false
| ~ spl2_7
| ~ spl2_80
| spl2_129 ),
inference(trivial_inequality_removal,[],[f5532]) ).
thf(f5555,plain,
( ~ spl2_7
| ~ spl2_80
| spl2_129 ),
inference(avatar_contradiction_clause,[],[f5554]) ).
thf(f5585,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_88 ),
inference(constrained_superposition,[],[f219,f2516]) ).
thf(f5602,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f5585]) ).
thf(f5609,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_75
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3048,f2430]) ).
thf(f5617,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_75
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f5609]) ).
thf(f5621,plain,
( $false
| ~ spl2_75
| ~ spl2_100
| ~ spl2_108 ),
inference(forward_subsumption_resolution,[],[f5617,f3228]) ).
thf(f5622,plain,
( ~ spl2_75
| ~ spl2_100
| ~ spl2_108 ),
inference(avatar_contradiction_clause,[],[f5621]) ).
thf(f5686,definition,
( spl2_187
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_187])],[avatar_definition]) ).
thf(f5687,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_187 ),
inference(avatar_component_clause,[],[f5686]) ).
thf(f5689,definition,
( spl2_188
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_188])],[avatar_definition]) ).
thf(f5690,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_188 ),
inference(avatar_component_clause,[],[f5689]) ).
thf(f5692,definition,
( spl2_189
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_189])],[avatar_definition]) ).
thf(f5693,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_189 ),
inference(avatar_component_clause,[],[f5692]) ).
thf(f5696,definition,
( spl2_190
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_190])],[avatar_definition]) ).
thf(f5697,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_190 ),
inference(avatar_component_clause,[],[f5696]) ).
thf(f5700,definition,
( spl2_191
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).
thf(f5701,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_191 ),
inference(avatar_component_clause,[],[f5700]) ).
thf(f5703,definition,
( spl2_192
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_192])],[avatar_definition]) ).
thf(f5704,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_192 ),
inference(avatar_component_clause,[],[f5703]) ).
thf(f5706,plain,
( $false
| ~ spl2_7
| ~ spl2_28
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f323,f405]) ).
thf(f5707,plain,
( ~ spl2_7
| ~ spl2_28
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f5706]) ).
thf(f5709,definition,
( spl2_193
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).
thf(f5710,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193 ),
inference(avatar_component_clause,[],[f5709]) ).
thf(f5711,plain,
( spl2_187
| spl2_193
| ~ spl2_109
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f4783,f4293,f3231,f5709,f5686]) ).
thf(f5715,definition,
( spl2_194
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_194])],[avatar_definition]) ).
thf(f5716,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_194 ),
inference(avatar_component_clause,[],[f5715]) ).
thf(f5720,definition,
( spl2_195
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_195])],[avatar_definition]) ).
thf(f5721,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_195 ),
inference(avatar_component_clause,[],[f5720]) ).
thf(f5724,definition,
( spl2_196
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_196])],[avatar_definition]) ).
thf(f5725,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_196 ),
inference(avatar_component_clause,[],[f5724]) ).
thf(f5731,definition,
( spl2_198
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).
thf(f5732,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_198 ),
inference(avatar_component_clause,[],[f5731]) ).
thf(f5734,definition,
( spl2_199
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_199])],[avatar_definition]) ).
thf(f5735,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_199 ),
inference(avatar_component_clause,[],[f5734]) ).
thf(f5736,plain,
( spl2_108
| spl2_198
| ~ spl2_199
| ~ spl2_18
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f3705,f2443,f207,f5734,f5731,f3227]) ).
thf(f5738,definition,
( spl2_200
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_200])],[avatar_definition]) ).
thf(f5739,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_200 ),
inference(avatar_component_clause,[],[f5738]) ).
thf(f5740,plain,
( spl2_85
| spl2_200
| ~ spl2_24
| ~ spl2_18
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f5602,f2515,f207,f283,f5738,f2505]) ).
thf(f5741,plain,
( spl2_200
| ~ spl2_199
| spl2_85
| ~ spl2_18
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f4782,f4293,f207,f2505,f5734,f5738]) ).
thf(f5743,definition,
( spl2_201
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).
thf(f5744,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_201 ),
inference(avatar_component_clause,[],[f5743]) ).
thf(f5746,definition,
( spl2_202
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_202])],[avatar_definition]) ).
thf(f5747,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_202 ),
inference(avatar_component_clause,[],[f5746]) ).
thf(f5748,plain,
( spl2_201
| spl2_139
| ~ spl2_202
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f4789,f4293,f5746,f3995,f5743]) ).
thf(f5758,definition,
( spl2_205
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_205])],[avatar_definition]) ).
thf(f5759,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_205 ),
inference(avatar_component_clause,[],[f5758]) ).
thf(f5766,definition,
( spl2_207
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_207])],[avatar_definition]) ).
thf(f5767,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_207 ),
inference(avatar_component_clause,[],[f5766]) ).
thf(f5777,definition,
( spl2_210
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_210])],[avatar_definition]) ).
thf(f5778,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_210 ),
inference(avatar_component_clause,[],[f5777]) ).
thf(f5781,definition,
( spl2_211
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_211])],[avatar_definition]) ).
thf(f5782,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_211 ),
inference(avatar_component_clause,[],[f5781]) ).
thf(f5795,definition,
( spl2_214
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_214])],[avatar_definition]) ).
thf(f5796,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_214 ),
inference(avatar_component_clause,[],[f5795]) ).
thf(f5811,definition,
( spl2_218
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_218])],[avatar_definition]) ).
thf(f5812,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_218 ),
inference(avatar_component_clause,[],[f5811]) ).
thf(f5815,definition,
( spl2_219
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_219])],[avatar_definition]) ).
thf(f5816,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_219 ),
inference(avatar_component_clause,[],[f5815]) ).
thf(f5818,definition,
( spl2_220
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_220])],[avatar_definition]) ).
thf(f5819,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_220 ),
inference(avatar_component_clause,[],[f5818]) ).
thf(f5828,definition,
( spl2_222
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_222])],[avatar_definition]) ).
thf(f5829,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_222 ),
inference(avatar_component_clause,[],[f5828]) ).
thf(f5833,definition,
( spl2_223
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_223])],[avatar_definition]) ).
thf(f5834,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_223 ),
inference(avatar_component_clause,[],[f5833]) ).
thf(f5835,plain,
( spl2_223
| spl2_31 ),
inference(avatar_split_clause,[],[f1599,f322,f5833]) ).
thf(f5841,definition,
( spl2_225
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f5842,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f5841]) ).
thf(f5849,definition,
( spl2_227
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f5850,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) ) )
| ~ spl2_227 ),
inference(avatar_component_clause,[],[f5849]) ).
thf(f5854,definition,
( spl2_228
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_228])],[avatar_definition]) ).
thf(f5855,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_228 ),
inference(avatar_component_clause,[],[f5854]) ).
thf(f5858,plain,
( spl2_31
| ~ spl2_4
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f1498,f280,f98,f322]) ).
thf(f5864,definition,
( spl2_230
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_230])],[avatar_definition]) ).
thf(f5865,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_230 ),
inference(avatar_component_clause,[],[f5864]) ).
thf(f5869,plain,
( spl2_211
| ~ spl2_36
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f5312,f5169,f386,f5781]) ).
thf(f5873,definition,
( spl2_231
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_231])],[avatar_definition]) ).
thf(f5874,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_231 ),
inference(avatar_component_clause,[],[f5873]) ).
thf(f5878,definition,
( spl2_232
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f5879,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f5878]) ).
thf(f5888,definition,
( spl2_234
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_234])],[avatar_definition]) ).
thf(f5889,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_234 ),
inference(avatar_component_clause,[],[f5888]) ).
thf(f5896,plain,
( ~ spl2_36
| spl2_219
| spl2_35
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f5331,f2525,f383,f5815,f386]) ).
thf(f5898,definition,
( spl2_236
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_236])],[avatar_definition]) ).
thf(f5899,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_236 ),
inference(avatar_component_clause,[],[f5898]) ).
thf(f5906,definition,
( spl2_238
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_238])],[avatar_definition]) ).
thf(f5907,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_238 ),
inference(avatar_component_clause,[],[f5906]) ).
thf(f5911,definition,
( spl2_239
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_239])],[avatar_definition]) ).
thf(f5912,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_239 ),
inference(avatar_component_clause,[],[f5911]) ).
thf(f5917,definition,
( spl2_240
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_240])],[avatar_definition]) ).
thf(f5918,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_240 ),
inference(avatar_component_clause,[],[f5917]) ).
thf(f5923,definition,
( spl2_241
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_241])],[avatar_definition]) ).
thf(f5924,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_241 ),
inference(avatar_component_clause,[],[f5923]) ).
thf(f5926,plain,
( spl2_40
| spl2_16
| spl2_19 ),
inference(avatar_split_clause,[],[f1749,f210,f200,f454]) ).
thf(f5939,plain,
( spl2_196
| spl2_31
| ~ spl2_202
| ~ spl2_18
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f3869,f2525,f207,f5746,f322,f5724]) ).
thf(f5951,definition,
( spl2_245
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).
thf(f5952,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_245 ),
inference(avatar_component_clause,[],[f5951]) ).
thf(f5955,definition,
( spl2_246
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_246])],[avatar_definition]) ).
thf(f5956,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_246 ),
inference(avatar_component_clause,[],[f5955]) ).
thf(f5976,definition,
( spl2_251
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_251])],[avatar_definition]) ).
thf(f5977,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_251 ),
inference(avatar_component_clause,[],[f5976]) ).
thf(f5980,plain,
( spl2_124
| spl2_116 ),
inference(avatar_split_clause,[],[f5445,f3541,f3626]) ).
thf(f5985,definition,
( spl2_252
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_252])],[avatar_definition]) ).
thf(f5986,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_252 ),
inference(avatar_component_clause,[],[f5985]) ).
thf(f5988,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_19 ),
inference(constrained_superposition,[],[f116,f211]) ).
thf(f5991,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_7
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f5988]) ).
thf(f5992,plain,
( spl2_47
| ~ spl2_7
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f5991,f210,f115,f595]) ).
thf(f5998,plain,
( ( $true != $true )
| ~ spl2_42
| ~ spl2_47 ),
inference(constrained_superposition,[],[f596,f469]) ).
thf(f6001,plain,
( $false
| ~ spl2_42
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f5998]) ).
thf(f6002,plain,
( ~ spl2_42
| ~ spl2_47 ),
inference(avatar_contradiction_clause,[],[f6001]) ).
thf(f6029,plain,
( $false
| ~ spl2_31
| ~ spl2_121
| ~ spl2_128 ),
inference(forward_subsumption_resolution,[],[f4809,f323]) ).
thf(f6030,plain,
( ~ spl2_31
| ~ spl2_121
| ~ spl2_128 ),
inference(avatar_contradiction_clause,[],[f6029]) ).
thf(f6031,plain,
( $false
| ~ spl2_31
| ~ spl2_104
| ~ spl2_111 ),
inference(forward_subsumption_resolution,[],[f5034,f323]) ).
thf(f6032,plain,
( ~ spl2_31
| ~ spl2_104
| ~ spl2_111 ),
inference(avatar_contradiction_clause,[],[f6031]) ).
thf(f6034,definition,
( spl2_254
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_254])],[avatar_definition]) ).
thf(f6035,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_254 ),
inference(avatar_component_clause,[],[f6034]) ).
thf(f6038,plain,
( spl2_104
| spl2_198
| spl2_196
| spl2_28
| spl2_87 ),
inference(avatar_split_clause,[],[f4260,f2512,f306,f5724,f5731,f3099]) ).
thf(f6043,definition,
( spl2_255
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_255])],[avatar_definition]) ).
thf(f6044,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_255 ),
inference(avatar_component_clause,[],[f6043]) ).
thf(f6047,definition,
( spl2_256
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_256])],[avatar_definition]) ).
thf(f6048,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_256 ),
inference(avatar_component_clause,[],[f6047]) ).
thf(f6052,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_202 ),
inference(constrained_superposition,[],[f5747,f50]) ).
thf(f6054,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_202 ),
inference(trivial_inequality_removal,[],[f6052]) ).
thf(f6056,plain,
( spl2_200
| spl2_202 ),
inference(avatar_split_clause,[],[f6054,f5746,f5738]) ).
thf(f6058,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_109 ),
inference(constrained_superposition,[],[f3232,f82]) ).
thf(f6060,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_109 ),
inference(constrained_superposition,[],[f3232,f25]) ).
thf(f6062,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_109 ),
inference(trivial_inequality_removal,[],[f6058]) ).
thf(f6063,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_109 ),
inference(trivial_inequality_removal,[],[f6060]) ).
thf(f6065,plain,
( spl2_85
| spl2_109 ),
inference(avatar_split_clause,[],[f6062,f3231,f2505]) ).
thf(f6066,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_87
| spl2_109 ),
inference(forward_subsumption_resolution,[],[f6063,f4240]) ).
thf(f6067,plain,
( spl2_85
| spl2_87
| spl2_109 ),
inference(avatar_split_clause,[],[f6066,f3231,f2512,f2505]) ).
thf(f6068,plain,
( $false
| ~ spl2_47
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f5687,f596]) ).
thf(f6069,plain,
( ~ spl2_47
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f6068]) ).
thf(f6070,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_198 ),
inference(constrained_superposition,[],[f3257,f5732]) ).
thf(f6075,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f6070]) ).
thf(f6079,plain,
( $false
| ~ spl2_19
| ~ spl2_111
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f6075,f211]) ).
thf(f6080,plain,
( ~ spl2_19
| ~ spl2_111
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f6079]) ).
thf(f6094,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_100
| ~ spl2_200 ),
inference(constrained_superposition,[],[f3048,f5739]) ).
thf(f6101,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_100
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f6094]) ).
thf(f6104,plain,
( $false
| ~ spl2_19
| ~ spl2_100
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f6101,f211]) ).
thf(f6105,plain,
( ~ spl2_19
| ~ spl2_100
| ~ spl2_200 ),
inference(avatar_contradiction_clause,[],[f6104]) ).
thf(f6113,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_205 ),
inference(constrained_superposition,[],[f5759,f50]) ).
thf(f6116,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_205 ),
inference(trivial_inequality_removal,[],[f6113]) ).
thf(f6125,definition,
( spl2_257
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_257])],[avatar_definition]) ).
thf(f6126,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_257 ),
inference(avatar_component_clause,[],[f6125]) ).
thf(f6129,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_80
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3048,f2487]) ).
thf(f6136,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_80
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f6129]) ).
thf(f6140,plain,
( $false
| ~ spl2_31
| ~ spl2_80
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f6136,f323]) ).
thf(f6141,plain,
( ~ spl2_31
| ~ spl2_80
| ~ spl2_100 ),
inference(avatar_contradiction_clause,[],[f6140]) ).
thf(f6146,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_88 ),
inference(constrained_superposition,[],[f3236,f233]) ).
thf(f6148,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_88 ),
inference(constrained_superposition,[],[f3236,f52]) ).
thf(f6152,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_88 ),
inference(trivial_inequality_removal,[],[f6148]) ).
thf(f6153,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_88 ),
inference(trivial_inequality_removal,[],[f6146]) ).
thf(f6154,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_199 ),
inference(constrained_superposition,[],[f5735,f50]) ).
thf(f6157,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_199 ),
inference(trivial_inequality_removal,[],[f6154]) ).
thf(f6159,plain,
( spl2_201
| spl2_199 ),
inference(avatar_split_clause,[],[f6157,f5734,f5743]) ).
thf(f6160,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_91 ),
inference(constrained_superposition,[],[f3772,f232]) ).
thf(f6162,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_91 ),
inference(constrained_superposition,[],[f3772,f52]) ).
thf(f6164,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_91 ),
inference(trivial_inequality_removal,[],[f6162]) ).
thf(f6167,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_91 ),
inference(trivial_inequality_removal,[],[f6160]) ).
thf(f6175,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_35 ),
inference(constrained_superposition,[],[f384,f81]) ).
thf(f6181,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f6175]) ).
thf(f6185,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) ) )
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5842,f1753]) ).
thf(f6186,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_220
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5842,f5819]) ).
thf(f6189,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_220
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f6186]) ).
thf(f6190,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f6185]) ).
thf(f6193,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f6190,f116]) ).
thf(f6195,definition,
( spl2_258
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_258])],[avatar_definition]) ).
thf(f6196,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_258 ),
inference(avatar_component_clause,[],[f6195]) ).
thf(f6197,plain,
( spl2_196
| spl2_258
| ~ spl2_7
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f6193,f5841,f115,f6195,f5724]) ).
thf(f6199,plain,
( ( $true != $true )
| ~ spl2_80
| ~ spl2_220
| ~ spl2_225 ),
inference(constrained_superposition,[],[f6189,f2487]) ).
thf(f6203,plain,
( $false
| ~ spl2_80
| ~ spl2_220
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f6199]) ).
thf(f6204,plain,
( ~ spl2_80
| ~ spl2_220
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f6203]) ).
thf(f6208,plain,
( spl2_220
| spl2_91 ),
inference(avatar_split_clause,[],[f6167,f2525,f5818]) ).
thf(f6209,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_30
| spl2_91 ),
inference(forward_subsumption_resolution,[],[f6164,f2316]) ).
thf(f6211,plain,
( spl2_220
| spl2_30
| spl2_91 ),
inference(avatar_split_clause,[],[f6209,f2525,f319,f5818]) ).
thf(f6214,plain,
( spl2_80
| spl2_88 ),
inference(avatar_split_clause,[],[f6153,f2515,f2486]) ).
thf(f6215,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_30
| spl2_88 ),
inference(forward_subsumption_resolution,[],[f6152,f2316]) ).
thf(f6217,plain,
( spl2_80
| spl2_30
| spl2_88 ),
inference(avatar_split_clause,[],[f6215,f2515,f319,f2486]) ).
thf(f6219,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_196
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5842,f5725]) ).
thf(f6224,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_196
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f6219]) ).
thf(f6226,plain,
( spl2_29
| ~ spl2_196
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f6224,f5841,f5724,f309]) ).
thf(f6227,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_219 ),
inference(constrained_superposition,[],[f116,f5816]) ).
thf(f6229,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_7
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f6227]) ).
thf(f6243,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35
| ~ spl2_88 ),
inference(constrained_superposition,[],[f384,f2516]) ).
thf(f6245,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f96,f2516]) ).
thf(f6260,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f6243]) ).
thf(f6263,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f6245]) ).
thf(f6268,plain,
( ~ spl2_129
| ~ spl2_35
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f6260,f2515,f383,f3757]) ).
thf(f6270,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_47
| ~ spl2_88 ),
inference(forward_subsumption_resolution,[],[f6263,f596]) ).
thf(f6273,plain,
( spl2_193
| ~ spl2_109
| ~ spl2_47
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f6270,f2515,f595,f3231,f5709]) ).
thf(f6281,plain,
( $false
| ~ spl2_7
| ~ spl2_80
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f2487,f6229]) ).
thf(f6282,plain,
( ~ spl2_7
| ~ spl2_80
| ~ spl2_219 ),
inference(avatar_contradiction_clause,[],[f6281]) ).
thf(f6308,definition,
( spl2_261
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_261])],[avatar_definition]) ).
thf(f6309,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_261 ),
inference(avatar_component_clause,[],[f6308]) ).
thf(f6312,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_177
| ~ spl2_211 ),
inference(constrained_superposition,[],[f5376,f5782]) ).
thf(f6315,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_177
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f6312]) ).
thf(f6318,plain,
( $false
| ~ spl2_19
| ~ spl2_177
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f6315,f211]) ).
thf(f6319,plain,
( ~ spl2_19
| ~ spl2_177
| ~ spl2_211 ),
inference(avatar_contradiction_clause,[],[f6318]) ).
thf(f6321,plain,
( spl2_160
| ~ spl2_37
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f5313,f5169,f390,f4999]) ).
thf(f6348,definition,
( spl2_262
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_262])],[avatar_definition]) ).
thf(f6349,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_262 ),
inference(avatar_component_clause,[],[f6348]) ).
thf(f6351,plain,
( spl2_42
| ~ spl2_12
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f6181,f383,f154,f468]) ).
thf(f6364,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_37 ),
inference(constrained_superposition,[],[f391,f25]) ).
thf(f6365,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_37 ),
inference(trivial_inequality_removal,[],[f6364]) ).
thf(f6368,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_30
| spl2_37 ),
inference(forward_subsumption_resolution,[],[f6365,f2316]) ).
thf(f6370,plain,
( spl2_42
| spl2_30
| spl2_37 ),
inference(avatar_split_clause,[],[f6368,f390,f319,f468]) ).
thf(f6389,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_176 ),
inference(constrained_superposition,[],[f116,f5360]) ).
thf(f6391,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ~ spl2_7
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f6389]) ).
thf(f6395,plain,
( ( $true != $true )
| ~ spl2_7
| ~ spl2_176
| ~ spl2_211 ),
inference(constrained_superposition,[],[f6391,f5782]) ).
thf(f6397,plain,
( $false
| ~ spl2_7
| ~ spl2_176
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f6395]) ).
thf(f6398,plain,
( ~ spl2_7
| ~ spl2_176
| ~ spl2_211 ),
inference(avatar_contradiction_clause,[],[f6397]) ).
thf(f6401,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_80 ),
inference(constrained_superposition,[],[f304,f2487]) ).
thf(f6406,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f6401]) ).
thf(f6411,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_27
| ~ spl2_80 ),
inference(constrained_superposition,[],[f6406,f1753]) ).
thf(f6414,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f6411]) ).
thf(f6416,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_27
| ~ spl2_80 ),
inference(forward_subsumption_resolution,[],[f6414,f41]) ).
thf(f6417,plain,
( spl2_16
| spl2_200
| spl2_219
| ~ spl2_27
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f6416,f2486,f303,f5815,f5738,f200]) ).
thf(f6425,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_220
| ~ spl2_262 ),
inference(constrained_superposition,[],[f6349,f5819]) ).
thf(f6426,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_231
| ~ spl2_262 ),
inference(constrained_superposition,[],[f6349,f5874]) ).
thf(f6433,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_231
| ~ spl2_262 ),
inference(trivial_inequality_removal,[],[f6426]) ).
thf(f6434,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_220
| ~ spl2_262 ),
inference(trivial_inequality_removal,[],[f6425]) ).
thf(f6436,plain,
( $false
| ~ spl2_108
| ~ spl2_231
| ~ spl2_262 ),
inference(forward_subsumption_resolution,[],[f6433,f3228]) ).
thf(f6437,plain,
( ~ spl2_108
| ~ spl2_231
| ~ spl2_262 ),
inference(avatar_contradiction_clause,[],[f6436]) ).
thf(f6444,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_80
| ~ spl2_95 ),
inference(constrained_superposition,[],[f2571,f2487]) ).
thf(f6446,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_80
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f6444]) ).
thf(f6455,plain,
( ( $true != $true )
| ~ spl2_80
| ~ spl2_95
| ~ spl2_220 ),
inference(constrained_superposition,[],[f6446,f5819]) ).
thf(f6456,plain,
( ( $true != $true )
| ~ spl2_31
| ~ spl2_80
| ~ spl2_95 ),
inference(constrained_superposition,[],[f6446,f323]) ).
thf(f6458,plain,
( ( $true != $true )
| ~ spl2_80
| ~ spl2_95
| ~ spl2_196 ),
inference(constrained_superposition,[],[f6446,f5725]) ).
thf(f6459,plain,
( $false
| ~ spl2_80
| ~ spl2_95
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f6458]) ).
thf(f6460,plain,
( ~ spl2_80
| ~ spl2_95
| ~ spl2_196 ),
inference(avatar_contradiction_clause,[],[f6459]) ).
thf(f6461,plain,
( $false
| ~ spl2_31
| ~ spl2_80
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f6456]) ).
thf(f6462,plain,
( ~ spl2_31
| ~ spl2_80
| ~ spl2_95 ),
inference(avatar_contradiction_clause,[],[f6461]) ).
thf(f6464,plain,
( $false
| ~ spl2_80
| ~ spl2_95
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f6455]) ).
thf(f6465,plain,
( ~ spl2_80
| ~ spl2_95
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f6464]) ).
thf(f6471,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f5494,f232]) ).
thf(f6477,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f6471]) ).
thf(f6483,plain,
( $false
| ~ spl2_85
| ~ spl2_220
| ~ spl2_262 ),
inference(forward_subsumption_resolution,[],[f2506,f6434]) ).
thf(f6484,plain,
( ~ spl2_85
| ~ spl2_220
| ~ spl2_262 ),
inference(avatar_contradiction_clause,[],[f6483]) ).
thf(f6498,definition,
( spl2_265
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_265])],[avatar_definition]) ).
thf(f6499,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_265 ),
inference(avatar_component_clause,[],[f6498]) ).
thf(f6528,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_214 ),
inference(constrained_superposition,[],[f5796,f233]) ).
thf(f6539,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f6528]) ).
thf(f6544,plain,
( ~ spl2_24
| spl2_80
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f6539,f5795,f2486,f283]) ).
thf(f6583,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f65,f2427]) ).
thf(f6601,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f6583]) ).
thf(f6605,definition,
( spl2_266
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_266])],[avatar_definition]) ).
thf(f6606,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_266 ),
inference(avatar_component_clause,[],[f6605]) ).
thf(f6611,definition,
( spl2_267
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_267])],[avatar_definition]) ).
thf(f6612,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_267 ),
inference(avatar_component_clause,[],[f6611]) ).
thf(f6623,definition,
( spl2_268
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_268])],[avatar_definition]) ).
thf(f6624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_268 ),
inference(avatar_component_clause,[],[f6623]) ).
thf(f6649,definition,
( spl2_269
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_269])],[avatar_definition]) ).
thf(f6650,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_269 ),
inference(avatar_component_clause,[],[f6649]) ).
thf(f6685,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_105
| ~ spl2_108 ),
inference(constrained_superposition,[],[f3175,f3228]) ).
thf(f6687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_105
| ~ spl2_198 ),
inference(constrained_superposition,[],[f3175,f5732]) ).
thf(f6688,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_105
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f6687]) ).
thf(f6689,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_105
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f6685]) ).
thf(f6693,plain,
( spl2_29
| ~ spl2_105
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f6688,f5731,f3174,f309]) ).
thf(f6694,plain,
( spl2_47
| ~ spl2_105
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f6689,f3227,f3174,f595]) ).
thf(f6695,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_220
| ~ spl2_265 ),
inference(constrained_superposition,[],[f6499,f5819]) ).
thf(f6704,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_220
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f6695]) ).
thf(f6707,plain,
( $false
| ~ spl2_42
| ~ spl2_220
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f6704,f469]) ).
thf(f6708,plain,
( ~ spl2_42
| ~ spl2_220
| ~ spl2_265 ),
inference(avatar_contradiction_clause,[],[f6707]) ).
thf(f6711,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_95
| ~ spl2_200 ),
inference(constrained_superposition,[],[f2571,f5739]) ).
thf(f6714,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_95
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f6711]) ).
thf(f6715,plain,
( spl2_29
| ~ spl2_95
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f6714,f5738,f2570,f309]) ).
thf(f6716,plain,
( spl2_220
| ~ spl2_36
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f6477,f5493,f386,f5818]) ).
thf(f6718,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_4 ),
inference(constrained_superposition,[],[f99,f50]) ).
thf(f6720,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_4 ),
inference(trivial_inequality_removal,[],[f6718]) ).
thf(f6722,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_219 ),
inference(constrained_superposition,[],[f116,f5816]) ).
thf(f6724,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_7
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f6722]) ).
thf(f6728,plain,
( ( $true != $true )
| ~ spl2_7
| ~ spl2_200
| ~ spl2_219 ),
inference(constrained_superposition,[],[f6724,f5739]) ).
thf(f6730,plain,
( $false
| ~ spl2_7
| ~ spl2_200
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f6728]) ).
thf(f6731,plain,
( ~ spl2_7
| ~ spl2_200
| ~ spl2_219 ),
inference(avatar_contradiction_clause,[],[f6730]) ).
thf(f6777,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_220
| ~ spl2_265 ),
inference(constrained_superposition,[],[f6499,f5819]) ).
thf(f6778,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_265 ),
inference(constrained_superposition,[],[f6499,f5716]) ).
thf(f6782,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_220
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f6777]) ).
thf(f6783,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f6778]) ).
thf(f6788,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_220
| ~ spl2_265 ),
inference(constrained_superposition,[],[f6782,f1753]) ).
thf(f6791,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_220
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f6788]) ).
thf(f6802,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_74
| ~ spl2_193 ),
inference(constrained_superposition,[],[f5710,f2427]) ).
thf(f6810,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f6802]) ).
thf(f6819,plain,
( ~ spl2_84
| ~ spl2_74
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f6810,f5709,f2426,f2501]) ).
thf(f6916,plain,
( ( $true != $true )
| ~ spl2_10
| ~ spl2_220
| ~ spl2_265 ),
inference(constrained_superposition,[],[f6782,f148]) ).
thf(f6926,plain,
( $false
| ~ spl2_10
| ~ spl2_220
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f6916]) ).
thf(f6927,plain,
( ~ spl2_10
| ~ spl2_220
| ~ spl2_265 ),
inference(avatar_contradiction_clause,[],[f6926]) ).
thf(f6961,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_74
| ~ spl2_110 ),
inference(constrained_superposition,[],[f3242,f2427]) ).
thf(f6976,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f6961]) ).
thf(f6978,plain,
( ~ spl2_81
| ~ spl2_74
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f6976,f3241,f2426,f2489]) ).
thf(f6990,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_127
| ~ spl2_201 ),
inference(constrained_superposition,[],[f3656,f5744]) ).
thf(f6993,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_127
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f6990]) ).
thf(f6995,plain,
( spl2_29
| ~ spl2_127
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f6993,f5743,f3655,f309]) ).
thf(f7050,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_110
| ~ spl2_148 ),
inference(constrained_superposition,[],[f3242,f4294]) ).
thf(f7059,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f7050]) ).
thf(f7068,plain,
( ~ spl2_117
| ~ spl2_110
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f7059,f4293,f3241,f3544]) ).
thf(f7084,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_73
| ~ spl2_257 ),
inference(constrained_superposition,[],[f6126,f2423]) ).
thf(f7085,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_134
| ~ spl2_257 ),
inference(constrained_superposition,[],[f6126,f3929]) ).
thf(f7086,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_220
| ~ spl2_257 ),
inference(constrained_superposition,[],[f6126,f5819]) ).
thf(f7087,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_257 ),
inference(constrained_superposition,[],[f6126,f5716]) ).
thf(f7091,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f7087]) ).
thf(f7092,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f7085]) ).
thf(f7094,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_220
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f7086]) ).
thf(f7096,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_73
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f7084]) ).
thf(f7098,plain,
( $false
| ~ spl2_73
| ~ spl2_231
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f7096,f5874]) ).
thf(f7099,plain,
( ~ spl2_73
| ~ spl2_231
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f7098]) ).
thf(f7140,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_73
| ~ spl2_111 ),
inference(constrained_superposition,[],[f3257,f2423]) ).
thf(f7142,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_108
| ~ spl2_111 ),
inference(constrained_superposition,[],[f3257,f3228]) ).
thf(f7146,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_108
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f7142]) ).
thf(f7147,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_73
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f7140]) ).
thf(f7151,plain,
( $false
| ~ spl2_73
| ~ spl2_85
| ~ spl2_111 ),
inference(forward_subsumption_resolution,[],[f7147,f2506]) ).
thf(f7152,plain,
( ~ spl2_73
| ~ spl2_85
| ~ spl2_111 ),
inference(avatar_contradiction_clause,[],[f7151]) ).
thf(f7154,plain,
( $false
| ~ spl2_31
| ~ spl2_194
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f323,f7091]) ).
thf(f7155,plain,
( ~ spl2_31
| ~ spl2_194
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f7154]) ).
thf(f7195,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f5710,f233]) ).
thf(f7199,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f5710,f50]) ).
thf(f7206,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f7195]) ).
thf(f7209,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f7199]) ).
thf(f7234,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f5704,f233]) ).
thf(f7242,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f7234]) ).
thf(f7249,plain,
( ~ spl2_22
| spl2_104
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f7242,f5703,f3099,f276]) ).
thf(f7288,definition,
( spl2_279
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).
thf(f7289,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_279 ),
inference(avatar_component_clause,[],[f7288]) ).
thf(f7299,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_148
| ~ spl2_193 ),
inference(constrained_superposition,[],[f5710,f4294]) ).
thf(f7306,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_148
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f7299]) ).
thf(f7320,plain,
( ~ spl2_116
| ~ spl2_148
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f7306,f5709,f4293,f3541]) ).
thf(f7340,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f268,f2437]) ).
thf(f7359,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f7340]) ).
thf(f7366,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_73
| ~ spl2_77
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f7359,f7096]) ).
thf(f7368,plain,
( spl2_120
| ~ spl2_117
| ~ spl2_73
| ~ spl2_77
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f7366,f6125,f2436,f2422,f3544,f3556]) ).
thf(f7380,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_78
| ~ spl2_111 ),
inference(constrained_superposition,[],[f3257,f2441]) ).
thf(f7386,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_78
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f7380]) ).
thf(f7390,plain,
( $false
| ~ spl2_78
| ~ spl2_111
| ~ spl2_124 ),
inference(forward_subsumption_resolution,[],[f7386,f3627]) ).
thf(f7391,plain,
( ~ spl2_78
| ~ spl2_111
| ~ spl2_124 ),
inference(avatar_contradiction_clause,[],[f7390]) ).
thf(f7394,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f268,f2444]) ).
thf(f7407,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f7394]) ).
thf(f7419,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_79
| ~ spl2_134
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f7407,f7092]) ).
thf(f7422,plain,
( ~ spl2_81
| spl2_93
| ~ spl2_79
| ~ spl2_134
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f7419,f6125,f3928,f2443,f2532,f2489]) ).
thf(f7424,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_183 ),
inference(constrained_superposition,[],[f5490,f83]) ).
thf(f7428,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_183 ),
inference(trivial_inequality_removal,[],[f7424]) ).
thf(f7432,definition,
( spl2_280
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_280])],[avatar_definition]) ).
thf(f7433,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_280 ),
inference(avatar_component_clause,[],[f7432]) ).
thf(f7435,plain,
( spl2_280
| spl2_92
| spl2_183 ),
inference(avatar_split_clause,[],[f7428,f5489,f2528,f7432]) ).
thf(f7442,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_79
| ~ spl2_93 ),
inference(constrained_superposition,[],[f2533,f2444]) ).
thf(f7447,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f2533,f50]) ).
thf(f7453,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f7447]) ).
thf(f7457,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f7442]) ).
thf(f7458,plain,
( ~ spl2_117
| ~ spl2_79
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f7457,f2532,f2443,f3544]) ).
thf(f7480,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_76
| ~ spl2_128 ),
inference(constrained_superposition,[],[f3679,f2434]) ).
thf(f7482,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_124
| ~ spl2_128 ),
inference(constrained_superposition,[],[f3679,f3627]) ).
thf(f7490,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_124
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f7482]) ).
thf(f7491,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_76
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f7480]) ).
thf(f7492,plain,
( $false
| ~ spl2_76
| ~ spl2_108
| ~ spl2_128 ),
inference(forward_subsumption_resolution,[],[f7491,f3228]) ).
thf(f7493,plain,
( ~ spl2_76
| ~ spl2_108
| ~ spl2_128 ),
inference(avatar_contradiction_clause,[],[f7492]) ).
thf(f7523,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_73
| ~ spl2_236 ),
inference(constrained_superposition,[],[f5899,f2423]) ).
thf(f7530,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_73
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f7523]) ).
thf(f7532,plain,
( $false
| ~ spl2_73
| ~ spl2_80
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f7530,f2487]) ).
thf(f7533,plain,
( ~ spl2_73
| ~ spl2_80
| ~ spl2_236 ),
inference(avatar_contradiction_clause,[],[f7532]) ).
thf(f7544,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_252 ),
inference(constrained_superposition,[],[f5986,f233]) ).
thf(f7556,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f7544]) ).
thf(f7566,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_144 ),
inference(constrained_superposition,[],[f3257,f4278]) ).
thf(f7573,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f7566]) ).
thf(f7591,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_279 ),
inference(constrained_superposition,[],[f82,f7289]) ).
thf(f7646,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_9
| ~ spl2_279 ),
inference(forward_subsumption_resolution,[],[f7591,f145]) ).
thf(f7659,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_49 ),
inference(avatar_component_clause,[],[f1537]) ).
thf(f7661,definition,
( spl2_283
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_283])],[avatar_definition]) ).
thf(f7662,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_283 ),
inference(avatar_component_clause,[],[f7661]) ).
thf(f7664,plain,
( ~ spl2_49
| ~ spl2_108
| ~ spl2_111 ),
inference(avatar_split_clause,[],[f7146,f3256,f3227,f1537]) ).
thf(f7666,plain,
( ~ spl2_49
| ~ spl2_124
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f7490,f3678,f3626,f1537]) ).
thf(f7668,plain,
( ~ spl2_49
| ~ spl2_194
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f6783,f6498,f5715,f1537]) ).
thf(f7670,plain,
( spl2_49
| spl2_9
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f7646,f7288,f144,f1537]) ).
thf(f7672,plain,
( ( $true != $true )
| ~ spl2_34
| ~ spl2_134
| ~ spl2_257 ),
inference(constrained_superposition,[],[f7092,f380]) ).
thf(f7673,plain,
( ( $true != $true )
| ~ spl2_34
| ~ spl2_73
| ~ spl2_257 ),
inference(constrained_superposition,[],[f7096,f380]) ).
thf(f7682,plain,
( $false
| ~ spl2_34
| ~ spl2_73
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f7673]) ).
thf(f7683,plain,
( ~ spl2_34
| ~ spl2_73
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f7682]) ).
thf(f7689,plain,
( $false
| ~ spl2_34
| ~ spl2_134
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f7672]) ).
thf(f7690,plain,
( ~ spl2_34
| ~ spl2_134
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f7689]) ).
thf(f7716,definition,
( spl2_284
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_284])],[avatar_definition]) ).
thf(f7717,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_284 ),
inference(avatar_component_clause,[],[f7716]) ).
thf(f7886,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_92 ),
inference(avatar_component_clause,[],[f2528]) ).
thf(f7889,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_103 ),
inference(avatar_component_clause,[],[f3096]) ).
thf(f7948,definition,
( spl2_287
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).
thf(f7949,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_287 ),
inference(avatar_component_clause,[],[f7948]) ).
thf(f7951,definition,
( spl2_288
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_288])],[avatar_definition]) ).
thf(f7952,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_288 ),
inference(avatar_component_clause,[],[f7951]) ).
thf(f7954,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f5489]) ).
thf(f7957,definition,
( spl2_289
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_289])],[avatar_definition]) ).
thf(f7958,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_289 ),
inference(avatar_component_clause,[],[f7957]) ).
thf(f7960,definition,
( spl2_290
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_290])],[avatar_definition]) ).
thf(f7961,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_290 ),
inference(avatar_component_clause,[],[f7960]) ).
thf(f7964,definition,
( spl2_291
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_291])],[avatar_definition]) ).
thf(f7965,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_291 ),
inference(avatar_component_clause,[],[f7964]) ).
thf(f7967,definition,
( spl2_292
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).
thf(f7968,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_292 ),
inference(avatar_component_clause,[],[f7967]) ).
thf(f7985,definition,
( spl2_293
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_293])],[avatar_definition]) ).
thf(f7986,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_293 ),
inference(avatar_component_clause,[],[f7985]) ).
thf(f7988,definition,
( spl2_294
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_294])],[avatar_definition]) ).
thf(f7989,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_294 ),
inference(avatar_component_clause,[],[f7988]) ).
thf(f7992,definition,
( spl2_295
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_295])],[avatar_definition]) ).
thf(f7993,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_295 ),
inference(avatar_component_clause,[],[f7992]) ).
thf(f7995,definition,
( spl2_296
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_296])],[avatar_definition]) ).
thf(f7996,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_296 ),
inference(avatar_component_clause,[],[f7995]) ).
thf(f8022,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_183
| ~ spl2_184 ),
inference(constrained_superposition,[],[f5494,f7954]) ).
thf(f8044,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_183
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f8022]) ).
thf(f8059,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_230 ),
inference(constrained_superposition,[],[f5865,f50]) ).
thf(f8061,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_230 ),
inference(trivial_inequality_removal,[],[f8059]) ).
thf(f8063,plain,
( spl2_211
| spl2_230 ),
inference(avatar_split_clause,[],[f8061,f5864,f5781]) ).
thf(f8070,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_183
| ~ spl2_184 ),
inference(constrained_superposition,[],[f8044,f51]) ).
thf(f8073,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_183
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f8070]) ).
thf(f8075,plain,
( spl2_176
| ~ spl2_183
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f8073,f5493,f5489,f5359]) ).
thf(f8089,definition,
( spl2_301
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_301])],[avatar_definition]) ).
thf(f8090,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_301 ),
inference(avatar_component_clause,[],[f8089]) ).
thf(f8101,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_193
| ~ spl2_289 ),
inference(constrained_superposition,[],[f5710,f7958]) ).
thf(f8109,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_193
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f8101]) ).
thf(f8121,plain,
( ~ spl2_189
| ~ spl2_193
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f8109,f7957,f5709,f5692]) ).
thf(f8124,definition,
( spl2_302
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).
thf(f8125,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_302 ),
inference(avatar_component_clause,[],[f8124]) ).
thf(f8131,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_189 ),
inference(constrained_superposition,[],[f5693,f82]) ).
thf(f8133,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_189 ),
inference(constrained_superposition,[],[f5693,f25]) ).
thf(f8134,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_189 ),
inference(trivial_inequality_removal,[],[f8131]) ).
thf(f8136,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_189 ),
inference(trivial_inequality_removal,[],[f8133]) ).
thf(f8140,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_111
| ~ spl2_144
| spl2_189 ),
inference(forward_subsumption_resolution,[],[f8136,f7573]) ).
thf(f8143,plain,
( spl2_279
| ~ spl2_111
| ~ spl2_144
| spl2_189 ),
inference(avatar_split_clause,[],[f8140,f5692,f4277,f3256,f7288]) ).
thf(f8144,plain,
( spl2_160
| spl2_189 ),
inference(avatar_split_clause,[],[f8134,f5692,f4999]) ).
thf(f8146,definition,
( spl2_304
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_304])],[avatar_definition]) ).
thf(f8147,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_304 ),
inference(avatar_component_clause,[],[f8146]) ).
thf(f8149,plain,
( spl2_279
| spl2_160
| spl2_189 ),
inference(avatar_split_clause,[],[f8136,f5692,f4999,f7288]) ).
thf(f8167,definition,
( spl2_305
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_305])],[avatar_definition]) ).
thf(f8168,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_305 ),
inference(avatar_component_clause,[],[f8167]) ).
thf(f8183,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_257
| ~ spl2_280 ),
inference(constrained_superposition,[],[f6126,f7433]) ).
thf(f8192,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_257
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f8183]) ).
thf(f8197,definition,
( spl2_306
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_306])],[avatar_definition]) ).
thf(f8198,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f8197]) ).
thf(f8240,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_108 ),
inference(constrained_superposition,[],[f2568,f3228]) ).
thf(f8244,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f8240]) ).
thf(f8248,plain,
( $false
| ~ spl2_94
| ~ spl2_108
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f8244,f5716]) ).
thf(f8249,plain,
( ~ spl2_94
| ~ spl2_108
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f8248]) ).
thf(f8250,plain,
( spl2_80
| ~ spl2_22
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f7206,f5709,f276,f2486]) ).
thf(f8254,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_16 ),
inference(avatar_component_clause,[],[f200]) ).
thf(f8257,plain,
( spl2_16
| spl2_4 ),
inference(avatar_split_clause,[],[f6720,f98,f200]) ).
thf(f8280,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_22 ),
inference(constrained_superposition,[],[f277,f25]) ).
thf(f8283,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_22 ),
inference(trivial_inequality_removal,[],[f8280]) ).
thf(f8285,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_22
| spl2_30 ),
inference(forward_subsumption_resolution,[],[f8283,f2316]) ).
thf(f8286,plain,
( spl2_31
| spl2_22
| spl2_30 ),
inference(avatar_split_clause,[],[f8285,f319,f276,f322]) ).
thf(f8296,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_129 ),
inference(constrained_superposition,[],[f3758,f51]) ).
thf(f8297,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_129 ),
inference(constrained_superposition,[],[f3758,f25]) ).
thf(f8298,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_129 ),
inference(trivial_inequality_removal,[],[f8297]) ).
thf(f8299,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_129 ),
inference(trivial_inequality_removal,[],[f8296]) ).
thf(f8300,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| spl2_129 ),
inference(forward_subsumption_resolution,[],[f8298,f310]) ).
thf(f8303,plain,
( $false
| ~ spl2_29
| spl2_129 ),
inference(forward_subsumption_resolution,[],[f8300,f41]) ).
thf(f8304,plain,
( ~ spl2_29
| spl2_129 ),
inference(avatar_contradiction_clause,[],[f8303]) ).
thf(f8306,plain,
( spl2_219
| spl2_129 ),
inference(avatar_split_clause,[],[f8299,f3757,f5815]) ).
thf(f8322,plain,
( ~ spl2_12
| spl2_200
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f7209,f5709,f5738,f154]) ).
thf(f8334,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_24 ),
inference(constrained_superposition,[],[f284,f50]) ).
thf(f8336,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_24 ),
inference(trivial_inequality_removal,[],[f8334]) ).
thf(f8338,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_200
| ~ spl2_238 ),
inference(constrained_superposition,[],[f5907,f5739]) ).
thf(f8342,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_200
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f8338]) ).
thf(f8355,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_130
| ~ spl2_261 ),
inference(constrained_superposition,[],[f6309,f3761]) ).
thf(f8356,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_7
| ~ spl2_130 ),
inference(constrained_superposition,[],[f116,f3761]) ).
thf(f8358,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_130
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f8355]) ).
thf(f8360,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_7
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f8356]) ).
thf(f8361,plain,
( $false
| ~ spl2_130
| ~ spl2_196
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f8358,f5725]) ).
thf(f8362,plain,
( ~ spl2_130
| ~ spl2_196
| ~ spl2_261 ),
inference(avatar_contradiction_clause,[],[f8361]) ).
thf(f8365,plain,
( spl2_198
| ~ spl2_36
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f7453,f2532,f386,f5731]) ).
thf(f8367,definition,
( spl2_312
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_312])],[avatar_definition]) ).
thf(f8368,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_312 ),
inference(avatar_component_clause,[],[f8367]) ).
thf(f8371,plain,
( spl2_198
| spl2_205 ),
inference(avatar_split_clause,[],[f6116,f5758,f5731]) ).
thf(f8386,plain,
( ( $true != $true )
| ~ spl2_7
| ~ spl2_108
| ~ spl2_130 ),
inference(constrained_superposition,[],[f8360,f3228]) ).
thf(f8390,plain,
( $false
| ~ spl2_7
| ~ spl2_108
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f8386]) ).
thf(f8391,plain,
( ~ spl2_7
| ~ spl2_108
| ~ spl2_130 ),
inference(avatar_contradiction_clause,[],[f8390]) ).
thf(f8396,plain,
( $false
| ~ spl2_7
| ~ spl2_78
| ~ spl2_130 ),
inference(forward_subsumption_resolution,[],[f2441,f8360]) ).
thf(f8397,plain,
( ~ spl2_7
| ~ spl2_78
| ~ spl2_130 ),
inference(avatar_contradiction_clause,[],[f8396]) ).
thf(f8415,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f198,f2516]) ).
thf(f8418,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f65,f2516]) ).
thf(f8419,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f63,f2516]) ).
thf(f8425,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f31,f2516]) ).
thf(f8427,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f8419]) ).
thf(f8428,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f8415]) ).
thf(f8435,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f8418]) ).
thf(f8436,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f8425]) ).
thf(f8447,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_74
| ~ spl2_214 ),
inference(constrained_superposition,[],[f5796,f2427]) ).
thf(f8457,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_74
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f8447]) ).
thf(f8467,plain,
( ~ spl2_205
| ~ spl2_74
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f8457,f5795,f2426,f5758]) ).
thf(f8545,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_220
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f6791,f41]) ).
thf(f8549,plain,
( $false
| ~ spl2_7
| ~ spl2_130
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f5732,f8360]) ).
thf(f8550,plain,
( ~ spl2_7
| ~ spl2_130
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f8549]) ).
thf(f8551,plain,
( spl2_196
| spl2_24 ),
inference(avatar_split_clause,[],[f8336,f283,f5724]) ).
thf(f8557,plain,
( spl2_190
| spl2_31
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f8428,f2515,f322,f5696]) ).
thf(f8558,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_200
| ~ spl2_220
| ~ spl2_238
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f8545,f8342]) ).
thf(f8561,plain,
( spl2_196
| spl2_16
| ~ spl2_200
| ~ spl2_220
| ~ spl2_238
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f8558,f6498,f5906,f5818,f5738,f200,f5724]) ).
thf(f8601,definition,
( spl2_316
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_316])],[avatar_definition]) ).
thf(f8602,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_316 ),
inference(avatar_component_clause,[],[f8601]) ).
thf(f8605,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_121 ),
inference(constrained_superposition,[],[f304,f3569]) ).
thf(f8611,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f8605]) ).
thf(f8615,plain,
( $false
| ~ spl2_27
| ~ spl2_121
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f8611,f5687]) ).
thf(f8616,plain,
( ~ spl2_27
| ~ spl2_121
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f8615]) ).
thf(f8617,plain,
( spl2_121
| ~ spl2_22
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f7556,f5985,f276,f3568]) ).
thf(f8758,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_100
| ~ spl2_290 ),
inference(constrained_superposition,[],[f3048,f7961]) ).
thf(f8759,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_238
| ~ spl2_290 ),
inference(constrained_superposition,[],[f5907,f7961]) ).
thf(f8763,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_238
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f8759]) ).
thf(f8767,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_100
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f8758]) ).
thf(f8768,plain,
( $false
| ~ spl2_162
| ~ spl2_238
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f8763,f5007]) ).
thf(f8769,plain,
( ~ spl2_162
| ~ spl2_238
| ~ spl2_290 ),
inference(avatar_contradiction_clause,[],[f8768]) ).
thf(f8772,plain,
( $false
| ~ spl2_100
| ~ spl2_160
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f8767,f5000]) ).
thf(f8773,plain,
( ~ spl2_100
| ~ spl2_160
| ~ spl2_290 ),
inference(avatar_contradiction_clause,[],[f8772]) ).
thf(f8775,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f268,f7958]) ).
thf(f8797,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f8775]) ).
thf(f8801,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_88
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f8797,f2516]) ).
thf(f8802,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_88
| ~ spl2_257
| ~ spl2_280
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f8801,f8192]) ).
thf(f8803,plain,
( spl2_110
| ~ spl2_88
| ~ spl2_257
| ~ spl2_280
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f8802,f7957,f7432,f6125,f2515,f3241]) ).
thf(f8831,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_246
| ~ spl2_316 ),
inference(constrained_superposition,[],[f8602,f5956]) ).
thf(f8837,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_246
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f8831]) ).
thf(f8841,plain,
( $false
| ~ spl2_7
| ~ spl2_130
| ~ spl2_144 ),
inference(forward_subsumption_resolution,[],[f4278,f8360]) ).
thf(f8842,plain,
( ~ spl2_7
| ~ spl2_130
| ~ spl2_144 ),
inference(avatar_contradiction_clause,[],[f8841]) ).
thf(f8931,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_160
| ~ spl2_166 ),
inference(constrained_superposition,[],[f5075,f5000]) ).
thf(f8939,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_160
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f8931]) ).
thf(f8942,plain,
( spl2_47
| ~ spl2_160
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f8939,f5074,f4999,f595]) ).
thf(f8987,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_106
| ~ spl2_130 ),
inference(constrained_superposition,[],[f3178,f3761]) ).
thf(f8994,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_106
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f8987]) ).
thf(f8999,plain,
( $false
| ~ spl2_106
| ~ spl2_130
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f8994,f5739]) ).
thf(f9000,plain,
( ~ spl2_106
| ~ spl2_130
| ~ spl2_200 ),
inference(avatar_contradiction_clause,[],[f8999]) ).
thf(f9006,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_124
| ~ spl2_245 ),
inference(constrained_superposition,[],[f5952,f3627]) ).
thf(f9010,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f9006]) ).
thf(f9073,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_150
| ~ spl2_269 ),
inference(constrained_superposition,[],[f6650,f4316]) ).
thf(f9074,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_150
| ~ spl2_316 ),
inference(constrained_superposition,[],[f8602,f4316]) ).
thf(f9080,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_150
| ~ spl2_269 ),
inference(trivial_inequality_removal,[],[f9073]) ).
thf(f9084,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_150
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f9074]) ).
thf(f9086,plain,
( $false
| ~ spl2_150
| ~ spl2_254
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f9080,f6035]) ).
thf(f9087,plain,
( ~ spl2_150
| ~ spl2_254
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f9086]) ).
thf(f9091,plain,
( $false
| ~ spl2_150
| ~ spl2_191
| ~ spl2_316 ),
inference(forward_subsumption_resolution,[],[f9084,f5701]) ).
thf(f9092,plain,
( ~ spl2_150
| ~ spl2_191
| ~ spl2_316 ),
inference(avatar_contradiction_clause,[],[f9091]) ).
thf(f9201,definition,
( spl2_323
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_323])],[avatar_definition]) ).
thf(f9202,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_323 ),
inference(avatar_component_clause,[],[f9201]) ).
thf(f9204,definition,
( spl2_324
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_324])],[avatar_definition]) ).
thf(f9205,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_324 ),
inference(avatar_component_clause,[],[f9204]) ).
thf(f9208,definition,
( spl2_325
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_325])],[avatar_definition]) ).
thf(f9209,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_325 ),
inference(avatar_component_clause,[],[f9208]) ).
thf(f9215,definition,
( spl2_327
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_327])],[avatar_definition]) ).
thf(f9216,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_327 ),
inference(avatar_component_clause,[],[f9215]) ).
thf(f9220,definition,
( spl2_328
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_328])],[avatar_definition]) ).
thf(f9221,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_328 ),
inference(avatar_component_clause,[],[f9220]) ).
thf(f9224,definition,
( spl2_329
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_329])],[avatar_definition]) ).
thf(f9225,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_329 ),
inference(avatar_component_clause,[],[f9224]) ).
thf(f9263,definition,
( spl2_335
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_335])],[avatar_definition]) ).
thf(f9264,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_335 ),
inference(avatar_component_clause,[],[f9263]) ).
thf(f9320,definition,
( spl2_337
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_337])],[avatar_definition]) ).
thf(f9321,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_337 ),
inference(avatar_component_clause,[],[f9320]) ).
thf(f9335,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_337 ),
inference(constrained_superposition,[],[f9321,f82]) ).
thf(f9338,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_337 ),
inference(trivial_inequality_removal,[],[f9335]) ).
thf(f9341,plain,
( spl2_329
| spl2_337 ),
inference(avatar_split_clause,[],[f9338,f9320,f9224]) ).
thf(f9371,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_124
| ~ spl2_136 ),
inference(constrained_superposition,[],[f3960,f3627]) ).
thf(f9376,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_124
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f9371]) ).
thf(f9381,plain,
( $false
| ~ spl2_124
| ~ spl2_136
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f9376,f5716]) ).
thf(f9382,plain,
( ~ spl2_124
| ~ spl2_136
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f9381]) ).
thf(f9385,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_156
| ~ spl2_187 ),
inference(constrained_superposition,[],[f4741,f5687]) ).
thf(f9392,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_156
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f9385]) ).
thf(f9394,plain,
( $false
| ~ spl2_85
| ~ spl2_156
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f9392,f2506]) ).
thf(f9395,plain,
( ~ spl2_85
| ~ spl2_156
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f9394]) ).
thf(f9440,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_145 ),
inference(constrained_superposition,[],[f589,f4282]) ).
thf(f9441,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_76 ),
inference(constrained_superposition,[],[f589,f2434]) ).
thf(f9455,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_45
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f9440]) ).
thf(f9461,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f9441]) ).
thf(f9514,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_72
| ~ spl2_218 ),
inference(constrained_superposition,[],[f5812,f2420]) ).
thf(f9524,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_72
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f9514]) ).
thf(f9528,plain,
( ~ spl2_81
| ~ spl2_205
| ~ spl2_72
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f9524,f5811,f2419,f5758,f2489]) ).
thf(f9545,definition,
( spl2_342
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_342])],[avatar_definition]) ).
thf(f9546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_342 ),
inference(avatar_component_clause,[],[f9545]) ).
thf(f9561,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116
| ~ spl2_122 ),
inference(constrained_superposition,[],[f3542,f3572]) ).
thf(f9585,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_122
| ~ spl2_289 ),
inference(constrained_superposition,[],[f7958,f3572]) ).
thf(f9597,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f233,f3572]) ).
thf(f9664,plain,
( $false
| ~ spl2_122
| spl2_131
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f9585,f3765]) ).
thf(f9665,plain,
( ~ spl2_122
| spl2_131
| ~ spl2_289 ),
inference(avatar_contradiction_clause,[],[f9664]) ).
thf(f9673,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_32
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f9597,f374]) ).
thf(f9687,plain,
( ~ spl2_22
| spl2_116
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f9561,f3571,f3541,f276]) ).
thf(f9691,plain,
( $false
| spl2_32
| ~ spl2_122
| ~ spl2_220
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f9673,f7094]) ).
thf(f9692,plain,
( spl2_32
| ~ spl2_122
| ~ spl2_220
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f9691]) ).
thf(f9739,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) )
| ~ spl2_293 ),
inference(constrained_superposition,[],[f58,f7986]) ).
thf(f9752,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) )
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f9739]) ).
thf(f9857,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_115
| ~ spl2_124 ),
inference(constrained_superposition,[],[f3491,f3627]) ).
thf(f9859,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_115
| ~ spl2_201 ),
inference(constrained_superposition,[],[f3491,f5744]) ).
thf(f9864,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_115
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f9859]) ).
thf(f9866,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_115
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f9857]) ).
thf(f9868,plain,
( $false
| ~ spl2_115
| ~ spl2_130
| ~ spl2_201 ),
inference(forward_subsumption_resolution,[],[f9864,f3761]) ).
thf(f9869,plain,
( ~ spl2_115
| ~ spl2_130
| ~ spl2_201 ),
inference(avatar_contradiction_clause,[],[f9868]) ).
thf(f9870,plain,
( $false
| ~ spl2_115
| ~ spl2_124
| ~ spl2_267 ),
inference(forward_subsumption_resolution,[],[f9866,f6612]) ).
thf(f9871,plain,
( ~ spl2_115
| ~ spl2_124
| ~ spl2_267 ),
inference(avatar_contradiction_clause,[],[f9870]) ).
thf(f9898,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_160
| ~ spl2_306 ),
inference(constrained_superposition,[],[f8198,f5000]) ).
thf(f9903,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_160
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f9898]) ).
thf(f9908,plain,
( $false
| ~ spl2_160
| ~ spl2_194
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f9903,f5716]) ).
thf(f9909,plain,
( ~ spl2_160
| ~ spl2_194
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f9908]) ).
thf(f9917,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_72
| ~ spl2_190 ),
inference(constrained_superposition,[],[f5697,f2420]) ).
thf(f9920,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f5697,f51]) ).
thf(f9924,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f9920]) ).
thf(f9927,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_72
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f9917]) ).
thf(f9932,plain,
( spl2_219
| ~ spl2_12
| ~ spl2_36
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f9924,f5696,f386,f154,f5815]) ).
thf(f9933,plain,
( ~ spl2_84
| ~ spl2_81
| ~ spl2_72
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f9927,f5696,f2419,f2489,f2501]) ).
thf(f9936,plain,
( ( $true != $true )
| ~ spl2_29
| ~ spl2_130 ),
inference(constrained_superposition,[],[f310,f3761]) ).
thf(f9939,plain,
( $false
| ~ spl2_29
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f9936]) ).
thf(f9940,plain,
( ~ spl2_29
| ~ spl2_130 ),
inference(avatar_contradiction_clause,[],[f9939]) ).
thf(f9964,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_42 ),
inference(constrained_superposition,[],[f304,f469]) ).
thf(f9970,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f9964]) ).
thf(f9973,plain,
( $false
| ~ spl2_42
| ~ spl2_124
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f9010,f469]) ).
thf(f9974,plain,
( ~ spl2_42
| ~ spl2_124
| ~ spl2_245 ),
inference(avatar_contradiction_clause,[],[f9973]) ).
thf(f9981,plain,
( $false
| ~ spl2_42
| ~ spl2_246
| ~ spl2_316 ),
inference(forward_subsumption_resolution,[],[f8837,f469]) ).
thf(f9982,plain,
( ~ spl2_42
| ~ spl2_246
| ~ spl2_316 ),
inference(avatar_contradiction_clause,[],[f9981]) ).
thf(f9997,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_246
| ~ spl2_262 ),
inference(constrained_superposition,[],[f6349,f5956]) ).
thf(f10010,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_246
| ~ spl2_262 ),
inference(trivial_inequality_removal,[],[f9997]) ).
thf(f10016,plain,
( $false
| ~ spl2_124
| ~ spl2_246
| ~ spl2_262 ),
inference(forward_subsumption_resolution,[],[f10010,f3627]) ).
thf(f10017,plain,
( ~ spl2_124
| ~ spl2_246
| ~ spl2_262 ),
inference(avatar_contradiction_clause,[],[f10016]) ).
thf(f10019,plain,
( ~ spl2_49
| ~ spl2_27
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f9970,f468,f303,f1537]) ).
thf(f10140,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f144]) ).
thf(f10181,definition,
( spl2_353
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
thf(f10182,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_353 ),
inference(avatar_component_clause,[],[f10181]) ).
thf(f10184,definition,
( spl2_354
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_354])],[avatar_definition]) ).
thf(f10185,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_354 ),
inference(avatar_component_clause,[],[f10184]) ).
thf(f10189,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_108 ),
inference(avatar_component_clause,[],[f3227]) ).
thf(f10190,plain,
( spl2_211
| ~ spl2_108
| ~ spl2_45
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f9455,f4281,f588,f3227,f5781]) ).
thf(f10214,definition,
( spl2_359
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_359])],[avatar_definition]) ).
thf(f10215,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_359 ),
inference(avatar_component_clause,[],[f10214]) ).
thf(f10216,plain,
( spl2_324
| spl2_359
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f9752,f7985,f10214,f9204]) ).
thf(f10234,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f596,f1753]) ).
thf(f10237,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f10234]) ).
thf(f10238,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_47 ),
inference(forward_subsumption_resolution,[],[f10237,f596]) ).
thf(f10247,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f83,f4240]) ).
thf(f10263,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f31,f10140]) ).
thf(f10265,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9 ),
inference(duplicate_literal_removal,[],[f10263]) ).
thf(f10266,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f10265]) ).
thf(f10277,plain,
( spl2_283
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f10266,f144,f7661]) ).
thf(f10302,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_103
| ~ spl2_132 ),
inference(constrained_superposition,[],[f4287,f3097]) ).
thf(f10318,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_103 ),
inference(constrained_superposition,[],[f233,f3097]) ).
thf(f10378,plain,
( $false
| ~ spl2_103
| spl2_131
| ~ spl2_132 ),
inference(forward_subsumption_resolution,[],[f10302,f3765]) ).
thf(f10379,plain,
( ~ spl2_103
| spl2_131
| ~ spl2_132 ),
inference(avatar_contradiction_clause,[],[f10378]) ).
thf(f10383,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_103
| ~ spl2_220
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f10318,f7094]) ).
thf(f10388,plain,
( $false
| spl2_32
| ~ spl2_103
| ~ spl2_220
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f10383,f374]) ).
thf(f10389,plain,
( spl2_32
| ~ spl2_103
| ~ spl2_220
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f10388]) ).
thf(f10421,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_139
| ~ spl2_269 ),
inference(constrained_superposition,[],[f6650,f3996]) ).
thf(f10422,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_139 ),
inference(constrained_superposition,[],[f116,f3996]) ).
thf(f10425,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_139
| ~ spl2_269 ),
inference(trivial_inequality_removal,[],[f10421]) ).
thf(f10426,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_7
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f10422]) ).
thf(f10427,plain,
( $false
| ~ spl2_139
| ~ spl2_196
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f10425,f5725]) ).
thf(f10428,plain,
( ~ spl2_139
| ~ spl2_196
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f10427]) ).
thf(f10435,plain,
( spl2_201
| ~ spl2_108
| ~ spl2_45
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f9461,f2433,f588,f3227,f5743]) ).
thf(f10438,plain,
( ( $true != $true )
| ~ spl2_7
| ~ spl2_76
| ~ spl2_139 ),
inference(constrained_superposition,[],[f10426,f2434]) ).
thf(f10440,plain,
( $false
| ~ spl2_7
| ~ spl2_76
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f10438]) ).
thf(f10441,plain,
( ~ spl2_7
| ~ spl2_76
| ~ spl2_139 ),
inference(avatar_contradiction_clause,[],[f10440]) ).
thf(f10469,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(constrained_superposition,[],[f3542,f52]) ).
thf(f10472,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f10469]) ).
thf(f10476,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(forward_subsumption_resolution,[],[f10472,f41]) ).
thf(f10478,plain,
( $false
| ~ spl2_7
| spl2_116
| ~ spl2_139 ),
inference(forward_subsumption_resolution,[],[f10476,f10426]) ).
thf(f10479,plain,
( ~ spl2_7
| spl2_116
| ~ spl2_139 ),
inference(avatar_contradiction_clause,[],[f10478]) ).
thf(f10482,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_7
| spl2_87
| ~ spl2_139 ),
inference(forward_subsumption_resolution,[],[f10247,f10426]) ).
thf(f10486,plain,
( spl2_132
| ~ spl2_7
| spl2_87
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f10482,f3995,f2512,f115,f3768]) ).
thf(f10501,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_104 ),
inference(constrained_superposition,[],[f2568,f3100]) ).
thf(f10506,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f10501]) ).
thf(f10512,plain,
( $false
| ~ spl2_94
| ~ spl2_104
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f10506,f5819]) ).
thf(f10513,plain,
( ~ spl2_94
| ~ spl2_104
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f10512]) ).
thf(f10522,plain,
( spl2_130
| ~ spl2_202
| spl2_198
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f6601,f2426,f5731,f5746,f3760]) ).
thf(f10525,plain,
( spl2_28
| ~ spl2_202
| spl2_214
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f8427,f2515,f5795,f5746,f306]) ).
thf(f10555,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f5494,f81]) ).
thf(f10565,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f10555]) ).
thf(f10571,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_214 ),
inference(constrained_superposition,[],[f5796,f82]) ).
thf(f10577,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f10571]) ).
thf(f10641,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_134
| ~ spl2_257 ),
inference(constrained_superposition,[],[f6126,f3929]) ).
thf(f10642,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_134 ),
inference(constrained_superposition,[],[f589,f3929]) ).
thf(f10646,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f10642]) ).
thf(f10647,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f10641]) ).
thf(f10651,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_45
| ~ spl2_85
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f10646,f2506]) ).
thf(f10652,plain,
( $false
| ~ spl2_134
| ~ spl2_246
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f10647,f5956]) ).
thf(f10653,plain,
( ~ spl2_134
| ~ spl2_246
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f10652]) ).
thf(f10656,plain,
( spl2_201
| ~ spl2_45
| ~ spl2_85
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f10651,f3928,f2505,f588,f5743]) ).
thf(f10662,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_95
| ~ spl2_147 ),
inference(constrained_superposition,[],[f2571,f4291]) ).
thf(f10666,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_95
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f10662]) ).
thf(f10673,plain,
( ( $true != $true )
| ~ spl2_95
| ~ spl2_134
| ~ spl2_147 ),
inference(constrained_superposition,[],[f10666,f3929]) ).
thf(f10674,plain,
( ( $true != $true )
| ~ spl2_95
| ~ spl2_124
| ~ spl2_147 ),
inference(constrained_superposition,[],[f10666,f3627]) ).
thf(f10677,plain,
( $false
| ~ spl2_95
| ~ spl2_134
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f10673]) ).
thf(f10678,plain,
( ~ spl2_95
| ~ spl2_134
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f10677]) ).
thf(f10679,plain,
( $false
| ~ spl2_95
| ~ spl2_124
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f10674]) ).
thf(f10680,plain,
( ~ spl2_95
| ~ spl2_124
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f10679]) ).
thf(f10691,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_117 ),
inference(constrained_superposition,[],[f3545,f52]) ).
thf(f10695,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_117 ),
inference(trivial_inequality_removal,[],[f10691]) ).
thf(f10698,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_92
| spl2_117 ),
inference(forward_subsumption_resolution,[],[f10695,f7886]) ).
thf(f10700,plain,
( spl2_121
| spl2_92
| spl2_117 ),
inference(avatar_split_clause,[],[f10698,f3544,f2528,f3568]) ).
thf(f10719,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_148
| ~ spl2_214 ),
inference(constrained_superposition,[],[f5796,f4294]) ).
thf(f10728,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_148
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f10719]) ).
thf(f10739,plain,
( ~ spl2_199
| ~ spl2_148
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f10728,f5795,f4293,f5734]) ).
thf(f10748,plain,
( $false
| ~ spl2_47
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f9209,f596]) ).
thf(f10749,plain,
( ~ spl2_47
| ~ spl2_325 ),
inference(avatar_contradiction_clause,[],[f10748]) ).
thf(f10776,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) ) )
| ~ spl2_7
| ~ spl2_47 ),
inference(constrained_superposition,[],[f116,f10238]) ).
thf(f10781,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f10776]) ).
thf(f10885,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f65,f7958]) ).
thf(f10897,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f10885]) ).
thf(f10909,definition,
( spl2_364
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_364])],[avatar_definition]) ).
thf(f10910,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_364 ),
inference(avatar_component_clause,[],[f10909]) ).
thf(f10914,plain,
( spl2_211
| spl2_176
| ~ spl2_202
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f10897,f7957,f5746,f5359,f5781]) ).
thf(f10949,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_353 ),
inference(constrained_superposition,[],[f10182,f83]) ).
thf(f10954,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_353 ),
inference(trivial_inequality_removal,[],[f10949]) ).
thf(f10959,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_353 ),
inference(forward_subsumption_resolution,[],[f10954,f41]) ).
thf(f10964,plain,
( spl2_327
| spl2_353 ),
inference(avatar_split_clause,[],[f10959,f10181,f9215]) ).
thf(f10979,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_78
| ~ spl2_236 ),
inference(constrained_superposition,[],[f5899,f2441]) ).
thf(f10986,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f10979]) ).
thf(f10989,plain,
( $false
| ~ spl2_78
| ~ spl2_121
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f10986,f3569]) ).
thf(f10990,plain,
( ~ spl2_78
| ~ spl2_121
| ~ spl2_236 ),
inference(avatar_contradiction_clause,[],[f10989]) ).
thf(f11011,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_240 ),
inference(constrained_superposition,[],[f5918,f82]) ).
thf(f11018,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f11011]) ).
thf(f11024,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_252 ),
inference(constrained_superposition,[],[f5986,f2437]) ).
thf(f11034,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_77
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f11024]) ).
thf(f11042,plain,
( ~ spl2_84
| ~ spl2_77
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f11034,f5985,f2436,f2501]) ).
thf(f11052,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_261 ),
inference(constrained_superposition,[],[f6309,f2434]) ).
thf(f11062,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f11052]) ).
thf(f11064,plain,
( $false
| ~ spl2_76
| ~ spl2_246
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f11062,f5956]) ).
thf(f11065,plain,
( ~ spl2_76
| ~ spl2_246
| ~ spl2_261 ),
inference(avatar_contradiction_clause,[],[f11064]) ).
thf(f11258,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_146
| ~ spl2_188 ),
inference(constrained_superposition,[],[f5690,f4285]) ).
thf(f11266,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_146
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f11258]) ).
thf(f11274,plain,
( ~ spl2_84
| ~ spl2_146
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f11266,f5689,f4284,f2501]) ).
thf(f11347,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_79
| ~ spl2_192 ),
inference(constrained_superposition,[],[f5704,f2444]) ).
thf(f11358,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_79
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f11347]) ).
thf(f11374,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f65,f4313]) ).
thf(f11390,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f11374]) ).
thf(f11418,definition,
( spl2_367
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_367])],[avatar_definition]) ).
thf(f11419,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_367 ),
inference(avatar_component_clause,[],[f11418]) ).
thf(f11430,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_287 ),
inference(constrained_superposition,[],[f5704,f7949]) ).
thf(f11438,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f11430]) ).
thf(f11450,plain,
( ~ spl2_337
| ~ spl2_192
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f11438,f7948,f5703,f9320]) ).
thf(f11549,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_136
| ~ spl2_152 ),
inference(constrained_superposition,[],[f3960,f4323]) ).
thf(f11553,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_136
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f11549]) ).
thf(f11559,plain,
( $false
| ~ spl2_136
| ~ spl2_152
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f11553,f7433]) ).
thf(f11560,plain,
( ~ spl2_136
| ~ spl2_152
| ~ spl2_280 ),
inference(avatar_contradiction_clause,[],[f11559]) ).
thf(f11637,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_151 ),
inference(constrained_superposition,[],[f65,f4320]) ).
thf(f11646,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f11637]) ).
thf(f11934,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_7
| ~ spl2_47
| ~ spl2_85 ),
inference(constrained_superposition,[],[f10781,f2506]) ).
thf(f11951,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_47
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f11934]) ).
thf(f11957,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_7
| ~ spl2_47
| ~ spl2_85 ),
inference(forward_subsumption_resolution,[],[f11951,f41]) ).
thf(f11958,plain,
( spl2_200
| ~ spl2_7
| ~ spl2_47
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f11957,f2505,f595,f115,f5738]) ).
thf(f11961,plain,
( spl2_85
| ~ spl2_4
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f10577,f5795,f98,f2505]) ).
thf(f11969,plain,
( ~ spl2_12
| spl2_194
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f10565,f5493,f5715,f154]) ).
thf(f11985,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_85
| ~ spl2_95 ),
inference(constrained_superposition,[],[f2571,f2506]) ).
thf(f11992,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_85
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f11985]) ).
thf(f11995,plain,
( spl2_47
| ~ spl2_85
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f11992,f2570,f2505,f595]) ).
thf(f12010,plain,
( ~ spl2_116
| ~ spl2_79
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f11358,f5703,f2443,f3541]) ).
thf(f12011,plain,
( spl2_176
| spl2_211
| ~ spl2_199
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f11646,f4319,f5734,f5781,f5359]) ).
thf(f12015,plain,
( ~ spl2_4
| spl2_160
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f11018,f5917,f4999,f98]) ).
thf(f12021,plain,
( ~ spl2_230
| spl2_201
| spl2_139
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f11390,f4312,f3995,f5743,f5864]) ).
thf(f12061,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_84 ),
inference(constrained_superposition,[],[f2502,f25]) ).
thf(f12064,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_84 ),
inference(trivial_inequality_removal,[],[f12061]) ).
thf(f12066,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_84
| spl2_92 ),
inference(forward_subsumption_resolution,[],[f12064,f7886]) ).
thf(f12067,plain,
( spl2_108
| spl2_84
| spl2_92 ),
inference(avatar_split_clause,[],[f12066,f2528,f2501,f3227]) ).
thf(f12068,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_108
| ~ spl2_236 ),
inference(constrained_superposition,[],[f5899,f3228]) ).
thf(f12072,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_108
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f12068]) ).
thf(f12076,plain,
( $false
| ~ spl2_42
| ~ spl2_108
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f12072,f469]) ).
thf(f12077,plain,
( ~ spl2_42
| ~ spl2_108
| ~ spl2_236 ),
inference(avatar_contradiction_clause,[],[f12076]) ).
thf(f12097,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_139 ),
inference(constrained_superposition,[],[f116,f3996]) ).
thf(f12099,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_7
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f12097]) ).
thf(f12112,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_84
| ~ spl2_103 ),
inference(constrained_superposition,[],[f2502,f3097]) ).
thf(f12194,plain,
( ~ spl2_22
| spl2_84
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f12112,f3096,f2501,f276]) ).
thf(f12249,plain,
( $false
| ~ spl2_7
| ~ spl2_139
| ~ spl2_201 ),
inference(forward_subsumption_resolution,[],[f5744,f12099]) ).
thf(f12250,plain,
( ~ spl2_7
| ~ spl2_139
| ~ spl2_201 ),
inference(avatar_contradiction_clause,[],[f12249]) ).
thf(f12332,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_92 ),
inference(constrained_superposition,[],[f49,f2529]) ).
thf(f12369,definition,
( spl2_375
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_375])],[avatar_definition]) ).
thf(f12370,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_375 ),
inference(avatar_component_clause,[],[f12369]) ).
thf(f12406,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_92 ),
inference(equality_resolution,[],[f12332]) ).
thf(f12407,plain,
( $false
| ~ spl2_92 ),
inference(forward_subsumption_resolution,[],[f12406,f41]) ).
thf(f12408,plain,
~ spl2_92,
inference(avatar_contradiction_clause,[],[f12407]) ).
thf(f12409,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_92 ),
inference(extensionality_resolution,[],[f230,f7886]) ).
thf(f12410,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_92 ),
inference(extensionality_resolution,[],[f230,f7886]) ).
thf(f12411,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_92 ),
inference(extensionality_resolution,[],[f1753,f7886]) ).
thf(f12412,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_92 ),
inference(extensionality_resolution,[],[f1753,f7886]) ).
thf(f12417,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_92 ),
inference(extensionality_resolution,[],[f83,f7886]) ).
thf(f12418,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_92 ),
inference(extensionality_resolution,[],[f83,f7886]) ).
thf(f12423,plain,
( spl2_292
| spl2_291
| spl2_92 ),
inference(avatar_split_clause,[],[f12410,f2528,f7964,f7967]) ).
thf(f12424,plain,
( spl2_287
| spl2_288
| spl2_92 ),
inference(avatar_split_clause,[],[f12409,f2528,f7951,f7948]) ).
thf(f12425,plain,
( spl2_290
| spl2_289
| spl2_92 ),
inference(avatar_split_clause,[],[f12417,f2528,f7957,f7960]) ).
thf(f12495,plain,
( ( $true != $true )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_11 ),
inference(constrained_superposition,[],[f151,f10140]) ).
thf(f12499,plain,
( ( $true != $true )
| ~ spl2_9
| ~ spl2_11 ),
inference(duplicate_literal_removal,[],[f12495]) ).
thf(f12500,plain,
( $false
| ~ spl2_9
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f12499]) ).
thf(f12501,plain,
( ~ spl2_9
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f12500]) ).
thf(f12506,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_104 ),
inference(constrained_superposition,[],[f304,f3100]) ).
thf(f12510,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f12506]) ).
thf(f12514,plain,
( $false
| ~ spl2_27
| ~ spl2_104
| ~ spl2_267 ),
inference(forward_subsumption_resolution,[],[f12510,f6612]) ).
thf(f12515,plain,
( ~ spl2_27
| ~ spl2_104
| ~ spl2_267 ),
inference(avatar_contradiction_clause,[],[f12514]) ).
thf(f12551,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_75
| ~ spl2_95 ),
inference(constrained_superposition,[],[f2571,f2430]) ).
thf(f12558,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_75
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f12551]) ).
thf(f12562,plain,
( ( $true != $true )
| ~ spl2_73
| ~ spl2_75
| ~ spl2_95 ),
inference(constrained_superposition,[],[f12558,f2423]) ).
thf(f12564,plain,
( ( $true != $true )
| ~ spl2_75
| ~ spl2_95
| ~ spl2_198 ),
inference(constrained_superposition,[],[f12558,f5732]) ).
thf(f12566,plain,
( $false
| ~ spl2_75
| ~ spl2_95
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f12564]) ).
thf(f12567,plain,
( ~ spl2_75
| ~ spl2_95
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f12566]) ).
thf(f12569,plain,
( $false
| ~ spl2_73
| ~ spl2_75
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f12562]) ).
thf(f12570,plain,
( ~ spl2_73
| ~ spl2_75
| ~ spl2_95 ),
inference(avatar_contradiction_clause,[],[f12569]) ).
thf(f12571,plain,
( $false
| ~ spl2_75
| ~ spl2_95
| ~ spl2_108 ),
inference(forward_subsumption_resolution,[],[f3228,f12558]) ).
thf(f12572,plain,
( ~ spl2_75
| ~ spl2_95
| ~ spl2_108 ),
inference(avatar_contradiction_clause,[],[f12571]) ).
thf(f12580,plain,
( spl2_280
| spl2_183
| spl2_92 ),
inference(avatar_split_clause,[],[f12418,f2528,f5489,f7432]) ).
thf(f12628,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_96
| ~ spl2_201 ),
inference(constrained_superposition,[],[f5744,f2584]) ).
thf(f12630,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_96
| ~ spl2_220 ),
inference(constrained_superposition,[],[f5819,f2584]) ).
thf(f12691,plain,
( spl2_198
| ~ spl2_96
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f12628,f5743,f2583,f5731]) ).
thf(f12699,plain,
( spl2_375
| ~ spl2_96
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f12630,f5818,f2583,f12369]) ).
thf(f12708,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_96 ),
inference(extensionality_resolution,[],[f256,f4214]) ).
thf(f12714,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_96 ),
inference(extensionality_resolution,[],[f52,f4214]) ).
thf(f12806,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_73
| ~ spl2_105 ),
inference(constrained_superposition,[],[f3175,f2423]) ).
thf(f12809,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_73
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f12806]) ).
thf(f12817,plain,
( ( $true != $true )
| ~ spl2_73
| ~ spl2_75
| ~ spl2_105 ),
inference(constrained_superposition,[],[f12809,f2430]) ).
thf(f12821,plain,
( $false
| ~ spl2_73
| ~ spl2_75
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f12817]) ).
thf(f12822,plain,
( ~ spl2_73
| ~ spl2_75
| ~ spl2_105 ),
inference(avatar_contradiction_clause,[],[f12821]) ).
thf(f12895,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_75
| ~ spl2_258 ),
inference(constrained_superposition,[],[f6196,f2430]) ).
thf(f12896,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_147
| ~ spl2_258 ),
inference(constrained_superposition,[],[f6196,f4291]) ).
thf(f12905,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_75
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f12895]) ).
thf(f12906,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_147
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f12896]) ).
thf(f12914,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_30
| ~ spl2_75
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f12905,f2316]) ).
thf(f12915,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_30
| ~ spl2_147
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f12906,f2316]) ).
thf(f12917,plain,
( spl2_200
| spl2_30
| ~ spl2_75
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f12914,f6195,f2429,f319,f5738]) ).
thf(f12918,plain,
( spl2_200
| spl2_30
| ~ spl2_147
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f12915,f6195,f4290,f319,f5738]) ).
thf(f12943,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_75
| ~ spl2_268 ),
inference(constrained_superposition,[],[f6624,f2430]) ).
thf(f12951,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_75
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f12943]) ).
thf(f12959,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_75
| ~ spl2_268 ),
inference(constrained_superposition,[],[f12951,f1753]) ).
thf(f12962,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_75
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f12959]) ).
thf(f12968,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f5704,f50]) ).
thf(f12976,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f12968]) ).
thf(f12978,plain,
( spl2_198
| ~ spl2_12
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f12976,f5703,f154,f5731]) ).
thf(f12979,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_132
| ~ spl2_239 ),
inference(constrained_superposition,[],[f5912,f4287]) ).
thf(f12989,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_132
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f12979]) ).
thf(f12995,plain,
( ~ spl2_202
| ~ spl2_132
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f12989,f5911,f3768,f5746]) ).
thf(f13193,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_132
| ~ spl2_252 ),
inference(constrained_superposition,[],[f5986,f4287]) ).
thf(f13207,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_132
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f13193]) ).
thf(f13209,plain,
( ~ spl2_109
| ~ spl2_132
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f13207,f5985,f3768,f3231]) ).
thf(f13212,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_75
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f12962,f41]) ).
thf(f13216,plain,
( spl2_219
| spl2_16
| spl2_200
| ~ spl2_75
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f13212,f6623,f2429,f5738,f200,f5815]) ).
thf(f13346,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_78
| ~ spl2_94 ),
inference(constrained_superposition,[],[f2568,f2441]) ).
thf(f13347,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_94
| ~ spl2_144 ),
inference(constrained_superposition,[],[f2568,f4278]) ).
thf(f13350,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f13347]) ).
thf(f13352,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_78
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f13346]) ).
thf(f13354,plain,
( $false
| ~ spl2_94
| ~ spl2_144
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f13350,f7433]) ).
thf(f13355,plain,
( ~ spl2_94
| ~ spl2_144
| ~ spl2_280 ),
inference(avatar_contradiction_clause,[],[f13354]) ).
thf(f13407,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_76
| ~ spl2_106 ),
inference(constrained_superposition,[],[f3178,f2434]) ).
thf(f13408,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_106
| ~ spl2_145 ),
inference(constrained_superposition,[],[f3178,f4282]) ).
thf(f13414,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_106
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f13408]) ).
thf(f13415,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f13407]) ).
thf(f13418,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_200 ),
inference(avatar_component_clause,[],[f5738]) ).
thf(f13420,plain,
( $false
| ~ spl2_106
| ~ spl2_145
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f13414,f7961]) ).
thf(f13421,plain,
( ~ spl2_106
| ~ spl2_145
| ~ spl2_290 ),
inference(avatar_contradiction_clause,[],[f13420]) ).
thf(f13422,plain,
( $false
| ~ spl2_76
| ~ spl2_106
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f13415,f4291]) ).
thf(f13423,plain,
( ~ spl2_76
| ~ spl2_106
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f13422]) ).
thf(f13447,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_42 ),
inference(constrained_superposition,[],[f169,f469]) ).
thf(f13450,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f13447]) ).
thf(f13455,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_42
| ~ spl2_220 ),
inference(constrained_superposition,[],[f13450,f5819]) ).
thf(f13457,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_31
| ~ spl2_42 ),
inference(constrained_superposition,[],[f13450,f323]) ).
thf(f13459,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_42
| ~ spl2_196 ),
inference(constrained_superposition,[],[f13450,f5725]) ).
thf(f13464,plain,
( $false
| ~ spl2_14
| ~ spl2_42
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f13459]) ).
thf(f13465,plain,
( ~ spl2_14
| ~ spl2_42
| ~ spl2_196 ),
inference(avatar_contradiction_clause,[],[f13464]) ).
thf(f13466,plain,
( $false
| ~ spl2_14
| ~ spl2_42
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f13455]) ).
thf(f13467,plain,
( ~ spl2_14
| ~ spl2_42
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f13466]) ).
thf(f13468,plain,
( $false
| ~ spl2_14
| ~ spl2_31
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f13457]) ).
thf(f13469,plain,
( ~ spl2_14
| ~ spl2_31
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f13468]) ).
thf(f13470,plain,
( $false
| ~ spl2_78
| ~ spl2_94
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f3929,f13352]) ).
thf(f13471,plain,
( ~ spl2_78
| ~ spl2_94
| ~ spl2_134 ),
inference(avatar_contradiction_clause,[],[f13470]) ).
thf(f13483,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_219
| ~ spl2_257 ),
inference(constrained_superposition,[],[f6126,f5816]) ).
thf(f13484,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_219 ),
inference(constrained_superposition,[],[f116,f5816]) ).
thf(f13487,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_7
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f13484]) ).
thf(f13488,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_219
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f13483]) ).
thf(f13489,plain,
( $false
| ~ spl2_196
| ~ spl2_219
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f13488,f5725]) ).
thf(f13490,plain,
( ~ spl2_196
| ~ spl2_219
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f13489]) ).
thf(f13492,plain,
( ( $true != $true )
| ~ spl2_7
| ~ spl2_75
| ~ spl2_219 ),
inference(constrained_superposition,[],[f13487,f2430]) ).
thf(f13493,plain,
( ( $true != $true )
| ~ spl2_7
| ~ spl2_147
| ~ spl2_219 ),
inference(constrained_superposition,[],[f13487,f4291]) ).
thf(f13498,plain,
( $false
| ~ spl2_7
| ~ spl2_147
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f13493]) ).
thf(f13499,plain,
( ~ spl2_7
| ~ spl2_147
| ~ spl2_219 ),
inference(avatar_contradiction_clause,[],[f13498]) ).
thf(f13500,plain,
( $false
| ~ spl2_7
| ~ spl2_75
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f13492]) ).
thf(f13501,plain,
( ~ spl2_7
| ~ spl2_75
| ~ spl2_219 ),
inference(avatar_contradiction_clause,[],[f13500]) ).
thf(f13505,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_7
| spl2_96
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f12714,f13487]) ).
thf(f13508,plain,
( spl2_74
| ~ spl2_7
| spl2_96
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f13505,f5815,f2583,f115,f2426]) ).
thf(f13513,plain,
( ( $true != $true )
| ~ spl2_29
| ~ spl2_219 ),
inference(constrained_superposition,[],[f310,f5816]) ).
thf(f13517,plain,
( $false
| ~ spl2_29
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f13513]) ).
thf(f13518,plain,
( ~ spl2_29
| ~ spl2_219 ),
inference(avatar_contradiction_clause,[],[f13517]) ).
thf(f13520,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_29
| spl2_96 ),
inference(forward_subsumption_resolution,[],[f12708,f310]) ).
thf(f13523,plain,
( ~ spl2_202
| spl2_75
| spl2_198
| ~ spl2_29
| spl2_96 ),
inference(avatar_split_clause,[],[f13520,f2583,f309,f5731,f2429,f5746]) ).
thf(f13581,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f169,f1753]) ).
thf(f13582,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_194 ),
inference(constrained_superposition,[],[f169,f5716]) ).
thf(f13587,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f13581]) ).
thf(f13588,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f13582]) ).
thf(f13591,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_194
| ~ spl2_200 ),
inference(constrained_superposition,[],[f13588,f5739]) ).
thf(f13593,plain,
( $false
| ~ spl2_14
| ~ spl2_194
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f13591]) ).
thf(f13594,plain,
( ~ spl2_14
| ~ spl2_194
| ~ spl2_200 ),
inference(avatar_contradiction_clause,[],[f13593]) ).
thf(f13596,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f13587,f310]) ).
thf(f13597,plain,
( $false
| ~ spl2_19
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f211,f310]) ).
thf(f13598,plain,
( ~ spl2_19
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f13597]) ).
thf(f13600,definition,
( spl2_384
<=> ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_384])],[avatar_definition]) ).
thf(f13601,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_384 ),
inference(avatar_component_clause,[],[f13600]) ).
thf(f13602,plain,
( spl2_16
| spl2_384
| ~ spl2_14
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f13596,f309,f168,f13600,f200]) ).
thf(f13604,definition,
( spl2_385
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_385])],[avatar_definition]) ).
thf(f13605,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_385 ),
inference(avatar_component_clause,[],[f13604]) ).
thf(f13608,definition,
( spl2_386
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_386])],[avatar_definition]) ).
thf(f13609,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_386 ),
inference(avatar_component_clause,[],[f13608]) ).
thf(f13618,definition,
( spl2_388
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_388])],[avatar_definition]) ).
thf(f13619,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_388 ),
inference(avatar_component_clause,[],[f13618]) ).
thf(f13622,definition,
( spl2_389
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_389])],[avatar_definition]) ).
thf(f13623,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_389 ),
inference(avatar_component_clause,[],[f13622]) ).
thf(f13657,definition,
( spl2_390
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_390])],[avatar_definition]) ).
thf(f13658,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_390 ),
inference(avatar_component_clause,[],[f13657]) ).
thf(f13755,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_15
| ~ spl2_124 ),
inference(constrained_superposition,[],[f172,f3627]) ).
thf(f13758,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_15
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f13755]) ).
thf(f13770,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_231
| ~ spl2_388 ),
inference(constrained_superposition,[],[f13619,f5874]) ).
thf(f13774,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_231
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f13770]) ).
thf(f13776,plain,
( $false
| ~ spl2_198
| ~ spl2_231
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f13774,f5732]) ).
thf(f13777,plain,
( ~ spl2_198
| ~ spl2_231
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f13776]) ).
thf(f13779,plain,
( $false
| ~ spl2_16
| ~ spl2_47 ),
inference(forward_subsumption_resolution,[],[f201,f596]) ).
thf(f13780,plain,
( ~ spl2_16
| ~ spl2_47 ),
inference(avatar_contradiction_clause,[],[f13779]) ).
thf(f13787,plain,
( spl2_196
| ~ spl2_202
| spl2_28
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f8435,f2515,f306,f5746,f5724]) ).
thf(f13788,plain,
( $false
| ~ spl2_15
| ~ spl2_124
| ~ spl2_139 ),
inference(forward_subsumption_resolution,[],[f3996,f13758]) ).
thf(f13789,plain,
( ~ spl2_15
| ~ spl2_124
| ~ spl2_139 ),
inference(avatar_contradiction_clause,[],[f13788]) ).
thf(f13791,plain,
( spl2_196
| spl2_28
| spl2_201
| spl2_121
| spl2_92 ),
inference(avatar_split_clause,[],[f12412,f2528,f3568,f5743,f306,f5724]) ).
thf(f13821,definition,
( spl2_392
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_392])],[avatar_definition]) ).
thf(f13822,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_392 ),
inference(avatar_component_clause,[],[f13821]) ).
thf(f13888,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_375
| ~ spl2_388 ),
inference(constrained_superposition,[],[f13619,f12370]) ).
thf(f13892,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_375
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f13888]) ).
thf(f13896,plain,
( $false
| ~ spl2_196
| ~ spl2_375
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f13892,f5725]) ).
thf(f13897,plain,
( ~ spl2_196
| ~ spl2_375
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f13896]) ).
thf(f13923,definition,
( spl2_393
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_393])],[avatar_definition]) ).
thf(f13924,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_393 ),
inference(avatar_component_clause,[],[f13923]) ).
thf(f14024,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_246
| ~ spl2_388 ),
inference(constrained_superposition,[],[f13619,f5956]) ).
thf(f14027,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_246
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f14024]) ).
thf(f14029,plain,
( $false
| ~ spl2_201
| ~ spl2_246
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f14027,f5744]) ).
thf(f14030,plain,
( ~ spl2_201
| ~ spl2_246
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f14029]) ).
thf(f14031,plain,
( $false
| ~ spl2_47
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f5716,f596]) ).
thf(f14032,plain,
( ~ spl2_47
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f14031]) ).
thf(f14078,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f377,f82]) ).
thf(f14088,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f14078]) ).
thf(f14089,plain,
( spl2_31
| ~ spl2_37
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f14088,f376,f390,f322]) ).
thf(f14090,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_34
| ~ spl2_388 ),
inference(constrained_superposition,[],[f13619,f380]) ).
thf(f14093,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ~ spl2_34
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f14090]) ).
thf(f14094,plain,
( ( $true != $true )
| ~ spl2_34
| ~ spl2_198
| ~ spl2_388 ),
inference(constrained_superposition,[],[f14093,f5732]) ).
thf(f14095,plain,
( ( $true != $true )
| ~ spl2_34
| ~ spl2_201
| ~ spl2_388 ),
inference(constrained_superposition,[],[f14093,f5744]) ).
thf(f14099,plain,
( $false
| ~ spl2_34
| ~ spl2_201
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f14095]) ).
thf(f14100,plain,
( ~ spl2_34
| ~ spl2_201
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f14099]) ).
thf(f14101,plain,
( $false
| ~ spl2_34
| ~ spl2_198
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f14094]) ).
thf(f14102,plain,
( ~ spl2_34
| ~ spl2_198
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f14101]) ).
thf(f14107,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_144
| ~ spl2_390 ),
inference(constrained_superposition,[],[f13658,f4278]) ).
thf(f14109,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_104
| ~ spl2_390 ),
inference(constrained_superposition,[],[f13658,f3100]) ).
thf(f14112,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_104
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f14109]) ).
thf(f14113,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_144
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f14107]) ).
thf(f14117,plain,
( $false
| ~ spl2_104
| ~ spl2_196
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f14112,f5725]) ).
thf(f14118,plain,
( ~ spl2_104
| ~ spl2_196
| ~ spl2_390 ),
inference(avatar_contradiction_clause,[],[f14117]) ).
thf(f14119,plain,
( $false
| ~ spl2_144
| ~ spl2_211
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f14113,f5782]) ).
thf(f14120,plain,
( ~ spl2_144
| ~ spl2_211
| ~ spl2_390 ),
inference(avatar_contradiction_clause,[],[f14119]) ).
thf(f14126,plain,
( spl2_246
| spl2_196
| spl2_139
| spl2_201
| spl2_92 ),
inference(avatar_split_clause,[],[f12411,f2528,f5743,f3995,f5724,f5955]) ).
thf(f14145,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_81
| ~ spl2_96 ),
inference(constrained_superposition,[],[f2490,f2584]) ).
thf(f14147,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_95
| ~ spl2_96 ),
inference(constrained_superposition,[],[f2571,f2584]) ).
thf(f14159,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_96
| spl2_103 ),
inference(constrained_superposition,[],[f7889,f2584]) ).
thf(f14168,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_96 ),
inference(constrained_superposition,[],[f233,f2584]) ).
thf(f14223,plain,
( spl2_225
| ~ spl2_95
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f14147,f2583,f2570,f5841]) ).
thf(f14228,plain,
( $false
| spl2_81
| ~ spl2_88
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f14145,f2516]) ).
thf(f14229,plain,
( spl2_81
| ~ spl2_88
| ~ spl2_96 ),
inference(avatar_contradiction_clause,[],[f14228]) ).
thf(f14233,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f373]) ).
thf(f14237,plain,
( $false
| ~ spl2_96
| spl2_103 ),
inference(forward_subsumption_resolution,[],[f14159,f2584]) ).
thf(f14238,plain,
( ~ spl2_96
| spl2_103 ),
inference(avatar_contradiction_clause,[],[f14237]) ).
thf(f14239,plain,
( spl2_375
| spl2_32
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f14168,f2583,f373,f12369]) ).
thf(f14273,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_15
| ~ spl2_31 ),
inference(constrained_superposition,[],[f172,f323]) ).
thf(f14274,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_388 ),
inference(constrained_superposition,[],[f13619,f323]) ).
thf(f14277,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f14273]) ).
thf(f14278,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_31
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f14274]) ).
thf(f14280,plain,
( $false
| ~ spl2_15
| ~ spl2_28
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f14277,f307]) ).
thf(f14281,plain,
( ~ spl2_15
| ~ spl2_28
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f14280]) ).
thf(f14282,plain,
( $false
| ~ spl2_16
| ~ spl2_31
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f14278,f201]) ).
thf(f14283,plain,
( ~ spl2_16
| ~ spl2_31
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f14282]) ).
thf(f14293,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_32 ),
inference(constrained_superposition,[],[f1674,f14233]) ).
thf(f14314,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f14293]) ).
thf(f14330,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_42 ),
inference(constrained_superposition,[],[f119,f469]) ).
thf(f14334,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f14330]) ).
thf(f14337,plain,
( $false
| ~ spl2_8
| ~ spl2_42
| ~ spl2_196 ),
inference(forward_subsumption_resolution,[],[f14334,f5725]) ).
thf(f14338,plain,
( ~ spl2_8
| ~ spl2_42
| ~ spl2_196 ),
inference(avatar_contradiction_clause,[],[f14337]) ).
thf(f14340,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_32 ),
inference(forward_subsumption_resolution,[],[f14314,f50]) ).
thf(f14341,plain,
( spl2_196
| spl2_227
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f14340,f373,f5849,f5724]) ).
thf(f14355,definition,
( spl2_398
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_398])],[avatar_definition]) ).
thf(f14356,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_398 ),
inference(avatar_component_clause,[],[f14355]) ).
thf(f14359,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_42
| ~ spl2_392 ),
inference(constrained_superposition,[],[f13822,f469]) ).
thf(f14366,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_42
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f14359]) ).
thf(f14370,plain,
( $false
| ~ spl2_19
| ~ spl2_42
| ~ spl2_392 ),
inference(forward_subsumption_resolution,[],[f14366,f211]) ).
thf(f14371,plain,
( ~ spl2_19
| ~ spl2_42
| ~ spl2_392 ),
inference(avatar_contradiction_clause,[],[f14370]) ).
thf(f14431,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_225
| ~ spl2_231 ),
inference(constrained_superposition,[],[f5842,f5874]) ).
thf(f14435,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_225
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f14431]) ).
thf(f14439,plain,
( ( $true != $true )
| ~ spl2_144
| ~ spl2_225
| ~ spl2_231 ),
inference(constrained_superposition,[],[f14435,f4278]) ).
thf(f14440,plain,
( ( $true != $true )
| ~ spl2_104
| ~ spl2_225
| ~ spl2_231 ),
inference(constrained_superposition,[],[f14435,f3100]) ).
thf(f14442,plain,
( $false
| ~ spl2_104
| ~ spl2_225
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f14440]) ).
thf(f14443,plain,
( ~ spl2_104
| ~ spl2_225
| ~ spl2_231 ),
inference(avatar_contradiction_clause,[],[f14442]) ).
thf(f14445,plain,
( $false
| ~ spl2_144
| ~ spl2_225
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f14439]) ).
thf(f14446,plain,
( ~ spl2_144
| ~ spl2_225
| ~ spl2_231 ),
inference(avatar_contradiction_clause,[],[f14445]) ).
thf(f14492,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_87 ),
inference(constrained_superposition,[],[f49,f2513]) ).
thf(f14561,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_49 ),
inference(constrained_superposition,[],[f172,f7659]) ).
thf(f14565,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f14561]) ).
thf(f14568,plain,
( $false
| ~ spl2_15
| ~ spl2_19
| ~ spl2_49 ),
inference(forward_subsumption_resolution,[],[f14565,f211]) ).
thf(f14569,plain,
( ~ spl2_15
| ~ spl2_19
| ~ spl2_49 ),
inference(avatar_contradiction_clause,[],[f14568]) ).
thf(f14585,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_87 ),
inference(equality_resolution,[],[f14492]) ).
thf(f14586,plain,
( $false
| ~ spl2_87 ),
inference(forward_subsumption_resolution,[],[f14585,f41]) ).
thf(f14587,plain,
~ spl2_87,
inference(avatar_contradiction_clause,[],[f14586]) ).
thf(f14594,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f230,f4240]) ).
thf(f14595,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f230,f4240]) ).
thf(f14596,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f1753,f4240]) ).
thf(f14597,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f1753,f4240]) ).
thf(f14599,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f256,f4240]) ).
thf(f14602,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f83,f4240]) ).
thf(f14603,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_87 ),
inference(extensionality_resolution,[],[f83,f4240]) ).
thf(f14608,plain,
( spl2_146
| spl2_145
| spl2_87 ),
inference(avatar_split_clause,[],[f14594,f2512,f4281,f4284]) ).
thf(f14609,plain,
( spl2_198
| spl2_130
| spl2_231
| ~ spl2_24
| spl2_87 ),
inference(avatar_split_clause,[],[f14599,f2512,f283,f5873,f3760,f5731]) ).
thf(f14610,plain,
( spl2_198
| spl2_130
| spl2_231
| spl2_196
| spl2_87 ),
inference(avatar_split_clause,[],[f14597,f2512,f5724,f5873,f3760,f5731]) ).
thf(f14611,plain,
( spl2_143
| spl2_144
| spl2_87 ),
inference(avatar_split_clause,[],[f14595,f2512,f4277,f4274]) ).
thf(f14612,plain,
( spl2_132
| spl2_134
| spl2_87 ),
inference(avatar_split_clause,[],[f14602,f2512,f3928,f3768]) ).
thf(f14613,plain,
( spl2_147
| spl2_148
| spl2_87 ),
inference(avatar_split_clause,[],[f14603,f2512,f4293,f4290]) ).
thf(f14708,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_267 ),
inference(constrained_superposition,[],[f169,f6612]) ).
thf(f14711,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f14708]) ).
thf(f14714,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_104
| ~ spl2_267 ),
inference(constrained_superposition,[],[f14711,f3100]) ).
thf(f14716,plain,
( $false
| ~ spl2_14
| ~ spl2_104
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f14714]) ).
thf(f14717,plain,
( ~ spl2_14
| ~ spl2_104
| ~ spl2_267 ),
inference(avatar_contradiction_clause,[],[f14716]) ).
thf(f14726,definition,
( spl2_401
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_401])],[avatar_definition]) ).
thf(f14727,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_401 ),
inference(avatar_component_clause,[],[f14726]) ).
thf(f14791,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f96,f2420]) ).
thf(f14805,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f14791]) ).
thf(f14816,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_72 ),
inference(forward_subsumption_resolution,[],[f14805,f596]) ).
thf(f14822,plain,
( spl2_192
| ~ spl2_84
| ~ spl2_47
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f14816,f2419,f595,f2501,f5703]) ).
thf(f14823,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_75
| ~ spl2_95 ),
inference(constrained_superposition,[],[f2571,f2430]) ).
thf(f14825,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_75
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f14823]) ).
thf(f14829,plain,
( ( $true != $true )
| ~ spl2_75
| ~ spl2_95
| ~ spl2_104 ),
inference(constrained_superposition,[],[f14825,f3100]) ).
thf(f14831,plain,
( $false
| ~ spl2_75
| ~ spl2_95
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f14829]) ).
thf(f14832,plain,
( ~ spl2_75
| ~ spl2_95
| ~ spl2_104 ),
inference(avatar_contradiction_clause,[],[f14831]) ).
thf(f14980,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_124
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3656,f3627]) ).
thf(f14982,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_124
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f14980]) ).
thf(f14991,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_72
| ~ spl2_401 ),
inference(constrained_superposition,[],[f14727,f2420]) ).
thf(f14992,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_132
| ~ spl2_401 ),
inference(constrained_superposition,[],[f14727,f4287]) ).
thf(f14995,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_72
| ~ spl2_401 ),
inference(trivial_inequality_removal,[],[f14991]) ).
thf(f14998,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_132
| ~ spl2_401 ),
inference(trivial_inequality_removal,[],[f14992]) ).
thf(f15003,plain,
( ~ spl2_81
| ~ spl2_72
| ~ spl2_401 ),
inference(avatar_split_clause,[],[f14995,f14726,f2419,f2489]) ).
thf(f15004,plain,
( ~ spl2_117
| ~ spl2_132
| ~ spl2_401 ),
inference(avatar_split_clause,[],[f14998,f14726,f3768,f3544]) ).
thf(f15007,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_246
| ~ spl2_398 ),
inference(constrained_superposition,[],[f14356,f5956]) ).
thf(f15013,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_246
| ~ spl2_398 ),
inference(trivial_inequality_removal,[],[f15007]) ).
thf(f15019,plain,
( $false
| ~ spl2_28
| ~ spl2_246
| ~ spl2_398 ),
inference(forward_subsumption_resolution,[],[f15013,f307]) ).
thf(f15020,plain,
( ~ spl2_28
| ~ spl2_246
| ~ spl2_398 ),
inference(avatar_contradiction_clause,[],[f15019]) ).
thf(f15023,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_72
| ~ spl2_192 ),
inference(constrained_superposition,[],[f5704,f2420]) ).
thf(f15032,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_72
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f15023]) ).
thf(f15039,plain,
( ~ spl2_109
| ~ spl2_72
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f15032,f5703,f2419,f3231]) ).
thf(f15045,plain,
( spl2_47
| ~ spl2_124
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f14982,f3655,f3626,f595]) ).
thf(f15047,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_194 ),
inference(constrained_superposition,[],[f169,f5716]) ).
thf(f15050,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f15047]) ).
thf(f15053,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_75
| ~ spl2_194 ),
inference(constrained_superposition,[],[f15050,f2430]) ).
thf(f15055,plain,
( $false
| ~ spl2_14
| ~ spl2_75
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f15053]) ).
thf(f15056,plain,
( ~ spl2_14
| ~ spl2_75
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f15055]) ).
thf(f15087,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_95
| ~ spl2_147 ),
inference(constrained_superposition,[],[f2571,f4291]) ).
thf(f15090,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_95
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f15087]) ).
thf(f15153,plain,
( $false
| ~ spl2_76
| ~ spl2_95
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f2434,f15090]) ).
thf(f15154,plain,
( ~ spl2_76
| ~ spl2_95
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f15153]) ).
thf(f15191,plain,
( $false
| ~ spl2_75
| ~ spl2_78
| ~ spl2_95 ),
inference(forward_subsumption_resolution,[],[f2441,f14825]) ).
thf(f15192,plain,
( ~ spl2_75
| ~ spl2_78
| ~ spl2_95 ),
inference(avatar_contradiction_clause,[],[f15191]) ).
thf(f15290,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_166
| ~ spl2_280 ),
inference(constrained_superposition,[],[f5075,f7433]) ).
thf(f15295,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_166
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f15290]) ).
thf(f15300,plain,
( ( $true != $true )
| ~ spl2_85
| ~ spl2_166
| ~ spl2_280 ),
inference(constrained_superposition,[],[f15295,f2506]) ).
thf(f15301,plain,
( $false
| ~ spl2_85
| ~ spl2_166
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f15300]) ).
thf(f15302,plain,
( ~ spl2_85
| ~ spl2_166
| ~ spl2_280 ),
inference(avatar_contradiction_clause,[],[f15301]) ).
thf(f15416,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3557,f4287]) ).
thf(f15427,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f15416]) ).
thf(f15432,plain,
( $false
| ~ spl2_88
| ~ spl2_120
| ~ spl2_132 ),
inference(forward_subsumption_resolution,[],[f15427,f2516]) ).
thf(f15433,plain,
( ~ spl2_88
| ~ spl2_120
| ~ spl2_132 ),
inference(avatar_contradiction_clause,[],[f15432]) ).
thf(f15523,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_150
| ~ spl2_166 ),
inference(constrained_superposition,[],[f5075,f4316]) ).
thf(f15525,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_150
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f15523]) ).
thf(f15530,plain,
( ( $true != $true )
| ~ spl2_124
| ~ spl2_150
| ~ spl2_166 ),
inference(constrained_superposition,[],[f15525,f3627]) ).
thf(f15535,plain,
( $false
| ~ spl2_124
| ~ spl2_150
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f15530]) ).
thf(f15536,plain,
( ~ spl2_124
| ~ spl2_150
| ~ spl2_166 ),
inference(avatar_contradiction_clause,[],[f15535]) ).
thf(f15540,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f268,f4313]) ).
thf(f15542,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f96,f4313]) ).
thf(f15553,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f15540]) ).
thf(f15559,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f15542]) ).
thf(f15571,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_152 ),
inference(constrained_superposition,[],[f3656,f4323]) ).
thf(f15573,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ~ spl2_127
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f15571]) ).
thf(f15577,plain,
( ( $true != $true )
| ~ spl2_127
| ~ spl2_145
| ~ spl2_152 ),
inference(constrained_superposition,[],[f15573,f4282]) ).
thf(f15581,plain,
( $false
| ~ spl2_127
| ~ spl2_145
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f15577]) ).
thf(f15582,plain,
( ~ spl2_127
| ~ spl2_145
| ~ spl2_152 ),
inference(avatar_contradiction_clause,[],[f15581]) ).
thf(f15796,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_296 ),
inference(constrained_superposition,[],[f268,f7996]) ).
thf(f15819,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f15796]) ).
thf(f15846,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_312 ),
inference(constrained_superposition,[],[f8368,f81]) ).
thf(f15848,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_312 ),
inference(constrained_superposition,[],[f8368,f232]) ).
thf(f15855,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f15848]) ).
thf(f15857,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f15846]) ).
thf(f15858,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_47
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f15857,f596]) ).
thf(f15860,definition,
( spl2_403
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_403])],[avatar_definition]) ).
thf(f15861,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_403 ),
inference(avatar_component_clause,[],[f15860]) ).
thf(f15862,plain,
( ~ spl2_403
| ~ spl2_4
| ~ spl2_47
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f15858,f8367,f595,f98,f15860]) ).
thf(f15864,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_403 ),
inference(constrained_superposition,[],[f15861,f52]) ).
thf(f15865,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_403 ),
inference(constrained_superposition,[],[f15861,f25]) ).
thf(f15867,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_403 ),
inference(trivial_inequality_removal,[],[f15864]) ).
thf(f15868,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_403 ),
inference(trivial_inequality_removal,[],[f15865]) ).
thf(f15871,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_403 ),
inference(forward_subsumption_resolution,[],[f15867,f41]) ).
thf(f15872,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_47
| spl2_403 ),
inference(forward_subsumption_resolution,[],[f15868,f596]) ).
thf(f15873,plain,
( $false
| ~ spl2_47
| spl2_403 ),
inference(forward_subsumption_resolution,[],[f15871,f596]) ).
thf(f15874,plain,
( ~ spl2_47
| spl2_403 ),
inference(avatar_contradiction_clause,[],[f15873]) ).
thf(f15875,plain,
( $false
| ~ spl2_47
| spl2_87
| spl2_403 ),
inference(forward_subsumption_resolution,[],[f15872,f4240]) ).
thf(f15876,plain,
( ~ spl2_47
| spl2_87
| spl2_403 ),
inference(avatar_contradiction_clause,[],[f15875]) ).
thf(f15878,plain,
( ~ spl2_403
| ~ spl2_4
| spl2_267
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f15857,f8367,f6611,f98,f15860]) ).
thf(f15893,plain,
( ~ spl2_169
| spl2_246
| spl2_170
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f15553,f4312,f5169,f5955,f5166]) ).
thf(f15904,plain,
( spl2_354
| spl2_246
| ~ spl2_353
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f15819,f7995,f10181,f5955,f10184]) ).
thf(f15920,definition,
( spl2_404
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_404])],[avatar_definition]) ).
thf(f15921,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_404 ),
inference(avatar_component_clause,[],[f15920]) ).
thf(f15923,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_403 ),
inference(constrained_superposition,[],[f15861,f81]) ).
thf(f15925,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_403 ),
inference(constrained_superposition,[],[f15861,f25]) ).
thf(f15926,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_403 ),
inference(trivial_inequality_removal,[],[f15923]) ).
thf(f15928,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_403 ),
inference(trivial_inequality_removal,[],[f15925]) ).
thf(f15929,plain,
( spl2_194
| spl2_403 ),
inference(avatar_split_clause,[],[f15926,f15860,f5715]) ).
thf(f15931,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_87
| spl2_403 ),
inference(forward_subsumption_resolution,[],[f15928,f4240]) ).
thf(f15932,plain,
( spl2_194
| spl2_87
| spl2_403 ),
inference(avatar_split_clause,[],[f15931,f15860,f2512,f5715]) ).
thf(f15933,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_194 ),
inference(constrained_superposition,[],[f169,f5716]) ).
thf(f15935,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f15933]) ).
thf(f15978,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_104
| ~ spl2_392 ),
inference(constrained_superposition,[],[f13822,f3100]) ).
thf(f15981,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_104
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f15978]) ).
thf(f15983,plain,
( $false
| ~ spl2_104
| ~ spl2_130
| ~ spl2_392 ),
inference(forward_subsumption_resolution,[],[f15981,f3761]) ).
thf(f15984,plain,
( ~ spl2_104
| ~ spl2_130
| ~ spl2_392 ),
inference(avatar_contradiction_clause,[],[f15983]) ).
thf(f15986,plain,
( ~ spl2_24
| spl2_231
| ~ spl2_91
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f15855,f8367,f2525,f5873,f283]) ).
thf(f15987,plain,
( spl2_187
| ~ spl2_189
| spl2_188
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f15559,f4312,f5689,f5692,f5686]) ).
thf(f15992,plain,
( $false
| ~ spl2_14
| ~ spl2_80
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f2487,f15935]) ).
thf(f15993,plain,
( ~ spl2_14
| ~ spl2_80
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f15992]) ).
thf(f16061,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_267 ),
inference(constrained_superposition,[],[f169,f6612]) ).
thf(f16064,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f16061]) ).
thf(f16067,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_108
| ~ spl2_267 ),
inference(constrained_superposition,[],[f16064,f3228]) ).
thf(f16068,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_198
| ~ spl2_267 ),
inference(constrained_superposition,[],[f16064,f5732]) ).
thf(f16069,plain,
( $false
| ~ spl2_14
| ~ spl2_108
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f16067]) ).
thf(f16070,plain,
( ~ spl2_14
| ~ spl2_108
| ~ spl2_267 ),
inference(avatar_contradiction_clause,[],[f16069]) ).
thf(f16072,plain,
( $false
| ~ spl2_14
| ~ spl2_198
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f16068]) ).
thf(f16073,plain,
( ~ spl2_14
| ~ spl2_198
| ~ spl2_267 ),
inference(avatar_contradiction_clause,[],[f16072]) ).
thf(f16113,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_31
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5842,f323]) ).
thf(f16114,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_31
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f16113]) ).
thf(f16118,plain,
( spl2_47
| ~ spl2_31
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f16114,f5841,f322,f595]) ).
thf(f16132,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_15
| ~ spl2_108 ),
inference(constrained_superposition,[],[f172,f3228]) ).
thf(f16136,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_15
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f16132]) ).
thf(f16141,plain,
( $false
| ~ spl2_15
| ~ spl2_108
| ~ spl2_130 ),
inference(forward_subsumption_resolution,[],[f16136,f3761]) ).
thf(f16142,plain,
( ~ spl2_15
| ~ spl2_108
| ~ spl2_130 ),
inference(avatar_contradiction_clause,[],[f16141]) ).
thf(f16234,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_15
| ~ spl2_160 ),
inference(constrained_superposition,[],[f172,f5000]) ).
thf(f16236,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_15
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f16234]) ).
thf(f16238,plain,
( $false
| ~ spl2_15
| ~ spl2_160
| ~ spl2_176 ),
inference(forward_subsumption_resolution,[],[f16236,f5360]) ).
thf(f16239,plain,
( ~ spl2_15
| ~ spl2_160
| ~ spl2_176 ),
inference(avatar_contradiction_clause,[],[f16238]) ).
thf(f16253,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_227 ),
inference(constrained_superposition,[],[f5850,f82]) ).
thf(f16261,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_227 ),
inference(trivial_inequality_removal,[],[f16253]) ).
thf(f16267,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_267
| ~ spl2_404 ),
inference(constrained_superposition,[],[f15921,f6612]) ).
thf(f16271,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_267
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f16267]) ).
thf(f16276,plain,
( $false
| ~ spl2_19
| ~ spl2_267
| ~ spl2_404 ),
inference(forward_subsumption_resolution,[],[f16271,f211]) ).
thf(f16277,plain,
( ~ spl2_19
| ~ spl2_267
| ~ spl2_404 ),
inference(avatar_contradiction_clause,[],[f16276]) ).
thf(f16281,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_104
| ~ spl2_105 ),
inference(constrained_superposition,[],[f3175,f3100]) ).
thf(f16283,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_104
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f16281]) ).
thf(f16291,plain,
( ( $true != $true )
| ~ spl2_104
| ~ spl2_105
| ~ spl2_220 ),
inference(constrained_superposition,[],[f16283,f5819]) ).
thf(f16292,plain,
( $false
| ~ spl2_104
| ~ spl2_105
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f16291]) ).
thf(f16293,plain,
( ~ spl2_104
| ~ spl2_105
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f16292]) ).
thf(f16298,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_225
| ~ spl2_231 ),
inference(constrained_superposition,[],[f5842,f5874]) ).
thf(f16300,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_225
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f16298]) ).
thf(f16307,plain,
( $false
| ~ spl2_73
| ~ spl2_225
| ~ spl2_231 ),
inference(forward_subsumption_resolution,[],[f2423,f16300]) ).
thf(f16308,plain,
( ~ spl2_73
| ~ spl2_225
| ~ spl2_231 ),
inference(avatar_contradiction_clause,[],[f16307]) ).
thf(f16313,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f16261,f41]) ).
thf(f16318,plain,
( spl2_19
| spl2_31
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f16313,f5849,f322,f210]) ).
thf(f16321,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f596,f1753]) ).
thf(f16322,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f16321]) ).
thf(f16324,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| spl2_16
| ~ spl2_47 ),
inference(forward_subsumption_resolution,[],[f16322,f8254]) ).
thf(f16394,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_73
| ~ spl2_390 ),
inference(constrained_superposition,[],[f13658,f2423]) ).
thf(f16396,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_73
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f16394]) ).
thf(f16410,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_231
| ~ spl2_404 ),
inference(constrained_superposition,[],[f15921,f5874]) ).
thf(f16417,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_231
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f16410]) ).
thf(f16420,plain,
( $false
| ~ spl2_28
| ~ spl2_231
| ~ spl2_404 ),
inference(forward_subsumption_resolution,[],[f16417,f307]) ).
thf(f16421,plain,
( ~ spl2_28
| ~ spl2_231
| ~ spl2_404 ),
inference(avatar_contradiction_clause,[],[f16420]) ).
thf(f16428,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_220
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5842,f5819]) ).
thf(f16429,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_225
| ~ spl2_246 ),
inference(constrained_superposition,[],[f5842,f5956]) ).
thf(f16433,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_220
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f16428]) ).
thf(f16435,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_225
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f16429]) ).
thf(f16439,plain,
( ( $true != $true )
| ~ spl2_85
| ~ spl2_220
| ~ spl2_225 ),
inference(constrained_superposition,[],[f16433,f2506]) ).
thf(f16440,plain,
( $false
| ~ spl2_85
| ~ spl2_220
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f16439]) ).
thf(f16441,plain,
( ~ spl2_85
| ~ spl2_220
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f16440]) ).
thf(f16453,plain,
( ( $true != $true )
| ~ spl2_124
| ~ spl2_225
| ~ spl2_246 ),
inference(constrained_superposition,[],[f16435,f3627]) ).
thf(f16456,plain,
( $false
| ~ spl2_124
| ~ spl2_225
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f16453]) ).
thf(f16457,plain,
( ~ spl2_124
| ~ spl2_225
| ~ spl2_246 ),
inference(avatar_contradiction_clause,[],[f16456]) ).
thf(f16577,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f3242,f82]) ).
thf(f16579,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f3242,f50]) ).
thf(f16582,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f16579]) ).
thf(f16591,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f16577]) ).
thf(f16596,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110
| ~ spl2_220
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f16591,f16433]) ).
thf(f16597,plain,
( ~ spl2_37
| ~ spl2_110
| ~ spl2_220
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f16596,f5841,f5818,f3241,f390]) ).
thf(f16598,plain,
( spl2_85
| ~ spl2_37
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f16591,f3241,f390,f2505]) ).
thf(f16621,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f268,f2526]) ).
thf(f16623,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f96,f2526]) ).
thf(f16636,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f16623]) ).
thf(f16643,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f16621]) ).
thf(f16650,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_47
| ~ spl2_91 ),
inference(forward_subsumption_resolution,[],[f16636,f596]) ).
thf(f16653,plain,
( ~ spl2_22
| spl2_20
| ~ spl2_47
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f16650,f2525,f595,f270,f276]) ).
thf(f16657,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_91 ),
inference(constrained_superposition,[],[f271,f2526]) ).
thf(f16660,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f271,f50]) ).
thf(f16664,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f16660]) ).
thf(f16668,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f16657]) ).
thf(f16714,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_127
| ~ spl2_134 ),
inference(constrained_superposition,[],[f3656,f3929]) ).
thf(f16721,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_127
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f16714]) ).
thf(f16730,plain,
( ( $true != $true )
| ~ spl2_80
| ~ spl2_127
| ~ spl2_134 ),
inference(constrained_superposition,[],[f16721,f2487]) ).
thf(f16731,plain,
( ( $true != $true )
| ~ spl2_85
| ~ spl2_127
| ~ spl2_134 ),
inference(constrained_superposition,[],[f16721,f2506]) ).
thf(f16733,plain,
( $false
| ~ spl2_80
| ~ spl2_127
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f16730]) ).
thf(f16734,plain,
( ~ spl2_80
| ~ spl2_127
| ~ spl2_134 ),
inference(avatar_contradiction_clause,[],[f16733]) ).
thf(f16738,plain,
( $false
| ~ spl2_85
| ~ spl2_127
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f16731]) ).
thf(f16739,plain,
( ~ spl2_85
| ~ spl2_127
| ~ spl2_134 ),
inference(avatar_contradiction_clause,[],[f16738]) ).
thf(f16769,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_88 ),
inference(constrained_superposition,[],[f204,f2516]) ).
thf(f16788,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_17
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f16769]) ).
thf(f16793,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_134
| ~ spl2_386 ),
inference(constrained_superposition,[],[f13609,f3929]) ).
thf(f16801,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_134
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f16793]) ).
thf(f16833,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_78
| ~ spl2_398 ),
inference(constrained_superposition,[],[f14356,f2441]) ).
thf(f16837,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_78
| ~ spl2_398 ),
inference(trivial_inequality_removal,[],[f16833]) ).
thf(f16840,plain,
( $false
| ~ spl2_78
| ~ spl2_130
| ~ spl2_398 ),
inference(forward_subsumption_resolution,[],[f16837,f3761]) ).
thf(f16841,plain,
( ~ spl2_78
| ~ spl2_130
| ~ spl2_398 ),
inference(avatar_contradiction_clause,[],[f16840]) ).
thf(f16990,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_162
| ~ spl2_389 ),
inference(constrained_superposition,[],[f13623,f5007]) ).
thf(f16994,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_162
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f16990]) ).
thf(f17073,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120 ),
inference(constrained_superposition,[],[f3557,f50]) ).
thf(f17080,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f17073]) ).
thf(f17187,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_211
| ~ spl2_305 ),
inference(constrained_superposition,[],[f8168,f5782]) ).
thf(f17189,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_211
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f17187]) ).
thf(f17194,plain,
( $false
| ~ spl2_28
| ~ spl2_211
| ~ spl2_305 ),
inference(forward_subsumption_resolution,[],[f17189,f307]) ).
thf(f17195,plain,
( ~ spl2_28
| ~ spl2_211
| ~ spl2_305 ),
inference(avatar_contradiction_clause,[],[f17194]) ).
thf(f17198,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_218 ),
inference(constrained_superposition,[],[f5812,f81]) ).
thf(f17205,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f17198]) ).
thf(f17214,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_218 ),
inference(forward_subsumption_resolution,[],[f17205,f596]) ).
thf(f17215,plain,
( ~ spl2_4
| ~ spl2_37
| ~ spl2_47
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f17214,f5811,f595,f390,f98]) ).
thf(f17219,plain,
( ~ spl2_109
| ~ spl2_20
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f16668,f2525,f270,f3231]) ).
thf(f17225,plain,
( ~ spl2_36
| spl2_201
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f17080,f3556,f5743,f386]) ).
thf(f17233,plain,
( ~ spl2_36
| spl2_200
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f16582,f3241,f5738,f386]) ).
thf(f17235,definition,
( spl2_412
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_412])],[avatar_definition]) ).
thf(f17236,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_412 ),
inference(avatar_component_clause,[],[f17235]) ).
thf(f17242,plain,
( ~ spl2_200
| ~ spl2_73
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f16396,f13657,f2422,f5738]) ).
thf(f17248,plain,
( spl2_33
| ~ spl2_32
| spl2_220
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f16643,f2525,f5818,f373,f376]) ).
thf(f17249,plain,
( spl2_28
| spl2_104
| spl2_196
| spl2_198
| spl2_87 ),
inference(avatar_split_clause,[],[f14596,f2512,f5731,f5724,f3099,f306]) ).
thf(f17250,plain,
( spl2_31
| ~ spl2_202
| ~ spl2_109
| ~ spl2_17
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f16788,f2515,f203,f3231,f5746,f322]) ).
thf(f17255,plain,
( ~ spl2_200
| ~ spl2_134
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f16801,f13608,f3928,f5738]) ).
thf(f17256,plain,
( spl2_196
| ~ spl2_12
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f16664,f270,f154,f5724]) ).
thf(f17257,plain,
( $false
| ~ spl2_47
| ~ spl2_49 ),
inference(forward_subsumption_resolution,[],[f7659,f596]) ).
thf(f17258,plain,
( ~ spl2_47
| ~ spl2_49 ),
inference(avatar_contradiction_clause,[],[f17257]) ).
thf(f17269,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_30 ),
inference(extensionality_resolution,[],[f1753,f2316]) ).
thf(f17295,plain,
( $false
| ~ spl2_162
| ~ spl2_196
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f16994,f5725]) ).
thf(f17296,plain,
( ~ spl2_162
| ~ spl2_196
| ~ spl2_389 ),
inference(avatar_contradiction_clause,[],[f17295]) ).
thf(f17334,definition,
( spl2_414
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_414])],[avatar_definition]) ).
thf(f17335,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_414 ),
inference(avatar_component_clause,[],[f17334]) ).
thf(f17365,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_73
| ~ spl2_412 ),
inference(constrained_superposition,[],[f17236,f2423]) ).
thf(f17372,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_73
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f17365]) ).
thf(f17382,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_80
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17335,f2487]) ).
thf(f17387,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_80
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f17382]) ).
thf(f17389,plain,
( $false
| ~ spl2_80
| ~ spl2_196
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f17387,f5725]) ).
thf(f17390,plain,
( ~ spl2_80
| ~ spl2_196
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f17389]) ).
thf(f17393,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_220
| ~ spl2_388 ),
inference(constrained_superposition,[],[f13619,f5819]) ).
thf(f17396,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_220
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f17393]) ).
thf(f17399,plain,
( $false
| ~ spl2_200
| ~ spl2_220
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f17396,f5739]) ).
thf(f17400,plain,
( ~ spl2_200
| ~ spl2_220
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f17399]) ).
thf(f17425,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_75
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17335,f2430]) ).
thf(f17428,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_75
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f17425]) ).
thf(f17495,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f5855,f233]) ).
thf(f17502,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f17495]) ).
thf(f17549,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_121
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3656,f3569]) ).
thf(f17552,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_121
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f17549]) ).
thf(f17562,plain,
( ( $true != $true )
| ~ spl2_121
| ~ spl2_127
| ~ spl2_220 ),
inference(constrained_superposition,[],[f17552,f5819]) ).
thf(f17563,plain,
( ( $true != $true )
| ~ spl2_121
| ~ spl2_127
| ~ spl2_246 ),
inference(constrained_superposition,[],[f17552,f5956]) ).
thf(f17565,plain,
( ( $true != $true )
| ~ spl2_31
| ~ spl2_121
| ~ spl2_127 ),
inference(constrained_superposition,[],[f17552,f323]) ).
thf(f17567,plain,
( $false
| ~ spl2_31
| ~ spl2_121
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f17565]) ).
thf(f17568,plain,
( ~ spl2_31
| ~ spl2_121
| ~ spl2_127 ),
inference(avatar_contradiction_clause,[],[f17567]) ).
thf(f17569,plain,
( $false
| ~ spl2_121
| ~ spl2_127
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f17562]) ).
thf(f17570,plain,
( ~ spl2_121
| ~ spl2_127
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f17569]) ).
thf(f17572,plain,
( $false
| ~ spl2_121
| ~ spl2_127
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f17563]) ).
thf(f17573,plain,
( ~ spl2_121
| ~ spl2_127
| ~ spl2_246 ),
inference(avatar_contradiction_clause,[],[f17572]) ).
thf(f17612,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_75
| ~ spl2_238 ),
inference(constrained_superposition,[],[f5907,f2430]) ).
thf(f17614,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_200
| ~ spl2_238 ),
inference(constrained_superposition,[],[f5907,f5739]) ).
thf(f17616,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_75
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f17612]) ).
thf(f17618,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_200
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f17614]) ).
thf(f17620,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_75
| ~ spl2_238 ),
inference(constrained_superposition,[],[f17616,f1753]) ).
thf(f17623,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_75
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f17620]) ).
thf(f17642,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_76
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3656,f2434]) ).
thf(f17646,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_76
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f17642]) ).
thf(f17649,plain,
( ( $true != $true )
| ~ spl2_73
| ~ spl2_76
| ~ spl2_127 ),
inference(constrained_superposition,[],[f17646,f2423]) ).
thf(f17650,plain,
( ( $true != $true )
| ~ spl2_76
| ~ spl2_108
| ~ spl2_127 ),
inference(constrained_superposition,[],[f17646,f3228]) ).
thf(f17652,plain,
( $false
| ~ spl2_76
| ~ spl2_108
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f17650]) ).
thf(f17653,plain,
( ~ spl2_76
| ~ spl2_108
| ~ spl2_127 ),
inference(avatar_contradiction_clause,[],[f17652]) ).
thf(f17655,plain,
( $false
| ~ spl2_73
| ~ spl2_76
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f17649]) ).
thf(f17656,plain,
( ~ spl2_73
| ~ spl2_76
| ~ spl2_127 ),
inference(avatar_contradiction_clause,[],[f17655]) ).
thf(f17692,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f3178,f1753]) ).
thf(f17696,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f17692]) ).
thf(f17700,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_73
| ~ spl2_106
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f17696,f17372]) ).
thf(f17702,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_73
| ~ spl2_106
| ~ spl2_412
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f17700,f17335]) ).
thf(f17704,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_73
| ~ spl2_75
| ~ spl2_106
| ~ spl2_412
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f17702,f17428]) ).
thf(f17706,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_73
| ~ spl2_75
| ~ spl2_85
| ~ spl2_106
| ~ spl2_412
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17704,f2506]) ).
thf(f17710,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_73
| ~ spl2_75
| ~ spl2_85
| ~ spl2_106
| ~ spl2_412
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f17706]) ).
thf(f17711,plain,
( $false
| ~ spl2_73
| ~ spl2_75
| ~ spl2_85
| ~ spl2_106
| ~ spl2_412
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f17710,f41]) ).
thf(f17712,plain,
( ~ spl2_73
| ~ spl2_75
| ~ spl2_85
| ~ spl2_106
| ~ spl2_412
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f17711]) ).
thf(f17713,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_106
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f17696,f17335]) ).
thf(f17715,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_75
| ~ spl2_106
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f17713,f17428]) ).
thf(f17718,definition,
( spl2_417
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_417])],[avatar_definition]) ).
thf(f17719,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_417 ),
inference(avatar_component_clause,[],[f17718]) ).
thf(f17720,plain,
( spl2_130
| spl2_417
| ~ spl2_75
| ~ spl2_106
| ~ spl2_414 ),
inference(avatar_split_clause,[],[f17715,f17334,f3177,f2429,f17718,f3760]) ).
thf(f17735,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_85
| ~ spl2_417 ),
inference(constrained_superposition,[],[f17719,f2506]) ).
thf(f17739,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_85
| ~ spl2_417 ),
inference(trivial_inequality_removal,[],[f17735]) ).
thf(f17740,plain,
( $false
| ~ spl2_85
| ~ spl2_417 ),
inference(forward_subsumption_resolution,[],[f17739,f41]) ).
thf(f17741,plain,
( ~ spl2_85
| ~ spl2_417 ),
inference(avatar_contradiction_clause,[],[f17740]) ).
thf(f17968,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_76
| ~ spl2_136 ),
inference(constrained_superposition,[],[f3960,f2434]) ).
thf(f17972,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_76
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f17968]) ).
thf(f17974,plain,
( $false
| ~ spl2_73
| ~ spl2_76
| ~ spl2_136 ),
inference(forward_subsumption_resolution,[],[f17972,f2423]) ).
thf(f17975,plain,
( ~ spl2_73
| ~ spl2_76
| ~ spl2_136 ),
inference(avatar_contradiction_clause,[],[f17974]) ).
thf(f17981,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_78
| ~ spl2_156 ),
inference(constrained_superposition,[],[f4741,f2441]) ).
thf(f17990,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_78
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f17981]) ).
thf(f17993,plain,
( $false
| ~ spl2_75
| ~ spl2_78
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f17990,f2430]) ).
thf(f17994,plain,
( ~ spl2_75
| ~ spl2_78
| ~ spl2_156 ),
inference(avatar_contradiction_clause,[],[f17993]) ).
thf(f18000,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_149
| ~ spl2_170 ),
inference(constrained_superposition,[],[f5170,f4313]) ).
thf(f18002,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_170
| ~ spl2_183 ),
inference(constrained_superposition,[],[f5170,f7954]) ).
thf(f18014,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_170
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f18002]) ).
thf(f18018,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_149
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f18000]) ).
thf(f18021,plain,
( $false
| ~ spl2_88
| ~ spl2_170
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f18014,f2516]) ).
thf(f18022,plain,
( ~ spl2_88
| ~ spl2_170
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f18021]) ).
thf(f18023,plain,
( ~ spl2_117
| ~ spl2_149
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f18018,f5169,f4312,f3544]) ).
thf(f18118,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_149
| ~ spl2_182 ),
inference(constrained_superposition,[],[f5487,f4313]) ).
thf(f18136,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_149
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f18118]) ).
thf(f18139,plain,
( $false
| ~ spl2_132
| ~ spl2_149
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f18136,f4287]) ).
thf(f18140,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_182 ),
inference(avatar_contradiction_clause,[],[f18139]) ).
thf(f18154,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_296
| ~ spl2_354 ),
inference(constrained_superposition,[],[f10185,f7996]) ).
thf(f18157,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f10185,f82]) ).
thf(f18167,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_296
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f18154]) ).
thf(f18168,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f18157]) ).
thf(f18170,plain,
( ~ spl2_117
| ~ spl2_296
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f18167,f10184,f7995,f3544]) ).
thf(f18171,plain,
( ~ spl2_37
| spl2_329
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f18168,f10184,f9224,f390]) ).
thf(f18245,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_328
| ~ spl2_367 ),
inference(constrained_superposition,[],[f11419,f9221]) ).
thf(f18250,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_328
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f18245]) ).
thf(f18264,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f5879,f81]) ).
thf(f18275,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f18264]) ).
thf(f18282,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_47
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f18275,f596]) ).
thf(f18283,plain,
( ~ spl2_4
| ~ spl2_403
| ~ spl2_47
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f18282,f5878,f595,f15860,f98]) ).
thf(f18326,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_126
| ~ spl2_147 ),
inference(constrained_superposition,[],[f3653,f4291]) ).
thf(f18327,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_147
| ~ spl2_269 ),
inference(constrained_superposition,[],[f6650,f4291]) ).
thf(f18329,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_147
| ~ spl2_238 ),
inference(constrained_superposition,[],[f5907,f4291]) ).
thf(f18332,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_126
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f18326]) ).
thf(f18334,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_147
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f18329]) ).
thf(f18335,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_147
| ~ spl2_269 ),
inference(trivial_inequality_removal,[],[f18327]) ).
thf(f18336,plain,
( $false
| ~ spl2_73
| ~ spl2_126
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f18332,f2423]) ).
thf(f18337,plain,
( ~ spl2_73
| ~ spl2_126
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f18336]) ).
thf(f18339,plain,
( $false
| ~ spl2_121
| ~ spl2_147
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f18334,f3569]) ).
thf(f18340,plain,
( ~ spl2_121
| ~ spl2_147
| ~ spl2_238 ),
inference(avatar_contradiction_clause,[],[f18339]) ).
thf(f18341,plain,
( $false
| ~ spl2_147
| ~ spl2_220
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f18335,f5819]) ).
thf(f18342,plain,
( ~ spl2_147
| ~ spl2_220
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f18341]) ).
thf(f18378,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_16
| ~ spl2_47
| ~ spl2_106 ),
inference(constrained_superposition,[],[f3178,f16324]) ).
thf(f18389,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_7
| spl2_16
| ~ spl2_47 ),
inference(constrained_superposition,[],[f116,f16324]) ).
thf(f18400,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) ) )
| ~ spl2_7
| spl2_16
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f18389]) ).
thf(f18404,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_16
| ~ spl2_47
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f18378]) ).
thf(f18408,plain,
( spl2_384
| ~ spl2_7
| spl2_16
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f18400,f595,f200,f115,f13600]) ).
thf(f18409,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_16
| ~ spl2_47
| ~ spl2_106
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f18404,f5739]) ).
thf(f18416,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_16
| ~ spl2_47
| ~ spl2_106
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f18409,f41]) ).
thf(f18420,plain,
( spl2_198
| spl2_16
| ~ spl2_47
| ~ spl2_106
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f18416,f5738,f3177,f595,f200,f5731]) ).
thf(f18504,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f1602,f2437]) ).
thf(f18513,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_239 ),
inference(constrained_superposition,[],[f5912,f2437]) ).
thf(f18522,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f18504]) ).
thf(f18527,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_77
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f18513]) ).
thf(f18534,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_75
| ~ spl2_77
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f18522,f17616]) ).
thf(f18536,plain,
( ~ spl2_205
| ~ spl2_77
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f18527,f5911,f2436,f5758]) ).
thf(f18538,plain,
( spl2_255
| ~ spl2_75
| ~ spl2_77
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f18534,f5906,f2436,f2429,f6043]) ).
thf(f18603,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_156
| ~ spl2_246 ),
inference(constrained_superposition,[],[f4741,f5956]) ).
thf(f18611,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_156
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f18603]) ).
thf(f18653,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f5778,f81]) ).
thf(f18671,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f18653]) ).
thf(f18673,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_47
| ~ spl2_210 ),
inference(forward_subsumption_resolution,[],[f18671,f596]) ).
thf(f18675,definition,
( spl2_431
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_431])],[avatar_definition]) ).
thf(f18676,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_431 ),
inference(avatar_component_clause,[],[f18675]) ).
thf(f18677,plain,
( ~ spl2_4
| ~ spl2_431
| ~ spl2_47
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f18673,f5777,f595,f18675,f98]) ).
thf(f18679,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_431 ),
inference(constrained_superposition,[],[f18676,f52]) ).
thf(f18683,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_431 ),
inference(trivial_inequality_removal,[],[f18679]) ).
thf(f18687,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| spl2_431 ),
inference(forward_subsumption_resolution,[],[f18683,f596]) ).
thf(f18690,plain,
( $false
| ~ spl2_47
| spl2_431 ),
inference(forward_subsumption_resolution,[],[f18687,f41]) ).
thf(f18691,plain,
( ~ spl2_47
| spl2_431 ),
inference(avatar_contradiction_clause,[],[f18690]) ).
thf(f18692,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_404 ),
inference(constrained_superposition,[],[f15921,f2434]) ).
thf(f18695,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f18692]) ).
thf(f18707,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f6606,f81]) ).
thf(f18712,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f6606,f51]) ).
thf(f18713,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f18707]) ).
thf(f18719,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f18712]) ).
thf(f18721,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f18713,f596]) ).
thf(f18722,plain,
( spl2_130
| ~ spl2_36
| ~ spl2_129
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f18719,f6605,f3757,f386,f3760]) ).
thf(f18723,plain,
( ~ spl2_37
| ~ spl2_403
| ~ spl2_47
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f18721,f6605,f595,f15860,f390]) ).
thf(f18729,plain,
( $false
| ~ spl2_80
| ~ spl2_156
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f18611,f2487]) ).
thf(f18730,plain,
( ~ spl2_80
| ~ spl2_156
| ~ spl2_246 ),
inference(avatar_contradiction_clause,[],[f18729]) ).
thf(f18741,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_251 ),
inference(constrained_superposition,[],[f5977,f51]) ).
thf(f18748,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f18741]) ).
thf(f18754,definition,
( spl2_432
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_432])],[avatar_definition]) ).
thf(f18755,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_432 ),
inference(avatar_component_clause,[],[f18754]) ).
thf(f18757,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_76
| ~ spl2_251
| ~ spl2_404 ),
inference(forward_subsumption_resolution,[],[f18748,f18695]) ).
thf(f18758,plain,
( ~ spl2_12
| ~ spl2_129
| ~ spl2_76
| ~ spl2_251
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f18757,f15920,f5976,f2433,f3757,f154]) ).
thf(f18761,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_364 ),
inference(constrained_superposition,[],[f10910,f81]) ).
thf(f18772,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_364 ),
inference(trivial_inequality_removal,[],[f18761]) ).
thf(f18779,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_47
| ~ spl2_364 ),
inference(forward_subsumption_resolution,[],[f18772,f596]) ).
thf(f18781,plain,
( ~ spl2_403
| ~ spl2_4
| ~ spl2_47
| ~ spl2_364 ),
inference(avatar_split_clause,[],[f18779,f10909,f595,f98,f15860]) ).
thf(f18785,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_241 ),
inference(constrained_superposition,[],[f5924,f81]) ).
thf(f18796,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f18785]) ).
thf(f18803,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_47
| ~ spl2_241 ),
inference(forward_subsumption_resolution,[],[f18796,f596]) ).
thf(f18804,plain,
( ~ spl2_431
| ~ spl2_4
| ~ spl2_47
| ~ spl2_241 ),
inference(avatar_split_clause,[],[f18803,f5923,f595,f98,f18675]) ).
thf(f18821,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_256 ),
inference(constrained_superposition,[],[f6048,f81]) ).
thf(f18826,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_79
| ~ spl2_256 ),
inference(constrained_superposition,[],[f6048,f2444]) ).
thf(f18836,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_79
| ~ spl2_256 ),
inference(trivial_inequality_removal,[],[f18826]) ).
thf(f18838,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_256 ),
inference(trivial_inequality_removal,[],[f18821]) ).
thf(f18843,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_72
| ~ spl2_79
| ~ spl2_256 ),
inference(forward_subsumption_resolution,[],[f18836,f2420]) ).
thf(f18844,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_256 ),
inference(forward_subsumption_resolution,[],[f18838,f596]) ).
thf(f18847,plain,
( ~ spl2_81
| ~ spl2_72
| ~ spl2_79
| ~ spl2_256 ),
inference(avatar_split_clause,[],[f18843,f6047,f2443,f2419,f2489]) ).
thf(f18848,plain,
( ~ spl2_403
| ~ spl2_37
| ~ spl2_47
| ~ spl2_256 ),
inference(avatar_split_clause,[],[f18844,f6047,f595,f390,f15860]) ).
thf(f18874,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f6044,f81]) ).
thf(f18884,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f18874]) ).
thf(f18894,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_47
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f18884,f596]) ).
thf(f18899,plain,
( ~ spl2_37
| ~ spl2_431
| ~ spl2_47
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f18894,f6043,f595,f18675,f390]) ).
thf(f18911,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_207 ),
inference(constrained_superposition,[],[f5767,f81]) ).
thf(f18920,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_207 ),
inference(trivial_inequality_removal,[],[f18911]) ).
thf(f18930,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_47
| ~ spl2_207 ),
inference(forward_subsumption_resolution,[],[f18920,f596]) ).
thf(f18933,definition,
( spl2_433
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_433])],[avatar_definition]) ).
thf(f18934,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_433 ),
inference(avatar_component_clause,[],[f18933]) ).
thf(f18935,plain,
( ~ spl2_433
| ~ spl2_4
| ~ spl2_47
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f18930,f5766,f595,f98,f18933]) ).
thf(f18986,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f8436,f81]) ).
thf(f18988,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f8436,f232]) ).
thf(f18993,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f8436,f51]) ).
thf(f18995,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f18986]) ).
thf(f18997,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f18993]) ).
thf(f19002,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_88 ),
inference(duplicate_literal_removal,[],[f18988]) ).
thf(f19003,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f19002]) ).
thf(f19014,plain,
( spl2_194
| spl2_190
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f18995,f2515,f5696,f5715]) ).
thf(f19018,plain,
( spl2_219
| spl2_218
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f18997,f2515,f5811,f5815]) ).
thf(f19022,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_75
| ~ spl2_228
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f17502,f17616]) ).
thf(f19023,plain,
( $false
| ~ spl2_75
| ~ spl2_104
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f3100,f17616]) ).
thf(f19024,plain,
( ~ spl2_75
| ~ spl2_104
| ~ spl2_238 ),
inference(avatar_contradiction_clause,[],[f19023]) ).
thf(f19027,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_75
| spl2_87
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f17623,f4240]) ).
thf(f19031,plain,
( ~ spl2_24
| ~ spl2_75
| ~ spl2_228
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f19022,f5906,f5854,f2429,f283]) ).
thf(f19032,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_75
| spl2_87
| ~ spl2_200
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f19027,f17618]) ).
thf(f19033,plain,
( spl2_196
| spl2_198
| ~ spl2_75
| spl2_87
| ~ spl2_200
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f19032,f5906,f5738,f2512,f2429,f5731,f5724]) ).
thf(f19034,plain,
( spl2_104
| ~ spl2_24
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f17502,f5854,f283,f3099]) ).
thf(f19123,plain,
( $false
| ~ spl2_104
| ~ spl2_328
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f18250,f3100]) ).
thf(f19124,plain,
( ~ spl2_104
| ~ spl2_328
| ~ spl2_367 ),
inference(avatar_contradiction_clause,[],[f19123]) ).
thf(f19146,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_75
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17335,f2430]) ).
thf(f19148,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_75
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f19146]) ).
thf(f19261,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f58,f2437]) ).
thf(f19277,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f19261]) ).
thf(f19282,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_75
| ~ spl2_77
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f19277,f19148]) ).
thf(f19283,plain,
( spl2_210
| ~ spl2_75
| ~ spl2_77
| ~ spl2_414 ),
inference(avatar_split_clause,[],[f19282,f17334,f2436,f2429,f5777]) ).
thf(f19287,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_108
| ~ spl2_236 ),
inference(constrained_superposition,[],[f5899,f3228]) ).
thf(f19288,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_108
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f19287]) ).
thf(f19293,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_108
| ~ spl2_236 ),
inference(constrained_superposition,[],[f19288,f1753]) ).
thf(f19296,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_108
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f19293]) ).
thf(f19304,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_108
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f19296,f41]) ).
thf(f19307,plain,
( spl2_401
| spl2_220
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f19003,f2515,f5818,f14726]) ).
thf(f19310,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_16
| ~ spl2_108
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f19304,f8254]) ).
thf(f19311,plain,
( spl2_28
| spl2_196
| spl2_16
| ~ spl2_108
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f19310,f5898,f3227,f200,f5724,f306]) ).
thf(f19316,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_88
| ~ spl2_91 ),
inference(constrained_superposition,[],[f8436,f2526]) ).
thf(f19336,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_88
| ~ spl2_91 ),
inference(duplicate_literal_removal,[],[f19316]) ).
thf(f19337,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_88
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f19336]) ).
thf(f19352,plain,
( spl2_401
| ~ spl2_88
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f19337,f2525,f2515,f14726]) ).
thf(f19363,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_187
| ~ spl2_269 ),
inference(constrained_superposition,[],[f6650,f5687]) ).
thf(f19364,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_187 ),
inference(constrained_superposition,[],[f169,f5687]) ).
thf(f19366,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_187
| ~ spl2_269 ),
inference(trivial_inequality_removal,[],[f19363]) ).
thf(f19368,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f19364]) ).
thf(f19369,plain,
( $false
| ~ spl2_31
| ~ spl2_187
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f19366,f323]) ).
thf(f19370,plain,
( ~ spl2_31
| ~ spl2_187
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f19369]) ).
thf(f19373,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_124
| ~ spl2_187 ),
inference(constrained_superposition,[],[f19368,f3627]) ).
thf(f19374,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_187
| ~ spl2_201 ),
inference(constrained_superposition,[],[f19368,f5744]) ).
thf(f19375,plain,
( $false
| ~ spl2_14
| ~ spl2_187
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f19374]) ).
thf(f19376,plain,
( ~ spl2_14
| ~ spl2_187
| ~ spl2_201 ),
inference(avatar_contradiction_clause,[],[f19375]) ).
thf(f19377,plain,
( $false
| ~ spl2_14
| ~ spl2_124
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f19373]) ).
thf(f19378,plain,
( ~ spl2_14
| ~ spl2_124
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f19377]) ).
thf(f19417,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_121
| ~ spl2_386 ),
inference(constrained_superposition,[],[f13609,f3569]) ).
thf(f19419,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_121
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f19417]) ).
thf(f19421,plain,
( $false
| ~ spl2_121
| ~ spl2_196
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f19419,f5725]) ).
thf(f19422,plain,
( ~ spl2_121
| ~ spl2_196
| ~ spl2_386 ),
inference(avatar_contradiction_clause,[],[f19421]) ).
thf(f19459,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_147
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17335,f4291]) ).
thf(f19461,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_147
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f19459]) ).
thf(f19464,plain,
( $false
| ~ spl2_147
| ~ spl2_201
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f19461,f5744]) ).
thf(f19465,plain,
( ~ spl2_147
| ~ spl2_201
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f19464]) ).
thf(f19525,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_104
| ~ spl2_105 ),
inference(constrained_superposition,[],[f3175,f3100]) ).
thf(f19527,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_104
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f19525]) ).
thf(f19533,plain,
( ( $true != $true )
| ~ spl2_104
| ~ spl2_105
| ~ spl2_231 ),
inference(constrained_superposition,[],[f19527,f5874]) ).
thf(f19534,plain,
( ( $true != $true )
| ~ spl2_31
| ~ spl2_104
| ~ spl2_105 ),
inference(constrained_superposition,[],[f19527,f323]) ).
thf(f19536,plain,
( $false
| ~ spl2_31
| ~ spl2_104
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f19534]) ).
thf(f19537,plain,
( ~ spl2_31
| ~ spl2_104
| ~ spl2_105 ),
inference(avatar_contradiction_clause,[],[f19536]) ).
thf(f19539,plain,
( $false
| ~ spl2_104
| ~ spl2_105
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f19533]) ).
thf(f19540,plain,
( ~ spl2_104
| ~ spl2_105
| ~ spl2_231 ),
inference(avatar_contradiction_clause,[],[f19539]) ).
thf(f19650,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_254
| ~ spl2_388 ),
inference(constrained_superposition,[],[f13619,f6035]) ).
thf(f19654,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_254
| ~ spl2_388 ),
inference(trivial_inequality_removal,[],[f19650]) ).
thf(f19655,plain,
( $false
| ~ spl2_211
| ~ spl2_254
| ~ spl2_388 ),
inference(forward_subsumption_resolution,[],[f19654,f5782]) ).
thf(f19656,plain,
( ~ spl2_211
| ~ spl2_254
| ~ spl2_388 ),
inference(avatar_contradiction_clause,[],[f19655]) ).
thf(f19679,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_267 ),
inference(constrained_superposition,[],[f169,f6612]) ).
thf(f19682,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f19679]) ).
thf(f19685,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_73
| ~ spl2_267 ),
inference(constrained_superposition,[],[f19682,f2423]) ).
thf(f19688,plain,
( $false
| ~ spl2_14
| ~ spl2_73
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f19685]) ).
thf(f19689,plain,
( ~ spl2_14
| ~ spl2_73
| ~ spl2_267 ),
inference(avatar_contradiction_clause,[],[f19688]) ).
thf(f19758,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_412 ),
inference(constrained_superposition,[],[f17236,f3929]) ).
thf(f19761,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f19758]) ).
thf(f19763,plain,
( $false
| ~ spl2_134
| ~ spl2_139
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f19761,f3996]) ).
thf(f19764,plain,
( ~ spl2_134
| ~ spl2_139
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f19763]) ).
thf(f19797,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_162
| ~ spl2_392 ),
inference(constrained_superposition,[],[f13822,f5007]) ).
thf(f19800,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_162
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f19797]) ).
thf(f19802,plain,
( $false
| ~ spl2_162
| ~ spl2_176
| ~ spl2_392 ),
inference(forward_subsumption_resolution,[],[f19800,f5360]) ).
thf(f19803,plain,
( ~ spl2_162
| ~ spl2_176
| ~ spl2_392 ),
inference(avatar_contradiction_clause,[],[f19802]) ).
thf(f19822,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_121
| ~ spl2_392 ),
inference(constrained_superposition,[],[f13822,f3569]) ).
thf(f19824,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_121
| ~ spl2_392 ),
inference(trivial_inequality_removal,[],[f19822]) ).
thf(f19826,plain,
( $false
| ~ spl2_121
| ~ spl2_139
| ~ spl2_392 ),
inference(forward_subsumption_resolution,[],[f19824,f3996]) ).
thf(f19827,plain,
( ~ spl2_121
| ~ spl2_139
| ~ spl2_392 ),
inference(avatar_contradiction_clause,[],[f19826]) ).
thf(f19875,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_104 ),
inference(constrained_superposition,[],[f304,f3100]) ).
thf(f19884,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f19875]) ).
thf(f19885,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_27
| ~ spl2_104 ),
inference(constrained_superposition,[],[f19884,f1753]) ).
thf(f19887,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_27
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f19885]) ).
thf(f19898,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_85
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17335,f2506]) ).
thf(f19901,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_85
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f19898]) ).
thf(f19905,plain,
( ~ spl2_16
| ~ spl2_85
| ~ spl2_414 ),
inference(avatar_split_clause,[],[f19901,f17334,f2505,f200]) ).
thf(f19906,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_104 ),
inference(forward_subsumption_resolution,[],[f19887,f41]) ).
thf(f19907,plain,
( spl2_16
| spl2_198
| spl2_130
| ~ spl2_27
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f19906,f3099,f303,f3760,f5731,f200]) ).
thf(f19983,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_104
| ~ spl2_105 ),
inference(constrained_superposition,[],[f3175,f3100]) ).
thf(f19985,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_104
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f19983]) ).
thf(f19990,plain,
( ( $true != $true )
| ~ spl2_104
| ~ spl2_105
| ~ spl2_196 ),
inference(constrained_superposition,[],[f19985,f5725]) ).
thf(f19991,plain,
( $false
| ~ spl2_104
| ~ spl2_105
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f19990]) ).
thf(f19992,plain,
( ~ spl2_104
| ~ spl2_105
| ~ spl2_196 ),
inference(avatar_contradiction_clause,[],[f19991]) ).
thf(f19996,plain,
( spl2_80
| spl2_200
| spl2_196
| spl2_28
| spl2_30 ),
inference(avatar_split_clause,[],[f17269,f319,f306,f5724,f5738,f2486]) ).
thf(f20039,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_73
| ~ spl2_412 ),
inference(constrained_superposition,[],[f17236,f2423]) ).
thf(f20041,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_73
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f20039]) ).
thf(f20116,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_401 ),
inference(constrained_superposition,[],[f14727,f81]) ).
thf(f20126,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_401 ),
inference(trivial_inequality_removal,[],[f20116]) ).
thf(f20130,plain,
( spl2_194
| ~ spl2_37
| ~ spl2_401 ),
inference(avatar_split_clause,[],[f20126,f14726,f390,f5715]) ).
thf(f20178,plain,
( $false
| ~ spl2_73
| ~ spl2_130
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f20041,f3761]) ).
thf(f20179,plain,
( ~ spl2_73
| ~ spl2_130
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f20178]) ).
thf(f20225,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_75
| ~ spl2_404 ),
inference(constrained_superposition,[],[f15921,f2430]) ).
thf(f20230,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_75
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f20225]) ).
thf(f20234,plain,
( $false
| ~ spl2_75
| ~ spl2_219
| ~ spl2_404 ),
inference(forward_subsumption_resolution,[],[f20230,f5816]) ).
thf(f20235,plain,
( ~ spl2_75
| ~ spl2_219
| ~ spl2_404 ),
inference(avatar_contradiction_clause,[],[f20234]) ).
thf(f20299,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f65,f2437]) ).
thf(f20320,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f20299]) ).
thf(f20329,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f65,f2444]) ).
thf(f20330,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f63,f2444]) ).
thf(f20350,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f20330]) ).
thf(f20351,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f20329]) ).
thf(f20382,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_280
| ~ spl2_412 ),
inference(constrained_superposition,[],[f17236,f7433]) ).
thf(f20385,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_280
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f20382]) ).
thf(f20395,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f2533,f82]) ).
thf(f20401,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f20395]) ).
thf(f20449,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_290
| ~ spl2_393 ),
inference(constrained_superposition,[],[f13924,f7961]) ).
thf(f20454,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_290
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f20449]) ).
thf(f20457,plain,
( $false
| ~ spl2_219
| ~ spl2_290
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f20454,f5816]) ).
thf(f20458,plain,
( ~ spl2_219
| ~ spl2_290
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f20457]) ).
thf(f20463,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f96,f4275]) ).
thf(f20465,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f65,f4275]) ).
thf(f20466,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f63,f4275]) ).
thf(f20469,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_143
| ~ spl2_228 ),
inference(constrained_superposition,[],[f5855,f4275]) ).
thf(f20479,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_143
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f20469]) ).
thf(f20481,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f20465]) ).
thf(f20483,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f20466]) ).
thf(f20486,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f20463]) ).
thf(f20491,plain,
( ~ spl2_230
| ~ spl2_143
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f20479,f5854,f4274,f5864]) ).
thf(f20529,plain,
( $false
| ~ spl2_176
| ~ spl2_280
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f5360,f20385]) ).
thf(f20530,plain,
( ~ spl2_176
| ~ spl2_280
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f20529]) ).
thf(f20556,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f65,f4285]) ).
thf(f20557,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f63,f4285]) ).
thf(f20564,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f20556]) ).
thf(f20572,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f20557]) ).
thf(f20579,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_432 ),
inference(constrained_superposition,[],[f18755,f230]) ).
thf(f20586,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_432 ),
inference(trivial_inequality_removal,[],[f20579]) ).
thf(f20588,definition,
( spl2_434
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_434])],[avatar_definition]) ).
thf(f20589,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_434 ),
inference(avatar_component_clause,[],[f20588]) ).
thf(f20593,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_432 ),
inference(forward_subsumption_resolution,[],[f20586,f41]) ).
thf(f20594,plain,
( spl2_434
| spl2_432 ),
inference(avatar_split_clause,[],[f20593,f18754,f20588]) ).
thf(f20599,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_94
| ~ spl2_108 ),
inference(constrained_superposition,[],[f2568,f3228]) ).
thf(f20600,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_94
| ~ spl2_198 ),
inference(constrained_superposition,[],[f2568,f5732]) ).
thf(f20602,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f20599]) ).
thf(f20606,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f20600]) ).
thf(f20607,plain,
( $false
| ~ spl2_94
| ~ spl2_198
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f20606,f5816]) ).
thf(f20608,plain,
( ~ spl2_94
| ~ spl2_198
| ~ spl2_219 ),
inference(avatar_contradiction_clause,[],[f20607]) ).
thf(f20610,plain,
( spl2_228
| spl2_139
| ~ spl2_205
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f20350,f2443,f5758,f3995,f5854]) ).
thf(f20611,plain,
( ~ spl2_205
| spl2_211
| spl2_176
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f20481,f4274,f5359,f5781,f5758]) ).
thf(f20613,plain,
( spl2_130
| ~ spl2_230
| spl2_240
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f20572,f4284,f5917,f5864,f3760]) ).
thf(f20614,plain,
( ~ spl2_205
| spl2_228
| spl2_176
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f20483,f4274,f5359,f5854,f5758]) ).
thf(f20616,plain,
( ~ spl2_205
| spl2_139
| spl2_201
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f20351,f2443,f5743,f3995,f5758]) ).
thf(f20647,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_108 ),
inference(constrained_superposition,[],[f20602,f1753]) ).
thf(f20649,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_94
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f20647]) ).
thf(f20651,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_94
| ~ spl2_108 ),
inference(forward_subsumption_resolution,[],[f20649,f41]) ).
thf(f20653,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_94
| ~ spl2_108
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f20651,f20606]) ).
thf(f20654,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_94
| ~ spl2_108
| ~ spl2_198
| spl2_200 ),
inference(forward_subsumption_resolution,[],[f20653,f13418]) ).
thf(f20655,plain,
( $false
| spl2_16
| ~ spl2_94
| ~ spl2_108
| ~ spl2_198
| spl2_200 ),
inference(forward_subsumption_resolution,[],[f20654,f8254]) ).
thf(f20656,plain,
( spl2_16
| ~ spl2_94
| ~ spl2_108
| ~ spl2_198
| spl2_200 ),
inference(avatar_contradiction_clause,[],[f20655]) ).
thf(f20657,plain,
( ~ spl2_37
| spl2_108
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f20401,f2532,f3227,f390]) ).
thf(f20662,plain,
( spl2_191
| ~ spl2_84
| spl2_192
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f20486,f4274,f5703,f2501,f5700]) ).
thf(f20737,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_220
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5842,f5819]) ).
thf(f20739,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_220
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f20737]) ).
thf(f20745,plain,
( ( $true != $true )
| ~ spl2_75
| ~ spl2_220
| ~ spl2_225 ),
inference(constrained_superposition,[],[f20739,f2430]) ).
thf(f20746,plain,
( ( $true != $true )
| ~ spl2_147
| ~ spl2_220
| ~ spl2_225 ),
inference(constrained_superposition,[],[f20739,f4291]) ).
thf(f20747,plain,
( ( $true != $true )
| ~ spl2_220
| ~ spl2_225
| ~ spl2_290 ),
inference(constrained_superposition,[],[f20739,f7961]) ).
thf(f20748,plain,
( $false
| ~ spl2_75
| ~ spl2_220
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f20745]) ).
thf(f20749,plain,
( ~ spl2_75
| ~ spl2_220
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f20748]) ).
thf(f20752,plain,
( $false
| ~ spl2_147
| ~ spl2_220
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f20746]) ).
thf(f20753,plain,
( ~ spl2_147
| ~ spl2_220
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f20752]) ).
thf(f20754,plain,
( $false
| ~ spl2_220
| ~ spl2_225
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f20747]) ).
thf(f20755,plain,
( ~ spl2_220
| ~ spl2_225
| ~ spl2_290 ),
inference(avatar_contradiction_clause,[],[f20754]) ).
thf(f20760,plain,
( spl2_198
| ~ spl2_199
| spl2_130
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f20320,f2436,f3760,f5734,f5731]) ).
thf(f20761,plain,
( spl2_130
| spl2_198
| ~ spl2_230
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f20564,f4284,f5864,f5731,f3760]) ).
thf(f20789,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_196 ),
inference(constrained_superposition,[],[f28,f5725]) ).
thf(f20790,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f20789]) ).
thf(f21036,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f31,f4294]) ).
thf(f21045,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f21036]) ).
thf(f21106,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_130
| ~ spl2_268 ),
inference(constrained_superposition,[],[f6624,f3761]) ).
thf(f21113,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_130
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f21106]) ).
thf(f21126,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_401 ),
inference(constrained_superposition,[],[f14727,f51]) ).
thf(f21130,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_401 ),
inference(trivial_inequality_removal,[],[f21126]) ).
thf(f21252,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_144
| ~ spl2_236 ),
inference(constrained_superposition,[],[f5899,f4278]) ).
thf(f21256,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_144
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f21252]) ).
thf(f21259,plain,
( $false
| ~ spl2_144
| ~ spl2_162
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f21256,f5007]) ).
thf(f21260,plain,
( ~ spl2_144
| ~ spl2_162
| ~ spl2_236 ),
inference(avatar_contradiction_clause,[],[f21259]) ).
thf(f21279,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_100
| ~ spl2_290 ),
inference(constrained_superposition,[],[f3048,f7961]) ).
thf(f21280,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_290
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17335,f7961]) ).
thf(f21282,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_290
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f21280]) ).
thf(f21283,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_100
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f21279]) ).
thf(f21300,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_100
| ~ spl2_290 ),
inference(constrained_superposition,[],[f21283,f1753]) ).
thf(f21302,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_100
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f21300]) ).
thf(f21304,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_19
| ~ spl2_100
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f21302,f2007]) ).
thf(f21306,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_19
| ~ spl2_100
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f21304,f41]) ).
thf(f21307,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_16
| spl2_19
| ~ spl2_100
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f21306,f8254]) ).
thf(f21308,plain,
( $false
| spl2_16
| spl2_19
| ~ spl2_100
| ~ spl2_290
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f21307,f21282]) ).
thf(f21309,plain,
( spl2_16
| spl2_19
| ~ spl2_100
| ~ spl2_290
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f21308]) ).
thf(f21315,plain,
( spl2_219
| ~ spl2_36
| ~ spl2_401 ),
inference(avatar_split_clause,[],[f21130,f14726,f386,f5815]) ).
thf(f21320,plain,
( ~ spl2_16
| ~ spl2_130
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f21113,f6623,f3760,f200]) ).
thf(f21323,plain,
( spl2_388
| spl2_7
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f20790,f5724,f115,f13618]) ).
thf(f21340,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_7
| ~ spl2_130 ),
inference(constrained_superposition,[],[f116,f3761]) ).
thf(f21342,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_7
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f21340]) ).
thf(f21448,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_80 ),
inference(constrained_superposition,[],[f304,f2487]) ).
thf(f21456,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f21448]) ).
thf(f21458,plain,
( $false
| ~ spl2_27
| ~ spl2_80
| ~ spl2_194 ),
inference(forward_subsumption_resolution,[],[f21456,f5716]) ).
thf(f21459,plain,
( ~ spl2_27
| ~ spl2_80
| ~ spl2_194 ),
inference(avatar_contradiction_clause,[],[f21458]) ).
thf(f21467,plain,
( $false
| ~ spl2_7
| ~ spl2_73
| ~ spl2_130 ),
inference(forward_subsumption_resolution,[],[f2423,f21342]) ).
thf(f21468,plain,
( ~ spl2_7
| ~ spl2_73
| ~ spl2_130 ),
inference(avatar_contradiction_clause,[],[f21467]) ).
thf(f21526,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f5855,f82]) ).
thf(f21531,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f21526]) ).
thf(f21584,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_76 ),
inference(constrained_superposition,[],[f28,f2434]) ).
thf(f21586,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f21584]) ).
thf(f21587,plain,
( spl2_115
| spl2_105
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f21586,f2433,f3174,f3490]) ).
thf(f21623,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f63,f7958]) ).
thf(f21635,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f21623]) ).
thf(f21704,definition,
( spl2_439
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_439])],[avatar_definition]) ).
thf(f21705,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_439 ),
inference(avatar_component_clause,[],[f21704]) ).
thf(f21818,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f5690,f233]) ).
thf(f21832,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f21818]) ).
thf(f21833,plain,
( ~ spl2_22
| spl2_162
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f21832,f5689,f5006,f276]) ).
thf(f21847,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_265
| ~ spl2_280 ),
inference(constrained_superposition,[],[f6499,f7433]) ).
thf(f21850,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_265
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f21847]) ).
thf(f21854,plain,
( $false
| ~ spl2_191
| ~ spl2_265
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f21850,f5701]) ).
thf(f21855,plain,
( ~ spl2_191
| ~ spl2_265
| ~ spl2_280 ),
inference(avatar_contradiction_clause,[],[f21854]) ).
thf(f21868,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f65,f7954]) ).
thf(f21885,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f21868]) ).
thf(f22339,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f5879,f81]) ).
thf(f22349,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f22339]) ).
thf(f22390,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f5778,f81]) ).
thf(f22392,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f5778,f232]) ).
thf(f22406,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f22392]) ).
thf(f22409,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f22390]) ).
thf(f22476,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_256 ),
inference(constrained_superposition,[],[f6048,f51]) ).
thf(f22483,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_256 ),
inference(trivial_inequality_removal,[],[f22476]) ).
thf(f22489,plain,
( ~ spl2_36
| spl2_139
| ~ spl2_129
| ~ spl2_256 ),
inference(avatar_split_clause,[],[f22483,f6047,f3757,f3995,f386]) ).
thf(f22575,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f6044,f51]) ).
thf(f22585,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f22575]) ).
thf(f22589,plain,
( spl2_139
| ~ spl2_138
| ~ spl2_36
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f22585,f6043,f386,f3992,f3995]) ).
thf(f22608,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_302 ),
inference(constrained_superposition,[],[f8125,f51]) ).
thf(f22615,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f22608]) ).
thf(f22619,plain,
( ~ spl2_36
| ~ spl2_129
| spl2_176
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f22615,f8124,f5359,f3757,f386]) ).
thf(f22632,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_198 ),
inference(avatar_component_clause,[],[f5731]) ).
thf(f22660,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_211
| ~ spl2_284 ),
inference(constrained_superposition,[],[f7717,f5782]) ).
thf(f22664,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_211
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f22660]) ).
thf(f22738,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_115
| ~ spl2_152 ),
inference(constrained_superposition,[],[f3491,f4323]) ).
thf(f22739,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_152
| ~ spl2_245 ),
inference(constrained_superposition,[],[f5952,f4323]) ).
thf(f22744,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_115
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f22738]) ).
thf(f22746,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_152
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f22739]) ).
thf(f22751,plain,
( $false
| ~ spl2_115
| ~ spl2_145
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f22744,f4282]) ).
thf(f22752,plain,
( ~ spl2_115
| ~ spl2_145
| ~ spl2_152 ),
inference(avatar_contradiction_clause,[],[f22751]) ).
thf(f22753,plain,
( $false
| ~ spl2_152
| ~ spl2_162
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f22746,f5007]) ).
thf(f22754,plain,
( ~ spl2_152
| ~ spl2_162
| ~ spl2_245 ),
inference(avatar_contradiction_clause,[],[f22753]) ).
thf(f22772,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_151
| ~ spl2_241 ),
inference(constrained_superposition,[],[f5924,f4320]) ).
thf(f22780,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_151 ),
inference(constrained_superposition,[],[f63,f4320]) ).
thf(f22788,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_151
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f22772]) ).
thf(f22799,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f22780]) ).
thf(f22820,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_151
| ~ spl2_364 ),
inference(constrained_superposition,[],[f10910,f4320]) ).
thf(f22823,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_151
| ~ spl2_364 ),
inference(trivial_inequality_removal,[],[f22820]) ).
thf(f22839,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_304 ),
inference(constrained_superposition,[],[f8147,f51]) ).
thf(f22846,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f22839]) ).
thf(f22849,plain,
( spl2_176
| ~ spl2_129
| ~ spl2_12
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f22846,f8146,f154,f3757,f5359]) ).
thf(f22874,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_195 ),
inference(constrained_superposition,[],[f5721,f51]) ).
thf(f22882,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f22874]) ).
thf(f22885,plain,
( spl2_176
| ~ spl2_36
| ~ spl2_138
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f22882,f5720,f3992,f386,f5359]) ).
thf(f22930,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_359 ),
inference(constrained_superposition,[],[f10215,f81]) ).
thf(f22932,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_359 ),
inference(constrained_superposition,[],[f10215,f232]) ).
thf(f22940,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_359 ),
inference(trivial_inequality_removal,[],[f22930]) ).
thf(f22943,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_359 ),
inference(trivial_inequality_removal,[],[f22932]) ).
thf(f22952,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_234 ),
inference(constrained_superposition,[],[f5889,f51]) ).
thf(f22960,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f22952]) ).
thf(f22963,plain,
( spl2_176
| ~ spl2_36
| ~ spl2_179
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f22960,f5888,f5423,f386,f5359]) ).
thf(f23090,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f21045,f4294]) ).
thf(f23091,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_148
| ~ spl2_149 ),
inference(constrained_superposition,[],[f21045,f4313]) ).
thf(f23092,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148
| ~ spl2_296 ),
inference(constrained_superposition,[],[f21045,f7996]) ).
thf(f23093,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f21045,f51]) ).
thf(f23094,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_148
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f23092]) ).
thf(f23096,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f23090]) ).
thf(f23099,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f23093]) ).
thf(f23100,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f23091]) ).
thf(f23105,definition,
( spl2_448
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_448])],[avatar_definition]) ).
thf(f23106,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_448 ),
inference(avatar_component_clause,[],[f23105]) ).
thf(f23107,plain,
( spl2_448
| ~ spl2_432
| ~ spl2_148
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f23094,f7995,f4293,f18754,f23105]) ).
thf(f23109,definition,
( spl2_449
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_449])],[avatar_definition]) ).
thf(f23110,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_449 ),
inference(avatar_component_clause,[],[f23109]) ).
thf(f23111,plain,
( ~ spl2_131
| spl2_449
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f23096,f4293,f23109,f3764]) ).
thf(f23113,plain,
( ~ spl2_129
| spl2_139
| spl2_184
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f23099,f4293,f5493,f3995,f3757]) ).
thf(f23114,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148
| ~ spl2_149
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f23100,f7954]) ).
thf(f23119,plain,
( spl2_182
| ~ spl2_148
| ~ spl2_149
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f23114,f5489,f4312,f4293,f5486]) ).
thf(f23121,plain,
( ~ spl2_199
| spl2_176
| spl2_239
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f22799,f4319,f5911,f5359,f5734]) ).
thf(f23126,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_132
| ~ spl2_151
| ~ spl2_364 ),
inference(forward_subsumption_resolution,[],[f22823,f4287]) ).
thf(f23130,plain,
( ~ spl2_199
| ~ spl2_132
| ~ spl2_151
| ~ spl2_364 ),
inference(avatar_split_clause,[],[f23126,f10909,f4319,f3768,f5734]) ).
thf(f23162,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f65,f2420]) ).
thf(f23184,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f23162]) ).
thf(f23200,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_78
| ~ spl2_105 ),
inference(constrained_superposition,[],[f3175,f2441]) ).
thf(f23204,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_78
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f23200]) ).
thf(f23210,plain,
( ( $true != $true )
| ~ spl2_76
| ~ spl2_78
| ~ spl2_105 ),
inference(constrained_superposition,[],[f23204,f2434]) ).
thf(f23213,plain,
( $false
| ~ spl2_76
| ~ spl2_78
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f23210]) ).
thf(f23214,plain,
( ~ spl2_76
| ~ spl2_78
| ~ spl2_105 ),
inference(avatar_contradiction_clause,[],[f23213]) ).
thf(f23217,plain,
( $false
| ~ spl2_29
| ~ spl2_139 ),
inference(forward_subsumption_resolution,[],[f3996,f310]) ).
thf(f23218,plain,
( ~ spl2_29
| ~ spl2_139 ),
inference(avatar_contradiction_clause,[],[f23217]) ).
thf(f23221,plain,
( ~ spl2_199
| ~ spl2_77
| ~ spl2_151
| ~ spl2_241 ),
inference(avatar_split_clause,[],[f22788,f5923,f4319,f2436,f5734]) ).
thf(f23227,plain,
( spl2_108
| ~ spl2_4
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f21531,f5854,f98,f3227]) ).
thf(f23229,plain,
( ~ spl2_431
| ~ spl2_4
| spl2_187
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f22409,f5777,f5686,f98,f18675]) ).
thf(f23230,plain,
( ~ spl2_433
| ~ spl2_4
| spl2_325
| ~ spl2_359 ),
inference(avatar_split_clause,[],[f22940,f10214,f9208,f98,f18933]) ).
thf(f23231,plain,
( spl2_187
| ~ spl2_4
| ~ spl2_403
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f22349,f5878,f15860,f98,f5686]) ).
thf(f23296,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f169,f1753]) ).
thf(f23298,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f23296]) ).
thf(f23299,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_14
| spl2_16 ),
inference(forward_subsumption_resolution,[],[f23298,f8254]) ).
thf(f23300,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_14
| spl2_16 ),
inference(forward_subsumption_resolution,[],[f23299,f116]) ).
thf(f23301,plain,
( spl2_384
| ~ spl2_7
| ~ spl2_14
| spl2_16 ),
inference(avatar_split_clause,[],[f23300,f200,f168,f115,f13600]) ).
thf(f23319,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_126
| ~ spl2_139 ),
inference(constrained_superposition,[],[f3653,f3996]) ).
thf(f23321,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_7
| ~ spl2_139 ),
inference(constrained_superposition,[],[f116,f3996]) ).
thf(f23323,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_126
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f23319]) ).
thf(f23325,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_7
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f23321]) ).
thf(f23327,plain,
( $false
| ~ spl2_126
| ~ spl2_139
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f23323,f5732]) ).
thf(f23328,plain,
( ~ spl2_126
| ~ spl2_139
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f23327]) ).
thf(f23376,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_433 ),
inference(constrained_superposition,[],[f18934,f81]) ).
thf(f23380,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_433 ),
inference(trivial_inequality_removal,[],[f23376]) ).
thf(f23400,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_239 ),
inference(constrained_superposition,[],[f5912,f233]) ).
thf(f23402,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_239 ),
inference(constrained_superposition,[],[f5912,f82]) ).
thf(f23407,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f23400]) ).
thf(f23413,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f23402]) ).
thf(f23419,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_7
| ~ spl2_139
| ~ spl2_239 ),
inference(forward_subsumption_resolution,[],[f23413,f23325]) ).
thf(f23422,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_139
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f23419,f5911,f3995,f115,f98]) ).
thf(f23424,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_7
| ~ spl2_139
| ~ spl2_239 ),
inference(forward_subsumption_resolution,[],[f23407,f23325]) ).
thf(f23425,plain,
( ~ spl2_24
| ~ spl2_7
| ~ spl2_139
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f23424,f5911,f3995,f115,f283]) ).
thf(f23432,plain,
( ~ spl2_205
| spl2_200
| spl2_219
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f23184,f2419,f5815,f5738,f5758]) ).
thf(f23441,plain,
( spl2_187
| spl2_433 ),
inference(avatar_split_clause,[],[f23380,f18933,f5686]) ).
thf(f23450,plain,
( ~ spl2_24
| spl2_246
| ~ spl2_140
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f22406,f5777,f4000,f5955,f283]) ).
thf(f23453,plain,
( spl2_328
| ~ spl2_181
| ~ spl2_24
| ~ spl2_359 ),
inference(avatar_split_clause,[],[f22943,f10214,f283,f5432,f9220]) ).
thf(f23462,plain,
( spl2_214
| ~ spl2_202
| spl2_176
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f21635,f7957,f5359,f5746,f5795]) ).
thf(f23476,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_219
| ~ spl2_265 ),
inference(constrained_superposition,[],[f6499,f5816]) ).
thf(f23479,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_219
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f23476]) ).
thf(f23507,plain,
( $false
| ~ spl2_130
| ~ spl2_211
| ~ spl2_284 ),
inference(forward_subsumption_resolution,[],[f22664,f3761]) ).
thf(f23508,plain,
( ~ spl2_130
| ~ spl2_211
| ~ spl2_284 ),
inference(avatar_contradiction_clause,[],[f23507]) ).
thf(f23531,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f65,f2526]) ).
thf(f23533,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f58,f2526]) ).
thf(f23541,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f23533]) ).
thf(f23548,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f23531]) ).
thf(f23564,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_431 ),
inference(constrained_superposition,[],[f18676,f25]) ).
thf(f23565,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_431 ),
inference(trivial_inequality_removal,[],[f23564]) ).
thf(f23617,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f58,f2427]) ).
thf(f23635,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f23617]) ).
thf(f23800,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_147
| ~ spl2_398 ),
inference(constrained_superposition,[],[f14356,f4291]) ).
thf(f23805,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_147
| ~ spl2_398 ),
inference(trivial_inequality_removal,[],[f23800]) ).
thf(f23810,plain,
( $false
| ~ spl2_147
| ~ spl2_219
| ~ spl2_398 ),
inference(forward_subsumption_resolution,[],[f23805,f5816]) ).
thf(f23811,plain,
( ~ spl2_147
| ~ spl2_219
| ~ spl2_398 ),
inference(avatar_contradiction_clause,[],[f23810]) ).
thf(f23812,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_148
| ~ spl2_210 ),
inference(constrained_superposition,[],[f5778,f4294]) ).
thf(f23829,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_148
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f23812]) ).
thf(f23842,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_74
| ~ spl2_148
| ~ spl2_210 ),
inference(forward_subsumption_resolution,[],[f23829,f2427]) ).
thf(f23846,plain,
( ~ spl2_202
| ~ spl2_74
| ~ spl2_148
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f23842,f5777,f4293,f2426,f5746]) ).
thf(f23852,plain,
( spl2_198
| spl2_312
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f23635,f2426,f8367,f5731]) ).
thf(f23873,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_108
| ~ spl2_390 ),
inference(constrained_superposition,[],[f13658,f3228]) ).
thf(f23876,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_108
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f23873]) ).
thf(f23915,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_77
| ~ spl2_223 ),
inference(constrained_superposition,[],[f5834,f2437]) ).
thf(f23941,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_77
| ~ spl2_223 ),
inference(trivial_inequality_removal,[],[f23915]) ).
thf(f23946,plain,
( ~ spl2_116
| spl2_104
| ~ spl2_117
| ~ spl2_77
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f23941,f5833,f2436,f3544,f3099,f3541]) ).
thf(f23964,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_196
| ~ spl2_262 ),
inference(constrained_superposition,[],[f6349,f5725]) ).
thf(f23967,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_196
| ~ spl2_262 ),
inference(trivial_inequality_removal,[],[f23964]) ).
thf(f23991,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_412 ),
inference(constrained_superposition,[],[f17236,f3929]) ).
thf(f23992,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_265 ),
inference(constrained_superposition,[],[f6499,f3929]) ).
thf(f23995,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f23991]) ).
thf(f23998,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f23992]) ).
thf(f24005,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_134
| ~ spl2_265 ),
inference(constrained_superposition,[],[f23998,f1753]) ).
thf(f24008,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f24005]) ).
thf(f24010,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_78
| ~ spl2_390 ),
inference(constrained_superposition,[],[f13658,f2441]) ).
thf(f24012,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f28,f2441]) ).
thf(f24013,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_78
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f24010]) ).
thf(f24015,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f24012]) ).
thf(f24016,plain,
( $false
| ~ spl2_78
| ~ spl2_201
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f24013,f5744]) ).
thf(f24017,plain,
( ~ spl2_78
| ~ spl2_201
| ~ spl2_390 ),
inference(avatar_contradiction_clause,[],[f24016]) ).
thf(f24018,plain,
( spl2_126
| spl2_127
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f24015,f2440,f3655,f3652]) ).
thf(f24020,plain,
( ~ spl2_16
| ~ spl2_219
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f23479,f6498,f5815,f200]) ).
thf(f24021,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_92
| spl2_431 ),
inference(forward_subsumption_resolution,[],[f23565,f7886]) ).
thf(f24024,plain,
( ~ spl2_16
| ~ spl2_108
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f23876,f13657,f3227,f200]) ).
thf(f24025,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f24008,f41]) ).
thf(f24029,plain,
( spl2_267
| spl2_92
| spl2_431 ),
inference(avatar_split_clause,[],[f24021,f18675,f2528,f6611]) ).
thf(f24030,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_134
| ~ spl2_265
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f24025,f23995]) ).
thf(f24031,plain,
( spl2_16
| spl2_201
| ~ spl2_134
| ~ spl2_265
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f24030,f17235,f6498,f3928,f5743,f200]) ).
thf(f24077,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_108 ),
inference(constrained_superposition,[],[f10189,f1753]) ).
thf(f24079,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_108 ),
inference(trivial_inequality_removal,[],[f24077]) ).
thf(f24090,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_124
| ~ spl2_386 ),
inference(constrained_superposition,[],[f13609,f3627]) ).
thf(f24092,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_124
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f24090]) ).
thf(f24094,plain,
( $false
| ~ spl2_16
| ~ spl2_124
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f24092,f201]) ).
thf(f24095,plain,
( ~ spl2_16
| ~ spl2_124
| ~ spl2_386 ),
inference(avatar_contradiction_clause,[],[f24094]) ).
thf(f24097,plain,
( ~ spl2_19
| ~ spl2_196
| ~ spl2_262 ),
inference(avatar_split_clause,[],[f23967,f6348,f5724,f210]) ).
thf(f24098,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_108 ),
inference(forward_subsumption_resolution,[],[f24079,f41]) ).
thf(f24100,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_108
| spl2_198 ),
inference(forward_subsumption_resolution,[],[f24098,f22632]) ).
thf(f24102,plain,
( spl2_19
| spl2_16
| spl2_108
| spl2_198 ),
inference(avatar_split_clause,[],[f24100,f5731,f3227,f200,f210]) ).
thf(f24109,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_412 ),
inference(constrained_superposition,[],[f17236,f5716]) ).
thf(f24113,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f24109]) ).
thf(f24116,plain,
( $false
| ~ spl2_19
| ~ spl2_194
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f24113,f211]) ).
thf(f24117,plain,
( ~ spl2_19
| ~ spl2_194
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f24116]) ).
thf(f24118,plain,
( spl2_200
| ~ spl2_24
| spl2_219
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f23548,f2525,f5815,f283,f5738]) ).
thf(f24121,plain,
( spl2_200
| spl2_218
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f23541,f2525,f5811,f5738]) ).
thf(f24122,plain,
( spl2_200
| ~ spl2_230
| spl2_219
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f21885,f5489,f5815,f5864,f5738]) ).
thf(f24137,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| ~ spl2_30
| spl2_87 ),
inference(constrained_superposition,[],[f4240,f320]) ).
thf(f24208,plain,
( $false
| ~ spl2_30
| spl2_87 ),
inference(forward_subsumption_resolution,[],[f24137,f320]) ).
thf(f24209,plain,
( ~ spl2_30
| spl2_87 ),
inference(avatar_contradiction_clause,[],[f24208]) ).
thf(f24225,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_30 ),
inference(extensionality_resolution,[],[f230,f2316]) ).
thf(f24226,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_30 ),
inference(extensionality_resolution,[],[f230,f2316]) ).
thf(f24228,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_30 ),
inference(extensionality_resolution,[],[f1753,f2316]) ).
thf(f24233,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_30 ),
inference(extensionality_resolution,[],[f83,f2316]) ).
thf(f24234,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_30 ),
inference(extensionality_resolution,[],[f83,f2316]) ).
thf(f24239,plain,
( spl2_73
| spl2_72
| spl2_30 ),
inference(avatar_split_clause,[],[f24233,f319,f2419,f2422]) ).
thf(f24241,plain,
( spl2_78
| spl2_79
| spl2_30 ),
inference(avatar_split_clause,[],[f24226,f319,f2443,f2440]) ).
thf(f24242,plain,
( spl2_77
| spl2_76
| spl2_30 ),
inference(avatar_split_clause,[],[f24225,f319,f2433,f2436]) ).
thf(f24243,plain,
( spl2_220
| spl2_219
| spl2_196
| spl2_200
| spl2_30 ),
inference(avatar_split_clause,[],[f24228,f319,f5738,f5724,f5815,f5818]) ).
thf(f24244,plain,
( spl2_74
| spl2_75
| spl2_30 ),
inference(avatar_split_clause,[],[f24234,f319,f2429,f2426]) ).
thf(f24262,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_96 ),
inference(extensionality_resolution,[],[f230,f4214]) ).
thf(f24263,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_96 ),
inference(extensionality_resolution,[],[f230,f4214]) ).
thf(f24264,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_96 ),
inference(extensionality_resolution,[],[f1753,f4214]) ).
thf(f24265,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_96 ),
inference(extensionality_resolution,[],[f1753,f4214]) ).
thf(f24267,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_96 ),
inference(extensionality_resolution,[],[f256,f4214]) ).
thf(f24270,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_96 ),
inference(extensionality_resolution,[],[f83,f4214]) ).
thf(f24277,plain,
( spl2_219
| spl2_198
| spl2_73
| spl2_200
| spl2_96 ),
inference(avatar_split_clause,[],[f24264,f2583,f5738,f2422,f5731,f5815]) ).
thf(f24278,plain,
( ~ spl2_202
| spl2_130
| spl2_75
| spl2_198
| spl2_96 ),
inference(avatar_split_clause,[],[f24267,f2583,f5731,f2429,f3760,f5746]) ).
thf(f24279,plain,
( spl2_130
| spl2_200
| spl2_75
| spl2_198
| spl2_96 ),
inference(avatar_split_clause,[],[f24265,f2583,f5731,f2429,f5738,f3760]) ).
thf(f24280,plain,
( spl2_152
| spl2_151
| spl2_96 ),
inference(avatar_split_clause,[],[f24263,f2583,f4319,f4322]) ).
thf(f24282,plain,
( spl2_77
| spl2_76
| spl2_96 ),
inference(avatar_split_clause,[],[f24270,f2583,f2433,f2436]) ).
thf(f24284,plain,
( spl2_149
| spl2_150
| spl2_96 ),
inference(avatar_split_clause,[],[f24262,f2583,f4315,f4312]) ).
thf(f24311,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_103 ),
inference(constrained_superposition,[],[f232,f3097]) ).
thf(f24372,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_32
| ~ spl2_103 ),
inference(forward_subsumption_resolution,[],[f24311,f374]) ).
thf(f24375,plain,
( spl2_375
| spl2_32
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f24372,f3096,f373,f12369]) ).
thf(f24377,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_103
| ~ spl2_198 ),
inference(constrained_superposition,[],[f5732,f3097]) ).
thf(f24381,plain,
( spl2_196
| ~ spl2_103
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f24377,f5731,f3096,f5724]) ).
thf(f24419,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_194 ),
inference(constrained_superposition,[],[f119,f5716]) ).
thf(f24421,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f24419]) ).
thf(f24425,plain,
( $false
| ~ spl2_8
| ~ spl2_194
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f24421,f5739]) ).
thf(f24426,plain,
( ~ spl2_8
| ~ spl2_194
| ~ spl2_200 ),
inference(avatar_contradiction_clause,[],[f24425]) ).
thf(f24427,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| spl2_19 ),
inference(constrained_superposition,[],[f2007,f1700]) ).
thf(f24429,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_19 ),
inference(trivial_inequality_removal,[],[f24427]) ).
thf(f24432,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_103 ),
inference(extensionality_resolution,[],[f230,f7889]) ).
thf(f24433,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_103 ),
inference(extensionality_resolution,[],[f230,f7889]) ).
thf(f24434,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_103 ),
inference(extensionality_resolution,[],[f1753,f7889]) ).
thf(f24435,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_103 ),
inference(extensionality_resolution,[],[f1753,f7889]) ).
thf(f24437,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_103 ),
inference(extensionality_resolution,[],[f256,f7889]) ).
thf(f24441,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_103 ),
inference(extensionality_resolution,[],[f83,f7889]) ).
thf(f24446,plain,
( spl2_293
| spl2_294
| spl2_103 ),
inference(avatar_split_clause,[],[f24432,f3096,f7988,f7985]) ).
thf(f24448,plain,
( spl2_145
| spl2_146
| spl2_103 ),
inference(avatar_split_clause,[],[f24441,f3096,f4284,f4281]) ).
thf(f24449,plain,
( spl2_295
| spl2_296
| spl2_103 ),
inference(avatar_split_clause,[],[f24433,f3096,f7995,f7992]) ).
thf(f24522,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_140 ),
inference(constrained_superposition,[],[f4001,f232]) ).
thf(f24524,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_140 ),
inference(constrained_superposition,[],[f4001,f52]) ).
thf(f24528,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_140 ),
inference(trivial_inequality_removal,[],[f24524]) ).
thf(f24529,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_140 ),
inference(trivial_inequality_removal,[],[f24522]) ).
thf(f24532,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_87
| spl2_140 ),
inference(forward_subsumption_resolution,[],[f24528,f4240]) ).
thf(f24533,plain,
( spl2_231
| spl2_140 ),
inference(avatar_split_clause,[],[f24529,f4000,f5873]) ).
thf(f24535,plain,
( spl2_231
| spl2_87
| spl2_140 ),
inference(avatar_split_clause,[],[f24532,f4000,f2512,f5873]) ).
thf(f24544,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_80
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17335,f2487]) ).
thf(f24547,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_80
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f24544]) ).
thf(f24552,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f1602,f2420]) ).
thf(f24553,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f268,f2420]) ).
thf(f24554,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f198,f2420]) ).
thf(f24555,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f96,f2420]) ).
thf(f24557,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f65,f2420]) ).
thf(f24558,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f63,f2420]) ).
thf(f24559,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f58,f2420]) ).
thf(f24565,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f24559]) ).
thf(f24567,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f24555]) ).
thf(f24568,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f24557]) ).
thf(f24569,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f24553]) ).
thf(f24573,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f24552]) ).
thf(f24574,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f24558]) ).
thf(f24575,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f24554]) ).
thf(f24579,plain,
( spl2_228
| ~ spl2_205
| spl2_219
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f24574,f2419,f5815,f5758,f5854]) ).
thf(f24580,plain,
( spl2_86
| spl2_85
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f24575,f2419,f2505,f2508]) ).
thf(f24635,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_181 ),
inference(constrained_superposition,[],[f5433,f232]) ).
thf(f24641,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_181 ),
inference(trivial_inequality_removal,[],[f24635]) ).
thf(f24645,plain,
( spl2_246
| spl2_181 ),
inference(avatar_split_clause,[],[f24641,f5432,f5955]) ).
thf(f24718,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f63,f4294]) ).
thf(f24731,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f24718]) ).
thf(f24766,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_104
| ~ spl2_111 ),
inference(constrained_superposition,[],[f3257,f3100]) ).
thf(f24769,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_104
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f24766]) ).
thf(f24775,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_104
| ~ spl2_111
| ~ spl2_222 ),
inference(constrained_superposition,[],[f24769,f5829]) ).
thf(f24779,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_104
| ~ spl2_111
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f24775]) ).
thf(f24782,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_104
| ~ spl2_111
| ~ spl2_222 ),
inference(forward_subsumption_resolution,[],[f24779,f41]) ).
thf(f24783,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_80
| ~ spl2_104
| ~ spl2_111
| ~ spl2_222
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f24782,f24547]) ).
thf(f24784,plain,
( $false
| spl2_30
| ~ spl2_80
| ~ spl2_104
| ~ spl2_111
| ~ spl2_222
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f24783,f2316]) ).
thf(f24785,plain,
( spl2_30
| ~ spl2_80
| ~ spl2_104
| ~ spl2_111
| ~ spl2_222
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f24784]) ).
thf(f24789,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_200
| ~ spl2_238 ),
inference(constrained_superposition,[],[f5907,f5739]) ).
thf(f24793,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_200
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f24789]) ).
thf(f24809,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f58,f2437]) ).
thf(f24815,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f24809]) ).
thf(f24828,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_77
| spl2_198 ),
inference(forward_subsumption_resolution,[],[f24815,f22632]) ).
thf(f24831,plain,
( spl2_210
| ~ spl2_77
| spl2_198 ),
inference(avatar_split_clause,[],[f24828,f5731,f2436,f5777]) ).
thf(f24840,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f58,f2444]) ).
thf(f24841,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_79
| ~ spl2_228 ),
inference(constrained_superposition,[],[f5855,f2444]) ).
thf(f24854,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_79
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f24841]) ).
thf(f24859,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f24840]) ).
thf(f24862,plain,
( ~ spl2_199
| ~ spl2_79
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f24854,f5854,f2443,f5734]) ).
thf(f24864,plain,
( spl2_210
| spl2_201
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f24859,f2443,f5743,f5777]) ).
thf(f24938,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_238
| ~ spl2_290 ),
inference(constrained_superposition,[],[f5907,f7961]) ).
thf(f24939,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_290
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17335,f7961]) ).
thf(f24941,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_238
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f24938]) ).
thf(f24942,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_290
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f24939]) ).
thf(f24948,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_238
| ~ spl2_290 ),
inference(constrained_superposition,[],[f24941,f1753]) ).
thf(f24950,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_238
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f24948]) ).
thf(f24952,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_80
| ~ spl2_238
| ~ spl2_290
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f24950,f24547]) ).
thf(f24954,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_80
| ~ spl2_200
| ~ spl2_238
| ~ spl2_290
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f24952,f24793]) ).
thf(f24955,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_80
| ~ spl2_200
| ~ spl2_238
| ~ spl2_290
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f24954,f24942]) ).
thf(f24956,plain,
( spl2_142
| ~ spl2_80
| ~ spl2_200
| ~ spl2_238
| ~ spl2_290
| ~ spl2_414 ),
inference(avatar_split_clause,[],[f24955,f17334,f7960,f5906,f5738,f2486,f4252]) ).
thf(f24960,plain,
( $false
| ~ spl2_28
| ~ spl2_200
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f307,f24793]) ).
thf(f24961,plain,
( ~ spl2_28
| ~ spl2_200
| ~ spl2_238 ),
inference(avatar_contradiction_clause,[],[f24960]) ).
thf(f24963,plain,
( spl2_16
| spl2_222
| spl2_19 ),
inference(avatar_split_clause,[],[f24429,f210,f5828,f200]) ).
thf(f24964,plain,
( spl2_93
| ~ spl2_81
| spl2_220
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f24569,f2419,f5818,f2489,f2532]) ).
thf(f25086,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_225
| ~ spl2_231 ),
inference(constrained_superposition,[],[f5842,f5874]) ).
thf(f25088,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_225
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f25086]) ).
thf(f25092,plain,
( ( $true != $true )
| ~ spl2_108
| ~ spl2_225
| ~ spl2_231 ),
inference(constrained_superposition,[],[f25088,f3228]) ).
thf(f25093,plain,
( $false
| ~ spl2_108
| ~ spl2_225
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f25092]) ).
thf(f25094,plain,
( ~ spl2_108
| ~ spl2_225
| ~ spl2_231 ),
inference(avatar_contradiction_clause,[],[f25093]) ).
thf(f25099,plain,
( ~ spl2_202
| spl2_214
| spl2_139
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f24731,f4293,f3995,f5795,f5746]) ).
thf(f25101,plain,
( spl2_200
| spl2_312
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f24565,f2419,f8367,f5738]) ).
thf(f25108,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f28,f201]) ).
thf(f25109,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f25108]) ).
thf(f25110,plain,
( spl2_7
| spl2_8
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f25109,f200,f118,f115]) ).
thf(f25116,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_187 ),
inference(constrained_superposition,[],[f119,f5687]) ).
thf(f25119,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f25116]) ).
thf(f25123,plain,
( $false
| ~ spl2_8
| ~ spl2_187
| ~ spl2_201 ),
inference(forward_subsumption_resolution,[],[f25119,f5744]) ).
thf(f25124,plain,
( ~ spl2_8
| ~ spl2_187
| ~ spl2_201 ),
inference(avatar_contradiction_clause,[],[f25123]) ).
thf(f25125,plain,
( ~ spl2_84
| spl2_192
| spl2_194
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f24567,f2419,f5715,f5703,f2501]) ).
thf(f25185,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_220
| ~ spl2_412 ),
inference(constrained_superposition,[],[f17236,f5819]) ).
thf(f25188,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_220
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f25185]) ).
thf(f25190,plain,
( $false
| ~ spl2_28
| ~ spl2_220
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f25188,f307]) ).
thf(f25191,plain,
( ~ spl2_28
| ~ spl2_220
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f25190]) ).
thf(f25200,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_42 ),
inference(constrained_superposition,[],[f169,f469]) ).
thf(f25203,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f25200]) ).
thf(f25279,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f271,f232]) ).
thf(f25286,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f25279]) ).
thf(f25293,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42 ),
inference(forward_subsumption_resolution,[],[f25286,f25203]) ).
thf(f25318,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42 ),
inference(constrained_superposition,[],[f25293,f82]) ).
thf(f25323,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f25318]) ).
thf(f25325,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42
| spl2_108 ),
inference(constrained_superposition,[],[f10189,f25323]) ).
thf(f25328,plain,
( $false
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42
| spl2_108 ),
inference(trivial_inequality_removal,[],[f25325]) ).
thf(f25329,plain,
( ~ spl2_14
| ~ spl2_20
| ~ spl2_42
| spl2_108 ),
inference(avatar_contradiction_clause,[],[f25328]) ).
thf(f25592,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_148
| ~ spl2_449 ),
inference(constrained_superposition,[],[f23110,f4294]) ).
thf(f25609,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_148
| ~ spl2_449 ),
inference(trivial_inequality_removal,[],[f25592]) ).
thf(f25612,plain,
( $false
| ~ spl2_132
| ~ spl2_148
| ~ spl2_449 ),
inference(forward_subsumption_resolution,[],[f25609,f4287]) ).
thf(f25613,plain,
( ~ spl2_132
| ~ spl2_148
| ~ spl2_449 ),
inference(avatar_contradiction_clause,[],[f25612]) ).
thf(f25717,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_150
| ~ spl2_398 ),
inference(constrained_superposition,[],[f14356,f4316]) ).
thf(f25718,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_150
| ~ spl2_389 ),
inference(constrained_superposition,[],[f13623,f4316]) ).
thf(f25720,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_150
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f25718]) ).
thf(f25722,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_150
| ~ spl2_398 ),
inference(trivial_inequality_removal,[],[f25717]) ).
thf(f25723,plain,
( $false
| ~ spl2_150
| ~ spl2_201
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f25720,f5744]) ).
thf(f25724,plain,
( ~ spl2_150
| ~ spl2_201
| ~ spl2_389 ),
inference(avatar_contradiction_clause,[],[f25723]) ).
thf(f25726,plain,
( $false
| ~ spl2_150
| ~ spl2_176
| ~ spl2_398 ),
inference(forward_subsumption_resolution,[],[f25722,f5360]) ).
thf(f25727,plain,
( ~ spl2_150
| ~ spl2_176
| ~ spl2_398 ),
inference(avatar_contradiction_clause,[],[f25726]) ).
thf(f25755,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_280
| ~ spl2_389 ),
inference(constrained_superposition,[],[f13623,f7433]) ).
thf(f25759,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_280
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f25755]) ).
thf(f25761,plain,
( $false
| ~ spl2_200
| ~ spl2_280
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f25759,f5739]) ).
thf(f25762,plain,
( ~ spl2_200
| ~ spl2_280
| ~ spl2_389 ),
inference(avatar_contradiction_clause,[],[f25761]) ).
thf(f25770,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_105
| ~ spl2_144 ),
inference(constrained_superposition,[],[f3175,f4278]) ).
thf(f25773,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ~ spl2_105
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f25770]) ).
thf(f25776,plain,
( ( $true != $true )
| ~ spl2_105
| ~ spl2_144
| ~ spl2_162 ),
inference(constrained_superposition,[],[f25773,f5007]) ).
thf(f25777,plain,
( ( $true != $true )
| ~ spl2_105
| ~ spl2_144
| ~ spl2_280 ),
inference(constrained_superposition,[],[f25773,f7433]) ).
thf(f25778,plain,
( ( $true != $true )
| ~ spl2_105
| ~ spl2_144
| ~ spl2_160 ),
inference(constrained_superposition,[],[f25773,f5000]) ).
thf(f25779,plain,
( $false
| ~ spl2_105
| ~ spl2_144
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f25778]) ).
thf(f25780,plain,
( ~ spl2_105
| ~ spl2_144
| ~ spl2_160 ),
inference(avatar_contradiction_clause,[],[f25779]) ).
thf(f25782,plain,
( $false
| ~ spl2_105
| ~ spl2_144
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f25776]) ).
thf(f25783,plain,
( ~ spl2_105
| ~ spl2_144
| ~ spl2_162 ),
inference(avatar_contradiction_clause,[],[f25782]) ).
thf(f25785,plain,
( $false
| ~ spl2_105
| ~ spl2_144
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f25777]) ).
thf(f25786,plain,
( ~ spl2_105
| ~ spl2_144
| ~ spl2_280 ),
inference(avatar_contradiction_clause,[],[f25785]) ).
thf(f25788,plain,
( spl2_219
| ~ spl2_205
| spl2_200
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f24568,f2419,f5738,f5758,f5815]) ).
thf(f25798,plain,
( spl2_200
| spl2_134
| ~ spl2_199
| spl2_219
| spl2_103 ),
inference(avatar_split_clause,[],[f24437,f3096,f5815,f5734,f3928,f5738]) ).
thf(f25811,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f28,f5732]) ).
thf(f25812,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f25811]) ).
thf(f25813,plain,
( spl2_7
| spl2_390
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f25812,f5731,f13657,f115]) ).
thf(f25923,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f1674,f2526]) ).
thf(f25944,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f25923]) ).
thf(f25948,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_91
| spl2_200 ),
inference(forward_subsumption_resolution,[],[f25944,f13418]) ).
thf(f25950,plain,
( spl2_227
| ~ spl2_24
| ~ spl2_91
| spl2_200 ),
inference(avatar_split_clause,[],[f25948,f5738,f2525,f283,f5849]) ).
thf(f25951,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_267 ),
inference(constrained_superposition,[],[f28,f6612]) ).
thf(f25952,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f25951]) ).
thf(f25953,plain,
( spl2_105
| spl2_268
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f25952,f6611,f6623,f3174]) ).
thf(f26010,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f1602,f2427]) ).
thf(f26011,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f268,f2427]) ).
thf(f26013,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f96,f2427]) ).
thf(f26016,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f63,f2427]) ).
thf(f26023,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f26013]) ).
thf(f26024,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f26016]) ).
thf(f26032,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f26010]) ).
thf(f26035,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f26011]) ).
thf(f26042,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_231
| ~ spl2_404 ),
inference(constrained_superposition,[],[f15921,f5874]) ).
thf(f26049,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_231
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f26042]) ).
thf(f26063,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f198,f4287]) ).
thf(f26066,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f65,f4287]) ).
thf(f26067,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f63,f4287]) ).
thf(f26068,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f58,f4287]) ).
thf(f26074,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f26067]) ).
thf(f26076,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f26066]) ).
thf(f26081,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f26068]) ).
thf(f26084,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f26063]) ).
thf(f26090,plain,
( spl2_85
| spl2_251
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f26084,f3768,f5976,f2505]) ).
thf(f26132,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_231
| ~ spl2_268 ),
inference(constrained_superposition,[],[f6624,f5874]) ).
thf(f26140,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_231
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f26132]) ).
thf(f26144,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_231
| ~ spl2_268 ),
inference(constrained_superposition,[],[f26140,f1753]) ).
thf(f26146,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_231
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f26144]) ).
thf(f26148,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_16
| ~ spl2_231
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f26146,f8254]) ).
thf(f26154,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_16
| ~ spl2_231
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f26148,f41]) ).
thf(f26160,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_16
| ~ spl2_231
| ~ spl2_268
| ~ spl2_404 ),
inference(forward_subsumption_resolution,[],[f26154,f26049]) ).
thf(f26161,plain,
( spl2_196
| spl2_16
| ~ spl2_231
| ~ spl2_268
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f26160,f15920,f6623,f5873,f200,f5724]) ).
thf(f26168,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_220 ),
inference(constrained_superposition,[],[f28,f5819]) ).
thf(f26170,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f26168]) ).
thf(f26173,plain,
( spl2_95
| spl2_257
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f26170,f5818,f6125,f2570]) ).
thf(f26192,plain,
( ~ spl2_199
| spl2_239
| spl2_219
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f26074,f3768,f5815,f5911,f5734]) ).
thf(f26199,plain,
( spl2_104
| spl2_266
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f26032,f2426,f6605,f3099]) ).
thf(f26200,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_85
| ~ spl2_238 ),
inference(constrained_superposition,[],[f5907,f2506]) ).
thf(f26202,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_85
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f26200]) ).
thf(f26205,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_85
| ~ spl2_238 ),
inference(constrained_superposition,[],[f26202,f1753]) ).
thf(f26207,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_85
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f26205]) ).
thf(f26209,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_85
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f26207,f41]) ).
thf(f26211,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_16
| ~ spl2_85
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f26209,f8254]) ).
thf(f26212,plain,
( spl2_196
| spl2_28
| spl2_16
| ~ spl2_85
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f26211,f5906,f2505,f200,f306,f5724]) ).
thf(f26233,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_222
| ~ spl2_238 ),
inference(constrained_superposition,[],[f5907,f5829]) ).
thf(f26238,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_222
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f26233]) ).
thf(f26241,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_87
| ~ spl2_222
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f26238,f4240]) ).
thf(f26242,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_87
| spl2_200
| ~ spl2_222
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f26241,f13418]) ).
thf(f26243,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_87
| spl2_200
| ~ spl2_222
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f26242,f41]) ).
thf(f26244,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_87
| spl2_200
| ~ spl2_222
| ~ spl2_238 ),
inference(constrained_superposition,[],[f26243,f1753]) ).
thf(f26247,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_87
| spl2_200
| ~ spl2_222
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f26244]) ).
thf(f26249,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_16
| spl2_87
| spl2_200
| ~ spl2_222
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f26247,f8254]) ).
thf(f26250,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_16
| spl2_87
| spl2_200
| ~ spl2_222
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f26249,f41]) ).
thf(f26251,plain,
( spl2_28
| spl2_196
| spl2_16
| spl2_87
| spl2_200
| ~ spl2_222
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f26250,f5906,f5828,f5738,f2512,f200,f5724,f306]) ).
thf(f26252,plain,
( ~ spl2_202
| spl2_214
| spl2_130
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f26024,f2426,f3760,f5795,f5746]) ).
thf(f26287,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_15
| ~ spl2_85 ),
inference(constrained_superposition,[],[f172,f2506]) ).
thf(f26294,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_15
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f26287]) ).
thf(f26300,plain,
( $false
| ~ spl2_15
| ~ spl2_85
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f26294,f5816]) ).
thf(f26301,plain,
( ~ spl2_15
| ~ spl2_85
| ~ spl2_219 ),
inference(avatar_contradiction_clause,[],[f26300]) ).
thf(f26303,plain,
( spl2_232
| spl2_200
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f26081,f3768,f5738,f5878]) ).
thf(f26304,plain,
( ~ spl2_199
| spl2_200
| spl2_219
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f26076,f3768,f5815,f5738,f5734]) ).
thf(f26305,plain,
( spl2_200
| spl2_147
| spl2_139
| spl2_201
| spl2_103 ),
inference(avatar_split_clause,[],[f24434,f3096,f5743,f3995,f4290,f5738]) ).
thf(f26308,plain,
( spl2_134
| spl2_201
| spl2_200
| spl2_219
| spl2_103 ),
inference(avatar_split_clause,[],[f24435,f3096,f5815,f5738,f5743,f3928]) ).
thf(f26310,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f596,f1753]) ).
thf(f26311,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f26310]) ).
thf(f26313,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| spl2_16
| ~ spl2_47 ),
inference(forward_subsumption_resolution,[],[f26311,f8254]) ).
thf(f26322,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f28,f323]) ).
thf(f26323,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f26322]) ).
thf(f26324,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_200 ),
inference(constrained_superposition,[],[f28,f5739]) ).
thf(f26325,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f26324]) ).
thf(f26326,plain,
( spl2_7
| spl2_414
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f26325,f5738,f17334,f115]) ).
thf(f26433,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_80
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17335,f2487]) ).
thf(f26441,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_80
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f26433]) ).
thf(f26442,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_160 ),
inference(constrained_superposition,[],[f28,f5000]) ).
thf(f26443,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f26442]) ).
thf(f26450,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_225
| ~ spl2_246 ),
inference(constrained_superposition,[],[f5842,f5956]) ).
thf(f26452,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_225
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f26450]) ).
thf(f26456,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_222
| ~ spl2_225
| ~ spl2_246 ),
inference(constrained_superposition,[],[f26452,f5829]) ).
thf(f26458,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_222
| ~ spl2_225
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f26456]) ).
thf(f26460,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_222
| ~ spl2_225
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f26458,f26452]) ).
thf(f26462,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_222
| ~ spl2_225
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f26460,f41]) ).
thf(f26463,plain,
( spl2_142
| ~ spl2_222
| ~ spl2_225
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f26462,f5955,f5841,f5828,f4252]) ).
thf(f26513,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_239 ),
inference(constrained_superposition,[],[f5912,f233]) ).
thf(f26515,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_239 ),
inference(constrained_superposition,[],[f5912,f82]) ).
thf(f26521,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f26515]) ).
thf(f26523,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f26513]) ).
thf(f26529,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_225
| ~ spl2_239
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f26521,f26452]) ).
thf(f26534,plain,
( ~ spl2_4
| ~ spl2_225
| ~ spl2_239
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f26529,f5955,f5911,f5841,f98]) ).
thf(f26537,plain,
( spl2_121
| ~ spl2_24
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f26523,f5911,f283,f3568]) ).
thf(f26538,plain,
( spl2_124
| ~ spl2_4
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f26521,f5911,f98,f3626]) ).
thf(f26566,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_121
| ~ spl2_386 ),
inference(constrained_superposition,[],[f13609,f3569]) ).
thf(f26569,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_121
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f26566]) ).
thf(f26573,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f96,f4294]) ).
thf(f26583,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f26573]) ).
thf(f26605,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f1602,f2437]) ).
thf(f26621,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f26605]) ).
thf(f26637,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f268,f2444]) ).
thf(f26639,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f96,f2444]) ).
thf(f26643,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f58,f2444]) ).
thf(f26654,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f26639]) ).
thf(f26655,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f26643]) ).
thf(f26661,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f26637]) ).
thf(f26665,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_290
| ~ spl2_414 ),
inference(constrained_superposition,[],[f17335,f7961]) ).
thf(f26667,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_290
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f26665]) ).
thf(f26710,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_144
| ~ spl2_393 ),
inference(constrained_superposition,[],[f13924,f4278]) ).
thf(f26714,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_144
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f26710]) ).
thf(f26716,plain,
( $false
| ~ spl2_130
| ~ spl2_144
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f26714,f3761]) ).
thf(f26717,plain,
( ~ spl2_130
| ~ spl2_144
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f26716]) ).
thf(f26720,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f268,f4285]) ).
thf(f26736,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f26720]) ).
thf(f26751,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120 ),
inference(constrained_superposition,[],[f3557,f82]) ).
thf(f26756,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f26751]) ).
thf(f26842,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_288
| ~ spl2_390 ),
inference(constrained_superposition,[],[f13658,f7952]) ).
thf(f26844,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_288
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f26842]) ).
thf(f26847,plain,
( $false
| ~ spl2_288
| ~ spl2_324
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f26844,f9205]) ).
thf(f26848,plain,
( ~ spl2_288
| ~ spl2_324
| ~ spl2_390 ),
inference(avatar_contradiction_clause,[],[f26847]) ).
thf(f26948,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f268,f7965]) ).
thf(f26974,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f26948]) ).
thf(f26977,plain,
( ~ spl2_353
| spl2_231
| spl2_354
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f26974,f7964,f10184,f5873,f10181]) ).
thf(f27041,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| ~ spl2_293 ),
inference(constrained_superposition,[],[f3557,f7986]) ).
thf(f27061,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_120
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f27041]) ).
thf(f27066,plain,
( ~ spl2_353
| ~ spl2_120
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f27061,f7985,f3556,f10181]) ).
thf(f27080,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_295
| ~ spl2_385 ),
inference(constrained_superposition,[],[f13605,f7993]) ).
thf(f27082,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_295
| ~ spl2_385 ),
inference(trivial_inequality_removal,[],[f27080]) ).
thf(f27085,plain,
( $false
| ~ spl2_201
| ~ spl2_295
| ~ spl2_385 ),
inference(forward_subsumption_resolution,[],[f27082,f5744]) ).
thf(f27086,plain,
( ~ spl2_201
| ~ spl2_295
| ~ spl2_385 ),
inference(avatar_contradiction_clause,[],[f27085]) ).
thf(f27128,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_16
| ~ spl2_47
| ~ spl2_301 ),
inference(constrained_superposition,[],[f8090,f26313]) ).
thf(f27137,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_16
| ~ spl2_47
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f27128]) ).
thf(f27141,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_16
| ~ spl2_47
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f27137,f41]) ).
thf(f27144,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_16
| ~ spl2_47
| ~ spl2_290
| ~ spl2_301
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f27141,f26667]) ).
thf(f27150,plain,
( $false
| spl2_16
| ~ spl2_47
| ~ spl2_200
| ~ spl2_290
| ~ spl2_301
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f27144,f5739]) ).
thf(f27151,plain,
( spl2_16
| ~ spl2_47
| ~ spl2_200
| ~ spl2_290
| ~ spl2_301
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f27150]) ).
thf(f27155,plain,
( ~ spl2_37
| spl2_124
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f26756,f3556,f3626,f390]) ).
thf(f27161,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f26654,f596]) ).
thf(f27167,plain,
( ~ spl2_84
| spl2_192
| ~ spl2_47
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f27161,f2443,f595,f5703,f2501]) ).
thf(f27179,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_108 ),
inference(constrained_superposition,[],[f28,f3228]) ).
thf(f27180,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f27179]) ).
thf(f27195,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f268,f7954]) ).
thf(f27216,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f27195]) ).
thf(f27226,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_162
| ~ spl2_166 ),
inference(constrained_superposition,[],[f5075,f5007]) ).
thf(f27230,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_162
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f27226]) ).
thf(f27235,plain,
( ( $true != $true )
| ~ spl2_31
| ~ spl2_162
| ~ spl2_166 ),
inference(constrained_superposition,[],[f27230,f323]) ).
thf(f27238,plain,
( $false
| ~ spl2_31
| ~ spl2_162
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f27235]) ).
thf(f27239,plain,
( ~ spl2_31
| ~ spl2_162
| ~ spl2_166 ),
inference(avatar_contradiction_clause,[],[f27238]) ).
thf(f27241,plain,
( spl2_220
| spl2_170
| ~ spl2_169
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f27216,f5489,f5166,f5169,f5818]) ).
thf(f27242,plain,
( spl2_170
| spl2_231
| ~ spl2_169
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f26736,f4284,f5166,f5873,f5169]) ).
thf(f27245,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_240 ),
inference(constrained_superposition,[],[f5918,f233]) ).
thf(f27260,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f27245]) ).
thf(f27261,plain,
( spl2_162
| ~ spl2_24
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f27260,f5917,f283,f5006]) ).
thf(f27262,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f26023,f596]) ).
thf(f27263,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f26583,f596]) ).
thf(f27265,plain,
( spl2_193
| ~ spl2_109
| ~ spl2_47
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f27262,f2426,f595,f3231,f5709]) ).
thf(f27266,plain,
( spl2_193
| ~ spl2_109
| ~ spl2_47
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f27263,f4293,f595,f3231,f5709]) ).
thf(f27309,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_166
| ~ spl2_280 ),
inference(constrained_superposition,[],[f5075,f7433]) ).
thf(f27311,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_166
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f27309]) ).
thf(f27315,plain,
( ( $true != $true )
| ~ spl2_80
| ~ spl2_166
| ~ spl2_280 ),
inference(constrained_superposition,[],[f27311,f2487]) ).
thf(f27316,plain,
( ( $true != $true )
| ~ spl2_166
| ~ spl2_280
| ~ spl2_290 ),
inference(constrained_superposition,[],[f27311,f7961]) ).
thf(f27318,plain,
( $false
| ~ spl2_80
| ~ spl2_166
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f27315]) ).
thf(f27319,plain,
( ~ spl2_80
| ~ spl2_166
| ~ spl2_280 ),
inference(avatar_contradiction_clause,[],[f27318]) ).
thf(f27324,plain,
( $false
| ~ spl2_166
| ~ spl2_280
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f27316]) ).
thf(f27325,plain,
( ~ spl2_166
| ~ spl2_280
| ~ spl2_290 ),
inference(avatar_contradiction_clause,[],[f27324]) ).
thf(f27329,plain,
( spl2_262
| spl2_14
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f26323,f322,f168,f6348]) ).
thf(f27330,plain,
( spl2_104
| spl2_255
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f26621,f2436,f6043,f3099]) ).
thf(f27331,plain,
( spl2_14
| spl2_177
| ~ spl2_160 ),
inference(avatar_split_clause,[],[f26443,f4999,f5375,f168]) ).
thf(f27332,plain,
( ~ spl2_81
| spl2_93
| spl2_246
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f26661,f2443,f5955,f2532,f2489]) ).
thf(f27336,plain,
( spl2_14
| spl2_111
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f27180,f3227,f3256,f168]) ).
thf(f27381,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_200
| ~ spl2_238 ),
inference(constrained_superposition,[],[f5907,f5739]) ).
thf(f27382,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_200
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f27381]) ).
thf(f27427,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f96,f7958]) ).
thf(f27448,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f27427]) ).
thf(f27497,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124
| ~ spl2_245 ),
inference(constrained_superposition,[],[f5952,f3627]) ).
thf(f27500,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f27497]) ).
thf(f27504,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124
| ~ spl2_245 ),
inference(constrained_superposition,[],[f27500,f1753]) ).
thf(f27506,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_124
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f27504]) ).
thf(f27508,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_80
| ~ spl2_124
| ~ spl2_245
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f27506,f26441]) ).
thf(f27510,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_16
| ~ spl2_80
| ~ spl2_124
| ~ spl2_245
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f27508,f8254]) ).
thf(f27511,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_16
| ~ spl2_80
| ~ spl2_124
| ~ spl2_245
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f27510,f41]) ).
thf(f27512,plain,
( $false
| spl2_16
| ~ spl2_80
| ~ spl2_124
| ~ spl2_200
| ~ spl2_238
| ~ spl2_245
| ~ spl2_414 ),
inference(forward_subsumption_resolution,[],[f27511,f27382]) ).
thf(f27513,plain,
( spl2_16
| ~ spl2_80
| ~ spl2_124
| ~ spl2_200
| ~ spl2_238
| ~ spl2_245
| ~ spl2_414 ),
inference(avatar_contradiction_clause,[],[f27512]) ).
thf(f27515,plain,
( spl2_266
| spl2_80
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f24573,f2419,f2486,f6605]) ).
thf(f27516,plain,
( spl2_193
| ~ spl2_109
| spl2_191
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f27448,f7957,f5700,f3231,f5709]) ).
thf(f27519,plain,
( spl2_110
| spl2_231
| ~ spl2_88
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f26035,f2426,f2515,f5873,f3241]) ).
thf(f27521,plain,
( spl2_267
| ~ spl2_109
| spl2_193
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f26023,f2426,f5709,f3231,f6611]) ).
thf(f27522,plain,
( spl2_193
| spl2_187
| ~ spl2_109
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f26583,f4293,f3231,f5686,f5709]) ).
thf(f27568,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f198,f2516]) ).
thf(f27569,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f96,f2516]) ).
thf(f27573,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_88 ),
inference(constrained_superposition,[],[f58,f2516]) ).
thf(f27582,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f27569]) ).
thf(f27585,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f27568]) ).
thf(f27586,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f27573]) ).
thf(f27591,plain,
( spl2_31
| spl2_190
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f27585,f2515,f5696,f322]) ).
thf(f27612,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_222
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5842,f5829]) ).
thf(f27616,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_222
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f27612]) ).
thf(f27618,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_121
| ~ spl2_222
| ~ spl2_225
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f27616,f26569]) ).
thf(f27620,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_121
| ~ spl2_222
| ~ spl2_225
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f27618,f41]) ).
thf(f27621,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| spl2_30
| ~ spl2_121
| ~ spl2_222
| ~ spl2_225
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f27620,f2316]) ).
thf(f27622,plain,
( spl2_47
| spl2_30
| ~ spl2_121
| ~ spl2_222
| ~ spl2_225
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f27621,f13608,f5841,f5828,f3568,f319,f595]) ).
thf(f27624,plain,
( spl2_193
| ~ spl2_109
| spl2_42
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f27582,f2515,f468,f3231,f5709]) ).
thf(f27729,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_257
| ~ spl2_280 ),
inference(constrained_superposition,[],[f6126,f7433]) ).
thf(f27732,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_257
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f27729]) ).
thf(f27747,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_49 ),
inference(constrained_superposition,[],[f169,f7659]) ).
thf(f27749,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_14
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f27747]) ).
thf(f27751,plain,
( spl2_47
| ~ spl2_14
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f27749,f1537,f168,f595]) ).
thf(f27782,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_198
| ~ spl2_236 ),
inference(constrained_superposition,[],[f5899,f5732]) ).
thf(f27785,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_198
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f27782]) ).
thf(f27803,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f268,f4275]) ).
thf(f27821,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f27803]) ).
thf(f27837,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124
| ~ spl2_245 ),
inference(constrained_superposition,[],[f5952,f3627]) ).
thf(f27840,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f27837]) ).
thf(f27844,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_124
| ~ spl2_245 ),
inference(constrained_superposition,[],[f27840,f1753]) ).
thf(f27847,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_124
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f27844]) ).
thf(f27849,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_124
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f27847,f41]) ).
thf(f27850,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_16
| ~ spl2_124
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f27849,f8254]) ).
thf(f27851,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_16
| ~ spl2_124
| ~ spl2_198
| ~ spl2_236
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f27850,f27785]) ).
thf(f27852,plain,
( $false
| spl2_16
| ~ spl2_121
| ~ spl2_124
| ~ spl2_198
| ~ spl2_236
| ~ spl2_245
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f27851,f26569]) ).
thf(f27853,plain,
( spl2_16
| ~ spl2_121
| ~ spl2_124
| ~ spl2_198
| ~ spl2_236
| ~ spl2_245
| ~ spl2_386 ),
inference(avatar_contradiction_clause,[],[f27852]) ).
thf(f27855,plain,
( spl2_196
| spl2_16
| ~ spl2_124
| ~ spl2_198
| ~ spl2_236
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f27851,f5951,f5898,f5731,f3626,f200,f5724]) ).
thf(f27858,plain,
( spl2_218
| spl2_196
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f27586,f2515,f5724,f5811]) ).
thf(f27865,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f28,f5874]) ).
thf(f27866,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f27865]) ).
thf(f27868,plain,
( spl2_105
| spl2_261
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f27866,f5873,f6308,f3174]) ).
thf(f27870,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_246 ),
inference(constrained_superposition,[],[f28,f5956]) ).
thf(f27871,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f27870]) ).
thf(f27873,plain,
( spl2_127
| spl2_269
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f27871,f5955,f6649,f3655]) ).
thf(f27903,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_145
| ~ spl2_404 ),
inference(constrained_superposition,[],[f15921,f4282]) ).
thf(f27907,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_145
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f27903]) ).
thf(f27909,plain,
( $false
| ~ spl2_145
| ~ spl2_176
| ~ spl2_404 ),
inference(forward_subsumption_resolution,[],[f27907,f5360]) ).
thf(f27910,plain,
( ~ spl2_145
| ~ spl2_176
| ~ spl2_404 ),
inference(avatar_contradiction_clause,[],[f27909]) ).
thf(f27920,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f28,f5007]) ).
thf(f27921,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f27920]) ).
thf(f27922,plain,
( spl2_225
| spl2_305
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f27921,f5006,f8167,f5841]) ).
thf(f27939,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f1602,f4285]) ).
thf(f27964,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f27939]) ).
thf(f27979,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f1602,f4313]) ).
thf(f28001,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f27979]) ).
thf(f28007,plain,
( spl2_121
| spl2_234
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f28001,f4312,f5888,f3568]) ).
thf(f28009,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_152
| ~ spl2_393 ),
inference(constrained_superposition,[],[f13924,f4323]) ).
thf(f28013,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_152
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f28009]) ).
thf(f28015,plain,
( $false
| ~ spl2_139
| ~ spl2_152
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f28013,f3996]) ).
thf(f28016,plain,
( ~ spl2_139
| ~ spl2_152
| ~ spl2_393 ),
inference(avatar_contradiction_clause,[],[f28015]) ).
thf(f28018,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_143
| ~ spl2_257
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f27821,f27732]) ).
thf(f28022,plain,
( spl2_201
| spl2_210
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f26655,f2443,f5777,f5743]) ).
thf(f28024,plain,
( spl2_195
| spl2_104
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f27964,f4284,f3099,f5720]) ).
thf(f28026,plain,
( spl2_93
| ~ spl2_81
| ~ spl2_143
| ~ spl2_257
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f28018,f7432,f6125,f4274,f2489,f2532]) ).
thf(f28066,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_187
| ~ spl2_398 ),
inference(constrained_superposition,[],[f14356,f5687]) ).
thf(f28069,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_187
| ~ spl2_398 ),
inference(trivial_inequality_removal,[],[f28066]) ).
thf(f28072,plain,
( $false
| ~ spl2_19
| ~ spl2_187
| ~ spl2_398 ),
inference(forward_subsumption_resolution,[],[f28069,f211]) ).
thf(f28073,plain,
( ~ spl2_19
| ~ spl2_187
| ~ spl2_398 ),
inference(avatar_contradiction_clause,[],[f28072]) ).
thf(f28077,plain,
( spl2_93
| spl2_254
| ~ spl2_81
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f27821,f4274,f2489,f6034,f2532]) ).
thf(f28084,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_283 ),
inference(constrained_superposition,[],[f7662,f10140]) ).
thf(f28094,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f28084]) ).
thf(f28108,plain,
( spl2_11
| ~ spl2_9
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f28094,f7661,f144,f150]) ).
thf(f28124,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_257 ),
inference(constrained_superposition,[],[f6126,f148]) ).
thf(f28129,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f28124]) ).
thf(f28139,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_219
| ~ spl2_257 ),
inference(constrained_superposition,[],[f6126,f5816]) ).
thf(f28141,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_219
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f28139]) ).
thf(f28149,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_257 ),
inference(constrained_superposition,[],[f28129,f1753]) ).
thf(f28153,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_10
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f28149]) ).
thf(f28156,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_10
| spl2_19
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f28153,f2007]) ).
thf(f28158,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_10
| spl2_19
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f28156,f41]) ).
thf(f28165,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_10
| spl2_16
| spl2_19
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f28158,f8254]) ).
thf(f28167,plain,
( spl2_196
| ~ spl2_10
| spl2_16
| spl2_19
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f28165,f6125,f210,f200,f147,f5724]) ).
thf(f28173,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_85 ),
inference(constrained_superposition,[],[f28,f2506]) ).
thf(f28175,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f28173]) ).
thf(f28176,plain,
( spl2_100
| spl2_14
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f28175,f2505,f168,f3047]) ).
thf(f28183,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_257 ),
inference(constrained_superposition,[],[f6126,f5716]) ).
thf(f28186,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f28183]) ).
thf(f28188,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_222
| ~ spl2_257 ),
inference(constrained_superposition,[],[f28186,f5829]) ).
thf(f28189,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_194
| ~ spl2_257 ),
inference(constrained_superposition,[],[f28186,f1753]) ).
thf(f28191,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_194
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f28189]) ).
thf(f28192,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_194
| ~ spl2_222
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f28188]) ).
thf(f28194,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_194
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f28191,f41]) ).
thf(f28195,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_194
| ~ spl2_219
| ~ spl2_222
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f28192,f28141]) ).
thf(f28197,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_19
| ~ spl2_194
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f28194,f2007]) ).
thf(f28198,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_194
| ~ spl2_219
| ~ spl2_222
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f28195,f41]) ).
thf(f28199,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_16
| spl2_19
| ~ spl2_194
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f28197,f8254]) ).
thf(f28200,plain,
( $false
| spl2_30
| ~ spl2_194
| ~ spl2_219
| ~ spl2_222
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f28198,f2316]) ).
thf(f28201,plain,
( spl2_30
| ~ spl2_194
| ~ spl2_219
| ~ spl2_222
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f28200]) ).
thf(f28202,plain,
( $false
| spl2_16
| spl2_19
| ~ spl2_194
| ~ spl2_219
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f28199,f28141]) ).
thf(f28203,plain,
( spl2_16
| spl2_19
| ~ spl2_194
| ~ spl2_219
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f28202]) ).
thf(f28204,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f158,f25]) ).
thf(f28210,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f28204]) ).
thf(f28212,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f1602,f2526]) ).
thf(f28214,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_17
| ~ spl2_91 ),
inference(constrained_superposition,[],[f204,f2526]) ).
thf(f28215,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f198,f2526]) ).
thf(f28216,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f96,f2526]) ).
thf(f28219,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_91 ),
inference(constrained_superposition,[],[f63,f2526]) ).
thf(f28232,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f28215]) ).
thf(f28233,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f28219]) ).
thf(f28234,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f28214]) ).
thf(f28235,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_91 ),
inference(duplicate_literal_removal,[],[f28212]) ).
thf(f28236,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f28235]) ).
thf(f28237,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f28216]) ).
thf(f28241,plain,
( spl2_401
| spl2_80
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f28236,f2525,f2486,f14726]) ).
thf(f28261,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_104
| ~ spl2_390 ),
inference(constrained_superposition,[],[f13658,f3100]) ).
thf(f28262,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_104 ),
inference(constrained_superposition,[],[f28,f3100]) ).
thf(f28263,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f28262]) ).
thf(f28264,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_104
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f28261]) ).
thf(f28265,plain,
( spl2_236
| spl2_225
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f28263,f3099,f5841,f5898]) ).
thf(f28293,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f28,f3569]) ).
thf(f28294,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f28293]) ).
thf(f28295,plain,
( spl2_225
| spl2_245
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f28294,f3568,f5951,f5841]) ).
thf(f28324,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f1602,f4287]) ).
thf(f28347,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f28324]) ).
thf(f28353,plain,
( spl2_256
| spl2_80
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f28347,f3768,f2486,f6047]) ).
thf(f28354,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f1602,f4294]) ).
thf(f28355,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f268,f4294]) ).
thf(f28362,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f58,f4294]) ).
thf(f28375,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f28355]) ).
thf(f28380,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f28362]) ).
thf(f28381,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f28354]) ).
thf(f28384,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_88
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f28375,f2516]) ).
thf(f28385,plain,
( spl2_201
| spl2_232
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f28380,f4293,f5878,f5743]) ).
thf(f28386,plain,
( spl2_246
| spl2_110
| ~ spl2_88
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f28384,f4293,f2515,f3241,f5955]) ).
thf(f28418,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_222 ),
inference(constrained_superposition,[],[f3656,f5829]) ).
thf(f28422,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f28418]) ).
thf(f28424,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_127
| ~ spl2_222 ),
inference(forward_subsumption_resolution,[],[f28422,f41]) ).
thf(f28425,plain,
( spl2_47
| spl2_142
| spl2_201
| ~ spl2_127
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f28424,f5828,f3655,f5743,f4252,f595]) ).
thf(f28442,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_42 ),
inference(constrained_superposition,[],[f28,f469]) ).
thf(f28443,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f28442]) ).
thf(f28444,plain,
( spl2_27
| spl2_225
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f28443,f468,f5841,f303]) ).
thf(f28447,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_42 ),
inference(constrained_superposition,[],[f169,f469]) ).
thf(f28448,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f28447]) ).
thf(f28480,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f271,f83]) ).
thf(f28488,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f28480]) ).
thf(f28493,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42 ),
inference(forward_subsumption_resolution,[],[f28488,f28448]) ).
thf(f28501,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42 ),
inference(constrained_superposition,[],[f28493,f82]) ).
thf(f28504,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f28501]) ).
thf(f28560,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_76
| ~ spl2_386 ),
inference(constrained_superposition,[],[f13609,f2434]) ).
thf(f28561,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_76 ),
inference(constrained_superposition,[],[f28,f2434]) ).
thf(f28562,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_76
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f28560]) ).
thf(f28563,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f28561]) ).
thf(f28564,plain,
( $false
| ~ spl2_76
| ~ spl2_198
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f28562,f5732]) ).
thf(f28565,plain,
( ~ spl2_76
| ~ spl2_198
| ~ spl2_386 ),
inference(avatar_contradiction_clause,[],[f28564]) ).
thf(f28566,plain,
( spl2_105
| spl2_115
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f28563,f2433,f3490,f3174]) ).
thf(f28574,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f63,f2437]) ).
thf(f28585,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f28574]) ).
thf(f28596,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f1602,f7958]) ).
thf(f28597,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f268,f7958]) ).
thf(f28616,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f28597]) ).
thf(f28620,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f28596]) ).
thf(f28644,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_265
| ~ spl2_280 ),
inference(constrained_superposition,[],[f6499,f7433]) ).
thf(f28645,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_280
| ~ spl2_412 ),
inference(constrained_superposition,[],[f17236,f7433]) ).
thf(f28647,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_265
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f28644]) ).
thf(f28649,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_280
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f28645]) ).
thf(f28657,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_265
| ~ spl2_280 ),
inference(constrained_superposition,[],[f28647,f1753]) ).
thf(f28660,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_265
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f28657]) ).
thf(f28662,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_16
| ~ spl2_265
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f28660,f8254]) ).
thf(f28663,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_16
| ~ spl2_265
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f28662,f41]) ).
thf(f28664,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_16
| ~ spl2_265
| ~ spl2_280
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f28663,f28649]) ).
thf(f28665,plain,
( spl2_211
| spl2_16
| ~ spl2_265
| ~ spl2_280
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f28664,f17235,f7432,f6498,f200,f5781]) ).
thf(f28828,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_151 ),
inference(constrained_superposition,[],[f58,f4320]) ).
thf(f28844,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f28828]) ).
thf(f28850,plain,
( spl2_207
| spl2_211
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f28844,f4319,f5781,f5766]) ).
thf(f29050,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_296
| ~ spl2_448 ),
inference(constrained_superposition,[],[f23106,f7996]) ).
thf(f29060,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_296
| ~ spl2_448 ),
inference(trivial_inequality_removal,[],[f29050]) ).
thf(f29067,plain,
( $false
| ~ spl2_132
| ~ spl2_296
| ~ spl2_448 ),
inference(forward_subsumption_resolution,[],[f29060,f4287]) ).
thf(f29068,plain,
( ~ spl2_132
| ~ spl2_296
| ~ spl2_448 ),
inference(avatar_contradiction_clause,[],[f29067]) ).
thf(f29093,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_434 ),
inference(constrained_superposition,[],[f28,f20589]) ).
thf(f29094,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_434 ),
inference(trivial_inequality_removal,[],[f29093]) ).
thf(f29096,plain,
( spl2_95
| spl2_439
| ~ spl2_434 ),
inference(avatar_split_clause,[],[f29094,f20588,f21704,f2570]) ).
thf(f29329,plain,
( $false
| ~ spl2_14
| ~ spl2_42
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f5956,f28448]) ).
thf(f29330,plain,
( ~ spl2_14
| ~ spl2_42
| ~ spl2_246 ),
inference(avatar_contradiction_clause,[],[f29329]) ).
thf(f29332,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_325 ),
inference(constrained_superposition,[],[f169,f9209]) ).
thf(f29336,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f29332]) ).
thf(f29341,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_325
| ~ spl2_327 ),
inference(constrained_superposition,[],[f29336,f9216]) ).
thf(f29342,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_325
| ~ spl2_434 ),
inference(constrained_superposition,[],[f29336,f20589]) ).
thf(f29343,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_325
| ~ spl2_329 ),
inference(constrained_superposition,[],[f29336,f9225]) ).
thf(f29345,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42
| ~ spl2_325 ),
inference(constrained_superposition,[],[f29336,f28504]) ).
thf(f29346,plain,
( $false
| ~ spl2_14
| ~ spl2_325
| ~ spl2_327 ),
inference(trivial_inequality_removal,[],[f29341]) ).
thf(f29347,plain,
( ~ spl2_14
| ~ spl2_325
| ~ spl2_327 ),
inference(avatar_contradiction_clause,[],[f29346]) ).
thf(f29348,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f29345]) ).
thf(f29349,plain,
( $false
| ~ spl2_14
| ~ spl2_325
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f29343]) ).
thf(f29350,plain,
( ~ spl2_14
| ~ spl2_325
| ~ spl2_329 ),
inference(avatar_contradiction_clause,[],[f29349]) ).
thf(f29353,plain,
( $false
| ~ spl2_14
| ~ spl2_325
| ~ spl2_434 ),
inference(trivial_inequality_removal,[],[f29342]) ).
thf(f29354,plain,
( ~ spl2_14
| ~ spl2_325
| ~ spl2_434 ),
inference(avatar_contradiction_clause,[],[f29353]) ).
thf(f29357,plain,
( $false
| ~ spl2_14
| ~ spl2_20
| ~ spl2_42
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f29348,f41]) ).
thf(f29358,plain,
( ~ spl2_14
| ~ spl2_20
| ~ spl2_42
| ~ spl2_325 ),
inference(avatar_contradiction_clause,[],[f29357]) ).
thf(f29379,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_294
| ~ spl2_386 ),
inference(constrained_superposition,[],[f13609,f7989]) ).
thf(f29382,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_294
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f29379]) ).
thf(f29405,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X0 ) )
| ~ spl2_342 ),
inference(constrained_superposition,[],[f9546,f1753]) ).
thf(f29409,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) )
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f29405]) ).
thf(f29411,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X0 ) )
| ~ spl2_342
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f29409,f13609]) ).
thf(f29413,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_294
| ~ spl2_342
| ~ spl2_386 ),
inference(forward_subsumption_resolution,[],[f29411,f29382]) ).
thf(f29416,definition,
( spl2_472
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_472])],[avatar_definition]) ).
thf(f29417,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X0 ) )
| ~ spl2_472 ),
inference(avatar_component_clause,[],[f29416]) ).
thf(f29418,plain,
( spl2_472
| spl2_323
| ~ spl2_294
| ~ spl2_342
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f29413,f13608,f9545,f7988,f9201,f29416]) ).
thf(f29420,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_121
| ~ spl2_472 ),
inference(constrained_superposition,[],[f29417,f3569]) ).
thf(f29424,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_121
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f29420]) ).
thf(f29429,plain,
( spl2_279
| ~ spl2_121
| ~ spl2_472 ),
inference(avatar_split_clause,[],[f29424,f29416,f3568,f7288]) ).
thf(f29435,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_323
| ~ spl2_342 ),
inference(constrained_superposition,[],[f9546,f9202]) ).
thf(f29438,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_323
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f29435]) ).
thf(f29443,plain,
( ~ spl2_199
| spl2_239
| spl2_130
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f28585,f2436,f3760,f5911,f5734]) ).
thf(f29447,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_201 ),
inference(avatar_component_clause,[],[f5743]) ).
thf(f29456,plain,
( ~ spl2_201
| ~ spl2_323
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f29438,f9545,f9201,f5743]) ).
thf(f29460,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_187 ),
inference(constrained_superposition,[],[f169,f5687]) ).
thf(f29461,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_187 ),
inference(constrained_superposition,[],[f28,f5687]) ).
thf(f29462,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f29461]) ).
thf(f29463,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f29460]) ).
thf(f29466,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_121
| ~ spl2_187 ),
inference(constrained_superposition,[],[f29463,f3569]) ).
thf(f29471,plain,
( $false
| ~ spl2_14
| ~ spl2_121
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f29466]) ).
thf(f29472,plain,
( ~ spl2_14
| ~ spl2_121
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f29471]) ).
thf(f29481,plain,
( spl2_162
| spl2_302
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f28620,f7957,f8124,f5006]) ).
thf(f29482,plain,
( $false
| ~ spl2_14
| ~ spl2_134
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f3929,f29463]) ).
thf(f29483,plain,
( ~ spl2_14
| ~ spl2_134
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f29482]) ).
thf(f29493,plain,
( $false
| ~ spl2_14
| ~ spl2_76
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f2434,f29463]) ).
thf(f29494,plain,
( ~ spl2_14
| ~ spl2_76
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f29493]) ).
thf(f29495,plain,
( spl2_254
| spl2_110
| ~ spl2_88
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f28616,f7957,f2515,f3241,f6034]) ).
thf(f29499,plain,
( ~ spl2_88
| spl2_110
| spl2_246
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f28375,f4293,f5955,f3241,f2515]) ).
thf(f29503,plain,
( spl2_127
| spl2_316
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f29462,f5686,f8601,f3655]) ).
thf(f29504,plain,
( spl2_121
| spl2_256
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f28381,f4293,f6047,f3568]) ).
thf(f29515,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f28,f307]) ).
thf(f29516,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f29515]) ).
thf(f29517,plain,
( spl2_225
| spl2_392
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f29516,f306,f13821,f5841]) ).
thf(f29519,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f28210,f25]) ).
thf(f29520,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f29519]) ).
thf(f29527,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_194 ),
inference(constrained_superposition,[],[f28,f5716]) ).
thf(f29528,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f29527]) ).
thf(f29530,plain,
( spl2_265
| spl2_95
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f29528,f5715,f2570,f6498]) ).
thf(f29532,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_80 ),
inference(constrained_superposition,[],[f28,f2487]) ).
thf(f29534,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f29532]) ).
thf(f29535,plain,
( spl2_225
| spl2_238
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f29534,f2486,f5906,f5841]) ).
thf(f29552,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_201 ),
inference(constrained_superposition,[],[f28,f5744]) ).
thf(f29553,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f29552]) ).
thf(f29554,plain,
( spl2_386
| spl2_7
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f29553,f5743,f115,f13608]) ).
thf(f29578,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_124 ),
inference(constrained_superposition,[],[f28,f3627]) ).
thf(f29579,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f29578]) ).
thf(f29580,plain,
( spl2_14
| spl2_128
| ~ spl2_124 ),
inference(avatar_split_clause,[],[f29579,f3626,f3678,f168]) ).
thf(f29589,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_80
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3048,f2487]) ).
thf(f29593,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_80
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f29589]) ).
thf(f29597,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_80
| ~ spl2_100 ),
inference(constrained_superposition,[],[f29593,f1753]) ).
thf(f29600,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_80
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f29597]) ).
thf(f29602,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_16
| ~ spl2_80
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f29600,f8254]) ).
thf(f29603,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_16
| spl2_19
| ~ spl2_80
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f29602,f2007]) ).
thf(f29604,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_16
| spl2_19
| ~ spl2_80
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f29603,f41]) ).
thf(f29605,plain,
( $false
| spl2_16
| spl2_19
| ~ spl2_80
| ~ spl2_100
| ~ spl2_104
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f29604,f28264]) ).
thf(f29606,plain,
( spl2_16
| spl2_19
| ~ spl2_80
| ~ spl2_100
| ~ spl2_104
| ~ spl2_390 ),
inference(avatar_contradiction_clause,[],[f29605]) ).
thf(f29607,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f28,f211]) ).
thf(f29608,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f29607]) ).
thf(f29609,plain,
( spl2_15
| spl2_14
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f29608,f210,f168,f171]) ).
thf(f29641,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f268,f4287]) ).
thf(f29660,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f29641]) ).
thf(f29671,plain,
( spl2_220
| spl2_120
| ~ spl2_117
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f29660,f3768,f3544,f3556,f5818]) ).
thf(f29726,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f268,f2437]) ).
thf(f29727,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_77 ),
inference(constrained_superposition,[],[f204,f2437]) ).
thf(f29728,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f198,f2437]) ).
thf(f29729,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f96,f2437]) ).
thf(f29732,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f63,f2437]) ).
thf(f29742,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f29732]) ).
thf(f29746,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f29729]) ).
thf(f29751,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f29726]) ).
thf(f29753,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f29728]) ).
thf(f29754,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f29727]) ).
thf(f29756,plain,
( ~ spl2_117
| spl2_120
| spl2_231
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f29751,f2436,f5873,f3556,f3544]) ).
thf(f29758,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f1602,f2444]) ).
thf(f29761,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f198,f2444]) ).
thf(f29762,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f96,f2444]) ).
thf(f29776,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f29762]) ).
thf(f29784,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f29761]) ).
thf(f29785,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f29758]) ).
thf(f29790,plain,
( spl2_121
| spl2_255
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f29785,f2443,f6043,f3568]) ).
thf(f29795,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f198,f7954]) ).
thf(f29799,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f63,f7954]) ).
thf(f29810,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f29799]) ).
thf(f29820,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f29795]) ).
thf(f29826,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_128
| ~ spl2_201 ),
inference(constrained_superposition,[],[f3679,f5744]) ).
thf(f29830,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_128
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f29826]) ).
thf(f29831,plain,
( $false
| ~ spl2_19
| ~ spl2_128
| ~ spl2_201 ),
inference(forward_subsumption_resolution,[],[f29830,f211]) ).
thf(f29832,plain,
( ~ spl2_19
| ~ spl2_128
| ~ spl2_201 ),
inference(avatar_contradiction_clause,[],[f29831]) ).
thf(f29841,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_145
| ~ spl2_404 ),
inference(constrained_superposition,[],[f15921,f4282]) ).
thf(f29845,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_145
| ~ spl2_404 ),
inference(trivial_inequality_removal,[],[f29841]) ).
thf(f29903,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_150
| ~ spl2_306 ),
inference(constrained_superposition,[],[f8198,f4316]) ).
thf(f29906,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_150
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f29903]) ).
thf(f29915,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_151 ),
inference(constrained_superposition,[],[f268,f4320]) ).
thf(f29918,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_151 ),
inference(constrained_superposition,[],[f96,f4320]) ).
thf(f29940,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f29915]) ).
thf(f29942,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f29918]) ).
thf(f30021,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_218 ),
inference(constrained_superposition,[],[f5812,f81]) ).
thf(f30032,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f30021]) ).
thf(f30041,plain,
( ~ spl2_37
| ~ spl2_4
| spl2_194
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f30032,f5811,f5715,f98,f390]) ).
thf(f30044,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_294 ),
inference(constrained_superposition,[],[f28,f7989]) ).
thf(f30045,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f30044]) ).
thf(f30064,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_124
| ~ spl2_472 ),
inference(constrained_superposition,[],[f29417,f3627]) ).
thf(f30066,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ~ spl2_124
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f30064]) ).
thf(f30069,plain,
( $false
| ~ spl2_124
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f30066,f41]) ).
thf(f30070,plain,
( ~ spl2_124
| ~ spl2_472 ),
inference(avatar_contradiction_clause,[],[f30069]) ).
thf(f30071,plain,
( spl2_335
| spl2_342
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f30045,f7988,f9545,f9263]) ).
thf(f30102,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_13
| spl2_108 ),
inference(constrained_superposition,[],[f10189,f29520]) ).
thf(f30104,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_13
| ~ spl2_306 ),
inference(constrained_superposition,[],[f8198,f29520]) ).
thf(f30113,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_13
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f30104]) ).
thf(f30116,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_13
| spl2_108 ),
inference(trivial_inequality_removal,[],[f30102]) ).
thf(f30120,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ~ spl2_13
| ~ spl2_145
| ~ spl2_306
| ~ spl2_404 ),
inference(forward_subsumption_resolution,[],[f30113,f29845]) ).
thf(f30122,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_13
| spl2_108 ),
inference(forward_subsumption_resolution,[],[f30116,f41]) ).
thf(f30124,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_13
| ~ spl2_145
| ~ spl2_306
| ~ spl2_404 ),
inference(forward_subsumption_resolution,[],[f30120,f41]) ).
thf(f30126,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_13
| spl2_92
| spl2_108 ),
inference(forward_subsumption_resolution,[],[f30122,f7886]) ).
thf(f30128,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_194 ),
inference(avatar_component_clause,[],[f5715]) ).
thf(f30129,plain,
( ~ spl2_194
| spl2_279
| ~ spl2_13
| ~ spl2_145
| ~ spl2_306
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f30124,f15920,f8197,f4281,f157,f7288,f5715]) ).
thf(f30131,plain,
( spl2_130
| ~ spl2_13
| spl2_92
| spl2_108 ),
inference(avatar_split_clause,[],[f30126,f3227,f2528,f157,f3760]) ).
thf(f30142,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_335
| ~ spl2_434 ),
inference(constrained_superposition,[],[f9264,f20589]) ).
thf(f30147,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_335
| ~ spl2_434 ),
inference(trivial_inequality_removal,[],[f30142]) ).
thf(f30159,plain,
( ( $true != $true )
| ~ spl2_200
| ~ spl2_335
| ~ spl2_434 ),
inference(constrained_superposition,[],[f30147,f5739]) ).
thf(f30166,plain,
( $false
| ~ spl2_200
| ~ spl2_335
| ~ spl2_434 ),
inference(trivial_inequality_removal,[],[f30159]) ).
thf(f30167,plain,
( ~ spl2_200
| ~ spl2_335
| ~ spl2_434 ),
inference(avatar_contradiction_clause,[],[f30166]) ).
thf(f30168,plain,
( spl2_108
| spl2_125
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f29753,f2436,f3629,f3227]) ).
thf(f30170,plain,
( ~ spl2_117
| spl2_120
| spl2_254
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f29940,f4319,f6034,f3556,f3544]) ).
thf(f30190,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_117 ),
inference(constrained_superposition,[],[f3545,f25]) ).
thf(f30192,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_117 ),
inference(trivial_inequality_removal,[],[f30190]) ).
thf(f30196,plain,
( spl2_122
| spl2_121
| spl2_117 ),
inference(avatar_split_clause,[],[f30192,f3544,f3568,f3571]) ).
thf(f30202,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_325 ),
inference(constrained_superposition,[],[f169,f9209]) ).
thf(f30205,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ~ spl2_14
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f30202]) ).
thf(f30208,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_292
| ~ spl2_325 ),
inference(constrained_superposition,[],[f30205,f7968]) ).
thf(f30209,plain,
( $false
| ~ spl2_14
| ~ spl2_292
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f30208]) ).
thf(f30210,plain,
( ~ spl2_14
| ~ spl2_292
| ~ spl2_325 ),
inference(avatar_contradiction_clause,[],[f30209]) ).
thf(f30215,plain,
( spl2_124
| spl2_125
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f29784,f2443,f3629,f3626]) ).
thf(f30217,plain,
( spl2_267
| spl2_252
| ~ spl2_116
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f29746,f2436,f3541,f5985,f6611]) ).
thf(f30218,plain,
( spl2_252
| spl2_191
| ~ spl2_116
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f29942,f4319,f3541,f5700,f5985]) ).
thf(f30228,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_225
| ~ spl2_328 ),
inference(constrained_superposition,[],[f5842,f9221]) ).
thf(f30231,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ~ spl2_225
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f30228]) ).
thf(f30234,plain,
( ( $true != $true )
| ~ spl2_225
| ~ spl2_327
| ~ spl2_328 ),
inference(constrained_superposition,[],[f30231,f9216]) ).
thf(f30235,plain,
( $false
| ~ spl2_225
| ~ spl2_327
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f30234]) ).
thf(f30236,plain,
( ~ spl2_225
| ~ spl2_327
| ~ spl2_328 ),
inference(avatar_contradiction_clause,[],[f30235]) ).
thf(f30250,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_151
| ~ spl2_252 ),
inference(constrained_superposition,[],[f5986,f4320]) ).
thf(f30259,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_151
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f30250]) ).
thf(f30268,plain,
( ~ spl2_189
| ~ spl2_151
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f30259,f5985,f4319,f5692]) ).
thf(f30377,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_295
| ~ spl2_335 ),
inference(constrained_superposition,[],[f9264,f7993]) ).
thf(f30380,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_295
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f30377]) ).
thf(f30388,plain,
( ( $true != $true )
| ~ spl2_201
| ~ spl2_295
| ~ spl2_335 ),
inference(constrained_superposition,[],[f30380,f5744]) ).
thf(f30395,plain,
( $false
| ~ spl2_201
| ~ spl2_295
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f30388]) ).
thf(f30396,plain,
( ~ spl2_201
| ~ spl2_295
| ~ spl2_335 ),
inference(avatar_contradiction_clause,[],[f30395]) ).
thf(f30397,plain,
( spl2_85
| spl2_304
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f29820,f5489,f8146,f2505]) ).
thf(f30398,plain,
( ~ spl2_24
| spl2_23
| spl2_219
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f28233,f2525,f5815,f280,f283]) ).
thf(f30404,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_91
| spl2_194 ),
inference(forward_subsumption_resolution,[],[f28237,f30128]) ).
thf(f30405,plain,
( ~ spl2_199
| ~ spl2_116
| spl2_108
| ~ spl2_17
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f29754,f2436,f203,f3227,f3541,f5734]) ).
thf(f30406,plain,
( ~ spl2_199
| spl2_130
| spl2_239
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f29742,f2436,f5911,f3760,f5734]) ).
thf(f30413,plain,
( $false
| ~ spl2_134
| ~ spl2_150
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f3929,f29906]) ).
thf(f30414,plain,
( ~ spl2_134
| ~ spl2_150
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f30413]) ).
thf(f30415,plain,
( spl2_187
| ~ spl2_84
| spl2_192
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f29776,f2443,f5703,f2501,f5686]) ).
thf(f30416,plain,
( spl2_85
| ~ spl2_24
| ~ spl2_22
| ~ spl2_17
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f28234,f2525,f203,f276,f283,f2505]) ).
thf(f30418,plain,
( ~ spl2_230
| spl2_219
| spl2_240
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f29810,f5489,f5917,f5815,f5864]) ).
thf(f30419,plain,
( spl2_85
| spl2_190
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f28232,f2525,f5696,f2505]) ).
thf(f30420,plain,
( spl2_20
| ~ spl2_22
| ~ spl2_91
| spl2_194 ),
inference(avatar_split_clause,[],[f30404,f5715,f2525,f276,f270]) ).
thf(f30477,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(constrained_superposition,[],[f3542,f25]) ).
thf(f30478,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f30477]) ).
thf(f30481,plain,
( spl2_142
| spl2_124
| spl2_116 ),
inference(avatar_split_clause,[],[f30478,f3541,f3626,f4252]) ).
thf(f30491,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f28,f2423]) ).
thf(f30492,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f30491]) ).
thf(f30493,plain,
( spl2_94
| spl2_95
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f30492,f2422,f2570,f2567]) ).
thf(f30495,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_75 ),
inference(constrained_superposition,[],[f28,f2430]) ).
thf(f30497,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f30495]) ).
thf(f30498,plain,
( spl2_106
| spl2_105
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f30497,f2429,f3174,f3177]) ).
thf(f30512,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_324
| ~ spl2_439 ),
inference(constrained_superposition,[],[f21705,f9205]) ).
thf(f30513,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_324 ),
inference(constrained_superposition,[],[f28,f9205]) ).
thf(f30514,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f30513]) ).
thf(f30515,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_324
| ~ spl2_439 ),
inference(trivial_inequality_removal,[],[f30512]) ).
thf(f30520,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f28,f3929]) ).
thf(f30521,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f30520]) ).
thf(f30522,plain,
( spl2_136
| spl2_95
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f30521,f3928,f2570,f3959]) ).
thf(f30524,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_147 ),
inference(constrained_superposition,[],[f28,f4291]) ).
thf(f30525,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f30524]) ).
thf(f30527,plain,
( spl2_127
| spl2_156
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f30525,f4290,f4740,f3655]) ).
thf(f30570,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_290 ),
inference(constrained_superposition,[],[f28,f7961]) ).
thf(f30571,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f30570]) ).
thf(f30572,plain,
( spl2_166
| spl2_301
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f30571,f7960,f8089,f5074]) ).
thf(f30592,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f198,f4285]) ).
thf(f30605,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f30592]) ).
thf(f30619,plain,
( spl2_108
| spl2_161
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f30605,f4284,f5002,f3227]) ).
thf(f30650,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_288 ),
inference(constrained_superposition,[],[f28,f7952]) ).
thf(f30652,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f30650]) ).
thf(f30653,plain,
( spl2_367
| spl2_335
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f30652,f7951,f9263,f11418]) ).
thf(f30679,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_150
| ~ spl2_156 ),
inference(constrained_superposition,[],[f4741,f4316]) ).
thf(f30686,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_150
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f30679]) ).
thf(f30689,plain,
( $false
| ~ spl2_150
| ~ spl2_156
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f30686,f7961]) ).
thf(f30690,plain,
( ~ spl2_150
| ~ spl2_156
| ~ spl2_290 ),
inference(avatar_contradiction_clause,[],[f30689]) ).
thf(f30708,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_124
| ~ spl2_384 ),
inference(constrained_superposition,[],[f13601,f3627]) ).
thf(f30709,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_31
| ~ spl2_384 ),
inference(constrained_superposition,[],[f13601,f323]) ).
thf(f30718,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_31
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f30709]) ).
thf(f30724,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_124
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f30708]) ).
thf(f30730,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_31
| ~ spl2_384 ),
inference(forward_subsumption_resolution,[],[f30718,f41]) ).
thf(f30734,plain,
( spl2_196
| ~ spl2_31
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f30730,f13600,f322,f5724]) ).
thf(f30740,plain,
( spl2_385
| spl2_7
| ~ spl2_324 ),
inference(avatar_split_clause,[],[f30514,f9204,f115,f13604]) ).
thf(f30741,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_124
| ~ spl2_384 ),
inference(forward_subsumption_resolution,[],[f30724,f41]) ).
thf(f30748,plain,
( spl2_201
| ~ spl2_124
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f30741,f13600,f3626,f5743]) ).
thf(f30750,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_219 ),
inference(constrained_superposition,[],[f28,f5816]) ).
thf(f30751,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f30750]) ).
thf(f30752,plain,
( spl2_412
| spl2_95
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f30751,f5815,f2570,f17235]) ).
thf(f30753,plain,
( $false
| ~ spl2_219
| ~ spl2_324
| ~ spl2_439 ),
inference(forward_subsumption_resolution,[],[f30515,f5816]) ).
thf(f30754,plain,
( ~ spl2_219
| ~ spl2_324
| ~ spl2_439 ),
inference(avatar_contradiction_clause,[],[f30753]) ).
thf(f30767,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_139
| ~ spl2_156 ),
inference(constrained_superposition,[],[f4741,f3996]) ).
thf(f30768,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f28,f3996]) ).
thf(f30769,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_139
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f30767]) ).
thf(f30770,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f30768]) ).
thf(f30771,plain,
( $false
| ~ spl2_139
| ~ spl2_156
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f30769,f5739]) ).
thf(f30772,plain,
( ~ spl2_139
| ~ spl2_156
| ~ spl2_200 ),
inference(avatar_contradiction_clause,[],[f30771]) ).
thf(f30773,plain,
( spl2_398
| spl2_127
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f30770,f3995,f3655,f14355]) ).
thf(f30782,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_211 ),
inference(constrained_superposition,[],[f28,f5782]) ).
thf(f30783,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f30782]) ).
thf(f30784,plain,
( spl2_7
| spl2_389
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f30783,f5781,f13622,f115]) ).
thf(f30785,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_176 ),
inference(constrained_superposition,[],[f28,f5360]) ).
thf(f30786,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f30785]) ).
thf(f30787,plain,
( spl2_166
| spl2_393
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f30786,f5359,f13923,f5074]) ).
thf(f30858,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f198,f2427]) ).
thf(f30878,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f30858]) ).
thf(f30884,plain,
( spl2_86
| spl2_108
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f30878,f2426,f3227,f2508]) ).
thf(f30899,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f96,f4287]) ).
thf(f30920,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f30899]) ).
thf(f30951,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f58,f7958]) ).
thf(f30959,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f30951]) ).
thf(f30999,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f58,f4275]) ).
thf(f31014,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f30999]) ).
thf(f31133,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_146
| ~ spl2_182 ),
inference(constrained_superposition,[],[f5487,f4285]) ).
thf(f31142,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_146
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f31133]) ).
thf(f31150,plain,
( $false
| ~ spl2_72
| ~ spl2_146
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f31142,f2420]) ).
thf(f31151,plain,
( ~ spl2_72
| ~ spl2_146
| ~ spl2_182 ),
inference(avatar_contradiction_clause,[],[f31150]) ).
thf(f31153,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_132
| spl2_194 ),
inference(forward_subsumption_resolution,[],[f30920,f30128]) ).
thf(f31156,plain,
( spl2_252
| ~ spl2_116
| ~ spl2_132
| spl2_194 ),
inference(avatar_split_clause,[],[f31153,f5715,f3768,f3541,f5985]) ).
thf(f31176,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_151
| ~ spl2_239 ),
inference(constrained_superposition,[],[f5912,f4320]) ).
thf(f31185,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_151
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f31176]) ).
thf(f31196,plain,
( ~ spl2_230
| ~ spl2_151
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f31185,f5911,f4319,f5864]) ).
thf(f31223,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_145
| ~ spl2_389 ),
inference(constrained_superposition,[],[f13623,f4282]) ).
thf(f31224,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl2_145 ),
inference(constrained_superposition,[],[f28,f4282]) ).
thf(f31225,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f31224]) ).
thf(f31226,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_145
| ~ spl2_389 ),
inference(trivial_inequality_removal,[],[f31223]) ).
thf(f31227,plain,
( spl2_284
| spl2_105
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f31225,f4281,f3174,f7716]) ).
thf(f31228,plain,
( $false
| ~ spl2_145
| ~ spl2_198
| ~ spl2_389 ),
inference(forward_subsumption_resolution,[],[f31226,f5732]) ).
thf(f31229,plain,
( ~ spl2_145
| ~ spl2_198
| ~ spl2_389 ),
inference(avatar_contradiction_clause,[],[f31228]) ).
thf(f31232,plain,
( spl2_211
| spl2_364
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f30959,f7957,f10909,f5781]) ).
thf(f31233,plain,
( spl2_241
| spl2_211
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f31014,f4274,f5781,f5923]) ).
thf(f31236,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_130 ),
inference(constrained_superposition,[],[f28,f3761]) ).
thf(f31237,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f31236]) ).
thf(f31238,plain,
( spl2_105
| spl2_404
| ~ spl2_130 ),
inference(avatar_split_clause,[],[f31237,f3760,f15920,f3174]) ).
thf(f31249,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_183 ),
inference(constrained_superposition,[],[f5490,f52]) ).
thf(f31253,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_183 ),
inference(trivial_inequality_removal,[],[f31249]) ).
thf(f31257,plain,
( spl2_280
| spl2_122
| spl2_183 ),
inference(avatar_split_clause,[],[f31253,f5489,f3571,f7432]) ).
thf(f31260,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_280 ),
inference(constrained_superposition,[],[f28,f7433]) ).
thf(f31261,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f31260]) ).
thf(f31263,plain,
( spl2_95
| spl2_306
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f31261,f7432,f8197,f2570]) ).
thf(f31274,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f96,f4285]) ).
thf(f31297,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f31274]) ).
thf(f31299,plain,
( spl2_188
| spl2_267
| ~ spl2_189
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f31297,f4284,f5692,f6611,f5689]) ).
thf(f31319,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f198,f4313]) ).
thf(f31324,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f58,f4313]) ).
thf(f31325,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_149
| ~ spl2_188 ),
inference(constrained_superposition,[],[f5690,f4313]) ).
thf(f31334,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_149
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f31325]) ).
thf(f31342,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f31319]) ).
thf(f31343,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f31324]) ).
thf(f31347,plain,
( ~ spl2_116
| ~ spl2_149
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f31334,f5689,f4312,f3541]) ).
thf(f31350,plain,
( spl2_175
| spl2_124
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f31342,f4312,f3626,f5299]) ).
thf(f31351,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_149
| spl2_201 ),
inference(forward_subsumption_resolution,[],[f31343,f29447]) ).
thf(f31353,plain,
( spl2_207
| ~ spl2_149
| spl2_201 ),
inference(avatar_split_clause,[],[f31351,f5743,f4312,f5766]) ).
thf(f31356,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_152 ),
inference(constrained_superposition,[],[f3656,f4323]) ).
thf(f31359,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ~ spl2_127
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f31356]) ).
thf(f31363,plain,
( ( $true != $true )
| ~ spl2_127
| ~ spl2_150
| ~ spl2_152 ),
inference(constrained_superposition,[],[f31359,f4316]) ).
thf(f31364,plain,
( ( $true != $true )
| ~ spl2_127
| ~ spl2_152
| ~ spl2_280 ),
inference(constrained_superposition,[],[f31359,f7433]) ).
thf(f31366,plain,
( $false
| ~ spl2_127
| ~ spl2_152
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f31364]) ).
thf(f31367,plain,
( ~ spl2_127
| ~ spl2_152
| ~ spl2_280 ),
inference(avatar_contradiction_clause,[],[f31366]) ).
thf(f31370,plain,
( $false
| ~ spl2_127
| ~ spl2_150
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f31363]) ).
thf(f31371,plain,
( ~ spl2_127
| ~ spl2_150
| ~ spl2_152 ),
inference(avatar_contradiction_clause,[],[f31370]) ).
cnf(s5,plain,
( spl2_6
| ~ spl2_12
| spl2_13 ),
inference(sat_conversion,[],[f159]) ).
cnf(s6,plain,
( spl2_12
| spl2_14
| spl2_15 ),
inference(sat_conversion,[],[f173]) ).
cnf(s7,plain,
( spl2_16
| spl2_17 ),
inference(sat_conversion,[],[f205]) ).
cnf(s8,plain,
( spl2_18
| spl2_19 ),
inference(sat_conversion,[],[f212]) ).
cnf(s10,plain,
( spl2_20
| spl2_21
| ~ spl2_22 ),
inference(sat_conversion,[],[f278]) ).
cnf(s11,plain,
( spl2_23
| ~ spl2_24
| spl2_25 ),
inference(sat_conversion,[],[f288]) ).
cnf(s13,plain,
( ~ spl2_6
| spl2_24
| spl2_27
| spl2_28
| spl2_29 ),
inference(sat_conversion,[],[f311]) ).
cnf(s14,plain,
( spl2_22
| spl2_30
| spl2_31 ),
inference(sat_conversion,[],[f324]) ).
cnf(s17,plain,
( ~ spl2_32
| spl2_33
| spl2_34 ),
inference(sat_conversion,[],[f381]) ).
cnf(s20,plain,
( spl2_28
| spl2_36 ),
inference(sat_conversion,[],[f400]) ).
cnf(s22,plain,
( ~ spl2_7
| spl2_24
| ~ spl2_28 ),
inference(sat_conversion,[],[f408]) ).
cnf(s24,plain,
( spl2_12
| spl2_19 ),
inference(sat_conversion,[],[f416]) ).
cnf(s33,plain,
( spl2_30
| spl2_37
| spl2_42 ),
inference(sat_conversion,[],[f470]) ).
cnf(s36,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_23
| ~ spl2_28 ),
inference(sat_conversion,[],[f498]) ).
cnf(s38,plain,
( ~ spl2_14
| ~ spl2_16
| spl2_29 ),
inference(sat_conversion,[],[f532]) ).
cnf(s40,plain,
( ~ spl2_28
| ~ spl2_29 ),
inference(sat_conversion,[],[f538]) ).
cnf(s43,plain,
( ~ spl2_7
| ~ spl2_28
| ~ spl2_40 ),
inference(sat_conversion,[],[f584]) ).
cnf(s45,plain,
( spl2_14
| ~ spl2_40
| spl2_45 ),
inference(sat_conversion,[],[f590]) ).
cnf(s48,plain,
( ~ spl2_7
| spl2_10
| ~ spl2_21
| ~ spl2_25
| ~ spl2_28 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s106,plain,
( spl2_30
| spl2_74
| spl2_75 ),
inference(sat_conversion,[],[f2431]) ).
cnf(s107,plain,
( spl2_30
| spl2_76
| spl2_77 ),
inference(sat_conversion,[],[f2438]) ).
cnf(s108,plain,
( spl2_30
| spl2_78
| spl2_79 ),
inference(sat_conversion,[],[f2445]) ).
cnf(s197,plain,
( spl2_81
| spl2_87
| spl2_104 ),
inference(sat_conversion,[],[f3102]) ).
cnf(s219,plain,
( ~ spl2_72
| spl2_88
| ~ spl2_96 ),
inference(sat_conversion,[],[f3413]) ).
cnf(s250,plain,
( spl2_92
| spl2_117
| spl2_121 ),
inference(sat_conversion,[],[f3575]) ).
cnf(s265,plain,
( ~ spl2_12
| ~ spl2_86
| ~ spl2_129
| spl2_130 ),
inference(sat_conversion,[],[f3762]) ).
cnf(s266,plain,
( ~ spl2_74
| ~ spl2_86
| ~ spl2_109
| ~ spl2_131 ),
inference(sat_conversion,[],[f3766]) ).
cnf(s267,plain,
( ~ spl2_77
| ~ spl2_86
| ~ spl2_116
| ~ spl2_132 ),
inference(sat_conversion,[],[f3770]) ).
cnf(s281,plain,
( ~ spl2_7
| ~ spl2_28
| spl2_30
| spl2_91 ),
inference(sat_conversion,[],[f3849]) ).
cnf(s284,plain,
( spl2_87
| spl2_132
| spl2_134 ),
inference(sat_conversion,[],[f3930]) ).
cnf(s295,plain,
( ~ spl2_12
| ~ spl2_125
| ~ spl2_138
| spl2_139 ),
inference(sat_conversion,[],[f3997]) ).
cnf(s306,plain,
( spl2_87
| spl2_143
| spl2_144 ),
inference(sat_conversion,[],[f4279]) ).
cnf(s309,plain,
( spl2_87
| spl2_147
| spl2_148 ),
inference(sat_conversion,[],[f4295]) ).
cnf(s313,plain,
( ~ spl2_77
| spl2_88
| ~ spl2_103 ),
inference(sat_conversion,[],[f4436]) ).
cnf(s314,plain,
( ~ spl2_74
| spl2_88
| ~ spl2_103 ),
inference(sat_conversion,[],[f4438]) ).
cnf(s349,plain,
( spl2_9
| spl2_49
| ~ spl2_142 ),
inference(sat_conversion,[],[f4611]) ).
cnf(s356,plain,
( spl2_130
| spl2_138 ),
inference(sat_conversion,[],[f4621]) ).
cnf(s370,plain,
( ~ spl2_100
| ~ spl2_124
| ~ spl2_147 ),
inference(sat_conversion,[],[f4744]) ).
cnf(s403,plain,
( spl2_81
| spl2_87
| spl2_104 ),
inference(sat_conversion,[],[f5027]) ).
cnf(s406,plain,
( ~ spl2_93
| ~ spl2_143
| spl2_162 ),
inference(sat_conversion,[],[f5048]) ).
cnf(s418,plain,
( spl2_162
| spl2_169 ),
inference(sat_conversion,[],[f5180]) ).
cnf(s419,plain,
( spl2_142
| spl2_162
| spl2_169 ),
inference(sat_conversion,[],[f5181]) ).
cnf(s432,plain,
( ~ spl2_12
| ~ spl2_138
| ~ spl2_161
| spl2_176 ),
inference(sat_conversion,[],[f5361]) ).
cnf(s437,plain,
( ~ spl2_12
| ~ spl2_175
| spl2_176
| ~ spl2_179 ),
inference(sat_conversion,[],[f5425]) ).
cnf(s440,plain,
( spl2_139
| spl2_179 ),
inference(sat_conversion,[],[f5439]) ).
cnf(s446,plain,
( ~ spl2_74
| ~ spl2_146
| spl2_182
| ~ spl2_183 ),
inference(sat_conversion,[],[f5491]) ).
cnf(s447,plain,
( ~ spl2_74
| ~ spl2_129
| spl2_130
| spl2_184 ),
inference(sat_conversion,[],[f5495]) ).
cnf(s448,plain,
( ~ spl2_72
| ~ spl2_138
| ~ spl2_184 ),
inference(sat_conversion,[],[f5518]) ).
cnf(s449,plain,
( ~ spl2_132
| ~ spl2_179
| ~ spl2_184 ),
inference(sat_conversion,[],[f5519]) ).
cnf(s451,plain,
( ~ spl2_7
| ~ spl2_85
| spl2_129 ),
inference(sat_conversion,[],[f5548]) ).
cnf(s453,plain,
( ~ spl2_7
| ~ spl2_80
| spl2_129 ),
inference(sat_conversion,[],[f5555]) ).
cnf(s461,plain,
( ~ spl2_75
| ~ spl2_100
| ~ spl2_108 ),
inference(sat_conversion,[],[f5622]) ).
cnf(s481,plain,
( ~ spl2_7
| ~ spl2_28
| ~ spl2_31 ),
inference(sat_conversion,[],[f5707]) ).
cnf(s482,plain,
( ~ spl2_109
| ~ spl2_148
| spl2_187
| spl2_193 ),
inference(sat_conversion,[],[f5711]) ).
cnf(s489,plain,
( ~ spl2_18
| ~ spl2_79
| spl2_108
| spl2_198
| ~ spl2_199 ),
inference(sat_conversion,[],[f5736]) ).
cnf(s490,plain,
( ~ spl2_18
| ~ spl2_24
| spl2_85
| ~ spl2_88
| spl2_200 ),
inference(sat_conversion,[],[f5740]) ).
cnf(s491,plain,
( ~ spl2_18
| spl2_85
| ~ spl2_148
| ~ spl2_199
| spl2_200 ),
inference(sat_conversion,[],[f5741]) ).
cnf(s492,plain,
( spl2_139
| ~ spl2_148
| spl2_201
| ~ spl2_202 ),
inference(sat_conversion,[],[f5748]) ).
cnf(s514,plain,
( spl2_31
| spl2_223 ),
inference(sat_conversion,[],[f5835]) ).
cnf(s522,plain,
( ~ spl2_4
| ~ spl2_23
| spl2_31 ),
inference(sat_conversion,[],[f5858]) ).
cnf(s526,plain,
( ~ spl2_36
| ~ spl2_170
| spl2_211 ),
inference(sat_conversion,[],[f5869]) ).
cnf(s538,plain,
( spl2_35
| ~ spl2_36
| ~ spl2_91
| spl2_219 ),
inference(sat_conversion,[],[f5896]) ).
cnf(s549,plain,
( spl2_16
| spl2_19
| spl2_40 ),
inference(sat_conversion,[],[f5926]) ).
cnf(s555,plain,
( ~ spl2_18
| spl2_31
| ~ spl2_91
| spl2_196
| ~ spl2_202 ),
inference(sat_conversion,[],[f5939]) ).
cnf(s568,plain,
( spl2_116
| spl2_124 ),
inference(sat_conversion,[],[f5980]) ).
cnf(s574,plain,
( ~ spl2_7
| ~ spl2_19
| spl2_47 ),
inference(sat_conversion,[],[f5992]) ).
cnf(s575,plain,
( ~ spl2_42
| ~ spl2_47 ),
inference(sat_conversion,[],[f6002]) ).
cnf(s578,plain,
( ~ spl2_31
| ~ spl2_121
| ~ spl2_128 ),
inference(sat_conversion,[],[f6030]) ).
cnf(s579,plain,
( ~ spl2_31
| ~ spl2_104
| ~ spl2_111 ),
inference(sat_conversion,[],[f6032]) ).
cnf(s582,plain,
( spl2_28
| spl2_87
| spl2_104
| spl2_196
| spl2_198 ),
inference(sat_conversion,[],[f6038]) ).
cnf(s589,plain,
( spl2_200
| spl2_202 ),
inference(sat_conversion,[],[f6056]) ).
cnf(s591,plain,
( spl2_85
| spl2_109 ),
inference(sat_conversion,[],[f6065]) ).
cnf(s593,plain,
( spl2_85
| spl2_87
| spl2_109 ),
inference(sat_conversion,[],[f6067]) ).
cnf(s594,plain,
( ~ spl2_47
| ~ spl2_187 ),
inference(sat_conversion,[],[f6069]) ).
cnf(s595,plain,
( ~ spl2_19
| ~ spl2_111
| ~ spl2_198 ),
inference(sat_conversion,[],[f6080]) ).
cnf(s598,plain,
( ~ spl2_19
| ~ spl2_100
| ~ spl2_200 ),
inference(sat_conversion,[],[f6105]) ).
cnf(s604,plain,
( ~ spl2_31
| ~ spl2_80
| ~ spl2_100 ),
inference(sat_conversion,[],[f6141]) ).
cnf(s605,plain,
( spl2_199
| spl2_201 ),
inference(sat_conversion,[],[f6159]) ).
cnf(s607,plain,
( ~ spl2_7
| spl2_196
| ~ spl2_225
| spl2_258 ),
inference(sat_conversion,[],[f6197]) ).
cnf(s608,plain,
( ~ spl2_80
| ~ spl2_220
| ~ spl2_225 ),
inference(sat_conversion,[],[f6204]) ).
cnf(s610,plain,
( spl2_91
| spl2_220 ),
inference(sat_conversion,[],[f6208]) ).
cnf(s612,plain,
( spl2_30
| spl2_91
| spl2_220 ),
inference(sat_conversion,[],[f6211]) ).
cnf(s614,plain,
( spl2_80
| spl2_88 ),
inference(sat_conversion,[],[f6214]) ).
cnf(s616,plain,
( spl2_30
| spl2_80
| spl2_88 ),
inference(sat_conversion,[],[f6217]) ).
cnf(s618,plain,
( spl2_29
| ~ spl2_196
| ~ spl2_225 ),
inference(sat_conversion,[],[f6226]) ).
cnf(s620,plain,
( ~ spl2_35
| ~ spl2_88
| ~ spl2_129 ),
inference(sat_conversion,[],[f6268]) ).
cnf(s622,plain,
( ~ spl2_47
| ~ spl2_88
| ~ spl2_109
| spl2_193 ),
inference(sat_conversion,[],[f6273]) ).
cnf(s624,plain,
( ~ spl2_7
| ~ spl2_80
| ~ spl2_219 ),
inference(sat_conversion,[],[f6282]) ).
cnf(s629,plain,
( ~ spl2_19
| ~ spl2_177
| ~ spl2_211 ),
inference(sat_conversion,[],[f6319]) ).
cnf(s630,plain,
( ~ spl2_37
| spl2_160
| ~ spl2_170 ),
inference(sat_conversion,[],[f6321]) ).
cnf(s633,plain,
( ~ spl2_12
| ~ spl2_35
| spl2_42 ),
inference(sat_conversion,[],[f6351]) ).
cnf(s638,plain,
( spl2_30
| spl2_37
| spl2_42 ),
inference(sat_conversion,[],[f6370]) ).
cnf(s644,plain,
( ~ spl2_7
| ~ spl2_176
| ~ spl2_211 ),
inference(sat_conversion,[],[f6398]) ).
cnf(s645,plain,
( spl2_16
| ~ spl2_27
| ~ spl2_80
| spl2_200
| spl2_219 ),
inference(sat_conversion,[],[f6417]) ).
cnf(s647,plain,
( ~ spl2_108
| ~ spl2_231
| ~ spl2_262 ),
inference(sat_conversion,[],[f6437]) ).
cnf(s649,plain,
( ~ spl2_80
| ~ spl2_95
| ~ spl2_196 ),
inference(sat_conversion,[],[f6460]) ).
cnf(s650,plain,
( ~ spl2_31
| ~ spl2_80
| ~ spl2_95 ),
inference(sat_conversion,[],[f6462]) ).
cnf(s651,plain,
( ~ spl2_80
| ~ spl2_95
| ~ spl2_220 ),
inference(sat_conversion,[],[f6465]) ).
cnf(s653,plain,
( ~ spl2_85
| ~ spl2_220
| ~ spl2_262 ),
inference(sat_conversion,[],[f6484]) ).
cnf(s660,plain,
( ~ spl2_24
| spl2_80
| ~ spl2_214 ),
inference(sat_conversion,[],[f6544]) ).
cnf(s678,plain,
( spl2_29
| ~ spl2_105
| ~ spl2_198 ),
inference(sat_conversion,[],[f6693]) ).
cnf(s679,plain,
( spl2_47
| ~ spl2_105
| ~ spl2_108 ),
inference(sat_conversion,[],[f6694]) ).
cnf(s680,plain,
( ~ spl2_42
| ~ spl2_220
| ~ spl2_265 ),
inference(sat_conversion,[],[f6708]) ).
cnf(s681,plain,
( spl2_29
| ~ spl2_95
| ~ spl2_200 ),
inference(sat_conversion,[],[f6715]) ).
cnf(s682,plain,
( ~ spl2_36
| ~ spl2_184
| spl2_220 ),
inference(sat_conversion,[],[f6716]) ).
cnf(s684,plain,
( ~ spl2_7
| ~ spl2_200
| ~ spl2_219 ),
inference(sat_conversion,[],[f6731]) ).
cnf(s687,plain,
( ~ spl2_74
| ~ spl2_84
| ~ spl2_193 ),
inference(sat_conversion,[],[f6819]) ).
cnf(s704,plain,
( ~ spl2_10
| ~ spl2_220
| ~ spl2_265 ),
inference(sat_conversion,[],[f6927]) ).
cnf(s711,plain,
( ~ spl2_74
| ~ spl2_81
| ~ spl2_110 ),
inference(sat_conversion,[],[f6978]) ).
cnf(s713,plain,
( spl2_29
| ~ spl2_127
| ~ spl2_201 ),
inference(sat_conversion,[],[f6995]) ).
cnf(s723,plain,
( ~ spl2_110
| ~ spl2_117
| ~ spl2_148 ),
inference(sat_conversion,[],[f7068]) ).
cnf(s726,plain,
( ~ spl2_73
| ~ spl2_231
| ~ spl2_257 ),
inference(sat_conversion,[],[f7099]) ).
cnf(s729,plain,
( ~ spl2_73
| ~ spl2_85
| ~ spl2_111 ),
inference(sat_conversion,[],[f7152]) ).
cnf(s730,plain,
( ~ spl2_31
| ~ spl2_194
| ~ spl2_257 ),
inference(sat_conversion,[],[f7155]) ).
cnf(s734,plain,
( ~ spl2_22
| spl2_104
| ~ spl2_192 ),
inference(sat_conversion,[],[f7249]) ).
cnf(s741,plain,
( ~ spl2_116
| ~ spl2_148
| ~ spl2_193 ),
inference(sat_conversion,[],[f7320]) ).
cnf(s750,plain,
( ~ spl2_73
| ~ spl2_77
| ~ spl2_117
| spl2_120
| ~ spl2_257 ),
inference(sat_conversion,[],[f7368]) ).
cnf(s752,plain,
( ~ spl2_78
| ~ spl2_111
| ~ spl2_124 ),
inference(sat_conversion,[],[f7391]) ).
cnf(s756,plain,
( ~ spl2_79
| ~ spl2_81
| spl2_93
| ~ spl2_134
| ~ spl2_257 ),
inference(sat_conversion,[],[f7422]) ).
cnf(s758,plain,
( spl2_92
| spl2_183
| spl2_280 ),
inference(sat_conversion,[],[f7435]) ).
cnf(s761,plain,
( ~ spl2_79
| ~ spl2_93
| ~ spl2_117 ),
inference(sat_conversion,[],[f7458]) ).
cnf(s767,plain,
( ~ spl2_76
| ~ spl2_108
| ~ spl2_128 ),
inference(sat_conversion,[],[f7493]) ).
cnf(s770,plain,
( ~ spl2_73
| ~ spl2_80
| ~ spl2_236 ),
inference(sat_conversion,[],[f7533]) ).
cnf(s784,plain,
( ~ spl2_49
| ~ spl2_108
| ~ spl2_111 ),
inference(sat_conversion,[],[f7664]) ).
cnf(s786,plain,
( ~ spl2_49
| ~ spl2_124
| ~ spl2_128 ),
inference(sat_conversion,[],[f7666]) ).
cnf(s788,plain,
( ~ spl2_49
| ~ spl2_194
| ~ spl2_265 ),
inference(sat_conversion,[],[f7668]) ).
cnf(s789,plain,
( spl2_9
| spl2_49
| ~ spl2_279 ),
inference(sat_conversion,[],[f7670]) ).
cnf(s792,plain,
( ~ spl2_34
| ~ spl2_73
| ~ spl2_257 ),
inference(sat_conversion,[],[f7683]) ).
cnf(s793,plain,
( ~ spl2_34
| ~ spl2_134
| ~ spl2_257 ),
inference(sat_conversion,[],[f7690]) ).
cnf(s821,plain,
( spl2_211
| spl2_230 ),
inference(sat_conversion,[],[f8063]) ).
cnf(s823,plain,
( spl2_176
| ~ spl2_183
| ~ spl2_184 ),
inference(sat_conversion,[],[f8075]) ).
cnf(s827,plain,
( ~ spl2_189
| ~ spl2_193
| ~ spl2_289 ),
inference(sat_conversion,[],[f8121]) ).
cnf(s832,plain,
( ~ spl2_111
| ~ spl2_144
| spl2_189
| spl2_279 ),
inference(sat_conversion,[],[f8143]) ).
cnf(s833,plain,
( spl2_160
| spl2_189 ),
inference(sat_conversion,[],[f8144]) ).
cnf(s835,plain,
( spl2_160
| spl2_189
| spl2_279 ),
inference(sat_conversion,[],[f8149]) ).
cnf(s847,plain,
( ~ spl2_94
| ~ spl2_108
| ~ spl2_194 ),
inference(sat_conversion,[],[f8249]) ).
cnf(s848,plain,
( ~ spl2_22
| spl2_80
| ~ spl2_193 ),
inference(sat_conversion,[],[f8250]) ).
cnf(s850,plain,
( spl2_4
| spl2_16 ),
inference(sat_conversion,[],[f8257]) ).
cnf(s858,plain,
( spl2_22
| spl2_30
| spl2_31 ),
inference(sat_conversion,[],[f8286]) ).
cnf(s860,plain,
( ~ spl2_29
| spl2_129 ),
inference(sat_conversion,[],[f8304]) ).
cnf(s861,plain,
( spl2_129
| spl2_219 ),
inference(sat_conversion,[],[f8306]) ).
cnf(s870,plain,
( ~ spl2_12
| ~ spl2_193
| spl2_200 ),
inference(sat_conversion,[],[f8322]) ).
cnf(s876,plain,
( ~ spl2_130
| ~ spl2_196
| ~ spl2_261 ),
inference(sat_conversion,[],[f8362]) ).
cnf(s878,plain,
( ~ spl2_36
| ~ spl2_93
| spl2_198 ),
inference(sat_conversion,[],[f8365]) ).
cnf(s881,plain,
( spl2_198
| spl2_205 ),
inference(sat_conversion,[],[f8371]) ).
cnf(s887,plain,
( ~ spl2_7
| ~ spl2_108
| ~ spl2_130 ),
inference(sat_conversion,[],[f8391]) ).
cnf(s889,plain,
( ~ spl2_7
| ~ spl2_78
| ~ spl2_130 ),
inference(sat_conversion,[],[f8397]) ).
cnf(s894,plain,
( ~ spl2_74
| ~ spl2_205
| ~ spl2_214 ),
inference(sat_conversion,[],[f8467]) ).
cnf(s906,plain,
( ~ spl2_7
| ~ spl2_130
| ~ spl2_198 ),
inference(sat_conversion,[],[f8550]) ).
cnf(s907,plain,
( spl2_24
| spl2_196 ),
inference(sat_conversion,[],[f8551]) ).
cnf(s912,plain,
( spl2_31
| ~ spl2_88
| spl2_190 ),
inference(sat_conversion,[],[f8557]) ).
cnf(s915,plain,
( spl2_16
| spl2_196
| ~ spl2_200
| ~ spl2_220
| ~ spl2_238
| ~ spl2_265 ),
inference(sat_conversion,[],[f8561]) ).
cnf(s922,plain,
( ~ spl2_27
| ~ spl2_121
| ~ spl2_187 ),
inference(sat_conversion,[],[f8616]) ).
cnf(s923,plain,
( ~ spl2_22
| spl2_121
| ~ spl2_252 ),
inference(sat_conversion,[],[f8617]) ).
cnf(s930,plain,
( ~ spl2_162
| ~ spl2_238
| ~ spl2_290 ),
inference(sat_conversion,[],[f8769]) ).
cnf(s932,plain,
( ~ spl2_100
| ~ spl2_160
| ~ spl2_290 ),
inference(sat_conversion,[],[f8773]) ).
cnf(s934,plain,
( ~ spl2_88
| spl2_110
| ~ spl2_257
| ~ spl2_280
| ~ spl2_289 ),
inference(sat_conversion,[],[f8803]) ).
cnf(s937,plain,
( ~ spl2_7
| ~ spl2_130
| ~ spl2_144 ),
inference(sat_conversion,[],[f8842]) ).
cnf(s947,plain,
( spl2_47
| ~ spl2_160
| ~ spl2_166 ),
inference(sat_conversion,[],[f8942]) ).
cnf(s952,plain,
( ~ spl2_106
| ~ spl2_130
| ~ spl2_200 ),
inference(sat_conversion,[],[f9000]) ).
cnf(s957,plain,
( ~ spl2_150
| ~ spl2_254
| ~ spl2_269 ),
inference(sat_conversion,[],[f9087]) ).
cnf(s960,plain,
( ~ spl2_150
| ~ spl2_191
| ~ spl2_316 ),
inference(sat_conversion,[],[f9092]) ).
cnf(s987,plain,
( spl2_329
| spl2_337 ),
inference(sat_conversion,[],[f9341]) ).
cnf(s993,plain,
( ~ spl2_124
| ~ spl2_136
| ~ spl2_194 ),
inference(sat_conversion,[],[f9382]) ).
cnf(s994,plain,
( ~ spl2_85
| ~ spl2_156
| ~ spl2_187 ),
inference(sat_conversion,[],[f9395]) ).
cnf(s998,plain,
( ~ spl2_72
| ~ spl2_81
| ~ spl2_205
| ~ spl2_218 ),
inference(sat_conversion,[],[f9528]) ).
cnf(s1008,plain,
( ~ spl2_122
| spl2_131
| ~ spl2_289 ),
inference(sat_conversion,[],[f9665]) ).
cnf(s1019,plain,
( ~ spl2_22
| spl2_116
| ~ spl2_122 ),
inference(sat_conversion,[],[f9687]) ).
cnf(s1022,plain,
( spl2_32
| ~ spl2_122
| ~ spl2_220
| ~ spl2_257 ),
inference(sat_conversion,[],[f9692]) ).
cnf(s1039,plain,
( ~ spl2_115
| ~ spl2_130
| ~ spl2_201 ),
inference(sat_conversion,[],[f9869]) ).
cnf(s1040,plain,
( ~ spl2_115
| ~ spl2_124
| ~ spl2_267 ),
inference(sat_conversion,[],[f9871]) ).
cnf(s1043,plain,
( ~ spl2_160
| ~ spl2_194
| ~ spl2_306 ),
inference(sat_conversion,[],[f9909]) ).
cnf(s1045,plain,
( ~ spl2_12
| ~ spl2_36
| ~ spl2_190
| spl2_219 ),
inference(sat_conversion,[],[f9932]) ).
cnf(s1046,plain,
( ~ spl2_72
| ~ spl2_81
| ~ spl2_84
| ~ spl2_190 ),
inference(sat_conversion,[],[f9933]) ).
cnf(s1048,plain,
( ~ spl2_29
| ~ spl2_130 ),
inference(sat_conversion,[],[f9940]) ).
cnf(s1058,plain,
( ~ spl2_42
| ~ spl2_124
| ~ spl2_245 ),
inference(sat_conversion,[],[f9974]) ).
cnf(s1059,plain,
( ~ spl2_42
| ~ spl2_246
| ~ spl2_316 ),
inference(sat_conversion,[],[f9982]) ).
cnf(s1069,plain,
( ~ spl2_124
| ~ spl2_246
| ~ spl2_262 ),
inference(sat_conversion,[],[f10017]) ).
cnf(s1071,plain,
( ~ spl2_27
| ~ spl2_42
| ~ spl2_49 ),
inference(sat_conversion,[],[f10019]) ).
cnf(s1111,plain,
( ~ spl2_45
| ~ spl2_108
| ~ spl2_145
| spl2_211 ),
inference(sat_conversion,[],[f10190]) ).
cnf(s1121,plain,
( ~ spl2_293
| spl2_324
| spl2_359 ),
inference(sat_conversion,[],[f10216]) ).
cnf(s1127,plain,
( ~ spl2_9
| spl2_283 ),
inference(sat_conversion,[],[f10277]) ).
cnf(s1132,plain,
( ~ spl2_103
| spl2_131
| ~ spl2_132 ),
inference(sat_conversion,[],[f10379]) ).
cnf(s1140,plain,
( spl2_32
| ~ spl2_103
| ~ spl2_220
| ~ spl2_257 ),
inference(sat_conversion,[],[f10389]) ).
cnf(s1143,plain,
( ~ spl2_139
| ~ spl2_196
| ~ spl2_269 ),
inference(sat_conversion,[],[f10428]) ).
cnf(s1150,plain,
( ~ spl2_45
| ~ spl2_76
| ~ spl2_108
| spl2_201 ),
inference(sat_conversion,[],[f10435]) ).
cnf(s1152,plain,
( ~ spl2_7
| ~ spl2_76
| ~ spl2_139 ),
inference(sat_conversion,[],[f10441]) ).
cnf(s1159,plain,
( ~ spl2_7
| spl2_116
| ~ spl2_139 ),
inference(sat_conversion,[],[f10479]) ).
cnf(s1163,plain,
( ~ spl2_7
| spl2_87
| spl2_132
| ~ spl2_139 ),
inference(sat_conversion,[],[f10486]) ).
cnf(s1168,plain,
( ~ spl2_94
| ~ spl2_104
| ~ spl2_220 ),
inference(sat_conversion,[],[f10513]) ).
cnf(s1175,plain,
( ~ spl2_74
| spl2_130
| spl2_198
| ~ spl2_202 ),
inference(sat_conversion,[],[f10522]) ).
cnf(s1177,plain,
( spl2_28
| ~ spl2_88
| ~ spl2_202
| spl2_214 ),
inference(sat_conversion,[],[f10525]) ).
cnf(s1191,plain,
( ~ spl2_134
| ~ spl2_246
| ~ spl2_257 ),
inference(sat_conversion,[],[f10653]) ).
cnf(s1193,plain,
( ~ spl2_45
| ~ spl2_85
| ~ spl2_134
| spl2_201 ),
inference(sat_conversion,[],[f10656]) ).
cnf(s1196,plain,
( ~ spl2_95
| ~ spl2_134
| ~ spl2_147 ),
inference(sat_conversion,[],[f10678]) ).
cnf(s1197,plain,
( ~ spl2_95
| ~ spl2_124
| ~ spl2_147 ),
inference(sat_conversion,[],[f10680]) ).
cnf(s1202,plain,
( spl2_92
| spl2_117
| spl2_121 ),
inference(sat_conversion,[],[f10700]) ).
cnf(s1204,plain,
( ~ spl2_148
| ~ spl2_199
| ~ spl2_214 ),
inference(sat_conversion,[],[f10739]) ).
cnf(s1207,plain,
( ~ spl2_47
| ~ spl2_325 ),
inference(sat_conversion,[],[f10749]) ).
cnf(s1227,plain,
( spl2_176
| ~ spl2_202
| spl2_211
| ~ spl2_289 ),
inference(sat_conversion,[],[f10914]) ).
cnf(s1239,plain,
( spl2_327
| spl2_353 ),
inference(sat_conversion,[],[f10964]) ).
cnf(s1243,plain,
( ~ spl2_78
| ~ spl2_121
| ~ spl2_236 ),
inference(sat_conversion,[],[f10990]) ).
cnf(s1247,plain,
( ~ spl2_77
| ~ spl2_84
| ~ spl2_252 ),
inference(sat_conversion,[],[f11042]) ).
cnf(s1250,plain,
( ~ spl2_76
| ~ spl2_246
| ~ spl2_261 ),
inference(sat_conversion,[],[f11065]) ).
cnf(s1263,plain,
( ~ spl2_84
| ~ spl2_146
| ~ spl2_188 ),
inference(sat_conversion,[],[f11274]) ).
cnf(s1273,plain,
( ~ spl2_192
| ~ spl2_287
| ~ spl2_337 ),
inference(sat_conversion,[],[f11450]) ).
cnf(s1283,plain,
( ~ spl2_136
| ~ spl2_152
| ~ spl2_280 ),
inference(sat_conversion,[],[f11560]) ).
cnf(s1322,plain,
( ~ spl2_7
| ~ spl2_47
| ~ spl2_85
| spl2_200 ),
inference(sat_conversion,[],[f11958]) ).
cnf(s1325,plain,
( ~ spl2_4
| spl2_85
| ~ spl2_214 ),
inference(sat_conversion,[],[f11961]) ).
cnf(s1331,plain,
( ~ spl2_12
| ~ spl2_184
| spl2_194 ),
inference(sat_conversion,[],[f11969]) ).
cnf(s1336,plain,
( spl2_47
| ~ spl2_85
| ~ spl2_95 ),
inference(sat_conversion,[],[f11995]) ).
cnf(s1351,plain,
( ~ spl2_79
| ~ spl2_116
| ~ spl2_192 ),
inference(sat_conversion,[],[f12010]) ).
cnf(s1352,plain,
( ~ spl2_151
| spl2_176
| ~ spl2_199
| spl2_211 ),
inference(sat_conversion,[],[f12011]) ).
cnf(s1356,plain,
( ~ spl2_4
| spl2_160
| ~ spl2_240 ),
inference(sat_conversion,[],[f12015]) ).
cnf(s1362,plain,
( spl2_139
| ~ spl2_149
| spl2_201
| ~ spl2_230 ),
inference(sat_conversion,[],[f12021]) ).
cnf(s1373,plain,
( spl2_84
| spl2_92
| spl2_108 ),
inference(sat_conversion,[],[f12067]) ).
cnf(s1374,plain,
( ~ spl2_42
| ~ spl2_108
| ~ spl2_236 ),
inference(sat_conversion,[],[f12077]) ).
cnf(s1382,plain,
( ~ spl2_22
| spl2_84
| ~ spl2_103 ),
inference(sat_conversion,[],[f12194]) ).
cnf(s1408,plain,
( ~ spl2_7
| ~ spl2_139
| ~ spl2_201 ),
inference(sat_conversion,[],[f12250]) ).
cnf(s1428,plain,
~ spl2_92,
inference(sat_conversion,[],[f12408]) ).
cnf(s1429,plain,
( spl2_92
| spl2_291
| spl2_292 ),
inference(sat_conversion,[],[f12423]) ).
cnf(s1430,plain,
( spl2_92
| spl2_287
| spl2_288 ),
inference(sat_conversion,[],[f12424]) ).
cnf(s1431,plain,
( spl2_92
| spl2_289
| spl2_290 ),
inference(sat_conversion,[],[f12425]) ).
cnf(s1449,plain,
( ~ spl2_9
| ~ spl2_11 ),
inference(sat_conversion,[],[f12501]) ).
cnf(s1450,plain,
( ~ spl2_27
| ~ spl2_104
| ~ spl2_267 ),
inference(sat_conversion,[],[f12515]) ).
cnf(s1455,plain,
( ~ spl2_75
| ~ spl2_95
| ~ spl2_198 ),
inference(sat_conversion,[],[f12567]) ).
cnf(s1456,plain,
( ~ spl2_73
| ~ spl2_75
| ~ spl2_95 ),
inference(sat_conversion,[],[f12570]) ).
cnf(s1457,plain,
( ~ spl2_75
| ~ spl2_95
| ~ spl2_108 ),
inference(sat_conversion,[],[f12572]) ).
cnf(s1461,plain,
( spl2_92
| spl2_183
| spl2_280 ),
inference(sat_conversion,[],[f12580]) ).
cnf(s1470,plain,
( ~ spl2_96
| spl2_198
| ~ spl2_201 ),
inference(sat_conversion,[],[f12691]) ).
cnf(s1475,plain,
( ~ spl2_96
| ~ spl2_220
| spl2_375 ),
inference(sat_conversion,[],[f12699]) ).
cnf(s1498,plain,
( ~ spl2_73
| ~ spl2_75
| ~ spl2_105 ),
inference(sat_conversion,[],[f12822]) ).
cnf(s1507,plain,
( spl2_30
| ~ spl2_75
| spl2_200
| ~ spl2_258 ),
inference(sat_conversion,[],[f12917]) ).
cnf(s1508,plain,
( spl2_30
| ~ spl2_147
| spl2_200
| ~ spl2_258 ),
inference(sat_conversion,[],[f12918]) ).
cnf(s1517,plain,
( ~ spl2_12
| ~ spl2_192
| spl2_198 ),
inference(sat_conversion,[],[f12978]) ).
cnf(s1518,plain,
( ~ spl2_132
| ~ spl2_202
| ~ spl2_239 ),
inference(sat_conversion,[],[f12995]) ).
cnf(s1546,plain,
( ~ spl2_109
| ~ spl2_132
| ~ spl2_252 ),
inference(sat_conversion,[],[f13209]) ).
cnf(s1551,plain,
( spl2_16
| ~ spl2_75
| spl2_200
| spl2_219
| ~ spl2_268 ),
inference(sat_conversion,[],[f13216]) ).
cnf(s1575,plain,
( ~ spl2_94
| ~ spl2_144
| ~ spl2_280 ),
inference(sat_conversion,[],[f13355]) ).
cnf(s1585,plain,
( ~ spl2_106
| ~ spl2_145
| ~ spl2_290 ),
inference(sat_conversion,[],[f13421]) ).
cnf(s1586,plain,
( ~ spl2_76
| ~ spl2_106
| ~ spl2_147 ),
inference(sat_conversion,[],[f13423]) ).
cnf(s1593,plain,
( ~ spl2_14
| ~ spl2_42
| ~ spl2_196 ),
inference(sat_conversion,[],[f13465]) ).
cnf(s1594,plain,
( ~ spl2_14
| ~ spl2_42
| ~ spl2_220 ),
inference(sat_conversion,[],[f13467]) ).
cnf(s1595,plain,
( ~ spl2_14
| ~ spl2_31
| ~ spl2_42 ),
inference(sat_conversion,[],[f13469]) ).
cnf(s1596,plain,
( ~ spl2_78
| ~ spl2_94
| ~ spl2_134 ),
inference(sat_conversion,[],[f13471]) ).
cnf(s1601,plain,
( ~ spl2_196
| ~ spl2_219
| ~ spl2_257 ),
inference(sat_conversion,[],[f13490]) ).
cnf(s1602,plain,
( ~ spl2_7
| ~ spl2_147
| ~ spl2_219 ),
inference(sat_conversion,[],[f13499]) ).
cnf(s1603,plain,
( ~ spl2_7
| ~ spl2_75
| ~ spl2_219 ),
inference(sat_conversion,[],[f13501]) ).
cnf(s1606,plain,
( ~ spl2_7
| spl2_74
| spl2_96
| ~ spl2_219 ),
inference(sat_conversion,[],[f13508]) ).
cnf(s1609,plain,
( ~ spl2_29
| ~ spl2_219 ),
inference(sat_conversion,[],[f13518]) ).
cnf(s1612,plain,
( ~ spl2_29
| spl2_75
| spl2_96
| spl2_198
| ~ spl2_202 ),
inference(sat_conversion,[],[f13523]) ).
cnf(s1624,plain,
( ~ spl2_14
| ~ spl2_194
| ~ spl2_200 ),
inference(sat_conversion,[],[f13594]) ).
cnf(s1625,plain,
( ~ spl2_19
| ~ spl2_29 ),
inference(sat_conversion,[],[f13598]) ).
cnf(s1626,plain,
( ~ spl2_14
| spl2_16
| ~ spl2_29
| spl2_384 ),
inference(sat_conversion,[],[f13602]) ).
cnf(s1653,plain,
( ~ spl2_198
| ~ spl2_231
| ~ spl2_388 ),
inference(sat_conversion,[],[f13777]) ).
cnf(s1655,plain,
( ~ spl2_16
| ~ spl2_47 ),
inference(sat_conversion,[],[f13780]) ).
cnf(s1657,plain,
( spl2_28
| ~ spl2_88
| spl2_196
| ~ spl2_202 ),
inference(sat_conversion,[],[f13787]) ).
cnf(s1658,plain,
( ~ spl2_15
| ~ spl2_124
| ~ spl2_139 ),
inference(sat_conversion,[],[f13789]) ).
cnf(s1659,plain,
( spl2_28
| spl2_92
| spl2_121
| spl2_196
| spl2_201 ),
inference(sat_conversion,[],[f13791]) ).
cnf(s1689,plain,
( ~ spl2_196
| ~ spl2_375
| ~ spl2_388 ),
inference(sat_conversion,[],[f13897]) ).
cnf(s1701,plain,
( ~ spl2_201
| ~ spl2_246
| ~ spl2_388 ),
inference(sat_conversion,[],[f14030]) ).
cnf(s1702,plain,
( ~ spl2_47
| ~ spl2_194 ),
inference(sat_conversion,[],[f14032]) ).
cnf(s1712,plain,
( spl2_31
| ~ spl2_33
| ~ spl2_37 ),
inference(sat_conversion,[],[f14089]) ).
cnf(s1713,plain,
( ~ spl2_34
| ~ spl2_201
| ~ spl2_388 ),
inference(sat_conversion,[],[f14100]) ).
cnf(s1714,plain,
( ~ spl2_34
| ~ spl2_198
| ~ spl2_388 ),
inference(sat_conversion,[],[f14102]) ).
cnf(s1716,plain,
( ~ spl2_104
| ~ spl2_196
| ~ spl2_390 ),
inference(sat_conversion,[],[f14118]) ).
cnf(s1717,plain,
( ~ spl2_144
| ~ spl2_211
| ~ spl2_390 ),
inference(sat_conversion,[],[f14120]) ).
cnf(s1723,plain,
( spl2_92
| spl2_139
| spl2_196
| spl2_201
| spl2_246 ),
inference(sat_conversion,[],[f14126]) ).
cnf(s1735,plain,
( ~ spl2_95
| ~ spl2_96
| spl2_225 ),
inference(sat_conversion,[],[f14223]) ).
cnf(s1737,plain,
( spl2_81
| ~ spl2_88
| ~ spl2_96 ),
inference(sat_conversion,[],[f14229]) ).
cnf(s1745,plain,
( ~ spl2_96
| spl2_103 ),
inference(sat_conversion,[],[f14238]) ).
cnf(s1746,plain,
( spl2_32
| ~ spl2_96
| spl2_375 ),
inference(sat_conversion,[],[f14239]) ).
cnf(s1760,plain,
( ~ spl2_15
| ~ spl2_28
| ~ spl2_31 ),
inference(sat_conversion,[],[f14281]) ).
cnf(s1761,plain,
( ~ spl2_16
| ~ spl2_31
| ~ spl2_388 ),
inference(sat_conversion,[],[f14283]) ).
cnf(s1766,plain,
( ~ spl2_8
| ~ spl2_42
| ~ spl2_196 ),
inference(sat_conversion,[],[f14338]) ).
cnf(s1768,plain,
( ~ spl2_32
| spl2_196
| spl2_227 ),
inference(sat_conversion,[],[f14341]) ).
cnf(s1770,plain,
( ~ spl2_19
| ~ spl2_42
| ~ spl2_392 ),
inference(sat_conversion,[],[f14371]) ).
cnf(s1776,plain,
( ~ spl2_104
| ~ spl2_225
| ~ spl2_231 ),
inference(sat_conversion,[],[f14443]) ).
cnf(s1777,plain,
( ~ spl2_144
| ~ spl2_225
| ~ spl2_231 ),
inference(sat_conversion,[],[f14446]) ).
cnf(s1806,plain,
( ~ spl2_15
| ~ spl2_19
| ~ spl2_49 ),
inference(sat_conversion,[],[f14569]) ).
cnf(s1808,plain,
~ spl2_87,
inference(sat_conversion,[],[f14587]) ).
cnf(s1811,plain,
( spl2_87
| spl2_145
| spl2_146 ),
inference(sat_conversion,[],[f14608]) ).
cnf(s1812,plain,
( ~ spl2_24
| spl2_87
| spl2_130
| spl2_198
| spl2_231 ),
inference(sat_conversion,[],[f14609]) ).
cnf(s1813,plain,
( spl2_87
| spl2_130
| spl2_196
| spl2_198
| spl2_231 ),
inference(sat_conversion,[],[f14610]) ).
cnf(s1814,plain,
( spl2_87
| spl2_143
| spl2_144 ),
inference(sat_conversion,[],[f14611]) ).
cnf(s1815,plain,
( spl2_87
| spl2_132
| spl2_134 ),
inference(sat_conversion,[],[f14612]) ).
cnf(s1816,plain,
( spl2_87
| spl2_147
| spl2_148 ),
inference(sat_conversion,[],[f14613]) ).
cnf(s1835,plain,
( ~ spl2_14
| ~ spl2_104
| ~ spl2_267 ),
inference(sat_conversion,[],[f14717]) ).
cnf(s1854,plain,
( ~ spl2_47
| ~ spl2_72
| ~ spl2_84
| spl2_192 ),
inference(sat_conversion,[],[f14822]) ).
cnf(s1855,plain,
( ~ spl2_75
| ~ spl2_95
| ~ spl2_104 ),
inference(sat_conversion,[],[f14832]) ).
cnf(s1870,plain,
( ~ spl2_72
| ~ spl2_81
| ~ spl2_401 ),
inference(sat_conversion,[],[f15003]) ).
cnf(s1871,plain,
( ~ spl2_117
| ~ spl2_132
| ~ spl2_401 ),
inference(sat_conversion,[],[f15004]) ).
cnf(s1873,plain,
( ~ spl2_28
| ~ spl2_246
| ~ spl2_398 ),
inference(sat_conversion,[],[f15020]) ).
cnf(s1875,plain,
( ~ spl2_72
| ~ spl2_109
| ~ spl2_192 ),
inference(sat_conversion,[],[f15039]) ).
cnf(s1877,plain,
( spl2_47
| ~ spl2_124
| ~ spl2_127 ),
inference(sat_conversion,[],[f15045]) ).
cnf(s1879,plain,
( ~ spl2_14
| ~ spl2_75
| ~ spl2_194 ),
inference(sat_conversion,[],[f15056]) ).
cnf(s1885,plain,
( ~ spl2_76
| ~ spl2_95
| ~ spl2_147 ),
inference(sat_conversion,[],[f15154]) ).
cnf(s1891,plain,
( ~ spl2_75
| ~ spl2_78
| ~ spl2_95 ),
inference(sat_conversion,[],[f15192]) ).
cnf(s1907,plain,
( ~ spl2_85
| ~ spl2_166
| ~ spl2_280 ),
inference(sat_conversion,[],[f15302]) ).
cnf(s1921,plain,
( ~ spl2_88
| ~ spl2_120
| ~ spl2_132 ),
inference(sat_conversion,[],[f15433]) ).
cnf(s1932,plain,
( ~ spl2_124
| ~ spl2_150
| ~ spl2_166 ),
inference(sat_conversion,[],[f15536]) ).
cnf(s1939,plain,
( ~ spl2_127
| ~ spl2_145
| ~ spl2_152 ),
inference(sat_conversion,[],[f15582]) ).
cnf(s1968,plain,
( ~ spl2_4
| ~ spl2_47
| ~ spl2_312
| ~ spl2_403 ),
inference(sat_conversion,[],[f15862]) ).
cnf(s1970,plain,
( ~ spl2_47
| spl2_403 ),
inference(sat_conversion,[],[f15874]) ).
cnf(s1971,plain,
( ~ spl2_47
| spl2_87
| spl2_403 ),
inference(sat_conversion,[],[f15876]) ).
cnf(s1973,plain,
( ~ spl2_4
| spl2_267
| ~ spl2_312
| ~ spl2_403 ),
inference(sat_conversion,[],[f15878]) ).
cnf(s1988,plain,
( ~ spl2_149
| ~ spl2_169
| spl2_170
| spl2_246 ),
inference(sat_conversion,[],[f15893]) ).
cnf(s1998,plain,
( spl2_246
| ~ spl2_296
| ~ spl2_353
| spl2_354 ),
inference(sat_conversion,[],[f15904]) ).
cnf(s2007,plain,
( spl2_194
| spl2_403 ),
inference(sat_conversion,[],[f15929]) ).
cnf(s2009,plain,
( spl2_87
| spl2_194
| spl2_403 ),
inference(sat_conversion,[],[f15932]) ).
cnf(s2023,plain,
( ~ spl2_104
| ~ spl2_130
| ~ spl2_392 ),
inference(sat_conversion,[],[f15984]) ).
cnf(s2025,plain,
( ~ spl2_24
| ~ spl2_91
| spl2_231
| ~ spl2_312 ),
inference(sat_conversion,[],[f15986]) ).
cnf(s2026,plain,
( ~ spl2_149
| spl2_187
| spl2_188
| ~ spl2_189 ),
inference(sat_conversion,[],[f15987]) ).
cnf(s2031,plain,
( ~ spl2_14
| ~ spl2_80
| ~ spl2_194 ),
inference(sat_conversion,[],[f15993]) ).
cnf(s2046,plain,
( ~ spl2_14
| ~ spl2_108
| ~ spl2_267 ),
inference(sat_conversion,[],[f16070]) ).
cnf(s2047,plain,
( ~ spl2_14
| ~ spl2_198
| ~ spl2_267 ),
inference(sat_conversion,[],[f16073]) ).
cnf(s2052,plain,
( ~ spl2_31
| spl2_47
| ~ spl2_225 ),
inference(sat_conversion,[],[f16118]) ).
cnf(s2056,plain,
( ~ spl2_15
| ~ spl2_108
| ~ spl2_130 ),
inference(sat_conversion,[],[f16142]) ).
cnf(s2072,plain,
( ~ spl2_15
| ~ spl2_160
| ~ spl2_176 ),
inference(sat_conversion,[],[f16239]) ).
cnf(s2076,plain,
( ~ spl2_19
| ~ spl2_267
| ~ spl2_404 ),
inference(sat_conversion,[],[f16277]) ).
cnf(s2078,plain,
( ~ spl2_104
| ~ spl2_105
| ~ spl2_220 ),
inference(sat_conversion,[],[f16293]) ).
cnf(s2081,plain,
( ~ spl2_73
| ~ spl2_225
| ~ spl2_231 ),
inference(sat_conversion,[],[f16308]) ).
cnf(s2088,plain,
( spl2_19
| spl2_31
| ~ spl2_227 ),
inference(sat_conversion,[],[f16318]) ).
cnf(s2102,plain,
( ~ spl2_28
| ~ spl2_231
| ~ spl2_404 ),
inference(sat_conversion,[],[f16421]) ).
cnf(s2104,plain,
( ~ spl2_85
| ~ spl2_220
| ~ spl2_225 ),
inference(sat_conversion,[],[f16441]) ).
cnf(s2106,plain,
( ~ spl2_124
| ~ spl2_225
| ~ spl2_246 ),
inference(sat_conversion,[],[f16457]) ).
cnf(s2122,plain,
( ~ spl2_37
| ~ spl2_110
| ~ spl2_220
| ~ spl2_225 ),
inference(sat_conversion,[],[f16597]) ).
cnf(s2123,plain,
( ~ spl2_37
| spl2_85
| ~ spl2_110 ),
inference(sat_conversion,[],[f16598]) ).
cnf(s2124,plain,
( spl2_20
| ~ spl2_22
| ~ spl2_47
| ~ spl2_91 ),
inference(sat_conversion,[],[f16653]) ).
cnf(s2128,plain,
( ~ spl2_80
| ~ spl2_127
| ~ spl2_134 ),
inference(sat_conversion,[],[f16734]) ).
cnf(s2130,plain,
( ~ spl2_85
| ~ spl2_127
| ~ spl2_134 ),
inference(sat_conversion,[],[f16739]) ).
cnf(s2134,plain,
( ~ spl2_78
| ~ spl2_130
| ~ spl2_398 ),
inference(sat_conversion,[],[f16841]) ).
cnf(s2150,plain,
( ~ spl2_28
| ~ spl2_211
| ~ spl2_305 ),
inference(sat_conversion,[],[f17195]) ).
cnf(s2151,plain,
( ~ spl2_4
| ~ spl2_37
| ~ spl2_47
| ~ spl2_218 ),
inference(sat_conversion,[],[f17215]) ).
cnf(s2155,plain,
( ~ spl2_20
| ~ spl2_91
| ~ spl2_109 ),
inference(sat_conversion,[],[f17219]) ).
cnf(s2161,plain,
( ~ spl2_36
| ~ spl2_120
| spl2_201 ),
inference(sat_conversion,[],[f17225]) ).
cnf(s2166,plain,
( ~ spl2_36
| ~ spl2_110
| spl2_200 ),
inference(sat_conversion,[],[f17233]) ).
cnf(s2169,plain,
( ~ spl2_73
| ~ spl2_200
| ~ spl2_390 ),
inference(sat_conversion,[],[f17242]) ).
cnf(s2175,plain,
( ~ spl2_32
| spl2_33
| ~ spl2_91
| spl2_220 ),
inference(sat_conversion,[],[f17248]) ).
cnf(s2176,plain,
( spl2_28
| spl2_87
| spl2_104
| spl2_196
| spl2_198 ),
inference(sat_conversion,[],[f17249]) ).
cnf(s2177,plain,
( ~ spl2_17
| spl2_31
| ~ spl2_88
| ~ spl2_109
| ~ spl2_202 ),
inference(sat_conversion,[],[f17250]) ).
cnf(s2181,plain,
( ~ spl2_134
| ~ spl2_200
| ~ spl2_386 ),
inference(sat_conversion,[],[f17255]) ).
cnf(s2182,plain,
( ~ spl2_12
| ~ spl2_20
| spl2_196 ),
inference(sat_conversion,[],[f17256]) ).
cnf(s2183,plain,
( ~ spl2_47
| ~ spl2_49 ),
inference(sat_conversion,[],[f17258]) ).
cnf(s2197,plain,
( ~ spl2_162
| ~ spl2_196
| ~ spl2_389 ),
inference(sat_conversion,[],[f17296]) ).
cnf(s2215,plain,
( ~ spl2_80
| ~ spl2_196
| ~ spl2_414 ),
inference(sat_conversion,[],[f17390]) ).
cnf(s2218,plain,
( ~ spl2_200
| ~ spl2_220
| ~ spl2_388 ),
inference(sat_conversion,[],[f17400]) ).
cnf(s2229,plain,
( ~ spl2_31
| ~ spl2_121
| ~ spl2_127 ),
inference(sat_conversion,[],[f17568]) ).
cnf(s2230,plain,
( ~ spl2_121
| ~ spl2_127
| ~ spl2_220 ),
inference(sat_conversion,[],[f17570]) ).
cnf(s2231,plain,
( ~ spl2_121
| ~ spl2_127
| ~ spl2_246 ),
inference(sat_conversion,[],[f17573]) ).
cnf(s2236,plain,
( ~ spl2_76
| ~ spl2_108
| ~ spl2_127 ),
inference(sat_conversion,[],[f17653]) ).
cnf(s2237,plain,
( ~ spl2_73
| ~ spl2_76
| ~ spl2_127 ),
inference(sat_conversion,[],[f17656]) ).
cnf(s2245,plain,
( ~ spl2_73
| ~ spl2_75
| ~ spl2_85
| ~ spl2_106
| ~ spl2_412
| ~ spl2_414 ),
inference(sat_conversion,[],[f17712]) ).
cnf(s2246,plain,
( ~ spl2_75
| ~ spl2_106
| spl2_130
| ~ spl2_414
| spl2_417 ),
inference(sat_conversion,[],[f17720]) ).
cnf(s2249,plain,
( ~ spl2_85
| ~ spl2_417 ),
inference(sat_conversion,[],[f17741]) ).
cnf(s2280,plain,
( ~ spl2_73
| ~ spl2_76
| ~ spl2_136 ),
inference(sat_conversion,[],[f17975]) ).
cnf(s2282,plain,
( ~ spl2_75
| ~ spl2_78
| ~ spl2_156 ),
inference(sat_conversion,[],[f17994]) ).
cnf(s2286,plain,
( ~ spl2_88
| ~ spl2_170
| ~ spl2_183 ),
inference(sat_conversion,[],[f18022]) ).
cnf(s2287,plain,
( ~ spl2_117
| ~ spl2_149
| ~ spl2_170 ),
inference(sat_conversion,[],[f18023]) ).
cnf(s2297,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_182 ),
inference(sat_conversion,[],[f18140]) ).
cnf(s2298,plain,
( ~ spl2_117
| ~ spl2_296
| ~ spl2_354 ),
inference(sat_conversion,[],[f18170]) ).
cnf(s2299,plain,
( ~ spl2_37
| spl2_329
| ~ spl2_354 ),
inference(sat_conversion,[],[f18171]) ).
cnf(s2302,plain,
( ~ spl2_4
| ~ spl2_47
| ~ spl2_232
| ~ spl2_403 ),
inference(sat_conversion,[],[f18283]) ).
cnf(s2315,plain,
( ~ spl2_73
| ~ spl2_126
| ~ spl2_147 ),
inference(sat_conversion,[],[f18337]) ).
cnf(s2317,plain,
( ~ spl2_121
| ~ spl2_147
| ~ spl2_238 ),
inference(sat_conversion,[],[f18340]) ).
cnf(s2318,plain,
( ~ spl2_147
| ~ spl2_220
| ~ spl2_269 ),
inference(sat_conversion,[],[f18342]) ).
cnf(s2320,plain,
( ~ spl2_7
| spl2_16
| ~ spl2_47
| spl2_384 ),
inference(sat_conversion,[],[f18408]) ).
cnf(s2324,plain,
( spl2_16
| ~ spl2_47
| ~ spl2_106
| spl2_198
| ~ spl2_200 ),
inference(sat_conversion,[],[f18420]) ).
cnf(s2340,plain,
( ~ spl2_77
| ~ spl2_205
| ~ spl2_239 ),
inference(sat_conversion,[],[f18536]) ).
cnf(s2342,plain,
( ~ spl2_75
| ~ spl2_77
| ~ spl2_238
| spl2_255 ),
inference(sat_conversion,[],[f18538]) ).
cnf(s2349,plain,
( ~ spl2_4
| ~ spl2_47
| ~ spl2_210
| ~ spl2_431 ),
inference(sat_conversion,[],[f18677]) ).
cnf(s2352,plain,
( ~ spl2_47
| spl2_431 ),
inference(sat_conversion,[],[f18691]) ).
cnf(s2353,plain,
( ~ spl2_36
| ~ spl2_129
| spl2_130
| ~ spl2_266 ),
inference(sat_conversion,[],[f18722]) ).
cnf(s2354,plain,
( ~ spl2_37
| ~ spl2_47
| ~ spl2_266
| ~ spl2_403 ),
inference(sat_conversion,[],[f18723]) ).
cnf(s2356,plain,
( ~ spl2_80
| ~ spl2_156
| ~ spl2_246 ),
inference(sat_conversion,[],[f18730]) ).
cnf(s2358,plain,
( ~ spl2_12
| ~ spl2_76
| ~ spl2_129
| ~ spl2_251
| ~ spl2_404 ),
inference(sat_conversion,[],[f18758]) ).
cnf(s2359,plain,
( ~ spl2_4
| ~ spl2_47
| ~ spl2_364
| ~ spl2_403 ),
inference(sat_conversion,[],[f18781]) ).
cnf(s2361,plain,
( ~ spl2_4
| ~ spl2_47
| ~ spl2_241
| ~ spl2_431 ),
inference(sat_conversion,[],[f18804]) ).
cnf(s2365,plain,
( ~ spl2_72
| ~ spl2_79
| ~ spl2_81
| ~ spl2_256 ),
inference(sat_conversion,[],[f18847]) ).
cnf(s2366,plain,
( ~ spl2_37
| ~ spl2_47
| ~ spl2_256
| ~ spl2_403 ),
inference(sat_conversion,[],[f18848]) ).
cnf(s2370,plain,
( ~ spl2_37
| ~ spl2_47
| ~ spl2_255
| ~ spl2_431 ),
inference(sat_conversion,[],[f18899]) ).
cnf(s2373,plain,
( ~ spl2_4
| ~ spl2_47
| ~ spl2_207
| ~ spl2_433 ),
inference(sat_conversion,[],[f18935]) ).
cnf(s2386,plain,
( ~ spl2_88
| spl2_190
| spl2_194 ),
inference(sat_conversion,[],[f19014]) ).
cnf(s2390,plain,
( ~ spl2_88
| spl2_218
| spl2_219 ),
inference(sat_conversion,[],[f19018]) ).
cnf(s2394,plain,
( ~ spl2_75
| ~ spl2_104
| ~ spl2_238 ),
inference(sat_conversion,[],[f19024]) ).
cnf(s2400,plain,
( ~ spl2_24
| ~ spl2_75
| ~ spl2_228
| ~ spl2_238 ),
inference(sat_conversion,[],[f19031]) ).
cnf(s2401,plain,
( ~ spl2_75
| spl2_87
| spl2_196
| spl2_198
| ~ spl2_200
| ~ spl2_238 ),
inference(sat_conversion,[],[f19033]) ).
cnf(s2402,plain,
( ~ spl2_24
| spl2_104
| ~ spl2_228 ),
inference(sat_conversion,[],[f19034]) ).
cnf(s2422,plain,
( ~ spl2_104
| ~ spl2_328
| ~ spl2_367 ),
inference(sat_conversion,[],[f19124]) ).
cnf(s2438,plain,
( ~ spl2_75
| ~ spl2_77
| spl2_210
| ~ spl2_414 ),
inference(sat_conversion,[],[f19283]) ).
cnf(s2443,plain,
( ~ spl2_88
| spl2_220
| spl2_401 ),
inference(sat_conversion,[],[f19307]) ).
cnf(s2446,plain,
( spl2_16
| spl2_28
| ~ spl2_108
| spl2_196
| ~ spl2_236 ),
inference(sat_conversion,[],[f19311]) ).
cnf(s2451,plain,
( ~ spl2_88
| ~ spl2_91
| spl2_401 ),
inference(sat_conversion,[],[f19352]) ).
cnf(s2453,plain,
( ~ spl2_31
| ~ spl2_187
| ~ spl2_269 ),
inference(sat_conversion,[],[f19370]) ).
cnf(s2454,plain,
( ~ spl2_14
| ~ spl2_187
| ~ spl2_201 ),
inference(sat_conversion,[],[f19376]) ).
cnf(s2455,plain,
( ~ spl2_14
| ~ spl2_124
| ~ spl2_187 ),
inference(sat_conversion,[],[f19378]) ).
cnf(s2462,plain,
( ~ spl2_121
| ~ spl2_196
| ~ spl2_386 ),
inference(sat_conversion,[],[f19422]) ).
cnf(s2470,plain,
( ~ spl2_147
| ~ spl2_201
| ~ spl2_414 ),
inference(sat_conversion,[],[f19465]) ).
cnf(s2483,plain,
( ~ spl2_31
| ~ spl2_104
| ~ spl2_105 ),
inference(sat_conversion,[],[f19537]) ).
cnf(s2484,plain,
( ~ spl2_104
| ~ spl2_105
| ~ spl2_231 ),
inference(sat_conversion,[],[f19540]) ).
cnf(s2496,plain,
( ~ spl2_211
| ~ spl2_254
| ~ spl2_388 ),
inference(sat_conversion,[],[f19656]) ).
cnf(s2504,plain,
( ~ spl2_14
| ~ spl2_73
| ~ spl2_267 ),
inference(sat_conversion,[],[f19689]) ).
cnf(s2527,plain,
( ~ spl2_134
| ~ spl2_139
| ~ spl2_412 ),
inference(sat_conversion,[],[f19764]) ).
cnf(s2533,plain,
( ~ spl2_162
| ~ spl2_176
| ~ spl2_392 ),
inference(sat_conversion,[],[f19803]) ).
cnf(s2539,plain,
( ~ spl2_121
| ~ spl2_139
| ~ spl2_392 ),
inference(sat_conversion,[],[f19827]) ).
cnf(s2552,plain,
( ~ spl2_16
| ~ spl2_85
| ~ spl2_414 ),
inference(sat_conversion,[],[f19905]) ).
cnf(s2553,plain,
( spl2_16
| ~ spl2_27
| ~ spl2_104
| spl2_130
| spl2_198 ),
inference(sat_conversion,[],[f19907]) ).
cnf(s2566,plain,
( ~ spl2_104
| ~ spl2_105
| ~ spl2_196 ),
inference(sat_conversion,[],[f19992]) ).
cnf(s2568,plain,
( spl2_28
| spl2_30
| spl2_80
| spl2_196
| spl2_200 ),
inference(sat_conversion,[],[f19996]) ).
cnf(s2586,plain,
( ~ spl2_37
| spl2_194
| ~ spl2_401 ),
inference(sat_conversion,[],[f20130]) ).
cnf(s2593,plain,
( ~ spl2_73
| ~ spl2_130
| ~ spl2_412 ),
inference(sat_conversion,[],[f20179]) ).
cnf(s2600,plain,
( ~ spl2_75
| ~ spl2_219
| ~ spl2_404 ),
inference(sat_conversion,[],[f20235]) ).
cnf(s2618,plain,
( ~ spl2_219
| ~ spl2_290
| ~ spl2_393 ),
inference(sat_conversion,[],[f20458]) ).
cnf(s2619,plain,
( ~ spl2_143
| ~ spl2_228
| ~ spl2_230 ),
inference(sat_conversion,[],[f20491]) ).
cnf(s2623,plain,
( ~ spl2_176
| ~ spl2_280
| ~ spl2_412 ),
inference(sat_conversion,[],[f20530]) ).
cnf(s2629,plain,
( spl2_432
| spl2_434 ),
inference(sat_conversion,[],[f20594]) ).
cnf(s2630,plain,
( ~ spl2_94
| ~ spl2_198
| ~ spl2_219 ),
inference(sat_conversion,[],[f20608]) ).
cnf(s2631,plain,
( ~ spl2_79
| spl2_139
| ~ spl2_205
| spl2_228 ),
inference(sat_conversion,[],[f20610]) ).
cnf(s2632,plain,
( ~ spl2_143
| spl2_176
| ~ spl2_205
| spl2_211 ),
inference(sat_conversion,[],[f20611]) ).
cnf(s2634,plain,
( spl2_130
| ~ spl2_146
| ~ spl2_230
| spl2_240 ),
inference(sat_conversion,[],[f20613]) ).
cnf(s2635,plain,
( ~ spl2_143
| spl2_176
| ~ spl2_205
| spl2_228 ),
inference(sat_conversion,[],[f20614]) ).
cnf(s2637,plain,
( ~ spl2_79
| spl2_139
| spl2_201
| ~ spl2_205 ),
inference(sat_conversion,[],[f20616]) ).
cnf(s2652,plain,
( spl2_16
| ~ spl2_94
| ~ spl2_108
| ~ spl2_198
| spl2_200 ),
inference(sat_conversion,[],[f20656]) ).
cnf(s2653,plain,
( ~ spl2_37
| ~ spl2_93
| spl2_108 ),
inference(sat_conversion,[],[f20657]) ).
cnf(s2658,plain,
( ~ spl2_84
| ~ spl2_143
| spl2_191
| spl2_192 ),
inference(sat_conversion,[],[f20662]) ).
cnf(s2674,plain,
( ~ spl2_75
| ~ spl2_220
| ~ spl2_225 ),
inference(sat_conversion,[],[f20749]) ).
cnf(s2675,plain,
( ~ spl2_147
| ~ spl2_220
| ~ spl2_225 ),
inference(sat_conversion,[],[f20753]) ).
cnf(s2676,plain,
( ~ spl2_220
| ~ spl2_225
| ~ spl2_290 ),
inference(sat_conversion,[],[f20755]) ).
cnf(s2680,plain,
( ~ spl2_77
| spl2_130
| spl2_198
| ~ spl2_199 ),
inference(sat_conversion,[],[f20760]) ).
cnf(s2681,plain,
( spl2_130
| ~ spl2_146
| spl2_198
| ~ spl2_230 ),
inference(sat_conversion,[],[f20761]) ).
cnf(s2737,plain,
( ~ spl2_144
| ~ spl2_162
| ~ spl2_236 ),
inference(sat_conversion,[],[f21260]) ).
cnf(s2746,plain,
( spl2_16
| spl2_19
| ~ spl2_100
| ~ spl2_290
| ~ spl2_414 ),
inference(sat_conversion,[],[f21309]) ).
cnf(s2749,plain,
( ~ spl2_36
| spl2_219
| ~ spl2_401 ),
inference(sat_conversion,[],[f21315]) ).
cnf(s2754,plain,
( ~ spl2_16
| ~ spl2_130
| ~ spl2_268 ),
inference(sat_conversion,[],[f21320]) ).
cnf(s2757,plain,
( spl2_7
| ~ spl2_196
| spl2_388 ),
inference(sat_conversion,[],[f21323]) ).
cnf(s2773,plain,
( ~ spl2_27
| ~ spl2_80
| ~ spl2_194 ),
inference(sat_conversion,[],[f21459]) ).
cnf(s2774,plain,
( ~ spl2_7
| ~ spl2_73
| ~ spl2_130 ),
inference(sat_conversion,[],[f21468]) ).
cnf(s2786,plain,
( ~ spl2_76
| spl2_105
| spl2_115 ),
inference(sat_conversion,[],[f21587]) ).
cnf(s2810,plain,
( ~ spl2_22
| spl2_162
| ~ spl2_188 ),
inference(sat_conversion,[],[f21833]) ).
cnf(s2816,plain,
( ~ spl2_191
| ~ spl2_265
| ~ spl2_280 ),
inference(sat_conversion,[],[f21855]) ).
cnf(s2848,plain,
( ~ spl2_36
| ~ spl2_129
| spl2_139
| ~ spl2_256 ),
inference(sat_conversion,[],[f22489]) ).
cnf(s2857,plain,
( ~ spl2_36
| ~ spl2_138
| spl2_139
| ~ spl2_255 ),
inference(sat_conversion,[],[f22589]) ).
cnf(s2859,plain,
( ~ spl2_36
| ~ spl2_129
| spl2_176
| ~ spl2_302 ),
inference(sat_conversion,[],[f22619]) ).
cnf(s2880,plain,
( ~ spl2_115
| ~ spl2_145
| ~ spl2_152 ),
inference(sat_conversion,[],[f22752]) ).
cnf(s2881,plain,
( ~ spl2_152
| ~ spl2_162
| ~ spl2_245 ),
inference(sat_conversion,[],[f22754]) ).
cnf(s2884,plain,
( ~ spl2_12
| ~ spl2_129
| spl2_176
| ~ spl2_304 ),
inference(sat_conversion,[],[f22849]) ).
cnf(s2885,plain,
( ~ spl2_36
| ~ spl2_138
| spl2_176
| ~ spl2_195 ),
inference(sat_conversion,[],[f22885]) ).
cnf(s2891,plain,
( ~ spl2_36
| spl2_176
| ~ spl2_179
| ~ spl2_234 ),
inference(sat_conversion,[],[f22963]) ).
cnf(s2899,plain,
( ~ spl2_148
| ~ spl2_296
| ~ spl2_432
| spl2_448 ),
inference(sat_conversion,[],[f23107]) ).
cnf(s2900,plain,
( ~ spl2_131
| ~ spl2_148
| spl2_449 ),
inference(sat_conversion,[],[f23111]) ).
cnf(s2901,plain,
( ~ spl2_129
| spl2_139
| ~ spl2_148
| spl2_184 ),
inference(sat_conversion,[],[f23113]) ).
cnf(s2903,plain,
( ~ spl2_148
| ~ spl2_149
| spl2_182
| ~ spl2_183 ),
inference(sat_conversion,[],[f23119]) ).
cnf(s2905,plain,
( ~ spl2_151
| spl2_176
| ~ spl2_199
| spl2_239 ),
inference(sat_conversion,[],[f23121]) ).
cnf(s2911,plain,
( ~ spl2_132
| ~ spl2_151
| ~ spl2_199
| ~ spl2_364 ),
inference(sat_conversion,[],[f23130]) ).
cnf(s2917,plain,
( ~ spl2_76
| ~ spl2_78
| ~ spl2_105 ),
inference(sat_conversion,[],[f23214]) ).
cnf(s2918,plain,
( ~ spl2_29
| ~ spl2_139 ),
inference(sat_conversion,[],[f23218]) ).
cnf(s2920,plain,
( ~ spl2_77
| ~ spl2_151
| ~ spl2_199
| ~ spl2_241 ),
inference(sat_conversion,[],[f23221]) ).
cnf(s2924,plain,
( ~ spl2_4
| spl2_108
| ~ spl2_228 ),
inference(sat_conversion,[],[f23227]) ).
cnf(s2926,plain,
( ~ spl2_4
| spl2_187
| ~ spl2_210
| ~ spl2_431 ),
inference(sat_conversion,[],[f23229]) ).
cnf(s2927,plain,
( ~ spl2_4
| spl2_325
| ~ spl2_359
| ~ spl2_433 ),
inference(sat_conversion,[],[f23230]) ).
cnf(s2928,plain,
( ~ spl2_4
| spl2_187
| ~ spl2_232
| ~ spl2_403 ),
inference(sat_conversion,[],[f23231]) ).
cnf(s2939,plain,
( ~ spl2_7
| ~ spl2_14
| spl2_16
| spl2_384 ),
inference(sat_conversion,[],[f23301]) ).
cnf(s2943,plain,
( ~ spl2_126
| ~ spl2_139
| ~ spl2_198 ),
inference(sat_conversion,[],[f23328]) ).
cnf(s2954,plain,
( ~ spl2_4
| ~ spl2_7
| ~ spl2_139
| ~ spl2_239 ),
inference(sat_conversion,[],[f23422]) ).
cnf(s2956,plain,
( ~ spl2_7
| ~ spl2_24
| ~ spl2_139
| ~ spl2_239 ),
inference(sat_conversion,[],[f23425]) ).
cnf(s2960,plain,
( ~ spl2_72
| spl2_200
| ~ spl2_205
| spl2_219 ),
inference(sat_conversion,[],[f23432]) ).
cnf(s2965,plain,
( spl2_187
| spl2_433 ),
inference(sat_conversion,[],[f23441]) ).
cnf(s2970,plain,
( ~ spl2_24
| ~ spl2_140
| ~ spl2_210
| spl2_246 ),
inference(sat_conversion,[],[f23450]) ).
cnf(s2973,plain,
( ~ spl2_24
| ~ spl2_181
| spl2_328
| ~ spl2_359 ),
inference(sat_conversion,[],[f23453]) ).
cnf(s2979,plain,
( spl2_176
| ~ spl2_202
| spl2_214
| ~ spl2_289 ),
inference(sat_conversion,[],[f23462]) ).
cnf(s2984,plain,
( ~ spl2_130
| ~ spl2_211
| ~ spl2_284 ),
inference(sat_conversion,[],[f23508]) ).
cnf(s3019,plain,
( ~ spl2_147
| ~ spl2_219
| ~ spl2_398 ),
inference(sat_conversion,[],[f23811]) ).
cnf(s3023,plain,
( ~ spl2_74
| ~ spl2_148
| ~ spl2_202
| ~ spl2_210 ),
inference(sat_conversion,[],[f23846]) ).
cnf(s3028,plain,
( ~ spl2_74
| spl2_198
| spl2_312 ),
inference(sat_conversion,[],[f23852]) ).
cnf(s3039,plain,
( ~ spl2_77
| spl2_104
| ~ spl2_116
| ~ spl2_117
| ~ spl2_223 ),
inference(sat_conversion,[],[f23946]) ).
cnf(s3051,plain,
( ~ spl2_78
| ~ spl2_201
| ~ spl2_390 ),
inference(sat_conversion,[],[f24017]) ).
cnf(s3052,plain,
( ~ spl2_78
| spl2_126
| spl2_127 ),
inference(sat_conversion,[],[f24018]) ).
cnf(s3054,plain,
( ~ spl2_16
| ~ spl2_219
| ~ spl2_265 ),
inference(sat_conversion,[],[f24020]) ).
cnf(s3057,plain,
( ~ spl2_16
| ~ spl2_108
| ~ spl2_390 ),
inference(sat_conversion,[],[f24024]) ).
cnf(s3060,plain,
( spl2_92
| spl2_267
| spl2_431 ),
inference(sat_conversion,[],[f24029]) ).
cnf(s3062,plain,
( spl2_16
| ~ spl2_134
| spl2_201
| ~ spl2_265
| ~ spl2_412 ),
inference(sat_conversion,[],[f24031]) ).
cnf(s3074,plain,
( ~ spl2_16
| ~ spl2_124
| ~ spl2_386 ),
inference(sat_conversion,[],[f24095]) ).
cnf(s3076,plain,
( ~ spl2_19
| ~ spl2_196
| ~ spl2_262 ),
inference(sat_conversion,[],[f24097]) ).
cnf(s3078,plain,
( spl2_16
| spl2_19
| spl2_108
| spl2_198 ),
inference(sat_conversion,[],[f24102]) ).
cnf(s3081,plain,
( ~ spl2_19
| ~ spl2_194
| ~ spl2_412 ),
inference(sat_conversion,[],[f24117]) ).
cnf(s3082,plain,
( ~ spl2_24
| ~ spl2_91
| spl2_200
| spl2_219 ),
inference(sat_conversion,[],[f24118]) ).
cnf(s3085,plain,
( ~ spl2_91
| spl2_200
| spl2_218 ),
inference(sat_conversion,[],[f24121]) ).
cnf(s3086,plain,
( ~ spl2_183
| spl2_200
| spl2_219
| ~ spl2_230 ),
inference(sat_conversion,[],[f24122]) ).
cnf(s3100,plain,
( ~ spl2_30
| spl2_87 ),
inference(sat_conversion,[],[f24209]) ).
cnf(s3109,plain,
( spl2_30
| spl2_72
| spl2_73 ),
inference(sat_conversion,[],[f24239]) ).
cnf(s3111,plain,
( spl2_30
| spl2_78
| spl2_79 ),
inference(sat_conversion,[],[f24241]) ).
cnf(s3112,plain,
( spl2_30
| spl2_76
| spl2_77 ),
inference(sat_conversion,[],[f24242]) ).
cnf(s3113,plain,
( spl2_30
| spl2_196
| spl2_200
| spl2_219
| spl2_220 ),
inference(sat_conversion,[],[f24243]) ).
cnf(s3114,plain,
( spl2_30
| spl2_74
| spl2_75 ),
inference(sat_conversion,[],[f24244]) ).
cnf(s3121,plain,
( spl2_73
| spl2_96
| spl2_198
| spl2_200
| spl2_219 ),
inference(sat_conversion,[],[f24277]) ).
cnf(s3122,plain,
( spl2_75
| spl2_96
| spl2_130
| spl2_198
| ~ spl2_202 ),
inference(sat_conversion,[],[f24278]) ).
cnf(s3123,plain,
( spl2_75
| spl2_96
| spl2_130
| spl2_198
| spl2_200 ),
inference(sat_conversion,[],[f24279]) ).
cnf(s3124,plain,
( spl2_96
| spl2_151
| spl2_152 ),
inference(sat_conversion,[],[f24280]) ).
cnf(s3126,plain,
( spl2_76
| spl2_77
| spl2_96 ),
inference(sat_conversion,[],[f24282]) ).
cnf(s3128,plain,
( spl2_96
| spl2_149
| spl2_150 ),
inference(sat_conversion,[],[f24284]) ).
cnf(s3142,plain,
( spl2_32
| ~ spl2_103
| spl2_375 ),
inference(sat_conversion,[],[f24375]) ).
cnf(s3146,plain,
( ~ spl2_103
| spl2_196
| ~ spl2_198 ),
inference(sat_conversion,[],[f24381]) ).
cnf(s3154,plain,
( ~ spl2_8
| ~ spl2_194
| ~ spl2_200 ),
inference(sat_conversion,[],[f24426]) ).
cnf(s3156,plain,
( spl2_103
| spl2_293
| spl2_294 ),
inference(sat_conversion,[],[f24446]) ).
cnf(s3158,plain,
( spl2_103
| spl2_145
| spl2_146 ),
inference(sat_conversion,[],[f24448]) ).
cnf(s3159,plain,
( spl2_103
| spl2_295
| spl2_296 ),
inference(sat_conversion,[],[f24449]) ).
cnf(s3178,plain,
( spl2_140
| spl2_231 ),
inference(sat_conversion,[],[f24533]) ).
cnf(s3181,plain,
( spl2_87
| spl2_140
| spl2_231 ),
inference(sat_conversion,[],[f24535]) ).
cnf(s3185,plain,
( ~ spl2_72
| ~ spl2_205
| spl2_219
| spl2_228 ),
inference(sat_conversion,[],[f24579]) ).
cnf(s3186,plain,
( ~ spl2_72
| spl2_85
| spl2_86 ),
inference(sat_conversion,[],[f24580]) ).
cnf(s3198,plain,
( spl2_181
| spl2_246 ),
inference(sat_conversion,[],[f24645]) ).
cnf(s3213,plain,
( spl2_30
| ~ spl2_80
| ~ spl2_104
| ~ spl2_111
| ~ spl2_222
| ~ spl2_414 ),
inference(sat_conversion,[],[f24785]) ).
cnf(s3215,plain,
( ~ spl2_77
| spl2_198
| spl2_210 ),
inference(sat_conversion,[],[f24831]) ).
cnf(s3218,plain,
( ~ spl2_79
| ~ spl2_199
| ~ spl2_228 ),
inference(sat_conversion,[],[f24862]) ).
cnf(s3220,plain,
( ~ spl2_79
| spl2_201
| spl2_210 ),
inference(sat_conversion,[],[f24864]) ).
cnf(s3229,plain,
( ~ spl2_80
| spl2_142
| ~ spl2_200
| ~ spl2_238
| ~ spl2_290
| ~ spl2_414 ),
inference(sat_conversion,[],[f24956]) ).
cnf(s3233,plain,
( ~ spl2_28
| ~ spl2_200
| ~ spl2_238 ),
inference(sat_conversion,[],[f24961]) ).
cnf(s3235,plain,
( spl2_16
| spl2_19
| spl2_222 ),
inference(sat_conversion,[],[f24963]) ).
cnf(s3236,plain,
( ~ spl2_72
| ~ spl2_81
| spl2_93
| spl2_220 ),
inference(sat_conversion,[],[f24964]) ).
cnf(s3258,plain,
( ~ spl2_108
| ~ spl2_225
| ~ spl2_231 ),
inference(sat_conversion,[],[f25094]) ).
cnf(s3260,plain,
( spl2_139
| ~ spl2_148
| ~ spl2_202
| spl2_214 ),
inference(sat_conversion,[],[f25099]) ).
cnf(s3262,plain,
( ~ spl2_72
| spl2_200
| spl2_312 ),
inference(sat_conversion,[],[f25101]) ).
cnf(s3266,plain,
( spl2_7
| spl2_8
| ~ spl2_16 ),
inference(sat_conversion,[],[f25110]) ).
cnf(s3267,plain,
( ~ spl2_8
| ~ spl2_187
| ~ spl2_201 ),
inference(sat_conversion,[],[f25124]) ).
cnf(s3268,plain,
( ~ spl2_72
| ~ spl2_84
| spl2_192
| spl2_194 ),
inference(sat_conversion,[],[f25125]) ).
cnf(s3281,plain,
( ~ spl2_28
| ~ spl2_220
| ~ spl2_412 ),
inference(sat_conversion,[],[f25191]) ).
cnf(s3296,plain,
( ~ spl2_14
| ~ spl2_20
| ~ spl2_42
| spl2_108 ),
inference(sat_conversion,[],[f25329]) ).
cnf(s3307,plain,
( ~ spl2_132
| ~ spl2_148
| ~ spl2_449 ),
inference(sat_conversion,[],[f25613]) ).
cnf(s3318,plain,
( ~ spl2_150
| ~ spl2_201
| ~ spl2_389 ),
inference(sat_conversion,[],[f25724]) ).
cnf(s3320,plain,
( ~ spl2_150
| ~ spl2_176
| ~ spl2_398 ),
inference(sat_conversion,[],[f25727]) ).
cnf(s3328,plain,
( ~ spl2_200
| ~ spl2_280
| ~ spl2_389 ),
inference(sat_conversion,[],[f25762]) ).
cnf(s3330,plain,
( ~ spl2_105
| ~ spl2_144
| ~ spl2_160 ),
inference(sat_conversion,[],[f25780]) ).
cnf(s3331,plain,
( ~ spl2_105
| ~ spl2_144
| ~ spl2_162 ),
inference(sat_conversion,[],[f25783]) ).
cnf(s3332,plain,
( ~ spl2_105
| ~ spl2_144
| ~ spl2_280 ),
inference(sat_conversion,[],[f25786]) ).
cnf(s3333,plain,
( ~ spl2_72
| spl2_200
| ~ spl2_205
| spl2_219 ),
inference(sat_conversion,[],[f25788]) ).
cnf(s3343,plain,
( spl2_103
| spl2_134
| ~ spl2_199
| spl2_200
| spl2_219 ),
inference(sat_conversion,[],[f25798]) ).
cnf(s3346,plain,
( spl2_7
| ~ spl2_198
| spl2_390 ),
inference(sat_conversion,[],[f25813]) ).
cnf(s3364,plain,
( ~ spl2_24
| ~ spl2_91
| spl2_200
| spl2_227 ),
inference(sat_conversion,[],[f25950]) ).
cnf(s3366,plain,
( spl2_105
| ~ spl2_267
| spl2_268 ),
inference(sat_conversion,[],[f25953]) ).
cnf(s3382,plain,
( spl2_85
| ~ spl2_132
| spl2_251 ),
inference(sat_conversion,[],[f26090]) ).
cnf(s3396,plain,
( spl2_16
| spl2_196
| ~ spl2_231
| ~ spl2_268
| ~ spl2_404 ),
inference(sat_conversion,[],[f26161]) ).
cnf(s3397,plain,
( spl2_95
| ~ spl2_220
| spl2_257 ),
inference(sat_conversion,[],[f26173]) ).
cnf(s3400,plain,
( ~ spl2_132
| ~ spl2_199
| spl2_219
| spl2_239 ),
inference(sat_conversion,[],[f26192]) ).
cnf(s3404,plain,
( ~ spl2_74
| spl2_104
| spl2_266 ),
inference(sat_conversion,[],[f26199]) ).
cnf(s3406,plain,
( spl2_16
| spl2_28
| ~ spl2_85
| spl2_196
| ~ spl2_238 ),
inference(sat_conversion,[],[f26212]) ).
cnf(s3412,plain,
( spl2_16
| spl2_28
| spl2_87
| spl2_196
| spl2_200
| ~ spl2_222
| ~ spl2_238 ),
inference(sat_conversion,[],[f26251]) ).
cnf(s3413,plain,
( ~ spl2_74
| spl2_130
| ~ spl2_202
| spl2_214 ),
inference(sat_conversion,[],[f26252]) ).
cnf(s3420,plain,
( ~ spl2_15
| ~ spl2_85
| ~ spl2_219 ),
inference(sat_conversion,[],[f26301]) ).
cnf(s3422,plain,
( ~ spl2_132
| spl2_200
| spl2_232 ),
inference(sat_conversion,[],[f26303]) ).
cnf(s3423,plain,
( ~ spl2_132
| ~ spl2_199
| spl2_200
| spl2_219 ),
inference(sat_conversion,[],[f26304]) ).
cnf(s3424,plain,
( spl2_103
| spl2_139
| spl2_147
| spl2_200
| spl2_201 ),
inference(sat_conversion,[],[f26305]) ).
cnf(s3427,plain,
( spl2_103
| spl2_134
| spl2_200
| spl2_201
| spl2_219 ),
inference(sat_conversion,[],[f26308]) ).
cnf(s3431,plain,
( spl2_7
| ~ spl2_200
| spl2_414 ),
inference(sat_conversion,[],[f26326]) ).
cnf(s3443,plain,
( spl2_142
| ~ spl2_222
| ~ spl2_225
| ~ spl2_246 ),
inference(sat_conversion,[],[f26463]) ).
cnf(s3444,plain,
( ~ spl2_4
| ~ spl2_225
| ~ spl2_239
| ~ spl2_246 ),
inference(sat_conversion,[],[f26534]) ).
cnf(s3447,plain,
( ~ spl2_24
| spl2_121
| ~ spl2_239 ),
inference(sat_conversion,[],[f26537]) ).
cnf(s3448,plain,
( ~ spl2_4
| spl2_124
| ~ spl2_239 ),
inference(sat_conversion,[],[f26538]) ).
cnf(s3465,plain,
( ~ spl2_130
| ~ spl2_144
| ~ spl2_393 ),
inference(sat_conversion,[],[f26717]) ).
cnf(s3471,plain,
( ~ spl2_288
| ~ spl2_324
| ~ spl2_390 ),
inference(sat_conversion,[],[f26848]) ).
cnf(s3484,plain,
( spl2_231
| ~ spl2_291
| ~ spl2_353
| spl2_354 ),
inference(sat_conversion,[],[f26977]) ).
cnf(s3494,plain,
( ~ spl2_120
| ~ spl2_293
| ~ spl2_353 ),
inference(sat_conversion,[],[f27066]) ).
cnf(s3495,plain,
( ~ spl2_201
| ~ spl2_295
| ~ spl2_385 ),
inference(sat_conversion,[],[f27086]) ).
cnf(s3502,plain,
( spl2_16
| ~ spl2_47
| ~ spl2_200
| ~ spl2_290
| ~ spl2_301
| ~ spl2_414 ),
inference(sat_conversion,[],[f27151]) ).
cnf(s3505,plain,
( ~ spl2_37
| ~ spl2_120
| spl2_124 ),
inference(sat_conversion,[],[f27155]) ).
cnf(s3514,plain,
( ~ spl2_47
| ~ spl2_79
| ~ spl2_84
| spl2_192 ),
inference(sat_conversion,[],[f27167]) ).
cnf(s3522,plain,
( ~ spl2_31
| ~ spl2_162
| ~ spl2_166 ),
inference(sat_conversion,[],[f27239]) ).
cnf(s3523,plain,
( ~ spl2_169
| spl2_170
| ~ spl2_183
| spl2_220 ),
inference(sat_conversion,[],[f27241]) ).
cnf(s3524,plain,
( ~ spl2_146
| ~ spl2_169
| spl2_170
| spl2_231 ),
inference(sat_conversion,[],[f27242]) ).
cnf(s3525,plain,
( ~ spl2_24
| spl2_162
| ~ spl2_240 ),
inference(sat_conversion,[],[f27261]) ).
cnf(s3527,plain,
( ~ spl2_47
| ~ spl2_74
| ~ spl2_109
| spl2_193 ),
inference(sat_conversion,[],[f27265]) ).
cnf(s3528,plain,
( ~ spl2_47
| ~ spl2_109
| ~ spl2_148
| spl2_193 ),
inference(sat_conversion,[],[f27266]) ).
cnf(s3536,plain,
( ~ spl2_80
| ~ spl2_166
| ~ spl2_280 ),
inference(sat_conversion,[],[f27319]) ).
cnf(s3538,plain,
( ~ spl2_166
| ~ spl2_280
| ~ spl2_290 ),
inference(sat_conversion,[],[f27325]) ).
cnf(s3542,plain,
( spl2_14
| ~ spl2_31
| spl2_262 ),
inference(sat_conversion,[],[f27329]) ).
cnf(s3543,plain,
( ~ spl2_77
| spl2_104
| spl2_255 ),
inference(sat_conversion,[],[f27330]) ).
cnf(s3544,plain,
( spl2_14
| ~ spl2_160
| spl2_177 ),
inference(sat_conversion,[],[f27331]) ).
cnf(s3545,plain,
( ~ spl2_79
| ~ spl2_81
| spl2_93
| spl2_246 ),
inference(sat_conversion,[],[f27332]) ).
cnf(s3549,plain,
( spl2_14
| ~ spl2_108
| spl2_111 ),
inference(sat_conversion,[],[f27336]) ).
cnf(s3559,plain,
( spl2_16
| ~ spl2_80
| ~ spl2_124
| ~ spl2_200
| ~ spl2_238
| ~ spl2_245
| ~ spl2_414 ),
inference(sat_conversion,[],[f27513]) ).
cnf(s3561,plain,
( ~ spl2_72
| spl2_80
| spl2_266 ),
inference(sat_conversion,[],[f27515]) ).
cnf(s3562,plain,
( ~ spl2_109
| spl2_191
| spl2_193
| ~ spl2_289 ),
inference(sat_conversion,[],[f27516]) ).
cnf(s3565,plain,
( ~ spl2_74
| ~ spl2_88
| spl2_110
| spl2_231 ),
inference(sat_conversion,[],[f27519]) ).
cnf(s3567,plain,
( ~ spl2_74
| ~ spl2_109
| spl2_193
| spl2_267 ),
inference(sat_conversion,[],[f27521]) ).
cnf(s3568,plain,
( ~ spl2_109
| ~ spl2_148
| spl2_187
| spl2_193 ),
inference(sat_conversion,[],[f27522]) ).
cnf(s3580,plain,
( spl2_31
| ~ spl2_88
| spl2_190 ),
inference(sat_conversion,[],[f27591]) ).
cnf(s3584,plain,
( spl2_30
| spl2_47
| ~ spl2_121
| ~ spl2_222
| ~ spl2_225
| ~ spl2_386 ),
inference(sat_conversion,[],[f27622]) ).
cnf(s3586,plain,
( spl2_42
| ~ spl2_88
| ~ spl2_109
| spl2_193 ),
inference(sat_conversion,[],[f27624]) ).
cnf(s3608,plain,
( ~ spl2_14
| spl2_47
| ~ spl2_49 ),
inference(sat_conversion,[],[f27751]) ).
cnf(s3615,plain,
( spl2_16
| ~ spl2_121
| ~ spl2_124
| ~ spl2_198
| ~ spl2_236
| ~ spl2_245
| ~ spl2_386 ),
inference(sat_conversion,[],[f27853]) ).
cnf(s3617,plain,
( spl2_16
| ~ spl2_124
| spl2_196
| ~ spl2_198
| ~ spl2_236
| ~ spl2_245 ),
inference(sat_conversion,[],[f27855]) ).
cnf(s3620,plain,
( ~ spl2_88
| spl2_196
| spl2_218 ),
inference(sat_conversion,[],[f27858]) ).
cnf(s3623,plain,
( spl2_105
| ~ spl2_231
| spl2_261 ),
inference(sat_conversion,[],[f27868]) ).
cnf(s3624,plain,
( spl2_127
| ~ spl2_246
| spl2_269 ),
inference(sat_conversion,[],[f27873]) ).
cnf(s3628,plain,
( ~ spl2_145
| ~ spl2_176
| ~ spl2_404 ),
inference(sat_conversion,[],[f27910]) ).
cnf(s3631,plain,
( ~ spl2_162
| spl2_225
| spl2_305 ),
inference(sat_conversion,[],[f27922]) ).
cnf(s3635,plain,
( spl2_121
| ~ spl2_149
| spl2_234 ),
inference(sat_conversion,[],[f28007]) ).
cnf(s3637,plain,
( ~ spl2_139
| ~ spl2_152
| ~ spl2_393 ),
inference(sat_conversion,[],[f28016]) ).
cnf(s3642,plain,
( ~ spl2_79
| spl2_201
| spl2_210 ),
inference(sat_conversion,[],[f28022]) ).
cnf(s3644,plain,
( spl2_104
| ~ spl2_146
| spl2_195 ),
inference(sat_conversion,[],[f28024]) ).
cnf(s3646,plain,
( ~ spl2_81
| spl2_93
| ~ spl2_143
| ~ spl2_257
| ~ spl2_280 ),
inference(sat_conversion,[],[f28026]) ).
cnf(s3654,plain,
( ~ spl2_19
| ~ spl2_187
| ~ spl2_398 ),
inference(sat_conversion,[],[f28073]) ).
cnf(s3658,plain,
( ~ spl2_81
| spl2_93
| ~ spl2_143
| spl2_254 ),
inference(sat_conversion,[],[f28077]) ).
cnf(s3661,plain,
( ~ spl2_9
| spl2_11
| ~ spl2_283 ),
inference(sat_conversion,[],[f28108]) ).
cnf(s3670,plain,
( ~ spl2_10
| spl2_16
| spl2_19
| spl2_196
| ~ spl2_257 ),
inference(sat_conversion,[],[f28167]) ).
cnf(s3672,plain,
( spl2_14
| ~ spl2_85
| spl2_100 ),
inference(sat_conversion,[],[f28176]) ).
cnf(s3674,plain,
( spl2_30
| ~ spl2_194
| ~ spl2_219
| ~ spl2_222
| ~ spl2_257 ),
inference(sat_conversion,[],[f28201]) ).
cnf(s3675,plain,
( spl2_16
| spl2_19
| ~ spl2_194
| ~ spl2_219
| ~ spl2_257 ),
inference(sat_conversion,[],[f28203]) ).
cnf(s3676,plain,
( spl2_80
| ~ spl2_91
| spl2_401 ),
inference(sat_conversion,[],[f28241]) ).
cnf(s3683,plain,
( ~ spl2_104
| spl2_225
| spl2_236 ),
inference(sat_conversion,[],[f28265]) ).
cnf(s3689,plain,
( ~ spl2_121
| spl2_225
| spl2_245 ),
inference(sat_conversion,[],[f28295]) ).
cnf(s3693,plain,
( spl2_80
| ~ spl2_132
| spl2_256 ),
inference(sat_conversion,[],[f28353]) ).
cnf(s3696,plain,
( ~ spl2_148
| spl2_201
| spl2_232 ),
inference(sat_conversion,[],[f28385]) ).
cnf(s3697,plain,
( ~ spl2_88
| spl2_110
| ~ spl2_148
| spl2_246 ),
inference(sat_conversion,[],[f28386]) ).
cnf(s3700,plain,
( spl2_47
| ~ spl2_127
| spl2_142
| spl2_201
| ~ spl2_222 ),
inference(sat_conversion,[],[f28425]) ).
cnf(s3706,plain,
( spl2_27
| ~ spl2_42
| spl2_225 ),
inference(sat_conversion,[],[f28444]) ).
cnf(s3714,plain,
( ~ spl2_76
| ~ spl2_198
| ~ spl2_386 ),
inference(sat_conversion,[],[f28565]) ).
cnf(s3715,plain,
( ~ spl2_76
| spl2_105
| spl2_115 ),
inference(sat_conversion,[],[f28566]) ).
cnf(s3726,plain,
( spl2_16
| spl2_211
| ~ spl2_265
| ~ spl2_280
| ~ spl2_412 ),
inference(sat_conversion,[],[f28665]) ).
cnf(s3737,plain,
( ~ spl2_151
| spl2_207
| spl2_211 ),
inference(sat_conversion,[],[f28850]) ).
cnf(s3748,plain,
( ~ spl2_132
| ~ spl2_296
| ~ spl2_448 ),
inference(sat_conversion,[],[f29068]) ).
cnf(s3759,plain,
( spl2_95
| ~ spl2_434
| spl2_439 ),
inference(sat_conversion,[],[f29096]) ).
cnf(s3781,plain,
( ~ spl2_14
| ~ spl2_42
| ~ spl2_246 ),
inference(sat_conversion,[],[f29330]) ).
cnf(s3783,plain,
( ~ spl2_14
| ~ spl2_325
| ~ spl2_327 ),
inference(sat_conversion,[],[f29347]) ).
cnf(s3784,plain,
( ~ spl2_14
| ~ spl2_325
| ~ spl2_329 ),
inference(sat_conversion,[],[f29350]) ).
cnf(s3786,plain,
( ~ spl2_14
| ~ spl2_325
| ~ spl2_434 ),
inference(sat_conversion,[],[f29354]) ).
cnf(s3787,plain,
( ~ spl2_14
| ~ spl2_20
| ~ spl2_42
| ~ spl2_325 ),
inference(sat_conversion,[],[f29358]) ).
cnf(s3796,plain,
( ~ spl2_294
| spl2_323
| ~ spl2_342
| ~ spl2_386
| spl2_472 ),
inference(sat_conversion,[],[f29418]) ).
cnf(s3798,plain,
( ~ spl2_121
| spl2_279
| ~ spl2_472 ),
inference(sat_conversion,[],[f29429]) ).
cnf(s3803,plain,
( ~ spl2_77
| spl2_130
| ~ spl2_199
| spl2_239 ),
inference(sat_conversion,[],[f29443]) ).
cnf(s3810,plain,
( ~ spl2_201
| ~ spl2_323
| ~ spl2_342 ),
inference(sat_conversion,[],[f29456]) ).
cnf(s3811,plain,
( ~ spl2_14
| ~ spl2_121
| ~ spl2_187 ),
inference(sat_conversion,[],[f29472]) ).
cnf(s3815,plain,
( spl2_162
| ~ spl2_289
| spl2_302 ),
inference(sat_conversion,[],[f29481]) ).
cnf(s3816,plain,
( ~ spl2_14
| ~ spl2_134
| ~ spl2_187 ),
inference(sat_conversion,[],[f29483]) ).
cnf(s3820,plain,
( ~ spl2_14
| ~ spl2_76
| ~ spl2_187 ),
inference(sat_conversion,[],[f29494]) ).
cnf(s3821,plain,
( ~ spl2_88
| spl2_110
| spl2_254
| ~ spl2_289 ),
inference(sat_conversion,[],[f29495]) ).
cnf(s3824,plain,
( ~ spl2_88
| spl2_110
| ~ spl2_148
| spl2_246 ),
inference(sat_conversion,[],[f29499]) ).
cnf(s3828,plain,
( spl2_127
| ~ spl2_187
| spl2_316 ),
inference(sat_conversion,[],[f29503]) ).
cnf(s3829,plain,
( spl2_121
| ~ spl2_148
| spl2_256 ),
inference(sat_conversion,[],[f29504]) ).
cnf(s3833,plain,
( ~ spl2_28
| spl2_225
| spl2_392 ),
inference(sat_conversion,[],[f29517]) ).
cnf(s3834,plain,
( spl2_95
| ~ spl2_194
| spl2_265 ),
inference(sat_conversion,[],[f29530]) ).
cnf(s3835,plain,
( ~ spl2_80
| spl2_225
| spl2_238 ),
inference(sat_conversion,[],[f29535]) ).
cnf(s3839,plain,
( spl2_7
| ~ spl2_201
| spl2_386 ),
inference(sat_conversion,[],[f29554]) ).
cnf(s3845,plain,
( spl2_14
| ~ spl2_124
| spl2_128 ),
inference(sat_conversion,[],[f29580]) ).
cnf(s3846,plain,
( spl2_16
| spl2_19
| ~ spl2_80
| ~ spl2_100
| ~ spl2_104
| ~ spl2_390 ),
inference(sat_conversion,[],[f29606]) ).
cnf(s3847,plain,
( spl2_14
| spl2_15
| ~ spl2_19 ),
inference(sat_conversion,[],[f29609]) ).
cnf(s3851,plain,
( ~ spl2_117
| spl2_120
| ~ spl2_132
| spl2_220 ),
inference(sat_conversion,[],[f29671]) ).
cnf(s3854,plain,
( ~ spl2_77
| ~ spl2_117
| spl2_120
| spl2_231 ),
inference(sat_conversion,[],[f29756]) ).
cnf(s3856,plain,
( ~ spl2_79
| spl2_121
| spl2_255 ),
inference(sat_conversion,[],[f29790]) ).
cnf(s3859,plain,
( ~ spl2_19
| ~ spl2_128
| ~ spl2_201 ),
inference(sat_conversion,[],[f29832]) ).
cnf(s3874,plain,
( ~ spl2_4
| ~ spl2_37
| spl2_194
| ~ spl2_218 ),
inference(sat_conversion,[],[f30041]) ).
cnf(s3878,plain,
( ~ spl2_124
| ~ spl2_472 ),
inference(sat_conversion,[],[f30070]) ).
cnf(s3879,plain,
( ~ spl2_294
| spl2_335
| spl2_342 ),
inference(sat_conversion,[],[f30071]) ).
cnf(s3884,plain,
( ~ spl2_13
| ~ spl2_145
| ~ spl2_194
| spl2_279
| ~ spl2_306
| ~ spl2_404 ),
inference(sat_conversion,[],[f30129]) ).
cnf(s3886,plain,
( ~ spl2_13
| spl2_92
| spl2_108
| spl2_130 ),
inference(sat_conversion,[],[f30131]) ).
cnf(s3891,plain,
( ~ spl2_200
| ~ spl2_335
| ~ spl2_434 ),
inference(sat_conversion,[],[f30167]) ).
cnf(s3892,plain,
( ~ spl2_77
| spl2_108
| spl2_125 ),
inference(sat_conversion,[],[f30168]) ).
cnf(s3894,plain,
( ~ spl2_117
| spl2_120
| ~ spl2_151
| spl2_254 ),
inference(sat_conversion,[],[f30170]) ).
cnf(s3898,plain,
( spl2_117
| spl2_121
| spl2_122 ),
inference(sat_conversion,[],[f30196]) ).
cnf(s3902,plain,
( ~ spl2_14
| ~ spl2_292
| ~ spl2_325 ),
inference(sat_conversion,[],[f30210]) ).
cnf(s3904,plain,
( ~ spl2_79
| spl2_124
| spl2_125 ),
inference(sat_conversion,[],[f30215]) ).
cnf(s3905,plain,
( ~ spl2_77
| ~ spl2_116
| spl2_252
| spl2_267 ),
inference(sat_conversion,[],[f30217]) ).
cnf(s3906,plain,
( ~ spl2_116
| ~ spl2_151
| spl2_191
| spl2_252 ),
inference(sat_conversion,[],[f30218]) ).
cnf(s3908,plain,
( ~ spl2_225
| ~ spl2_327
| ~ spl2_328 ),
inference(sat_conversion,[],[f30236]) ).
cnf(s3909,plain,
( ~ spl2_151
| ~ spl2_189
| ~ spl2_252 ),
inference(sat_conversion,[],[f30268]) ).
cnf(s3918,plain,
( ~ spl2_201
| ~ spl2_295
| ~ spl2_335 ),
inference(sat_conversion,[],[f30396]) ).
cnf(s3919,plain,
( spl2_85
| ~ spl2_183
| spl2_304 ),
inference(sat_conversion,[],[f30397]) ).
cnf(s3920,plain,
( spl2_23
| ~ spl2_24
| ~ spl2_91
| spl2_219 ),
inference(sat_conversion,[],[f30398]) ).
cnf(s3923,plain,
( ~ spl2_17
| ~ spl2_77
| spl2_108
| ~ spl2_116
| ~ spl2_199 ),
inference(sat_conversion,[],[f30405]) ).
cnf(s3924,plain,
( ~ spl2_77
| spl2_130
| ~ spl2_199
| spl2_239 ),
inference(sat_conversion,[],[f30406]) ).
cnf(s3928,plain,
( ~ spl2_134
| ~ spl2_150
| ~ spl2_306 ),
inference(sat_conversion,[],[f30414]) ).
cnf(s3929,plain,
( ~ spl2_79
| ~ spl2_84
| spl2_187
| spl2_192 ),
inference(sat_conversion,[],[f30415]) ).
cnf(s3930,plain,
( ~ spl2_17
| ~ spl2_22
| ~ spl2_24
| spl2_85
| ~ spl2_91 ),
inference(sat_conversion,[],[f30416]) ).
cnf(s3932,plain,
( ~ spl2_183
| spl2_219
| ~ spl2_230
| spl2_240 ),
inference(sat_conversion,[],[f30418]) ).
cnf(s3933,plain,
( spl2_85
| ~ spl2_91
| spl2_190 ),
inference(sat_conversion,[],[f30419]) ).
cnf(s3934,plain,
( spl2_20
| ~ spl2_22
| ~ spl2_91
| spl2_194 ),
inference(sat_conversion,[],[f30420]) ).
cnf(s3938,plain,
( spl2_116
| spl2_124
| spl2_142 ),
inference(sat_conversion,[],[f30481]) ).
cnf(s3942,plain,
( ~ spl2_73
| spl2_94
| spl2_95 ),
inference(sat_conversion,[],[f30493]) ).
cnf(s3943,plain,
( ~ spl2_75
| spl2_105
| spl2_106 ),
inference(sat_conversion,[],[f30498]) ).
cnf(s3944,plain,
( spl2_95
| ~ spl2_134
| spl2_136 ),
inference(sat_conversion,[],[f30522]) ).
cnf(s3945,plain,
( spl2_127
| ~ spl2_147
| spl2_156 ),
inference(sat_conversion,[],[f30527]) ).
cnf(s3946,plain,
( spl2_166
| ~ spl2_290
| spl2_301 ),
inference(sat_conversion,[],[f30572]) ).
cnf(s3947,plain,
( spl2_108
| ~ spl2_146
| spl2_161 ),
inference(sat_conversion,[],[f30619]) ).
cnf(s3951,plain,
( ~ spl2_288
| spl2_335
| spl2_367 ),
inference(sat_conversion,[],[f30653]) ).
cnf(s3955,plain,
( ~ spl2_150
| ~ spl2_156
| ~ spl2_290 ),
inference(sat_conversion,[],[f30690]) ).
cnf(s3956,plain,
( ~ spl2_31
| spl2_196
| ~ spl2_384 ),
inference(sat_conversion,[],[f30734]) ).
cnf(s3961,plain,
( spl2_7
| ~ spl2_324
| spl2_385 ),
inference(sat_conversion,[],[f30740]) ).
cnf(s3964,plain,
( ~ spl2_124
| spl2_201
| ~ spl2_384 ),
inference(sat_conversion,[],[f30748]) ).
cnf(s3966,plain,
( spl2_95
| ~ spl2_219
| spl2_412 ),
inference(sat_conversion,[],[f30752]) ).
cnf(s3967,plain,
( ~ spl2_219
| ~ spl2_324
| ~ spl2_439 ),
inference(sat_conversion,[],[f30754]) ).
cnf(s3968,plain,
( ~ spl2_139
| ~ spl2_156
| ~ spl2_200 ),
inference(sat_conversion,[],[f30772]) ).
cnf(s3969,plain,
( spl2_127
| ~ spl2_139
| spl2_398 ),
inference(sat_conversion,[],[f30773]) ).
cnf(s3970,plain,
( spl2_7
| ~ spl2_211
| spl2_389 ),
inference(sat_conversion,[],[f30784]) ).
cnf(s3971,plain,
( spl2_166
| ~ spl2_176
| spl2_393 ),
inference(sat_conversion,[],[f30787]) ).
cnf(s3974,plain,
( ~ spl2_74
| spl2_86
| spl2_108 ),
inference(sat_conversion,[],[f30884]) ).
cnf(s3983,plain,
( ~ spl2_72
| ~ spl2_146
| ~ spl2_182 ),
inference(sat_conversion,[],[f31151]) ).
cnf(s3985,plain,
( ~ spl2_116
| ~ spl2_132
| spl2_194
| spl2_252 ),
inference(sat_conversion,[],[f31156]) ).
cnf(s3990,plain,
( ~ spl2_151
| ~ spl2_230
| ~ spl2_239 ),
inference(sat_conversion,[],[f31196]) ).
cnf(s3991,plain,
( spl2_105
| ~ spl2_145
| spl2_284 ),
inference(sat_conversion,[],[f31227]) ).
cnf(s3992,plain,
( ~ spl2_145
| ~ spl2_198
| ~ spl2_389 ),
inference(sat_conversion,[],[f31229]) ).
cnf(s3995,plain,
( spl2_211
| ~ spl2_289
| spl2_364 ),
inference(sat_conversion,[],[f31232]) ).
cnf(s3996,plain,
( ~ spl2_143
| spl2_211
| spl2_241 ),
inference(sat_conversion,[],[f31233]) ).
cnf(s3998,plain,
( spl2_105
| ~ spl2_130
| spl2_404 ),
inference(sat_conversion,[],[f31238]) ).
cnf(s3999,plain,
( spl2_122
| spl2_183
| spl2_280 ),
inference(sat_conversion,[],[f31257]) ).
cnf(s4003,plain,
( spl2_95
| ~ spl2_280
| spl2_306 ),
inference(sat_conversion,[],[f31263]) ).
cnf(s4006,plain,
( ~ spl2_146
| spl2_188
| ~ spl2_189
| spl2_267 ),
inference(sat_conversion,[],[f31299]) ).
cnf(s4008,plain,
( ~ spl2_116
| ~ spl2_149
| ~ spl2_188 ),
inference(sat_conversion,[],[f31347]) ).
cnf(s4010,plain,
( spl2_124
| ~ spl2_149
| spl2_175 ),
inference(sat_conversion,[],[f31350]) ).
cnf(s4012,plain,
( ~ spl2_149
| spl2_201
| spl2_207 ),
inference(sat_conversion,[],[f31353]) ).
cnf(s4013,plain,
( ~ spl2_127
| ~ spl2_152
| ~ spl2_280 ),
inference(sat_conversion,[],[f31367]) ).
cnf(s4015,plain,
( ~ spl2_127
| ~ spl2_150
| ~ spl2_152 ),
inference(sat_conversion,[],[f31371]) ).
cnf(s4016,plain,
~ spl2_30,
inference(rat,[],[s3100,s1808]) ).
cnf(s4022,plain,
( ~ spl2_147
| spl2_200
| ~ spl2_258 ),
inference(rat,[],[s1508,s4016]) ).
cnf(s4023,plain,
( ~ spl2_75
| spl2_200
| ~ spl2_258 ),
inference(rat,[],[s1507,s4016]) ).
cnf(s4033,plain,
( spl2_84
| spl2_108 ),
inference(rat,[],[s1373,s1428]) ).
cnf(s4035,plain,
( spl2_117
| spl2_121 ),
inference(rat,[],[s1202,s1428]) ).
cnf(s4037,plain,
( ~ spl2_7
| spl2_132
| ~ spl2_139 ),
inference(rat,[],[s1163,s1808]) ).
cnf(s4041,plain,
( spl2_22
| spl2_31 ),
inference(rat,[],[s858,s4016]) ).
cnf(s4050,plain,
( spl2_183
| spl2_280 ),
inference(rat,[],[s758,s1428]) ).
cnf(s4054,plain,
( spl2_37
| spl2_42 ),
inference(rat,[],[s638,s4016]) ).
cnf(s4055,plain,
( spl2_80
| spl2_88 ),
inference(rat,[],[s616,s4016]) ).
cnf(s4056,plain,
( spl2_91
| spl2_220 ),
inference(rat,[],[s612,s4016]) ).
cnf(s4057,plain,
( spl2_85
| spl2_109 ),
inference(rat,[],[s593,s1808]) ).
cnf(s4059,plain,
( spl2_28
| spl2_104
| spl2_196
| spl2_198 ),
inference(rat,[],[s582,s1808]) ).
cnf(s4073,plain,
( spl2_81
| spl2_104 ),
inference(rat,[],[s403,s1808]) ).
cnf(s4085,plain,
( spl2_147
| spl2_148 ),
inference(rat,[],[s309,s1808]) ).
cnf(s4088,plain,
( spl2_143
| spl2_144 ),
inference(rat,[],[s306,s1808]) ).
cnf(s4096,plain,
( spl2_132
| spl2_134 ),
inference(rat,[],[s284,s1808]) ).
cnf(s4097,plain,
( ~ spl2_7
| ~ spl2_28
| spl2_91 ),
inference(rat,[],[s281,s4016]) ).
cnf(s4101,plain,
( spl2_117
| spl2_121 ),
inference(rat,[],[s250,s1428]) ).
cnf(s4107,plain,
( spl2_81
| spl2_104 ),
inference(rat,[],[s197,s1808]) ).
cnf(s4118,plain,
( spl2_78
| spl2_79 ),
inference(rat,[],[s108,s4016]) ).
cnf(s4119,plain,
( spl2_76
| spl2_77 ),
inference(rat,[],[s107,s4016]) ).
cnf(s4120,plain,
( spl2_74
| spl2_75 ),
inference(rat,[],[s106,s4016]) ).
cnf(s4123,plain,
( spl2_37
| spl2_42 ),
inference(rat,[],[s33,s4016]) ).
cnf(s4124,plain,
( spl2_22
| spl2_31 ),
inference(rat,[],[s14,s4016]) ).
cnf(s4127,plain,
( ~ spl2_78
| spl2_200
| spl2_103
| spl2_219
| ~ spl2_390
| ~ spl2_94 ),
inference(rat,[],[s3427,s1596,s3051]) ).
cnf(s4130,plain,
( ~ spl2_95
| spl2_196
| spl2_28
| ~ spl2_31
| spl2_29 ),
inference(rat,[],[s2568,s650,s681,s4016]) ).
cnf(s4132,plain,
( ~ spl2_108
| ~ spl2_262
| spl2_14
| ~ spl2_19 ),
inference(rat,[],[s1813,s595,s647,s2056,s3549,s3847,s3076,s1808]) ).
cnf(s4133,plain,
( ~ spl2_219
| ~ spl2_72
| ~ spl2_84
| spl2_95
| ~ spl2_15
| ~ spl2_19 ),
inference(rat,[],[s1875,s3268,s4057,s3081,s3420,s3966]) ).
cnf(s4134,plain,
( ~ spl2_220
| ~ spl2_72
| ~ spl2_84
| spl2_95
| ~ spl2_262
| ~ spl2_31 ),
inference(rat,[],[s1875,s3268,s4057,s730,s653,s3397]) ).
cnf(s4136,plain,
( ~ spl2_187
| ~ spl2_27
| spl2_196
| spl2_28
| ~ spl2_8 ),
inference(rat,[],[s1659,s922,s3267,s1428]) ).
cnf(s4137,plain,
( ~ spl2_124
| ~ spl2_262
| spl2_14
| ~ spl2_19 ),
inference(rat,[],[s1723,s3859,s1069,s1658,s3845,s3847,s3076,s1428]) ).
cnf(s4138,plain,
( ~ spl2_79
| spl2_187
| ~ spl2_116
| ~ spl2_84 ),
inference(rat,[],[s1351,s3929]) ).
cnf(s4139,plain,
( ~ spl2_220
| ~ spl2_132
| ~ spl2_116
| spl2_95
| ~ spl2_262
| ~ spl2_31 ),
inference(rat,[],[s1546,s3985,s4057,s730,s653,s3397]) ).
cnf(s4141,plain,
( ~ spl2_73
| spl2_219
| ~ spl2_78
| ~ spl2_116
| spl2_95
| spl2_196
| spl2_28
| spl2_225
| ~ spl2_262
| ~ spl2_31
| spl2_7 ),
inference(rat,[],[s2176,s3683,s3346,s770,s2169,s3676,s3113,s4056,s4139,s1815,s1596,s3942,s2749,s20,s1808,s4016]) ).
cnf(s4142,plain,
( spl2_219
| ~ spl2_78
| ~ spl2_116
| ~ spl2_84
| spl2_95
| spl2_196
| spl2_28
| ~ spl2_262
| ~ spl2_31
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1875,s4057,s3268,s2552,s3154,s3431,s3113,s4134,s3109,s4141,s3266,s2052,s1655,s4016]) ).
cnf(s4143,plain,
( ~ spl2_78
| ~ spl2_31
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1546,s3985,s1815,s1596,s3942,s3109,s4057,s3081,s4133,s3420,s3966,s4142,s4130,s3076,s1760,s3847,s4033,s4132,s568,s4137,s3542,s38,s1625,s1808,s4016]) ).
cnf(s4144,plain,
( ~ spl2_31
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1723,s3969,s3624,s2229,s1659,s2453,s3267,s3654,s4138,s3111,s4143,s568,s4137,s4033,s4132,s3076,s1760,s3542,s3266,s3847,s38,s1625,s1428,s4016]) ).
cnf(s4145,plain,
( ~ spl2_220
| spl2_201
| spl2_398
| ~ spl2_73
| spl2_219
| spl2_95
| spl2_28
| spl2_196
| spl2_7 ),
inference(rat,[],[s3343,s1191,s2169,s1723,s3146,s3346,s3969,s2176,s2230,s1168,s3397,s3942,s605,s1659,s1428,s1808]) ).
cnf(s4146,plain,
( spl2_220
| spl2_219
| spl2_196
| spl2_20
| ~ spl2_22
| ~ spl2_8 ),
inference(rat,[],[s3154,s3934,s3113,s4056,s4016]) ).
cnf(s4147,plain,
( ~ spl2_73
| ~ spl2_220
| spl2_219
| spl2_95
| spl2_28
| ~ spl2_116
| ~ spl2_84
| spl2_196
| ~ spl2_19
| ~ spl2_8
| spl2_7 ),
inference(rat,[],[s4145,s3267,s3654,s4138,s3111,s4127,s2169,s3146,s3346,s2176,s1168,s3942,s4016,s1808]) ).
cnf(s4151,plain,
( ~ spl2_147
| ~ spl2_86
| ~ spl2_95
| ~ spl2_116 ),
inference(rat,[],[s267,s1815,s3112,s1196,s1885,s1808,s4016]) ).
cnf(s4154,plain,
( ~ spl2_132
| ~ spl2_199
| ~ spl2_109
| spl2_219
| ~ spl2_116
| ~ spl2_8 ),
inference(rat,[],[s3154,s3985,s3423,s1546]) ).
cnf(s4155,plain,
( spl2_201
| ~ spl2_140
| ~ spl2_109
| ~ spl2_257
| spl2_219
| ~ spl2_94
| ~ spl2_116
| ~ spl2_24
| ~ spl2_8 ),
inference(rat,[],[s3642,s3111,s2970,s1596,s1191,s1815,s4154,s605,s4016,s1808]) ).
cnf(s4157,plain,
( ~ spl2_412
| ~ spl2_28
| spl2_20
| ~ spl2_22
| ~ spl2_19 ),
inference(rat,[],[s610,s3934,s3281,s3081]) ).
cnf(s4158,plain,
( spl2_80
| spl2_42
| ~ spl2_109
| ~ spl2_22 ),
inference(rat,[],[s3586,s4055,s848]) ).
cnf(s4159,plain,
( ~ spl2_187
| ~ spl2_80
| spl2_103
| spl2_200
| ~ spl2_257
| spl2_219
| spl2_196
| ~ spl2_19
| ~ spl2_8 ),
inference(rat,[],[s3969,s1723,s2128,s1191,s3427,s3267,s3654,s1428]) ).
cnf(s4161,plain,
( ~ spl2_220
| ~ spl2_109
| ~ spl2_95
| ~ spl2_28
| ~ spl2_116
| ~ spl2_24
| spl2_108
| ~ spl2_223
| ~ spl2_22
| ~ spl2_19
| ~ spl2_8 ),
inference(rat,[],[s3112,s3039,s3898,s2917,s2078,s2230,s3998,s3111,s3969,s2076,s3642,s1008,s3267,s3654,s3413,s3567,s3023,s266,s3974,s3260,s482,s3114,s1816,s1431,s2674,s2675,s2676,s3833,s1770,s4158,s660,s848,s651,s589,s681,s1625,s4016,s1808,s1428]) ).
cnf(s4162,plain,
( ~ spl2_73
| ~ spl2_199
| spl2_398
| ~ spl2_109
| ~ spl2_95
| ~ spl2_116
| spl2_108
| ~ spl2_19 ),
inference(rat,[],[s3215,s3112,s678,s2237,s3998,s3969,s3413,s3023,s3260,s1204,s1816,s2076,s4151,s3567,s687,s3974,s3114,s1456,s4033,s589,s681,s1625,s4016,s1808]) ).
cnf(s4163,plain,
( ~ spl2_187
| ~ spl2_91
| spl2_85
| ~ spl2_95
| ~ spl2_28
| ~ spl2_116
| ~ spl2_24
| spl2_108
| ~ spl2_19
| ~ spl2_8 ),
inference(rat,[],[s3413,s3998,s3114,s1204,s2484,s1855,s2102,s1816,s4073,s2025,s4151,s1046,s3262,s3186,s3109,s4162,s605,s3267,s3654,s4033,s589,s681,s1625,s4057,s3933,s4016,s1808]) ).
cnf(s4165,plain,
( ~ spl2_187
| ~ spl2_257
| ~ spl2_220
| ~ spl2_116
| spl2_28
| spl2_196
| ~ spl2_15
| ~ spl2_19
| ~ spl2_8 ),
inference(rat,[],[s1546,s4057,s3985,s3420,s3154,s861,s589,s2901,s492,s1816,s449,s2318,s1815,s3624,s1191,s1723,s440,s3969,s2230,s1659,s3267,s3654,s1808,s1428]) ).
cnf(s4166,plain,
( spl2_219
| ~ spl2_109
| ~ spl2_78
| ~ spl2_220
| ~ spl2_116
| ~ spl2_84
| spl2_28
| spl2_196
| spl2_95
| ~ spl2_19
| ~ spl2_8
| spl2_7 ),
inference(rat,[],[s2943,s3052,s1723,s2128,s1191,s3427,s3051,s3146,s3346,s881,s3333,s2568,s3154,s3268,s1875,s3109,s4147,s3397,s1428,s4016]) ).
cnf(s4167,plain,
( ~ spl2_219
| ~ spl2_257
| ~ spl2_84
| spl2_196
| spl2_95
| ~ spl2_15
| ~ spl2_19 ),
inference(rat,[],[s1813,s2630,s2593,s726,s3942,s3109,s4133,s3966,s1808,s4016]) ).
cnf(s4168,plain,
( ~ spl2_220
| ~ spl2_116
| ~ spl2_84
| spl2_28
| spl2_196
| spl2_95
| spl2_14
| ~ spl2_19
| ~ spl2_8
| spl2_7 ),
inference(rat,[],[s2943,s3052,s1723,s2128,s1191,s3427,s3051,s3146,s3346,s881,s3333,s2568,s598,s3672,s4057,s3109,s4166,s4147,s4167,s3111,s4138,s4165,s3397,s3847,s1428,s4016]) ).
cnf(s4169,plain,
( spl2_220
| spl2_196
| spl2_95
| spl2_20
| ~ spl2_22
| ~ spl2_19
| ~ spl2_8 ),
inference(rat,[],[s3081,s3966,s3934,s4146,s4056]) ).
cnf(s4170,plain,
( ~ spl2_129
| ~ spl2_72
| spl2_225
| ~ spl2_104
| spl2_130
| ~ spl2_36 ),
inference(rat,[],[s2394,s3835,s3114,s3561,s447,s2353,s448,s356,s4016]) ).
cnf(s4171,plain,
( ~ spl2_148
| ~ spl2_109
| spl2_187
| ~ spl2_116 ),
inference(rat,[],[s482,s741]) ).
cnf(s4172,plain,
( ~ spl2_116
| spl2_28
| ~ spl2_220
| spl2_196
| spl2_95
| ~ spl2_22
| spl2_14
| ~ spl2_19
| ~ spl2_8
| spl2_7 ),
inference(rat,[],[s1659,s2317,s2470,s1816,s4171,s3431,s3123,s2394,s3835,s4158,s4057,s3420,s861,s4170,s1374,s3109,s3683,s3258,s726,s2176,s1813,s595,s2056,s3549,s1745,s4033,s1382,s4165,s4168,s3847,s3397,s20,s1428,s1808,s4016]) ).
cnf(s4173,plain,
( ~ spl2_124
| ~ spl2_220
| spl2_196
| spl2_95
| spl2_14
| ~ spl2_19
| spl2_47 ),
inference(rat,[],[s2680,s3112,s595,s767,s2056,s3549,s4033,s4167,s861,s2901,s1816,s449,s2318,s1815,s3624,s1191,s605,s1723,s440,s3859,s1658,s1877,s3845,s3847,s3397,s4016,s1808,s1428]) ).
cnf(s4174,plain,
( spl2_84
| spl2_219
| ~ spl2_28
| ~ spl2_257
| spl2_196
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4158,s4057,s3835,s2552,s1770,s3233,s3431,s3833,s3121,s3258,s726,s1813,s595,s2056,s3549,s1745,s4033,s1382,s3847,s38,s1625,s4041,s4144,s1808]) ).
cnf(s4175,plain,
( ~ spl2_72
| ~ spl2_109
| ~ spl2_84
| spl2_219
| ~ spl2_116
| ~ spl2_220
| spl2_196
| spl2_95
| ~ spl2_22
| ~ spl2_19
| ~ spl2_8
| spl2_7 ),
inference(rat,[],[s2943,s3052,s1723,s2128,s1191,s3427,s3051,s3111,s4138,s4159,s3146,s3346,s881,s4158,s3333,s680,s3154,s3834,s3268,s1875,s3397,s1428,s4016]) ).
cnf(s4176,plain,
( ~ spl2_109
| ~ spl2_84
| spl2_219
| ~ spl2_116
| ~ spl2_220
| spl2_196
| spl2_95
| ~ spl2_22
| ~ spl2_19
| ~ spl2_8
| spl2_7 ),
inference(rat,[],[s2315,s3052,s1816,s3111,s4171,s4138,s713,s3267,s4155,s3178,s726,s3942,s3109,s4175,s1625,s907,s3397,s1808,s4016]) ).
cnf(s4177,plain,
( ~ spl2_78
| ~ spl2_390
| ~ spl2_198
| spl2_200
| ~ spl2_85
| spl2_219
| ~ spl2_257
| spl2_196 ),
inference(rat,[],[s2943,s3052,s1723,s2130,s1191,s3427,s3051,s3146,s1428]) ).
cnf(s4178,plain,
( ~ spl2_198
| spl2_200
| ~ spl2_85
| ~ spl2_84
| spl2_219
| ~ spl2_116
| ~ spl2_257
| spl2_196
| ~ spl2_19
| ~ spl2_8
| spl2_7 ),
inference(rat,[],[s3969,s1723,s2130,s1191,s3427,s3267,s3654,s4138,s3111,s4177,s3146,s3346,s1428,s4016]) ).
cnf(s4179,plain,
( ~ spl2_78
| spl2_103
| ~ spl2_130
| ~ spl2_94
| ~ spl2_73
| spl2_200
| spl2_219
| spl2_29 ),
inference(rat,[],[s2901,s449,s1816,s440,s2315,s3969,s3052,s713,s3427,s1815,s2134,s1596,s861,s1808]) ).
cnf(s4180,plain,
( spl2_196
| spl2_95
| spl2_20
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3427,s3267,s756,s4138,s3111,s4179,s2653,s1140,s4073,s3549,s17,s1813,s1168,s729,s792,s726,s3942,s3109,s2960,s881,s4178,s1712,s4054,s1770,s3833,s598,s2104,s3672,s4057,s4176,s4174,s3966,s4157,s4172,s568,s4173,s3397,s4169,s1655,s3266,s38,s1625,s4041,s4144,s4016,s1808]) ).
cnf(s4181,plain,
( ~ spl2_147
| ~ spl2_238
| spl2_104
| ~ spl2_106
| ~ spl2_116
| ~ spl2_223 ),
inference(rat,[],[s3039,s4035,s3112,s2317,s1586,s4016]) ).
cnf(s4182,plain,
( spl2_84
| spl2_219
| spl2_96
| spl2_200
| ~ spl2_220
| ~ spl2_116
| spl2_42
| spl2_225
| spl2_95
| ~ spl2_223
| ~ spl2_22
| spl2_14
| ~ spl2_19
| ~ spl2_8
| spl2_47 ),
inference(rat,[],[s3969,s2128,s3424,s3427,s3267,s3654,s4171,s1816,s4181,s3835,s4158,s4057,s1168,s729,s3942,s3943,s3121,s3123,s595,s679,s2056,s3549,s4033,s1382,s3847,s1808]) ).
cnf(s4183,plain,
( ~ spl2_134
| ~ spl2_147
| ~ spl2_80
| ~ spl2_109
| ~ spl2_78
| ~ spl2_84
| spl2_219
| spl2_96
| spl2_200
| ~ spl2_36
| ~ spl2_196
| spl2_95
| spl2_29
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s2754,s3366,s2353,s3567,s3404,s687,s1716,s3114,s678,s3346,s2282,s3121,s3945,s3942,s2128,s1596,s861,s4016]) ).
cnf(s4184,plain,
( ~ spl2_109
| spl2_187
| ~ spl2_220
| ~ spl2_116
| ~ spl2_36
| ~ spl2_196
| spl2_95
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3121,s2315,s3346,s3052,s3051,s713,s605,s4154,s1815,s4183,s1816,s4171,s4158,s3111,s4138,s4182,s1601,s3397,s1475,s1689,s2218,s2757,s1766,s618,s514,s4041,s4144,s38,s1625,s3266,s1655,s1808,s4016]) ).
cnf(s4185,plain,
( ~ spl2_176
| spl2_267
| ~ spl2_404
| spl2_103
| ~ spl2_84
| spl2_279
| ~ spl2_15 ),
inference(rat,[],[s1263,s4006,s3158,s835,s3628,s2072]) ).
cnf(s4186,plain,
( spl2_73
| ~ spl2_85
| ~ spl2_78
| ~ spl2_84
| ~ spl2_257
| ~ spl2_220
| ~ spl2_116
| ~ spl2_36
| ~ spl2_196
| spl2_31
| spl2_279
| ~ spl2_15
| spl2_29
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s2197,s3970,s3815,s1227,s1431,s3955,s3128,s3635,s2859,s2891,s4185,s3366,s3998,s2754,s2353,s3404,s3114,s3943,s3945,s4181,s2317,s3424,s440,s2943,s3835,s3052,s4055,s2130,s3580,s3427,s1046,s1140,s4073,s17,s1716,s3051,s1714,s678,s3346,s3121,s3109,s514,s618,s1712,s4054,s1766,s3266,s1475,s1689,s589,s2218,s2757,s861,s1601,s1428,s4016]) ).
cnf(s4187,plain,
( ~ spl2_176
| ~ spl2_398
| spl2_187
| spl2_96
| ~ spl2_116
| spl2_279
| ~ spl2_15 ),
inference(rat,[],[s2026,s4008,s3128,s835,s3320,s2072]) ).
cnf(s4188,plain,
( spl2_187
| ~ spl2_220
| ~ spl2_116
| ~ spl2_36
| ~ spl2_196
| spl2_95
| spl2_279
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s2496,s3894,s1227,s3124,s1431,s2880,s1585,s1811,s3644,s2885,s4187,s3969,s2848,s3715,s3829,s3126,s1816,s750,s2315,s4035,s3505,s3943,s1498,s3052,s2462,s3074,s3123,s356,s3346,s713,s3839,s4179,s4127,s3427,s1140,s17,s1596,s1168,s792,s3942,s4186,s4057,s4184,s3111,s4138,s3847,s1712,s4054,s589,s861,s4182,s1601,s3397,s1475,s1689,s2218,s2757,s1766,s618,s514,s4041,s4144,s38,s1625,s3266,s1655,s1428,s1808,s4016]) ).
cnf(s4189,plain,
( ~ spl2_85
| spl2_103
| ~ spl2_134
| spl2_201
| spl2_398
| ~ spl2_187
| spl2_200 ),
inference(rat,[],[s3424,s3969,s3945,s2130,s994]) ).
cnf(s4190,plain,
( ~ spl2_220
| ~ spl2_116
| ~ spl2_36
| ~ spl2_196
| spl2_95
| spl2_279
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1716,s3346,s4073,s881,s3545,s2631,s3218,s761,s3111,s4035,s4183,s2317,s3424,s3969,s2128,s3835,s4158,s4057,s4189,s1140,s17,s793,s1191,s1815,s3423,s605,s3267,s3654,s4188,s4182,s1601,s1475,s2218,s3397,s1655,s38,s4041,s514,s1689,s2757,s618,s1625,s1712,s4054,s1766,s3266,s4144,s4016,s1808]) ).
cnf(s4191,plain,
( spl2_73
| spl2_219
| spl2_96
| spl2_200
| spl2_220
| ~ spl2_196
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3236,s4073,s2653,s1716,s3057,s3346,s3121,s3109,s4054,s1766,s3266,s4016]) ).
cnf(s4192,plain,
( spl2_134
| spl2_219
| spl2_103
| spl2_200
| spl2_220
| ~ spl2_196
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3851,s4035,s3505,s2462,s3074,s3839,s3427,s1815,s4054,s1766,s3266,s1808]) ).
cnf(s4193,plain,
( ~ spl2_116
| ~ spl2_36
| spl2_95
| spl2_20
| spl2_279
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3424,s3945,s3969,s2356,s3267,s3654,s3545,s4138,s3111,s1596,s2128,s4192,s4073,s2653,s4033,s3683,s847,s770,s3942,s4191,s3676,s2749,s3966,s3142,s1746,s3154,s3081,s2175,s3934,s4056,s4190,s4041,s1689,s2757,s618,s1625,s1712,s4054,s1766,s4180,s3266,s4144,s4016]) ).
cnf(s4195,plain,
( ~ spl2_108
| ~ spl2_128
| spl2_14
| ~ spl2_19 ),
inference(rat,[],[s2680,s3112,s595,s767,s2056,s3549,s3847,s605,s3859,s4016]) ).
cnf(s4196,plain,
( ~ spl2_220
| ~ spl2_124
| ~ spl2_36
| ~ spl2_196
| spl2_95
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1716,s3346,s4073,s881,s3545,s2637,s3111,s4183,s4158,s4057,s3672,s370,s1191,s1816,s1815,s492,s3423,s589,s1601,s1475,s2218,s3397,s4041,s4144,s1689,s2757,s1658,s3847,s605,s3859,s4033,s2653,s4195,s3845,s38,s1625,s4054,s1766,s3266,s4016,s1808]) ).
cnf(s4197,plain,
( ~ spl2_36
| spl2_95
| spl2_20
| spl2_142
| spl2_279
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3427,s3944,s3966,s3142,s993,s3154,s3081,s2175,s3934,s4056,s4196,s3859,s3845,s3938,s4193,s38,s1625,s4041,s1689,s2757,s1712,s4054,s1766,s4180,s3266,s4144]) ).
cnf(s4198,plain,
( ~ spl2_211
| ~ spl2_81
| spl2_93
| ~ spl2_390
| ~ spl2_388 ),
inference(rat,[],[s1814,s3658,s1717,s2496,s1808]) ).
cnf(s4199,plain,
( ~ spl2_78
| spl2_122
| spl2_201
| ~ spl2_84
| spl2_96
| spl2_200
| spl2_219
| ~ spl2_196
| spl2_95
| spl2_31
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3928,s4003,s3128,s3999,s1362,s3086,s821,s4198,s2943,s3052,s2128,s4055,s3580,s1046,s4073,s2653,s1716,s3057,s3346,s3121,s3109,s3942,s1596,s2757,s4054,s1766,s3266,s1815,s3423,s605,s4016,s1808]) ).
cnf(s4200,plain,
( spl2_201
| ~ spl2_220
| ~ spl2_116
| spl2_219
| ~ spl2_196
| spl2_95
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4107,s3545,s1716,s761,s3346,s4035,s881,s2317,s2637,s3424,s3969,s2128,s3835,s4158,s4057,s4189,s3654,s4138,s3111,s4199,s1022,s3142,s17,s793,s1191,s1815,s3423,s605,s1712,s4054,s3397,s4182,s1475,s1689,s2218,s2757,s1766,s618,s514,s4041,s4144,s38,s1625,s3266,s1655,s4016,s1808]) ).
cnf(s4201,plain,
( spl2_139
| ~ spl2_132
| ~ spl2_148
| ~ spl2_129 ),
inference(rat,[],[s449,s2901,s440]) ).
cnf(s4202,plain,
( spl2_211
| spl2_176
| ~ spl2_106
| spl2_130
| spl2_198
| ~ spl2_202 ),
inference(rat,[],[s1585,s1811,s1431,s2681,s1227,s821,s1808,s1428]) ).
cnf(s4203,plain,
( ~ spl2_220
| ~ spl2_116
| spl2_219
| ~ spl2_196
| spl2_95
| spl2_279
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s2026,s835,s2810,s3128,s3544,s2197,s3318,s629,s3970,s4202,s4187,s3969,s4201,s3943,s2917,s3123,s1815,s1816,s3126,s4179,s1596,s2315,s750,s3942,s3121,s3346,s3052,s3051,s3111,s3142,s4035,s3505,s4138,s17,s2462,s3074,s713,s3267,s1713,s3839,s4200,s4182,s589,s1475,s2218,s3397,s1655,s3847,s38,s4041,s514,s1689,s2757,s618,s1625,s1712,s4054,s1766,s3266,s4144,s861,s1808,s4016]) ).
cnf(s4204,plain,
( ~ spl2_116
| spl2_219
| spl2_95
| spl2_20
| spl2_279
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4035,s2317,s3039,s3424,s3683,s3969,s770,s2128,s3835,s4158,s4057,s4189,s3267,s3654,s4138,s3112,s4033,s3111,s2280,s847,s1596,s3944,s3942,s4192,s4191,s3142,s1746,s3154,s2175,s3934,s4056,s4203,s4041,s514,s1689,s2757,s618,s1625,s1712,s4054,s1766,s4180,s3266,s4144,s4016]) ).
cnf(s4205,plain,
( ~ spl2_220
| spl2_93
| ~ spl2_84
| spl2_201
| spl2_139
| spl2_122
| spl2_219
| ~ spl2_196
| spl2_95
| spl2_31
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1716,s3346,s4073,s881,s756,s2637,s3111,s1815,s4199,s3423,s1475,s2218,s3397,s1689,s2757,s605,s4016,s1808]) ).
cnf(s4206,plain,
( spl2_95
| spl2_20
| spl2_142
| spl2_279
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4192,s3944,s3142,s993,s3154,s2175,s3934,s4056,s4205,s2653,s4033,s4195,s3859,s1658,s3845,s1019,s3938,s4204,s3966,s4157,s20,s4197,s1712,s4054,s1766,s1689,s2757,s4180,s3266,s3847,s38,s1625,s4041,s4144]) ).
cnf(s4207,plain,
( ~ spl2_196
| ~ spl2_109
| ~ spl2_95
| ~ spl2_22
| ~ spl2_8 ),
inference(rat,[],[s4158,s649,s1766]) ).
cnf(s4208,plain,
( ~ spl2_220
| ~ spl2_109
| ~ spl2_95
| ~ spl2_223
| ~ spl2_22
| ~ spl2_15
| ~ spl2_19
| ~ spl2_8 ),
inference(rat,[],[s4161,s568,s2056,s1658,s3413,s3260,s3114,s1816,s2674,s2675,s3833,s1770,s4158,s660,s2568,s651,s589,s681,s1625,s907,s4207,s4016,s1808]) ).
cnf(s4209,plain,
( spl2_139
| ~ spl2_121
| spl2_201
| ~ spl2_80
| spl2_196
| ~ spl2_202 ),
inference(rat,[],[s3945,s1816,s2356,s2231,s492,s1723,s1808,s1428]) ).
cnf(s4210,plain,
( ~ spl2_134
| ~ spl2_139
| ~ spl2_80
| ~ spl2_116
| ~ spl2_109
| ~ spl2_95
| ~ spl2_19 ),
inference(rat,[],[s3654,s482,s741,s3969,s1816,s2128,s1196,s1808]) ).
cnf(s4211,plain,
( spl2_187
| ~ spl2_84
| spl2_239
| ~ spl2_199
| ~ spl2_116
| ~ spl2_109
| ~ spl2_95
| ~ spl2_15 ),
inference(rat,[],[s2056,s3924,s3974,s3112,s3114,s4151,s1885,s1891,s1816,s3111,s4171,s4138,s4016,s1808]) ).
cnf(s4212,plain,
( ~ spl2_147
| spl2_398
| spl2_239
| ~ spl2_199
| ~ spl2_116
| spl2_85
| ~ spl2_95
| ~ spl2_15
| ~ spl2_19 ),
inference(rat,[],[s4162,s2056,s3109,s3924,s3186,s3112,s4151,s1885,s4057,s4016]) ).
cnf(s4213,plain,
( ~ spl2_78
| spl2_214
| spl2_193
| ~ spl2_132
| ~ spl2_116
| ~ spl2_109
| ~ spl2_95
| ~ spl2_15
| ~ spl2_19 ),
inference(rat,[],[s3112,s267,s2917,s3974,s3998,s2056,s2076,s3413,s3567,s3114,s1891,s589,s681,s1625,s4016]) ).
cnf(s4214,plain,
( ~ spl2_75
| spl2_28
| spl2_196
| ~ spl2_95 ),
inference(rat,[],[s2176,s1855,s1455,s1808]) ).
cnf(s4215,plain,
( ~ spl2_84
| ~ spl2_132
| spl2_201
| ~ spl2_74
| ~ spl2_116
| spl2_85
| ~ spl2_95
| ~ spl2_15
| ~ spl2_19 ),
inference(rat,[],[s3111,s3642,s4213,s3023,s1204,s1816,s4212,s3654,s687,s4211,s4057,s605,s1518,s589,s681,s1625,s4016,s1808]) ).
cnf(s4216,plain,
( ~ spl2_108
| ~ spl2_74
| ~ spl2_202
| spl2_14
| ~ spl2_19 ),
inference(rat,[],[s1175,s595,s2056,s3549,s3847]) ).
cnf(s4217,plain,
( spl2_28
| ~ spl2_116
| spl2_196
| spl2_85
| ~ spl2_95
| spl2_14
| ~ spl2_19
| ~ spl2_8 ),
inference(rat,[],[s4210,s1815,s3424,s4215,s3267,s482,s1816,s4151,s687,s3974,s4033,s4216,s314,s3114,s4214,s1657,s2568,s3847,s589,s681,s1625,s4057,s1808,s4016]) ).
cnf(s4218,plain,
( ~ spl2_108
| ~ spl2_95
| spl2_14
| ~ spl2_19 ),
inference(rat,[],[s3114,s4216,s1457,s589,s681,s1625,s4016]) ).
cnf(s4219,plain,
( ~ spl2_116
| ~ spl2_91
| spl2_196
| spl2_85
| ~ spl2_95
| spl2_14
| ~ spl2_19
| ~ spl2_8 ),
inference(rat,[],[s3974,s3114,s4151,s1891,s1816,s3111,s4171,s4138,s4163,s4217,s4057,s907,s4033,s4218,s4016,s1808]) ).
cnf(s4220,plain,
( ~ spl2_95
| ~ spl2_223
| ~ spl2_22
| spl2_142
| spl2_14
| ~ spl2_19
| ~ spl2_8
| spl2_47 ),
inference(rat,[],[s1816,s492,s3859,s1197,s1658,s3845,s3938,s4219,s4056,s4208,s4207,s4057,s589,s1336,s681,s1625,s3847,s1808]) ).
cnf(s4221,plain,
( ~ spl2_85
| ~ spl2_116
| ~ spl2_196
| spl2_95
| spl2_279
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4189,s3267,s3654,s4138,s4033,s3111,s3549,s1596,s729,s3942,s4192,s4191,s3142,s1746,s2175,s4056,s4203,s598,s3420,s3672,s3847,s38,s1625,s1689,s2757,s1712,s4054,s1766,s3266,s4144,s4016]) ).
cnf(s4222,plain,
( ~ spl2_116
| ~ spl2_196
| ~ spl2_20
| spl2_95
| spl2_279
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1601,s4203,s3397,s4056,s2155,s4057,s4221]) ).
cnf(s4223,plain,
( ~ spl2_100
| spl2_201
| spl2_139
| ~ spl2_124
| ~ spl2_19 ),
inference(rat,[],[s492,s1816,s589,s370,s598,s1808]) ).
cnf(s4224,plain,
( ~ spl2_196
| spl2_142
| spl2_279
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1601,s4205,s3397,s4056,s2155,s4057,s3672,s4223,s2653,s4033,s4195,s3859,s1658,s3845,s1019,s3938,s4222,s4054,s1766,s3847,s4206,s4220,s514,s4041,s4144,s38,s1625,s3266,s1655]) ).
cnf(s4225,plain,
( ~ spl2_85
| ~ spl2_116
| spl2_196
| spl2_95
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3427,s3267,s756,s4138,s3111,s4179,s1140,s2653,s4073,s17,s1813,s3549,s1168,s792,s726,s729,s3942,s3109,s1712,s2960,s4054,s881,s1770,s4178,s3833,s4174,s2104,s4172,s3397,s3113,s598,s3420,s3672,s3266,s3847,s38,s1625,s4041,s4144,s4016,s1808]) ).
cnf(s4226,plain,
( ~ spl2_116
| spl2_196
| ~ spl2_20
| spl2_95
| ~ spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4174,s4176,s3966,s3281,s4172,s3397,s4056,s2155,s4057,s4225,s3266,s38,s1625,s4041,s4144]) ).
cnf(s4227,plain,
( ~ spl2_19
| spl2_9
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s591,s3672,s2155,s4223,s4056,s3859,s4173,s1658,s3845,s3938,s4226,s4224,s4206,s4220,s514,s4041,s4144,s349,s789,s1806,s3847,s38,s1625,s1655,s3266]) ).
cnf(s4228,plain,
( ~ spl2_84
| ~ spl2_220
| spl2_201
| ~ spl2_100
| ~ spl2_85
| ~ spl2_116
| ~ spl2_196
| spl2_95
| ~ spl2_18
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4073,s1716,s756,s3346,s2653,s489,s461,s3114,s3023,s1816,s3945,s994,s3642,s4138,s3111,s4199,s589,s1475,s1689,s2130,s1022,s17,s793,s1815,s3423,s1601,s605,s3431,s2552,s1712,s4054,s1766,s3266,s1761,s2757,s3397,s4016,s1808]) ).
cnf(s4229,plain,
( ~ spl2_220
| spl2_201
| spl2_14
| ~ spl2_85
| ~ spl2_116
| ~ spl2_196
| spl2_95
| ~ spl2_18
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3121,s3346,s729,s3057,s3549,s4033,s4228,s1601,s1475,s3397,s1689,s2757,s3431,s2552,s3672]) ).
cnf(s4231,plain,
( ~ spl2_78
| spl2_219
| spl2_103
| spl2_96
| ~ spl2_201
| spl2_14
| spl2_200
| ~ spl2_85
| spl2_95
| ~ spl2_13
| spl2_7 ),
inference(rat,[],[s4179,s1048,s3886,s3549,s729,s3942,s3121,s3346,s3051,s1428]) ).
cnf(s4232,plain,
( spl2_219
| spl2_103
| spl2_96
| ~ spl2_201
| spl2_14
| ~ spl2_85
| ~ spl2_116
| spl2_95
| ~ spl2_13
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3121,s3346,s729,s3057,s3549,s4033,s4138,s3111,s4231,s3431,s2552,s3267,s3266,s4016]) ).
cnf(s4234,plain,
( spl2_219
| spl2_201
| spl2_14
| ~ spl2_85
| ~ spl2_116
| spl2_35
| ~ spl2_196
| spl2_95
| ~ spl2_13
| ~ spl2_18
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3366,s678,s2754,s3905,s1247,s489,s4033,s3886,s3111,s3112,s3549,s1596,s40,s2280,s729,s3942,s20,s3944,s4191,s538,s4192,s3431,s2552,s605,s1746,s3142,s2175,s4056,s1712,s4054,s1766,s3266,s1761,s4229,s1689,s2757,s1428,s4016]) ).
cnf(s4235,plain,
( ~ spl2_192
| ~ spl2_22
| ~ spl2_196
| ~ spl2_12
| spl2_7 ),
inference(rat,[],[s1716,s3346,s734,s1517]) ).
cnf(s4236,plain,
( ~ spl2_73
| ~ spl2_412
| spl2_14
| ~ spl2_85
| ~ spl2_13 ),
inference(rat,[],[s3886,s3549,s2593,s729,s1428]) ).
cnf(s4237,plain,
( ~ spl2_176
| ~ spl2_404
| ~ spl2_74
| ~ spl2_72
| spl2_103
| ~ spl2_412 ),
inference(rat,[],[s446,s3983,s3158,s1461,s3628,s2623,s1428]) ).
cnf(s4238,plain,
( ~ spl2_78
| ~ spl2_290
| spl2_176
| spl2_120
| ~ spl2_236
| ~ spl2_111
| spl2_103
| spl2_96
| ~ spl2_412
| spl2_220
| spl2_201
| spl2_200
| ~ spl2_85
| ~ spl2_12 ),
inference(rat,[],[s3955,s3128,s4010,s437,s3945,s3424,s440,s2527,s2130,s1815,s3851,s4035,s1243,s752,s1808]) ).
cnf(s4239,plain,
( spl2_201
| spl2_14
| ~ spl2_85
| ~ spl2_116
| ~ spl2_196
| spl2_95
| ~ spl2_13
| ~ spl2_18
| ~ spl2_12
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4035,s3851,s2317,s1815,s1816,s2527,s3023,s2637,s3642,s3111,s4238,s1431,s2979,s4237,s2161,s20,s3833,s2023,s3683,s4073,s998,s3998,s894,s881,s3122,s3114,s3346,s461,s679,s3057,s3549,s4033,s3268,s3109,s4236,s3835,s3676,s2586,s3142,s1746,s618,s3834,s3085,s2175,s1609,s3054,s3966,s4056,s4234,s4229,s1655,s1689,s633,s1712,s4054,s1766,s3266,s4235,s4041,s1761,s2757,s589,s3431,s2552,s3672,s1808,s4016,s1428]) ).
cnf(s4240,plain,
( spl2_14
| ~ spl2_85
| ~ spl2_116
| ~ spl2_196
| spl2_95
| ~ spl2_13
| ~ spl2_18
| ~ spl2_12
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3112,s3905,s3715,s3366,s1039,s2754,s3122,s3346,s461,s679,s3057,s4033,s3268,s3109,s3834,s4236,s3054,s3966,s4232,s3142,s1746,s923,s17,s2462,s1713,s3839,s4239,s3672,s1655,s1689,s1712,s4054,s1766,s3266,s4235,s4041,s1761,s2757,s589,s3431,s2552,s4016]) ).
cnf(s4241,plain,
( ~ spl2_85
| ~ spl2_116
| ~ spl2_196
| spl2_95
| ~ spl2_13
| ~ spl2_18
| ~ spl2_12
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1816,s2901,s4181,s1331,s3943,s2394,s2031,s3835,s3114,s2104,s4055,s1175,s4056,s3580,s3346,s538,s1045,s679,s3057,s20,s3886,s40,s860,s1048,s1609,s2918,s38,s4240,s589,s3431,s2552,s1655,s633,s1766,s3266,s514,s1761,s2757,s1808,s4016,s1428]) ).
cnf(s4242,plain,
( spl2_108
| ~ spl2_220
| spl2_219
| spl2_201
| spl2_200
| ~ spl2_196
| spl2_95
| ~ spl2_18
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1716,s4073,s3346,s756,s489,s3111,s4199,s2653,s4033,s1475,s1689,s1022,s17,s793,s1815,s3423,s605,s1712,s4054,s1766,s3266,s1761,s2757,s3397,s4016,s1808]) ).
cnf(s4243,plain,
( ~ spl2_220
| spl2_219
| ~ spl2_147
| spl2_201
| ~ spl2_80
| ~ spl2_116
| ~ spl2_196
| spl2_95
| ~ spl2_18
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3039,s3112,s1168,s2280,s3942,s3121,s3346,s3057,s4242,s4035,s2317,s3835,s608,s1475,s1689,s514,s1761,s2757,s3944,s1815,s3423,s605,s3431,s2215,s4016,s1808]) ).
cnf(s4244,plain,
( spl2_219
| ~ spl2_147
| spl2_201
| ~ spl2_109
| ~ spl2_116
| spl2_35
| ~ spl2_196
| spl2_95
| ~ spl2_18
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3545,s4073,s3111,s2653,s3683,s1596,s847,s618,s770,s3942,s40,s4191,s20,s1746,s538,s2175,s3934,s2155,s4056,s4243,s2356,s3945,s2128,s1815,s3423,s1689,s1712,s4054,s3431,s2215,s4158,s1766,s3266,s4041,s1761,s2757,s605,s4016,s1808]) ).
cnf(s4245,plain,
( ~ spl2_219
| ~ spl2_109
| ~ spl2_22
| ~ spl2_196
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3934,s2155,s4056,s3397,s3834,s1601,s3054]) ).
cnf(s4246,plain,
( spl2_201
| spl2_85
| ~ spl2_116
| spl2_35
| ~ spl2_196
| spl2_95
| ~ spl2_18
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1816,s491,s4244,s605,s3431,s2215,s4158,s1766,s3266,s4245,s4057,s4041,s1761,s2757,s1808]) ).
cnf(s4247,plain,
( spl2_108
| ~ spl2_147
| spl2_96
| spl2_187
| ~ spl2_201
| spl2_219
| spl2_200
| ~ spl2_116
| ~ spl2_13
| spl2_7 ),
inference(rat,[],[s3121,s2315,s3346,s3052,s3051,s3111,s713,s4138,s1048,s4033,s3886,s4016,s1428]) ).
cnf(s4248,plain,
( ~ spl2_116
| ~ spl2_196
| spl2_95
| ~ spl2_13
| ~ spl2_18
| ~ spl2_12
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3683,s1776,s3854,s3039,s3112,s2280,s3944,s1815,s3985,s847,s770,s3942,s3121,s3346,s3057,s4247,s1816,s1746,s923,s4035,s3505,s4171,s17,s2462,s3074,s3267,s1713,s3839,s4246,s4245,s3431,s2215,s4158,s4057,s4241,s1689,s633,s4041,s514,s1712,s4054,s1766,s3266,s1761,s2757,s4016,s1808]) ).
cnf(s4249,plain,
( spl2_108
| spl2_219
| ~ spl2_85
| ~ spl2_124
| spl2_192
| ~ spl2_196
| spl2_95
| ~ spl2_13
| ~ spl2_18
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3624,s3545,s1143,s4073,s3111,s3424,s3683,s1596,s370,s3142,s770,s3942,s3672,s3676,s2175,s3109,s618,s38,s4056,s3268,s1048,s4242,s2653,s4033,s3886,s1689,s1712,s1761,s2757,s1877,s1655,s2586,s993,s3944,s1815,s3423,s605,s3839,s3074,s3431,s2552,s4054,s1766,s3266,s4016,s1428,s1808]) ).
cnf(s4250,plain,
( spl2_219
| ~ spl2_85
| ~ spl2_124
| spl2_192
| ~ spl2_196
| spl2_95
| ~ spl2_13
| ~ spl2_18
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1048,s2680,s38,s3112,s3549,s2280,s729,s3109,s2960,s881,s3346,s3057,s4249,s3944,s1815,s3423,s605,s3839,s3074,s3431,s2552,s4016,s1808]) ).
cnf(s4251,plain,
( ~ spl2_85
| ~ spl2_124
| spl2_192
| ~ spl2_196
| spl2_95
| ~ spl2_13
| ~ spl2_18
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3215,s3023,s3112,s3114,s3346,s767,s461,s3057,s4033,s3268,s1816,s3109,s370,s4236,s3845,s3672,s38,s3834,s1609,s3054,s3966,s4250,s589,s3431,s2552,s4016,s1808]) ).
cnf(s4252,plain,
( ~ spl2_91
| spl2_194
| ~ spl2_109
| ~ spl2_22 ),
inference(rat,[],[s2155,s3934]) ).
cnf(s4253,plain,
( ~ spl2_196
| spl2_95
| ~ spl2_13
| ~ spl2_18
| ~ spl2_12
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s756,s761,s4073,s3111,s1168,s1596,s3942,s3121,s4035,s3346,s2317,s3057,s3835,s4242,s608,s1475,s3397,s4056,s4252,s993,s3944,s1815,s1816,s3423,s491,s3431,s2215,s4245,s4158,s4057,s4251,s605,s3839,s3074,s568,s4248,s4235,s4041,s1761,s1766,s1689,s2757,s3266,s4016,s1808]) ).
cnf(s4254,plain,
( spl2_108
| ~ spl2_134
| spl2_201
| spl2_225
| ~ spl2_257
| spl2_200
| ~ spl2_85
| ~ spl2_116
| spl2_196
| ~ spl2_13
| ~ spl2_18
| ~ spl2_8 ),
inference(rat,[],[s756,s2653,s4073,s4054,s2394,s3706,s3835,s3114,s4136,s2568,s3023,s2102,s1816,s3998,s3945,s3181,s678,s994,s2970,s489,s4138,s3642,s3111,s2134,s4033,s3886,s907,s589,s605,s2918,s3969,s1723,s1191,s2130,s4016,s1808,s1428]) ).
cnf(s4255,plain,
( spl2_201
| ~ spl2_257
| spl2_219
| ~ spl2_85
| ~ spl2_116
| spl2_196
| ~ spl2_13
| spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3121,s729,s3346,s3549,s3057,s4254,s1745,s1140,s1768,s2088,s3542,s38,s2918,s1723,s1191,s1815,s3423,s605,s3266,s8,s653,s2104,s3113,s3431,s2552,s1428,s1808,s4016]) ).
cnf(s4256,plain,
( spl2_108
| spl2_219
| ~ spl2_85
| ~ spl2_116
| spl2_95
| ~ spl2_13
| spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4232,s1140,s1470,s1768,s3346,s2088,s3051,s3542,s3111,s38,s4138,s1048,s4033,s3886,s653,s3267,s4255,s3397,s3113,s3431,s2552,s4253,s8,s24,s3266,s4016,s1428]) ).
cnf(s4257,plain,
( spl2_219
| ~ spl2_85
| ~ spl2_116
| spl2_95
| ~ spl2_13
| spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1048,s38,s1813,s3549,s726,s729,s3121,s1470,s3346,s3057,s4256,s4255,s3397,s3113,s4253,s8,s24,s3431,s2552,s1808,s4016]) ).
cnf(s4258,plain,
( ~ spl2_220
| spl2_398
| spl2_201
| ~ spl2_412
| spl2_200
| spl2_196 ),
inference(rat,[],[s3969,s4209,s2230,s1659,s2568,s3281,s589,s1428,s4016]) ).
cnf(s4259,plain,
( spl2_108
| spl2_201
| ~ spl2_72
| ~ spl2_100
| spl2_194
| spl2_29
| ~ spl2_412
| spl2_200
| ~ spl2_116
| spl2_196
| ~ spl2_13
| ~ spl2_18
| ~ spl2_12 ),
inference(rat,[],[s2568,s2102,s604,s2025,s555,s4056,s4258,s2134,s3998,s3111,s678,s1351,s1517,s3268,s4033,s3886,s907,s589,s3262,s4016,s1428]) ).
cnf(s4260,plain,
( ~ spl2_398
| ~ spl2_130
| ~ spl2_74
| spl2_201
| ~ spl2_219
| ~ spl2_202 ),
inference(rat,[],[s3642,s3023,s3111,s1816,s2134,s3019,s4016,s1808]) ).
cnf(s4261,plain,
( spl2_201
| ~ spl2_72
| ~ spl2_100
| spl2_194
| ~ spl2_412
| ~ spl2_219
| spl2_200
| ~ spl2_116
| spl2_196
| ~ spl2_13
| ~ spl2_18
| ~ spl2_12
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s647,s3542,s2025,s555,s4056,s4258,s4260,s1175,s3114,s3346,s461,s3057,s4259,s907,s589,s38,s1609,s3262,s4016]) ).
cnf(s4262,plain,
( ~ spl2_84
| spl2_187
| ~ spl2_201
| ~ spl2_72
| spl2_194
| ~ spl2_116
| ~ spl2_12
| spl2_7 ),
inference(rat,[],[s3051,s3346,s3111,s1517,s4138,s3268,s4016]) ).
cnf(s4263,plain,
( ~ spl2_220
| ~ spl2_147
| ~ spl2_252
| spl2_14
| ~ spl2_412
| spl2_200
| ~ spl2_85
| spl2_196 ),
inference(rat,[],[s2317,s923,s3835,s4041,s2568,s3542,s3281,s2104,s653,s4016]) ).
cnf(s4264,plain,
( ~ spl2_85
| ~ spl2_116
| spl2_95
| ~ spl2_13
| spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s647,s3542,s2025,s555,s4056,s4263,s1816,s3023,s3215,s3905,s3112,s3715,s3366,s1039,s2754,s1175,s3114,s3346,s461,s679,s3057,s4033,s4262,s3267,s4261,s3262,s3109,s4236,s3672,s38,s3834,s1609,s3054,s3966,s4257,s589,s3431,s2552,s1655,s3266,s907,s4253,s8,s24,s1808,s4016]) ).
cnf(s4265,plain,
( ~ spl2_130
| ~ spl2_392
| ~ spl2_398
| ~ spl2_117
| ~ spl2_257
| ~ spl2_134 ),
inference(rat,[],[s756,s761,s4073,s3111,s2023,s2134,s4016]) ).
cnf(s4266,plain,
( spl2_200
| ~ spl2_134
| spl2_201
| spl2_219
| spl2_85
| spl2_196
| spl2_95
| spl2_19 ),
inference(rat,[],[s2280,s3109,s3112,s3186,s3924,s265,s4265,s3833,s3969,s3447,s4035,s1659,s1723,s2317,s1191,s2128,s3835,s608,s3397,s4055,s1816,s3113,s490,s491,s24,s8,s907,s861,s605,s3944,s4016,s1428,s1808]) ).
cnf(s4267,plain,
( ~ spl2_72
| ~ spl2_84
| spl2_194
| ~ spl2_109 ),
inference(rat,[],[s3268,s1875]) ).
cnf(s4268,plain,
( ~ spl2_257
| ~ spl2_94
| ~ spl2_73
| spl2_201
| spl2_219
| ~ spl2_109
| ~ spl2_116
| ~ spl2_24
| ~ spl2_8 ),
inference(rat,[],[s3178,s4155,s726]) ).
cnf(s4269,plain,
( spl2_108
| spl2_194
| ~ spl2_200
| ~ spl2_134
| ~ spl2_199
| ~ spl2_109
| spl2_95
| ~ spl2_18
| spl2_7 ),
inference(rat,[],[s489,s3111,s3346,s1596,s2169,s3942,s3109,s4267,s4033,s4016]) ).
cnf(s4270,plain,
( ~ spl2_72
| ~ spl2_111
| ~ spl2_139
| ~ spl2_205
| spl2_105
| ~ spl2_200
| ~ spl2_134
| ~ spl2_199
| spl2_219
| spl2_85
| ~ spl2_24
| ~ spl2_12
| ~ spl2_16 ),
inference(rat,[],[s848,s2128,s3567,s3969,s3114,s2134,s4041,s3943,s3366,s3111,s579,s952,s2754,s3218,s2402,s265,s3185,s3186,s4057,s861,s4016]) ).
cnf(s4271,plain,
( ~ spl2_257
| ~ spl2_205
| ~ spl2_108
| ~ spl2_200
| spl2_201
| spl2_219
| spl2_85
| ~ spl2_116
| spl2_196
| spl2_95
| ~ spl2_12
| ~ spl2_8
| ~ spl2_16 ),
inference(rat,[],[s4268,s3942,s3109,s4270,s3549,s38,s2918,s1723,s1191,s907,s1815,s4154,s605,s4057,s679,s1655,s4016,s1428,s1808]) ).
cnf(s4272,plain,
( spl2_201
| spl2_219
| spl2_85
| ~ spl2_116
| spl2_196
| spl2_95
| spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3114,s3943,s3028,s952,s2025,s1813,s647,s3542,s38,s40,s20,s1045,s4041,s3933,s4146,s4056,s3397,s4271,s881,s3346,s679,s3057,s4269,s3154,s4266,s1815,s4154,s605,s1655,s3266,s8,s907,s2182,s24,s4057,s4016,s1808]) ).
cnf(s4273,plain,
( ~ spl2_96
| ~ spl2_201
| spl2_196 ),
inference(rat,[],[s3146,s1470,s1745]) ).
cnf(s4274,plain,
( spl2_219
| ~ spl2_116
| spl2_95
| ~ spl2_13
| spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3215,s2970,s3112,s3624,s3715,s713,s1039,s1048,s1813,s3178,s726,s3121,s3346,s679,s3057,s4247,s4273,s2318,s3397,s3113,s3431,s2470,s1816,s4171,s3267,s4272,s1655,s3266,s907,s4253,s8,s24,s4057,s4264,s4016,s1808]) ).
cnf(s4275,plain,
( spl2_108
| spl2_194
| ~ spl2_412
| ~ spl2_109
| ~ spl2_13 ),
inference(rat,[],[s3109,s4267,s2593,s4033,s3886,s4016,s1428]) ).
cnf(s4276,plain,
( spl2_200
| spl2_201
| spl2_198
| ~ spl2_108
| spl2_14
| ~ spl2_412
| ~ spl2_219
| spl2_85
| spl2_196
| ~ spl2_18 ),
inference(rat,[],[s3109,s3262,s2593,s2025,s1813,s647,s3542,s555,s4056,s4258,s3019,s1816,s491,s589,s907,s605,s4016,s1808]) ).
cnf(s4278,plain,
( ~ spl2_130
| spl2_193
| ~ spl2_200
| spl2_105
| ~ spl2_109
| ~ spl2_16 ),
inference(rat,[],[s3114,s3567,s3943,s3366,s952,s2754,s4016]) ).
cnf(s4279,plain,
( ~ spl2_132
| spl2_194
| ~ spl2_109
| ~ spl2_116 ),
inference(rat,[],[s1546,s3985]) ).
cnf(s4280,plain,
( spl2_201
| ~ spl2_134
| spl2_198
| ~ spl2_108
| spl2_14
| spl2_194
| ~ spl2_219
| spl2_85
| spl2_20
| spl2_196
| spl2_95
| ~ spl2_18
| spl2_47 ),
inference(rat,[],[s3676,s3835,s1870,s3233,s4073,s2176,s579,s2052,s4041,s3109,s3934,s3942,s4056,s1596,s3397,s3111,s1191,s2637,s1723,s4276,s3549,s881,s2527,s3966,s1808,s4016,s1428]) ).
cnf(s4281,plain,
( spl2_75
| spl2_193
| spl2_200
| spl2_96
| spl2_198
| spl2_105
| ~ spl2_109
| ~ spl2_16 ),
inference(rat,[],[s3366,s2754,s3567,s3123,s3114,s4016]) ).
cnf(s4282,plain,
( ~ spl2_116
| spl2_95
| ~ spl2_13
| spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s295,s3904,s356,s3111,s3998,s2282,s2600,s4281,s3945,s1816,s870,s4171,s2181,s3074,s713,s3267,s3839,s1470,s4280,s2527,s1815,s4279,s3346,s679,s3057,s4275,s38,s3834,s1609,s3054,s3966,s4274,s4057,s4264,s1655,s3266,s2182,s4253,s8,s24,s4016,s1808]) ).
cnf(s4283,plain,
( spl2_108
| ~ spl2_148
| ~ spl2_22
| ~ spl2_398
| spl2_194
| spl2_246
| spl2_225
| ~ spl2_257
| spl2_200
| spl2_201
| spl2_196
| ~ spl2_13
| ~ spl2_18 ),
inference(rat,[],[s2394,s734,s3835,s3268,s2568,s3109,s2102,s726,s3998,s3114,s3181,s678,s3023,s2970,s489,s3642,s3111,s2134,s4033,s3886,s907,s605,s589,s2918,s1723,s4016,s1808,s1428]) ).
cnf(s4284,plain,
( spl2_219
| ~ spl2_85
| spl2_95
| ~ spl2_13
| spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3121,s729,s3346,s3549,s3057,s4283,s1745,s1140,s1768,s1816,s2088,s4041,s370,s3542,s3672,s38,s3969,s2918,s993,s1723,s3944,s1191,s1815,s2104,s653,s3397,s3423,s3113,s4253,s8,s24,s1877,s1655,s605,s3839,s3074,s568,s4282,s3431,s2552,s1808,s1428,s4016]) ).
cnf(s4285,plain,
( spl2_108
| ~ spl2_398
| ~ spl2_72
| spl2_194
| ~ spl2_219
| ~ spl2_202
| spl2_201
| ~ spl2_13
| ~ spl2_12 ),
inference(rat,[],[s3998,s678,s2600,s1517,s3114,s3268,s4260,s4033,s3886,s1609,s4016,s1428]) ).
cnf(s4286,plain,
( ~ spl2_85
| spl2_95
| ~ spl2_13
| spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4260,s3123,s3114,s3346,s461,s3057,s4285,s1745,s1132,s2900,s3307,s1815,s3969,s2527,s492,s1816,s3109,s370,s4236,s3672,s38,s3834,s1609,s3054,s3966,s4284,s589,s3431,s2552,s24,s1877,s1655,s3839,s3074,s568,s4282,s4016,s1808]) ).
cnf(s4287,plain,
( spl2_200
| spl2_219
| spl2_85
| spl2_201
| spl2_196
| spl2_95
| spl2_19 ),
inference(rat,[],[s1815,s3423,s4266,s605,s1808]) ).
cnf(s4288,plain,
( spl2_108
| spl2_194
| ~ spl2_200
| spl2_219
| spl2_85
| ~ spl2_199
| spl2_95
| ~ spl2_13
| ~ spl2_18
| ~ spl2_12
| spl2_7 ),
inference(rat,[],[s3998,s2358,s2917,s3112,s3111,s2340,s489,s881,s3346,s2169,s3382,s3400,s3109,s1815,s4267,s4269,s4033,s3886,s4057,s861,s4016,s1808,s1428]) ).
cnf(s4289,plain,
( ~ spl2_72
| ~ spl2_205
| ~ spl2_108
| spl2_219
| spl2_85
| ~ spl2_199
| ~ spl2_124
| ~ spl2_12
| ~ spl2_16 ),
inference(rat,[],[s3549,s752,s38,s3111,s1048,s3218,s265,s3185,s3186,s861,s4016]) ).
cnf(s4290,plain,
( ~ spl2_257
| ~ spl2_134
| ~ spl2_210
| ~ spl2_73
| ~ spl2_24 ),
inference(rat,[],[s3178,s2970,s726,s1191]) ).
cnf(s4291,plain,
( ~ spl2_130
| ~ spl2_73
| spl2_198
| ~ spl2_108
| ~ spl2_200
| spl2_219
| ~ spl2_199
| ~ spl2_124
| spl2_20
| spl2_196
| spl2_95
| ~ spl2_8
| ~ spl2_16 ),
inference(rat,[],[s3542,s647,s4041,s2025,s4146,s4056,s3397,s4290,s1815,s3400,s2340,s3215,s3112,s3028,s767,s3114,s3845,s3943,s38,s952,s1048,s907,s679,s1655,s881,s1808,s4016]) ).
cnf(s4292,plain,
( spl2_219
| spl2_95
| ~ spl2_13
| spl2_19
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s38,s2918,s3845,s1723,s767,s1250,s3112,s3623,s2680,s1813,s4291,s3109,s4289,s881,s3346,s679,s3057,s4288,s3154,s4287,s1655,s3266,s2182,s4253,s8,s24,s605,s3839,s3074,s568,s4282,s4286,s1428,s4016,s1808]) ).
cnf(s4293,plain,
( ~ spl2_220
| ~ spl2_290
| ~ spl2_193
| ~ spl2_414
| ~ spl2_200
| spl2_142
| ~ spl2_128
| ~ spl2_412
| spl2_201
| spl2_196 ),
inference(rat,[],[s3229,s3835,s848,s4041,s578,s1659,s2676,s3281,s1428]) ).
cnf(s4294,plain,
( spl2_95
| ~ spl2_13
| spl2_9
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3542,s647,s4041,s2025,s3934,s4056,s4293,s1431,s827,s832,s1814,s2635,s4237,s1132,s266,s3028,s3186,s3114,s3109,s3943,s2593,s4278,s3998,s952,s1815,s3431,s3218,s2680,s4280,s4276,s881,s3111,s3112,s349,s789,s3346,s752,s767,s786,s679,s3057,s3549,s3845,s4275,s38,s3834,s1609,s3054,s3966,s4292,s4057,s4286,s605,s3839,s3074,s568,s4282,s2182,s907,s4253,s1655,s24,s8,s4227,s1428,s1808,s4016]) ).
cnf(s4295,plain,
( spl2_200
| ~ spl2_199
| spl2_219
| spl2_85
| ~ spl2_95
| ~ spl2_18 ),
inference(rat,[],[s1196,s1815,s1816,s3423,s491,s1808]) ).
cnf(s4296,plain,
( ~ spl2_200
| ~ spl2_129
| ~ spl2_95
| ~ spl2_13
| ~ spl2_12
| ~ spl2_8 ),
inference(rat,[],[s3114,s1457,s447,s3886,s1048,s1331,s681,s3154,s4016,s1428]) ).
cnf(s4297,plain,
( spl2_219
| ~ spl2_95
| ~ spl2_13
| ~ spl2_18
| ~ spl2_12
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4281,s1470,s3346,s679,s3057,s3974,s3114,s1456,s3109,s3186,s4151,s1816,s568,s3568,s3074,s3267,s3839,s605,s4295,s870,s4296,s861,s3266,s4057,s1336,s1655,s4016,s1808]) ).
cnf(s4298,plain,
( ~ spl2_199
| spl2_200
| ~ spl2_95
| ~ spl2_18
| ~ spl2_16 ),
inference(rat,[],[s3974,s679,s3114,s3366,s1456,s2754,s3109,s3924,s3905,s3186,s1518,s1546,s4151,s1815,s568,s3112,s1196,s1197,s1885,s1816,s491,s4057,s1336,s1655,s589,s4016,s1808]) ).
cnf(s4299,plain,
( spl2_9
| spl2_7
| spl2_6
| ~ spl2_16 ),
inference(rat,[],[s4281,s1470,s3346,s679,s3057,s3974,s3114,s1456,s3109,s3186,s4151,s1816,s568,s3568,s3074,s3267,s3839,s605,s4298,s870,s681,s1609,s4297,s4057,s1336,s4294,s5,s8,s24,s4227,s1655,s3266,s4016,s1808]) ).
cnf(s4300,plain,
~ spl2_9,
inference(rat,[],[s3661,s1127,s1449]) ).
cnf(s4301,plain,
( ~ spl2_196
| ~ spl2_72
| ~ spl2_390
| spl2_108
| spl2_201
| spl2_219
| spl2_200
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3236,s2653,s4073,s4054,s1716,s4242,s1766,s3266,s8,s4227,s4300]) ).
cnf(s4302,plain,
( ~ spl2_116
| ~ spl2_210
| ~ spl2_79
| ~ spl2_139
| ~ spl2_220
| spl2_196
| ~ spl2_72
| spl2_108
| ~ spl2_134
| spl2_200
| ~ spl2_85
| spl2_95 ),
inference(rat,[],[s4035,s723,s2539,s3824,s3833,s4055,s2568,s3835,s2394,s4073,s756,s3114,s2653,s3023,s4054,s1816,s680,s3945,s3834,s994,s3268,s4138,s1351,s589,s2130,s4033,s2104,s1191,s3397,s4016,s1808]) ).
cnf(s4303,plain,
( ~ spl2_72
| spl2_14
| ~ spl2_198
| spl2_108
| spl2_201
| spl2_219
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s4035,s723,s2539,s3824,s3833,s4055,s2568,s3835,s2394,s3114,s3023,s734,s1816,s3268,s370,s993,s568,s4302,s3642,s4041,s3111,s1723,s3542,s4177,s1191,s2104,s653,s3397,s3113,s4301,s589,s3944,s1815,s3423,s605,s3431,s2552,s4033,s3346,s3672,s4016,s1808,s1428]) ).
cnf(s4304,plain,
( ~ spl2_196
| ~ spl2_79
| ~ spl2_390
| spl2_108
| spl2_201
| spl2_219
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s4189,s1873,s3142,s3929,s20,s3545,s2175,s4235,s538,s2653,s1712,s4041,s4073,s4056,s633,s4054,s1761,s1716,s4242,s1766,s1689,s2757,s3266,s24,s8,s4227,s1815,s3423,s605,s3431,s2552,s4033,s1808,s4300]) ).
cnf(s4305,plain,
( ~ spl2_73
| ~ spl2_390
| spl2_108
| spl2_201
| spl2_219
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3397,s4290,s3113,s907,s4304,s3642,s3111,s1596,s3942,s1815,s3423,s605,s3431,s2552,s4016,s1808]) ).
cnf(s4306,plain,
( ~ spl2_198
| spl2_108
| spl2_201
| spl2_219
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s1723,s1191,s2918,s3397,s38,s3113,s4303,s4301,s3109,s4305,s3346,s1815,s3423,s605,s3431,s2552,s1428,s4016,s1808]) ).
cnf(s4307,plain,
( spl2_108
| spl2_201
| spl2_219
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3942,s1596,s3109,s3111,s2960,s489,s881,s4306,s8,s4227,s1815,s3423,s605,s3431,s2552,s4016,s1808,s4300]) ).
cnf(s4308,plain,
( spl2_201
| spl2_219
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s1048,s2680,s38,s3112,s3549,s2280,s729,s3109,s2960,s881,s3346,s3057,s4307,s3944,s1815,s3423,s605,s3431,s2552,s4016,s1808]) ).
cnf(s4311,plain,
( ~ spl2_176
| ~ spl2_392
| ~ spl2_398
| spl2_142
| ~ spl2_117
| spl2_246
| spl2_96 ),
inference(rat,[],[s1988,s2287,s3128,s419,s3320,s2533]) ).
cnf(s4312,plain,
( ~ spl2_196
| spl2_108
| spl2_219
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s2880,s3124,s1811,s3894,s3947,s2496,s432,s4202,s4311,s3833,s13,s2773,s4055,s3824,s3969,s2918,s723,s4201,s1816,s3943,s2315,s1812,s3123,s356,s3052,s1039,s2237,s2786,s2917,s349,s3112,s788,s750,s726,s3834,s2104,s3397,s3985,s3851,s923,s3505,s4041,s4035,s4054,s1701,s1761,s2462,s1766,s2757,s4299,s24,s4227,s589,s861,s1815,s1596,s3942,s3121,s1470,s3346,s3051,s3431,s2552,s3111,s4138,s4033,s3267,s3266,s568,s3074,s3839,s4308,s1808,s4300,s4016]) ).
cnf(s4313,plain,
( spl2_108
| spl2_219
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s1768,s2088,s1140,s3542,s4179,s38,s40,s1813,s2176,s726,s1168,s653,s3397,s3113,s4312,s3942,s3121,s1470,s3346,s3051,s3111,s4138,s4033,s4227,s3431,s2552,s3267,s3266,s568,s3074,s3839,s4308,s1808,s4016,s4300]) ).
cnf(s4314,plain,
( spl2_219
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s4192,s3113,s1168,s1596,s313,s3543,s3111,s3112,s2386,s3904,s1586,s1045,s2857,s295,s1816,s3943,s20,s356,s2901,s1612,s40,s1048,s2918,s38,s1331,s3549,s847,s729,s3942,s3121,s1470,s3346,s679,s3057,s4313,s3074,s3839,s4308,s861,s1655,s24,s4227,s589,s3431,s2552,s4016,s1808,s4300]) ).
cnf(s4315,plain,
( ~ spl2_196
| ~ spl2_252
| ~ spl2_386
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4124,s923,s1761,s2462,s2757]) ).
cnf(s4316,plain,
( ~ spl2_84
| spl2_198
| ~ spl2_201
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s4035,s2539,s1871,s3260,s3833,s3676,s660,s2568,s604,s555,s4056,s3397,s2081,s726,s1813,s907,s4315,s3985,s1815,s1816,s1596,s2315,s2593,s3942,s3052,s3109,s3111,s4262,s4138,s24,s8,s4227,s589,s3431,s2552,s3966,s3834,s3054,s3672,s38,s3267,s3266,s713,s1609,s4314,s568,s3074,s3839,s4016,s1808,s4300]) ).
cnf(s4317,plain,
( spl2_198
| ~ spl2_201
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3542,s647,s555,s2025,s4056,s4263,s907,s1816,s4315,s3023,s3905,s3215,s3112,s3715,s3366,s1039,s2754,s3028,s3123,s3114,s461,s679,s4033,s4316,s1470,s1655,s8,s4227,s589,s3431,s2552,s3966,s3672,s38,s1609,s4314,s568,s3074,s3839,s1808,s4016,s4300]) ).
cnf(s4318,plain,
( ~ spl2_201
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s4138,s3111,s4033,s3051,s3057,s3346,s4317,s568,s3074,s3267,s3839,s3266,s4016]) ).
cnf(s4319,plain,
( ~ spl2_176
| ~ spl2_398
| ~ spl2_148
| ~ spl2_132
| ~ spl2_412 ),
inference(rat,[],[s2903,s2297,s3128,s1461,s3320,s2623,s1745,s1132,s2900,s3307,s1428]) ).
cnf(s4320,plain,
( spl2_108
| spl2_198
| spl2_201
| spl2_194
| ~ spl2_412
| ~ spl2_202
| spl2_19
| spl2_95 ),
inference(rat,[],[s1811,s2880,s3947,s3124,s432,s2905,s4319,s1745,s1132,s2900,s3969,s3307,s492,s1816,s1586,s2237,s2786,s3943,s1498,s1518,s3112,s3114,s1815,s2680,s1175,s356,s1596,s2593,s3942,s3109,s3111,s3268,s489,s4033,s8,s605,s1517,s24,s1808,s4016]) ).
cnf(s4321,plain,
( ~ spl2_196
| spl2_198
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s1939,s3124,s3969,s1352,s2637,s2984,s3111,s3991,s4238,s1811,s2161,s3524,s20,s419,s630,s3833,s930,s932,s2023,s3683,s1431,s4073,s2979,s998,s3835,s4237,s1745,s3085,s3676,s1382,s4056,s2586,s4041,s3623,s3397,s4054,s1761,s876,s618,s1601,s1766,s2757,s3266,s605,s349,s784,s894,s881,s3268,s3109,s729,s3549,s1517,s24,s3998,s679,s1655,s4260,s1175,s3114,s461,s4320,s4318,s3834,s3054,s3966,s589,s3431,s2552,s4227,s3672,s38,s1609,s4314,s4016,s1808,s1428,s4300]) ).
cnf(s4322,plain,
( spl2_198
| ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3542,s647,s555,s2025,s4056,s4258,s907,s4321,s4260,s3028,s1175,s3114,s461,s4320,s8,s4227,s589,s3431,s2552,s3966,s3834,s3054,s3672,s38,s1609,s4314,s4318,s4016,s4300]) ).
cnf(s4323,plain,
( ~ spl2_196
| ~ spl2_192
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4124,s1761,s4235,s2757,s24,s4227,s4300]) ).
cnf(s4324,plain,
( ~ spl2_220
| spl2_130
| spl2_196
| ~ spl2_192
| spl2_201
| spl2_14
| ~ spl2_412
| ~ spl2_219
| spl2_200
| ~ spl2_85 ),
inference(rat,[],[s3114,s3413,s2394,s1204,s734,s3835,s1816,s4041,s2568,s3019,s3542,s3281,s4258,s2104,s653,s589,s605,s4016,s1808]) ).
cnf(s4325,plain,
( spl2_121
| ~ spl2_106
| ~ spl2_401
| spl2_130
| spl2_103
| ~ spl2_24
| spl2_201
| ~ spl2_412
| spl2_200 ),
inference(rat,[],[s3424,s1586,s2527,s3112,s1815,s3924,s1871,s3447,s4035,s605,s4016,s1808]) ).
cnf(s4326,plain,
( spl2_130
| spl2_103
| spl2_196
| ~ spl2_192
| ~ spl2_72
| spl2_105
| spl2_201
| spl2_14
| ~ spl2_412
| ~ spl2_219
| spl2_200
| ~ spl2_85
| spl2_19
| spl2_47 ),
inference(rat,[],[s3904,s3111,s295,s3845,s1243,s2539,s578,s4325,s3683,s3943,s4073,s3114,s1870,s3413,s3833,s3676,s660,s2568,s604,s2052,s555,s4056,s4324,s356,s24,s8,s589,s3672,s907,s4016]) ).
cnf(s4327,plain,
( ~ spl2_85
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s2568,s604,s2102,s555,s2025,s4056,s4258,s4260,s3114,s2600,s3998,s4326,s3146,s907,s4323,s3268,s3262,s3109,s4033,s3942,s3057,s678,s2630,s3346,s4322,s4318,s3672,s38,s3834,s1609,s3054,s3966,s4314,s589,s3431,s2552,s1655,s8,s4227,s4016,s4300]) ).
cnf(s4328,plain,
( spl2_108
| spl2_126
| ~ spl2_73
| ~ spl2_116
| spl2_187
| ~ spl2_201
| ~ spl2_12 ),
inference(rat,[],[s295,s3892,s356,s3112,s1048,s2918,s2237,s713,s3052,s3111,s4138,s4033,s4016]) ).
cnf(s4329,plain,
( ~ spl2_196
| ~ spl2_77
| spl2_194
| ~ spl2_94
| ~ spl2_386
| ~ spl2_109
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s1168,s4056,s3039,s4252,s514,s4041,s4035,s1761,s2462,s2757,s568,s3074]) ).
cnf(s4330,plain,
( spl2_198
| spl2_219
| ~ spl2_201
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3397,s4290,s3113,s907,s4329,s3215,s3112,s1586,s1815,s3943,s4279,s4281,s847,s679,s4328,s2315,s3942,s3121,s1470,s1655,s870,s3431,s2470,s1816,s4171,s568,s3074,s3839,s4057,s4327,s3267,s3266,s24,s4227,s4016,s1808,s4300]) ).
cnf(s4331,plain,
( ~ spl2_390
| ~ spl2_116
| spl2_187
| ~ spl2_201
| ~ spl2_16 ),
inference(rat,[],[s4138,s3111,s4033,s3051,s3057,s4016]) ).
cnf(s4332,plain,
( ~ spl2_84
| ~ spl2_134
| spl2_194
| spl2_192
| ~ spl2_116
| spl2_187
| spl2_95 ),
inference(rat,[],[s3942,s1596,s3109,s3111,s3268,s4138,s4016]) ).
cnf(s4333,plain,
( ~ spl2_201
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s295,s3904,s356,s3111,s3998,s2282,s2600,s4281,s679,s4033,s4332,s1815,s3945,s3969,s4279,s713,s3834,s3019,s1609,s3054,s4330,s1470,s1517,s3346,s4331,s870,s3431,s2470,s1816,s4171,s568,s3074,s3267,s3839,s1655,s3266,s24,s4227,s4057,s4327,s4016,s1808,s4300]) ).
cnf(s4334,plain,
( spl2_200
| ~ spl2_78
| ~ spl2_205
| spl2_219
| ~ spl2_199
| spl2_95 ),
inference(rat,[],[s3942,s1596,s3109,s1815,s2960,s3423,s4016,s1808]) ).
cnf(s4335,plain,
( ~ spl2_196
| ~ spl2_414
| ~ spl2_109
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4124,s4158,s1761,s2215,s1766,s2757,s3266]) ).
cnf(s4336,plain,
( spl2_198
| spl2_108
| spl2_219
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s4146,s4041,s3397,s578,s726,s3447,s1813,s2182,s907,s4335,s3845,s38,s2918,s2901,s1816,s3998,s2315,s2358,s2917,s3052,s3112,s1877,s2340,s568,s3400,s4154,s3382,s3109,s1815,s4267,s4269,s1331,s3154,s3431,s4334,s3111,s489,s881,s1655,s3266,s24,s8,s4227,s4057,s4327,s605,s4333,s861,s4033,s1808,s4016,s4300]) ).
cnf(s4337,plain,
( spl2_200
| spl2_108
| spl2_219
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s993,s568,s4252,s4246,s4041,s3944,s4056,s633,s1761,s1815,s4242,s1766,s2757,s3423,s4287,s3266,s24,s8,s4227,s4057,s4327,s605,s4333,s1808,s4300]) ).
cnf(s4338,plain,
( spl2_108
| spl2_219
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3109,s4267,s2169,s3154,s4337,s3346,s4336,s4033,s3266,s4057,s4327,s4016]) ).
cnf(s4339,plain,
( spl2_200
| spl2_219
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s761,s4035,s756,s2317,s4073,s3397,s3835,s3683,s4056,s618,s770,s4252,s2918,s847,s4055,s4041,s2637,s3942,s3586,s1761,s3111,s3109,s1815,s1766,s2757,s1816,s4334,s2960,s3423,s4287,s491,s870,s3266,s24,s8,s4227,s4057,s4327,s605,s4333,s881,s3346,s3057,s4338,s4016,s1808,s4300]) ).
cnf(s4340,plain,
( spl2_219
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s2918,s38,s1723,s3845,s1250,s767,s3623,s3112,s1813,s2680,s4291,s3109,s4289,s568,s4272,s2182,s4335,s3431,s4339,s881,s3346,s679,s3057,s4338,s1655,s3266,s24,s4227,s4057,s4327,s605,s4333,s1428,s4016,s1808,s4300]) ).
cnf(s4341,plain,
( spl2_108
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3676,s3835,s1871,s3233,s4035,s1659,s578,s4041,s4252,s4056,s3397,s3845,s2081,s726,s568,s1813,s4279,s4335,s1815,s3431,s1596,s589,s3111,s4320,s489,s2630,s2593,s3942,s3109,s4267,s4033,s8,s4227,s4057,s4327,s605,s4333,s3966,s3834,s3054,s38,s1609,s4340,s1428,s1808,s4016,s4300]) ).
cnf(s4342,plain,
( ~ spl2_196
| spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s4124,s1761,s4245,s2757,s4057,s4327,s4340]) ).
cnf(s4343,plain,
( spl2_7
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3542,s4041,s647,s4252,s2025,s4056,s4293,s1431,s827,s832,s1814,s2635,s3028,s4319,s3114,s1816,s3943,s3945,s4278,s952,s3969,s3968,s2680,s3218,s2637,s3112,s3111,s767,s752,s3845,s1877,s568,s4279,s1815,s3431,s4280,s4276,s2182,s907,s4342,s349,s789,s881,s784,s3346,s3549,s679,s3057,s4341,s38,s3834,s1609,s3054,s3966,s4340,s605,s4333,s4057,s4327,s8,s24,s4227,s1655,s1428,s1808,s4016,s4300]) ).
cnf(s4344,plain,
( spl2_198
| spl2_200
| spl2_108
| ~ spl2_201
| spl2_219
| ~ spl2_12
| ~ spl2_7
| spl2_95 ),
inference(rat,[],[s4201,s1815,s1816,s3944,s1586,s2280,s3112,s3892,s3943,s1498,s295,s3123,s356,s2774,s3121,s1470,s861,s1408,s1808,s4016]) ).
cnf(s4345,plain,
( ~ spl2_73
| ~ spl2_76
| ~ spl2_75
| spl2_139
| ~ spl2_129
| spl2_95 ),
inference(rat,[],[s4201,s1816,s1815,s1586,s3944,s3943,s2280,s1498,s1808]) ).
cnf(s4346,plain,
( ~ spl2_196
| ~ spl2_14
| spl2_246
| ~ spl2_79
| ~ spl2_105
| spl2_108 ),
inference(rat,[],[s1593,s4054,s2653,s3545,s4073,s2566]) ).
cnf(s4347,plain,
( spl2_200
| spl2_108
| ~ spl2_201
| spl2_219
| ~ spl2_7
| spl2_95
| spl2_47 ),
inference(rat,[],[s607,s4346,s3672,s3186,s3835,s2356,s2317,s3945,s3856,s3561,s370,s1877,s2857,s2353,s3904,s20,s3111,s40,s2917,s678,s3943,s1586,s1816,s2901,s448,s3109,s4345,s4023,s3112,s3114,s3892,s3974,s295,s265,s356,s906,s4344,s24,s574,s861,s1408,s4016,s1808]) ).
cnf(s4348,plain,
( ~ spl2_73
| spl2_108
| spl2_139
| ~ spl2_129
| ~ spl2_12
| ~ spl2_7
| spl2_95 ),
inference(rat,[],[s4345,s3112,s3114,s3892,s3974,s295,s265,s356,s2774,s4016]) ).
cnf(s4349,plain,
( spl2_130
| ~ spl2_100
| ~ spl2_72
| spl2_108
| spl2_139
| ~ spl2_129
| ~ spl2_12 ),
inference(rat,[],[s3111,s2917,s3904,s3943,s370,s1586,s1816,s3112,s3114,s2901,s3892,s3974,s448,s295,s265,s356,s4016,s1808]) ).
cnf(s4350,plain,
( ~ spl2_85
| spl2_14
| ~ spl2_265
| ~ spl2_228
| spl2_192
| ~ spl2_72
| spl2_108
| ~ spl2_201
| ~ spl2_129
| ~ spl2_12
| ~ spl2_7 ),
inference(rat,[],[s2901,s1816,s823,s3945,s644,s1461,s994,s821,s2816,s3929,s2619,s2658,s3111,s1814,s713,s889,s937,s1048,s4349,s3672,s1408,s4033,s1808,s1428,s4016]) ).
cnf(s4351,plain,
( spl2_198
| ~ spl2_200
| spl2_108
| ~ spl2_201
| spl2_219
| ~ spl2_12
| ~ spl2_7
| spl2_95 ),
inference(rat,[],[s2884,s3919,s644,s1461,s821,s2816,s2619,s2658,s1814,s937,s265,s3186,s4350,s1624,s3834,s3268,s3185,s1517,s881,s4033,s3109,s4348,s1408,s861,s1428,s1808,s4016]) ).
cnf(s4352,plain,
( spl2_108
| ~ spl2_201
| spl2_219
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s2182,s3934,s4346,s4056,s4041,s2106,s608,s2052,s3835,s2317,s3904,s3856,s3561,s3111,s2857,s2353,s2917,s20,s3943,s40,s1586,s38,s1624,s1816,s3112,s3672,s3114,s2901,s3892,s3186,s3974,s448,s295,s4349,s265,s356,s906,s4351,s3109,s4348,s4347,s24,s574,s1655,s861,s1408,s4343,s4016,s1808]) ).
cnf(s4354,plain,
( ~ spl2_73
| ~ spl2_85
| spl2_200
| ~ spl2_201
| spl2_219
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s633,s1593,s538,s3113,s4056,s1168,s3543,s3112,s2857,s4345,s20,s3114,s40,s447,s38,s1331,s3549,s847,s729,s3942,s24,s574,s1655,s861,s1408,s356,s887,s4352,s4343,s4016]) ).
cnf(s4355,plain,
( ~ spl2_85
| spl2_200
| ~ spl2_201
| spl2_219
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s633,s538,s1593,s4056,s607,s608,s4170,s3543,s3561,s2857,s2353,s20,s40,s3112,s38,s1586,s3672,s3943,s461,s4022,s3114,s1816,s447,s2901,s448,s3109,s4354,s24,s574,s861,s1408,s679,s1655,s356,s887,s4352,s4343,s4016,s1808]) ).
cnf(s4358,plain,
( ~ spl2_36
| ~ spl2_77
| ~ spl2_94
| spl2_85
| ~ spl2_138
| spl2_139
| spl2_219
| ~ spl2_12 ),
inference(rat,[],[s1168,s4056,s3543,s3933,s2857,s1045]) ).
cnf(s4359,plain,
( spl2_200
| ~ spl2_201
| spl2_219
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3364,s2088,s22,s4097,s481,s20,s4358,s3112,s4345,s3114,s447,s1331,s847,s3942,s3109,s3186,s4355,s1408,s356,s265,s887,s4352,s24,s574,s4343,s1655,s861,s4016]) ).
cnf(s4360,plain,
( ~ spl2_14
| ~ spl2_77
| ~ spl2_75
| spl2_194
| ~ spl2_94
| ~ spl2_138
| spl2_139
| spl2_219
| ~ spl2_12
| ~ spl2_16 ),
inference(rat,[],[s2182,s1593,s3934,s633,s4041,s538,s2052,s4056,s3835,s1168,s4055,s2342,s3543,s2386,s2857,s1045,s20,s40,s38,s1655]) ).
cnf(s4361,plain,
( ~ spl2_73
| ~ spl2_201
| spl2_219
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s4252,s4041,s4097,s481,s20,s4358,s4057,s3672,s4360,s3112,s4345,s461,s3114,s447,s1331,s847,s3942,s24,s574,s1655,s861,s1408,s356,s887,s4352,s4343,s4016]) ).
cnf(s4362,plain,
( ~ spl2_201
| spl2_219
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s1593,s633,s2182,s538,s3934,s4056,s4041,s608,s2052,s3835,s2342,s3561,s2857,s2353,s20,s40,s3112,s38,s1624,s1586,s3672,s3943,s461,s3114,s1816,s447,s2901,s3186,s448,s3109,s4361,s4359,s265,s356,s679,s887,s4352,s1408,s24,s574,s4343,s1655,s861,s4016,s1808]) ).
cnf(s4363,plain,
( ~ spl2_73
| spl2_108
| spl2_219
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3542,s4139,s2443,s3580,s4055,s2749,s1045,s2773,s20,s3985,s13,s22,s1247,s2956,s3112,s3400,s38,s5,s1152,s1159,s4037,s2918,s3886,s4348,s2774,s24,s574,s4343,s1655,s861,s605,s4362,s4033,s4016,s1428]) ).
cnf(s4364,plain,
( ~ spl2_139
| ~ spl2_6
| spl2_130
| ~ spl2_72
| ~ spl2_84
| ~ spl2_199
| spl2_219
| ~ spl2_7 ),
inference(rat,[],[s3561,s2353,s2773,s20,s3985,s13,s22,s1247,s2956,s3112,s3400,s1152,s1159,s4037,s2918,s861,s4016]) ).
cnf(s4365,plain,
( spl2_130
| ~ spl2_72
| spl2_108
| spl2_201
| spl2_219
| ~ spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4346,s1723,s2356,s3945,s1877,s3904,s3111,s3561,s2917,s2353,s3943,s20,s1586,s40,s3112,s38,s1816,s3892,s3672,s2901,s295,s4349,s4364,s3114,s3186,s3974,s5,s448,s265,s3886,s356,s24,s574,s1655,s861,s605,s4033,s1428,s4016,s1808]) ).
cnf(s4366,plain,
( spl2_108
| spl2_219
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3111,s489,s889,s906,s4365,s3109,s4363,s8,s574,s4343,s1655,s605,s4362,s4016]) ).
cnf(s4367,plain,
( ~ spl2_139
| spl2_100
| spl2_194
| ~ spl2_7
| ~ spl2_16 ),
inference(rat,[],[s591,s3672,s4279,s38,s1159,s4037,s2918]) ).
cnf(s4368,plain,
( ~ spl2_73
| spl2_219
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s4252,s4041,s4097,s481,s20,s4358,s4057,s3672,s4360,s3112,s4345,s4367,s461,s3114,s447,s1331,s847,s3942,s24,s574,s1655,s861,s356,s887,s4366,s4343,s4016]) ).
cnf(s4369,plain,
( spl2_219
| spl2_95
| ~ spl2_16 ),
inference(rat,[],[s1593,s633,s2182,s538,s3934,s4056,s4041,s608,s2052,s4170,s3543,s3112,s3561,s1586,s2857,s2353,s1816,s20,s2901,s40,s2918,s1879,s38,s3672,s3943,s461,s3114,s447,s3186,s448,s3109,s4368,s265,s356,s679,s887,s4366,s861,s24,s574,s4343,s1655,s4016,s1808]) ).
cnf(s4370,plain,
( ~ spl2_73
| ~ spl2_219
| ~ spl2_7
| spl2_95 ),
inference(rat,[],[s2630,s1175,s3942,s2774,s3114,s1603,s589,s684,s4016]) ).
cnf(s4371,plain,
( ~ spl2_84
| ~ spl2_72
| ~ spl2_74
| spl2_194
| ~ spl2_12
| ~ spl2_7 ),
inference(rat,[],[s447,s906,s451,s1517,s4057,s3268,s4267,s1331]) ).
cnf(s4372,plain,
( spl2_95
| ~ spl2_16 ),
inference(rat,[],[s3824,s1059,s3828,s2166,s3586,s482,s713,s20,s4057,s605,s22,s451,s1204,s660,s447,s3413,s887,s4033,s4371,s3109,s4370,s1331,s4055,s870,s589,s1816,s3114,s3834,s624,s684,s1602,s1603,s1609,s3054,s4369,s24,s574,s4343,s1655,s4016,s1808]) ).
cnf(s4373,plain,
( ~ spl2_74
| spl2_108
| ~ spl2_129
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s4151,s1816,s568,s3568,s3074,s3267,s3839,s605,s4298,s681,s1048,s265,s3974,s687,s4057,s1336,s4372,s1655,s3266,s24,s8,s4227,s4033,s1808,s4300]) ).
cnf(s4374,plain,
( spl2_108
| spl2_219
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s3154,s2960,s4267,s881,s3109,s1455,s1456,s3114,s4373,s4033,s4057,s1336,s4372,s1655,s3266,s861,s4016]) ).
cnf(s4375,plain,
( spl2_130
| spl2_214
| ~ spl2_74
| ~ spl2_129
| ~ spl2_12
| ~ spl2_8 ),
inference(rat,[],[s3154,s1331,s589,s447,s3413]) ).
cnf(s4376,plain,
( spl2_219
| spl2_7
| ~ spl2_16 ),
inference(rat,[],[s870,s3567,s681,s3366,s1048,s2754,s4375,s894,s881,s3114,s3346,s1457,s679,s3057,s4374,s861,s4057,s1336,s4372,s1655,s3266,s24,s4227,s4016,s4300]) ).
cnf(s4377,plain,
( spl2_7
| ~ spl2_16 ),
inference(rat,[],[s679,s4328,s4281,s2315,s1456,s3109,s1470,s3186,s3346,s4151,s4331,s1816,s568,s3568,s3074,s3267,s3839,s605,s4298,s870,s681,s1609,s4376,s8,s24,s4227,s3266,s4057,s1336,s4372,s1655,s4016,s1808,s4300]) ).
cnf(s4378,plain,
( ~ spl2_73
| spl2_108
| ~ spl2_129
| ~ spl2_16 ),
inference(rat,[],[s3974,s3114,s265,s1456,s2774,s4372,s24,s574,s4377,s1655,s4016]) ).
cnf(s4379,plain,
( ~ spl2_72
| spl2_219
| ~ spl2_16 ),
inference(rat,[],[s2960,s881,s681,s906,s1048,s265,s3186,s1336,s4372,s24,s574,s4377,s1655,s861]) ).
cnf(s4380,plain,
( ~ spl2_28
| spl2_200
| spl2_219
| ~ spl2_7 ),
inference(rat,[],[s3082,s22,s4097]) ).
cnf(s4381,plain,
( spl2_200
| spl2_219
| ~ spl2_16 ),
inference(rat,[],[s3580,s4055,s579,s651,s3404,s682,s2353,s1045,s20,s4380,s3549,s2504,s3567,s870,s4057,s1336,s24,s574,s1655,s4378,s447,s3114,s1456,s4372,s2774,s3109,s4379,s4377,s861,s4016]) ).
cnf(s4382,plain,
( spl2_219
| ~ spl2_16 ),
inference(rat,[],[s3580,s4055,s579,s651,s3404,s682,s2353,s1045,s20,s3549,s40,s1624,s681,s4381,s1331,s447,s3114,s4378,s1456,s2774,s3109,s4379,s861,s4372,s24,s574,s4377,s1655,s4016]) ).
cnf(s4383,plain,
~ spl2_16,
inference(rat,[],[s3824,s2166,s1059,s20,s3828,s22,s713,s3586,s490,s605,s482,s4055,s4298,s870,s1816,s624,s684,s1602,s1609,s4382,s8,s24,s574,s4377,s4057,s1336,s4372,s1655,s1808]) ).
cnf(s4385,plain,
spl2_4,
inference(rat,[],[s850,s4383]) ).
cnf(s4388,plain,
spl2_17,
inference(rat,[],[s7,s4383]) ).
cnf(s4389,plain,
( ~ spl2_398
| ~ spl2_116
| ~ spl2_15
| spl2_198
| spl2_279
| ~ spl2_201
| ~ spl2_202
| ~ spl2_106
| ~ spl2_12
| spl2_130
| ~ spl2_94
| ~ spl2_73
| spl2_108
| spl2_7 ),
inference(rat,[],[s2903,s2297,s3128,s1461,s1815,s3318,s1575,s1816,s1596,s3970,s1814,s2315,s3111,s4202,s2635,s4328,s3929,s4187,s3654,s2924,s4033,s881,s1517,s1470,s3078,s1428,s1808,s4016,s4383,s4385]) ).
cnf(s4390,plain,
( spl2_139
| ~ spl2_75
| ~ spl2_12
| ~ spl2_138
| ~ spl2_73
| spl2_108
| spl2_95
| ~ spl2_129 ),
inference(rat,[],[s3892,s3112,s295,s4345,s4016]) ).
cnf(s4391,plain,
( spl2_198
| ~ spl2_398
| ~ spl2_201
| spl2_200
| ~ spl2_75
| ~ spl2_12
| spl2_130
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_7 ),
inference(rat,[],[s568,s4389,s789,s3845,s3847,s788,s1879,s3834,s2007,s2928,s3422,s1815,s1596,s3111,s3929,s3654,s3859,s3078,s1517,s4033,s3942,s3943,s1498,s589,s4300,s4385,s1808,s4016,s4383]) ).
cnf(s4392,plain,
( ~ spl2_80
| spl2_246
| ~ spl2_100
| spl2_19
| ~ spl2_194
| ~ spl2_79
| ~ spl2_390
| ~ spl2_386
| spl2_108 ),
inference(rat,[],[s3584,s3706,s4035,s4054,s761,s2653,s3545,s4073,s3846,s2773,s1702,s3235,s4016,s4383]) ).
cnf(s4393,plain,
( ~ spl2_28
| ~ spl2_148
| ~ spl2_100
| spl2_19
| ~ spl2_194
| ~ spl2_79
| ~ spl2_390
| ~ spl2_398
| ~ spl2_386
| ~ spl2_139
| spl2_108 ),
inference(rat,[],[s3833,s3584,s2539,s4035,s723,s3824,s4055,s4392,s1873,s1702,s3235,s4016,s4383]) ).
cnf(s4394,plain,
( ~ spl2_80
| spl2_28
| ~ spl2_100
| ~ spl2_85
| spl2_19
| ~ spl2_194
| ~ spl2_124
| ~ spl2_390
| ~ spl2_201
| spl2_108
| spl2_7 ),
inference(rat,[],[s3406,s3835,s2757,s2106,s1701,s4392,s3839,s3111,s3051,s4383,s4016]) ).
cnf(s4395,plain,
( ~ spl2_85
| spl2_14
| ~ spl2_194
| ~ spl2_124
| ~ spl2_390
| ~ spl2_201
| spl2_200
| ~ spl2_139
| spl2_108
| spl2_7 ),
inference(rat,[],[s1701,s2757,s3824,s2568,s4055,s4394,s2166,s20,s4393,s1816,s370,s3672,s3839,s3969,s713,s2918,s3111,s3051,s3847,s1658,s4016,s1808]) ).
cnf(s4396,plain,
( ~ spl2_220
| spl2_246
| ~ spl2_265
| ~ spl2_79
| ~ spl2_94
| spl2_108 ),
inference(rat,[],[s2653,s3545,s4054,s4073,s680,s1168]) ).
cnf(s4397,plain,
( spl2_246
| ~ spl2_265
| ~ spl2_79
| ~ spl2_390
| ~ spl2_386
| spl2_200
| ~ spl2_94
| spl2_108
| spl2_219 ),
inference(rat,[],[s3545,s761,s4073,s4035,s1716,s2462,s3113,s4396,s4016]) ).
cnf(s4398,plain,
( ~ spl2_194
| spl2_15
| ~ spl2_124
| ~ spl2_390
| ~ spl2_398
| ~ spl2_201
| spl2_200
| ~ spl2_75
| ~ spl2_94
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s3835,s3412,s2568,s2757,s1873,s2106,s1701,s4397,s3235,s3847,s1879,s3834,s3839,s3111,s3051,s1808,s4383,s4016]) ).
cnf(s4399,plain,
( ~ spl2_80
| ~ spl2_100
| spl2_19
| spl2_246
| ~ spl2_79
| ~ spl2_390
| ~ spl2_386
| spl2_200
| spl2_108
| spl2_219 ),
inference(rat,[],[s3584,s3706,s4035,s4054,s761,s2653,s3514,s3545,s734,s4073,s4041,s645,s3846,s604,s4033,s3235,s4016,s4383]) ).
cnf(s4400,plain,
( ~ spl2_100
| spl2_19
| spl2_246
| spl2_194
| ~ spl2_124
| ~ spl2_79
| ~ spl2_390
| ~ spl2_386
| spl2_200
| spl2_108
| spl2_219 ),
inference(rat,[],[s3689,s3584,s1058,s575,s4035,s4054,s723,s3874,s3824,s2390,s4055,s4399,s1816,s370,s3235,s4016,s4385,s1808,s4383]) ).
cnf(s4401,plain,
( spl2_225
| spl2_27
| spl2_236
| spl2_246
| ~ spl2_79
| spl2_108 ),
inference(rat,[],[s3545,s2653,s4073,s4054,s3683,s3706]) ).
cnf(s4402,plain,
( ~ spl2_80
| spl2_246
| ~ spl2_79
| spl2_200
| spl2_29
| ~ spl2_73
| spl2_108
| spl2_219 ),
inference(rat,[],[s3113,s608,s618,s4401,s645,s770,s4016,s4383]) ).
cnf(s4403,plain,
( spl2_14
| ~ spl2_88
| spl2_246
| spl2_194
| spl2_15
| ~ spl2_124
| ~ spl2_79
| ~ spl2_390
| ~ spl2_386
| spl2_200
| spl2_108
| spl2_219 ),
inference(rat,[],[s3545,s761,s4073,s4035,s1716,s578,s907,s2177,s490,s4057,s3672,s4400,s8,s3845,s3847,s589,s4388]) ).
cnf(s4404,plain,
( spl2_246
| spl2_194
| spl2_15
| ~ spl2_124
| ~ spl2_79
| ~ spl2_390
| ~ spl2_386
| spl2_200
| spl2_29
| ~ spl2_73
| spl2_108
| spl2_219 ),
inference(rat,[],[s3113,s1593,s1594,s4054,s4403,s3874,s2390,s4055,s4402,s4016,s4385]) ).
cnf(s4405,plain,
( ~ spl2_201
| spl2_200
| ~ spl2_12
| spl2_130
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s482,s3654,s4057,s3235,s3406,s3412,s1816,s3835,s2318,s2568,s3113,s2757,s1873,s2106,s3624,s1701,s4404,s4398,s1658,s568,s3905,s1247,s3111,s3112,s3051,s3714,s3346,s4391,s3969,s713,s3839,s4033,s3942,s2918,s4390,s356,s870,s3366,s1551,s1498,s3114,s3974,s265,s861,s4383,s1808,s4016]) ).
cnf(s4406,plain,
( spl2_200
| ~ spl2_12
| spl2_130
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s578,s4035,s2177,s761,s4055,s3545,s4402,s4073,s3624,s1716,s1143,s4266,s4057,s1193,s45,s549,s3845,s3847,s1658,s1877,s3816,s568,s3346,s2349,s2926,s3923,s2680,s3642,s3112,s3111,s2280,s1596,s3944,s1815,s3423,s605,s4405,s3060,s3366,s1551,s589,s3942,s1498,s2918,s4390,s3114,s3974,s265,s356,s861,s4388,s4383,s4385,s4016,s1808,s1428]) ).
cnf(s4407,plain,
( ~ spl2_80
| spl2_238
| spl2_198
| ~ spl2_414
| spl2_130
| ~ spl2_73 ),
inference(rat,[],[s1813,s2081,s2215,s3835,s1808]) ).
cnf(s4408,plain,
( spl2_80
| spl2_194
| ~ spl2_14
| ~ spl2_193
| spl2_219 ),
inference(rat,[],[s4123,s1595,s3874,s4041,s2390,s848,s4055,s4385]) ).
cnf(s4409,plain,
( ~ spl2_80
| spl2_198
| ~ spl2_414
| ~ spl2_200
| ~ spl2_75
| spl2_130
| ~ spl2_73 ),
inference(rat,[],[s2401,s4407,s2215,s1808]) ).
cnf(s4410,plain,
( ~ spl2_201
| spl2_80
| ~ spl2_109
| ~ spl2_19
| ~ spl2_414
| ~ spl2_139
| ~ spl2_75
| spl2_219 ),
inference(rat,[],[s4408,s1879,s3845,s568,s4171,s3568,s3654,s1816,s3969,s3859,s2470,s713,s2918,s1808]) ).
cnf(s4411,plain,
( ~ spl2_12
| spl2_130
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s3847,s1879,s1658,s2007,s3448,s2928,s3400,s3696,s3654,s1815,s1816,s3969,s3944,s1586,s2237,s2280,s3112,s2680,s605,s4410,s4409,s4057,s3078,s2249,s3346,s2246,s2169,s3431,s4406,s4390,s3943,s1498,s3114,s3974,s265,s861,s356,s4385,s1808,s4016,s4383]) ).
cnf(s4412,plain,
( ~ spl2_398
| spl2_198
| ~ spl2_201
| ~ spl2_431
| ~ spl2_75
| spl2_200
| spl2_12
| spl2_130
| ~ spl2_73
| spl2_228
| spl2_95
| spl2_7 ),
inference(rat,[],[s2903,s2297,s3128,s1461,s3318,s1575,s3970,s1814,s4202,s2635,s4187,s568,s789,s3845,s6,s788,s1879,s3834,s2007,s2928,s3422,s1815,s1816,s3944,s1586,s2280,s3112,s3215,s2926,s3654,s3942,s589,s3943,s1498,s3859,s24,s881,s1470,s1428,s1808,s4300,s4385,s4016]) ).
cnf(s4413,plain,
( spl2_198
| ~ spl2_201
| ~ spl2_431
| ~ spl2_75
| spl2_200
| spl2_12
| spl2_130
| ~ spl2_73
| spl2_228
| spl2_95
| ~ spl2_129
| spl2_7 ),
inference(rat,[],[s1816,s4201,s2315,s1815,s3052,s1596,s3111,s2631,s3969,s4412,s881,s3942,s713,s1625,s24,s1808,s4016]) ).
cnf(s4414,plain,
( ~ spl2_246
| ~ spl2_134
| ~ spl2_201
| spl2_200
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s3113,s3397,s2757,s1191,s1701,s4016]) ).
cnf(s4415,plain,
( ~ spl2_201
| ~ spl2_75
| spl2_200
| spl2_130
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s3113,s1593,s1594,s4054,s3874,s2390,s4055,s4402,s4414,s1815,s3422,s2928,s2009,s2454,s1879,s3845,s568,s3905,s1247,s3111,s3112,s3051,s3714,s3346,s4413,s3859,s3839,s861,s2924,s4033,s1625,s24,s4411,s3060,s3366,s1551,s1498,s4016,s4385,s1808,s1428,s4383]) ).
cnf(s4416,plain,
( ~ spl2_75
| spl2_200
| spl2_130
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s2356,s4402,s4055,s2177,s3945,s4057,s1816,s3672,s492,s4223,s3542,s3969,s4137,s1877,s3654,s3816,s568,s2349,s2926,s3923,s3642,s3112,s3111,s2280,s1596,s3944,s1815,s3423,s605,s4415,s3060,s3366,s1551,s1498,s3942,s1625,s24,s4411,s589,s4388,s1808,s4385,s4016,s1428,s4383]) ).
cnf(s4417,plain,
( ~ spl2_194
| ~ spl2_14
| ~ spl2_201
| ~ spl2_390
| ~ spl2_214
| spl2_200
| ~ spl2_94
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s2757,s907,s1701,s660,s4397,s2031,s3834,s3839,s3111,s3051,s4016]) ).
cnf(s4418,plain,
( ~ spl2_139
| ~ spl2_201
| ~ spl2_390
| ~ spl2_214
| spl2_200
| ~ spl2_19
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s1815,s3422,s4414,s2928,s4404,s2009,s4417,s1658,s3845,s568,s4138,s3654,s3969,s4033,s3942,s3839,s713,s1625,s3859,s3111,s3051,s1808,s4385,s4016]) ).
cnf(s4419,plain,
( spl2_80
| ~ spl2_198
| ~ spl2_214
| ~ spl2_74
| spl2_7 ),
inference(rat,[],[s711,s3565,s4073,s1653,s1716,s2757,s907,s660,s4055,s3346]) ).
cnf(s4420,plain,
( ~ spl2_201
| ~ spl2_80
| ~ spl2_390
| ~ spl2_214
| ~ spl2_184
| spl2_200
| ~ spl2_19
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s1815,s4414,s449,s4402,s440,s3111,s4418,s3051,s1625,s1808,s4016]) ).
cnf(s4421,plain,
( spl2_200
| spl2_130
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s4402,s2356,s3111,s3945,s2130,s1596,s1816,s1815,s1204,s3423,s605,s4420,s4419,s3346,s1325,s1175,s3413,s447,s3114,s4416,s589,s861,s3942,s1625,s24,s4411,s4016,s1808,s4385]) ).
cnf(s4422,plain,
( ~ spl2_75
| ~ spl2_139
| ~ spl2_201
| spl2_198
| ~ spl2_414
| ~ spl2_200
| ~ spl2_19
| spl2_130
| ~ spl2_73
| spl2_219 ),
inference(rat,[],[s2249,s4057,s2246,s4410,s3943,s4409,s1498]) ).
cnf(s4423,plain,
( ~ spl2_201
| ~ spl2_200
| ~ spl2_19
| spl2_130
| ~ spl2_73
| ~ spl2_84
| spl2_219
| spl2_7 ),
inference(rat,[],[s2009,s1973,s1624,s2504,s3672,s4057,s482,s3028,s687,s3114,s4422,s3654,s3969,s4201,s1815,s1816,s2181,s2470,s713,s3839,s861,s1625,s3431,s598,s3346,s2169,s1808,s4385,s4016]) ).
cnf(s4424,plain,
( ~ spl2_75
| ~ spl2_124
| ~ spl2_76
| spl2_198
| ~ spl2_414
| ~ spl2_200
| spl2_12
| spl2_130
| ~ spl2_73
| spl2_95
| spl2_219 ),
inference(rat,[],[s3568,s4408,s4057,s1879,s1816,s2249,s6,s3654,s1586,s2246,s1658,s3969,s3943,s4345,s4409,s1498,s861,s24,s2237,s1808]) ).
cnf(s4425,plain,
( spl2_130
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219
| spl2_7 ),
inference(rat,[],[s2009,s1973,s1624,s2504,s6,s1658,s440,s449,s3028,s447,s3114,s4424,s3448,s3400,s1815,s3944,s2280,s3112,s2680,s605,s4423,s3346,s2169,s3431,s4421,s24,s4411,s861,s4033,s1808,s4385,s4016]) ).
cnf(s4426,plain,
( ~ spl2_75
| spl2_115
| spl2_128
| ~ spl2_201
| spl2_198
| spl2_200
| ~ spl2_73
| ~ spl2_84
| spl2_219 ),
inference(rat,[],[s3845,s568,s2454,s3905,s2926,s1247,s3215,s3060,s3112,s3366,s2786,s1551,s1498,s4385,s1428,s4016,s4383]) ).
cnf(s4427,plain,
( ~ spl2_398
| spl2_192
| ~ spl2_19
| ~ spl2_130
| ~ spl2_84 ),
inference(rat,[],[s3929,s3111,s3654,s2134,s4016]) ).
cnf(s4428,plain,
( spl2_139
| spl2_214
| spl2_127
| ~ spl2_205
| ~ spl2_202
| ~ spl2_73
| spl2_228 ),
inference(rat,[],[s2315,s3052,s1816,s3111,s3260,s2631,s1808,s4016]) ).
cnf(s4429,plain,
( ~ spl2_201
| spl2_198
| spl2_200
| ~ spl2_130
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219 ),
inference(rat,[],[s3113,s4346,s4396,s1873,s1177,s3715,s4055,s3112,s2031,s3834,s3215,s2007,s2926,s1973,s3060,s2504,s3845,s568,s1351,s3111,s4427,s3654,s2134,s3969,s4428,s894,s3028,s3114,s4426,s1039,s3859,s713,s2924,s4033,s3942,s1048,s589,s881,s3078,s4016,s4385,s1428,s4383]) ).
cnf(s4430,plain,
( spl2_198
| spl2_200
| ~ spl2_130
| ~ spl2_73
| spl2_108
| spl2_95
| spl2_219 ),
inference(rat,[],[s2926,s3060,s2455,s2504,s3847,s1658,s568,s3923,s3112,s2280,s2631,s3642,s3944,s3111,s1815,s4334,s3423,s605,s4429,s3078,s881,s2924,s4385,s1428,s4388,s4016,s1808,s4383]) ).
cnf(s4432,plain,
( ~ spl2_24
| ~ spl2_91
| spl2_85
| ~ spl2_22 ),
inference(rat,[],[s3930,s4388]) ).
cnf(s4434,plain,
( ~ spl2_116
| ~ spl2_77
| spl2_108
| ~ spl2_199 ),
inference(rat,[],[s3923,s4388]) ).
cnf(s4436,plain,
( ~ spl2_37
| ~ spl2_218
| spl2_194 ),
inference(rat,[],[s3874,s4385]) ).
cnf(s4437,plain,
( ~ spl2_104
| ~ spl2_100
| spl2_19
| ~ spl2_80
| ~ spl2_390 ),
inference(rat,[],[s3846,s4383]) ).
cnf(s4439,plain,
( spl2_211
| ~ spl2_280
| ~ spl2_265
| ~ spl2_412 ),
inference(rat,[],[s3726,s4383]) ).
cnf(s4440,plain,
( ~ spl2_219
| spl2_19
| ~ spl2_194
| ~ spl2_257 ),
inference(rat,[],[s3675,s4383]) ).
cnf(s4441,plain,
( ~ spl2_222
| ~ spl2_257
| ~ spl2_194
| ~ spl2_219 ),
inference(rat,[],[s3674,s4016]) ).
cnf(s4443,plain,
( ~ spl2_10
| spl2_196
| spl2_19
| ~ spl2_257 ),
inference(rat,[],[s3670,s4383]) ).
cnf(s4446,plain,
( ~ spl2_236
| ~ spl2_245
| ~ spl2_198
| ~ spl2_124
| spl2_196 ),
inference(rat,[],[s3617,s4383]) ).
cnf(s4447,plain,
( ~ spl2_236
| ~ spl2_245
| ~ spl2_198
| ~ spl2_124
| ~ spl2_121
| ~ spl2_386 ),
inference(rat,[],[s3615,s4383]) ).
cnf(s4448,plain,
( ~ spl2_121
| ~ spl2_222
| spl2_47
| ~ spl2_225
| ~ spl2_386 ),
inference(rat,[],[s3584,s4016]) ).
cnf(s4450,plain,
( ~ spl2_238
| ~ spl2_245
| ~ spl2_200
| ~ spl2_124
| ~ spl2_80
| ~ spl2_414 ),
inference(rat,[],[s3559,s4383]) ).
cnf(s4452,plain,
( ~ spl2_47
| ~ spl2_290
| ~ spl2_200
| ~ spl2_301
| ~ spl2_414 ),
inference(rat,[],[s3502,s4383]) ).
cnf(s4454,plain,
( ~ spl2_239
| spl2_124 ),
inference(rat,[],[s3448,s4385]) ).
cnf(s4455,plain,
( ~ spl2_225
| ~ spl2_246
| ~ spl2_239 ),
inference(rat,[],[s3444,s4385]) ).
cnf(s4456,plain,
( ~ spl2_238
| spl2_196
| spl2_28
| spl2_200
| ~ spl2_222 ),
inference(rat,[],[s3412,s4383,s1808]) ).
cnf(s4457,plain,
( ~ spl2_238
| spl2_196
| ~ spl2_85
| spl2_28 ),
inference(rat,[],[s3406,s4383]) ).
cnf(s4460,plain,
( ~ spl2_231
| spl2_196
| ~ spl2_268
| ~ spl2_404 ),
inference(rat,[],[s3396,s4383]) ).
cnf(s4464,plain,
( spl2_222
| spl2_19 ),
inference(rat,[],[s3235,s4383]) ).
cnf(s4465,plain,
( ~ spl2_104
| ~ spl2_111
| ~ spl2_414
| ~ spl2_80
| ~ spl2_222 ),
inference(rat,[],[s3213,s4016]) ).
cnf(s4467,plain,
( spl2_140
| spl2_231 ),
inference(rat,[],[s3181,s1808]) ).
cnf(s4469,plain,
( spl2_74
| spl2_75 ),
inference(rat,[],[s3114,s4016]) ).
cnf(s4470,plain,
( spl2_196
| spl2_220
| spl2_200
| spl2_219 ),
inference(rat,[],[s3113,s4016]) ).
cnf(s4471,plain,
( spl2_76
| spl2_77 ),
inference(rat,[],[s3112,s4016]) ).
cnf(s4472,plain,
( spl2_78
| spl2_79 ),
inference(rat,[],[s3111,s4016]) ).
cnf(s4474,plain,
( spl2_72
| spl2_73 ),
inference(rat,[],[s3109,s4016]) ).
cnf(s4475,plain,
( spl2_19
| spl2_198
| spl2_108 ),
inference(rat,[],[s3078,s4383]) ).
cnf(s4476,plain,
( ~ spl2_265
| ~ spl2_412
| spl2_201
| ~ spl2_134 ),
inference(rat,[],[s3062,s4383]) ).
cnf(s4477,plain,
( spl2_267
| spl2_431 ),
inference(rat,[],[s3060,s1428]) ).
cnf(s4480,plain,
( ~ spl2_139
| ~ spl2_239
| ~ spl2_7 ),
inference(rat,[],[s2954,s4385]) ).
cnf(s4482,plain,
( ~ spl2_14
| spl2_384
| ~ spl2_7 ),
inference(rat,[],[s2939,s4383]) ).
cnf(s4485,plain,
( ~ spl2_232
| ~ spl2_403
| spl2_187 ),
inference(rat,[],[s2928,s4385]) ).
cnf(s4486,plain,
( spl2_325
| ~ spl2_359
| ~ spl2_433 ),
inference(rat,[],[s2927,s4385]) ).
cnf(s4487,plain,
( ~ spl2_431
| spl2_187
| ~ spl2_210 ),
inference(rat,[],[s2926,s4385]) ).
cnf(s4488,plain,
( spl2_108
| ~ spl2_228 ),
inference(rat,[],[s2924,s4385]) ).
cnf(s4494,plain,
( ~ spl2_290
| ~ spl2_100
| spl2_19
| ~ spl2_414 ),
inference(rat,[],[s2746,s4383]) ).
cnf(s4499,plain,
( ~ spl2_94
| ~ spl2_108
| ~ spl2_198
| spl2_200 ),
inference(rat,[],[s2652,s4383]) ).
cnf(s4502,plain,
( spl2_196
| spl2_28
| spl2_200
| spl2_80 ),
inference(rat,[],[s2568,s4016]) ).
cnf(s4503,plain,
( ~ spl2_27
| ~ spl2_104
| spl2_130
| spl2_198 ),
inference(rat,[],[s2553,s4383]) ).
cnf(s4505,plain,
( ~ spl2_108
| spl2_28
| spl2_196
| ~ spl2_236 ),
inference(rat,[],[s2446,s4383]) ).
cnf(s4513,plain,
( ~ spl2_47
| ~ spl2_207
| ~ spl2_433 ),
inference(rat,[],[s2373,s4385]) ).
cnf(s4514,plain,
( ~ spl2_47
| ~ spl2_241
| ~ spl2_431 ),
inference(rat,[],[s2361,s4385]) ).
cnf(s4515,plain,
( ~ spl2_47
| ~ spl2_364
| ~ spl2_403 ),
inference(rat,[],[s2359,s4385]) ).
cnf(s4517,plain,
( ~ spl2_47
| ~ spl2_431
| ~ spl2_210 ),
inference(rat,[],[s2349,s4385]) ).
cnf(s4522,plain,
( ~ spl2_47
| ~ spl2_106
| spl2_198
| ~ spl2_200 ),
inference(rat,[],[s2324,s4383]) ).
cnf(s4525,plain,
( ~ spl2_47
| spl2_384
| ~ spl2_7 ),
inference(rat,[],[s2320,s4383]) ).
cnf(s4526,plain,
( ~ spl2_47
| ~ spl2_232
| ~ spl2_403 ),
inference(rat,[],[s2302,s4385]) ).
cnf(s4531,plain,
( ~ spl2_109
| spl2_31
| ~ spl2_88
| ~ spl2_202 ),
inference(rat,[],[s2177,s4388]) ).
cnf(s4534,plain,
( ~ spl2_47
| ~ spl2_37
| ~ spl2_218 ),
inference(rat,[],[s2151,s4385]) ).
cnf(s4537,plain,
( spl2_194
| spl2_403 ),
inference(rat,[],[s2009,s1808]) ).
cnf(s4538,plain,
( spl2_267
| ~ spl2_312
| ~ spl2_403 ),
inference(rat,[],[s1973,s4385]) ).
cnf(s4539,plain,
( ~ spl2_47
| spl2_403 ),
inference(rat,[],[s1971,s1808]) ).
cnf(s4540,plain,
( ~ spl2_47
| ~ spl2_312
| ~ spl2_403 ),
inference(rat,[],[s1968,s4385]) ).
cnf(s4544,plain,
( spl2_147
| spl2_148 ),
inference(rat,[],[s1816,s1808]) ).
cnf(s4545,plain,
( spl2_132
| spl2_134 ),
inference(rat,[],[s1815,s1808]) ).
cnf(s4546,plain,
( spl2_143
| spl2_144 ),
inference(rat,[],[s1814,s1808]) ).
cnf(s4547,plain,
( spl2_196
| spl2_231
| spl2_130
| spl2_198 ),
inference(rat,[],[s1813,s1808]) ).
cnf(s4549,plain,
( spl2_145
| spl2_146 ),
inference(rat,[],[s1811,s1808]) ).
cnf(s4550,plain,
( spl2_196
| spl2_246
| spl2_139
| spl2_201 ),
inference(rat,[],[s1723,s1428]) ).
cnf(s4554,plain,
( spl2_121
| spl2_196
| spl2_28
| spl2_201 ),
inference(rat,[],[s1659,s1428]) ).
cnf(s4556,plain,
( ~ spl2_14
| ~ spl2_29
| spl2_384 ),
inference(rat,[],[s1626,s4383]) ).
cnf(s4558,plain,
( ~ spl2_268
| ~ spl2_75
| spl2_219
| spl2_200 ),
inference(rat,[],[s1551,s4383]) ).
cnf(s4562,plain,
( spl2_183
| spl2_280 ),
inference(rat,[],[s1461,s1428]) ).
cnf(s4565,plain,
( spl2_289
| spl2_290 ),
inference(rat,[],[s1431,s1428]) ).
cnf(s4566,plain,
( spl2_287
| spl2_288 ),
inference(rat,[],[s1430,s1428]) ).
cnf(s4567,plain,
( spl2_291
| spl2_292 ),
inference(rat,[],[s1429,s1428]) ).
cnf(s4568,plain,
( spl2_160
| ~ spl2_240 ),
inference(rat,[],[s1356,s4385]) ).
cnf(s4570,plain,
( ~ spl2_214
| spl2_85 ),
inference(rat,[],[s1325,s4385]) ).
cnf(s4574,plain,
( ~ spl2_220
| spl2_196
| ~ spl2_200
| ~ spl2_238
| ~ spl2_265 ),
inference(rat,[],[s915,s4383]) ).
cnf(s4577,plain,
( spl2_49
| ~ spl2_279 ),
inference(rat,[],[s789,s4300]) ).
cnf(s4581,plain,
( ~ spl2_27
| ~ spl2_80
| spl2_200
| spl2_219 ),
inference(rat,[],[s645,s4383]) ).
cnf(s4585,plain,
( spl2_40
| spl2_19 ),
inference(rat,[],[s549,s4383]) ).
cnf(s4586,plain,
( ~ spl2_23
| spl2_31 ),
inference(rat,[],[s522,s4385]) ).
cnf(s4591,plain,
( spl2_49
| ~ spl2_142 ),
inference(rat,[],[s349,s4300]) ).
cnf(s4594,plain,
( ~ spl2_23
| ~ spl2_28
| ~ spl2_7 ),
inference(rat,[],[s36,s4385]) ).
cnf(s4598,plain,
( spl2_219
| spl2_7
| spl2_130
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s4470,s649,s651,s4419,s1175,s3413,s589,s681,s1625,s24,s265,s3974,s4469,s1456,s4425,s861]) ).
cnf(s4599,plain,
( ~ spl2_139
| spl2_127
| spl2_200
| ~ spl2_19
| ~ spl2_412 ),
inference(rat,[],[s4485,s3422,s3654,s4545,s3969,s2527,s4537,s3081]) ).
cnf(s4600,plain,
( ~ spl2_201
| spl2_200
| ~ spl2_19
| ~ spl2_412
| ~ spl2_94
| ~ spl2_219
| spl2_228
| ~ spl2_73 ),
inference(rat,[],[s4485,s2454,s3422,s3847,s4545,s3420,s1596,s4570,s4472,s4428,s2631,s4599,s713,s1609,s881,s2630,s4537,s3081,s589]) ).
cnf(s4601,plain,
( spl2_200
| ~ spl2_19
| ~ spl2_412
| ~ spl2_94
| ~ spl2_219
| spl2_130
| spl2_228
| ~ spl2_73 ),
inference(rat,[],[s492,s4544,s4599,s1586,s2237,s4471,s2680,s605,s4600,s3943,s1498,s4469,s1175,s589,s2630]) ).
cnf(s4602,plain,
( ~ spl2_75
| spl2_187
| spl2_128
| ~ spl2_201
| ~ spl2_200
| spl2_194
| spl2_198
| ~ spl2_412
| spl2_7
| spl2_130
| ~ spl2_73 ),
inference(rat,[],[s2757,s1701,s3620,s3824,s4436,s2123,s4054,s1595,s3845,s4041,s568,s848,s4171,s3568,s4057,s4055,s2245,s4409,s3943,s1498,s4544,s2470,s3431]) ).
cnf(s4603,plain,
( spl2_187
| spl2_128
| ~ spl2_201
| spl2_100
| ~ spl2_200
| spl2_194
| spl2_198
| ~ spl2_412
| spl2_7
| spl2_130
| ~ spl2_84
| ~ spl2_73 ),
inference(rat,[],[s3672,s2504,s4057,s4538,s482,s3028,s687,s4469,s4602,s4537,s4544,s2470,s3431]) ).
cnf(s4604,plain,
( ~ spl2_201
| ~ spl2_200
| ~ spl2_19
| spl2_198
| ~ spl2_412
| spl2_7
| spl2_130
| ~ spl2_84
| ~ spl2_73 ),
inference(rat,[],[s4279,s4057,s568,s3672,s3845,s2454,s4603,s4545,s2181,s3859,s3839,s3081,s598]) ).
cnf(s4605,plain,
( ~ spl2_139
| spl2_127
| spl2_201
| ~ spl2_200
| ~ spl2_403
| ~ spl2_19 ),
inference(rat,[],[s3696,s4485,s4544,s3654,s3945,s3969,s3968]) ).
cnf(s4606,plain,
( spl2_95
| spl2_7
| spl2_130
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s1601,s4173,s3397,s4056,s4252,s4041,s3542,s4137,s568,s4279,s4057,s3672,s3820,s4485,s4526,s3696,s4544,s2315,s3052,s4472,s2631,s4605,s4545,s3944,s2237,s2280,s4471,s2680,s605,s4604,s598,s4601,s4537,s3081,s4475,s881,s2630,s3966,s3942,s4488,s4033,s4598]) ).
cnf(s4607,plain,
( spl2_7
| spl2_130
| ~ spl2_73
| spl2_108 ),
inference(rat,[],[s4436,s3085,s4054,s4056,s575,s1702,s651,s1336,s4419,s4570,s3413,s1175,s589,s4469,s681,s1456,s4606,s1609,s4598]) ).
cnf(s4609,plain,
( ~ spl2_139
| spl2_219
| ~ spl2_7 ),
inference(rat,[],[s3400,s605,s4037,s4480,s1408]) ).
cnf(s4611,plain,
( spl2_198
| ~ spl2_200
| ~ spl2_47
| ~ spl2_73 ),
inference(rat,[],[s3943,s1498,s4469,s4522,s3028,s4540,s4539]) ).
cnf(s4612,plain,
( ~ spl2_104
| spl2_236
| ~ spl2_384
| spl2_29
| ~ spl2_94
| spl2_219 ),
inference(rat,[],[s4586,s3920,s3956,s907,s618,s4056,s3683,s1168]) ).
cnf(s4613,plain,
( spl2_95
| spl2_219
| ~ spl2_7
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s4345,s4471,s4469,s3543,s3404,s4612,s770,s4055,s2390,s2354,s2370,s4436,s4054,s4525,s575,s1702,s4539,s2352,s574,s1625,s24,s4348,s3942,s861,s4609]) ).
cnf(s4614,plain,
( spl2_219
| spl2_130
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s591,s1322,s3527,s681,s574,s1625,s24,s265,s687,s3974,s4469,s1456,s4613,s861,s4033,s4607]) ).
cnf(s4615,plain,
( spl2_130
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s1322,s1336,s4570,s3413,s589,s4469,s4370,s684,s1603,s4614,s4607]) ).
cnf(s4616,plain,
( ~ spl2_139
| ~ spl2_201
| ~ spl2_75
| ~ spl2_222
| spl2_200
| spl2_95
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s3835,s4456,s4502,s2757,s2106,s1873,s1701,s4404,s4398,s1658,s3969,s3942,s713,s4472,s3051,s3346,s568,s3905,s1247,s4033,s3366,s4558,s678,s1048,s4471,s3714,s3839,s2774,s4430,s3966,s2593,s4615]) ).
cnf(s4617,plain,
( ~ spl2_194
| spl2_139
| ~ spl2_124
| spl2_127
| ~ spl2_201
| ~ spl2_390
| spl2_200
| spl2_219
| ~ spl2_94
| spl2_95
| spl2_7
| spl2_108 ),
inference(rat,[],[s2318,s4544,s4470,s4201,s2757,s4545,s3624,s1701,s3944,s4397,s993,s3834,s861,s3839,s4472,s3051]) ).
cnf(s4618,plain,
( ~ spl2_80
| ~ spl2_156
| ~ spl2_79
| spl2_200
| spl2_219
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s2356,s4402,s1048,s4615]) ).
cnf(s4619,plain,
( ~ spl2_121
| spl2_245
| spl2_47
| ~ spl2_386
| ~ spl2_222 ),
inference(rat,[],[s3689,s4448]) ).
cnf(s4620,plain,
( ~ spl2_201
| ~ spl2_75
| spl2_19
| spl2_200
| spl2_95
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s610,s555,s1716,s1168,s1760,s4073,s4404,s3545,s4414,s4545,s1921,s3854,s761,s4035,s4619,s2102,s1058,s575,s20,s4054,s1045,s4436,s2386,s2390,s4055,s4618,s3945,s4544,s2901,s1331,s4617,s4616,s568,s3905,s1247,s4471,s4472,s3714,s3051,s713,s3839,s4033,s3942,s861,s589,s3346,s2774,s3998,s24,s8,s4464,s3366,s4558,s678,s4430,s3966,s2593,s1048,s4615]) ).
cnf(s4621,plain,
( ~ spl2_75
| spl2_19
| spl2_200
| spl2_95
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s761,s4035,s3545,s578,s1059,s4531,s3586,s4055,s4618,s3945,s4073,s4544,s1716,s491,s4287,s4057,s1193,s3845,s45,s3816,s3828,s1877,s568,s4487,s4517,s4434,s3642,s4471,s4472,s2280,s1596,s3944,s4545,s3423,s605,s4620,s4477,s3366,s4558,s3942,s589,s3346,s2774,s678,s4430,s3966,s2593,s1048,s4615,s8,s4585,s870,s24]) ).
cnf(s4623,plain,
( ~ spl2_80
| ~ spl2_398
| ~ spl2_79
| ~ spl2_201
| ~ spl2_222
| spl2_200
| spl2_219
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s608,s3835,s4470,s4456,s2757,s1873,s1701,s4402,s1048,s2774,s4615]) ).
cnf(s4624,plain,
( ~ spl2_104
| ~ spl2_390
| spl2_200
| spl2_219
| ~ spl2_94 ),
inference(rat,[],[s4470,s1716,s1168]) ).
cnf(s4625,plain,
( spl2_80
| spl2_110
| ~ spl2_74
| ~ spl2_404
| ~ spl2_198
| ~ spl2_202
| spl2_7 ),
inference(rat,[],[s2102,s1177,s3565,s4419,s4055]) ).
cnf(s4626,plain,
( ~ spl2_201
| spl2_19
| spl2_200
| spl2_95
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s4201,s4544,s4545,s3969,s3945,s4414,s4623,s2356,s4402,s4472,s3051,s713,s861,s4464,s4625,s711,s4073,s4624,s3346,s3942,s4469,s4621,s3998,s678,s1048,s4430,s3966,s2593,s589,s2774,s4615]) ).
cnf(s4627,plain,
( spl2_19
| spl2_200
| spl2_95
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s4085,s3945,s3023,s4618,s3642,s4472,s2128,s1596,s4545,s3423,s605,s4626,s4625,s711,s4469,s4621,s589,s3998,s678,s1048,s4073,s4624,s3346,s4430,s2774,s3966,s2593,s4615,s3942]) ).
cnf(s4628,plain,
( ~ spl2_201
| spl2_267
| ~ spl2_19
| spl2_104
| ~ spl2_198
| spl2_200
| spl2_219
| spl2_95
| spl2_7
| spl2_108 ),
inference(rat,[],[s4537,s730,s4485,s3397,s3422,s4470,s4545,s2757,s4414,s1701,s3545,s2653,s4054,s1595,s4041,s734,s3929,s2454,s3845,s568,s3905,s1247,s4471,s4472,s3714,s3051,s3859,s3839,s4033,s3346,s4073]) ).
cnf(s4629,plain,
( spl2_200
| spl2_95
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s614,s4531,s4618,s4057,s3945,s3672,s4544,s3542,s4223,s492,s4137,s3969,s3816,s3654,s1877,s568,s4487,s4517,s4434,s3642,s4471,s4472,s2280,s1596,s3944,s4545,s3423,s605,s4628,s4477,s2076,s4627,s4624,s3998,s678,s3346,s4430,s589,s1048,s2774,s3942,s3966,s2593,s4615]) ).
cnf(s4630,plain,
( ~ spl2_201
| spl2_95
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s1498,s3715,s4469,s4471,s3028,s3215,s4538,s4487,s4537,s4477,s1624,s2504,s3845,s568,s4138,s4472,s3654,s2134,s3969,s4201,s4545,s4544,s2181,s2470,s1039,s3859,s713,s3839,s4033,s1048,s861,s3966,s2593,s3431,s4475,s3346,s2169,s4629,s2774,s4615]) ).
cnf(s4631,plain,
( ~ spl2_78
| ~ spl2_199
| spl2_47
| spl2_219
| ~ spl2_94
| ~ spl2_130
| ~ spl2_73 ),
inference(rat,[],[s4085,s4201,s2315,s3969,s3052,s1877,s4454,s3400,s4545,s2134,s1596,s861]) ).
cnf(s4632,plain,
( spl2_127
| ~ spl2_139
| ~ spl2_79
| spl2_201
| ~ spl2_19
| ~ spl2_200
| ~ spl2_84 ),
inference(rat,[],[s1658,s3847,s568,s1624,s4138,s2007,s3654,s4605,s3969]) ).
cnf(s4633,plain,
( spl2_95
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s4434,s4471,s568,s2237,s1877,s4632,s2631,s4472,s4631,s605,s4630,s4611,s4475,s881,s3346,s2169,s4629,s3966,s3942,s4488,s4033,s2774,s2593,s4615]) ).
cnf(s4634,plain,
( spl2_80
| ~ spl2_198
| ~ spl2_18
| spl2_219
| ~ spl2_74
| spl2_200
| spl2_7
| ~ spl2_130 ),
inference(rat,[],[s490,s2104,s4470,s907,s3833,s1716,s2023,s4073,s711,s1177,s4625,s4419,s4055,s589,s3346,s3998,s678,s1048]) ).
cnf(s4635,plain,
( ~ spl2_80
| spl2_219
| spl2_200
| ~ spl2_95 ),
inference(rat,[],[s4470,s649,s651]) ).
cnf(s4636,plain,
( spl2_19
| spl2_80
| spl2_219
| ~ spl2_74
| spl2_200
| spl2_7
| ~ spl2_130
| spl2_108 ),
inference(rat,[],[s4634,s4475,s8]) ).
cnf(s4637,plain,
( ~ spl2_201
| spl2_198
| ~ spl2_19
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s1336,s1970,s4057,s4538,s3568,s2504,s4544,s3845,s1197,s568,s4138,s4472,s3654,s2134,s3969,s4428,s3859,s713,s4488,s589,s681,s1048,s4615,s687,s4033,s3028,s894,s881,s4469,s1456,s4633]) ).
cnf(s4638,plain,
( spl2_198
| spl2_219
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s3969,s2237,s2134,s4471,s4472,s3215,s3642,s3023,s3260,s4544,s1196,s4545,s3423,s605,s4637,s894,s881,s589,s4636,s4635,s4469,s1456,s681,s4633,s1048,s2774,s4615]) ).
cnf(s4639,plain,
( spl2_219
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s4123,s4534,s575,s1336,s4057,s3567,s2076,s3998,s678,s4638,s4636,s2390,s4055,s4635,s2774,s681,s1048,s4615,s687,s4469,s1456,s4633,s4033]) ).
cnf(s4640,plain,
( ~ spl2_80
| ~ spl2_18
| ~ spl2_202
| ~ spl2_95 ),
inference(rat,[],[s555,s4056,s649,s650,s651]) ).
cnf(s4641,plain,
( spl2_19
| ~ spl2_74
| ~ spl2_95
| spl2_7
| ~ spl2_130
| spl2_108 ),
inference(rat,[],[s4123,s4534,s575,s1336,s490,s3620,s907,s1716,s4073,s711,s4625,s4055,s4640,s3998,s678,s3346,s4475,s8,s589,s681,s1048]) ).
cnf(s4642,plain,
( ~ spl2_47
| ~ spl2_312 ),
inference(rat,[],[s4540,s4539]) ).
cnf(s4643,plain,
( spl2_198
| spl2_108
| ~ spl2_73 ),
inference(rat,[],[s3969,s4428,s1877,s568,s4162,s4057,s1336,s4642,s4260,s605,s894,s4637,s3028,s881,s4488,s589,s681,s1048,s4639,s4641,s4469,s1456,s4633,s2774,s4615]) ).
cnf(s4644,plain,
( spl2_108
| ~ spl2_73 ),
inference(rat,[],[s614,s3620,s651,s1716,s4056,s3404,s3085,s2354,s4534,s4054,s575,s4539,s1336,s4057,s3567,s2076,s3998,s678,s3346,s4643,s4641,s687,s4469,s681,s1456,s4633,s2774,s1048,s4615,s4033]) ).
cnf(s4645,plain,
( ~ spl2_78
| ~ spl2_201
| spl2_100
| spl2_200
| ~ spl2_94
| ~ spl2_108 ),
inference(rat,[],[s568,s4279,s752,s4057,s3549,s3672,s2454,s4485,s3422,s4545,s1596,s4537,s847]) ).
cnf(s4646,plain,
( spl2_187
| ~ spl2_431
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s2280,s3944,s4471,s4545,s3215,s3422,s4487,s4485,s4537,s847,s4499,s4644,s3942]) ).
cnf(s4647,plain,
( ~ spl2_196
| spl2_246
| spl2_236
| spl2_29
| ~ spl2_79
| ~ spl2_386 ),
inference(rat,[],[s3545,s761,s4073,s4035,s3683,s2462,s618]) ).
cnf(s4648,plain,
( ~ spl2_134
| spl2_236
| spl2_29
| ~ spl2_79
| ~ spl2_201
| spl2_219
| spl2_7
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s3397,s4290,s4470,s907,s4647,s3215,s4471,s2280,s4414,s3944,s4499,s4644,s3942,s3839]) ).
cnf(s4649,plain,
( ~ spl2_196
| spl2_236
| spl2_29
| ~ spl2_79
| ~ spl2_201
| spl2_7 ),
inference(rat,[],[s1701,s4647,s2757,s3839]) ).
cnf(s4650,plain,
( spl2_196
| spl2_219
| spl2_130
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s726,s3397,s4547,s4470,s4499,s4644,s3942]) ).
cnf(s4651,plain,
( ~ spl2_201
| ~ spl2_196
| ~ spl2_187
| spl2_7
| spl2_100
| spl2_200
| ~ spl2_94
| ~ spl2_108 ),
inference(rat,[],[s4252,s4041,s4056,s579,s1168,s4073,s3545,s761,s4035,s1701,s2462,s4057,s3549,s3672,s2454,s4472,s4645,s3839,s847,s2757]) ).
cnf(s4652,plain,
( spl2_219
| spl2_7
| spl2_130
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s2280,s3944,s4471,s4545,s2680,s3423,s605,s4651,s4650,s4646,s4477,s3366,s4558,s461,s1498,s4469,s1175,s589,s4499,s4644,s3942]) ).
cnf(s4653,plain,
( spl2_196
| spl2_130
| ~ spl2_18
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4123,s1595,s3542,s4436,s555,s3085,s4056,s3397,s726,s647,s4547,s847,s589,s4499,s4644,s3942]) ).
cnf(s4654,plain,
( ~ spl2_201
| spl2_236
| spl2_29
| spl2_7
| ~ spl2_196
| spl2_100
| spl2_200
| ~ spl2_94
| ~ spl2_108 ),
inference(rat,[],[s4118,s4649,s4645]) ).
cnf(s4655,plain,
( spl2_7
| ~ spl2_196
| spl2_130
| ~ spl2_40
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4119,s2680,s1150,s605,s4654,s45,s1374,s1593,s4054,s4436,s3085,s4056,s3397,s1601,s1609,s4652,s847,s461,s4469,s1175,s589,s4499,s3942,s4644]) ).
cnf(s4656,plain,
( spl2_130
| spl2_19
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s2454,s3672,s605,s4646,s4358,s2680,s4477,s4471,s3366,s4345,s20,s4558,s4609,s861,s4380,s4370,s4655,s4653,s1498,s461,s4469,s1175,s356,s589,s4499,s4644,s3942,s24,s8,s4585]) ).
cnf(s4657,plain,
( ~ spl2_78
| spl2_127
| ~ spl2_129
| ~ spl2_130
| ~ spl2_94
| ~ spl2_73 ),
inference(rat,[],[s4085,s4201,s2315,s3969,s4545,s3052,s2134,s1596]) ).
cnf(s4658,plain,
( ~ spl2_236
| spl2_219
| spl2_194
| ~ spl2_73 ),
inference(rat,[],[s4436,s2390,s4054,s4055,s1374,s770,s4644]) ).
cnf(s4659,plain,
( ~ spl2_201
| ~ spl2_130
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s2970,s3215,s1873,s4471,s3969,s2786,s2631,s3178,s679,s2402,s4059,s726,s4526,s1168,s3397,s3422,s4470,s907,s4545,s4649,s4648,s4472,s4657,s713,s1039,s4537,s881,s4499,s1048,s2774,s861,s4658,s3966,s2593,s847,s3942,s4644]) ).
cnf(s4660,plain,
( ~ spl2_93
| spl2_225
| ~ spl2_139
| ~ spl2_79
| spl2_198 ),
inference(rat,[],[s2539,s3833,s4035,s20,s761,s878]) ).
cnf(s4661,plain,
( ~ spl2_196
| ~ spl2_79
| ~ spl2_134
| spl2_201
| spl2_236
| spl2_29
| spl2_193
| ~ spl2_222
| spl2_198 ),
inference(rat,[],[s1071,s4591,s3706,s3700,s3586,s622,s4055,s4057,s2128,s2130,s3624,s3545,s4660,s4073,s3683,s1143,s618,s2637,s881]) ).
cnf(s4662,plain,
( spl2_19
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s3397,s4290,s4470,s907,s4661,s3642,s4472,s4545,s4334,s3423,s605,s4659,s4658,s3966,s2593,s1048,s4656,s870,s4464,s24,s847,s881,s4499,s4644,s3942]) ).
cnf(s4663,plain,
( ~ spl2_47
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4646,s594,s2352]) ).
cnf(s4664,plain,
( ~ spl2_196
| ~ spl2_201
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s2586,s2443,s4054,s4055,s3397,s1374,s770,s1601,s4649,s847,s1625,s4472,s4645,s461,s3123,s1470,s4499,s3942,s4644,s4652,s574,s4663,s4662,s4659]) ).
cnf(s4665,plain,
( ~ spl2_201
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s2586,s3676,s4054,s4056,s3706,s3835,s1168,s4503,s3258,s2400,s2402,s4547,s907,s4664,s4601,s3966,s4652,s3123,s4659,s1470,s847,s4499,s4644,s3942,s574,s4663,s4662]) ).
cnf(s4666,plain,
( spl2_219
| spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4487,s4477,s3816,s3642,s2076,s3847,s4472,s4545,s3998,s2056,s4334,s3423,s4652,s881,s4499,s3942,s574,s4662,s679,s4663,s4644,s605,s4665]) ).
cnf(s4667,plain,
( spl2_200
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s492,s4544,s4599,s1586,s2236,s3943,s4471,s4469,s2680,s1175,s2593,s3966,s4666,s605,s679,s4665,s4663,s4662,s4499,s589,s4644,s3942]) ).
cnf(s4668,plain,
( spl2_19
| ~ spl2_398
| ~ spl2_148
| spl2_198
| ~ spl2_414
| ~ spl2_386
| spl2_130
| spl2_219
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s723,s4035,s3824,s4619,s1873,s1058,s20,s4054,s568,s1045,s4436,s4279,s2386,s2390,s4057,s4055,s2249,s4409,s2246,s3943,s4469,s447,s1331,s4464,s24,s847,s3942,s861,s4545,s2181,s679,s4611,s4667,s4644]) ).
cnf(s4669,plain,
( spl2_7
| spl2_130
| ~ spl2_201
| spl2_219
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4279,s568,s4057,s3845,s3672,s2504,s4538,s3028,s4469,s4422,s3859,s598,s4668,s3969,s713,s2918,s4201,s4544,s4545,s2470,s2181,s3346,s3431,s3839,s4537,s847,s3942,s4644,s2169,s4667,s861]) ).
cnf(s4670,plain,
( spl2_19
| spl2_139
| ~ spl2_7
| spl2_130
| spl2_219
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s3920,s4586,s907,s1595,s1593,s633,s538,s4056,s3672,s1168,s4358,s3543,s4471,s4345,s461,s2857,s4469,s20,s447,s43,s1331,s4585,s24,s847,s3942,s4644,s861,s356]) ).
cnf(s4671,plain,
( spl2_130
| ~ spl2_201
| spl2_219
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4345,s4469,s4471,s3404,s3543,s2354,s2370,s4612,s4054,s4525,s575,s2352,s574,s1625,s4670,s1408,s4669,s4537,s861,s4658,s847,s3942,s4644]) ).
cnf(s4672,plain,
( ~ spl2_201
| spl2_219
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4059,s1168,s1873,s4056,s2970,s2025,s3178,s4460,s3366,s4538,s3028,s3215,s4469,s4471,s3969,s907,s3943,s2786,s3998,s4201,s4649,s679,s4544,s4545,s4472,s4611,s2470,s2181,s4657,s3346,s3431,s3839,s713,s952,s1039,s2774,s1048,s4671,s4537,s2169,s4667,s861,s4658,s847,s3942,s4644]) ).
cnf(s4673,plain,
( spl2_198
| spl2_130
| spl2_219
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s1586,s3943,s4544,s4469,s3696,s3028,s4485,s4538,s3820,s1040,s3845,s4454,s3400,s4545,s3944,s3715,s2280,s767,s4471,s679,s2680,s4611,s4537,s847,s3942,s4644,s4667,s605,s4672]) ).
cnf(s4674,plain,
( spl2_130
| spl2_219
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4096,s1596,s3400,s4472,s4454,s3642,s3964,s4517,s4525,s2352,s574,s4670,s4609,s3346,s4673,s3942,s2169,s4667,s605,s4672]) ).
cnf(s4675,plain,
( ~ spl2_196
| spl2_127
| ~ spl2_139
| ~ spl2_79
| spl2_198
| spl2_29
| spl2_236 ),
inference(rat,[],[s3545,s4073,s3624,s4660,s3683,s1143,s618]) ).
cnf(s4676,plain,
( spl2_219
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s610,s3397,s2025,s4290,s4460,s907,s4675,s4545,s3400,s2340,s3700,s4471,s4591,s1150,s784,s45,s3549,s4585,s4464,s3366,s2504,s2076,s4538,s3028,s2637,s3642,s4469,s4472,s3943,s3998,s4631,s679,s4611,s881,s3346,s952,s2774,s1048,s4674,s605,s4672,s4658,s4537,s847,s3942,s4644,s2169,s4667]) ).
cnf(s4677,plain,
( ~ spl2_196
| ~ spl2_201
| ~ spl2_414
| spl2_7 ),
inference(rat,[],[s723,s3824,s4055,s4035,s1701,s2215,s2462,s2757,s3839,s4544,s2470]) ).
cnf(s4678,plain,
( ~ spl2_31
| ~ spl2_231
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4409,s4469,s3676,s3028,s2586,s4538,s4054,s2046,s1595,s3542,s4537,s847,s2630,s3942,s3431,s684,s4667,s2593,s3966,s4676,s647,s4644,s4056,s3397,s726]) ).
cnf(s4679,plain,
( ~ spl2_201
| spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4120,s3028,s4602,s4538,s3859,s2454,s2046,s24,s3549,s2182,s729,s3934,s4432,s4041,s4678,s4056,s3397,s726,s4547,s907,s4677,s4537,s847,s4644,s2630,s3942,s3431,s684,s4667,s2593,s3966,s4676]) ).
cnf(s4680,plain,
( ~ spl2_14
| ~ spl2_76
| spl2_201
| spl2_198
| ~ spl2_403
| ~ spl2_108 ),
inference(rat,[],[s3945,s2282,s4472,s4544,s4469,s3642,s3696,s3028,s4487,s4485,s4538,s4477,s3820,s2046,s2236]) ).
cnf(s4681,plain,
( spl2_95
| ~ spl2_73 ),
inference(rat,[],[s4279,s4057,s568,s729,s3845,s3549,s4680,s4545,s3944,s2280,s767,s4471,s2680,s605,s4679,s2593,s2630,s3966,s4676,s4537,s847,s3942,s4644]) ).
cnf(s4682,plain,
( spl2_200
| spl2_219
| spl2_130
| ~ spl2_73 ),
inference(rat,[],[s1322,s1336,s4419,s4570,s3413,s1175,s4635,s589,s4469,s1456,s4681]) ).
cnf(s4683,plain,
( spl2_219
| spl2_130
| ~ spl2_73 ),
inference(rat,[],[s912,s4055,s579,s3549,s651,s3404,s1624,s1045,s682,s2353,s1331,s20,s24,s40,s1625,s681,s4682,s447,s861,s4644,s4469,s1456,s4681]) ).
cnf(s4684,plain,
( spl2_130
| ~ spl2_73 ),
inference(rat,[],[s610,s3085,s651,s4436,s4419,s4054,s1322,s575,s1702,s1336,s4570,s3413,s1175,s589,s681,s1609,s4683,s4469,s1456,s4681]) ).
cnf(s4685,plain,
( spl2_198
| ~ spl2_88
| ~ spl2_73 ),
inference(rat,[],[s4107,s2023,s711,s3833,s3565,s2052,s2102,s4531,s3998,s4057,s679,s1336,s1177,s4642,s894,s3028,s881,s4644,s4469,s1456,s589,s681,s1048,s4684,s4681]) ).
cnf(s4687,plain,
( spl2_198
| ~ spl2_73 ),
inference(rat,[],[s4432,s907,s4041,s4056,s649,s650,s651,s1336,s4055,s4642,s4685,s3028,s4469,s1456,s4681]) ).
cnf(s4688,plain,
( ~ spl2_18
| ~ spl2_73 ),
inference(rat,[],[s4123,s4534,s575,s1336,s490,s3620,s907,s1716,s4073,s711,s4625,s4055,s4640,s4469,s1456,s589,s681,s4681,s3346,s2774,s3998,s678,s4687,s1048,s4684]) ).
cnf(s4689,plain,
( ~ spl2_196
| ~ spl2_73 ),
inference(rat,[],[s711,s4073,s4625,s1716,s649,s4469,s1456,s589,s681,s4681,s3346,s2774,s3998,s678,s4687,s1048,s4684]) ).
cnf(s4690,plain,
( ~ spl2_80
| ~ spl2_73 ),
inference(rat,[],[s575,s4054,s1336,s4436,s4432,s3085,s4041,s4056,s2031,s650,s651,s681,s1048,s4684,s4218,s8,s4688,s4681,s4644,s907,s4689]) ).
cnf(s4691,plain,
( spl2_47
| ~ spl2_73 ),
inference(rat,[],[s4531,s4057,s2052,s1336,s4055,s3833,s2023,s4073,s711,s4625,s3998,s678,s4687,s589,s2774,s4469,s1456,s4502,s4690,s681,s1048,s4684,s4681,s4689]) ).
cnf(s4692,plain,
~ spl2_73,
inference(rat,[],[s4123,s4534,s575,s4691,s3620,s4055,s4690,s4689]) ).
cnf(s4693,plain,
spl2_72,
inference(rat,[],[s4474,s4692]) ).
cnf(s4694,plain,
( spl2_104
| spl2_198
| spl2_200
| spl2_95 ),
inference(rat,[],[s4059,s1601,s3281,s3397,s4056,s3085,s998,s4073,s3966,s3333,s881,s4693]) ).
cnf(s4695,plain,
( spl2_108
| ~ spl2_104
| ~ spl2_219
| spl2_198
| ~ spl2_312
| spl2_95 ),
inference(rat,[],[s4538,s4537,s1835,s3081,s3847,s4133,s4475,s4033,s3966,s4693]) ).
cnf(s4696,plain,
( ~ spl2_196
| spl2_193
| spl2_100
| spl2_27
| spl2_238
| ~ spl2_75
| ~ spl2_219
| spl2_95 ),
inference(rat,[],[s1879,s3672,s2586,s4057,s2443,s3586,s4054,s4055,s3397,s3706,s3835,s1601,s618,s1609]) ).
cnf(s4697,plain,
( spl2_19
| spl2_130
| spl2_198
| spl2_200
| spl2_95 ),
inference(rat,[],[s1879,s3672,s4436,s490,s3620,s4054,s4055,s3706,s3835,s3258,s4547,s907,s4696,s870,s8,s24,s2394,s4503,s461,s4695,s4694,s3333,s881,s3262,s4469,s1175,s589,s4693]) ).
cnf(s4698,plain,
( spl2_130
| spl2_198
| spl2_200
| spl2_95 ),
inference(rat,[],[s2674,s3835,s4056,s4055,s4252,s4531,s4041,s4057,s579,s3672,s3549,s2046,s4538,s4537,s3081,s4697,s461,s2394,s4469,s1175,s589,s3966,s4695,s4694,s3333,s881,s3262,s4693]) ).
cnf(s4699,plain,
( spl2_170
| ~ spl2_169
| ~ spl2_13
| ~ spl2_194
| spl2_220
| spl2_231
| ~ spl2_404
| spl2_95 ),
inference(rat,[],[s3884,s4003,s4549,s4562,s3524,s3523,s4577,s788,s3834]) ).
cnf(s4700,plain,
( ~ spl2_196
| ~ spl2_80
| ~ spl2_12
| spl2_198
| spl2_200
| spl2_95 ),
inference(rat,[],[s446,s3983,s4562,s4549,s4003,s3991,s1043,s2984,s630,s526,s4699,s418,s5,s930,s13,s4565,s2773,s2979,s4436,s4237,s2025,s3085,s314,s4054,s4056,s1177,s20,s1374,s3397,s3833,s3683,s3835,s3623,s1601,s618,s876,s589,s1609,s3966,s2023,s894,s4469,s2600,s3998,s679,s4695,s4694,s4642,s3262,s4698,s3333,s881,s4693]) ).
cnf(s4701,plain,
( ~ spl2_194
| spl2_196
| ~ spl2_80
| spl2_19
| ~ spl2_108
| ~ spl2_104
| ~ spl2_219
| ~ spl2_202
| spl2_95 ),
inference(rat,[],[s555,s579,s4056,s3549,s3397,s2031,s4441,s8,s4464]) ).
cnf(s4702,plain,
( ~ spl2_80
| spl2_19
| spl2_198
| spl2_200
| spl2_95 ),
inference(rat,[],[s3835,s4456,s608,s3281,s4056,s2025,s4460,s3366,s4538,s4537,s4701,s907,s4700,s589,s3966,s3998,s679,s4695,s4694,s3333,s881,s4642,s3262,s4698,s24,s4464,s4693]) ).
cnf(s4703,plain,
( spl2_19
| spl2_198
| spl2_200
| spl2_95 ),
inference(rat,[],[s555,s2052,s618,s4056,s3833,s3281,s1177,s4055,s4702,s8,s589,s1609,s3966,s2023,s894,s4469,s2600,s3998,s679,s4695,s4694,s4642,s3262,s4698,s3333,s881,s4693]) ).
cnf(s4704,plain,
( spl2_198
| spl2_200
| spl2_95 ),
inference(rat,[],[s2007,s4538,s3081,s2076,s4703,s3998,s4698,s679,s4695,s4694,s3966,s3333,s881,s4642,s3262,s4693]) ).
cnf(s4705,plain,
( ~ spl2_80
| ~ spl2_81
| spl2_375
| ~ spl2_106
| ~ spl2_388
| spl2_225
| ~ spl2_139
| spl2_14
| ~ spl2_194
| ~ spl2_85
| spl2_130
| spl2_108
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s3427,s3944,s4395,s993,s568,s3906,s3909,s3124,s3637,s3971,s1227,s4565,s1585,s4549,s2634,s833,s4568,s1043,s1907,s2816,s4003,s4562,s3086,s3142,s821,s17,s4198,s1712,s2653,s219,s4054,s912,s3706,s604,s4581,s589,s3834,s3672,s3346,s4609,s1714,s4704,s1046,s4033,s4693]) ).
cnf(s4706,plain,
( ~ spl2_194
| ~ spl2_196
| spl2_130
| spl2_108
| ~ spl2_12
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s3397,s730,s2443,s3580,s4055,s4705,s1870,s1046,s4073,s1689,s1716,s3943,s2757,s3346,s618,s678,s4609,s2918,s4349,s3672,s1879,s4704,s4033,s3186,s4469,s3974,s265,s861,s4693]) ).
cnf(s4707,plain,
( ~ spl2_267
| spl2_268
| spl2_130
| spl2_108
| ~ spl2_12
| ~ spl2_129
| ~ spl2_198 ),
inference(rat,[],[s2918,s4349,s678,s3672,s3366,s2047,s3186,s265,s4693]) ).
cnf(s4708,plain,
( ~ spl2_80
| ~ spl2_79
| spl2_93
| ~ spl2_390
| spl2_225
| ~ spl2_257
| ~ spl2_139
| spl2_103
| ~ spl2_100
| spl2_196
| spl2_19
| spl2_219
| spl2_200 ),
inference(rat,[],[s713,s3969,s3427,s1873,s756,s3545,s4456,s4073,s3835,s4437,s4464,s2918]) ).
cnf(s4709,plain,
( ~ spl2_201
| spl2_252
| spl2_7
| ~ spl2_139
| spl2_14
| spl2_267
| ~ spl2_85
| spl2_108
| ~ spl2_198
| spl2_200 ),
inference(rat,[],[s3905,s4471,s568,s3714,s4395,s3839,s2007,s4538,s3262,s3346,s4693]) ).
cnf(s4710,plain,
( spl2_130
| spl2_108
| spl2_19
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s3427,s1193,s4709,s923,s2539,s3833,s4502,s4708,s4472,s4177,s2653,s4041,s3346,s4054,s730,s4609,s680,s2674,s3397,s4349,s4470,s3146,s3672,s45,s4706,s1879,s3834,s2007,s4538,s4707,s4558,s4469,s3186,s3974,s265,s3262,s4704,s861,s24,s4585,s4693]) ).
cnf(s4711,plain,
( ~ spl2_201
| spl2_93
| ~ spl2_81
| ~ spl2_388
| ~ spl2_390 ),
inference(rat,[],[s3545,s4472,s1701,s3051]) ).
cnf(s4712,plain,
( ~ spl2_80
| ~ spl2_196
| ~ spl2_194
| ~ spl2_130
| spl2_108
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s1283,s3124,s3944,s1352,s3427,s605,s4711,s3971,s3465,s4546,s3142,s3646,s3536,s17,s4562,s1712,s3086,s730,s821,s1475,s3397,s4198,s3236,s2653,s4054,s3706,s4581,s618,s1048,s1714,s1689,s2757,s4073,s1716,s3346,s906,s4704,s4693]) ).
cnf(s4713,plain,
( ~ spl2_196
| ~ spl2_194
| ~ spl2_130
| spl2_108
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s3397,s730,s2443,s3580,s4055,s4712,s1870,s1046,s4073,s1716,s4033,s3346,s906,s4704,s4693]) ).
cnf(s4714,plain,
( ~ spl2_85
| spl2_14
| ~ spl2_80
| spl2_93
| ~ spl2_257
| spl2_196
| ~ spl2_130
| spl2_19
| spl2_219
| ~ spl2_198
| spl2_200 ),
inference(rat,[],[s3945,s4544,s713,s4201,s3427,s4545,s2356,s756,s3545,s4708,s4472,s4177,s3672,s861,s1048,s3346,s906,s3146,s4073,s2023,s3833,s4456,s3835,s4464,s608,s4470]) ).
cnf(s4715,plain,
( ~ spl2_80
| spl2_93
| spl2_196
| ~ spl2_194
| ~ spl2_130
| spl2_19
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s4085,s4201,s3945,s3969,s4545,s2356,s1873,s756,s3545,s4472,s3051,s713,s4287,s4714,s4073,s2023,s3833,s4456,s3835,s608,s2031,s861,s4464,s1048,s3346,s906,s4704,s3397,s4470]) ).
cnf(s4716,plain,
( ~ spl2_194
| spl2_108
| spl2_19
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s2023,s3833,s4073,s2104,s1046,s490,s3580,s4502,s4055,s4715,s2653,s4054,s730,s680,s3397,s4470,s907,s4713,s3834,s8,s4033,s4710,s4693]) ).
cnf(s4717,plain,
( spl2_108
| spl2_19
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s734,s4041,s4437,s604,s4636,s4469,s4558,s3672,s3366,s2047,s4057,s4538,s4267,s3268,s4537,s4716,s3346,s678,s906,s1048,s4710,s4033,s3262,s4704,s4693]) ).
cnf(s4718,plain,
( spl2_130
| ~ spl2_108
| ~ spl2_12
| spl2_219
| spl2_200 ),
inference(rat,[],[s4537,s1879,s4538,s3672,s3366,s461,s4558,s4469,s447,s3186,s448,s265,s356,s861,s679,s4642,s3262,s4693]) ).
cnf(s4719,plain,
( ~ spl2_201
| ~ spl2_196
| ~ spl2_390
| spl2_7 ),
inference(rat,[],[s4101,s761,s4472,s2462,s4711,s3051,s3839,s2757,s4073,s1716]) ).
cnf(s4720,plain,
( ~ spl2_85
| spl2_201
| ~ spl2_37
| spl2_375
| spl2_34
| ~ spl2_45
| spl2_14
| ~ spl2_80
| spl2_219
| spl2_200 ),
inference(rat,[],[s1193,s3427,s3142,s17,s1712,s604,s3672]) ).
cnf(s4721,plain,
( ~ spl2_196
| ~ spl2_80
| ~ spl2_194
| spl2_19
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s3854,s3505,s4035,s993,s2317,s3944,s4544,s4545,s4471,s491,s3423,s4720,s1150,s605,s4719,s4054,s1689,s1714,s3706,s3835,s3623,s2757,s618,s876,s8,s679,s4642,s3262,s1048,s3346,s887,s4718,s24,s4717,s4704,s4581,s45,s2031,s4585,s4693]) ).
cnf(s4722,plain,
( ~ spl2_280
| ~ spl2_252
| ~ spl2_136
| spl2_96
| ~ spl2_194
| spl2_95 ),
inference(rat,[],[s3909,s833,s3124,s1043,s1283,s4003]) ).
cnf(s4723,plain,
( ~ spl2_183
| ~ spl2_184
| ~ spl2_392
| ~ spl2_93
| ~ spl2_390
| spl2_219
| spl2_200 ),
inference(rat,[],[s4088,s406,s1717,s2533,s821,s823,s3086]) ).
cnf(s4724,plain,
( ~ spl2_121
| ~ spl2_392
| ~ spl2_238
| spl2_96
| ~ spl2_93
| ~ spl2_194
| ~ spl2_390
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s3124,s3906,s4722,s1283,s2816,s4562,s4723,s568,s993,s3944,s4545,s2901,s4201,s4544,s2317,s2539,s861,s3834]) ).
cnf(s4725,plain,
( ~ spl2_80
| ~ spl2_194
| spl2_19
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s4287,s4177,s3051,s4472,s761,s4035,s4724,s3833,s4456,s3835,s608,s3397,s1745,s4715,s4470,s3146,s4721,s4464,s3346,s887,s4718,s24,s4717,s4704]) ).
cnf(s4726,plain,
( ~ spl2_194
| spl2_19
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s1870,s4073,s2443,s579,s680,s4531,s3586,s4057,s3549,s3672,s1879,s461,s4469,s4634,s4055,s4725,s3834,s589,s4704,s8,s870,s887,s4718,s24,s4717,s4693]) ).
cnf(s4727,plain,
( ~ spl2_196
| ~ spl2_80
| ~ spl2_45
| spl2_14
| ~ spl2_130
| ~ spl2_108
| ~ spl2_222
| ~ spl2_18
| spl2_219
| ~ spl2_198
| spl2_200 ),
inference(rat,[],[s761,s3545,s4472,s752,s3505,s3854,s4035,s2356,s2317,s3945,s4544,s4471,s491,s4720,s4054,s1150,s3700,s605,s4073,s1689,s1714,s3706,s3835,s3623,s4719,s1716,s2757,s618,s876,s679,s4642,s3262,s1048,s3346,s887,s4591,s784,s3549,s4581,s4693]) ).
cnf(s4728,plain,
( ~ spl2_121
| ~ spl2_392
| ~ spl2_238
| spl2_184
| ~ spl2_129 ),
inference(rat,[],[s4085,s2901,s2317,s2539]) ).
cnf(s4729,plain,
( ~ spl2_85
| ~ spl2_117
| ~ spl2_257
| spl2_196
| ~ spl2_80
| spl2_14
| ~ spl2_390
| ~ spl2_130
| spl2_19
| spl2_219
| ~ spl2_198
| spl2_200 ),
inference(rat,[],[s761,s4472,s4714,s4177]) ).
cnf(s4730,plain,
( spl2_19
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s3945,s2356,s4544,s3545,s3829,s761,s2365,s4472,s3051,s713,s4287,s4729,s4035,s4728,s4073,s2023,s3833,s4456,s3835,s608,s3397,s4470,s4727,s4634,s4469,s4558,s45,s3366,s2047,s4538,s1331,s4537,s4726,s3346,s887,s1048,s4718,s679,s4717,s4585,s4464,s8,s24,s4642,s3262,s4704,s861,s4693]) ).
cnf(s4731,plain,
( ~ spl2_196
| ~ spl2_75
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s4118,s3052,s756,s2943,s3397,s492,s3236,s4544,s2653,s4181,s4054,s568,s3706,s993,s3835,s4581,s2128,s3944,s4055,s4545,s912,s3423,s1046,s514,s605,s4073,s3542,s4719,s1716,s618,s3076,s589,s3346,s574,s4642,s3943,s4033,s3549,s1879,s2007,s4538,s3366,s4558,s678,s1625,s3262,s595,s4730,s4704,s4693]) ).
cnf(s4732,plain,
( ~ spl2_80
| ~ spl2_75
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s4118,s3052,s756,s2128,s2943,s3427,s3424,s4628,s4073,s4181,s2394,s3835,s574,s3943,s3146,s2674,s568,s4173,s4642,s514,s730,s3397,s2653,s4054,s680,s4470,s4731,s3834,s3549,s1879,s2007,s4538,s3366,s4558,s678,s1625,s3262,s595,s4730,s4704,s4693]) ).
cnf(s4733,plain,
( spl2_127
| spl2_156
| spl2_398
| spl2_184
| ~ spl2_129 ),
inference(rat,[],[s4085,s2901,s3945,s3969]) ).
cnf(s4734,plain,
( spl2_130
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s3427,s2130,s713,s4733,s994,s3654,s4138,s4472,s4177,s4057,s4158,s4732,s4041,s568,s730,s680,s4173,s3397,s4470,s3146,s4731,s4033,s3549,s1879,s3834,s2007,s4538,s3366,s4558,s4469,s447,s448,s356,s861,s595,s678,s1625,s3346,s574,s4730,s4642,s3262,s4704,s4693]) ).
cnf(s4735,plain,
( ~ spl2_80
| spl2_108
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s3427,s756,s4628,s4073,s2023,s3833,s4472,s4457,s4177,s4057,s3567,s687,s4469,s3835,s4732,s608,s3346,s574,s4642,s4033,s3146,s3397,s2653,s4054,s680,s4470,s4713,s3834,s2007,s4538,s2076,s3998,s4734,s678,s1625,s4704,s4730,s3262,s4693]) ).
cnf(s4736,plain,
( spl2_108
| spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s2023,s3833,s4073,s2104,s1046,s4057,s3580,s4502,s4158,s4055,s4735,s4041,s730,s680,s3397,s4470,s4713,s4033,s3834,s2007,s4538,s2076,s3998,s4734,s678,s1625,s4704,s4730,s3262,s4693]) ).
cnf(s4737,plain,
( spl2_219
| spl2_200
| spl2_95 ),
inference(rat,[],[s591,s4531,s2104,s2052,s4470,s3833,s1716,s2023,s4073,s711,s1177,s4625,s4419,s4055,s4469,s2031,s1879,s3549,s4736,s2007,s4538,s2076,s3998,s4734,s3346,s678,s595,s574,s1625,s4730,s589,s4642,s3262,s4704,s4693]) ).
cnf(s4738,plain,
( ~ spl2_196
| ~ spl2_390
| ~ spl2_80
| spl2_108
| ~ spl2_12
| ~ spl2_219
| spl2_95 ),
inference(rat,[],[s4235,s4041,s3268,s604,s2773,s3672,s3706,s1593,s4054,s2653,s3933,s1046,s3236,s4056,s4073,s3397,s1716,s618,s1601,s1609,s4033,s624,s4693]) ).
cnf(s4739,plain,
( ~ spl2_194
| spl2_196
| ~ spl2_80
| ~ spl2_84
| spl2_19
| spl2_130
| spl2_200
| spl2_95 ),
inference(rat,[],[s2394,s4073,s4469,s1046,s3413,s3933,s4570,s3672,s3835,s604,s2052,s555,s4056,s3397,s2031,s4441,s589,s4642,s3262,s4737,s8,s4464,s4693]) ).
cnf(s4740,plain,
( ~ spl2_80
| spl2_108
| spl2_19
| spl2_130
| spl2_200
| spl2_95 ),
inference(rat,[],[s734,s4041,s4437,s604,s3672,s2047,s4057,s4538,s4267,s3268,s4537,s4739,s4738,s3346,s624,s3262,s4704,s4737,s24,s4033,s4693]) ).
cnf(s4741,plain,
( ~ spl2_196
| ~ spl2_88
| spl2_130
| spl2_200
| spl2_95 ),
inference(rat,[],[s451,s4570,s447,s3413,s1606,s3346,s1716,s1737,s4073,s1870,s2443,s3397,s1601,s589,s4704,s4737,s448,s356,s4693]) ).
cnf(s4742,plain,
( ~ spl2_139
| ~ spl2_392
| ~ spl2_401
| ~ spl2_412 ),
inference(rat,[],[s1871,s4035,s4545,s2539,s2527]) ).
cnf(s4743,plain,
( spl2_108
| spl2_19
| spl2_130
| spl2_200
| spl2_95 ),
inference(rat,[],[s4119,s1586,s3892,s4544,s295,s3260,s4742,s3833,s2052,s3943,s555,s4469,s2443,s4056,s3413,s3281,s660,s4502,s907,s4741,s4055,s4740,s589,s4642,s3262,s3966,s678,s1609,s4737,s4704,s356,s24,s8,s4693]) ).
cnf(s4744,plain,
( ~ spl2_194
| spl2_201
| ~ spl2_80
| spl2_19
| spl2_130
| spl2_200
| spl2_95 ),
inference(rat,[],[s3924,s4471,s1518,s1150,s4545,s45,s4476,s2031,s3834,s589,s3966,s4737,s4585,s4743,s605]) ).
cnf(s4745,plain,
( ~ spl2_196
| ~ spl2_80
| spl2_19
| spl2_130
| spl2_200
| spl2_95 ),
inference(rat,[],[s4101,s761,s3689,s4472,s1058,s752,s4454,s3924,s4471,s1150,s45,s3549,s2047,s4054,s4538,s4436,s4537,s4744,s3085,s3236,s4056,s605,s4073,s3397,s4719,s1716,s618,s1601,s3262,s1609,s4585,s4743,s3346,s624,s4737,s4704,s4693]) ).
cnf(s4746,plain,
( ~ spl2_194
| spl2_196
| ~ spl2_80
| ~ spl2_108
| ~ spl2_222
| ~ spl2_18
| spl2_200
| spl2_95 ),
inference(rat,[],[s647,s3542,s2025,s555,s4056,s3397,s2031,s4441,s589,s3262,s4737,s907,s4693]) ).
cnf(s4747,plain,
( ~ spl2_220
| spl2_196
| ~ spl2_80
| ~ spl2_222
| ~ spl2_412
| spl2_200 ),
inference(rat,[],[s3835,s4456,s608,s3281]) ).
cnf(s4748,plain,
( ~ spl2_80
| spl2_19
| spl2_130
| spl2_200
| spl2_95 ),
inference(rat,[],[s647,s3542,s2025,s555,s4056,s4747,s2047,s4538,s4537,s4746,s907,s4745,s589,s3262,s4704,s3966,s4737,s8,s4464,s4743,s4693]) ).
cnf(s4749,plain,
( spl2_19
| spl2_130
| spl2_200
| spl2_95 ),
inference(rat,[],[s2007,s4538,s1879,s2046,s3542,s647,s4469,s2025,s555,s3413,s4056,s660,s3281,s907,s1657,s4741,s4055,s4748,s4743,s8,s589,s3262,s3966,s4737,s4693]) ).
cnf(s4750,plain,
( ~ spl2_19
| spl2_200
| spl2_95 ),
inference(rat,[],[s4133,s4033,s3847,s3549,s2047,s4538,s4537,s3081,s595,s3262,s4704,s3966,s4737,s4693]) ).
cnf(s4751,plain,
( ~ spl2_80
| spl2_108
| spl2_200
| spl2_95 ),
inference(rat,[],[s4456,s3835,s2102,s2052,s2025,s555,s4056,s4747,s907,s4738,s589,s4642,s3262,s3966,s24,s8,s4464,s3998,s678,s1609,s4737,s3346,s906,s4749,s4750,s4704,s4693]) ).
cnf(s4752,plain,
( spl2_80
| ~ spl2_74
| ~ spl2_404
| spl2_7
| ~ spl2_412
| ~ spl2_198
| ~ spl2_312
| ~ spl2_202 ),
inference(rat,[],[s907,s2025,s1716,s4056,s4073,s2102,s3281,s711,s1177,s4625,s4419,s4055,s3346]) ).
cnf(s4753,plain,
( ~ spl2_194
| ~ spl2_196
| spl2_200
| spl2_95 ),
inference(rat,[],[s752,s4472,s3505,s761,s3851,s4035,s2317,s3424,s3969,s3700,s4054,s4545,s4591,s3706,s3549,s4476,s788,s2773,s2031,s3834,s4642,s4464,s4751,s3835,s618,s4752,s3966,s3262,s4260,s4719,s589,s3236,s314,s2451,s1870,s4073,s1716,s3346,s906,s4056,s3397,s1601,s4469,s2600,s3998,s4749,s4750,s678,s1609,s4704,s4737,s4693]) ).
cnf(s4754,plain,
( ~ spl2_196
| spl2_200
| spl2_95 ),
inference(rat,[],[s4570,s2979,s3672,s4565,s604,s3955,s514,s3128,s3039,s4010,s568,s752,s4472,s761,s4035,s3945,s2317,s437,s3424,s440,s3969,s3700,s4471,s4591,s1150,s1071,s45,s3549,s3706,s2047,s4054,s4538,s4436,s4537,s4753,s4237,s314,s219,s2451,s3085,s3236,s1870,s4056,s4260,s4073,s3835,s3397,s4719,s1716,s618,s1601,s4642,s24,s4464,s4585,s3346,s4751,s4752,s4469,s2600,s3998,s678,s1609,s906,s4749,s4750,s3966,s4737,s4704,s3262,s589,s4693]) ).
cnf(s4755,plain,
( spl2_200
| spl2_95 ),
inference(rat,[],[s647,s3542,s2047,s2025,s555,s4538,s4056,s4537,s4747,s4746,s907,s4754,s4751,s4752,s4469,s2600,s3998,s906,s4749,s4464,s8,s4750,s678,s3966,s1609,s4737,s4704,s3262,s589,s4693]) ).
cnf(s4756,plain,
( spl2_19
| spl2_219
| ~ spl2_7
| ~ spl2_196
| ~ spl2_80
| spl2_108 ),
inference(rat,[],[s2317,s3835,s3856,s608,s4472,s4056,s2917,s538,s3943,s633,s1586,s1593,s2857,s4471,s3672,s20,s3892,s3186,s43,s295,s265,s4349,s4585,s24,s4469,s447,s4544,s2901,s448,s356,s906,s881,s3185,s4488,s453,s4609,s4693]) ).
cnf(s4757,plain,
( ~ spl2_196
| ~ spl2_80
| spl2_108
| ~ spl2_200 ),
inference(rat,[],[s2342,s4471,s2370,s1586,s4054,s3835,s3943,s575,s2352,s618,s678,s574,s1625,s4756,s4544,s4469,s2901,s447,s448,s356,s906,s881,s4609,s3185,s453,s684,s3431,s2215,s4488,s4693]) ).
cnf(s4758,plain,
( ~ spl2_238
| ~ spl2_85
| spl2_196
| ~ spl2_200 ),
inference(rat,[],[s4457,s3233]) ).
cnf(s4759,plain,
( spl2_219
| ~ spl2_198
| ~ spl2_12
| spl2_130
| spl2_196
| ~ spl2_80
| ~ spl2_200 ),
inference(rat,[],[s3943,s678,s2246,s4556,s3431,s3672,s4525,s604,s3956,s2052,s4586,s3920,s4056,s608,s3835,s4758,s2249,s3186,s4469,s265,s447,s861,s907,s448,s356,s4693]) ).
cnf(s4760,plain,
( ~ spl2_220
| ~ spl2_219
| ~ spl2_222
| spl2_196
| ~ spl2_80
| ~ spl2_84
| spl2_95 ),
inference(rat,[],[s591,s4457,s4267,s3835,s4441,s3281,s608,s3397,s3966,s4693]) ).
cnf(s4761,plain,
( ~ spl2_78
| spl2_126
| spl2_142
| spl2_47
| ~ spl2_390
| ~ spl2_222 ),
inference(rat,[],[s3700,s3052,s3051]) ).
cnf(s4762,plain,
( ~ spl2_201
| ~ spl2_187
| ~ spl2_132
| ~ spl2_183
| ~ spl2_191
| ~ spl2_414
| spl2_29
| spl2_96 ),
inference(rat,[],[s2903,s2297,s3128,s960,s4544,s3828,s2470,s713]) ).
cnf(s4763,plain,
( ~ spl2_139
| ~ spl2_183
| ~ spl2_191
| spl2_142
| spl2_47
| spl2_192
| ~ spl2_390
| ~ spl2_414
| ~ spl2_412
| spl2_29
| spl2_96
| ~ spl2_198
| ~ spl2_222
| ~ spl2_84
| ~ spl2_200 ),
inference(rat,[],[s2903,s2297,s3128,s960,s4544,s3828,s3945,s3700,s4762,s3929,s4472,s4761,s4545,s2527,s2943,s3968]) ).
cnf(s4764,plain,
( spl2_225
| ~ spl2_91
| spl2_7
| ~ spl2_412
| spl2_29
| ~ spl2_198
| ~ spl2_222
| ~ spl2_12
| ~ spl2_138
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s4118,s1243,s3904,s4554,s1040,s3839,s3715,s3714,s4471,s3892,s295,s4763,s4562,s2816,s3562,s4565,s3567,s687,s3229,s4469,s4591,s3683,s2394,s788,s4073,s3834,s1702,s1046,s1875,s4267,s3933,s4057,s4457,s3233,s3835,s4033,s1745,s3146,s4757,s678,s3431,s4755,s3346,s4693]) ).
cnf(s4765,plain,
( ~ spl2_75
| spl2_417
| ~ spl2_414
| spl2_105
| spl2_130 ),
inference(rat,[],[s2246,s3943]) ).
cnf(s4766,plain,
( ~ spl2_139
| ~ spl2_100
| ~ spl2_265
| ~ spl2_194
| ~ spl2_225
| spl2_7
| ~ spl2_412
| spl2_29
| spl2_19
| ~ spl2_80
| spl2_108
| ~ spl2_200 ),
inference(rat,[],[s4050,s4763,s2816,s2658,s4546,s1777,s4467,s2970,s3642,s3839,s4392,s4472,s4761,s2943,s4033,s907,s1745,s3146,s4757,s3431,s3443,s4591,s788,s4464,s734,s4437,s3346,s4475,s4041,s2052,s1702]) ).
cnf(s4767,plain,
( ~ spl2_194
| ~ spl2_91
| spl2_7
| ~ spl2_412
| spl2_29
| spl2_19
| ~ spl2_138
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s3714,s4471,s3839,s3892,s4550,s295,s4766,s3672,s3443,s4432,s4591,s4041,s788,s2052,s1624,s3834,s1702,s907,s4757,s4755,s4764,s4475,s4464,s24]) ).
cnf(s4768,plain,
( ~ spl2_201
| ~ spl2_139
| ~ spl2_47
| spl2_194
| spl2_7
| ~ spl2_412
| spl2_29
| spl2_96
| ~ spl2_198
| ~ spl2_12
| ~ spl2_138
| spl2_108
| ~ spl2_200 ),
inference(rat,[],[s2903,s2297,s3128,s4562,s1932,s3538,s3946,s4452,s4565,s3995,s3970,s3992,s4549,s3947,s432,s4319,s568,s4544,s3969,s4262,s2470,s713,s4033,s3431,s594,s4515,s4537,s4545,s2527,s4693]) ).
cnf(s4769,plain,
( ~ spl2_139
| ~ spl2_74
| ~ spl2_47
| ~ spl2_31
| spl2_194
| spl2_7
| ~ spl2_412
| spl2_29
| spl2_96
| ~ spl2_198
| ~ spl2_12
| ~ spl2_138
| ~ spl2_24
| spl2_108
| ~ spl2_200 ),
inference(rat,[],[s446,s3983,s4549,s4562,s3992,s2623,s3970,s2905,s3737,s3447,s3124,s2229,s4015,s3052,s3128,s4472,s4012,s3642,s605,s4768,s2943,s4517,s2352,s4513,s2965,s594,s4693]) ).
cnf(s4770,plain,
( spl2_19
| spl2_130
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s3714,s4471,s3839,s3892,s4550,s295,s4769,s3443,s4591,s4469,s2183,s4765,s2052,s2249,s4041,s4057,s3934,s4267,s4767,s4764,s4056,s4760,s3431,s678,s684,s3966,s1609,s4759,s1745,s3146,s2182,s4475,s4464,s24,s4033,s907,s4757,s4755,s356,s4693]) ).
cnf(s4771,plain,
( spl2_225
| spl2_27
| ~ spl2_265
| ~ spl2_75
| ~ spl2_80
| spl2_108
| ~ spl2_200 ),
inference(rat,[],[s3236,s2653,s4073,s4054,s2394,s4574,s3706,s3835,s4757,s4693]) ).
cnf(s4772,plain,
( ~ spl2_194
| ~ spl2_75
| spl2_219
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s3920,s4586,s4056,s2052,s608,s4771,s2773,s3834,s1702,s907,s4757,s4755]) ).
cnf(s4773,plain,
( spl2_219
| spl2_130
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s4586,s3920,s3956,s4056,s4482,s608,s3431,s3835,s4765,s3672,s4758,s2249,s4057,s4267,s4772,s678,s4469,s881,s447,s3185,s861,s4488,s4033,s907,s4757,s448,s356,s1625,s598,s4770,s4755,s4693]) ).
cnf(s4774,plain,
( spl2_104
| spl2_220
| ~ spl2_192
| ~ spl2_14
| spl2_108 ),
inference(rat,[],[s4123,s1595,s2653,s4041,s3236,s734,s4073,s4693]) ).
cnf(s4775,plain,
( ~ spl2_280
| ~ spl2_265
| spl2_7
| ~ spl2_412
| ~ spl2_200 ),
inference(rat,[],[s3970,s4439,s3328]) ).
cnf(s4776,plain,
( ~ spl2_149
| ~ spl2_183
| ~ spl2_148
| ~ spl2_132 ),
inference(rat,[],[s2903,s2297]) ).
cnf(s4779,plain,
( ~ spl2_294
| spl2_335
| spl2_472
| ~ spl2_386
| ~ spl2_201 ),
inference(rat,[],[s3810,s3796,s3879]) ).
cnf(s4780,plain,
( ~ spl2_288
| ~ spl2_293
| spl2_335
| ~ spl2_181
| ~ spl2_390
| ~ spl2_104
| ~ spl2_24 ),
inference(rat,[],[s1121,s2973,s2422,s3951,s3471]) ).
cnf(s4783,plain,
( ~ spl2_296
| ~ spl2_432
| ~ spl2_148
| ~ spl2_132 ),
inference(rat,[],[s2899,s3748]) ).
cnf(s4784,plain,
( ~ spl2_295
| ~ spl2_120
| ~ spl2_181
| spl2_472
| ~ spl2_201
| spl2_103
| ~ spl2_225
| spl2_7
| ~ spl2_24 ),
inference(rat,[],[s3908,s2973,s1239,s1121,s3494,s3156,s3961,s4779,s3495,s3918,s3839]) ).
cnf(s4785,plain,
( ~ spl2_117
| spl2_246
| spl2_472
| ~ spl2_201
| ~ spl2_132
| spl2_103
| spl2_220
| ~ spl2_225
| ~ spl2_219
| ~ spl2_24
| spl2_95 ),
inference(rat,[],[s3156,s1121,s4779,s3967,s2973,s3891,s3759,s3908,s2629,s1239,s4783,s1998,s2298,s3159,s4784,s3851,s3839,s4544,s2470,s3431,s684,s4755,s3198]) ).
cnf(s4787,plain,
( ~ spl2_295
| ~ spl2_181
| ~ spl2_201
| ~ spl2_390
| spl2_103
| ~ spl2_104
| ~ spl2_192
| ~ spl2_14
| spl2_7
| ~ spl2_24 ),
inference(rat,[],[s987,s3784,s1273,s4486,s4566,s1121,s4780,s3156,s3961,s4779,s3495,s3918,s3839,s2965,s2454,s3878,s568,s1351,s4472,s3051]) ).
cnf(s4788,plain,
( ~ spl2_201
| ~ spl2_132
| ~ spl2_390
| spl2_103
| ~ spl2_104
| ~ spl2_225
| ~ spl2_192
| ~ spl2_14
| ~ spl2_219
| ~ spl2_24
| spl2_95 ),
inference(rat,[],[s1121,s3156,s4486,s4779,s3967,s3786,s3891,s3759,s2629,s4783,s3159,s4787,s3198,s2106,s3878,s568,s1351,s4544,s4472,s2965,s2470,s3051,s2454,s3839,s3431,s684,s4755]) ).
cnf(s4791,plain,
( ~ spl2_146
| ~ spl2_183
| ~ spl2_74 ),
inference(rat,[],[s446,s3983,s4693]) ).
cnf(s4792,plain,
( ~ spl2_145
| ~ spl2_252
| ~ spl2_127
| ~ spl2_199
| ~ spl2_132
| spl2_47
| spl2_96
| ~ spl2_198
| spl2_7
| ~ spl2_219 ),
inference(rat,[],[s3971,s2618,s947,s4565,s833,s3995,s3909,s2911,s1352,s3124,s3970,s1939,s3992]) ).
cnf(s4793,plain,
( ~ spl2_139
| spl2_47
| ~ spl2_74
| spl2_103
| ~ spl2_198
| ~ spl2_104
| ~ spl2_225
| ~ spl2_192
| ~ spl2_14
| ~ spl2_219
| ~ spl2_19
| ~ spl2_24
| spl2_95 ),
inference(rat,[],[s2905,s3124,s2623,s4013,s4562,s4791,s4549,s4792,s3985,s4454,s568,s1877,s4605,s605,s4788,s4545,s2527,s4537,s3081,s3966,s3346,s684,s4755,s1745]) ).
cnf(s4794,plain,
( ~ spl2_201
| ~ spl2_390
| spl2_103
| ~ spl2_104
| ~ spl2_225
| ~ spl2_192
| ~ spl2_14
| ~ spl2_219
| ~ spl2_24
| spl2_95 ),
inference(rat,[],[s4096,s2181,s4788,s3839,s684,s4755]) ).
cnf(s4795,plain,
( ~ spl2_246
| ~ spl2_22
| spl2_201
| ~ spl2_225
| ~ spl2_85
| ~ spl2_14
| spl2_194
| spl2_130
| ~ spl2_80 ),
inference(rat,[],[s3985,s923,s4545,s2231,s2130,s3945,s4544,s3696,s4485,s3820,s4471,s568,s3924,s2106,s2356,s4455,s4537,s605]) ).
cnf(s4796,plain,
( ~ spl2_389
| ~ spl2_74
| ~ spl2_198
| ~ spl2_200 ),
inference(rat,[],[s4791,s4562,s4549,s3328,s3992]) ).
cnf(s4797,plain,
( ~ spl2_124
| ~ spl2_74
| ~ spl2_198
| ~ spl2_104
| ~ spl2_225
| ~ spl2_192
| ~ spl2_14
| ~ spl2_219
| ~ spl2_19
| spl2_196
| spl2_95 ),
inference(rat,[],[s4015,s3124,s3128,s3737,s4012,s4513,s4605,s4793,s2965,s4550,s2455,s2106,s4537,s3081,s3966,s1745,s4794,s3346,s3146,s907,s3970,s4796,s684,s4755]) ).
cnf(s4798,plain,
( ~ spl2_139
| ~ spl2_433
| ~ spl2_74
| spl2_103
| ~ spl2_198
| ~ spl2_104
| ~ spl2_225
| ~ spl2_192
| ~ spl2_14
| ~ spl2_219
| ~ spl2_19
| ~ spl2_24
| spl2_95 ),
inference(rat,[],[s4015,s3124,s3128,s3737,s4012,s4513,s4605,s4793,s4537,s3081,s3966,s1745,s4794,s3346,s3970,s4796,s684,s4755]) ).
cnf(s4799,plain,
( spl2_130
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s3737,s4513,s3124,s2052,s4015,s4041,s3945,s3128,s4795,s2356,s1362,s4550,s4798,s4544,s3696,s4485,s2965,s3820,s4471,s4434,s568,s4797,s821,s3970,s4796,s605,s4794,s4469,s4765,s1745,s3346,s678,s3146,s4547,s1776,s4774,s608,s3835,s4758,s2249,s4057,s4267,s3268,s4537,s3847,s3431,s3081,s4133,s684,s3966,s4773,s1625,s4770,s4033,s907,s4757,s4755,s4693]) ).
cnf(s4800,plain,
( ~ spl2_19
| ~ spl2_201
| spl2_220
| ~ spl2_225
| ~ spl2_390
| spl2_103
| ~ spl2_219
| ~ spl2_24
| spl2_108
| spl2_95 ),
inference(rat,[],[s4794,s4774,s3268,s3847,s3081,s4133,s4033,s3966,s4693]) ).
cnf(s4801,plain,
( ~ spl2_201
| ~ spl2_225
| ~ spl2_198
| ~ spl2_219
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s4794,s3543,s3672,s2370,s604,s4057,s4054,s4041,s3527,s1854,s575,s2352,s2124,s4448,s2182,s4464,s24,s4800,s4035,s4785,s2106,s3878,s568,s267,s4471,s4545,s3714,s2181,s3839,s907,s3146,s4757,s3346,s684,s3974,s687,s4469,s3943,s678,s1048,s952,s4799,s4755,s4033,s4056,s608,s4693]) ).
cnf(s4802,plain,
( ~ spl2_19
| ~ spl2_225
| ~ spl2_198
| ~ spl2_219
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s4015,s3945,s3128,s2356,s4544,s1362,s4550,s3696,s4798,s4485,s2965,s3820,s4471,s4434,s568,s4797,s4774,s3268,s4537,s3847,s3081,s4133,s4033,s907,s821,s608,s3124,s1352,s605,s4801,s4237,s3998,s3966,s3970,s4796,s4469,s3943,s678,s1048,s952,s4799,s684,s1745,s3146,s4757,s4755,s4693]) ).
cnf(s4803,plain,
( spl2_194
| spl2_20
| ~ spl2_222
| ~ spl2_152
| spl2_201
| ~ spl2_91
| ~ spl2_225
| spl2_96
| ~ spl2_219
| spl2_196 ),
inference(rat,[],[s4015,s3128,s3969,s3019,s4012,s4550,s4544,s4513,s3443,s3696,s2965,s4591,s4526,s594,s2183,s2052,s4041,s3934,s4537]) ).
cnf(s4804,plain,
( ~ spl2_225
| ~ spl2_198
| ~ spl2_219
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s4766,s4550,s3672,s3443,s4432,s4591,s4041,s788,s2052,s1624,s3834,s1702,s4803,s2182,s4464,s24,s4802,s3124,s1352,s605,s4801,s4056,s608,s907,s1745,s4237,s3146,s4757,s3998,s3966,s3970,s4796,s4469,s3943,s678,s1048,s952,s4799,s684,s4755,s4693]) ).
cnf(s4805,plain,
( ~ spl2_201
| ~ spl2_191
| ~ spl2_183
| spl2_192
| spl2_96
| ~ spl2_390
| spl2_7
| spl2_29
| ~ spl2_84
| ~ spl2_200 ),
inference(rat,[],[s4762,s3929,s4545,s4472,s2181,s3051,s3839,s3431]) ).
cnf(s4806,plain,
( ~ spl2_198
| ~ spl2_219
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s2881,s3124,s3689,s1352,s4554,s605,s4805,s3562,s418,s4565,s3523,s3229,s4562,s4591,s4574,s4775,s788,s3834,s1875,s4267,s526,s4057,s20,s4457,s3233,s3835,s4804,s3970,s4237,s4796,s687,s4469,s3943,s3998,s1745,s3346,s678,s3146,s4033,s4757,s1048,s952,s4799,s3966,s3431,s684,s4755,s4693]) ).
cnf(s4807,plain,
( ~ spl2_144
| ~ spl2_37
| ~ spl2_105
| spl2_220 ),
inference(rat,[],[s3523,s630,s418,s4562,s3330,s3331,s3332]) ).
cnf(s4808,plain,
( ~ spl2_201
| ~ spl2_176
| ~ spl2_105
| ~ spl2_431
| ~ spl2_14
| spl2_198
| spl2_7
| ~ spl2_412
| spl2_29
| spl2_228
| ~ spl2_200 ),
inference(rat,[],[s4118,s2917,s2631,s4471,s3969,s3215,s4319,s4545,s4487,s4544,s2181,s2454,s2470,s3839,s713,s3431,s881]) ).
cnf(s4809,plain,
( spl2_210
| spl2_201
| ~ spl2_105
| spl2_198 ),
inference(rat,[],[s2917,s4472,s4471,s3642,s3215]) ).
cnf(s4810,plain,
( ~ spl2_219
| ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s568,s2455,s4434,s4471,s3820,s4487,s4809,s605,s4808,s2635,s4546,s4807,s4054,s3296,s3934,s4041,s2483,s3943,s4469,s3028,s4477,s4695,s1835,s4774,s4056,s608,s3835,s4758,s4057,s4267,s3268,s3847,s3081,s4133,s4475,s881,s4806,s684,s3966,s4488,s4033,s4757,s1048,s952,s4799,s4755,s4693]) ).
cnf(s4811,plain,
( ~ spl2_225
| spl2_211
| ~ spl2_414
| spl2_219
| ~ spl2_24
| ~ spl2_80
| ~ spl2_200 ),
inference(rat,[],[s3932,s3525,s4562,s3522,s3538,s3946,s4452,s4565,s3995,s4515,s4539,s2052,s4586,s3920,s4056,s608,s821]) ).
cnf(s4812,plain,
( ~ spl2_80
| spl2_108
| spl2_95 ),
inference(rat,[],[s24,s1045,s2076,s3933,s4056,s4574,s3834,s3567,s4267,s4057,s20,s4457,s3233,s3835,s4811,s3970,s4796,s687,s4469,s3943,s3998,s3431,s678,s906,s881,s3185,s4810,s952,s1048,s4799,s907,s4757,s4755,s4488,s4033,s4693]) ).
cnf(s4815,plain,
( ~ spl2_19
| ~ spl2_225
| ~ spl2_218
| ~ spl2_219
| spl2_108
| spl2_95 ),
inference(rat,[],[s3934,s4041,s4056,s3296,s1595,s2104,s4054,s4057,s4436,s4267,s3847,s3081,s4133,s4033,s3966,s4693]) ).
cnf(s4817,plain,
( spl2_194
| spl2_20
| ~ spl2_225
| ~ spl2_218
| ~ spl2_84 ),
inference(rat,[],[s4124,s3934,s2052,s4056,s575,s2104,s4054,s4057,s4436,s4267,s4693]) ).
cnf(s4818,plain,
( spl2_201
| spl2_210
| spl2_246
| spl2_142
| spl2_47
| ~ spl2_222
| spl2_196
| ~ spl2_198 ),
inference(rat,[],[s3642,s4472,s3052,s2943,s4550,s3700]) ).
cnf(s4819,plain,
( ~ spl2_225
| spl2_196
| ~ spl2_198
| ~ spl2_219
| spl2_108
| spl2_95 ),
inference(rat,[],[s1871,s4035,s4545,s4448,s2181,s3839,s4818,s2970,s3178,s1776,s4073,s3443,s1046,s2443,s4591,s3580,s3397,s788,s2052,s4440,s3834,s1702,s4817,s2182,s4464,s24,s4815,s4033,s684,s4755,s907,s3620,s4055,s4812,s4693]) ).
cnf(s4820,plain,
( ~ spl2_19
| ~ spl2_218
| ~ spl2_219
| spl2_108
| spl2_95 ),
inference(rat,[],[s3934,s4056,s4041,s1594,s3296,s1595,s4054,s4436,s3847,s3081,s4133,s4033,s3966,s4693]) ).
cnf(s4821,plain,
( ~ spl2_201
| ~ spl2_401
| ~ spl2_42
| ~ spl2_192
| spl2_225
| ~ spl2_390
| spl2_7
| ~ spl2_200 ),
inference(rat,[],[s3689,s1058,s4035,s568,s1871,s1351,s4545,s4472,s2181,s3051,s3839]) ).
cnf(s4822,plain,
( spl2_220
| ~ spl2_431
| ~ spl2_236
| ~ spl2_42
| ~ spl2_85
| ~ spl2_192
| spl2_194
| spl2_20
| ~ spl2_40
| spl2_225
| ~ spl2_390
| spl2_7
| ~ spl2_88
| ~ spl2_200 ),
inference(rat,[],[s3220,s4472,s4487,s1243,s922,s4035,s1871,s4545,s1193,s4821,s45,s1595,s4041,s3934,s2443,s4056,s3706]) ).
cnf(s4823,plain,
( ~ spl2_201
| ~ spl2_289
| ~ spl2_257
| ~ spl2_42
| ~ spl2_192
| spl2_225
| spl2_96
| ~ spl2_390
| ~ spl2_219
| ~ spl2_88
| ~ spl2_200 ),
inference(rat,[],[s3128,s4776,s957,s4562,s3624,s3821,s934,s3824,s723,s4035,s3689,s1058,s568,s1351,s4545,s4472,s4544,s2181,s3051,s2470,s3839,s713,s1609,s3431,s684]) ).
cnf(s4824,plain,
( spl2_194
| spl2_225
| spl2_96
| spl2_196
| ~ spl2_390
| ~ spl2_219
| spl2_108
| spl2_95 ),
inference(rat,[],[s3220,s4472,s4487,s1243,s922,s4554,s4823,s4565,s4494,s3672,s1594,s3281,s3397,s4822,s4477,s1450,s3683,s3706,s4073,s4054,s1046,s4057,s4436,s2386,s4267,s3268,s4033,s3966,s3431,s684,s4755,s4585,s2182,s24,s4820,s3620,s4055,s4812,s4693]) ).
cnf(s4825,plain,
( ~ spl2_201
| ~ spl2_162
| ~ spl2_401
| ~ spl2_183
| spl2_225
| spl2_96
| ~ spl2_198
| ~ spl2_219
| ~ spl2_84
| ~ spl2_200 ),
inference(rat,[],[s4805,s3906,s1351,s3124,s568,s2881,s4447,s3689,s4035,s1247,s1871,s4471,s4545,s4472,s3714,s2181,s3051,s3839,s1609,s3346,s684,s3683,s4073,s1870,s4693]) ).
cnf(s4826,plain,
( spl2_196
| ~ spl2_198
| ~ spl2_219
| spl2_108
| spl2_95 ),
inference(rat,[],[s4120,s4237,s3943,s3998,s952,s356,s295,s4763,s2658,s2905,s1351,s3124,s3904,s4454,s568,s4472,s2881,s4446,s1243,s3689,s4035,s1871,s4545,s4476,s605,s4825,s4546,s2737,s3683,s418,s4073,s3523,s1870,s2286,s2443,s4562,s4591,s3397,s4775,s788,s4440,s3834,s1702,s4824,s4464,s24,s4820,s4819,s1745,s3146,s3620,s4033,s4055,s4812,s3966,s3431,s678,s1609,s3346,s684,s4755,s4693]) ).
cnf(s4827,plain,
( ~ spl2_198
| ~ spl2_219
| spl2_108
| spl2_95 ),
inference(rat,[],[s1870,s2443,s4073,s3397,s1716,s1601,s4826,s3346,s4055,s4812,s684,s4755,s4693]) ).
cnf(s4828,plain,
( ~ spl2_219
| spl2_108
| spl2_95 ),
inference(rat,[],[s2586,s2443,s4054,s3397,s1593,s1601,s3620,s4820,s3847,s3081,s4133,s4475,s4827,s3966,s4033,s4055,s4812,s4693]) ).
cnf(s4829,plain,
( ~ spl2_47
| ~ spl2_266 ),
inference(rat,[],[s4123,s2354,s575,s4539]) ).
cnf(s4830,plain,
( ~ spl2_225
| ~ spl2_24
| spl2_108
| spl2_95 ),
inference(rat,[],[s680,s3834,s4158,s4267,s4057,s2104,s4056,s3920,s4586,s4041,s2052,s4033,s4828,s4829,s3561,s4812,s4693]) ).
cnf(s4831,plain,
( spl2_220
| spl2_225
| ~ spl2_24
| spl2_219
| ~ spl2_88
| ~ spl2_84
| ~ spl2_200 ),
inference(rat,[],[s6,s1624,s265,s4267,s3186,s4057,s2249,s4765,s4469,s447,s448,s356,s2023,s3431,s1760,s3833,s4594,s2483,s4073,s20,s4586,s1870,s538,s3920,s2443,s4056,s620,s861,s4693]) ).
cnf(s4832,plain,
( spl2_194
| ~ spl2_257
| spl2_225
| spl2_196
| spl2_219
| ~ spl2_88
| ~ spl2_84
| ~ spl2_200 ),
inference(rat,[],[s4120,s447,s4765,s2023,s3431,s3833,s48,s20,s10,s1331,s1045,s2182,s4443,s24,s11,s598,s4586,s4041,s3672,s3542,s2078,s1594,s4073,s653,s2249,s4054,s1046,s4057,s4436,s2386,s4267,s861,s2390,s4831,s907,s4693]) ).
cnf(s4833,plain,
( spl2_196
| spl2_108
| spl2_95 ),
inference(rat,[],[s3974,s4469,s265,s4765,s2023,s3431,s3833,s48,s20,s10,s1045,s2182,s24,s598,s2078,s3672,s2249,s4073,s4057,s1046,s11,s4158,s3580,s4586,s4041,s704,s680,s730,s1624,s3834,s4832,s3397,s4831,s4830,s907,s4755,s4033,s4055,s4812,s861,s4828,s4693]) ).
cnf(s4834,plain,
( ~ spl2_29
| ~ spl2_129
| ~ spl2_266 ),
inference(rat,[],[s20,s2353,s40,s1048]) ).
cnf(s4835,plain,
( spl2_220
| spl2_225
| ~ spl2_196
| ~ spl2_198
| spl2_219
| ~ spl2_88
| ~ spl2_84
| ~ spl2_200 ),
inference(rat,[],[s3346,s1716,s22,s4073,s20,s1870,s538,s4831,s2443,s4056,s620,s861,s4693]) ).
cnf(s4836,plain,
( spl2_108
| spl2_95 ),
inference(rat,[],[s20,s43,s2353,s4585,s906,s574,s2757,s2218,s4835,s618,s4834,s4833,s4829,s881,s3185,s861,s4828,s3561,s4055,s4812,s4033,s4488,s4755,s4693]) ).
cnf(s4840,plain,
( ~ spl2_187
| ~ spl2_22
| ~ spl2_116
| ~ spl2_14
| spl2_194 ),
inference(rat,[],[s3985,s923,s4545,s3811,s3816]) ).
cnf(s4848,plain,
( spl2_198
| spl2_220
| spl2_231
| spl2_7
| spl2_196
| spl2_95 ),
inference(rat,[],[s4776,s3128,s4562,s3318,s3328,s3970,s4545,s3996,s4544,s2181,s4546,s2470,s3839,s1470,s4807,s4809,s4054,s4517,s4514,s575,s2352,s679,s3943,s4469,s952,s3028,s4547,s4836,s3431,s4755,s2025,s4056,s907]) ).
cnf(s4851,plain,
( ~ spl2_49
| ~ spl2_14 ),
inference(rat,[],[s3608,s2183]) ).
cnf(s4853,plain,
( ~ spl2_127
| spl2_201
| spl2_130
| ~ spl2_230
| ~ spl2_14
| spl2_96
| ~ spl2_108 ),
inference(rat,[],[s4012,s3128,s4513,s4015,s2965,s3124,s2455,s1877,s3990,s4454,s3924,s4471,s2236,s605]) ).
cnf(s4855,plain,
( ~ spl2_325
| ~ spl2_37
| ~ spl2_14
| spl2_231 ),
inference(rat,[],[s3484,s4567,s1239,s2299,s3902,s3783,s3784]) ).
cnf(s4856,plain,
( ~ spl2_335
| ~ spl2_132
| ~ spl2_148
| ~ spl2_201
| spl2_103
| ~ spl2_200 ),
inference(rat,[],[s4783,s3159,s2629,s3918,s3891]) ).
cnf(s4857,plain,
( ~ spl2_324
| ~ spl2_201
| spl2_103
| ~ spl2_219
| spl2_95 ),
inference(rat,[],[s4783,s3159,s2629,s3495,s3759,s3961,s3967,s4544,s2470,s3431,s4545,s2181,s3839,s684,s4755]) ).
cnf(s4858,plain,
( ~ spl2_325
| ~ spl2_20
| ~ spl2_14
| spl2_231 ),
inference(rat,[],[s4123,s4855,s3787]) ).
cnf(s4859,plain,
( ~ spl2_22
| spl2_324
| spl2_335
| ~ spl2_77
| ~ spl2_386
| ~ spl2_201
| spl2_267
| ~ spl2_14
| spl2_194
| spl2_103
| ~ spl2_91
| spl2_231 ),
inference(rat,[],[s3905,s923,s568,s3798,s3878,s4779,s3156,s1121,s4486,s4858,s3934,s4577,s4851,s2965,s2454]) ).
cnf(s4860,plain,
( ~ spl2_201
| ~ spl2_14
| spl2_194
| spl2_103
| ~ spl2_198
| ~ spl2_91
| ~ spl2_225
| ~ spl2_219
| spl2_95 ),
inference(rat,[],[s4779,s3798,s3156,s3829,s1121,s2366,s4486,s4054,s1207,s1595,s2052,s4041,s4859,s4857,s4856,s4471,s4545,s2965,s4544,s3714,s2181,s2454,s2470,s3839,s3431,s684,s4755,s3258,s4537,s2046,s4836,s4577,s4851]) ).
cnf(s4861,plain,
( ~ spl2_187
| ~ spl2_22
| ~ spl2_14
| spl2_194 ),
inference(rat,[],[s568,s4840,s2455]) ).
cnf(s4862,plain,
( ~ spl2_127
| ~ spl2_152
| ~ spl2_74 ),
inference(rat,[],[s4791,s4549,s4562,s1939,s4013]) ).
cnf(s4863,plain,
( ~ spl2_232
| ~ spl2_14
| spl2_194
| ~ spl2_225 ),
inference(rat,[],[s4124,s4861,s2052,s4485,s4526,s4537]) ).
cnf(s4864,plain,
( spl2_127
| ~ spl2_147
| spl2_201
| ~ spl2_19
| ~ spl2_403
| ~ spl2_80
| spl2_196
| ~ spl2_200 ),
inference(rat,[],[s2356,s4550,s3945,s4605]) ).
cnf(s4865,plain,
( ~ spl2_74
| ~ spl2_127
| spl2_201
| ~ spl2_14
| spl2_103
| ~ spl2_198
| ~ spl2_219
| spl2_95 ),
inference(rat,[],[s3990,s2905,s4237,s3124,s3998,s4862,s4853,s821,s3970,s4796,s4836,s3966,s684,s4755,s678,s1609,s1745,s605,s4693]) ).
cnf(s4866,plain,
( ~ spl2_19
| spl2_194
| ~ spl2_80
| ~ spl2_225
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s4455,s3803,s2970,s3998,s2438,s2600,s4469,s4865,s4471,s2236,s4864,s4544,s3696,s4863,s605,s4860,s3549,s595,s907,s3431,s3178,s4056,s3146,s678,s4848,s608,s3258,s4836,s684,s4755,s1609,s4537]) ).
cnf(s4867,plain,
( ~ spl2_14
| spl2_246
| spl2_210
| spl2_232
| spl2_194
| spl2_220
| ~ spl2_225
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s2438,s4469,s4471,s4865,s2236,s3945,s3968,s4544,s4550,s3696,s4860,s3431,s4056,s3146,s4848,s3258,s4836,s684,s4755]) ).
cnf(s4868,plain,
( spl2_194
| ~ spl2_80
| ~ spl2_225
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s3839,s3714,s1150,s4471,s3543,s579,s45,s3549,s4867,s2370,s3443,s4054,s4591,s4517,s4526,s575,s2183,s2352,s2052,s4041,s3934,s2182,s4585,s4464,s24,s4866,s4537,s4056,s4848,s608,s3258,s4836,s684,s4755]) ).
cnf(s4869,plain,
( ~ spl2_80
| ~ spl2_225
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s761,s4035,s4472,s4448,s3051,s3839,s4818,s3236,s2970,s4073,s3443,s4465,s4591,s4464,s3549,s788,s3081,s1624,s3834,s1702,s4868,s3346,s4848,s608,s907,s3966,s3431,s684,s4755,s3178,s3258,s4836,s4693]) ).
cnf(s4870,plain,
( ~ spl2_19
| ~ spl2_198
| ~ spl2_225
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s4867,s4487,s4477,s3781,s1594,s4861,s4863,s2046,s4054,s3549,s4436,s595,s3081,s4836,s3966,s3620,s4055,s4041,s2052,s4829,s3561,s4869,s4693]) ).
cnf(s4871,plain,
( ~ spl2_14
| spl2_20
| ~ spl2_22
| ~ spl2_218
| ~ spl2_200 ),
inference(rat,[],[s1594,s4056,s4054,s3934,s4436,s1624]) ).
cnf(s4872,plain,
( ~ spl2_198
| ~ spl2_225
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s723,s3697,s4035,s4544,s4448,s2470,s3839,s4818,s2970,s3443,s4591,s784,s3549,s4871,s2182,s4464,s24,s4870,s907,s3431,s684,s4755,s3178,s3258,s4836,s3620,s4055,s4041,s2052,s4829,s3561,s4869,s4693]) ).
cnf(s4873,plain,
( ~ spl2_225
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s3215,s4471,s2970,s1150,s3443,s3839,s4591,s45,s4448,s784,s4585,s4464,s4035,s3549,s2076,s723,s1594,s3567,s3565,s4158,s4544,s4469,s4057,s2675,s2674,s2104,s3998,s4848,s4547,s4872,s848,s4041,s2052,s679,s4829,s3561,s4055,s4869,s3178,s3258,s4836,s907,s684,s4755,s4693]) ).
cnf(s4874,plain,
( ~ spl2_80
| ~ spl2_79
| ~ spl2_148
| spl2_187
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s3689,s3829,s4450,s2365,s568,s4073,s4171,s3683,s4057,s4505,s4758,s3233,s3835,s4836,s3431,s684,s4755,s4873,s4693]) ).
cnf(s4875,plain,
( ~ spl2_201
| ~ spl2_14
| ~ spl2_390
| spl2_194
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s1374,s3683,s4054,s4073,s4436,s2365,s3620,s3693,s4055,s4874,s4545,s4472,s4544,s2181,s3051,s2454,s2470,s3839,s4836,s3431,s684,s4755,s4873,s4693]) ).
cnf(s4876,plain,
( ~ spl2_238
| spl2_201
| ~ spl2_14
| ~ spl2_403
| spl2_196
| ~ spl2_200 ),
inference(rat,[],[s3696,s4544,s4485,s2317,s3811,s4554,s3233]) ).
cnf(s4877,plain,
( ~ spl2_198
| ~ spl2_19
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s1870,s4073,s2443,s3683,s1594,s1374,s4054,s4436,s3620,s4055,s3835,s4876,s4875,s3549,s595,s3346,s4836,s684,s4755,s4873,s4537,s3081,s3966,s4693]) ).
cnf(s4878,plain,
( ~ spl2_218
| ~ spl2_205
| spl2_194
| spl2_225
| ~ spl2_108 ),
inference(rat,[],[s3683,s1374,s4073,s4054,s998,s4436,s4693]) ).
cnf(s4879,plain,
( ~ spl2_19
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s3683,s4505,s4059,s3233,s3835,s4055,s3620,s4878,s881,s4877,s3081,s4755,s4836,s3966,s4873]) ).
cnf(s4880,plain,
( ~ spl2_14
| ~ spl2_390
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s1595,s4041,s4054,s4871,s4436,s3620,s4055,s3835,s4876,s4537,s4875,s1624,s4755,s4873,s2182,s24,s4879]) ).
cnf(s4881,plain,
( ~ spl2_201
| ~ spl2_109
| ~ spl2_81
| ~ spl2_80
| spl2_194
| ~ spl2_390
| spl2_225
| spl2_7
| ~ spl2_200 ),
inference(rat,[],[s4450,s3689,s568,s3829,s4279,s2365,s4545,s4472,s4544,s2181,s3051,s2470,s3839,s3431,s3835,s4693]) ).
cnf(s4882,plain,
( ~ spl2_80
| spl2_194
| ~ spl2_198
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s4010,s437,s3128,s4237,s960,s4469,s440,s3828,s3943,s2527,s3700,s3998,s952,s4545,s3562,s4526,s3924,s4171,s267,s741,s3696,s4454,s568,s4544,s4450,s2317,s3689,s4471,s4554,s1150,s605,s4881,s4565,s3186,s4057,s4073,s3229,s4758,s3233,s4465,s3835,s3966,s3431,s4873,s24,s4464,s678,s1609,s1745,s3146,s45,s4585,s4879,s4591,s784,s3549,s4880,s3346,s684,s4755,s4836,s4537,s4693]) ).
cnf(s4883,plain,
( ~ spl2_201
| ~ spl2_81
| spl2_80
| ~ spl2_390
| spl2_7
| ~ spl2_200 ),
inference(rat,[],[s3693,s2365,s4545,s4472,s2181,s3051,s3839,s4693]) ).
cnf(s4884,plain,
( spl2_194
| ~ spl2_198
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s4550,s3624,s3969,s2318,s3019,s4544,s3696,s4485,s922,s3700,s4554,s4883,s3281,s2443,s1870,s4073,s3683,s3706,s1374,s4054,s4436,s4829,s3620,s3561,s4055,s4882,s4537,s3966,s4873,s4464,s4879,s4591,s784,s3549,s4880,s3346,s684,s4755,s4836,s4693]) ).
cnf(s4885,plain,
( ~ spl2_201
| ~ spl2_86
| ~ spl2_81
| ~ spl2_80
| ~ spl2_198
| spl2_225
| spl2_7
| ~ spl2_200 ),
inference(rat,[],[s4450,s3689,s568,s3829,s267,s2365,s4471,s4545,s4472,s4544,s3714,s2181,s3051,s2470,s3839,s3431,s3346,s3835,s4693]) ).
cnf(s4886,plain,
( ~ spl2_80
| ~ spl2_198
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s568,s267,s4450,s4545,s3689,s4471,s4476,s4554,s1150,s4885,s3186,s4073,s4758,s3233,s4465,s3835,s3966,s3431,s4873,s4464,s3549,s4836,s45,s4880,s3346,s684,s4755,s4585,s4879,s3834,s4884,s4693]) ).
cnf(s4887,plain,
( ~ spl2_198
| ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s4120,s4791,s4765,s4549,s2249,s1111,s2023,s4432,s2150,s3833,s4041,s4505,s3631,s579,s3683,s418,s4073,s3523,s1870,s2286,s3676,s4055,s4886,s4056,s4562,s3397,s4775,s4440,s3834,s4884,s45,s3549,s4880,s3346,s678,s4836,s907,s1609,s3966,s3431,s684,s4755,s4873,s4585,s4879,s4693]) ).
cnf(s4888,plain,
( spl2_28
| spl2_198
| spl2_225
| spl2_196
| ~ spl2_108 ),
inference(rat,[],[s3683,s4505,s4059]) ).
cnf(s4889,plain,
( ~ spl2_219
| spl2_196
| spl2_95 ),
inference(rat,[],[s4088,s2632,s2150,s2737,s2533,s3631,s418,s3523,s2286,s4562,s4775,s3683,s3834,s4073,s4878,s1870,s3620,s3676,s4055,s4056,s3835,s3833,s3281,s3233,s4888,s881,s4887,s4873,s684,s3966,s4755,s4836,s4693]) ).
cnf(s4890,plain,
( ~ spl2_80
| ~ spl2_198
| ~ spl2_225
| spl2_196
| spl2_95 ),
inference(rat,[],[s2282,s3945,s4472,s4544,s3220,s3696,s3839,s3714,s2236,s4471,s2438,s4469,s4796,s3970,s4811,s3431,s4525,s4517,s4526,s4539,s2352,s3956,s2052,s4586,s3920,s4056,s608,s4755,s4836,s907,s4889]) ).
cnf(s4891,plain,
( ~ spl2_198
| ~ spl2_225
| spl2_196
| spl2_95 ),
inference(rat,[],[s4818,s3839,s2970,s906,s4448,s3443,s265,s4591,s4464,s24,s784,s595,s4035,s3549,s723,s1594,s3565,s4158,s4544,s4469,s3186,s4057,s2675,s2674,s2104,s4056,s3920,s4586,s4041,s2052,s4829,s3561,s4055,s4890,s907,s861,s4889,s3178,s3258,s4836,s4693]) ).
cnf(s4892,plain,
( ~ spl2_225
| spl2_196
| spl2_95 ),
inference(rat,[],[s4119,s1150,s3215,s3839,s2970,s45,s4448,s1059,s4585,s4464,s3828,s3847,s3568,s2230,s1594,s848,s4035,s4054,s4041,s723,s2122,s2052,s3565,s4829,s4544,s4469,s4057,s3561,s4055,s2675,s2674,s2104,s608,s4848,s887,s2056,s4547,s4891,s3178,s3258,s4836,s907,s4693]) ).
cnf(s4893,plain,
( ~ spl2_7
| ~ spl2_80
| ~ spl2_198
| spl2_196
| spl2_95 ),
inference(rat,[],[s3943,s1586,s678,s4471,s4544,s4469,s1625,s3543,s2901,s3404,s24,s2857,s448,s2353,s4759,s356,s4609,s887,s861,s4889,s20,s3683,s4505,s3233,s3835,s4755,s4836,s4892,s4693]) ).
cnf(s4894,plain,
( ~ spl2_80
| ~ spl2_198
| spl2_196
| spl2_95 ),
inference(rat,[],[s4467,s2970,s4460,s4818,s3366,s1191,s3567,s3397,s4469,s4056,s3943,s538,s3998,s952,s633,s4759,s4591,s4464,s24,s784,s595,s3706,s3549,s679,s4545,s922,s3811,s3528,s3400,s4171,s741,s4454,s568,s4544,s4450,s2317,s3689,s4554,s605,s4885,s3431,s4893,s4073,s3683,s3186,s4057,s4505,s20,s4758,s3233,s3835,s4755,s4836,s907,s4889,s4892,s4693]) ).
cnf(s4895,plain,
( spl2_7
| ~ spl2_201
| ~ spl2_198
| spl2_196
| spl2_95 ),
inference(rat,[],[s723,s4035,s3697,s2539,s1873,s3833,s3969,s4505,s4201,s3683,s4545,s4073,s4544,s2181,s4883,s2470,s3839,s3346,s3431,s4755,s4836,s4892,s4055,s713,s4834,s3561,s4894,s861,s4889,s4693]) ).
cnf(s4896,plain,
( ~ spl2_7
| ~ spl2_266
| ~ spl2_129
| ~ spl2_108 ),
inference(rat,[],[s43,s20,s4585,s2353,s574,s887,s4829]) ).
cnf(s4897,plain,
( ~ spl2_14
| ~ spl2_218
| spl2_219
| ~ spl2_24
| ~ spl2_200 ),
inference(rat,[],[s3920,s4586,s4056,s1595,s1594,s4054,s4436,s1624]) ).
cnf(s4898,plain,
( spl2_194
| ~ spl2_232
| ~ spl2_148
| spl2_127
| ~ spl2_218
| ~ spl2_88
| spl2_225 ),
inference(rat,[],[s723,s4035,s3697,s922,s1059,s3706,s3828,s4054,s4485,s4436,s4537]) ).
cnf(s4899,plain,
( ~ spl2_104
| ~ spl2_77
| ~ spl2_199
| ~ spl2_198
| spl2_225
| spl2_196
| ~ spl2_108 ),
inference(rat,[],[s3689,s4446,s3447,s4454,s3803,s2023,s3833,s4505,s3683,s907]) ).
cnf(s4900,plain,
( ~ spl2_148
| ~ spl2_198
| spl2_196
| spl2_95 ),
inference(rat,[],[s3447,s2539,s3400,s4201,s4545,s3833,s1193,s20,s4057,s1045,s4158,s3580,s4041,s730,s680,s3834,s4898,s3696,s24,s3700,s4464,s4591,s784,s4829,s3397,s2443,s1870,s4073,s4899,s4471,s1150,s45,s4585,s595,s3549,s4897,s3620,s907,s4755,s605,s4895,s4896,s3561,s861,s4889,s4892,s4836,s4055,s4894,s4693]) ).
cnf(s4901,plain,
( ~ spl2_198
| spl2_196
| spl2_95 ),
inference(rat,[],[s4550,s3624,s3968,s2318,s3945,s4544,s4900,s2443,s1870,s4073,s4899,s4471,s1150,s45,s3700,s4591,s4585,s4464,s784,s595,s3549,s4897,s605,s4895,s4896,s4829,s3620,s3561,s4055,s4894,s4755,s4836,s907,s861,s4889,s4892,s4693]) ).
cnf(s4902,plain,
( spl2_196
| spl2_95 ),
inference(rat,[],[s591,s3672,s4158,s461,s4041,s4469,s3542,s447,s4897,s647,s448,s3620,s1374,s4547,s356,s4055,s3683,s2023,s3835,s2402,s3833,s3233,s3185,s4888,s881,s4901,s4892,s861,s4889,s907,s4755,s4836,s4693]) ).
cnf(s4903,plain,
( ~ spl2_225
| spl2_95 ),
inference(rat,[],[s1593,s3672,s633,s461,s538,s4469,s4056,s447,s3186,s608,s448,s265,s3561,s20,s356,s24,s4834,s40,s860,s1048,s1609,s1625,s618,s4836,s4902,s4693]) ).
cnf(s4904,plain,
( ~ spl2_80
| spl2_95 ),
inference(rat,[],[s2282,s4472,s3945,s3856,s2236,s2317,s4471,s4544,s3543,s2901,s4469,s2857,s448,s3404,s356,s4170,s4896,s4609,s453,s684,s887,s20,s3431,s3233,s2215,s3835,s4755,s4836,s4902,s4903,s4693]) ).
cnf(s4905,plain,
( ~ spl2_219
| ~ spl2_198
| spl2_95 ),
inference(rat,[],[s1870,s4073,s2443,s1716,s3397,s3346,s1601,s684,s4755,s4902,s4055,s4904,s4693]) ).
cnf(s4906,plain,
( ~ spl2_198
| spl2_95 ),
inference(rat,[],[s1870,s4073,s2443,s1716,s2218,s3346,s2757,s4896,s861,s4905,s4755,s4836,s4902,s4055,s3561,s4904,s4693]) ).
cnf(s4907,plain,
( ~ spl2_219
| spl2_95 ),
inference(rat,[],[s2920,s3996,s3124,s4546,s3970,s2881,s2737,s2197,s418,s3689,s4471,s3523,s4035,s1150,s2286,s3851,s1921,s45,s4562,s4545,s4585,s4775,s4476,s3081,s1624,s3834,s2586,s4054,s1374,s3683,s1737,s4073,s1870,s605,s2443,s4677,s3397,s3431,s1601,s684,s3966,s4755,s4836,s4902,s4903,s4055,s4904,s4693]) ).
cnf(s4908,plain,
spl2_95,
inference(rat,[],[s447,s4469,s448,s4765,s356,s2249,s2023,s4057,s3833,s4158,s20,s4041,s538,s579,s1374,s4056,s3549,s3683,s2218,s1624,s4073,s2757,s3431,s4878,s998,s4896,s620,s2390,s861,s4907,s881,s4906,s679,s4829,s3561,s4055,s4904,s4903,s4902,s4836,s4755,s4693]) ).
cnf(s4909,plain,
( spl2_31
| spl2_200
| ~ spl2_24 ),
inference(rat,[],[s651,s4056,s4055,s4432,s4531,s4041,s589,s4057,s1336,s4642,s3262,s4908,s4693]) ).
cnf(s4910,plain,
( ~ spl2_198
| ~ spl2_392
| spl2_80
| spl2_29 ),
inference(rat,[],[s4107,s2023,s711,s4625,s3998,s906,s3413,s4469,s678,s1455,s589,s4570,s1336,s4642,s3262,s681,s4908,s4693]) ).
cnf(s4911,plain,
( spl2_29
| spl2_196 ),
inference(rat,[],[s3122,s2023,s1879,s4073,s4436,s998,s4054,s881,s1770,s3847,s1735,s4910,s8,s3620,s490,s3833,s4055,s1760,s4130,s2052,s650,s4909,s1336,s4642,s3262,s589,s681,s907,s4693,s4908]) ).
cnf(s4912,plain,
spl2_196,
inference(rat,[],[s447,s4469,s448,s4214,s356,s40,s860,s1048,s4911,s4693,s4908]) ).
cnf(s4913,plain,
~ spl2_80,
inference(rat,[],[s649,s4908,s4912]) ).
cnf(s4914,plain,
spl2_88,
inference(rat,[],[s4055,s4913]) ).
cnf(s4915,plain,
spl2_266,
inference(rat,[],[s3561,s4693,s4913]) ).
cnf(s4916,plain,
~ spl2_47,
inference(rat,[],[s4829,s4915]) ).
cnf(s4917,plain,
~ spl2_85,
inference(rat,[],[s1336,s4908,s4916]) ).
cnf(s4918,plain,
spl2_109,
inference(rat,[],[s4057,s4917]) ).
cnf(s4919,plain,
~ spl2_214,
inference(rat,[],[s4570,s4917]) ).
cnf(s4921,plain,
~ spl2_192,
inference(rat,[],[s1875,s4693,s4918]) ).
cnf(s4923,plain,
( spl2_108
| spl2_29 ),
inference(rat,[],[s687,s4469,s3586,s1879,s1770,s3847,s3268,s4475,s4033,s1760,s4531,s4910,s3833,s1177,s589,s681,s618,s4918,s4914,s4921,s4693,s4913,s4912,s4919,s4908]) ).
cnf(s4924,plain,
spl2_29,
inference(rat,[],[s711,s3565,s4073,s3623,s2023,s876,s3123,s4469,s679,s1457,s4923,s4910,s3833,s1177,s1735,s589,s618,s681,s4914,s4912,s4916,s4908,s4913,s4919]) ).
cnf(s4929,plain,
spl2_129,
inference(rat,[],[s860,s4924]) ).
cnf(s4931,plain,
$false,
inference(rat,[],[s4834,s4915,s4924,s4929]) ).
thf(f31374,plain,
$false,
inference(avatar_sat_refutation,[],[s4931]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA107^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n013.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Tue Sep 29 18:58:36 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.29 Running higher-order theorem proving
% 0.27/0.31 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
% 0.66/0.46 % (2512268)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.66/0.46 % (2512277)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3104175140:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.66/0.46 % (2512273)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2477509672:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.66/0.46 % (2512279)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.66/0.46 % (2512279)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
% 0.66/0.46 % (2512275)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2193712264:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.66/0.46 % (2512274)lrs+10_16_si=on:nwc=1.5:random_seed=682414860:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.66/0.46 % (2512277)Instruction limit reached!
% 0.66/0.46 % (2512277)------------------------------
% 0.66/0.46 % (2512277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.46 % (2512277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.46 % (2512277)CaDiCaL version: 2.1.3
% 0.66/0.46 % (2512277)Termination reason: Instruction limit
% 0.66/0.46 % (2512277)Termination phase: Saturation
% 0.66/0.46 % (2512277)Time elapsed: 0.012 s
% 0.66/0.46 % (2512277)Peak memory usage: 12 MB
% 0.66/0.46 % (2512277)Instructions burned: 25 (million)
% 0.66/0.46 % (2512276)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=827878621: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)
% 0.66/0.46 % (2512278)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=7351128:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.66/0.46 % (2512279)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=316454728:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.66/0.46 % (2512275)Instruction limit reached!
% 0.66/0.46 % (2512275)------------------------------
% 0.66/0.46 % (2512275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.46 % (2512275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.46 % (2512275)CaDiCaL version: 2.1.3
% 0.66/0.46 % (2512275)Termination reason: Instruction limit
% 0.66/0.46 % (2512275)Termination phase: Saturation
% 0.66/0.46 % (2512275)Time elapsed: 0.003 s
% 0.66/0.46 % (2512275)Peak memory usage: 12 MB
% 0.66/0.46 % (2512275)Instructions burned: 3 (million)
% 0.66/0.46 % (2512274)Instruction limit reached!
% 0.66/0.46 % (2512274)------------------------------
% 0.66/0.46 % (2512274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.46 % (2512274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.46 % (2512274)CaDiCaL version: 2.1.3
% 0.66/0.46 % (2512274)Termination reason: Instruction limit
% 0.66/0.46 % (2512274)Termination phase: Saturation
% 0.66/0.46 % (2512274)Time elapsed: 0.016 s
% 0.66/0.46 % (2512274)Peak memory usage: 12 MB
% 0.66/0.46 % (2512274)Instructions burned: 18 (million)
% 0.66/0.46 % (2512288)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2918104220:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.66/0.46 % (2512288)Instruction limit reached!
% 0.66/0.46 % (2512288)------------------------------
% 0.66/0.46 % (2512288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.46 % (2512288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.46 % (2512288)CaDiCaL version: 2.1.3
% 0.66/0.46 % (2512288)Termination reason: Instruction limit
% 0.66/0.46 % (2512288)Termination phase: Saturation
% 0.66/0.46 % (2512288)Time elapsed: 0.004 s
% 0.66/0.46 % (2512288)Peak memory usage: 12 MB
% 0.66/0.46 % (2512288)Instructions burned: 6 (million)
% 0.66/0.46 % (2512284)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2453943705:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.28/0.51 % (2512284)Instruction limit reached!
% 1.28/0.51 % (2512284)------------------------------
% 1.28/0.51 % (2512284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (2512284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (2512284)CaDiCaL version: 2.1.3
% 1.28/0.51 % (2512284)Termination reason: Instruction limit
% 1.28/0.51 % (2512284)Termination phase: Saturation
% 1.28/0.51 % (2512284)Time elapsed: 0.003 s
% 1.28/0.51 % (2512284)Peak memory usage: 12 MB
% 1.28/0.51 % (2512284)Instructions burned: 2 (million)
% 1.28/0.51 % (2512289)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.28/0.51 % (2512289)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3081329373:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.28/0.51 % (2512291)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3736444777:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.28/0.51 % (2512273)Instruction limit reached!
% 1.28/0.51 % (2512273)------------------------------
% 1.28/0.51 % (2512273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (2512273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (2512273)CaDiCaL version: 2.1.3
% 1.28/0.51 % (2512273)Termination reason: Instruction limit
% 1.28/0.51 % (2512273)Termination phase: Saturation
% 1.28/0.51 % (2512273)Time elapsed: 0.063 s
% 1.28/0.51 % (2512273)Peak memory usage: 13 MB
% 1.28/0.51 % (2512273)Instructions burned: 88 (million)
% 1.28/0.51 % (2512293)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
% 1.28/0.51 % (2512293)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.28/0.51 % (2512289)Instruction limit reached!
% 1.28/0.51 % (2512289)------------------------------
% 1.28/0.51 % (2512289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (2512289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (2512289)CaDiCaL version: 2.1.3
% 1.28/0.51 % (2512289)Termination reason: Instruction limit
% 1.28/0.51 % (2512289)Termination phase: Saturation
% 1.28/0.51 % (2512289)Time elapsed: 0.008 s
% 1.28/0.51 % (2512289)Peak memory usage: 12 MB
% 1.28/0.51 % (2512289)Instructions burned: 7 (million)
% 1.28/0.51 % (2512291)Instruction limit reached!
% 1.28/0.51 % (2512291)------------------------------
% 1.28/0.51 % (2512291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (2512291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (2512291)CaDiCaL version: 2.1.3
% 1.28/0.51 % (2512291)Termination reason: Instruction limit
% 1.28/0.51 % (2512291)Termination phase: Saturation
% 1.28/0.51 % (2512291)Time elapsed: 0.007 s
% 1.28/0.51 % (2512291)Peak memory usage: 12 MB
% 1.28/0.51 % (2512291)Instructions burned: 14 (million)
% 1.28/0.51 % (2512293)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3050910349:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.28/0.51 % (2512278)Instruction limit reached!
% 1.28/0.51 % (2512278)------------------------------
% 1.28/0.51 % (2512278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (2512278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (2512278)CaDiCaL version: 2.1.3
% 1.28/0.51 % (2512278)Termination reason: Instruction limit
% 1.28/0.51 % (2512278)Termination phase: Saturation
% 1.28/0.51 % (2512278)Time elapsed: 0.062 s
% 1.28/0.51 % (2512278)Peak memory usage: 12 MB
% 1.28/0.51 % (2512278)Instructions burned: 75 (million)
% 1.28/0.51 % (2512299)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.28/0.51 % (2512293)Instruction limit reached!
% 1.28/0.51 % (2512293)------------------------------
% 1.28/0.51 % (2512293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (2512293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2512293)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2512293)Termination reason: Instruction limit
% 1.28/0.54 % (2512293)Termination phase: Saturation
% 1.28/0.54 % (2512293)Time elapsed: 0.016 s
% 1.28/0.54 % (2512293)Peak memory usage: 12 MB
% 1.28/0.54 % (2512293)Instructions burned: 28 (million)
% 1.28/0.54 % (2512299)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=632886433:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.28/0.54 % (2512299)Instruction limit reached!
% 1.28/0.54 % (2512299)------------------------------
% 1.28/0.54 % (2512299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.54 % (2512299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2512299)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2512299)Termination reason: Instruction limit
% 1.28/0.54 % (2512299)Termination phase: Property scanning
% 1.28/0.54 % (2512299)Time elapsed: 0.001 s
% 1.28/0.54 % (2512299)Peak memory usage: 10 MB
% 1.28/0.54 % (2512299)Instructions burned: 2 (million)
% 1.28/0.54 % (2512296)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=757337270:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.28/0.54 % (2512297)lrs+10_1_si=on:cs=on:random_seed=286001745:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.28/0.54 % (2512303)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=858843257:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.28/0.54 % (2512303)Refutation not found, incomplete strategy
% 1.28/0.54 % (2512303)------------------------------
% 1.28/0.54 % (2512303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.54 % (2512303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2512303)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2512303)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.54 % (2512303)Time elapsed: 0.001 s
% 1.28/0.54 % (2512303)Peak memory usage: 11 MB
% 1.28/0.54 % (2512303)Instructions burned: 1 (million)
% 1.28/0.54 % (2512303)------------------------------
% 1.28/0.54 % (2512303)------------------------------
% 1.28/0.54 % (2512300)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4111562539:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.28/0.54 % (2512297)Instruction limit reached!
% 1.28/0.54 % (2512297)------------------------------
% 1.28/0.54 % (2512297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.54 % (2512297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2512297)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2512297)Termination reason: Instruction limit
% 1.28/0.54 % (2512297)Termination phase: Saturation
% 1.28/0.54 % (2512297)Time elapsed: 0.008 s
% 1.28/0.54 % (2512297)Peak memory usage: 12 MB
% 1.28/0.54 % (2512297)Instructions burned: 8 (million)
% 1.28/0.54 % (2512300)Refutation not found, incomplete strategy
% 1.28/0.54 % (2512300)------------------------------
% 1.28/0.54 % (2512300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.54 % (2512300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2512300)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2512300)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.54 % (2512300)Time elapsed: 0.001 s
% 1.28/0.54 % (2512300)Peak memory usage: 11 MB
% 1.28/0.54 % (2512300)------------------------------
% 1.28/0.54 % (2512300)------------------------------
% 1.28/0.54 % (2512302)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=490504231:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.28/0.54 % (2512302)Refutation not found, incomplete strategy
% 1.28/0.54 % (2512302)------------------------------
% 1.28/0.54 % (2512302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.54 % (2512302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2512302)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2512302)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.54 % (2512302)Time elapsed: 0.002 s
% 1.28/0.54 % (2512302)Peak memory usage: 11 MB
% 1.28/0.54 % (2512302)Instructions burned: 1 (million)
% 1.92/0.60 % (2512302)------------------------------
% 1.92/0.60 % (2512302)------------------------------
% 1.92/0.60 % (2512279)Instruction limit reached!
% 1.92/0.60 % (2512279)------------------------------
% 1.92/0.60 % (2512279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.60 % (2512279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.60 % (2512279)CaDiCaL version: 2.1.3
% 1.92/0.60 % (2512279)Termination reason: Instruction limit
% 1.92/0.60 % (2512279)Termination phase: Saturation
% 1.92/0.60 % (2512279)Time elapsed: 0.107 s
% 1.92/0.60 % (2512279)Peak memory usage: 12 MB
% 1.92/0.60 % (2512279)Instructions burned: 158 (million)
% 1.92/0.60 % (2512308)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1104736350:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.92/0.60 % (2512308)Instruction limit reached!
% 1.92/0.60 % (2512308)------------------------------
% 1.92/0.60 % (2512308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.60 % (2512308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.60 % (2512308)CaDiCaL version: 2.1.3
% 1.92/0.60 % (2512308)Termination reason: Instruction limit
% 1.92/0.60 % (2512308)Termination phase: Saturation
% 1.92/0.60 % (2512308)Time elapsed: 0.007 s
% 1.92/0.60 % (2512308)Peak memory usage: 12 MB
% 1.92/0.60 % (2512308)Instructions burned: 14 (million)
% 1.92/0.60 % (2512309)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3462645681:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.92/0.60 % (2512310)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=433036476:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.92/0.60 % (2512309)Refutation not found, incomplete strategy
% 1.92/0.60 % (2512309)------------------------------
% 1.92/0.60 % (2512309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.60 % (2512309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.60 % (2512309)CaDiCaL version: 2.1.3
% 1.92/0.60 % (2512309)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.60 % (2512309)Time elapsed: 0.002 s
% 1.92/0.60 % (2512309)Peak memory usage: 11 MB
% 1.92/0.60 % (2512309)Instructions burned: 1 (million)
% 1.92/0.60 % (2512309)------------------------------
% 1.92/0.60 % (2512309)------------------------------
% 1.92/0.60 % (2512315)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2767847348:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.92/0.60 % (2512312)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1015448241:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.92/0.60 % (2512312)Refutation not found, incomplete strategy
% 1.92/0.60 % (2512312)------------------------------
% 1.92/0.60 % (2512312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.60 % (2512313)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3394726063:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.92/0.60 % (2512312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.60 % (2512312)CaDiCaL version: 2.1.3
% 1.92/0.60 % (2512312)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.60 % (2512312)Time elapsed: 0.001 s
% 1.92/0.60 % (2512312)Peak memory usage: 11 MB
% 1.92/0.60 % (2512312)------------------------------
% 1.92/0.60 % (2512312)------------------------------
% 1.92/0.60 % (2512310)Instruction limit reached!
% 1.92/0.60 % (2512310)------------------------------
% 1.92/0.60 % (2512310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.60 % (2512310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.60 % (2512310)CaDiCaL version: 2.1.3
% 1.92/0.60 % (2512310)Termination reason: Instruction limit
% 1.92/0.60 % (2512310)Termination phase: Saturation
% 1.92/0.60 % (2512310)Time elapsed: 0.014 s
% 1.92/0.60 % (2512310)Peak memory usage: 12 MB
% 1.92/0.60 % (2512310)Instructions burned: 15 (million)
% 1.92/0.60 % (2512315)Instruction limit reached!
% 1.92/0.60 % (2512315)------------------------------
% 1.92/0.60 % (2512315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.60 % (2512315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.64 % (2512315)CaDiCaL version: 2.1.3
% 1.92/0.64 % (2512315)Termination reason: Instruction limit
% 1.92/0.64 % (2512315)Termination phase: Saturation
% 1.92/0.64 % (2512315)Time elapsed: 0.013 s
% 1.92/0.64 % (2512315)Peak memory usage: 12 MB
% 1.92/0.64 % (2512315)Instructions burned: 34 (million)
% 1.92/0.64 % (2512318)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1417877985:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.92/0.64 % (2512296)Instruction limit reached!
% 1.92/0.64 % (2512296)------------------------------
% 1.92/0.64 % (2512296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.64 % (2512296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.64 % (2512296)CaDiCaL version: 2.1.3
% 1.92/0.64 % (2512296)Termination reason: Instruction limit
% 1.92/0.64 % (2512296)Termination phase: Saturation
% 1.92/0.64 % (2512296)Time elapsed: 0.074 s
% 1.92/0.64 % (2512296)Peak memory usage: 12 MB
% 1.92/0.64 % (2512296)Instructions burned: 87 (million)
% 1.92/0.64 % (2512313)Instruction limit reached!
% 1.92/0.64 % (2512313)------------------------------
% 1.92/0.64 % (2512313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.64 % (2512313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.64 % (2512313)CaDiCaL version: 2.1.3
% 1.92/0.64 % (2512313)Termination reason: Instruction limit
% 1.92/0.64 % (2512313)Termination phase: Saturation
% 1.92/0.64 % (2512313)Time elapsed: 0.023 s
% 1.92/0.64 % (2512313)Peak memory usage: 12 MB
% 1.92/0.64 % (2512313)Instructions burned: 27 (million)
% 1.92/0.64 % (2512323)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.92/0.64 % (2512323)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.92/0.64 % (2512325)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=3569080715:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.92/0.64 % (2512324)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.92/0.64 % (2512323)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=64670660:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.92/0.64 % (2512324)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=904790526:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.92/0.64 % (2512327)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3254436433:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.92/0.64 % (2512325)Instruction limit reached!
% 1.92/0.64 % (2512325)------------------------------
% 1.92/0.64 % (2512325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.64 % (2512325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.64 % (2512325)CaDiCaL version: 2.1.3
% 1.92/0.64 % (2512325)Termination reason: Instruction limit
% 1.92/0.64 % (2512325)Termination phase: Saturation
% 1.92/0.64 % (2512325)Time elapsed: 0.016 s
% 1.92/0.64 % (2512325)Peak memory usage: 12 MB
% 1.92/0.64 % (2512325)Instructions burned: 36 (million)
% 1.92/0.64 % (2512324)Instruction limit reached!
% 1.92/0.64 % (2512324)------------------------------
% 1.92/0.64 % (2512324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.64 % (2512324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.64 % (2512324)CaDiCaL version: 2.1.3
% 1.92/0.64 % (2512324)Termination reason: Instruction limit
% 1.92/0.64 % (2512324)Termination phase: Saturation
% 1.92/0.64 % (2512324)Time elapsed: 0.008 s
% 1.92/0.64 % (2512324)Peak memory usage: 12 MB
% 1.92/0.64 % (2512324)Instructions burned: 8 (million)
% 1.92/0.64 % (2512328)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1715003875:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.49/0.72 % (2512323)Instruction limit reached!
% 2.49/0.72 % (2512323)------------------------------
% 2.49/0.72 % (2512323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.72 % (2512323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.72 % (2512323)CaDiCaL version: 2.1.3
% 2.49/0.72 % (2512323)Termination reason: Instruction limit
% 2.49/0.72 % (2512323)Termination phase: Saturation
% 2.49/0.72 % (2512323)Time elapsed: 0.014 s
% 2.49/0.72 % (2512323)Peak memory usage: 12 MB
% 2.49/0.72 % (2512323)Instructions burned: 14 (million)
% 2.49/0.72 % (2512327)Instruction limit reached!
% 2.49/0.72 % (2512327)------------------------------
% 2.49/0.72 % (2512327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.72 % (2512327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.72 % (2512327)CaDiCaL version: 2.1.3
% 2.49/0.72 % (2512327)Termination reason: Instruction limit
% 2.49/0.72 % (2512327)Termination phase: Saturation
% 2.49/0.72 % (2512327)Time elapsed: 0.007 s
% 2.49/0.72 % (2512327)Peak memory usage: 12 MB
% 2.49/0.72 % (2512327)Instructions burned: 8 (million)
% 2.49/0.72 % (2512335)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1183652275:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.49/0.72 % (2512328)Instruction limit reached!
% 2.49/0.72 % (2512328)------------------------------
% 2.49/0.72 % (2512328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.72 % (2512328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.72 % (2512328)CaDiCaL version: 2.1.3
% 2.49/0.72 % (2512328)Termination reason: Instruction limit
% 2.49/0.72 % (2512328)Termination phase: Saturation
% 2.49/0.72 % (2512328)Time elapsed: 0.019 s
% 2.49/0.72 % (2512328)Peak memory usage: 11 MB
% 2.49/0.72 % (2512328)Instructions burned: 23 (million)
% 2.49/0.72 % (2512318)Instruction limit reached!
% 2.49/0.72 % (2512318)------------------------------
% 2.49/0.72 % (2512318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.72 % (2512318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.72 % (2512318)CaDiCaL version: 2.1.3
% 2.49/0.72 % (2512318)Termination reason: Instruction limit
% 2.49/0.72 % (2512318)Termination phase: Saturation
% 2.49/0.72 % (2512318)Time elapsed: 0.056 s
% 2.49/0.72 % (2512318)Peak memory usage: 12 MB
% 2.49/0.72 % (2512318)Instructions burned: 60 (million)
% 2.49/0.72 % (2512335)Instruction limit reached!
% 2.49/0.72 % (2512335)------------------------------
% 2.49/0.72 % (2512335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.72 % (2512335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.72 % (2512335)CaDiCaL version: 2.1.3
% 2.49/0.72 % (2512335)Termination reason: Instruction limit
% 2.49/0.72 % (2512335)Termination phase: Saturation
% 2.49/0.72 % (2512335)Time elapsed: 0.012 s
% 2.49/0.72 % (2512335)Peak memory usage: 12 MB
% 2.49/0.72 % (2512335)Instructions burned: 21 (million)
% 2.49/0.72 % (2512337)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1427283909:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.49/0.72 % (2512339)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3157117695:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.49/0.72 % (2512338)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3643226695:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.49/0.72 % (2512339)Refutation not found, incomplete strategy
% 2.49/0.72 % (2512339)------------------------------
% 2.49/0.72 % (2512339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.72 % (2512339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.72 % (2512339)CaDiCaL version: 2.1.3
% 2.49/0.72 % (2512339)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.72 % (2512339)Time elapsed: 0.001 s
% 2.49/0.72 % (2512339)Peak memory usage: 11 MB
% 2.49/0.72 % (2512339)Instructions burned: 1 (million)
% 2.49/0.72 % (2512339)------------------------------
% 2.49/0.72 % (2512339)------------------------------
% 2.49/0.72 % (2512345)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3784631324:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.49/0.72 % (2512345)Refutation not found, incomplete strategy
% 2.49/0.72 % (2512345)------------------------------
% 2.92/0.81 % (2512345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.81 % (2512345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.81 % (2512345)CaDiCaL version: 2.1.3
% 2.92/0.81 % (2512345)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.81 % (2512345)Time elapsed: 0.001 s
% 2.92/0.81 % (2512345)Peak memory usage: 10 MB
% 2.92/0.81 % (2512345)Instructions burned: 1 (million)
% 2.92/0.81 % (2512345)------------------------------
% 2.92/0.81 % (2512345)------------------------------
% 2.92/0.81 % (2512344)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.92/0.81 % (2512343)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4218707493:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.92/0.81 % (2512344)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3096534009:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.92/0.81 % (2512349)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=3706608537:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.92/0.81 % (2512349)Refutation not found, incomplete strategy
% 2.92/0.81 % (2512349)------------------------------
% 2.92/0.81 % (2512349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.81 % (2512349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.81 % (2512349)CaDiCaL version: 2.1.3
% 2.92/0.81 % (2512349)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.81 % (2512349)Time elapsed: 0.001 s
% 2.92/0.81 % (2512349)Peak memory usage: 11 MB
% 2.92/0.81 % (2512349)Instructions burned: 1 (million)
% 2.92/0.81 % (2512349)------------------------------
% 2.92/0.81 % (2512349)------------------------------
% 2.92/0.81 % (2512344)Instruction limit reached!
% 2.92/0.81 % (2512344)------------------------------
% 2.92/0.81 % (2512344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.81 % (2512344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.81 % (2512344)CaDiCaL version: 2.1.3
% 2.92/0.81 % (2512344)Termination reason: Instruction limit
% 2.92/0.81 % (2512344)Termination phase: Saturation
% 2.92/0.81 % (2512344)Time elapsed: 0.007 s
% 2.92/0.81 % (2512344)Peak memory usage: 12 MB
% 2.92/0.81 % (2512344)Instructions burned: 7 (million)
% 2.92/0.81 % (2512352)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.92/0.81 % (2512352)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3930449268:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.92/0.81 % (2512356)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2245585055:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.92/0.81 % (2512352)Refutation not found, incomplete strategy
% 2.92/0.81 % (2512352)------------------------------
% 2.92/0.81 % (2512352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.81 % (2512352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.81 % (2512352)CaDiCaL version: 2.1.3
% 2.92/0.81 % (2512352)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.81 % (2512352)Time elapsed: 0.002 s
% 2.92/0.81 % (2512352)Peak memory usage: 11 MB
% 2.92/0.81 % (2512352)Instructions burned: 1 (million)
% 2.92/0.81 % (2512352)------------------------------
% 2.92/0.81 % (2512352)------------------------------
% 2.92/0.81 % (2512343)Instruction limit reached!
% 2.92/0.81 % (2512343)------------------------------
% 2.92/0.81 % (2512343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.81 % (2512343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.81 % (2512343)CaDiCaL version: 2.1.3
% 2.92/0.81 % (2512343)Termination reason: Instruction limit
% 2.92/0.81 % (2512343)Termination phase: Saturation
% 2.92/0.81 % (2512343)Time elapsed: 0.035 s
% 2.92/0.81 % (2512343)Peak memory usage: 12 MB
% 2.92/0.81 % (2512343)Instructions burned: 42 (million)
% 2.92/0.87 % (2512357)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2972488653:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.92/0.87 % (2512357)Refutation not found, incomplete strategy
% 2.92/0.87 % (2512357)------------------------------
% 2.92/0.87 % (2512357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.87 % (2512357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.87 % (2512357)CaDiCaL version: 2.1.3
% 2.92/0.87 % (2512357)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.87 % (2512357)Time elapsed: 0.004 s
% 2.92/0.87 % (2512357)Peak memory usage: 12 MB
% 2.92/0.87 % (2512357)Instructions burned: 3 (million)
% 2.92/0.87 % (2512357)------------------------------
% 2.92/0.87 % (2512357)------------------------------
% 2.92/0.87 % (2512360)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=3103605862:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.92/0.87 % (2512356)Instruction limit reached!
% 2.92/0.87 % (2512356)------------------------------
% 2.92/0.87 % (2512356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.87 % (2512356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.87 % (2512356)CaDiCaL version: 2.1.3
% 2.92/0.87 % (2512356)Termination reason: Instruction limit
% 2.92/0.87 % (2512356)Termination phase: Saturation
% 2.92/0.87 % (2512356)Time elapsed: 0.022 s
% 2.92/0.87 % (2512356)Peak memory usage: 12 MB
% 2.92/0.87 % (2512356)Instructions burned: 25 (million)
% 2.92/0.87 % (2512361)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=679838089:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.92/0.87 % (2512338)Instruction limit reached!
% 2.92/0.87 % (2512338)------------------------------
% 2.92/0.87 % (2512338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.87 % (2512338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.87 % (2512338)CaDiCaL version: 2.1.3
% 2.92/0.87 % (2512338)Termination reason: Instruction limit
% 2.92/0.87 % (2512338)Termination phase: Saturation
% 2.92/0.87 % (2512338)Time elapsed: 0.093 s
% 2.92/0.87 % (2512338)Peak memory usage: 12 MB
% 2.92/0.87 % (2512338)Instructions burned: 144 (million)
% 2.92/0.87 % (2512365)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=867128876:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.92/0.87 % (2512365)Refutation not found, incomplete strategy
% 2.92/0.87 % (2512365)------------------------------
% 2.92/0.87 % (2512365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.87 % (2512365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.87 % (2512365)CaDiCaL version: 2.1.3
% 2.92/0.87 % (2512365)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.87 % (2512365)Time elapsed: 0.002 s
% 2.92/0.87 % (2512365)Peak memory usage: 11 MB
% 2.92/0.87 % (2512365)Instructions burned: 2 (million)
% 2.92/0.87 % (2512363)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=2789276901:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.92/0.87 % (2512365)------------------------------
% 2.92/0.87 % (2512365)------------------------------
% 2.92/0.87 % (2512370)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.92/0.87 % (2512370)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1764386394:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.92/0.87 % (2512368)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=203871333:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.92/0.87 % (2512363)Instruction limit reached!
% 2.92/0.87 % (2512363)------------------------------
% 2.92/0.87 % (2512363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.93 % (2512363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.93 % (2512363)CaDiCaL version: 2.1.3
% 3.39/0.93 % (2512363)Termination reason: Instruction limit
% 3.39/0.93 % (2512363)Termination phase: Saturation
% 3.39/0.93 % (2512363)Time elapsed: 0.043 s
% 3.39/0.93 % (2512363)Peak memory usage: 12 MB
% 3.39/0.93 % (2512363)Instructions burned: 46 (million)
% 3.39/0.93 % (2512368)Instruction limit reached!
% 3.39/0.93 % (2512368)------------------------------
% 3.39/0.93 % (2512368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.93 % (2512368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.93 % (2512368)CaDiCaL version: 2.1.3
% 3.39/0.93 % (2512368)Termination reason: Instruction limit
% 3.39/0.93 % (2512368)Termination phase: Saturation
% 3.39/0.93 % (2512368)Time elapsed: 0.020 s
% 3.39/0.93 % (2512368)Peak memory usage: 12 MB
% 3.39/0.93 % (2512368)Instructions burned: 21 (million)
% 3.39/0.93 % (2512276)Instruction limit reached!
% 3.39/0.93 % (2512276)------------------------------
% 3.39/0.93 % (2512276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.93 % (2512276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.93 % (2512276)CaDiCaL version: 2.1.3
% 3.39/0.93 % (2512276)Termination reason: Instruction limit
% 3.39/0.93 % (2512276)Termination phase: Saturation
% 3.39/0.93 % (2512276)Time elapsed: 0.387 s
% 3.39/0.93 % (2512276)Peak memory usage: 13 MB
% 3.39/0.93 % (2512276)Instructions burned: 635 (million)
% 3.39/0.93 % (2512374)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2417103461:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.39/0.93 % (2512375)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=2374245398:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.39/0.93 % (2512374)Instruction limit reached!
% 3.39/0.93 % (2512374)------------------------------
% 3.39/0.93 % (2512374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.93 % (2512374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.93 % (2512374)CaDiCaL version: 2.1.3
% 3.39/0.93 % (2512374)Termination reason: Instruction limit
% 3.39/0.93 % (2512374)Termination phase: Saturation
% 3.39/0.93 % (2512374)Time elapsed: 0.015 s
% 3.39/0.93 % (2512374)Peak memory usage: 12 MB
% 3.39/0.93 % (2512374)Instructions burned: 14 (million)
% 3.39/0.93 % (2512376)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3325034583:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.39/0.93 % (2512376)Refutation not found, incomplete strategy
% 3.39/0.93 % (2512376)------------------------------
% 3.39/0.93 % (2512376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.93 % (2512376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.93 % (2512376)CaDiCaL version: 2.1.3
% 3.39/0.93 % (2512376)Termination reason: Refutation not found, incomplete strategy
% 3.39/0.93 % (2512376)Time elapsed: 0.003 s
% 3.39/0.93 % (2512376)Peak memory usage: 12 MB
% 3.39/0.93 % (2512376)Instructions burned: 2 (million)
% 3.39/0.93 % (2512376)------------------------------
% 3.39/0.93 % (2512376)------------------------------
% 3.39/0.93 % (2512360)Instruction limit reached!
% 3.39/0.93 % (2512360)------------------------------
% 3.39/0.93 % (2512360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.93 % (2512360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.93 % (2512360)CaDiCaL version: 2.1.3
% 3.39/0.93 % (2512360)Termination reason: Instruction limit
% 3.39/0.93 % (2512360)Termination phase: Saturation
% 3.39/0.93 % (2512360)Time elapsed: 0.133 s
% 3.39/0.93 % (2512360)Peak memory usage: 13 MB
% 3.39/0.93 % (2512360)Instructions burned: 317 (million)
% 3.39/0.93 % (2512380)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2324495051:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.39/0.93 % (2512383)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=3770890984:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.39/0.93 % (2512382)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3927260147:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.39/1.02 % (2512375)Instruction limit reached!
% 3.39/1.02 % (2512375)------------------------------
% 3.39/1.02 % (2512375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/1.02 % (2512375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.02 % (2512375)CaDiCaL version: 2.1.3
% 3.39/1.02 % (2512375)Termination reason: Instruction limit
% 3.39/1.02 % (2512375)Termination phase: Saturation
% 3.39/1.02 % (2512375)Time elapsed: 0.052 s
% 3.39/1.02 % (2512375)Peak memory usage: 12 MB
% 3.39/1.02 % (2512375)Instructions burned: 67 (million)
% 3.39/1.02 % (2512383)Instruction limit reached!
% 3.39/1.02 % (2512383)------------------------------
% 3.39/1.02 % (2512383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/1.02 % (2512383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.02 % (2512383)CaDiCaL version: 2.1.3
% 3.39/1.02 % (2512383)Termination reason: Instruction limit
% 3.39/1.02 % (2512383)Termination phase: Saturation
% 3.39/1.02 % (2512383)Time elapsed: 0.017 s
% 3.39/1.02 % (2512383)Peak memory usage: 12 MB
% 3.39/1.02 % (2512383)Instructions burned: 36 (million)
% 3.39/1.02 % (2512380)Instruction limit reached!
% 3.39/1.02 % (2512380)------------------------------
% 3.39/1.02 % (2512380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/1.02 % (2512380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.02 % (2512380)CaDiCaL version: 2.1.3
% 3.39/1.02 % (2512380)Termination reason: Instruction limit
% 3.39/1.02 % (2512380)Termination phase: Saturation
% 3.39/1.02 % (2512380)Time elapsed: 0.029 s
% 3.39/1.02 % (2512380)Peak memory usage: 12 MB
% 3.39/1.02 % (2512380)Instructions burned: 32 (million)
% 3.39/1.02 % (2512370)Instruction limit reached!
% 3.39/1.02 % (2512370)------------------------------
% 3.39/1.02 % (2512370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/1.02 % (2512370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.02 % (2512370)CaDiCaL version: 2.1.3
% 3.39/1.02 % (2512370)Termination reason: Instruction limit
% 3.39/1.02 % (2512370)Termination phase: Saturation
% 3.39/1.02 % (2512370)Time elapsed: 0.137 s
% 3.39/1.02 % (2512370)Peak memory usage: 12 MB
% 3.39/1.02 % (2512370)Instructions burned: 203 (million)
% 3.39/1.02 % (2512388)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.39/1.02 % (2512387)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2859864997:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.39/1.02 % (2512389)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2006932493:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.39/1.02 % (2512389)Refutation not found, incomplete strategy
% 3.39/1.02 % (2512389)------------------------------
% 3.39/1.02 % (2512389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/1.02 % (2512389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.02 % (2512389)CaDiCaL version: 2.1.3
% 3.39/1.02 % (2512389)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.02 % (2512389)Time elapsed: 0.001 s
% 3.39/1.02 % (2512389)Peak memory usage: 11 MB
% 3.39/1.02 % (2512389)Instructions burned: 1 (million)
% 3.39/1.02 % (2512388)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=840634362:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.39/1.02 % (2512389)------------------------------
% 3.39/1.02 % (2512389)------------------------------
% 3.39/1.02 % (2512387)Refutation not found, incomplete strategy
% 3.39/1.02 % (2512387)------------------------------
% 3.39/1.02 % (2512387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/1.02 % (2512387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.02 % (2512387)CaDiCaL version: 2.1.3
% 3.39/1.02 % (2512387)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.02 % (2512387)Time elapsed: 0.003 s
% 3.39/1.02 % (2512387)Peak memory usage: 12 MB
% 3.39/1.02 % (2512387)Instructions burned: 2 (million)
% 3.39/1.02 % (2512387)------------------------------
% 3.39/1.02 % (2512387)------------------------------
% 3.39/1.02 % (2512390)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=516512499:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.42/1.09 % (2512394)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2142639345:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.42/1.09 % (2512394)Refutation not found, incomplete strategy
% 5.42/1.09 % (2512394)------------------------------
% 5.42/1.09 % (2512394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.09 % (2512394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.09 % (2512394)CaDiCaL version: 2.1.3
% 5.42/1.09 % (2512394)Termination reason: Refutation not found, incomplete strategy
% 5.42/1.09 % (2512394)Time elapsed: 0.001 s
% 5.42/1.09 % (2512394)Peak memory usage: 11 MB
% 5.42/1.09 % (2512394)Instructions burned: 1 (million)
% 5.42/1.09 % (2512394)------------------------------
% 5.42/1.09 % (2512394)------------------------------
% 5.42/1.09 % (2512395)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2627748901:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.42/1.09 % (2512395)Refutation not found, incomplete strategy
% 5.42/1.09 % (2512395)------------------------------
% 5.42/1.09 % (2512395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.09 % (2512395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.09 % (2512395)CaDiCaL version: 2.1.3
% 5.42/1.09 % (2512395)Termination reason: Refutation not found, incomplete strategy
% 5.42/1.09 % (2512395)Time elapsed: 0.002 s
% 5.42/1.09 % (2512395)Peak memory usage: 11 MB
% 5.42/1.09 % (2512395)Instructions burned: 1 (million)
% 5.42/1.09 % (2512399)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3301487843:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.42/1.09 % (2512395)------------------------------
% 5.42/1.09 % (2512395)------------------------------
% 5.42/1.09 % (2512399)Refutation not found, incomplete strategy
% 5.42/1.09 % (2512399)------------------------------
% 5.42/1.09 % (2512399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.09 % (2512399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.09 % (2512399)CaDiCaL version: 2.1.3
% 5.42/1.09 % (2512399)Termination reason: Refutation not found, incomplete strategy
% 5.42/1.09 % (2512399)Time elapsed: 0.001 s
% 5.42/1.09 % (2512399)Peak memory usage: 11 MB
% 5.42/1.09 % (2512399)Instructions burned: 1 (million)
% 5.42/1.09 % (2512399)------------------------------
% 5.42/1.09 % (2512399)------------------------------
% 5.42/1.09 % (2512382)Instruction limit reached!
% 5.42/1.09 % (2512382)------------------------------
% 5.42/1.09 % (2512382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.09 % (2512382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.09 % (2512382)CaDiCaL version: 2.1.3
% 5.42/1.09 % (2512382)Termination reason: Instruction limit
% 5.42/1.09 % (2512382)Termination phase: Saturation
% 5.42/1.09 % (2512382)Time elapsed: 0.098 s
% 5.42/1.09 % (2512382)Peak memory usage: 13 MB
% 5.42/1.09 % (2512382)Instructions burned: 137 (million)
% 5.42/1.09 % (2512402)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=557176613:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.42/1.09 % (2512403)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=440813073:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.42/1.09 % (2512402)Refutation not found, incomplete strategy
% 5.42/1.09 % (2512402)------------------------------
% 5.42/1.09 % (2512402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.09 % (2512402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.09 % (2512402)CaDiCaL version: 2.1.3
% 5.42/1.09 % (2512402)Termination reason: Refutation not found, incomplete strategy
% 5.42/1.09 % (2512402)Time elapsed: 0.002 s
% 5.42/1.09 % (2512402)Peak memory usage: 11 MB
% 5.42/1.09 % (2512402)Instructions burned: 1 (million)
% 5.42/1.09 % (2512402)------------------------------
% 5.42/1.09 % (2512402)------------------------------
% 5.42/1.09 % (2512406)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=809094165:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 5.42/1.09 % (2512406)Refutation not found, incomplete strategy
% 5.42/1.09 % (2512406)------------------------------
% 5.42/1.09 % (2512406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.20 % (2512406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.20 % (2512406)CaDiCaL version: 2.1.3
% 5.87/1.20 % (2512406)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.20 % (2512406)Time elapsed: 0.001 s
% 5.87/1.20 % (2512406)Peak memory usage: 12 MB
% 5.87/1.20 % (2512406)Instructions burned: 2 (million)
% 5.87/1.20 % (2512406)------------------------------
% 5.87/1.20 % (2512406)------------------------------
% 5.87/1.20 % (2512390)Instruction limit reached!
% 5.87/1.20 % (2512390)------------------------------
% 5.87/1.20 % (2512390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.20 % (2512390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.20 % (2512390)CaDiCaL version: 2.1.3
% 5.87/1.20 % (2512390)Termination reason: Instruction limit
% 5.87/1.20 % (2512390)Termination phase: Saturation
% 5.87/1.20 % (2512390)Time elapsed: 0.074 s
% 5.87/1.20 % (2512390)Peak memory usage: 12 MB
% 5.87/1.20 % (2512390)Instructions burned: 97 (million)
% 5.87/1.20 % (2512411)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1940685693:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.87/1.20 % (2512409)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=901905368:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.87/1.20 % (2512403)Instruction limit reached!
% 5.87/1.20 % (2512403)------------------------------
% 5.87/1.20 % (2512403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.20 % (2512403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.20 % (2512403)CaDiCaL version: 2.1.3
% 5.87/1.20 % (2512403)Termination reason: Instruction limit
% 5.87/1.20 % (2512403)Termination phase: Saturation
% 5.87/1.20 % (2512403)Time elapsed: 0.038 s
% 5.87/1.20 % (2512403)Peak memory usage: 12 MB
% 5.87/1.20 % (2512403)Instructions burned: 45 (million)
% 5.87/1.20 % (2512413)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=3258487039:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.87/1.20 % (2512411)Instruction limit reached!
% 5.87/1.20 % (2512411)------------------------------
% 5.87/1.20 % (2512411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.20 % (2512411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.20 % (2512411)CaDiCaL version: 2.1.3
% 5.87/1.20 % (2512411)Termination reason: Instruction limit
% 5.87/1.20 % (2512411)Termination phase: Saturation
% 5.87/1.20 % (2512411)Time elapsed: 0.040 s
% 5.87/1.20 % (2512411)Peak memory usage: 12 MB
% 5.87/1.20 % (2512411)Instructions burned: 97 (million)
% 5.87/1.20 % (2512416)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=1563096365: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_2993 on theBenchmark for (2993ds/105Mi)
% 5.87/1.20 % (2512388)Instruction limit reached!
% 5.87/1.20 % (2512388)------------------------------
% 5.87/1.20 % (2512388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.20 % (2512388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.20 % (2512388)CaDiCaL version: 2.1.3
% 5.87/1.20 % (2512388)Termination reason: Instruction limit
% 5.87/1.20 % (2512388)Termination phase: Saturation
% 5.87/1.20 % (2512388)Time elapsed: 0.144 s
% 5.87/1.20 % (2512388)Peak memory usage: 12 MB
% 5.87/1.20 % (2512388)Instructions burned: 180 (million)
% 5.87/1.20 % (2512420)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=360236026:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 5.87/1.20 % (2512420)Refutation not found, incomplete strategy
% 5.87/1.20 % (2512420)------------------------------
% 5.87/1.20 % (2512420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.87/1.20 % (2512420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.20 % (2512420)CaDiCaL version: 2.1.3
% 5.87/1.20 % (2512420)Termination reason: Refutation not found, incomplete strategy
% 5.87/1.20 % (2512420)Time elapsed: 0.001 s
% 5.87/1.20 % (2512420)Peak memory usage: 11 MB
% 6.15/1.32 % (2512420)Instructions burned: 1 (million)
% 6.15/1.32 % (2512420)------------------------------
% 6.15/1.32 % (2512420)------------------------------
% 6.15/1.32 % (2512418)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=3195421731:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 6.15/1.32 % (2512418)Refutation not found, incomplete strategy
% 6.15/1.32 % (2512418)------------------------------
% 6.15/1.32 % (2512418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.15/1.32 % (2512418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.32 % (2512418)CaDiCaL version: 2.1.3
% 6.15/1.32 % (2512418)Termination reason: Refutation not found, incomplete strategy
% 6.15/1.32 % (2512418)Time elapsed: 0.002 s
% 6.15/1.32 % (2512418)Peak memory usage: 12 MB
% 6.15/1.32 % (2512418)Instructions burned: 1 (million)
% 6.15/1.32 % (2512418)------------------------------
% 6.15/1.32 % (2512418)------------------------------
% 6.15/1.32 % (2512413)Instruction limit reached!
% 6.15/1.32 % (2512413)------------------------------
% 6.15/1.32 % (2512413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.15/1.32 % (2512413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.32 % (2512413)CaDiCaL version: 2.1.3
% 6.15/1.32 % (2512413)Termination reason: Instruction limit
% 6.15/1.32 % (2512413)Termination phase: Saturation
% 6.15/1.32 % (2512413)Time elapsed: 0.054 s
% 6.15/1.32 % (2512413)Peak memory usage: 13 MB
% 6.15/1.32 % (2512413)Instructions burned: 65 (million)
% 6.15/1.32 % (2512424)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=97349983:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.15/1.32 % (2512361)Instruction limit reached!
% 6.15/1.32 % (2512361)------------------------------
% 6.15/1.32 % (2512361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.15/1.32 % (2512361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.32 % (2512361)CaDiCaL version: 2.1.3
% 6.15/1.32 % (2512361)Termination reason: Instruction limit
% 6.15/1.32 % (2512361)Termination phase: Saturation
% 6.15/1.32 % (2512361)Time elapsed: 0.387 s
% 6.15/1.32 % (2512361)Peak memory usage: 13 MB
% 6.15/1.32 % (2512361)Instructions burned: 853 (million)
% 6.15/1.32 % (2512425)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1969527921:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.15/1.32 % (2512424)Instruction limit reached!
% 6.15/1.32 % (2512424)------------------------------
% 6.15/1.32 % (2512424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.15/1.32 % (2512424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.32 % (2512424)CaDiCaL version: 2.1.3
% 6.15/1.32 % (2512424)Termination reason: Instruction limit
% 6.15/1.32 % (2512424)Termination phase: Saturation
% 6.15/1.32 % (2512424)Time elapsed: 0.021 s
% 6.15/1.32 % (2512424)Peak memory usage: 12 MB
% 6.15/1.32 % (2512424)Instructions burned: 36 (million)
% 6.15/1.32 % (2512427)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3450013362:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.15/1.32 % (2512427)Refutation not found, incomplete strategy
% 6.15/1.32 % (2512427)------------------------------
% 6.15/1.32 % (2512427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.15/1.32 % (2512427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.15/1.32 % (2512427)CaDiCaL version: 2.1.3
% 6.15/1.32 % (2512427)Termination reason: Refutation not found, incomplete strategy
% 6.15/1.32 % (2512427)Time elapsed: 0.0000 s
% 6.15/1.32 % (2512427)Peak memory usage: 11 MB
% 6.15/1.32 % (2512427)------------------------------
% 6.15/1.32 % (2512427)------------------------------
% 6.15/1.32 % (2512422)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2862216501:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 6.15/1.32 % (2512416)Instruction limit reached!
% 6.15/1.32 % (2512416)------------------------------
% 6.15/1.32 % (2512416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.11/1.43 % (2512416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.43 % (2512416)CaDiCaL version: 2.1.3
% 7.11/1.43 % (2512416)Termination reason: Instruction limit
% 7.11/1.43 % (2512416)Termination phase: Saturation
% 7.11/1.43 % (2512416)Time elapsed: 0.094 s
% 7.11/1.43 % (2512416)Peak memory usage: 12 MB
% 7.11/1.43 % (2512416)Instructions burned: 105 (million)
% 7.11/1.43 % (2512429)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=481404832:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 7.11/1.43 % (2512429)Instruction limit reached!
% 7.11/1.43 % (2512429)------------------------------
% 7.11/1.43 % (2512429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.11/1.43 % (2512429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.43 % (2512429)CaDiCaL version: 2.1.3
% 7.11/1.43 % (2512429)Termination reason: Instruction limit
% 7.11/1.43 % (2512429)Termination phase: Saturation
% 7.11/1.43 % (2512429)Time elapsed: 0.012 s
% 7.11/1.43 % (2512429)Peak memory usage: 12 MB
% 7.11/1.43 % (2512429)Instructions burned: 23 (million)
% 7.11/1.43 % (2512431)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=541683249:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 7.11/1.43 % (2512435)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.11/1.43 % (2512434)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3111325591:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 7.11/1.43 % (2512434)Refutation not found, incomplete strategy
% 7.11/1.43 % (2512434)------------------------------
% 7.11/1.43 % (2512434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.11/1.43 % (2512434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.43 % (2512434)CaDiCaL version: 2.1.3
% 7.11/1.43 % (2512434)Termination reason: Refutation not found, incomplete strategy
% 7.11/1.43 % (2512434)Time elapsed: 0.001 s
% 7.11/1.43 % (2512434)Peak memory usage: 11 MB
% 7.11/1.43 % (2512434)Instructions burned: 1 (million)
% 7.11/1.43 % (2512434)------------------------------
% 7.11/1.43 % (2512434)------------------------------
% 7.11/1.43 % (2512425)Instruction limit reached!
% 7.11/1.43 % (2512425)------------------------------
% 7.11/1.43 % (2512425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.11/1.43 % (2512425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.43 % (2512425)CaDiCaL version: 2.1.3
% 7.11/1.43 % (2512425)Termination reason: Instruction limit
% 7.11/1.43 % (2512425)Termination phase: Saturation
% 7.11/1.43 % (2512425)Time elapsed: 0.064 s
% 7.11/1.43 % (2512425)Peak memory usage: 12 MB
% 7.11/1.43 % (2512425)Instructions burned: 93 (million)
% 7.11/1.43 % (2512435)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=606103781:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/137Mi)
% 7.11/1.43 % (2512438)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=2862176210:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 7.11/1.43 % (2512440)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3774637415:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 7.11/1.43 % (2512440)Refutation not found, incomplete strategy
% 7.11/1.43 % (2512440)------------------------------
% 7.11/1.43 % (2512440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.11/1.43 % (2512440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.43 % (2512440)CaDiCaL version: 2.1.3
% 7.11/1.43 % (2512440)Termination reason: Refutation not found, incomplete strategy
% 7.11/1.43 % (2512440)Time elapsed: 0.001 s
% 7.11/1.43 % (2512440)Peak memory usage: 11 MB
% 7.11/1.43 % (2512440)------------------------------
% 7.11/1.43 % (2512440)------------------------------
% 7.11/1.43 % (2512443)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.11/1.43 % (2512443)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=335777353:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 7.50/1.52 % (2512409)Instruction limit reached!
% 7.50/1.52 % (2512409)------------------------------
% 7.50/1.52 % (2512409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.52 % (2512409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.52 % (2512409)CaDiCaL version: 2.1.3
% 7.50/1.52 % (2512409)Termination reason: Instruction limit
% 7.50/1.52 % (2512409)Termination phase: Saturation
% 7.50/1.52 % (2512409)Time elapsed: 0.254 s
% 7.50/1.52 % (2512409)Peak memory usage: 12 MB
% 7.50/1.52 % (2512409)Instructions burned: 451 (million)
% 7.50/1.52 % (2512435)Instruction limit reached!
% 7.50/1.52 % (2512435)------------------------------
% 7.50/1.52 % (2512435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.52 % (2512435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.52 % (2512435)CaDiCaL version: 2.1.3
% 7.50/1.52 % (2512435)Termination reason: Instruction limit
% 7.50/1.52 % (2512435)Termination phase: Saturation
% 7.50/1.52 % (2512435)Time elapsed: 0.098 s
% 7.50/1.52 % (2512435)Peak memory usage: 12 MB
% 7.50/1.52 % (2512435)Instructions burned: 137 (million)
% 7.50/1.52 % (2512445)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2276067590:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 7.50/1.52 % (2512447)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1347491761:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 7.50/1.52 % (2512447)Refutation not found, incomplete strategy
% 7.50/1.52 % (2512447)------------------------------
% 7.50/1.52 % (2512447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.52 % (2512447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.52 % (2512447)CaDiCaL version: 2.1.3
% 7.50/1.52 % (2512447)Termination reason: Refutation not found, incomplete strategy
% 7.50/1.52 % (2512447)Time elapsed: 0.003 s
% 7.50/1.52 % (2512447)Peak memory usage: 12 MB
% 7.50/1.52 % (2512447)Instructions burned: 2 (million)
% 7.50/1.52 % (2512447)------------------------------
% 7.50/1.52 % (2512447)------------------------------
% 7.50/1.52 % (2512337)Instruction limit reached!
% 7.50/1.52 % (2512337)------------------------------
% 7.50/1.52 % (2512337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.52 % (2512337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.52 % (2512337)CaDiCaL version: 2.1.3
% 7.50/1.52 % (2512337)Termination reason: Instruction limit
% 7.50/1.52 % (2512337)Termination phase: Saturation
% 7.50/1.52 % (2512337)Time elapsed: 0.710 s
% 7.50/1.52 % (2512337)Peak memory usage: 12 MB
% 7.50/1.52 % (2512337)Instructions burned: 1241 (million)
% 7.50/1.52 % (2512451)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3482859274:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.50/1.52 % (2512422)Instruction limit reached!
% 7.50/1.52 % (2512422)------------------------------
% 7.50/1.52 % (2512422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.52 % (2512422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.52 % (2512422)CaDiCaL version: 2.1.3
% 7.50/1.52 % (2512422)Termination reason: Instruction limit
% 7.50/1.52 % (2512422)Termination phase: Saturation
% 7.50/1.52 % (2512422)Time elapsed: 0.224 s
% 7.50/1.52 % (2512422)Peak memory usage: 13 MB
% 7.50/1.52 % (2512422)Instructions burned: 497 (million)
% 7.50/1.52 % (2512452)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=2422976899: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_2990 on theBenchmark for (2990ds/9840Mi)
% 7.50/1.52 % (2512445)Instruction limit reached!
% 7.50/1.52 % (2512445)------------------------------
% 7.50/1.52 % (2512445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.52 % (2512445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.52 % (2512445)CaDiCaL version: 2.1.3
% 7.50/1.52 % (2512445)Termination reason: Instruction limit
% 7.50/1.52 % (2512445)Termination phase: Saturation
% 7.50/1.52 % (2512445)Time elapsed: 0.081 s
% 7.50/1.57 % (2512445)Peak memory usage: 12 MB
% 7.50/1.57 % (2512445)Instructions burned: 116 (million)
% 7.50/1.57 % (2512454)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=4037922424:i=421:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/421Mi)
% 7.50/1.57 % (2512456)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
% 7.50/1.57 % (2512454)Refutation not found, incomplete strategy
% 7.50/1.57 % (2512454)------------------------------
% 7.50/1.57 % (2512454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.57 % (2512454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.57 % (2512454)CaDiCaL version: 2.1.3
% 7.50/1.57 % (2512454)Termination reason: Refutation not found, incomplete strategy
% 7.50/1.57 % (2512454)Time elapsed: 0.001 s
% 7.50/1.57 % (2512454)Peak memory usage: 11 MB
% 7.50/1.57 % (2512454)Instructions burned: 1 (million)
% 7.50/1.57 % (2512454)------------------------------
% 7.50/1.57 % (2512454)------------------------------
% 7.50/1.57 % (2512456)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=2318829150:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 7.50/1.57 % (2512431)Instruction limit reached!
% 7.50/1.57 % (2512431)------------------------------
% 7.50/1.57 % (2512431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.57 % (2512431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.57 % (2512431)CaDiCaL version: 2.1.3
% 7.50/1.57 % (2512431)Termination reason: Instruction limit
% 7.50/1.57 % (2512431)Termination phase: Saturation
% 7.50/1.57 % (2512431)Time elapsed: 0.263 s
% 7.50/1.57 % (2512431)Peak memory usage: 14 MB
% 7.50/1.57 % (2512431)Instructions burned: 338 (million)
% 7.50/1.57 % (2512459)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2137183944:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.50/1.57 % (2512460)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.50/1.57 % (2512460)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
% 7.50/1.57 % (2512460)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=1462090533:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.50/1.57 % (2512438)Instruction limit reached!
% 7.50/1.57 % (2512438)------------------------------
% 7.50/1.57 % (2512438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.57 % (2512438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.57 % (2512438)CaDiCaL version: 2.1.3
% 7.50/1.57 % (2512438)Termination reason: Instruction limit
% 7.50/1.57 % (2512438)Termination phase: Saturation
% 7.50/1.57 % (2512438)Time elapsed: 0.245 s
% 7.50/1.57 % (2512438)Peak memory usage: 13 MB
% 7.50/1.57 % (2512438)Instructions burned: 341 (million)
% 7.50/1.57 % (2512459)Instruction limit reached!
% 7.50/1.57 % (2512459)------------------------------
% 7.50/1.57 % (2512459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.50/1.57 % (2512459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.50/1.57 % (2512459)CaDiCaL version: 2.1.3
% 7.50/1.57 % (2512459)Termination reason: Instruction limit
% 7.50/1.57 % (2512459)Termination phase: Saturation
% 7.50/1.57 % (2512459)Time elapsed: 0.029 s
% 7.50/1.57 % (2512459)Peak memory usage: 12 MB
% 7.50/1.57 % (2512459)Instructions burned: 32 (million)
% 7.50/1.57 % (2512464)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3229387995:i=111:add=on:fgj=on:rtra=on:fdi=1024_2989 on theBenchmark for (2989ds/111Mi)
% 7.50/1.57 % (2512463)dis+10_2_sil=128000:si=on:random_seed=3010900390:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2989 on theBenchmark for (2989ds/339Mi)
% 7.50/1.57 % (2512463)Refutation not found, incomplete strategy
% 7.50/1.57 % (2512463)------------------------------
% 7.50/1.57 % (2512463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.69 % (2512463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.69 % (2512463)CaDiCaL version: 2.1.3
% 8.35/1.69 % (2512463)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.69 % (2512463)Time elapsed: 0.001 s
% 8.35/1.69 % (2512463)Peak memory usage: 11 MB
% 8.35/1.69 % (2512463)Instructions burned: 1 (million)
% 8.35/1.69 % (2512463)------------------------------
% 8.35/1.69 % (2512463)------------------------------
% 8.35/1.69 % (2512467)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=1148605294:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 8.35/1.69 % (2512467)Refutation not found, incomplete strategy
% 8.35/1.69 % (2512467)------------------------------
% 8.35/1.69 % (2512467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.69 % (2512467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.69 % (2512467)CaDiCaL version: 2.1.3
% 8.35/1.69 % (2512467)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.69 % (2512467)Time elapsed: 0.001 s
% 8.35/1.69 % (2512467)Peak memory usage: 11 MB
% 8.35/1.69 % (2512467)Instructions burned: 1 (million)
% 8.35/1.69 % (2512467)------------------------------
% 8.35/1.69 % (2512467)------------------------------
% 8.35/1.69 % (2512464)Instruction limit reached!
% 8.35/1.69 % (2512464)------------------------------
% 8.35/1.69 % (2512464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.69 % (2512464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.69 % (2512464)CaDiCaL version: 2.1.3
% 8.35/1.69 % (2512464)Termination reason: Instruction limit
% 8.35/1.69 % (2512464)Termination phase: Saturation
% 8.35/1.69 % (2512464)Time elapsed: 0.057 s
% 8.35/1.69 % (2512464)Peak memory usage: 12 MB
% 8.35/1.69 % (2512464)Instructions burned: 112 (million)
% 8.35/1.69 % (2512456)Instruction limit reached!
% 8.35/1.69 % (2512456)------------------------------
% 8.35/1.69 % (2512456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.69 % (2512456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.69 % (2512456)CaDiCaL version: 2.1.3
% 8.35/1.69 % (2512456)Termination reason: Instruction limit
% 8.35/1.69 % (2512456)Termination phase: Saturation
% 8.35/1.69 % (2512456)Time elapsed: 0.152 s
% 8.35/1.69 % (2512456)Peak memory usage: 12 MB
% 8.35/1.69 % (2512456)Instructions burned: 271 (million)
% 8.35/1.69 % (2512469)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=4245519932:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.35/1.69 % (2512469)Refutation not found, incomplete strategy
% 8.35/1.69 % (2512469)------------------------------
% 8.35/1.69 % (2512469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.69 % (2512469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.69 % (2512469)CaDiCaL version: 2.1.3
% 8.35/1.69 % (2512469)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.69 % (2512469)Time elapsed: 0.003 s
% 8.35/1.69 % (2512469)Peak memory usage: 12 MB
% 8.35/1.69 % (2512469)Instructions burned: 2 (million)
% 8.35/1.69 % (2512470)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3696790325:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.35/1.69 % (2512469)------------------------------
% 8.35/1.69 % (2512469)------------------------------
% 8.35/1.69 % (2512470)Refutation not found, incomplete strategy
% 8.35/1.69 % (2512470)------------------------------
% 8.35/1.69 % (2512470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.69 % (2512470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.69 % (2512470)CaDiCaL version: 2.1.3
% 8.35/1.69 % (2512470)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.69 % (2512470)Time elapsed: 0.001 s
% 8.35/1.69 % (2512470)Peak memory usage: 11 MB
% 8.35/1.69 % (2512470)Instructions burned: 1 (million)
% 8.35/1.69 % (2512470)------------------------------
% 8.35/1.69 % (2512470)------------------------------
% 8.35/1.69 % (2512443)Instruction limit reached!
% 8.35/1.69 % (2512443)------------------------------
% 8.35/1.69 % (2512443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.83 % (2512443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.83 % (2512443)CaDiCaL version: 2.1.3
% 9.19/1.83 % (2512443)Termination reason: Instruction limit
% 9.19/1.83 % (2512443)Termination phase: Saturation
% 9.19/1.83 % (2512443)Time elapsed: 0.317 s
% 9.19/1.83 % (2512443)Peak memory usage: 12 MB
% 9.19/1.83 % (2512443)Instructions burned: 373 (million)
% 9.19/1.83 % (2512451)Instruction limit reached!
% 9.19/1.83 % (2512451)------------------------------
% 9.19/1.83 % (2512451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.83 % (2512451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.83 % (2512451)CaDiCaL version: 2.1.3
% 9.19/1.83 % (2512451)Termination reason: Instruction limit
% 9.19/1.83 % (2512451)Termination phase: Saturation
% 9.19/1.83 % (2512451)Time elapsed: 0.218 s
% 9.19/1.83 % (2512451)Peak memory usage: 12 MB
% 9.19/1.83 % (2512451)Instructions burned: 270 (million)
% 9.19/1.83 % (2512474)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.19/1.83 % (2512471)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=3896612571:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 9.19/1.83 % (2512471)Refutation not found, incomplete strategy
% 9.19/1.83 % (2512471)------------------------------
% 9.19/1.83 % (2512471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.83 % (2512471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.83 % (2512471)CaDiCaL version: 2.1.3
% 9.19/1.83 % (2512471)Termination reason: Refutation not found, incomplete strategy
% 9.19/1.83 % (2512471)Time elapsed: 0.004 s
% 9.19/1.83 % (2512471)Peak memory usage: 12 MB
% 9.19/1.83 % (2512471)Instructions burned: 3 (million)
% 9.19/1.83 % (2512471)------------------------------
% 9.19/1.83 % (2512471)------------------------------
% 9.19/1.83 % (2512474)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=1451473480:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 9.19/1.83 % (2512475)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2929090090:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 9.19/1.83 % (2512477)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3676659871:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 9.19/1.83 % (2512477)Refutation not found, incomplete strategy
% 9.19/1.83 % (2512477)------------------------------
% 9.19/1.83 % (2512477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.83 % (2512477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.83 % (2512477)CaDiCaL version: 2.1.3
% 9.19/1.83 % (2512477)Termination reason: Refutation not found, incomplete strategy
% 9.19/1.83 % (2512477)Time elapsed: 0.001 s
% 9.19/1.83 % (2512477)Peak memory usage: 11 MB
% 9.19/1.83 % (2512477)Instructions burned: 1 (million)
% 9.19/1.83 % (2512477)------------------------------
% 9.19/1.83 % (2512477)------------------------------
% 9.19/1.83 % (2512475)Refutation not found, incomplete strategy
% 9.19/1.83 % (2512475)------------------------------
% 9.19/1.83 % (2512475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.83 % (2512475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.83 % (2512475)CaDiCaL version: 2.1.3
% 9.19/1.83 % (2512475)Termination reason: Refutation not found, incomplete strategy
% 9.19/1.83 % (2512475)Time elapsed: 0.003 s
% 9.19/1.83 % (2512475)Peak memory usage: 12 MB
% 9.19/1.83 % (2512475)Instructions burned: 3 (million)
% 9.19/1.83 % (2512475)------------------------------
% 9.19/1.83 % (2512475)------------------------------
% 9.19/1.83 % (2512476)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=3621768524:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 9.19/1.83 % (2512485)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3270484804:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 9.19/1.83 % (2512480)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=4110412694:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.94/2.00 % (2512480)Refutation not found, incomplete strategy
% 9.94/2.00 % (2512480)------------------------------
% 9.94/2.00 % (2512480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.94/2.00 % (2512480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.00 % (2512480)CaDiCaL version: 2.1.3
% 9.94/2.00 % (2512480)Termination reason: Refutation not found, incomplete strategy
% 9.94/2.00 % (2512480)Time elapsed: 0.001 s
% 9.94/2.00 % (2512480)Peak memory usage: 11 MB
% 9.94/2.00 % (2512480)Instructions burned: 1 (million)
% 9.94/2.00 % (2512480)------------------------------
% 9.94/2.00 % (2512480)------------------------------
% 9.94/2.00 % (2512484)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1940079934:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 9.94/2.00 % (2512484)Refutation not found, incomplete strategy
% 9.94/2.00 % (2512484)------------------------------
% 9.94/2.00 % (2512484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.94/2.00 % (2512484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.00 % (2512484)CaDiCaL version: 2.1.3
% 9.94/2.00 % (2512484)Termination reason: Refutation not found, incomplete strategy
% 9.94/2.00 % (2512484)Time elapsed: 0.002 s
% 9.94/2.00 % (2512484)Peak memory usage: 11 MB
% 9.94/2.00 % (2512484)Instructions burned: 1 (million)
% 9.94/2.00 % (2512484)------------------------------
% 9.94/2.00 % (2512484)------------------------------
% 9.94/2.00 % (2512492)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3524847524:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 9.94/2.00 % (2512492)Refutation not found, incomplete strategy
% 9.94/2.00 % (2512492)------------------------------
% 9.94/2.00 % (2512492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.94/2.00 % (2512492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.00 % (2512492)CaDiCaL version: 2.1.3
% 9.94/2.00 % (2512492)Termination reason: Refutation not found, incomplete strategy
% 9.94/2.00 % (2512492)Time elapsed: 0.002 s
% 9.94/2.00 % (2512492)Peak memory usage: 11 MB
% 9.94/2.00 % (2512492)Instructions burned: 1 (million)
% 9.94/2.00 % (2512492)------------------------------
% 9.94/2.00 % (2512492)------------------------------
% 9.94/2.00 % (2512490)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=731135810:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 9.94/2.00 % (2512494)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=3554131033:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 9.94/2.00 % (2512490)Instruction limit reached!
% 9.94/2.00 % (2512490)------------------------------
% 9.94/2.00 % (2512490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.94/2.00 % (2512490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.00 % (2512490)CaDiCaL version: 2.1.3
% 9.94/2.00 % (2512490)Termination reason: Instruction limit
% 9.94/2.00 % (2512490)Termination phase: Saturation
% 9.94/2.00 % (2512490)Time elapsed: 0.059 s
% 9.94/2.00 % (2512490)Peak memory usage: 12 MB
% 9.94/2.00 % (2512490)Instructions burned: 76 (million)
% 9.94/2.00 % (2512494)Instruction limit reached!
% 9.94/2.00 % (2512494)------------------------------
% 9.94/2.00 % (2512494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.94/2.00 % (2512494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.00 % (2512494)CaDiCaL version: 2.1.3
% 9.94/2.00 % (2512494)Termination reason: Instruction limit
% 9.94/2.00 % (2512494)Termination phase: Saturation
% 9.94/2.00 % (2512494)Time elapsed: 0.073 s
% 9.94/2.00 % (2512494)Peak memory usage: 12 MB
% 9.94/2.00 % (2512494)Instructions burned: 149 (million)
% 9.94/2.00 % (2512485)Instruction limit reached!
% 9.94/2.00 % (2512485)------------------------------
% 9.94/2.00 % (2512485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.94/2.00 % (2512485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.00 % (2512485)CaDiCaL version: 2.1.3
% 9.94/2.00 % (2512485)Termination reason: Instruction limit
% 9.94/2.00 % (2512485)Termination phase: Saturation
% 13.37/2.26 % (2512485)Time elapsed: 0.128 s
% 13.37/2.26 % (2512485)Peak memory usage: 12 MB
% 13.37/2.26 % (2512485)Instructions burned: 152 (million)
% 13.37/2.26 % (2512497)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1652128109:i=161:piset=and:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/161Mi)
% 13.37/2.26 % (2512499)lrs+10_1_sil=128000:si=on:random_seed=3915449704:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/888Mi)
% 13.37/2.26 % (2512499)Refutation not found, incomplete strategy
% 13.37/2.26 % (2512499)------------------------------
% 13.37/2.26 % (2512499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.26 % (2512499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.26 % (2512499)CaDiCaL version: 2.1.3
% 13.37/2.26 % (2512499)Termination reason: Refutation not found, incomplete strategy
% 13.37/2.26 % (2512499)Time elapsed: 0.002 s
% 13.37/2.26 % (2512499)Peak memory usage: 11 MB
% 13.37/2.26 % (2512499)Instructions burned: 1 (million)
% 13.37/2.26 % (2512499)------------------------------
% 13.37/2.26 % (2512499)------------------------------
% 13.37/2.26 % (2512500)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=1694257472:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 13.37/2.26 % (2512500)Refutation not found, incomplete strategy
% 13.37/2.26 % (2512500)------------------------------
% 13.37/2.26 % (2512500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.26 % (2512500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.26 % (2512500)CaDiCaL version: 2.1.3
% 13.37/2.26 % (2512500)Termination reason: Refutation not found, incomplete strategy
% 13.37/2.26 % (2512500)Time elapsed: 0.004 s
% 13.37/2.26 % (2512500)Peak memory usage: 12 MB
% 13.37/2.26 % (2512500)Instructions burned: 3 (million)
% 13.37/2.26 % (2512500)------------------------------
% 13.37/2.26 % (2512500)------------------------------
% 13.37/2.26 % (2512502)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=3101702994:i=88:s2at=3:nm=2:rtra=on:rawr=on_2985 on theBenchmark for (2985ds/88Mi)
% 13.37/2.26 % (2512504)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1420015940:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2985 on theBenchmark for (2985ds/93Mi)
% 13.37/2.26 % (2512474)Instruction limit reached!
% 13.37/2.26 % (2512474)------------------------------
% 13.37/2.26 % (2512474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.26 % (2512474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.26 % (2512474)CaDiCaL version: 2.1.3
% 13.37/2.26 % (2512474)Termination reason: Instruction limit
% 13.37/2.26 % (2512474)Termination phase: Saturation
% 13.37/2.26 % (2512474)Time elapsed: 0.251 s
% 13.37/2.26 % (2512474)Peak memory usage: 13 MB
% 13.37/2.26 % (2512474)Instructions burned: 282 (million)
% 13.37/2.26 % (2512497)Instruction limit reached!
% 13.37/2.26 % (2512497)------------------------------
% 13.37/2.26 % (2512497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.26 % (2512497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.26 % (2512497)CaDiCaL version: 2.1.3
% 13.37/2.26 % (2512497)Termination reason: Instruction limit
% 13.37/2.26 % (2512497)Termination phase: Saturation
% 13.37/2.26 % (2512497)Time elapsed: 0.098 s
% 13.37/2.26 % (2512497)Peak memory usage: 12 MB
% 13.37/2.26 % (2512497)Instructions burned: 162 (million)
% 13.37/2.26 % (2512507)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=101275257:i=2186:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/2186Mi)
% 13.37/2.26 % (2512502)Instruction limit reached!
% 13.37/2.26 % (2512502)------------------------------
% 13.37/2.26 % (2512502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.26 % (2512502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.26 % (2512502)CaDiCaL version: 2.1.3
% 13.37/2.26 % (2512502)Termination reason: Instruction limit
% 13.37/2.26 % (2512502)Termination phase: Saturation
% 13.37/2.26 % (2512502)Time elapsed: 0.068 s
% 13.37/2.26 % (2512502)Peak memory usage: 13 MB
% 13.37/2.26 % (2512502)Instructions burned: 89 (million)
% 13.37/2.26 % (2512508)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1219743774:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 14.34/2.43 % (2512504)Instruction limit reached!
% 14.34/2.43 % (2512504)------------------------------
% 14.34/2.43 % (2512504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.34/2.43 % (2512504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/2.43 % (2512504)CaDiCaL version: 2.1.3
% 14.34/2.43 % (2512504)Termination reason: Instruction limit
% 14.34/2.43 % (2512504)Termination phase: Saturation
% 14.34/2.43 % (2512504)Time elapsed: 0.078 s
% 14.34/2.43 % (2512504)Peak memory usage: 12 MB
% 14.34/2.43 % (2512504)Instructions burned: 93 (million)
% 14.34/2.43 % (2512510)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2637967194:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/805Mi)
% 14.34/2.43 % (2512460)Instruction limit reached!
% 14.34/2.43 % (2512460)------------------------------
% 14.34/2.43 % (2512460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.34/2.43 % (2512460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/2.43 % (2512460)CaDiCaL version: 2.1.3
% 14.34/2.43 % (2512460)Termination reason: Instruction limit
% 14.34/2.43 % (2512460)Termination phase: Saturation
% 14.34/2.43 % (2512460)Time elapsed: 0.474 s
% 14.34/2.43 % (2512460)Peak memory usage: 13 MB
% 14.34/2.43 % (2512460)Instructions burned: 1441 (million)
% 14.34/2.43 % (2512513)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 14.34/2.43 % (2512513)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=2988427755:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2984 on theBenchmark for (2984ds/391Mi)
% 14.34/2.43 % (2512513)Refutation not found, incomplete strategy
% 14.34/2.43 % (2512513)------------------------------
% 14.34/2.43 % (2512513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.34/2.43 % (2512513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/2.43 % (2512513)CaDiCaL version: 2.1.3
% 14.34/2.43 % (2512513)Termination reason: Refutation not found, incomplete strategy
% 14.34/2.43 % (2512513)Time elapsed: 0.002 s
% 14.34/2.43 % (2512513)Peak memory usage: 11 MB
% 14.34/2.43 % (2512513)Instructions burned: 1 (million)
% 14.34/2.43 % (2512513)------------------------------
% 14.34/2.43 % (2512513)------------------------------
% 14.34/2.43 % (2512514)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=4026934929:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 14.34/2.43 % (2512516)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1951642438:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/314Mi)
% 14.34/2.43 % (2512516)Refutation not found, incomplete strategy
% 14.34/2.43 % (2512516)------------------------------
% 14.34/2.43 % (2512516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.34/2.43 % (2512516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/2.43 % (2512516)CaDiCaL version: 2.1.3
% 14.34/2.43 % (2512516)Termination reason: Refutation not found, incomplete strategy
% 14.34/2.43 % (2512516)Time elapsed: 0.002 s
% 14.34/2.43 % (2512516)Peak memory usage: 11 MB
% 14.34/2.43 % (2512516)Instructions burned: 1 (million)
% 14.34/2.43 % (2512516)------------------------------
% 14.34/2.43 % (2512516)------------------------------
% 14.34/2.43 % (2512519)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3038433962:s2a=on:i=251:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/251Mi)
% 14.34/2.43 % (2512508)Instruction limit reached!
% 14.34/2.43 % (2512508)------------------------------
% 14.34/2.43 % (2512508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.34/2.43 % (2512508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/2.43 % (2512508)CaDiCaL version: 2.1.3
% 14.34/2.43 % (2512508)Termination reason: Instruction limit
% 14.34/2.43 % (2512508)Termination phase: Saturation
% 14.34/2.43 % (2512508)Time elapsed: 0.163 s
% 14.34/2.43 % (2512508)Peak memory usage: 12 MB
% 14.34/2.43 % (2512508)Instructions burned: 240 (million)
% 14.34/2.43 % (2512514)Instruction limit reached!
% 14.34/2.43 % (2512514)------------------------------
% 14.34/2.43 % (2512514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.55 % (2512514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.55 % (2512514)CaDiCaL version: 2.1.3
% 15.03/2.55 % (2512514)Termination reason: Instruction limit
% 15.03/2.55 % (2512514)Termination phase: Saturation
% 15.03/2.55 % (2512514)Time elapsed: 0.111 s
% 15.03/2.55 % (2512514)Peak memory usage: 12 MB
% 15.03/2.55 % (2512514)Instructions burned: 360 (million)
% 15.03/2.55 % (2512526)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3384754923:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2983 on theBenchmark for (2983ds/673Mi)
% 15.03/2.55 % (2512525)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=3319883091: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_2983 on theBenchmark for (2983ds/2470Mi)
% 15.03/2.55 % (2512519)Instruction limit reached!
% 15.03/2.55 % (2512519)------------------------------
% 15.03/2.55 % (2512519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.55 % (2512519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.55 % (2512519)CaDiCaL version: 2.1.3
% 15.03/2.55 % (2512519)Termination reason: Instruction limit
% 15.03/2.55 % (2512519)Termination phase: Saturation
% 15.03/2.55 % (2512519)Time elapsed: 0.198 s
% 15.03/2.55 % (2512519)Peak memory usage: 12 MB
% 15.03/2.55 % (2512519)Instructions burned: 252 (million)
% 15.03/2.55 % (2512529)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=4206906282:i=116:ep=RSTC:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/116Mi)
% 15.03/2.55 % (2512529)Instruction limit reached!
% 15.03/2.55 % (2512529)------------------------------
% 15.03/2.55 % (2512529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.55 % (2512529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.55 % (2512529)CaDiCaL version: 2.1.3
% 15.03/2.55 % (2512529)Termination reason: Instruction limit
% 15.03/2.55 % (2512529)Termination phase: Saturation
% 15.03/2.55 % (2512529)Time elapsed: 0.028 s
% 15.03/2.55 % (2512529)Peak memory usage: 12 MB
% 15.03/2.55 % (2512529)Instructions burned: 119 (million)
% 15.03/2.55 % (2512531)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4217385923:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2981 on theBenchmark for (2981ds/270Mi)
% 15.03/2.55 % (2512526)Instruction limit reached!
% 15.03/2.55 % (2512526)------------------------------
% 15.03/2.55 % (2512526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.55 % (2512526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.55 % (2512526)CaDiCaL version: 2.1.3
% 15.03/2.55 % (2512526)Termination reason: Instruction limit
% 15.03/2.55 % (2512526)Termination phase: Saturation
% 15.03/2.55 % (2512526)Time elapsed: 0.189 s
% 15.03/2.55 % (2512526)Peak memory usage: 12 MB
% 15.03/2.55 % (2512526)Instructions burned: 674 (million)
% 15.03/2.55 % (2512476)Instruction limit reached!
% 15.03/2.55 % (2512476)------------------------------
% 15.03/2.55 % (2512476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.55 % (2512476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.55 % (2512476)CaDiCaL version: 2.1.3
% 15.03/2.55 % (2512476)Termination reason: Instruction limit
% 15.03/2.55 % (2512476)Termination phase: Saturation
% 15.03/2.55 % (2512476)Time elapsed: 0.660 s
% 15.03/2.55 % (2512476)Peak memory usage: 15 MB
% 15.03/2.55 % (2512476)Instructions burned: 866 (million)
% 15.03/2.55 % (2512533)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=2708032685: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_2981 on theBenchmark for (2981ds/30Mi)
% 15.03/2.55 % (2512534)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 15.03/2.55 % (2512534)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=357330459:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2981 on theBenchmark for (2981ds/39Mi)
% 15.03/2.55 % (2512533)Instruction limit reached!
% 15.03/2.55 % (2512533)------------------------------
% 16.79/2.81 % (2512533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.81 % (2512533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.81 % (2512533)CaDiCaL version: 2.1.3
% 16.79/2.81 % (2512533)Termination reason: Instruction limit
% 16.79/2.81 % (2512533)Termination phase: Saturation
% 16.79/2.81 % (2512533)Time elapsed: 0.026 s
% 16.79/2.81 % (2512533)Peak memory usage: 12 MB
% 16.79/2.81 % (2512533)Instructions burned: 31 (million)
% 16.79/2.81 % (2512531)Instruction limit reached!
% 16.79/2.81 % (2512531)------------------------------
% 16.79/2.81 % (2512531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.81 % (2512531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.81 % (2512531)CaDiCaL version: 2.1.3
% 16.79/2.81 % (2512531)Termination reason: Instruction limit
% 16.79/2.81 % (2512531)Termination phase: Saturation
% 16.79/2.81 % (2512531)Time elapsed: 0.098 s
% 16.79/2.81 % (2512531)Peak memory usage: 13 MB
% 16.79/2.81 % (2512531)Instructions burned: 271 (million)
% 16.79/2.81 % (2512534)Instruction limit reached!
% 16.79/2.81 % (2512534)------------------------------
% 16.79/2.81 % (2512534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.81 % (2512534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.81 % (2512534)CaDiCaL version: 2.1.3
% 16.79/2.81 % (2512534)Termination reason: Instruction limit
% 16.79/2.81 % (2512534)Termination phase: Saturation
% 16.79/2.81 % (2512534)Time elapsed: 0.042 s
% 16.79/2.81 % (2512534)Peak memory usage: 12 MB
% 16.79/2.81 % (2512534)Instructions burned: 40 (million)
% 16.79/2.81 % (2512537)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2389225911:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2980 on theBenchmark for (2980ds/365Mi)
% 16.79/2.81 % (2512539)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
% 16.79/2.81 % (2512539)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=1910072684:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/252Mi)
% 16.79/2.81 % (2512538)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3714280703:i=158:av=off:rtra=on_2980 on theBenchmark for (2980ds/158Mi)
% 16.79/2.81 % (2512539)Instruction limit reached!
% 16.79/2.81 % (2512539)------------------------------
% 16.79/2.81 % (2512539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.81 % (2512539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.81 % (2512539)CaDiCaL version: 2.1.3
% 16.79/2.81 % (2512539)Termination reason: Instruction limit
% 16.79/2.81 % (2512539)Termination phase: Saturation
% 16.79/2.81 % (2512539)Time elapsed: 0.093 s
% 16.79/2.81 % (2512539)Peak memory usage: 13 MB
% 16.79/2.81 % (2512539)Instructions burned: 255 (million)
% 16.79/2.81 % (2512510)Instruction limit reached!
% 16.79/2.81 % (2512510)------------------------------
% 16.79/2.81 % (2512510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.81 % (2512510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.81 % (2512510)CaDiCaL version: 2.1.3
% 16.79/2.81 % (2512510)Termination reason: Instruction limit
% 16.79/2.81 % (2512510)Termination phase: Saturation
% 16.79/2.81 % (2512510)Time elapsed: 0.566 s
% 16.79/2.81 % (2512510)Peak memory usage: 14 MB
% 16.79/2.81 % (2512510)Instructions burned: 805 (million)
% 16.79/2.81 % (2512543)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=4248316626:i=213:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/213Mi)
% 16.79/2.81 % (2512543)Refutation not found, incomplete strategy
% 16.79/2.81 % (2512543)------------------------------
% 16.79/2.81 % (2512543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/2.81 % (2512543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/2.81 % (2512543)CaDiCaL version: 2.1.3
% 16.79/2.81 % (2512543)Termination reason: Refutation not found, incomplete strategy
% 16.79/2.81 % (2512543)Time elapsed: 0.001 s
% 16.79/2.81 % (2512543)Peak memory usage: 11 MB
% 16.79/2.81 % (2512543)Instructions burned: 1 (million)
% 16.79/2.81 % (2512543)------------------------------
% 16.79/2.81 % (2512543)------------------------------
% 16.79/2.81 % (2512544)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=819894778:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/160Mi)
% 17.44/2.93 % (2512544)Refutation not found, incomplete strategy
% 17.44/2.93 % (2512544)------------------------------
% 17.44/2.93 % (2512544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.44/2.93 % (2512544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/2.93 % (2512544)CaDiCaL version: 2.1.3
% 17.44/2.93 % (2512544)Termination reason: Refutation not found, incomplete strategy
% 17.44/2.93 % (2512544)Time elapsed: 0.001 s
% 17.44/2.93 % (2512544)Peak memory usage: 11 MB
% 17.44/2.93 % (2512544)Instructions burned: 1 (million)
% 17.44/2.93 % (2512544)------------------------------
% 17.44/2.93 % (2512544)------------------------------
% 17.44/2.93 % (2512538)Instruction limit reached!
% 17.44/2.93 % (2512538)------------------------------
% 17.44/2.93 % (2512538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.44/2.93 % (2512538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/2.93 % (2512538)CaDiCaL version: 2.1.3
% 17.44/2.93 % (2512538)Termination reason: Instruction limit
% 17.44/2.93 % (2512538)Termination phase: Saturation
% 17.44/2.93 % (2512538)Time elapsed: 0.129 s
% 17.44/2.93 % (2512538)Peak memory usage: 12 MB
% 17.44/2.93 % (2512538)Instructions burned: 158 (million)
% 17.44/2.93 % (2512548)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 17.44/2.93 % (2512548)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=1561120682:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2978 on theBenchmark for (2978ds/237Mi)
% 17.44/2.93 % (2512548)Refutation not found, incomplete strategy
% 17.44/2.93 % (2512548)------------------------------
% 17.44/2.93 % (2512548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.44/2.93 % (2512548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/2.93 % (2512548)CaDiCaL version: 2.1.3
% 17.44/2.93 % (2512548)Termination reason: Refutation not found, incomplete strategy
% 17.44/2.93 % (2512548)Time elapsed: 0.001 s
% 17.44/2.93 % (2512548)Peak memory usage: 11 MB
% 17.44/2.93 % (2512548)Instructions burned: 1 (million)
% 17.44/2.93 % (2512546)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3546895857:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/763Mi)
% 17.44/2.93 % (2512548)------------------------------
% 17.44/2.93 % (2512548)------------------------------
% 17.44/2.93 % (2512549)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2222987423:s2a=on:i=386:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/386Mi)
% 17.44/2.93 % (2512552)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2749331276:i=300:piset=and:nm=32:rtra=on_2978 on theBenchmark for (2978ds/300Mi)
% 17.44/2.93 % (2512537)Instruction limit reached!
% 17.44/2.93 % (2512537)------------------------------
% 17.44/2.93 % (2512537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.44/2.93 % (2512537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/2.93 % (2512537)CaDiCaL version: 2.1.3
% 17.44/2.93 % (2512537)Termination reason: Instruction limit
% 17.44/2.93 % (2512537)Termination phase: Saturation
% 17.44/2.93 % (2512537)Time elapsed: 0.228 s
% 17.44/2.93 % (2512537)Peak memory usage: 13 MB
% 17.44/2.93 % (2512537)Instructions burned: 366 (million)
% 17.44/2.93 % (2512555)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=144576143:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/567Mi)
% 17.44/2.93 % (2512555)Refutation not found, incomplete strategy
% 17.44/2.93 % (2512555)------------------------------
% 17.44/2.93 % (2512555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.44/2.93 % (2512555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.44/2.93 % (2512555)CaDiCaL version: 2.1.3
% 17.44/2.93 % (2512555)Termination reason: Refutation not found, incomplete strategy
% 17.44/2.93 % (2512555)Time elapsed: 0.002 s
% 17.44/2.93 % (2512555)Peak memory usage: 11 MB
% 17.44/2.93 % (2512555)Instructions burned: 1 (million)
% 18.34/3.04 % (2512555)------------------------------
% 18.34/3.04 % (2512555)------------------------------
% 18.34/3.04 % (2512557)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3336542676:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2977 on theBenchmark for (2977ds/379Mi)
% 18.34/3.04 % (2512557)Refutation not found, incomplete strategy
% 18.34/3.04 % (2512557)------------------------------
% 18.34/3.04 % (2512557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.04 % (2512557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.04 % (2512557)CaDiCaL version: 2.1.3
% 18.34/3.04 % (2512557)Termination reason: Refutation not found, incomplete strategy
% 18.34/3.04 % (2512557)Time elapsed: 0.001 s
% 18.34/3.04 % (2512557)Peak memory usage: 11 MB
% 18.34/3.04 % (2512557)Instructions burned: 1 (million)
% 18.34/3.04 % (2512557)------------------------------
% 18.34/3.04 % (2512557)------------------------------
% 18.34/3.04 % (2512559)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1541614313:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2977 on theBenchmark for (2977ds/429Mi)
% 18.34/3.04 % (2512549)Instruction limit reached!
% 18.34/3.04 % (2512549)------------------------------
% 18.34/3.04 % (2512549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.04 % (2512549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.04 % (2512549)CaDiCaL version: 2.1.3
% 18.34/3.04 % (2512549)Termination reason: Instruction limit
% 18.34/3.04 % (2512549)Termination phase: Saturation
% 18.34/3.04 % (2512549)Time elapsed: 0.162 s
% 18.34/3.04 % (2512549)Peak memory usage: 13 MB
% 18.34/3.04 % (2512549)Instructions burned: 386 (million)
% 18.34/3.04 % (2512561)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1573103570:i=478:bd=all:rtra=on_2976 on theBenchmark for (2976ds/478Mi)
% 18.34/3.04 % (2512561)Refutation not found, incomplete strategy
% 18.34/3.04 % (2512561)------------------------------
% 18.34/3.04 % (2512561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.04 % (2512561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.04 % (2512561)CaDiCaL version: 2.1.3
% 18.34/3.04 % (2512561)Termination reason: Refutation not found, incomplete strategy
% 18.34/3.04 % (2512561)Time elapsed: 0.001 s
% 18.34/3.04 % (2512561)Peak memory usage: 12 MB
% 18.34/3.04 % (2512561)Instructions burned: 2 (million)
% 18.34/3.04 % (2512561)------------------------------
% 18.34/3.04 % (2512561)------------------------------
% 18.34/3.04 % (2512563)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4201186110:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2976 on theBenchmark for (2976ds/445Mi)
% 18.34/3.04 % (2512552)Instruction limit reached!
% 18.34/3.04 % (2512552)------------------------------
% 18.34/3.04 % (2512552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.04 % (2512552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.04 % (2512552)CaDiCaL version: 2.1.3
% 18.34/3.04 % (2512552)Termination reason: Instruction limit
% 18.34/3.04 % (2512552)Termination phase: Saturation
% 18.34/3.04 % (2512552)Time elapsed: 0.220 s
% 18.34/3.04 % (2512552)Peak memory usage: 12 MB
% 18.34/3.04 % (2512552)Instructions burned: 300 (million)
% 18.34/3.04 % (2512565)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1116515675:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2976 on theBenchmark for (2976ds/71Mi)
% 18.34/3.04 % (2512565)Instruction limit reached!
% 18.34/3.04 % (2512565)------------------------------
% 18.34/3.04 % (2512565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.04 % (2512565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.04 % (2512565)CaDiCaL version: 2.1.3
% 18.34/3.04 % (2512565)Termination reason: Instruction limit
% 18.34/3.04 % (2512565)Termination phase: Saturation
% 18.34/3.04 % (2512565)Time elapsed: 0.063 s
% 18.34/3.04 % (2512565)Peak memory usage: 12 MB
% 18.34/3.04 % (2512565)Instructions burned: 72 (million)
% 18.34/3.04 % (2512567)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2814175459:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/302Mi)
% 18.34/3.04 % (2512567)Refutation not found, incomplete strategy
% 18.34/3.04 % (2512567)------------------------------
% 18.34/3.04 % (2512567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.20 % (2512567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.20 % (2512567)CaDiCaL version: 2.1.3
% 18.34/3.20 % (2512567)Termination reason: Refutation not found, incomplete strategy
% 18.34/3.20 % (2512567)Time elapsed: 0.001 s
% 18.34/3.20 % (2512567)Peak memory usage: 11 MB
% 18.34/3.20 % (2512567)Instructions burned: 1 (million)
% 18.34/3.20 % (2512567)------------------------------
% 18.34/3.20 % (2512567)------------------------------
% 18.34/3.20 % (2512569)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1405665136:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/4980Mi)
% 18.34/3.20 % (2512569)Refutation not found, incomplete strategy
% 18.34/3.20 % (2512569)------------------------------
% 18.34/3.20 % (2512569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.20 % (2512569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.20 % (2512569)CaDiCaL version: 2.1.3
% 18.34/3.20 % (2512569)Termination reason: Refutation not found, incomplete strategy
% 18.34/3.20 % (2512569)Time elapsed: 0.001 s
% 18.34/3.20 % (2512569)Peak memory usage: 11 MB
% 18.34/3.20 % (2512569)Instructions burned: 1 (million)
% 18.34/3.20 % (2512569)------------------------------
% 18.34/3.20 % (2512569)------------------------------
% 18.34/3.20 % (2512571)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
% 18.34/3.20 % (2512571)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 18.34/3.20 % (2512571)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1724964888:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2974 on theBenchmark for (2974ds/100Mi)
% 18.34/3.20 % (2512559)Instruction limit reached!
% 18.34/3.20 % (2512559)------------------------------
% 18.34/3.20 % (2512559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.20 % (2512559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.20 % (2512559)CaDiCaL version: 2.1.3
% 18.34/3.20 % (2512559)Termination reason: Instruction limit
% 18.34/3.20 % (2512559)Termination phase: Saturation
% 18.34/3.20 % (2512559)Time elapsed: 0.292 s
% 18.34/3.20 % (2512559)Peak memory usage: 12 MB
% 18.34/3.20 % (2512559)Instructions burned: 429 (million)
% 18.34/3.20 % (2512571)Instruction limit reached!
% 18.34/3.20 % (2512571)------------------------------
% 18.34/3.20 % (2512571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.20 % (2512571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.20 % (2512571)CaDiCaL version: 2.1.3
% 18.34/3.20 % (2512571)Termination reason: Instruction limit
% 18.34/3.20 % (2512571)Termination phase: Saturation
% 18.34/3.20 % (2512571)Time elapsed: 0.050 s
% 18.34/3.20 % (2512571)Peak memory usage: 12 MB
% 18.34/3.20 % (2512571)Instructions burned: 101 (million)
% 18.34/3.20 % (2512546)Instruction limit reached!
% 18.34/3.20 % (2512546)------------------------------
% 18.34/3.20 % (2512546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.20 % (2512546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.20 % (2512546)CaDiCaL version: 2.1.3
% 18.34/3.20 % (2512546)Termination reason: Instruction limit
% 18.34/3.20 % (2512546)Termination phase: Saturation
% 18.34/3.20 % (2512546)Time elapsed: 0.450 s
% 18.34/3.20 % (2512546)Peak memory usage: 14 MB
% 18.34/3.20 % (2512546)Instructions burned: 763 (million)
% 18.34/3.20 % (2512575)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=1944755855:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2974 on theBenchmark for (2974ds/493Mi)
% 18.34/3.20 % (2512574)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1175927116:i=289:rtra=on_2974 on theBenchmark for (2974ds/289Mi)
% 18.34/3.20 % (2512574)Refutation not found, incomplete strategy
% 18.34/3.20 % (2512574)------------------------------
% 18.34/3.20 % (2512574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.20 % (2512574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.20 % (2512574)CaDiCaL version: 2.1.3
% 20.82/3.36 % (2512574)Termination reason: Refutation not found, incomplete strategy
% 20.82/3.36 % (2512574)Time elapsed: 0.002 s
% 20.82/3.36 % (2512574)Peak memory usage: 12 MB
% 20.82/3.36 % (2512574)Instructions burned: 2 (million)
% 20.82/3.36 % (2512574)------------------------------
% 20.82/3.36 % (2512574)------------------------------
% 20.82/3.36 % (2512573)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=213872792:i=76:piset=equals:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/76Mi)
% 20.82/3.36 % (2512579)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=244655630:cond=on:i=34:hud=10:nm=10:rtra=on_2973 on theBenchmark for (2973ds/34Mi)
% 20.82/3.36 % (2512579)Instruction limit reached!
% 20.82/3.36 % (2512579)------------------------------
% 20.82/3.36 % (2512579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.82/3.36 % (2512579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.36 % (2512579)CaDiCaL version: 2.1.3
% 20.82/3.36 % (2512579)Termination reason: Instruction limit
% 20.82/3.36 % (2512579)Termination phase: Saturation
% 20.82/3.36 % (2512579)Time elapsed: 0.031 s
% 20.82/3.36 % (2512579)Peak memory usage: 12 MB
% 20.82/3.36 % (2512579)Instructions burned: 35 (million)
% 20.82/3.36 % (2512573)Instruction limit reached!
% 20.82/3.36 % (2512573)------------------------------
% 20.82/3.36 % (2512573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.82/3.36 % (2512573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.36 % (2512573)CaDiCaL version: 2.1.3
% 20.82/3.36 % (2512573)Termination reason: Instruction limit
% 20.82/3.36 % (2512573)Termination phase: Saturation
% 20.82/3.36 % (2512573)Time elapsed: 0.065 s
% 20.82/3.36 % (2512573)Peak memory usage: 12 MB
% 20.82/3.36 % (2512573)Instructions burned: 77 (million)
% 20.82/3.36 % (2512563)Instruction limit reached!
% 20.82/3.36 % (2512563)------------------------------
% 20.82/3.36 % (2512563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.82/3.36 % (2512563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.36 % (2512563)CaDiCaL version: 2.1.3
% 20.82/3.36 % (2512563)Termination reason: Instruction limit
% 20.82/3.36 % (2512563)Termination phase: Saturation
% 20.82/3.36 % (2512563)Time elapsed: 0.332 s
% 20.82/3.36 % (2512563)Peak memory usage: 15 MB
% 20.82/3.36 % (2512563)Instructions burned: 445 (million)
% 20.82/3.36 % (2512583)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.82/3.36 % (2512583)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=3015604778:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2973 on theBenchmark for (2973ds/372Mi)
% 20.82/3.36 % (2512584)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1921211650:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2973 on theBenchmark for (2973ds/670Mi)
% 20.82/3.36 % (2512583)Refutation not found, incomplete strategy
% 20.82/3.36 % (2512583)------------------------------
% 20.82/3.36 % (2512583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.82/3.36 % (2512583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.36 % (2512583)CaDiCaL version: 2.1.3
% 20.82/3.36 % (2512583)Termination reason: Refutation not found, incomplete strategy
% 20.82/3.36 % (2512583)Time elapsed: 0.004 s
% 20.82/3.36 % (2512583)Peak memory usage: 11 MB
% 20.82/3.36 % (2512583)Instructions burned: 3 (million)
% 20.82/3.36 % (2512583)------------------------------
% 20.82/3.36 % (2512583)------------------------------
% 20.82/3.36 % (2512585)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=603484190:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/647Mi)
% 20.82/3.36 % (2512585)Refutation not found, incomplete strategy
% 20.82/3.36 % (2512585)------------------------------
% 20.82/3.36 % (2512585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.82/3.36 % (2512585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.36 % (2512585)CaDiCaL version: 2.1.3
% 20.82/3.36 % (2512585)Termination reason: Refutation not found, incomplete strategy
% 20.82/3.36 % (2512585)Time elapsed: 0.001 s
% 20.82/3.36 % (2512585)Peak memory usage: 11 MB
% 22.38/3.65 % (2512585)Instructions burned: 1 (million)
% 22.38/3.65 % (2512585)------------------------------
% 22.38/3.65 % (2512585)------------------------------
% 22.38/3.65 % (2512590)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=1440950300:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2972 on theBenchmark for (2972ds/693Mi)
% 22.38/3.65 % (2512588)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=395313048:i=857:add=off:kws=frequency:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/857Mi)
% 22.38/3.65 % (2512507)Instruction limit reached!
% 22.38/3.65 % (2512507)------------------------------
% 22.38/3.65 % (2512507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.38/3.65 % (2512507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.38/3.65 % (2512507)CaDiCaL version: 2.1.3
% 22.38/3.65 % (2512507)Termination reason: Instruction limit
% 22.38/3.65 % (2512507)Termination phase: Saturation
% 22.38/3.65 % (2512507)Time elapsed: 1.308 s
% 22.38/3.65 % (2512507)Peak memory usage: 13 MB
% 22.38/3.65 % (2512507)Instructions burned: 2187 (million)
% 22.38/3.65 % (2512575)Instruction limit reached!
% 22.38/3.65 % (2512575)------------------------------
% 22.38/3.65 % (2512575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.38/3.65 % (2512575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.38/3.65 % (2512575)CaDiCaL version: 2.1.3
% 22.38/3.65 % (2512575)Termination reason: Instruction limit
% 22.38/3.65 % (2512575)Termination phase: Saturation
% 22.38/3.65 % (2512575)Time elapsed: 0.209 s
% 22.38/3.65 % (2512575)Peak memory usage: 13 MB
% 22.38/3.65 % (2512575)Instructions burned: 495 (million)
% 22.38/3.65 % (2512594)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.38/3.65 % (2512593)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1676989268:i=285:hud=10:bd=all:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/285Mi)
% 22.38/3.65 % (2512594)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=1888533919:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2971 on theBenchmark for (2971ds/52Mi)
% 22.38/3.65 % (2512593)Refutation not found, incomplete strategy
% 22.38/3.65 % (2512593)------------------------------
% 22.38/3.65 % (2512593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.38/3.65 % (2512593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.38/3.65 % (2512593)CaDiCaL version: 2.1.3
% 22.38/3.65 % (2512593)Termination reason: Refutation not found, incomplete strategy
% 22.38/3.65 % (2512593)Time elapsed: 0.002 s
% 22.38/3.65 % (2512593)Peak memory usage: 11 MB
% 22.38/3.65 % (2512593)Instructions burned: 1 (million)
% 22.38/3.65 % (2512593)------------------------------
% 22.38/3.65 % (2512593)------------------------------
% 22.38/3.65 % (2512594)Instruction limit reached!
% 22.38/3.65 % (2512594)------------------------------
% 22.38/3.65 % (2512594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.38/3.65 % (2512594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.38/3.65 % (2512594)CaDiCaL version: 2.1.3
% 22.38/3.65 % (2512594)Termination reason: Instruction limit
% 22.38/3.65 % (2512594)Termination phase: Saturation
% 22.38/3.65 % (2512594)Time elapsed: 0.019 s
% 22.38/3.65 % (2512594)Peak memory usage: 12 MB
% 22.38/3.65 % (2512594)Instructions burned: 55 (million)
% 22.38/3.65 % (2512598)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=3398621968:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/2240Mi)
% 22.38/3.65 % (2512597)dis+10_1_si=on:random_seed=1663179201:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2971 on theBenchmark for (2971ds/407Mi)
% 22.38/3.65 % (2512597)Refutation not found, incomplete strategy
% 22.38/3.65 % (2512597)------------------------------
% 22.38/3.65 % (2512597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.38/3.65 % (2512597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.38/3.65 % (2512597)CaDiCaL version: 2.1.3
% 22.38/3.65 % (2512597)Termination reason: Refutation not found, incomplete strategy
% 23.56/4.00 % (2512597)Time elapsed: 0.001 s
% 23.56/4.00 % (2512597)Peak memory usage: 11 MB
% 23.56/4.00 % (2512597)Instructions burned: 1 (million)
% 23.56/4.00 % (2512597)------------------------------
% 23.56/4.00 % (2512597)------------------------------
% 23.56/4.00 % (2512601)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3800468220:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2971 on theBenchmark for (2971ds/336Mi)
% 23.56/4.00 % (2512601)Refutation not found, incomplete strategy
% 23.56/4.00 % (2512601)------------------------------
% 23.56/4.00 % (2512601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.56/4.00 % (2512601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.56/4.00 % (2512601)CaDiCaL version: 2.1.3
% 23.56/4.00 % (2512601)Termination reason: Refutation not found, incomplete strategy
% 23.56/4.00 % (2512601)Time elapsed: 0.001 s
% 23.56/4.00 % (2512601)Peak memory usage: 11 MB
% 23.56/4.00 % (2512601)Instructions burned: 1 (million)
% 23.56/4.00 % (2512601)------------------------------
% 23.56/4.00 % (2512601)------------------------------
% 23.56/4.00 % (2512603)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1034423698:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2970 on theBenchmark for (2970ds/1142Mi)
% 23.56/4.00 % (2512603)Refutation not found, incomplete strategy
% 23.56/4.00 % (2512603)------------------------------
% 23.56/4.00 % (2512603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.56/4.00 % (2512603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.56/4.00 % (2512603)CaDiCaL version: 2.1.3
% 23.56/4.00 % (2512603)Termination reason: Refutation not found, incomplete strategy
% 23.56/4.00 % (2512603)Time elapsed: 0.020 s
% 23.56/4.00 % (2512603)Peak memory usage: 12 MB
% 23.56/4.00 % (2512603)Instructions burned: 21 (million)
% 23.56/4.00 % (2512603)------------------------------
% 23.56/4.00 % (2512603)------------------------------
% 23.56/4.00 % (2512605)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3158091555:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/376Mi)
% 23.56/4.00 % (2512605)Refutation not found, incomplete strategy
% 23.56/4.00 % (2512605)------------------------------
% 23.56/4.00 % (2512605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.56/4.00 % (2512605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.56/4.00 % (2512605)CaDiCaL version: 2.1.3
% 23.56/4.00 % (2512605)Termination reason: Refutation not found, incomplete strategy
% 23.56/4.00 % (2512605)Time elapsed: 0.001 s
% 23.56/4.00 % (2512605)Peak memory usage: 11 MB
% 23.56/4.00 % (2512605)Instructions burned: 1 (million)
% 23.56/4.00 % (2512605)------------------------------
% 23.56/4.00 % (2512605)------------------------------
% 23.56/4.00 % (2512607)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2311883079:i=766:bd=all:rtra=on_2970 on theBenchmark for (2970ds/766Mi)
% 23.56/4.00 % (2512607)Refutation not found, incomplete strategy
% 23.56/4.00 % (2512607)------------------------------
% 23.56/4.00 % (2512607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.56/4.00 % (2512607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.56/4.00 % (2512607)CaDiCaL version: 2.1.3
% 23.56/4.00 % (2512607)Termination reason: Refutation not found, incomplete strategy
% 23.56/4.00 % (2512607)Time elapsed: 0.002 s
% 23.56/4.00 % (2512607)Peak memory usage: 12 MB
% 23.56/4.00 % (2512607)Instructions burned: 2 (million)
% 23.56/4.00 % (2512607)------------------------------
% 23.56/4.00 % (2512607)------------------------------
% 23.56/4.00 % (2512609)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 23.56/4.00 % (2512609)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=361116421: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_2969 on theBenchmark for (2969ds/959Mi)
% 23.56/4.00 % (2512609)Refutation not found, incomplete strategy
% 23.56/4.00 % (2512609)------------------------------
% 23.56/4.00 % (2512609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.56/4.00 % (2512609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.56/4.00 % (2512609)CaDiCaL version: 2.1.3
% 23.56/4.00 % (2512609)Termination reason: Refutation not found, incomplete strategy
% 26.85/4.24 % (2512609)Time elapsed: 0.001 s
% 26.85/4.24 % (2512609)Peak memory usage: 11 MB
% 26.85/4.24 % (2512609)Instructions burned: 1 (million)
% 26.85/4.24 % (2512609)------------------------------
% 26.85/4.24 % (2512609)------------------------------
% 26.85/4.24 % (2512612)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=973865739:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2969 on theBenchmark for (2969ds/6359Mi)
% 26.85/4.24 % (2512590)Instruction limit reached!
% 26.85/4.24 % (2512590)------------------------------
% 26.85/4.24 % (2512590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.85/4.24 % (2512590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.85/4.24 % (2512590)CaDiCaL version: 2.1.3
% 26.85/4.24 % (2512590)Termination reason: Instruction limit
% 26.85/4.24 % (2512590)Termination phase: Saturation
% 26.85/4.24 % (2512590)Time elapsed: 0.426 s
% 26.85/4.24 % (2512590)Peak memory usage: 13 MB
% 26.85/4.24 % (2512590)Instructions burned: 694 (million)
% 26.85/4.24 % (2512615)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4087969196:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2968 on theBenchmark for (2968ds/35Mi)
% 27.47/4.24 % (2512615)Refutation not found, incomplete strategy
% 27.47/4.24 % (2512615)------------------------------
% 27.47/4.24 % (2512615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.47/4.24 % (2512615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/4.24 % (2512615)CaDiCaL version: 2.1.3
% 27.47/4.24 % (2512615)Termination reason: Refutation not found, incomplete strategy
% 27.47/4.24 % (2512615)Time elapsed: 0.001 s
% 27.47/4.24 % (2512615)Peak memory usage: 11 MB
% 27.47/4.24 % (2512615)------------------------------
% 27.47/4.24 % (2512615)------------------------------
% 27.47/4.24 % (2512617)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3141026067:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2968 on theBenchmark for (2968ds/53Mi)
% 27.47/4.24 % (2512584)Instruction limit reached!
% 27.47/4.24 % (2512584)------------------------------
% 27.47/4.24 % (2512584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.47/4.24 % (2512584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/4.24 % (2512584)CaDiCaL version: 2.1.3
% 27.47/4.24 % (2512584)Termination reason: Instruction limit
% 27.47/4.24 % (2512584)Termination phase: Saturation
% 27.47/4.24 % (2512584)Time elapsed: 0.515 s
% 27.47/4.24 % (2512584)Peak memory usage: 12 MB
% 27.47/4.24 % (2512584)Instructions burned: 670 (million)
% 27.47/4.24 % (2512619)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2106665275:s2a=on:i=876:s2at=6:nm=2:rtra=on_2967 on theBenchmark for (2967ds/876Mi)
% 27.47/4.24 % (2512617)Instruction limit reached!
% 27.47/4.24 % (2512617)------------------------------
% 27.47/4.24 % (2512617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.47/4.24 % (2512617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/4.24 % (2512617)CaDiCaL version: 2.1.3
% 27.47/4.24 % (2512617)Termination reason: Instruction limit
% 27.47/4.24 % (2512617)Termination phase: Saturation
% 27.47/4.24 % (2512617)Time elapsed: 0.049 s
% 27.47/4.24 % (2512617)Peak memory usage: 12 MB
% 27.47/4.24 % (2512617)Instructions burned: 54 (million)
% 27.47/4.24 % (2512621)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1746997887:i=57:ep=R:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/57Mi)
% 27.47/4.24 % (2512588)Instruction limit reached!
% 27.47/4.24 % (2512588)------------------------------
% 27.47/4.24 % (2512588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.47/4.24 % (2512588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.47/4.24 % (2512588)CaDiCaL version: 2.1.3
% 27.47/4.24 % (2512588)Termination reason: Instruction limit
% 27.47/4.24 % (2512588)Termination phase: Saturation
% 27.47/4.24 % (2512588)Time elapsed: 0.557 s
% 27.47/4.24 % (2512588)Peak memory usage: 12 MB
% 27.47/4.24 % (2512588)Instructions burned: 858 (million)
% 27.47/4.24 % (2512623)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.47/4.24 % (2512623)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=286296713:i=306:bd=all:rtra=on_2966 on theBenchmark for (2966ds/306Mi)
% 27.86/4.33 % (2512623)Refutation not found, incomplete strategy
% 27.86/4.33 % (2512623)------------------------------
% 27.86/4.33 % (2512623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.33 % (2512623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/4.33 % (2512623)CaDiCaL version: 2.1.3
% 27.86/4.33 % (2512623)Termination reason: Refutation not found, incomplete strategy
% 27.86/4.33 % (2512623)Time elapsed: 0.002 s
% 27.86/4.33 % (2512623)Peak memory usage: 12 MB
% 27.86/4.33 % (2512623)Instructions burned: 2 (million)
% 27.86/4.33 % (2512623)------------------------------
% 27.86/4.33 % (2512623)------------------------------
% 27.86/4.33 % (2512625)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=652582118:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/262Mi)
% 27.86/4.33 % (2512621)Instruction limit reached!
% 27.86/4.33 % (2512621)------------------------------
% 27.86/4.33 % (2512621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.33 % (2512621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/4.33 % (2512621)CaDiCaL version: 2.1.3
% 27.86/4.33 % (2512621)Termination reason: Instruction limit
% 27.86/4.33 % (2512621)Termination phase: Saturation
% 27.86/4.33 % (2512621)Time elapsed: 0.047 s
% 27.86/4.33 % (2512621)Peak memory usage: 12 MB
% 27.86/4.33 % (2512621)Instructions burned: 57 (million)
% 27.86/4.33 % (2512625)Refutation not found, incomplete strategy
% 27.86/4.33 % (2512625)------------------------------
% 27.86/4.33 % (2512625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.33 % (2512625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/4.33 % (2512625)CaDiCaL version: 2.1.3
% 27.86/4.33 % (2512625)Termination reason: Refutation not found, incomplete strategy
% 27.86/4.33 % (2512625)Time elapsed: 0.001 s
% 27.86/4.33 % (2512625)Peak memory usage: 11 MB
% 27.86/4.33 % (2512625)Instructions burned: 1 (million)
% 27.86/4.33 % (2512625)------------------------------
% 27.86/4.33 % (2512625)------------------------------
% 27.86/4.33 % (2512631)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=601719694:s2a=on:i=381:rtra=on_2966 on theBenchmark for (2966ds/381Mi)
% 27.86/4.33 % (2512629)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 27.86/4.33 % (2512629)ott+1002_16_sil=128000:si=on:random_seed=4243650456:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2966 on theBenchmark for (2966ds/409Mi)
% 27.86/4.33 % (2512525)Instruction limit reached!
% 27.86/4.33 % (2512525)------------------------------
% 27.86/4.33 % (2512525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.33 % (2512525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/4.33 % (2512525)CaDiCaL version: 2.1.3
% 27.86/4.33 % (2512525)Termination reason: Instruction limit
% 27.86/4.33 % (2512525)Termination phase: Saturation
% 27.86/4.33 % (2512525)Time elapsed: 1.836 s
% 27.86/4.33 % (2512525)Peak memory usage: 17 MB
% 27.86/4.33 % (2512525)Instructions burned: 2471 (million)
% 27.86/4.33 % (2512641)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2460067391:cond=on:i=324:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/324Mi)
% 27.86/4.33 % (2512629)Instruction limit reached!
% 27.86/4.33 % (2512629)------------------------------
% 27.86/4.33 % (2512629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.33 % (2512629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/4.33 % (2512629)CaDiCaL version: 2.1.3
% 27.86/4.33 % (2512629)Termination reason: Instruction limit
% 27.86/4.33 % (2512629)Termination phase: Saturation
% 27.86/4.33 % (2512629)Time elapsed: 0.263 s
% 27.86/4.33 % (2512629)Peak memory usage: 13 MB
% 27.86/4.33 % (2512629)Instructions burned: 410 (million)
% 27.86/4.33 % (2512643)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=406773393:i=240:kws=inv_precedence:rtra=on_2963 on theBenchmark for (2963ds/240Mi)
% 27.86/4.33 % (2512643)Refutation not found, incomplete strategy
% 27.86/4.33 % (2512643)------------------------------
% 27.86/4.33 % (2512643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.86/4.33 % (2512643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/4.68 % (2512631)Instruction limit reached!
% 29.30/4.68 % (2512631)------------------------------
% 29.30/4.68 % (2512631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/4.68 % (2512631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/4.68 % (2512643)CaDiCaL version: 2.1.3
% 29.30/4.68 % (2512643)Termination reason: Refutation not found, incomplete strategy
% 29.30/4.68 % (2512643)Time elapsed: 0.003 s
% 29.30/4.68 % (2512643)Peak memory usage: 11 MB
% 29.30/4.68 % (2512643)Instructions burned: 1 (million)
% 29.30/4.68 % (2512631)CaDiCaL version: 2.1.3
% 29.30/4.68 % (2512631)Termination reason: Instruction limit
% 29.30/4.68 % (2512631)Termination phase: Saturation
% 29.30/4.68 % (2512631)Time elapsed: 0.300 s
% 29.30/4.68 % (2512631)Peak memory usage: 12 MB
% 29.30/4.68 % (2512631)Instructions burned: 382 (million)
% 29.30/4.68 % (2512643)------------------------------
% 29.30/4.68 % (2512643)------------------------------
% 29.30/4.68 % (2512645)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 29.30/4.68 % (2512645)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1312474151:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/124Mi)
% 29.30/4.68 % (2512646)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=615934374:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2963 on theBenchmark for (2963ds/223Mi)
% 29.30/4.68 % (2512645)Instruction limit reached!
% 29.30/4.68 % (2512645)------------------------------
% 29.30/4.68 % (2512645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/4.68 % (2512645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/4.68 % (2512645)CaDiCaL version: 2.1.3
% 29.30/4.68 % (2512645)Termination reason: Instruction limit
% 29.30/4.68 % (2512645)Termination phase: Saturation
% 29.30/4.68 % (2512645)Time elapsed: 0.052 s
% 29.30/4.68 % (2512645)Peak memory usage: 12 MB
% 29.30/4.68 % (2512645)Instructions burned: 125 (million)
% 29.30/4.68 % (2512649)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2689595987:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2962 on theBenchmark for (2962ds/282Mi)
% 29.30/4.68 % (2512641)Instruction limit reached!
% 29.30/4.68 % (2512641)------------------------------
% 29.30/4.68 % (2512641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/4.68 % (2512641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/4.68 % (2512641)CaDiCaL version: 2.1.3
% 29.30/4.68 % (2512641)Termination reason: Instruction limit
% 29.30/4.68 % (2512641)Termination phase: Saturation
% 29.30/4.68 % (2512641)Time elapsed: 0.242 s
% 29.30/4.68 % (2512641)Peak memory usage: 12 MB
% 29.30/4.68 % (2512641)Instructions burned: 325 (million)
% 29.30/4.68 % (2512646)Instruction limit reached!
% 29.30/4.68 % (2512646)------------------------------
% 29.30/4.68 % (2512646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/4.68 % (2512646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/4.68 % (2512646)CaDiCaL version: 2.1.3
% 29.30/4.68 % (2512646)Termination reason: Instruction limit
% 29.30/4.68 % (2512646)Termination phase: Saturation
% 29.30/4.68 % (2512646)Time elapsed: 0.143 s
% 29.30/4.68 % (2512646)Peak memory usage: 13 MB
% 29.30/4.68 % (2512646)Instructions burned: 224 (million)
% 29.30/4.68 % (2512651)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=110861895:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/464Mi)
% 29.30/4.68 % (2512651)Refutation not found, incomplete strategy
% 29.30/4.68 % (2512651)------------------------------
% 29.30/4.68 % (2512651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/4.68 % (2512651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/4.68 % (2512651)CaDiCaL version: 2.1.3
% 29.30/4.68 % (2512651)Termination reason: Refutation not found, incomplete strategy
% 29.30/4.68 % (2512651)Time elapsed: 0.003 s
% 29.30/4.68 % (2512651)Peak memory usage: 11 MB
% 29.30/4.68 % (2512651)Instructions burned: 1 (million)
% 29.30/4.68 % (2512651)------------------------------
% 29.30/4.68 % (2512651)------------------------------
% 29.30/4.68 % (2512652)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=3795514636:i=88:s2at=3:nm=2:rtra=on:rawr=on_2961 on theBenchmark for (2961ds/88Mi)
% 29.30/4.68 % (2512654)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=534149015:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2961 on theBenchmark for (2961ds/280Mi)
% 30.86/4.97 % (2512619)Instruction limit reached!
% 30.86/4.97 % (2512619)------------------------------
% 30.86/4.97 % (2512619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/4.97 % (2512619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/4.97 % (2512619)CaDiCaL version: 2.1.3
% 30.86/4.97 % (2512619)Termination reason: Instruction limit
% 30.86/4.97 % (2512619)Termination phase: Saturation
% 30.86/4.97 % (2512619)Time elapsed: 0.684 s
% 30.86/4.97 % (2512619)Peak memory usage: 13 MB
% 30.86/4.97 % (2512619)Instructions burned: 877 (million)
% 30.86/4.97 % (2512652)Instruction limit reached!
% 30.86/4.97 % (2512652)------------------------------
% 30.86/4.97 % (2512652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/4.97 % (2512652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/4.97 % (2512652)CaDiCaL version: 2.1.3
% 30.86/4.97 % (2512652)Termination reason: Instruction limit
% 30.86/4.97 % (2512652)Termination phase: Saturation
% 30.86/4.97 % (2512652)Time elapsed: 0.067 s
% 30.86/4.97 % (2512652)Peak memory usage: 13 MB
% 30.86/4.97 % (2512652)Instructions burned: 88 (million)
% 30.86/4.97 % (2512649)Instruction limit reached!
% 30.86/4.97 % (2512649)------------------------------
% 30.86/4.97 % (2512649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/4.97 % (2512649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/4.97 % (2512649)CaDiCaL version: 2.1.3
% 30.86/4.97 % (2512649)Termination reason: Instruction limit
% 30.86/4.97 % (2512649)Termination phase: Saturation
% 30.86/4.97 % (2512649)Time elapsed: 0.185 s
% 30.86/4.97 % (2512649)Peak memory usage: 13 MB
% 30.86/4.97 % (2512649)Instructions burned: 283 (million)
% 30.86/4.97 % (2512657)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 30.86/4.97 % (2512657)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1394851:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/4386Mi)
% 30.86/4.97 % (2512659)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3443499797:i=73:rtra=on_2960 on theBenchmark for (2960ds/73Mi)
% 30.86/4.97 % (2512658)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 30.86/4.97 % (2512658)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 30.86/4.97 % (2512659)Refutation not found, incomplete strategy
% 30.86/4.97 % (2512659)------------------------------
% 30.86/4.97 % (2512659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/4.97 % (2512659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/4.97 % (2512659)CaDiCaL version: 2.1.3
% 30.86/4.97 % (2512659)Termination reason: Refutation not found, incomplete strategy
% 30.86/4.97 % (2512659)Time elapsed: 0.003 s
% 30.86/4.97 % (2512659)Peak memory usage: 12 MB
% 30.86/4.97 % (2512659)Instructions burned: 2 (million)
% 30.86/4.97 % (2512659)------------------------------
% 30.86/4.97 % (2512659)------------------------------
% 30.86/4.97 % (2512658)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=1924014185:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2960 on theBenchmark for (2960ds/483Mi)
% 30.86/4.97 % (2512658)Refutation not found, incomplete strategy
% 30.86/4.97 % (2512658)------------------------------
% 30.86/4.97 % (2512658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/4.97 % (2512658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/4.97 % (2512658)CaDiCaL version: 2.1.3
% 30.86/4.97 % (2512658)Termination reason: Refutation not found, incomplete strategy
% 30.86/4.97 % (2512658)Time elapsed: 0.002 s
% 30.86/4.97 % (2512658)Peak memory usage: 12 MB
% 30.86/4.97 % (2512658)Instructions burned: 1 (million)
% 30.86/4.97 % (2512658)------------------------------
% 30.86/4.97 % (2512658)------------------------------
% 30.86/4.97 % (2512662)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1711617680:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2960 on theBenchmark for (2960ds/176Mi)
% 33.93/5.21 % (2512664)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 33.93/5.21 % (2512664)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2381597608:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2960 on theBenchmark for (2960ds/39Mi)
% 33.93/5.21 % (2512664)Instruction limit reached!
% 33.93/5.21 % (2512664)------------------------------
% 33.93/5.21 % (2512664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512664)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512664)Termination reason: Instruction limit
% 33.93/5.21 % (2512664)Termination phase: Saturation
% 33.93/5.21 % (2512664)Time elapsed: 0.035 s
% 33.93/5.21 % (2512664)Peak memory usage: 12 MB
% 33.93/5.21 % (2512664)Instructions burned: 39 (million)
% 33.93/5.21 % (2512667)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=51242978:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/708Mi)
% 33.93/5.21 % (2512662)Instruction limit reached!
% 33.93/5.21 % (2512662)------------------------------
% 33.93/5.21 % (2512662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512662)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512662)Termination reason: Instruction limit
% 33.93/5.21 % (2512662)Termination phase: Saturation
% 33.93/5.21 % (2512662)Time elapsed: 0.115 s
% 33.93/5.21 % (2512662)Peak memory usage: 13 MB
% 33.93/5.21 % (2512662)Instructions burned: 176 (million)
% 33.93/5.21 % (2512654)Instruction limit reached!
% 33.93/5.21 % (2512654)------------------------------
% 33.93/5.21 % (2512654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512654)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512654)Termination reason: Instruction limit
% 33.93/5.21 % (2512654)Termination phase: Saturation
% 33.93/5.21 % (2512654)Time elapsed: 0.229 s
% 33.93/5.21 % (2512654)Peak memory usage: 12 MB
% 33.93/5.21 % (2512654)Instructions burned: 280 (million)
% 33.93/5.21 % (2512671)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
% 33.93/5.21 % (2512671)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=2698586653:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/252Mi)
% 33.93/5.21 % (2512672)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=935315987:i=823:fsr=off:rtra=on_2958 on theBenchmark for (2958ds/823Mi)
% 33.93/5.21 % (2512671)Instruction limit reached!
% 33.93/5.21 % (2512671)------------------------------
% 33.93/5.21 % (2512671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512671)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512671)Termination reason: Instruction limit
% 33.93/5.21 % (2512671)Termination phase: Saturation
% 33.93/5.21 % (2512671)Time elapsed: 0.173 s
% 33.93/5.21 % (2512671)Peak memory usage: 12 MB
% 33.93/5.21 % (2512671)Instructions burned: 252 (million)
% 33.93/5.21 % (2512675)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 33.93/5.21 % (2512675)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=4250807943:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2956 on theBenchmark for (2956ds/16202Mi)
% 33.93/5.21 % (2512675)Refutation not found, incomplete strategy
% 33.93/5.21 % (2512675)------------------------------
% 33.93/5.21 % (2512675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512675)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512675)Termination reason: Refutation not found, incomplete strategy
% 33.93/5.21 % (2512675)Time elapsed: 0.001 s
% 33.93/5.21 % (2512675)Peak memory usage: 11 MB
% 33.93/5.21 % (2512675)Instructions burned: 1 (million)
% 33.93/5.21 % (2512675)------------------------------
% 33.93/5.21 % (2512675)------------------------------
% 33.93/5.21 % (2512677)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1157875150:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2956 on theBenchmark for (2956ds/300Mi)
% 33.93/5.21 % (2512598)Instruction limit reached!
% 33.93/5.21 % (2512598)------------------------------
% 33.93/5.21 % (2512598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512598)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512598)Termination reason: Instruction limit
% 33.93/5.21 % (2512598)Termination phase: Saturation
% 33.93/5.21 % (2512598)Time elapsed: 1.595 s
% 33.93/5.21 % (2512598)Peak memory usage: 16 MB
% 33.93/5.21 % (2512598)Instructions burned: 2240 (million)
% 33.93/5.21 % (2512679)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 33.93/5.21 % (2512679)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 33.93/5.21 % (2512679)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3646439879:i=177:add=on:bd=preordered:rtra=on:rawr=on_2955 on theBenchmark for (2955ds/177Mi)
% 33.93/5.21 % (2512667)Instruction limit reached!
% 33.93/5.21 % (2512667)------------------------------
% 33.93/5.21 % (2512667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512667)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512667)Termination reason: Instruction limit
% 33.93/5.21 % (2512667)Termination phase: Saturation
% 33.93/5.21 % (2512667)Time elapsed: 0.464 s
% 33.93/5.21 % (2512667)Peak memory usage: 14 MB
% 33.93/5.21 % (2512667)Instructions burned: 708 (million)
% 33.93/5.21 % (2512681)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1550946637:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2954 on theBenchmark for (2954ds/715Mi)
% 33.93/5.21 % (2512681)Refutation not found, incomplete strategy
% 33.93/5.21 % (2512681)------------------------------
% 33.93/5.21 % (2512681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512681)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512681)Termination reason: Refutation not found, incomplete strategy
% 33.93/5.21 % (2512681)Time elapsed: 0.002 s
% 33.93/5.21 % (2512681)Peak memory usage: 11 MB
% 33.93/5.21 % (2512681)Instructions burned: 2 (million)
% 33.93/5.21 % (2512681)------------------------------
% 33.93/5.21 % (2512681)------------------------------
% 33.93/5.21 % (2512683)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 33.93/5.21 % (2512683)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 33.93/5.21 % (2512683)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=4060764451:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2954 on theBenchmark for (2954ds/230Mi)
% 33.93/5.21 % (2512683)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 33.93/5.21 % (2512677)Instruction limit reached!
% 33.93/5.21 % (2512677)------------------------------
% 33.93/5.21 % (2512677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512677)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512677)Termination reason: Instruction limit
% 33.93/5.21 % (2512677)Termination phase: Saturation
% 33.93/5.21 % (2512677)Time elapsed: 0.240 s
% 33.93/5.21 % (2512677)Peak memory usage: 12 MB
% 33.93/5.21 % (2512677)Instructions burned: 301 (million)
% 33.93/5.21 % (2512679)Instruction limit reached!
% 33.93/5.21 % (2512679)------------------------------
% 33.93/5.21 % (2512679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512679)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512679)Termination reason: Instruction limit
% 33.93/5.21 % (2512679)Termination phase: Saturation
% 33.93/5.21 % (2512679)Time elapsed: 0.143 s
% 33.93/5.21 % (2512679)Peak memory usage: 13 MB
% 33.93/5.21 % (2512679)Instructions burned: 178 (million)
% 33.93/5.21 % (2512685)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=514726502:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2953 on theBenchmark for (2953ds/606Mi)
% 33.93/5.21 % (2512686)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 33.93/5.21 % (2512686)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=194731218:lrd=on:i=841:nm=0:rtra=on_2953 on theBenchmark for (2953ds/841Mi)
% 33.93/5.21 % (2512683)Instruction limit reached!
% 33.93/5.21 % (2512683)------------------------------
% 33.93/5.21 % (2512683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512683)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512683)Termination reason: Instruction limit
% 33.93/5.21 % (2512683)Termination phase: Saturation
% 33.93/5.21 % (2512683)Time elapsed: 0.171 s
% 33.93/5.21 % (2512683)Peak memory usage: 12 MB
% 33.93/5.21 % (2512683)Instructions burned: 231 (million)
% 33.93/5.21 % (2512672)Instruction limit reached!
% 33.93/5.21 % (2512672)------------------------------
% 33.93/5.21 % (2512672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.93/5.21 % (2512672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.93/5.21 % (2512672)CaDiCaL version: 2.1.3
% 33.93/5.21 % (2512672)Termination reason: Instruction limit
% 33.93/5.21 % (2512672)Termination phase: Saturation
% 33.93/5.21 % (2512672)Time elapsed: 0.617 s
% 33.93/5.21 % (2512672)Peak memory usage: 13 MB
% 33.93/5.21 % (2512672)Instructions burned: 823 (million)
% 33.93/5.21 % (2512612) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2512268-2512612"...
% 33.93/5.21 % (2512689)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1533200316:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2952 on theBenchmark for (2952ds/445Mi)
% 33.93/5.21 % (2512690)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1366222700:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2952 on theBenchmark for (2952ds/71Mi)
% 33.93/5.21 % (2512612)...printing done.
% 33.93/5.21 % (2512612)Refutation found. Thanks to Tanya!
% 33.93/5.21 % SZS status Unsatisfiable for theBenchmark
% 33.93/5.21 % SZS output start Proof for theBenchmark
% See solution above
% 34.52/5.30 % (2512612)------------------------------
% 34.52/5.30 % (2512612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.52/5.30 % (2512612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.52/5.30 % (2512612)CaDiCaL version: 2.1.3
% 34.52/5.30 % (2512612)Termination reason: Refutation
% 34.52/5.30 % (2512612)Time elapsed: 1.807 s
% 34.52/5.30 % (2512612)Peak memory usage: 20 MB
% 34.52/5.30 % (2512612)Instructions burned: 3697 (million)
% 34.52/5.30 % (2512268)Success in time 4.949 s
% 34.52/5.30 % Vampire exiting
%------------------------------------------------------------------------------