%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA098^1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:52:35 AM UTC 2026
% Result : Unsatisfiable 71.35s 10.47s
% Output : Refutation 72.23s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vIMP: $o > $o > $o ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( inj
= ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( surj
= ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X0: $i,X2: $i,X1: $i,X3: $i] :
( ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X1: $i,X4: $i,X3: $i,X0: $i,X2: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X2 @ X4 )
| ~ ( 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,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X0 @ X4 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X0 )
| ~ ( b @ X4 @ X1 )
| ~ ( b @ X2 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X0 @ X4 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
inference(rectify,[],[f4]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f14,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X2 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( ( r @ X2 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f8]) ).
thf(f18,plain,
! [X0: $i,X3: $i,X4: $i,X2: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X4 ) )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(flattening,[],[f10]) ).
thf(f19,plain,
! [X0: $i,X3: $i,X2: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f16]) ).
thf(f20,plain,
( ( $true
!= ( surj @ sK0 ) )
& ( $true
= ( inj @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17]) ).
thf(f21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f23,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f24,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f25,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f26,plain,
( $true
= ( inj @ sK0 ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f27,plain,
( $true
!= ( surj @ sK0 ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f32,plain,
( $true
!= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f27,f24]) ).
thf(f33,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f26,f25]) ).
thf(f34,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f32]) ).
thf(f35,plain,
( $false
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f34]) ).
thf(f36,plain,
( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) ) ),
inference(beta-eta_normalization,[],[f35]) ).
thf(f37,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 )
= $false ),
inference(pi_proxy_clausification,[],[f36]) ).
thf(f38,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f39,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
inference(equality_proxy_clausification,[],[f38]) ).
thf(f40,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f41,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f40]) ).
thf(f42,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f41]) ).
thf(f43,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false )
| ( $true
= ( X2 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f44]) ).
thf(f46,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( $true
= ( X2 = X1 ) ) ),
inference(equality_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X0: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f23,f39]) ).
thf(f49,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f23,f39]) ).
thf(f50,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f23,f47]) ).
thf(f53,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( r @ X3 @ X0 ) ) ),
inference(constrained_superposition,[],[f28,f23]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f55,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f28,f48]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f72,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f49]) ).
thf(f73,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f87,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) ) ),
inference(extensionality_resolution,[],[f50,f47]) ).
thf(f89,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f50,f39]) ).
thf(f90,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f50,f39]) ).
thf(f95,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f56,f89]) ).
thf(f96,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f28,f89]) ).
thf(f97,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f95]) ).
thf(f98,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f100,definition,
( spl2_7
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f101,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f100]) ).
thf(f103,definition,
( spl2_8
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f104,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_8 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f106,definition,
( spl2_9
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f107,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f108,plain,
( spl2_7
| ~ spl2_8
| spl2_9 ),
inference(avatar_split_clause,[],[f97,f106,f103,f100]) ).
thf(f109,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| spl2_8 ),
inference(constrained_superposition,[],[f104,f23]) ).
thf(f110,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_8 ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f111,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_8 ),
inference(forward_subsumption_resolution,[],[f110,f39]) ).
thf(f113,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_8 ),
inference(constrained_superposition,[],[f29,f111]) ).
thf(f114,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| spl2_8 ),
inference(trivial_inequality_removal,[],[f113]) ).
thf(f123,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(constrained_superposition,[],[f98,f48]) ).
thf(f124,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f98,f89]) ).
thf(f126,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f123]) ).
thf(f127,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f124]) ).
thf(f128,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f127]) ).
thf(f130,definition,
( spl2_10
<=> ! [X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f131,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f133,definition,
( spl2_11
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f134,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_11 ),
inference(avatar_component_clause,[],[f133]) ).
thf(f135,plain,
( spl2_10
| ~ spl2_11
| spl2_7 ),
inference(avatar_split_clause,[],[f126,f100,f133,f130]) ).
thf(f137,definition,
( spl2_12
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f138,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_12 ),
inference(avatar_component_clause,[],[f137]) ).
thf(f140,definition,
( spl2_13
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f141,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f140]) ).
thf(f143,definition,
( spl2_14
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f144,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f143]) ).
thf(f145,plain,
( ~ spl2_12
| spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f128,f143,f140,f137]) ).
thf(f168,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f56,f90]) ).
thf(f169,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f28,f90]) ).
thf(f170,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f169]) ).
thf(f171,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f173,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) ),
inference(constrained_superposition,[],[f170,f48]) ).
thf(f177,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f173]) ).
thf(f178,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f87,f47]) ).
thf(f180,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f87,f39]) ).
thf(f181,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(extensionality_resolution,[],[f87,f39]) ).
thf(f191,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(constrained_superposition,[],[f98,f180]) ).
thf(f192,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f56,f180]) ).
thf(f193,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f28,f180]) ).
thf(f195,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f193]) ).
thf(f196,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f197,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 @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f191]) ).
thf(f202,definition,
( spl2_16
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f203,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_16 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f206,definition,
( spl2_17
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f207,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f206]) ).
thf(f209,definition,
( spl2_18
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f210,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_18 ),
inference(avatar_component_clause,[],[f209]) ).
thf(f212,definition,
( spl2_19
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f213,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f212]) ).
thf(f214,plain,
( spl2_17
| ~ spl2_18
| spl2_19 ),
inference(avatar_split_clause,[],[f196,f212,f209,f206]) ).
thf(f216,definition,
( spl2_20
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f217,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f216]) ).
thf(f219,definition,
( spl2_21
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f220,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,[],[f219]) ).
thf(f221,plain,
( spl2_20
| spl2_21
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f197,f202,f219,f216]) ).
thf(f230,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_16 ),
inference(constrained_superposition,[],[f203,f23]) ).
thf(f232,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_16 ),
inference(trivial_inequality_removal,[],[f230]) ).
thf(f234,definition,
( spl2_22
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f235,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f234]) ).
thf(f237,definition,
( spl2_23
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f238,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f237]) ).
thf(f239,plain,
( spl2_22
| spl2_23
| spl2_16 ),
inference(avatar_split_clause,[],[f232,f202,f237,f234]) ).
thf(f240,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f217,f180]) ).
thf(f243,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f217,f23]) ).
thf(f246,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,[],[f240]) ).
thf(f247,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f243]) ).
thf(f248,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f246,f90]) ).
thf(f251,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f248]) ).
thf(f259,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) ),
inference(constrained_superposition,[],[f195,f48]) ).
thf(f262,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f195,f180]) ).
thf(f264,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f262]) ).
thf(f265,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f264]) ).
thf(f267,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f259]) ).
thf(f270,definition,
( spl2_24
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f271,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f270]) ).
thf(f273,definition,
( spl2_25
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f274,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_25 ),
inference(avatar_component_clause,[],[f273]) ).
thf(f277,definition,
( spl2_26
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
thf(f278,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_26 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f280,definition,
( spl2_27
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f281,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f280]) ).
thf(f283,definition,
( spl2_28
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
thf(f284,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f283]) ).
thf(f285,plain,
( ~ spl2_26
| spl2_27
| spl2_28 ),
inference(avatar_split_clause,[],[f265,f283,f280,f277]) ).
thf(f287,definition,
( spl2_29
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
thf(f288,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_29 ),
inference(avatar_component_clause,[],[f287]) ).
thf(f290,definition,
( spl2_30
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).
thf(f291,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f290]) ).
thf(f292,plain,
( spl2_17
| ~ spl2_29
| spl2_30 ),
inference(avatar_split_clause,[],[f267,f290,f287,f206]) ).
thf(f293,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_29 ),
inference(constrained_superposition,[],[f288,f48]) ).
thf(f295,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_29 ),
inference(trivial_inequality_removal,[],[f293]) ).
thf(f298,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_29 ),
inference(constrained_superposition,[],[f29,f295]) ).
thf(f299,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_29 ),
inference(trivial_inequality_removal,[],[f298]) ).
thf(f305,definition,
( spl2_31
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f306,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f305]) ).
thf(f349,definition,
( spl2_33
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
thf(f350,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f349]) ).
thf(f355,definition,
( spl2_34
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
thf(f356,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_34 ),
inference(avatar_component_clause,[],[f355]) ).
thf(f358,definition,
( spl2_35
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
thf(f359,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f358]) ).
thf(f372,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f247,f48]) ).
thf(f375,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f372]) ).
thf(f401,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f73,f220]) ).
thf(f403,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f401]) ).
thf(f407,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| spl2_8
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f403,f114]) ).
thf(f416,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f73,f251]) ).
thf(f420,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f416]) ).
thf(f426,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f170,f181]) ).
thf(f428,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f56,f181]) ).
thf(f429,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f28,f181]) ).
thf(f431,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 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f429]) ).
thf(f432,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f426]) ).
thf(f433,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f428]) ).
thf(f439,definition,
( spl2_37
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
thf(f440,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) )
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f439]) ).
thf(f441,plain,
( spl2_22
| spl2_37 ),
inference(avatar_split_clause,[],[f432,f439,f234]) ).
thf(f442,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_22
| spl2_29 ),
inference(constrained_superposition,[],[f299,f235]) ).
thf(f448,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_22
| spl2_29 ),
inference(trivial_inequality_removal,[],[f442]) ).
thf(f487,definition,
( spl2_38
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).
thf(f488,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f487]) ).
thf(f489,plain,
( spl2_38
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f177,f133,f487]) ).
thf(f492,definition,
( spl2_39
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).
thf(f493,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_39 ),
inference(avatar_component_clause,[],[f492]) ).
thf(f495,definition,
( spl2_40
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
thf(f496,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f495]) ).
thf(f497,plain,
( ~ spl2_39
| spl2_40
| ~ spl2_22
| spl2_29 ),
inference(avatar_split_clause,[],[f448,f287,f234,f495,f492]) ).
thf(f499,definition,
( spl2_41
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
thf(f500,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f499]) ).
thf(f501,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_39 ),
inference(avatar_component_clause,[],[f492]) ).
thf(f502,plain,
( spl2_41
| spl2_39 ),
inference(avatar_split_clause,[],[f171,f492,f499]) ).
thf(f504,definition,
( spl2_42
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
thf(f505,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f504]) ).
thf(f511,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f209]) ).
thf(f514,definition,
( spl2_44
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).
thf(f515,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) )
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f514]) ).
thf(f516,plain,
( spl2_18
| spl2_44
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f420,f216,f514,f209]) ).
thf(f517,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f375,f39]) ).
thf(f519,definition,
( spl2_45
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
thf(f520,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f519]) ).
thf(f522,definition,
( spl2_46
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
thf(f523,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f522]) ).
thf(f524,plain,
( spl2_45
| spl2_46 ),
inference(avatar_split_clause,[],[f433,f522,f519]) ).
thf(f526,definition,
( spl2_47
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
thf(f527,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f526]) ).
thf(f528,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_45 ),
inference(avatar_component_clause,[],[f519]) ).
thf(f531,definition,
( spl2_48
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).
thf(f532,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) ) )
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f531]) ).
thf(f533,plain,
( spl2_18
| spl2_48
| spl2_8
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f407,f219,f103,f531,f209]) ).
thf(f541,definition,
( spl2_50
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).
thf(f542,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_50 ),
inference(avatar_component_clause,[],[f541]) ).
thf(f543,plain,
( spl2_39
| spl2_50
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f517,f216,f541,f492]) ).
thf(f546,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_11 ),
inference(constrained_superposition,[],[f134,f48]) ).
thf(f548,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_11 ),
inference(trivial_inequality_removal,[],[f546]) ).
thf(f550,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_45 ),
inference(constrained_superposition,[],[f29,f520]) ).
thf(f551,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f550]) ).
thf(f553,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f28,f511]) ).
thf(f555,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f553]) ).
thf(f573,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f555,f89]) ).
thf(f581,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f573]) ).
thf(f583,definition,
( spl2_51
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).
thf(f584,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_51 ),
inference(avatar_component_clause,[],[f583]) ).
thf(f585,plain,
( spl2_31
| spl2_51
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f581,f209,f583,f305]) ).
thf(f601,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f47,f238]) ).
thf(f631,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_23 ),
inference(equality_resolution,[],[f601]) ).
thf(f632,plain,
( $false
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f631,f39]) ).
thf(f633,plain,
~ spl2_23,
inference(avatar_contradiction_clause,[],[f632]) ).
thf(f634,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| spl2_18 ),
inference(constrained_superposition,[],[f210,f23]) ).
thf(f635,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_18 ),
inference(trivial_inequality_removal,[],[f634]) ).
thf(f636,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_18 ),
inference(forward_subsumption_resolution,[],[f635,f39]) ).
thf(f637,plain,
( spl2_50
| spl2_18 ),
inference(avatar_split_clause,[],[f636,f209,f541]) ).
thf(f639,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f29,f350]) ).
thf(f641,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_33 ),
inference(duplicate_literal_removal,[],[f639]) ).
thf(f642,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f641]) ).
thf(f644,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f646,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f28,f644]) ).
thf(f647,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f646]) ).
thf(f651,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f29,f306]) ).
thf(f652,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f651]) ).
thf(f654,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f271,f23]) ).
thf(f661,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f654]) ).
thf(f664,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f642,f350]) ).
thf(f669,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f664]) ).
thf(f672,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f669,f350]) ).
thf(f676,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_33 ),
inference(duplicate_literal_removal,[],[f672]) ).
thf(f677,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f676]) ).
thf(f681,plain,
( ( $true != $true )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f677,f350]) ).
thf(f688,plain,
( $false
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f681]) ).
thf(f689,plain,
~ spl2_33,
inference(avatar_contradiction_clause,[],[f688]) ).
thf(f691,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f647,f23]) ).
thf(f693,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f647,f90]) ).
thf(f694,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f693]) ).
thf(f695,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f691]) ).
thf(f726,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_8
| ~ spl2_18 ),
inference(constrained_superposition,[],[f694,f511]) ).
thf(f729,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f726]) ).
thf(f731,plain,
( spl2_20
| spl2_22
| ~ spl2_8
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f729,f209,f103,f234,f216]) ).
thf(f746,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f652,f49]) ).
thf(f748,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f746]) ).
thf(f814,definition,
( spl2_54
<=> ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
thf(f815,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f814]) ).
thf(f817,definition,
( spl2_55
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
thf(f818,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f817]) ).
thf(f859,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f661,f23]) ).
thf(f860,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f859]) ).
thf(f887,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_22
| ~ spl2_45 ),
inference(constrained_superposition,[],[f551,f235]) ).
thf(f892,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f29,f235]) ).
thf(f895,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f892]) ).
thf(f897,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_22
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f887]) ).
thf(f901,definition,
( spl2_58
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).
thf(f902,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_58 ),
inference(avatar_component_clause,[],[f901]) ).
thf(f905,definition,
( spl2_59
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f906,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f905]) ).
thf(f908,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_22
| ~ spl2_39
| ~ spl2_45 ),
inference(forward_subsumption_resolution,[],[f897,f501]) ).
thf(f909,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_33 ),
inference(avatar_component_clause,[],[f349]) ).
thf(f911,plain,
( spl2_40
| ~ spl2_22
| ~ spl2_39
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f908,f519,f492,f234,f495]) ).
thf(f912,plain,
( spl2_40
| ~ spl2_39
| ~ spl2_22
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f897,f519,f234,f492,f495]) ).
thf(f914,plain,
( spl2_39
| spl2_11 ),
inference(avatar_split_clause,[],[f548,f133,f492]) ).
thf(f927,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f29,f101]) ).
thf(f928,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f927]) ).
thf(f936,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f73,f860]) ).
thf(f938,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f936]) ).
thf(f941,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_24
| ~ spl2_45 ),
inference(forward_subsumption_resolution,[],[f938,f520]) ).
thf(f943,definition,
( spl2_60
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).
thf(f944,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_60 ),
inference(avatar_component_clause,[],[f943]) ).
thf(f945,plain,
( spl2_60
| spl2_47
| ~ spl2_24
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f941,f519,f270,f526,f943]) ).
thf(f961,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_22
| ~ spl2_47 ),
inference(constrained_superposition,[],[f527,f235]) ).
thf(f965,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_22
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f961]) ).
thf(f968,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_22
| ~ spl2_47 ),
inference(constrained_superposition,[],[f965,f235]) ).
thf(f969,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_22
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f968]) ).
thf(f971,plain,
( $false
| ~ spl2_22
| ~ spl2_45
| ~ spl2_47 ),
inference(forward_subsumption_resolution,[],[f969,f520]) ).
thf(f972,plain,
( ~ spl2_22
| ~ spl2_45
| ~ spl2_47 ),
inference(avatar_contradiction_clause,[],[f971]) ).
thf(f977,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_22 ),
inference(constrained_superposition,[],[f895,f207]) ).
thf(f978,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_17
| ~ spl2_31 ),
inference(constrained_superposition,[],[f652,f207]) ).
thf(f984,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f978]) ).
thf(f985,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) ) )
| ~ spl2_17
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f977]) ).
thf(f987,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f984,f101]) ).
thf(f988,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f985,f101]) ).
thf(f998,definition,
( spl2_62
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_62])],[avatar_definition]) ).
thf(f999,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_62 ),
inference(avatar_component_clause,[],[f998]) ).
thf(f1001,definition,
( spl2_63
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_63])],[avatar_definition]) ).
thf(f1002,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_63 ),
inference(avatar_component_clause,[],[f1001]) ).
thf(f1005,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_31 ),
inference(constrained_superposition,[],[f987,f49]) ).
thf(f1011,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1005]) ).
thf(f1013,definition,
( spl2_64
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_64])],[avatar_definition]) ).
thf(f1014,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_64 ),
inference(avatar_component_clause,[],[f1013]) ).
thf(f1015,plain,
( spl2_62
| spl2_64
| ~ spl2_7
| ~ spl2_17
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f1011,f305,f206,f100,f1013,f998]) ).
thf(f1082,definition,
( spl2_67
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).
thf(f1083,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_67 ),
inference(avatar_component_clause,[],[f1082]) ).
thf(f1086,definition,
( spl2_68
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
thf(f1087,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f1086]) ).
thf(f1089,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_22
| ~ spl2_64 ),
inference(constrained_superposition,[],[f1014,f235]) ).
thf(f1091,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_64 ),
inference(constrained_superposition,[],[f1014,f207]) ).
thf(f1096,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f1091]) ).
thf(f1097,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_22
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f1089]) ).
thf(f1104,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_67 ),
inference(constrained_superposition,[],[f1083,f306]) ).
thf(f1113,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_67 ),
inference(trivial_inequality_removal,[],[f1104]) ).
thf(f1115,plain,
( $false
| ~ spl2_22
| ~ spl2_31
| ~ spl2_67 ),
inference(forward_subsumption_resolution,[],[f1113,f235]) ).
thf(f1116,plain,
( ~ spl2_22
| ~ spl2_31
| ~ spl2_67 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
thf(f1185,definition,
( spl2_70
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_70])],[avatar_definition]) ).
thf(f1186,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl2_70 ),
inference(avatar_component_clause,[],[f1185]) ).
thf(f1187,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_50 ),
inference(avatar_component_clause,[],[f541]) ).
thf(f1190,definition,
( spl2_71
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_71])],[avatar_definition]) ).
thf(f1191,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_71 ),
inference(avatar_component_clause,[],[f1190]) ).
thf(f1229,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f695,f48]) ).
thf(f1234,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8 ),
inference(duplicate_literal_removal,[],[f1229]) ).
thf(f1235,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f1234]) ).
thf(f1237,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8
| spl2_39 ),
inference(forward_subsumption_resolution,[],[f1235,f493]) ).
thf(f1238,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8
| spl2_39 ),
inference(constrained_superposition,[],[f1237,f23]) ).
thf(f1243,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8
| spl2_39 ),
inference(trivial_inequality_removal,[],[f1238]) ).
thf(f1283,definition,
( spl2_74
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).
thf(f1284,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f1283]) ).
thf(f1287,definition,
( spl2_75
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).
thf(f1288,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_75 ),
inference(avatar_component_clause,[],[f1287]) ).
thf(f1313,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ X1 ) ) )
| ( ( r @ X2 @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( r @ X2 @ ( sK0 @ X1 ) )
!= $true )
| ( $true
!= ( r @ X2 @ sK1 ) ) ),
inference(extensionality_resolution,[],[f54,f39]) ).
thf(f1325,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( sK1 = X1 )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ X1 ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f54,f511]) ).
thf(f1331,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f1325]) ).
thf(f1339,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f1313,f48]) ).
thf(f1341,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(constrained_superposition,[],[f1313,f90]) ).
thf(f1345,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f1313,f181]) ).
thf(f1348,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(duplicate_literal_removal,[],[f1339]) ).
thf(f1349,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f1348]) ).
thf(f1350,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f1341]) ).
thf(f1351,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f1345]) ).
thf(f1379,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( sK1 = X1 )
| ( $true != $true ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f1331,f23]) ).
thf(f1388,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f1379]) ).
thf(f1389,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(constrained_superposition,[],[f1349,f23]) ).
thf(f1392,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f1349,f90]) ).
thf(f1396,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f1349,f181]) ).
thf(f1397,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f1396]) ).
thf(f1402,plain,
! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f1392]) ).
thf(f1405,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f1389]) ).
thf(f1406,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_39 ),
inference(forward_subsumption_resolution,[],[f1402,f493]) ).
thf(f1407,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_22
| spl2_39
| ~ spl2_64 ),
inference(forward_subsumption_resolution,[],[f1406,f1097]) ).
thf(f1410,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_22
| spl2_39
| ~ spl2_64 ),
inference(constrained_superposition,[],[f1407,f23]) ).
thf(f1413,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_22
| spl2_39
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f1410]) ).
thf(f1414,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_22
| spl2_39
| ~ spl2_64 ),
inference(forward_subsumption_resolution,[],[f1413,f39]) ).
thf(f1422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_22
| spl2_39
| ~ spl2_64 ),
inference(constrained_superposition,[],[f988,f1414]) ).
thf(f1437,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_22
| spl2_39
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f1422]) ).
thf(f1445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_22
| spl2_39
| ~ spl2_64 ),
inference(forward_subsumption_resolution,[],[f1437,f1096]) ).
thf(f1452,definition,
( spl2_78
<=> ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).
thf(f1453,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_78 ),
inference(avatar_component_clause,[],[f1452]) ).
thf(f1454,plain,
( spl2_78
| spl2_75
| ~ spl2_7
| ~ spl2_17
| ~ spl2_22
| spl2_39
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f1445,f1013,f492,f234,f206,f100,f1287,f1452]) ).
thf(f1458,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_22
| ~ spl2_40 ),
inference(constrained_superposition,[],[f496,f235]) ).
thf(f1471,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_22
| ~ spl2_40 ),
inference(duplicate_literal_removal,[],[f1458]) ).
thf(f1472,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_22
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f1471]) ).
thf(f1474,definition,
( spl2_79
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).
thf(f1475,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_79 ),
inference(avatar_component_clause,[],[f1474]) ).
thf(f1478,plain,
( spl2_79
| ~ spl2_22
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f1472,f495,f234,f1474]) ).
thf(f1480,plain,
( ( $true != $true )
| ~ spl2_31
| ~ spl2_79 ),
inference(constrained_superposition,[],[f1475,f306]) ).
thf(f1489,plain,
( $false
| ~ spl2_31
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f1480]) ).
thf(f1490,plain,
( ~ spl2_31
| ~ spl2_79 ),
inference(avatar_contradiction_clause,[],[f1489]) ).
thf(f1547,definition,
( spl2_81
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).
thf(f1548,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_81 ),
inference(avatar_component_clause,[],[f1547]) ).
thf(f1586,definition,
( spl2_82
<=> ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).
thf(f1587,plain,
( ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ~ spl2_82 ),
inference(avatar_component_clause,[],[f1586]) ).
thf(f1763,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 ) ),
inference(constrained_superposition,[],[f1405,f23]) ).
thf(f1769,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X0 ) ),
inference(trivial_inequality_removal,[],[f1763]) ).
thf(f1974,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
inference(extensionality_resolution,[],[f178,f39]) ).
thf(f2091,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f488,f181]) ).
thf(f2101,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f2091]) ).
thf(f2277,definition,
( spl2_93
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_93])],[avatar_definition]) ).
thf(f2278,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_93 ),
inference(avatar_component_clause,[],[f2277]) ).
thf(f2283,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_22
| ~ spl2_93 ),
inference(constrained_superposition,[],[f2278,f235]) ).
thf(f2300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_22
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f2283]) ).
thf(f2305,plain,
( spl2_75
| ~ spl2_22
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f2300,f2277,f234,f1287]) ).
thf(f2309,definition,
( spl2_95
<=> ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_95])],[avatar_definition]) ).
thf(f2310,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ~ spl2_95 ),
inference(avatar_component_clause,[],[f2309]) ).
thf(f2312,definition,
( spl2_96
<=> ! [X1: $i] :
( $true
!= ( b @ sK1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).
thf(f2313,plain,
( ! [X1: $i] :
( $true
!= ( b @ sK1 @ X1 ) )
| ~ spl2_96 ),
inference(avatar_component_clause,[],[f2312]) ).
thf(f2315,definition,
( spl2_97
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_97])],[avatar_definition]) ).
thf(f2316,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_97 ),
inference(avatar_component_clause,[],[f2315]) ).
thf(f2319,definition,
( spl2_98
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_98])],[avatar_definition]) ).
thf(f2320,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_98 ),
inference(avatar_component_clause,[],[f2319]) ).
thf(f2321,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_97 ),
inference(avatar_component_clause,[],[f2315]) ).
thf(f2325,definition,
( spl2_99
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_99])],[avatar_definition]) ).
thf(f2326,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_99 ),
inference(avatar_component_clause,[],[f2325]) ).
thf(f2327,plain,
( spl2_99
| spl2_97 ),
inference(avatar_split_clause,[],[f1350,f2315,f2325]) ).
thf(f2331,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_97 ),
inference(constrained_superposition,[],[f29,f2321]) ).
thf(f2332,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f2331]) ).
thf(f2426,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_31
| ~ spl2_97 ),
inference(constrained_superposition,[],[f2332,f306]) ).
thf(f2447,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_31
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f2426]) ).
thf(f2455,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_31
| ~ spl2_45
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f2447,f520]) ).
thf(f2456,plain,
( spl2_47
| ~ spl2_31
| ~ spl2_45
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f2455,f2315,f519,f305,f526]) ).
thf(f2632,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_75 ),
inference(constrained_superposition,[],[f1288,f306]) ).
thf(f2658,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f2632]) ).
thf(f2665,plain,
( $false
| ~ spl2_22
| ~ spl2_31
| ~ spl2_75 ),
inference(forward_subsumption_resolution,[],[f2658,f235]) ).
thf(f2666,plain,
( ~ spl2_22
| ~ spl2_31
| ~ spl2_75 ),
inference(avatar_contradiction_clause,[],[f2665]) ).
thf(f2760,definition,
( spl2_107
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_107])],[avatar_definition]) ).
thf(f2761,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_107 ),
inference(avatar_component_clause,[],[f2760]) ).
thf(f2820,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(constrained_superposition,[],[f28,f1974]) ).
thf(f2832,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f2820]) ).
thf(f2849,definition,
( spl2_110
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f2850,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f2849]) ).
thf(f2855,definition,
( spl2_112
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_112])],[avatar_definition]) ).
thf(f2856,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_112 ),
inference(avatar_component_clause,[],[f2855]) ).
thf(f2859,definition,
( spl2_113
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_113])],[avatar_definition]) ).
thf(f2860,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_113 ),
inference(avatar_component_clause,[],[f2859]) ).
thf(f2869,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_34 ),
inference(constrained_superposition,[],[f356,f90]) ).
thf(f2871,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_34 ),
inference(trivial_inequality_removal,[],[f2869]) ).
thf(f2874,definition,
( spl2_116
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_116])],[avatar_definition]) ).
thf(f2875,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_116 ),
inference(avatar_component_clause,[],[f2874]) ).
thf(f2877,definition,
( spl2_117
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_117])],[avatar_definition]) ).
thf(f2878,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_117 ),
inference(avatar_component_clause,[],[f2877]) ).
thf(f2880,plain,
( spl2_116
| spl2_34 ),
inference(avatar_split_clause,[],[f2871,f355,f2874]) ).
thf(f2917,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_113 ),
inference(avatar_component_clause,[],[f2859]) ).
thf(f2919,definition,
( spl2_118
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f2920,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f2919]) ).
thf(f2923,definition,
( spl2_119
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_119])],[avatar_definition]) ).
thf(f2924,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_119 ),
inference(avatar_component_clause,[],[f2923]) ).
thf(f2926,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_116
| ~ spl2_117 ),
inference(constrained_superposition,[],[f2875,f2878]) ).
thf(f2947,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_68
| ~ spl2_117 ),
inference(constrained_superposition,[],[f1087,f2878]) ).
thf(f2961,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_117 ),
inference(constrained_superposition,[],[f89,f2878]) ).
thf(f2964,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_117 ),
inference(constrained_superposition,[],[f101,f2878]) ).
thf(f2968,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_117 ),
inference(constrained_superposition,[],[f180,f2878]) ).
thf(f2977,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_117 ),
inference(constrained_superposition,[],[f694,f2878]) ).
thf(f3085,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_8
| spl2_33
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f2977,f909]) ).
thf(f3091,plain,
( $false
| spl2_33
| ~ spl2_116
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f2926,f909]) ).
thf(f3092,plain,
( spl2_33
| ~ spl2_116
| ~ spl2_117 ),
inference(avatar_contradiction_clause,[],[f3091]) ).
thf(f3094,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_7
| spl2_33
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f2964,f909]) ).
thf(f3095,plain,
( $false
| spl2_33
| ~ spl2_68
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f2947,f909]) ).
thf(f3096,plain,
( spl2_33
| ~ spl2_68
| ~ spl2_117 ),
inference(avatar_contradiction_clause,[],[f3095]) ).
thf(f3100,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_26
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f2968,f278]) ).
thf(f3111,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_12
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f2961,f138]) ).
thf(f3120,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_8
| spl2_33
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f3085,f644]) ).
thf(f3124,plain,
( $false
| ~ spl2_7
| spl2_33
| spl2_39
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f3094,f493]) ).
thf(f3125,plain,
( ~ spl2_7
| spl2_33
| spl2_39
| ~ spl2_117 ),
inference(avatar_contradiction_clause,[],[f3124]) ).
thf(f3129,plain,
( $false
| spl2_26
| spl2_71
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f3100,f1191]) ).
thf(f3130,plain,
( spl2_26
| spl2_71
| ~ spl2_117 ),
inference(avatar_contradiction_clause,[],[f3129]) ).
thf(f3134,plain,
( $false
| spl2_12
| spl2_33
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f3111,f909]) ).
thf(f3135,plain,
( spl2_12
| spl2_33
| ~ spl2_117 ),
inference(avatar_contradiction_clause,[],[f3134]) ).
thf(f3140,plain,
( spl2_14
| ~ spl2_8
| spl2_33
| ~ spl2_117 ),
inference(avatar_split_clause,[],[f3120,f2877,f349,f103,f143]) ).
thf(f3169,definition,
( spl2_121
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f3170,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_121 ),
inference(avatar_component_clause,[],[f3169]) ).
thf(f3172,definition,
( spl2_122
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
thf(f3173,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f3172]) ).
thf(f3175,definition,
( spl2_123
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).
thf(f3176,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_123 ),
inference(avatar_component_clause,[],[f3175]) ).
thf(f3218,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_112 ),
inference(constrained_superposition,[],[f2856,f181]) ).
thf(f3223,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_112 ),
inference(trivial_inequality_removal,[],[f3218]) ).
thf(f3226,plain,
( spl2_123
| spl2_112 ),
inference(avatar_split_clause,[],[f3223,f2855,f3175]) ).
thf(f3233,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f2850,f23]) ).
thf(f3240,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f3233]) ).
thf(f3375,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f3240,f48]) ).
thf(f3381,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f3375]) ).
thf(f3422,definition,
( spl2_126
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_126])],[avatar_definition]) ).
thf(f3423,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_126 ),
inference(avatar_component_clause,[],[f3422]) ).
thf(f3425,definition,
( spl2_127
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).
thf(f3426,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_127 ),
inference(avatar_component_clause,[],[f3425]) ).
thf(f3435,definition,
( spl2_130
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_130])],[avatar_definition]) ).
thf(f3436,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_130 ),
inference(avatar_component_clause,[],[f3435]) ).
thf(f3439,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| spl2_127 ),
inference(constrained_superposition,[],[f3426,f87]) ).
thf(f3440,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_127 ),
inference(constrained_superposition,[],[f3426,f23]) ).
thf(f3442,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_127 ),
inference(trivial_inequality_removal,[],[f3440]) ).
thf(f3443,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_127 ),
inference(trivial_inequality_removal,[],[f3439]) ).
thf(f3445,definition,
( spl2_131
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_131])],[avatar_definition]) ).
thf(f3446,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_131 ),
inference(avatar_component_clause,[],[f3445]) ).
thf(f3447,plain,
( spl2_131
| spl2_121
| spl2_127 ),
inference(avatar_split_clause,[],[f3442,f3425,f3169,f3445]) ).
thf(f3448,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_127 ),
inference(forward_subsumption_resolution,[],[f3443,f39]) ).
thf(f3449,plain,
( spl2_131
| spl2_127 ),
inference(avatar_split_clause,[],[f3448,f3425,f3445]) ).
thf(f3450,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_131 ),
inference(constrained_superposition,[],[f895,f3446]) ).
thf(f3451,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_31
| ~ spl2_131 ),
inference(constrained_superposition,[],[f652,f3446]) ).
thf(f3460,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f3450]) ).
thf(f3463,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_31
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f3451]) ).
thf(f3469,definition,
( spl2_132
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).
thf(f3470,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_132 ),
inference(avatar_component_clause,[],[f3469]) ).
thf(f3474,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_116
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3470,f2875]) ).
thf(f3479,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3470,f49]) ).
thf(f3481,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| spl2_39
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3470,f1243]) ).
thf(f3488,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_116
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f3474]) ).
thf(f3489,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f3479]) ).
thf(f3494,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_8
| spl2_39
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f3481]) ).
thf(f3495,plain,
( spl2_75
| ~ spl2_116
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f3488,f3469,f2874,f1287]) ).
thf(f3504,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f3381,f39]) ).
thf(f3505,plain,
( spl2_113
| spl2_63
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f3489,f3469,f1001,f2859]) ).
thf(f3509,definition,
( spl2_134
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_134])],[avatar_definition]) ).
thf(f3510,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_134 ),
inference(avatar_component_clause,[],[f3509]) ).
thf(f3513,definition,
( spl2_135
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_135])],[avatar_definition]) ).
thf(f3514,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_135 ),
inference(avatar_component_clause,[],[f3513]) ).
thf(f3521,definition,
( spl2_137
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_137])],[avatar_definition]) ).
thf(f3522,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_137 ),
inference(avatar_component_clause,[],[f3521]) ).
thf(f3523,plain,
( spl2_45
| spl2_50
| spl2_137 ),
inference(avatar_split_clause,[],[f1397,f3521,f541,f519]) ).
thf(f3531,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| spl2_39
| ~ spl2_132 ),
inference(forward_subsumption_resolution,[],[f3494,f39]) ).
thf(f3533,definition,
( spl2_139
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_139])],[avatar_definition]) ).
thf(f3534,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_139 ),
inference(avatar_component_clause,[],[f3533]) ).
thf(f3537,definition,
( spl2_140
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_140])],[avatar_definition]) ).
thf(f3538,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_140 ),
inference(avatar_component_clause,[],[f3537]) ).
thf(f3541,plain,
( spl2_134
| spl2_45
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f3504,f2849,f519,f3509]) ).
thf(f3547,plain,
( spl2_75
| spl2_117
| spl2_134
| ~ spl2_8
| spl2_39
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f3531,f3469,f492,f103,f3509,f2877,f1287]) ).
thf(f3720,definition,
( spl2_142
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_142])],[avatar_definition]) ).
thf(f3721,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_142 ),
inference(avatar_component_clause,[],[f3720]) ).
thf(f3723,definition,
( spl2_143
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_143])],[avatar_definition]) ).
thf(f3724,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_143 ),
inference(avatar_component_clause,[],[f3723]) ).
thf(f3761,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_98
| ~ spl2_113 ),
inference(constrained_superposition,[],[f2320,f2917]) ).
thf(f3763,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8
| ~ spl2_113 ),
inference(constrained_superposition,[],[f694,f2917]) ).
thf(f3765,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_113 ),
inference(constrained_superposition,[],[f1388,f2917]) ).
thf(f3767,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_8
| spl2_39
| ~ spl2_113 ),
inference(constrained_superposition,[],[f1237,f2917]) ).
thf(f3768,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_110
| ~ spl2_113 ),
inference(constrained_superposition,[],[f2850,f2917]) ).
thf(f3775,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f3763]) ).
thf(f3776,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f3768]) ).
thf(f3779,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_8
| spl2_39
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f3767]) ).
thf(f3782,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_98
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f3761]) ).
thf(f3786,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_18
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f3765]) ).
thf(f3788,definition,
( spl2_146
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_146])],[avatar_definition]) ).
thf(f3789,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_146 ),
inference(avatar_component_clause,[],[f3788]) ).
thf(f3790,plain,
( spl2_116
| spl2_146
| ~ spl2_8
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f3775,f2859,f103,f3788,f2874]) ).
thf(f3791,plain,
( ~ spl2_29
| ~ spl2_110
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f3776,f2859,f2849,f287]) ).
thf(f3792,plain,
( spl2_117
| spl2_116
| ~ spl2_8
| spl2_39
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f3779,f2859,f492,f103,f2874,f2877]) ).
thf(f3793,plain,
( spl2_116
| ~ spl2_98
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f3782,f2859,f2319,f2874]) ).
thf(f3796,definition,
( spl2_147
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_147])],[avatar_definition]) ).
thf(f3797,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_147 ),
inference(avatar_component_clause,[],[f3796]) ).
thf(f3799,plain,
( spl2_123
| spl2_121
| spl2_122
| ~ spl2_18
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f3786,f2859,f209,f3172,f3169,f3175]) ).
thf(f3800,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_35 ),
inference(avatar_component_clause,[],[f358]) ).
thf(f3802,definition,
( spl2_148
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_148])],[avatar_definition]) ).
thf(f3803,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_148 ),
inference(avatar_component_clause,[],[f3802]) ).
thf(f3804,plain,
( ~ spl2_35
| spl2_148
| ~ spl2_31
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f3463,f3445,f305,f3802,f358]) ).
thf(f3811,plain,
( spl2_132
| ~ spl2_35
| ~ spl2_22
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f3460,f3445,f234,f358,f3469]) ).
thf(f3813,definition,
( spl2_150
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_150])],[avatar_definition]) ).
thf(f3814,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_150 ),
inference(avatar_component_clause,[],[f3813]) ).
thf(f3816,definition,
( spl2_151
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_151])],[avatar_definition]) ).
thf(f3817,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_151 ),
inference(avatar_component_clause,[],[f3816]) ).
thf(f3820,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_29 ),
inference(constrained_superposition,[],[f288,f48]) ).
thf(f3821,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| spl2_29 ),
inference(constrained_superposition,[],[f288,f23]) ).
thf(f3822,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_29 ),
inference(trivial_inequality_removal,[],[f3820]) ).
thf(f3823,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_29 ),
inference(trivial_inequality_removal,[],[f3821]) ).
thf(f3824,plain,
( $false
| spl2_29
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f3822,f528]) ).
thf(f3825,plain,
( spl2_29
| spl2_45 ),
inference(avatar_contradiction_clause,[],[f3824]) ).
thf(f3826,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_29
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f3823,f528]) ).
thf(f3827,plain,
( $false
| spl2_29
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f3826,f39]) ).
thf(f3828,plain,
( spl2_29
| spl2_45 ),
inference(avatar_contradiction_clause,[],[f3827]) ).
thf(f3852,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_150 ),
inference(constrained_superposition,[],[f3814,f89]) ).
thf(f3854,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_150 ),
inference(trivial_inequality_removal,[],[f3852]) ).
thf(f3856,plain,
( spl2_35
| spl2_150 ),
inference(avatar_split_clause,[],[f3854,f3813,f358]) ).
thf(f3860,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_31
| ~ spl2_116 ),
inference(constrained_superposition,[],[f987,f2875]) ).
thf(f3868,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_116 ),
inference(constrained_superposition,[],[f29,f2875]) ).
thf(f3874,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f3868]) ).
thf(f3878,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_31
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f3860]) ).
thf(f3884,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_35 ),
inference(constrained_superposition,[],[f29,f359]) ).
thf(f3886,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f3884]) ).
thf(f3891,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_135 ),
inference(constrained_superposition,[],[f3514,f181]) ).
thf(f3894,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f3891]) ).
thf(f3897,plain,
( spl2_137
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f3894,f3513,f3521]) ).
thf(f3915,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_113
| ~ spl2_146 ),
inference(constrained_superposition,[],[f3789,f2917]) ).
thf(f3918,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_113
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f3915]) ).
thf(f3926,plain,
( ~ spl2_11
| ~ spl2_113
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f3918,f3788,f2859,f133]) ).
thf(f3928,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_113
| ~ spl2_137 ),
inference(constrained_superposition,[],[f3522,f2917]) ).
thf(f3931,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_113
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f3928]) ).
thf(f3934,plain,
( spl2_123
| ~ spl2_113
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f3931,f3521,f2859,f3175]) ).
thf(f3938,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_22
| ~ spl2_123 ),
inference(constrained_superposition,[],[f988,f3176]) ).
thf(f3943,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_7
| ~ spl2_123 ),
inference(constrained_superposition,[],[f928,f3176]) ).
thf(f3946,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_7
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f3943]) ).
thf(f3949,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_7
| ~ spl2_17
| ~ spl2_22
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f3938]) ).
thf(f4076,definition,
( spl2_152
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_152])],[avatar_definition]) ).
thf(f4077,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_152 ),
inference(avatar_component_clause,[],[f4076]) ).
thf(f4080,definition,
( spl2_153
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_153])],[avatar_definition]) ).
thf(f4081,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_153 ),
inference(avatar_component_clause,[],[f4080]) ).
thf(f4086,definition,
( spl2_154
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_154])],[avatar_definition]) ).
thf(f4087,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_154 ),
inference(avatar_component_clause,[],[f4086]) ).
thf(f4093,definition,
( spl2_156
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_156])],[avatar_definition]) ).
thf(f4094,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_156 ),
inference(avatar_component_clause,[],[f4093]) ).
thf(f4096,definition,
( spl2_157
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_157])],[avatar_definition]) ).
thf(f4097,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_157 ),
inference(avatar_component_clause,[],[f4096]) ).
thf(f4108,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_156 ),
inference(avatar_component_clause,[],[f4093]) ).
thf(f4109,plain,
( spl2_74
| spl2_156
| ~ spl2_7
| ~ spl2_17
| ~ spl2_31
| ~ spl2_116 ),
inference(avatar_split_clause,[],[f3878,f2874,f305,f206,f100,f4093,f1283]) ).
thf(f4112,definition,
( spl2_160
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_160])],[avatar_definition]) ).
thf(f4113,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_160 ),
inference(avatar_component_clause,[],[f4112]) ).
thf(f4119,definition,
( spl2_161
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_161])],[avatar_definition]) ).
thf(f4120,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_161 ),
inference(avatar_component_clause,[],[f4119]) ).
thf(f4121,plain,
( spl2_156
| spl2_161
| ~ spl2_7
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f3946,f3175,f100,f4119,f4093]) ).
thf(f4124,definition,
( spl2_162
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
thf(f4125,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_162 ),
inference(avatar_component_clause,[],[f4124]) ).
thf(f4140,plain,
( spl2_107
| spl2_156
| ~ spl2_7
| ~ spl2_17
| ~ spl2_22
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f3949,f3175,f234,f206,f100,f4093,f2760]) ).
thf(f4165,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_154 ),
inference(constrained_superposition,[],[f4087,f48]) ).
thf(f4168,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_154 ),
inference(trivial_inequality_removal,[],[f4165]) ).
thf(f4170,plain,
( spl2_156
| spl2_154 ),
inference(avatar_split_clause,[],[f4168,f4086,f4093]) ).
thf(f4173,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f213,f180]) ).
thf(f4181,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4173]) ).
thf(f4193,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_157 ),
inference(constrained_superposition,[],[f4097,f3176]) ).
thf(f4195,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_116
| ~ spl2_157 ),
inference(constrained_superposition,[],[f4097,f2875]) ).
thf(f4204,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f4193]) ).
thf(f4210,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_116
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f4195]) ).
thf(f4211,plain,
( spl2_153
| ~ spl2_123
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f4204,f4096,f3175,f4080]) ).
thf(f4214,plain,
( spl2_152
| ~ spl2_116
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f4210,f4096,f2874,f4076]) ).
thf(f4233,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19
| ~ spl2_113 ),
inference(constrained_superposition,[],[f4181,f2917]) ).
thf(f4235,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f4233]) ).
thf(f4237,plain,
( spl2_131
| ~ spl2_19
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f4235,f2859,f212,f3445]) ).
thf(f4244,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f107,f89]) ).
thf(f4247,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f4244]) ).
thf(f4250,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f131,f23]) ).
thf(f4253,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f4250]) ).
thf(f4307,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_116
| ~ spl2_160 ),
inference(constrained_superposition,[],[f4113,f2875]) ).
thf(f4315,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_116
| ~ spl2_160 ),
inference(duplicate_literal_removal,[],[f4307]) ).
thf(f4316,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_116
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f4315]) ).
thf(f4327,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_22
| ~ spl2_116
| ~ spl2_160 ),
inference(forward_subsumption_resolution,[],[f4316,f235]) ).
thf(f4328,plain,
( spl2_79
| ~ spl2_22
| ~ spl2_116
| ~ spl2_160 ),
inference(avatar_split_clause,[],[f4327,f4112,f2874,f234,f1474]) ).
thf(f4330,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_31
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f748,f2321]) ).
thf(f4342,plain,
( spl2_70
| spl2_18
| ~ spl2_31
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f4330,f2315,f305,f209,f1185]) ).
thf(f4353,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_22
| ~ spl2_50 ),
inference(constrained_superposition,[],[f895,f542]) ).
thf(f4357,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_22
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f4353]) ).
thf(f4388,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4120,f3176]) ).
thf(f4403,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_161 ),
inference(duplicate_literal_removal,[],[f4388]) ).
thf(f4404,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f4403]) ).
thf(f4408,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_31
| ~ spl2_123
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f4404,f306]) ).
thf(f4409,plain,
( spl2_82
| ~ spl2_31
| ~ spl2_123
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f4408,f4119,f3175,f305,f1586]) ).
thf(f4410,plain,
( ( $true != $true )
| ~ spl2_22
| ~ spl2_82 ),
inference(constrained_superposition,[],[f1587,f235]) ).
thf(f4412,plain,
( ( $true != $true )
| ~ spl2_50
| ~ spl2_82 ),
inference(constrained_superposition,[],[f1587,f542]) ).
thf(f4414,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_82 ),
inference(constrained_superposition,[],[f1587,f49]) ).
thf(f4418,plain,
( $false
| ~ spl2_22
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f4410]) ).
thf(f4419,plain,
( ~ spl2_22
| ~ spl2_82 ),
inference(avatar_contradiction_clause,[],[f4418]) ).
thf(f4421,plain,
( $false
| ~ spl2_50
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f4412]) ).
thf(f4422,plain,
( ~ spl2_50
| ~ spl2_82 ),
inference(avatar_contradiction_clause,[],[f4421]) ).
thf(f4426,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f4414]) ).
thf(f4430,plain,
( $false
| spl2_18
| ~ spl2_82 ),
inference(forward_subsumption_resolution,[],[f4426,f210]) ).
thf(f4431,plain,
( spl2_18
| ~ spl2_82 ),
inference(avatar_contradiction_clause,[],[f4430]) ).
thf(f4455,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_116
| ~ spl2_134 ),
inference(constrained_superposition,[],[f3874,f3510]) ).
thf(f4466,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_116
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f4455]) ).
thf(f4486,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_35
| ~ spl2_116 ),
inference(constrained_superposition,[],[f3886,f2875]) ).
thf(f4487,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_35
| ~ spl2_134 ),
inference(constrained_superposition,[],[f3886,f3510]) ).
thf(f4489,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_35 ),
inference(constrained_superposition,[],[f3886,f49]) ).
thf(f4494,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f4489]) ).
thf(f4496,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_35
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f4486]) ).
thf(f4499,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_35
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f4487]) ).
thf(f4501,plain,
( spl2_118
| ~ spl2_35
| ~ spl2_116 ),
inference(avatar_split_clause,[],[f4496,f2874,f358,f2919]) ).
thf(f4608,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_97
| ~ spl2_116
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f4466,f2321]) ).
thf(f4614,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_22
| ~ spl2_50
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f4357,f2321]) ).
thf(f4618,plain,
( spl2_140
| ~ spl2_97
| ~ spl2_116
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f4608,f3509,f2874,f2315,f3537]) ).
thf(f4622,plain,
( spl2_140
| ~ spl2_22
| ~ spl2_50
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f4614,f2315,f541,f234,f3537]) ).
thf(f4624,definition,
( spl2_172
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_172])],[avatar_definition]) ).
thf(f4625,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_172 ),
inference(avatar_component_clause,[],[f4624]) ).
thf(f4630,definition,
( spl2_173
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_173])],[avatar_definition]) ).
thf(f4631,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_173 ),
inference(avatar_component_clause,[],[f4630]) ).
thf(f4636,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35
| ~ spl2_139 ),
inference(constrained_superposition,[],[f3534,f359]) ).
thf(f4656,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f4636]) ).
thf(f4657,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_31
| ~ spl2_140 ),
inference(constrained_superposition,[],[f3538,f306]) ).
thf(f4665,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_97
| ~ spl2_140 ),
inference(constrained_superposition,[],[f3538,f2321]) ).
thf(f4674,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_31
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f4657]) ).
thf(f4677,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_97
| ~ spl2_140 ),
inference(duplicate_literal_removal,[],[f4665]) ).
thf(f4678,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_97
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f4677]) ).
thf(f4686,plain,
( spl2_173
| ~ spl2_31
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f4674,f3537,f305,f4630]) ).
thf(f4687,plain,
( spl2_96
| ~ spl2_97
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f4678,f3537,f2315,f2312]) ).
thf(f4790,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f4253,f48]) ).
thf(f4793,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f4790]) ).
thf(f4795,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_10
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f4793,f2313]) ).
thf(f4833,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| ~ spl2_10
| ~ spl2_96 ),
inference(constrained_superposition,[],[f29,f4795]) ).
thf(f4837,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) ) )
| ~ spl2_10
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f4833]) ).
thf(f4846,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ X2 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_10
| ~ spl2_31
| ~ spl2_96 ),
inference(constrained_superposition,[],[f4837,f306]) ).
thf(f4848,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ X2 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_10
| ~ spl2_35
| ~ spl2_96 ),
inference(constrained_superposition,[],[f4837,f359]) ).
thf(f4863,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ X2 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_10
| ~ spl2_31
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f4846]) ).
thf(f4864,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X2 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_10
| ~ spl2_35
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f4848]) ).
thf(f4873,definition,
( spl2_175
<=> ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ X2 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f4874,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ X2 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X2 ) ) )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f4873]) ).
thf(f4875,plain,
( spl2_175
| spl2_93
| ~ spl2_10
| ~ spl2_31
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f4863,f2312,f305,f130,f2277,f4873]) ).
thf(f4877,definition,
( spl2_176
<=> ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ X2 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f4878,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ X2 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X2 ) ) )
| ~ spl2_176 ),
inference(avatar_component_clause,[],[f4877]) ).
thf(f4879,plain,
( spl2_176
| spl2_132
| ~ spl2_10
| ~ spl2_35
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f4864,f2312,f358,f130,f3469,f4877]) ).
thf(f4883,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f4874,f50]) ).
thf(f4886,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f4883]) ).
thf(f4931,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_116
| ~ spl2_123 ),
inference(constrained_superposition,[],[f3874,f3176]) ).
thf(f4932,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_35
| ~ spl2_123 ),
inference(constrained_superposition,[],[f3886,f3176]) ).
thf(f4937,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_116
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f4931]) ).
thf(f4938,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_35
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f4932]) ).
thf(f4943,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_31
| ~ spl2_116
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f4937,f306]) ).
thf(f4944,plain,
( spl2_161
| ~ spl2_35
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f4938,f3175,f358,f4119]) ).
thf(f4946,plain,
( spl2_93
| ~ spl2_31
| ~ spl2_116
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f4943,f3175,f2874,f305,f2277]) ).
thf(f5199,definition,
( spl2_181
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).
thf(f5200,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_181 ),
inference(avatar_component_clause,[],[f5199]) ).
thf(f5217,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_30
| ~ spl2_175 ),
inference(constrained_superposition,[],[f291,f4886]) ).
thf(f5240,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_30
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f5217]) ).
thf(f5248,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_30
| ~ spl2_175 ),
inference(constrained_superposition,[],[f5240,f48]) ).
thf(f5251,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_30
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f5248]) ).
thf(f5253,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_30
| ~ spl2_96
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f5251,f2313]) ).
thf(f5437,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_30
| ~ spl2_35
| ~ spl2_96
| ~ spl2_175 ),
inference(constrained_superposition,[],[f359,f5253]) ).
thf(f5470,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_30
| spl2_33
| ~ spl2_35
| ~ spl2_96
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f5437,f909]) ).
thf(f5512,plain,
( spl2_23
| ~ spl2_30
| spl2_33
| ~ spl2_35
| ~ spl2_96
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f5470,f4873,f2312,f358,f349,f290,f237]) ).
thf(f5537,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_7
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f101,f2313]) ).
thf(f5538,plain,
( spl2_13
| ~ spl2_7
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f5537,f2312,f100,f140]) ).
thf(f5660,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f47,f3170]) ).
thf(f5703,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_71 ),
inference(avatar_component_clause,[],[f1190]) ).
thf(f5720,definition,
( spl2_190
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_190])],[avatar_definition]) ).
thf(f5721,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_190 ),
inference(avatar_component_clause,[],[f5720]) ).
thf(f5753,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_121 ),
inference(equality_resolution,[],[f5660]) ).
thf(f5754,plain,
( spl2_23
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f5753,f3169,f237]) ).
thf(f5755,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_35
| spl2_113 ),
inference(forward_subsumption_resolution,[],[f4494,f2860]) ).
thf(f5757,definition,
( spl2_192
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_192])],[avatar_definition]) ).
thf(f5758,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_192 ),
inference(avatar_component_clause,[],[f5757]) ).
thf(f5759,plain,
( spl2_50
| spl2_192 ),
inference(avatar_split_clause,[],[f1351,f5757,f541]) ).
thf(f5760,plain,
( spl2_172
| ~ spl2_35
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f4499,f3509,f358,f4624]) ).
thf(f5761,plain,
( spl2_172
| ~ spl2_35
| spl2_113 ),
inference(avatar_split_clause,[],[f5755,f2859,f358,f4624]) ).
thf(f5796,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_22
| ~ spl2_71 ),
inference(constrained_superposition,[],[f895,f5703]) ).
thf(f5804,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_22
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f5796]) ).
thf(f5808,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_22
| ~ spl2_31
| ~ spl2_71 ),
inference(forward_subsumption_resolution,[],[f5804,f306]) ).
thf(f5811,plain,
( spl2_93
| ~ spl2_22
| ~ spl2_31
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f5808,f1190,f305,f234,f2277]) ).
thf(f5838,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_22
| ~ spl2_173 ),
inference(constrained_superposition,[],[f4631,f235]) ).
thf(f5849,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_22
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f5838]) ).
thf(f5855,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_22
| ~ spl2_70 ),
inference(constrained_superposition,[],[f1186,f235]) ).
thf(f5857,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_70 ),
inference(constrained_superposition,[],[f1186,f49]) ).
thf(f5862,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_22
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f5855]) ).
thf(f5866,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_70 ),
inference(duplicate_literal_removal,[],[f5857]) ).
thf(f5867,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f5866]) ).
thf(f5882,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f4625,f49]) ).
thf(f5886,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_172 ),
inference(duplicate_literal_removal,[],[f5882]) ).
thf(f5887,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f5886]) ).
thf(f5903,plain,
( spl2_96
| spl2_18
| ~ spl2_70 ),
inference(avatar_split_clause,[],[f5867,f1185,f209,f2312]) ).
thf(f5911,plain,
( ~ spl2_156
| ~ spl2_35
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f4656,f3533,f358,f4093]) ).
thf(f5915,plain,
( spl2_139
| ~ spl2_22
| ~ spl2_70 ),
inference(avatar_split_clause,[],[f5862,f1185,f234,f3533]) ).
thf(f5920,plain,
( ~ spl2_39
| ~ spl2_22
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f5849,f4630,f234,f492]) ).
thf(f5922,definition,
( spl2_194
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_194])],[avatar_definition]) ).
thf(f5923,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_194 ),
inference(avatar_component_clause,[],[f5922]) ).
thf(f5924,plain,
( spl2_194
| spl2_39
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f1235,f103,f492,f5922]) ).
thf(f5944,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_8 ),
inference(constrained_superposition,[],[f104,f23]) ).
thf(f5945,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_8 ),
inference(trivial_inequality_removal,[],[f5944]) ).
thf(f6005,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_30 ),
inference(constrained_superposition,[],[f291,f181]) ).
thf(f6008,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f6005]) ).
thf(f6011,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_147 ),
inference(constrained_superposition,[],[f3797,f1974]) ).
thf(f6019,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f6011]) ).
thf(f6041,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_30 ),
inference(constrained_superposition,[],[f6008,f48]) ).
thf(f6043,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f6041]) ).
thf(f6045,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_30
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f6043,f2313]) ).
thf(f6049,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_30
| ~ spl2_35
| ~ spl2_96 ),
inference(constrained_superposition,[],[f3886,f6045]) ).
thf(f6055,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_30
| ~ spl2_35
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f6049]) ).
thf(f6058,plain,
( spl2_161
| ~ spl2_30
| ~ spl2_35
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f6055,f2312,f358,f290,f4119]) ).
thf(f6091,definition,
( spl2_200
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_200])],[avatar_definition]) ).
thf(f6092,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_200 ),
inference(avatar_component_clause,[],[f6091]) ).
thf(f6119,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ~ spl2_62
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f999,f2313]) ).
thf(f6120,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_17
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f207,f2313]) ).
thf(f6121,plain,
( spl2_95
| ~ spl2_62
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f6119,f2312,f998,f2309]) ).
thf(f6122,plain,
( spl2_27
| ~ spl2_17
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f6120,f2312,f206,f280]) ).
thf(f6124,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_95
| ~ spl2_147 ),
inference(constrained_superposition,[],[f6019,f2310]) ).
thf(f6144,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_95
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f6124]) ).
thf(f6151,plain,
( spl2_130
| ~ spl2_95
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f6144,f3796,f2309,f3435]) ).
thf(f6155,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_176 ),
inference(constrained_superposition,[],[f4878,f281]) ).
thf(f6156,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_58 ),
inference(constrained_superposition,[],[f902,f281]) ).
thf(f6163,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f6155]) ).
thf(f6164,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f6156]) ).
thf(f6171,plain,
( spl2_23
| ~ spl2_27
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f6163,f4877,f280,f237]) ).
thf(f6172,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_13
| ~ spl2_27
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f6164,f141]) ).
thf(f6188,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_13
| ~ spl2_27
| ~ spl2_58
| ~ spl2_130 ),
inference(constrained_superposition,[],[f6172,f3436]) ).
thf(f6193,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_13
| ~ spl2_27
| ~ spl2_58
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f6188]) ).
thf(f6198,plain,
( $false
| ~ spl2_13
| ~ spl2_27
| ~ spl2_58
| ~ spl2_130 ),
inference(forward_subsumption_resolution,[],[f6193,f141]) ).
thf(f6199,plain,
( ~ spl2_13
| ~ spl2_27
| ~ spl2_58
| ~ spl2_130 ),
inference(avatar_contradiction_clause,[],[f6198]) ).
thf(f6205,plain,
( $false
| ~ spl2_78
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f1453,f2313]) ).
thf(f6206,plain,
( ~ spl2_78
| ~ spl2_96 ),
inference(avatar_contradiction_clause,[],[f6205]) ).
thf(f6388,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f131,f90]) ).
thf(f6389,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f6388]) ).
thf(f6392,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_63 ),
inference(constrained_superposition,[],[f1002,f306]) ).
thf(f6407,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_31
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f6392]) ).
thf(f6414,plain,
( $false
| ~ spl2_31
| ~ spl2_50
| ~ spl2_63 ),
inference(forward_subsumption_resolution,[],[f6407,f542]) ).
thf(f6415,plain,
( ~ spl2_31
| ~ spl2_50
| ~ spl2_63 ),
inference(avatar_contradiction_clause,[],[f6414]) ).
thf(f6421,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f6389,f48]) ).
thf(f6424,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f6421]) ).
thf(f6426,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_10
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f6424,f2313]) ).
thf(f6467,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_10
| ~ spl2_96
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3470,f6426]) ).
thf(f6475,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_10
| ~ spl2_96
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f6467]) ).
thf(f6477,plain,
( spl2_75
| ~ spl2_10
| ~ spl2_96
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f6475,f3469,f2312,f130,f1287]) ).
thf(f6480,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_35
| ~ spl2_75 ),
inference(constrained_superposition,[],[f1288,f359]) ).
thf(f6491,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_35
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f6480]) ).
thf(f6498,plain,
( $false
| ~ spl2_10
| ~ spl2_35
| ~ spl2_75
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f6491,f6426]) ).
thf(f6499,plain,
( ~ spl2_10
| ~ spl2_35
| ~ spl2_75
| ~ spl2_96 ),
inference(avatar_contradiction_clause,[],[f6498]) ).
thf(f6500,plain,
( $false
| ~ spl2_45
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f520,f2313]) ).
thf(f6501,plain,
( ~ spl2_45
| ~ spl2_96 ),
inference(avatar_contradiction_clause,[],[f6500]) ).
thf(f6514,plain,
( $false
| ~ spl2_96
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f4108,f2313]) ).
thf(f6515,plain,
( ~ spl2_96
| ~ spl2_156 ),
inference(avatar_contradiction_clause,[],[f6514]) ).
thf(f6516,plain,
( $false
| ~ spl2_39
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f501,f2313]) ).
thf(f6517,plain,
( ~ spl2_39
| ~ spl2_96 ),
inference(avatar_contradiction_clause,[],[f6516]) ).
thf(f6526,definition,
( spl2_203
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_203])],[avatar_definition]) ).
thf(f6527,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_203 ),
inference(avatar_component_clause,[],[f6526]) ).
thf(f6533,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_38
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f2101,f2313]) ).
thf(f6536,definition,
( spl2_205
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_205])],[avatar_definition]) ).
thf(f6537,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_205 ),
inference(avatar_component_clause,[],[f6536]) ).
thf(f6538,plain,
( spl2_205
| spl2_22
| ~ spl2_38
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f6533,f2312,f487,f234,f6536]) ).
thf(f6604,plain,
( $false
| ~ spl2_82
| ~ spl2_131 ),
inference(forward_subsumption_resolution,[],[f3446,f1587]) ).
thf(f6605,plain,
( ~ spl2_82
| ~ spl2_131 ),
inference(avatar_contradiction_clause,[],[f6604]) ).
thf(f6641,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_95 ),
inference(constrained_superposition,[],[f4247,f2310]) ).
thf(f6652,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_9
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f6641]) ).
thf(f6710,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_205 ),
inference(constrained_superposition,[],[f6537,f48]) ).
thf(f6713,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f6710]) ).
thf(f6715,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_96
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f6713,f2313]) ).
thf(f6718,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_35
| ~ spl2_96
| ~ spl2_205 ),
inference(constrained_superposition,[],[f3886,f6715]) ).
thf(f6722,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_35
| ~ spl2_96
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f6718]) ).
thf(f6727,plain,
( spl2_161
| ~ spl2_35
| ~ spl2_96
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f6722,f6536,f2312,f358,f4119]) ).
thf(f6766,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_22 ),
inference(avatar_component_clause,[],[f234]) ).
thf(f6768,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_22 ),
inference(constrained_superposition,[],[f6766,f50]) ).
thf(f6771,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_22 ),
inference(trivial_inequality_removal,[],[f6768]) ).
thf(f6776,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f6771,f39]) ).
thf(f6781,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_22 ),
inference(constrained_superposition,[],[f28,f6776]) ).
thf(f6794,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_22 ),
inference(trivial_inequality_removal,[],[f6781]) ).
thf(f6822,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_22 ),
inference(constrained_superposition,[],[f6794,f89]) ).
thf(f6826,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22 ),
inference(duplicate_literal_removal,[],[f6822]) ).
thf(f6827,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22 ),
inference(trivial_inequality_removal,[],[f6826]) ).
thf(f6837,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f584,f181]) ).
thf(f6842,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f6837]) ).
thf(f6844,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_96
| ~ spl2_161
| ~ spl2_205 ),
inference(constrained_superposition,[],[f4120,f6715]) ).
thf(f6852,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_96
| ~ spl2_161
| ~ spl2_205 ),
inference(duplicate_literal_removal,[],[f6844]) ).
thf(f6853,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_161
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f6852]) ).
thf(f6860,definition,
( spl2_210
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_210])],[avatar_definition]) ).
thf(f6861,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_210 ),
inference(avatar_component_clause,[],[f6860]) ).
thf(f6862,plain,
( spl2_210
| spl2_31
| spl2_22 ),
inference(avatar_split_clause,[],[f6827,f234,f305,f6860]) ).
thf(f6863,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_31 ),
inference(avatar_component_clause,[],[f305]) ).
thf(f6864,plain,
( spl2_82
| ~ spl2_31
| ~ spl2_96
| ~ spl2_161
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f6853,f6536,f4119,f2312,f305,f1586]) ).
thf(f6867,plain,
( spl2_68
| ~ spl2_9
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f6652,f2309,f106,f1086]) ).
thf(f6871,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_18
| ~ spl2_41 ),
inference(constrained_superposition,[],[f500,f511]) ).
thf(f6880,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f6871]) ).
thf(f6912,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_113 ),
inference(constrained_superposition,[],[f2860,f23]) ).
thf(f6913,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_113 ),
inference(trivial_inequality_removal,[],[f6912]) ).
thf(f6914,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_113 ),
inference(forward_subsumption_resolution,[],[f6913,f39]) ).
thf(f6915,plain,
( spl2_134
| spl2_113 ),
inference(avatar_split_clause,[],[f6914,f2859,f3509]) ).
thf(f6932,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10
| spl2_22 ),
inference(constrained_superposition,[],[f131,f6776]) ).
thf(f6934,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10
| spl2_22 ),
inference(trivial_inequality_removal,[],[f6932]) ).
thf(f6937,plain,
( ~ spl2_29
| ~ spl2_10
| spl2_22 ),
inference(avatar_split_clause,[],[f6934,f234,f130,f287]) ).
thf(f6938,plain,
( spl2_22
| spl2_19
| ~ spl2_18
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f6880,f499,f209,f212,f234]) ).
thf(f6941,plain,
( spl2_203
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f6842,f583,f6526]) ).
thf(f6989,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_82 ),
inference(constrained_superposition,[],[f1587,f50]) ).
thf(f6991,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f6989]) ).
thf(f6996,plain,
( $false
| ~ spl2_13
| spl2_31 ),
inference(forward_subsumption_resolution,[],[f6863,f141]) ).
thf(f6997,plain,
( ~ spl2_13
| spl2_31 ),
inference(avatar_contradiction_clause,[],[f6996]) ).
thf(f6998,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_35
| ~ spl2_63 ),
inference(constrained_superposition,[],[f1002,f359]) ).
thf(f7015,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_35
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f6998]) ).
thf(f7018,plain,
( $false
| ~ spl2_35
| ~ spl2_63
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f7015,f3510]) ).
thf(f7019,plain,
( ~ spl2_35
| ~ spl2_63
| ~ spl2_134 ),
inference(avatar_contradiction_clause,[],[f7018]) ).
thf(f7089,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_205 ),
inference(constrained_superposition,[],[f6537,f48]) ).
thf(f7091,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f7089]) ).
thf(f7093,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_96
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f7091,f2313]) ).
thf(f7182,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_82 ),
inference(constrained_superposition,[],[f2832,f6991]) ).
thf(f7196,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_82 ),
inference(trivial_inequality_removal,[],[f7182]) ).
thf(f7212,definition,
( spl2_211
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_211])],[avatar_definition]) ).
thf(f7213,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_211 ),
inference(avatar_component_clause,[],[f7212]) ).
thf(f7214,plain,
( spl2_211
| spl2_126
| ~ spl2_127
| ~ spl2_82 ),
inference(avatar_split_clause,[],[f7196,f1586,f3425,f3422,f7212]) ).
thf(f7233,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_126 ),
inference(constrained_superposition,[],[f3423,f48]) ).
thf(f7244,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f7233]) ).
thf(f7246,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_96
| ~ spl2_126 ),
inference(forward_subsumption_resolution,[],[f7244,f2313]) ).
thf(f7247,plain,
( $false
| ~ spl2_18
| ~ spl2_96
| ~ spl2_126 ),
inference(forward_subsumption_resolution,[],[f7246,f511]) ).
thf(f7248,plain,
( ~ spl2_18
| ~ spl2_96
| ~ spl2_126 ),
inference(avatar_contradiction_clause,[],[f7247]) ).
thf(f7299,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_96
| ~ spl2_118
| ~ spl2_205 ),
inference(constrained_superposition,[],[f2920,f7093]) ).
thf(f7308,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_96
| ~ spl2_118
| ~ spl2_205 ),
inference(trivial_inequality_removal,[],[f7299]) ).
thf(f7745,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_118
| ~ spl2_211 ),
inference(constrained_superposition,[],[f2920,f7213]) ).
thf(f7759,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_118
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f7745]) ).
thf(f7768,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl2_13
| ~ spl2_118
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f7759,f141]) ).
thf(f7772,definition,
( spl2_216
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).
thf(f7773,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_216 ),
inference(avatar_component_clause,[],[f7772]) ).
thf(f7775,plain,
( spl2_216
| ~ spl2_13
| ~ spl2_118
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f7768,f7212,f2919,f140,f7772]) ).
thf(f7931,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f8000,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_96
| ~ spl2_205
| ~ spl2_216 ),
inference(constrained_superposition,[],[f7773,f7093]) ).
thf(f8019,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_205
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f8000]) ).
thf(f8032,plain,
( ! [X0: $i] :
( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_13
| ~ spl2_96
| ~ spl2_205
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f8019,f141]) ).
thf(f8071,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| ~ spl2_35
| ~ spl2_96
| ~ spl2_205
| ~ spl2_216 ),
inference(constrained_superposition,[],[f359,f8032]) ).
thf(f8209,plain,
( $false
| ~ spl2_13
| spl2_33
| ~ spl2_35
| ~ spl2_96
| ~ spl2_205
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f8071,f909]) ).
thf(f8210,plain,
( ~ spl2_13
| spl2_33
| ~ spl2_35
| ~ spl2_96
| ~ spl2_205
| ~ spl2_216 ),
inference(avatar_contradiction_clause,[],[f8209]) ).
thf(f8251,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_8 ),
inference(forward_subsumption_resolution,[],[f5945,f39]) ).
thf(f8254,plain,
( $false
| ~ spl2_13
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f3800,f141]) ).
thf(f8255,plain,
( ~ spl2_13
| spl2_35 ),
inference(avatar_contradiction_clause,[],[f8254]) ).
thf(f8265,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_13
| ~ spl2_96
| ~ spl2_118
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f7308,f141]) ).
thf(f8272,plain,
( spl2_97
| spl2_8 ),
inference(avatar_split_clause,[],[f8251,f103,f2315]) ).
thf(f8283,plain,
( spl2_81
| ~ spl2_13
| ~ spl2_96
| ~ spl2_118
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f8265,f6536,f2919,f2312,f140,f1547]) ).
thf(f9042,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f73,f235]) ).
thf(f9043,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f29,f235]) ).
thf(f9044,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f9042]) ).
thf(f9045,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f9043]) ).
thf(f9046,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_25 ),
inference(constrained_superposition,[],[f274,f89]) ).
thf(f9048,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_25 ),
inference(trivial_inequality_removal,[],[f9046]) ).
thf(f9050,plain,
( spl2_31
| spl2_25 ),
inference(avatar_split_clause,[],[f9048,f273,f305]) ).
thf(f9056,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_35
| ~ spl2_60 ),
inference(constrained_superposition,[],[f3800,f944]) ).
thf(f9058,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_35 ),
inference(constrained_superposition,[],[f3800,f50]) ).
thf(f9061,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_35
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f9056]) ).
thf(f9062,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_35 ),
inference(trivial_inequality_removal,[],[f9058]) ).
thf(f9065,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_35
| ~ spl2_60
| spl2_113 ),
inference(forward_subsumption_resolution,[],[f9061,f2860]) ).
thf(f9066,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f9062,f39]) ).
thf(f9072,plain,
( spl2_121
| spl2_117
| spl2_35
| ~ spl2_60
| spl2_113 ),
inference(avatar_split_clause,[],[f9065,f2859,f943,f358,f2877,f3169]) ).
thf(f9080,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_35 ),
inference(constrained_superposition,[],[f195,f9066]) ).
thf(f9081,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_35 ),
inference(constrained_superposition,[],[f431,f9066]) ).
thf(f9083,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_35
| ~ spl2_38 ),
inference(constrained_superposition,[],[f488,f9066]) ).
thf(f9084,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_35 ),
inference(constrained_superposition,[],[f170,f9066]) ).
thf(f9085,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_35 ),
inference(constrained_superposition,[],[f98,f9066]) ).
thf(f9086,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_35 ),
inference(constrained_superposition,[],[f1349,f9066]) ).
thf(f9088,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_35 ),
inference(constrained_superposition,[],[f56,f9066]) ).
thf(f9094,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_35 ),
inference(trivial_inequality_removal,[],[f9088]) ).
thf(f9096,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_35 ),
inference(trivial_inequality_removal,[],[f9086]) ).
thf(f9099,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| spl2_35 ),
inference(trivial_inequality_removal,[],[f9085]) ).
thf(f9101,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_35 ),
inference(trivial_inequality_removal,[],[f9084]) ).
thf(f9102,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_35 ),
inference(trivial_inequality_removal,[],[f9081]) ).
thf(f9104,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_35 ),
inference(trivial_inequality_removal,[],[f9080]) ).
thf(f9105,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_35
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f9083]) ).
thf(f9116,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_35
| ~ spl2_38
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f9105,f2313]) ).
thf(f9118,plain,
( ~ spl2_11
| spl2_116
| spl2_35
| ~ spl2_38
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f9116,f2312,f487,f358,f2874,f133]) ).
thf(f9120,plain,
( ~ spl2_25
| spl2_24
| spl2_131
| spl2_35 ),
inference(avatar_split_clause,[],[f9104,f358,f3445,f270,f273]) ).
thf(f9122,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f1475,f49]) ).
thf(f9123,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f1475,f50]) ).
thf(f9125,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f9122]) ).
thf(f9126,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f9123]) ).
thf(f9177,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f131,f90]) ).
thf(f9179,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f9177]) ).
thf(f9182,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true != $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) )
| ~ spl2_27 ),
inference(constrained_superposition,[],[f29,f281]) ).
thf(f9183,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) ) )
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f9182]) ).
thf(f9337,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f271,f48]) ).
thf(f9341,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f9337]) ).
thf(f9346,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_24
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f9341,f2313]) ).
thf(f9347,plain,
( $false
| ~ spl2_8
| ~ spl2_24
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f9346,f644]) ).
thf(f9348,plain,
( ~ spl2_8
| ~ spl2_24
| ~ spl2_96 ),
inference(avatar_contradiction_clause,[],[f9347]) ).
thf(f9349,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f9179,f48]) ).
thf(f9352,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f9349]) ).
thf(f9354,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_10
| ~ spl2_96 ),
inference(forward_subsumption_resolution,[],[f9352,f2313]) ).
thf(f9376,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_35
| ~ spl2_200 ),
inference(constrained_superposition,[],[f6092,f9066]) ).
thf(f9386,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_35
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f9376]) ).
thf(f9389,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_8
| spl2_35
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f9386,f644]) ).
thf(f9391,plain,
( ~ spl2_25
| ~ spl2_8
| spl2_35
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f9389,f6091,f358,f103,f273]) ).
thf(f9430,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_27
| ~ spl2_134 ),
inference(constrained_superposition,[],[f9183,f3510]) ).
thf(f9432,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_27
| ~ spl2_116 ),
inference(constrained_superposition,[],[f9183,f2875]) ).
thf(f9436,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_27 ),
inference(constrained_superposition,[],[f9183,f49]) ).
thf(f9441,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_27
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f9430]) ).
thf(f9444,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f9436]) ).
thf(f9445,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_27
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f9432]) ).
thf(f9486,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f56,f9126]) ).
thf(f9493,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f2832,f9126]) ).
thf(f9508,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f9486]) ).
thf(f9510,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f9493]) ).
thf(f9520,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
| spl2_35
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f9510,f9066]) ).
thf(f9524,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
| spl2_35
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f9520,f39]) ).
thf(f9527,plain,
( spl2_130
| spl2_151
| spl2_35
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f9524,f1474,f358,f3816,f3435]) ).
thf(f9581,definition,
( spl2_225
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f9582,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f9581]) ).
thf(f9583,plain,
( spl2_225
| spl2_123
| spl2_35 ),
inference(avatar_split_clause,[],[f9102,f358,f3175,f9581]) ).
thf(f9597,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_225 ),
inference(constrained_superposition,[],[f9582,f48]) ).
thf(f9606,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f9597]) ).
thf(f9612,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_96
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f9606,f2313]) ).
thf(f9613,plain,
( ~ spl2_29
| ~ spl2_11
| ~ spl2_96
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f9612,f9581,f2312,f133,f287]) ).
thf(f9628,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_130
| ~ spl2_162 ),
inference(constrained_superposition,[],[f4125,f3436]) ).
thf(f9641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_130
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f9628]) ).
thf(f9650,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_27
| ~ spl2_130
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f9641,f281]) ).
thf(f9653,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_27
| ~ spl2_96
| ~ spl2_130
| ~ spl2_162 ),
inference(constrained_superposition,[],[f9650,f9354]) ).
thf(f9665,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_27
| ~ spl2_96
| ~ spl2_130
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f9653]) ).
thf(f9671,plain,
( $false
| ~ spl2_10
| ~ spl2_22
| ~ spl2_27
| ~ spl2_96
| ~ spl2_130
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f9665,f235]) ).
thf(f9672,plain,
( ~ spl2_10
| ~ spl2_22
| ~ spl2_27
| ~ spl2_96
| ~ spl2_130
| ~ spl2_162 ),
inference(avatar_contradiction_clause,[],[f9671]) ).
thf(f9681,plain,
( $false
| ~ spl2_79
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f2321,f1475]) ).
thf(f9682,plain,
( ~ spl2_79
| ~ spl2_97 ),
inference(avatar_contradiction_clause,[],[f9681]) ).
thf(f9685,plain,
( spl2_8
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f9125,f1474,f103]) ).
thf(f9697,definition,
( spl2_227
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f9698,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_227 ),
inference(avatar_component_clause,[],[f9697]) ).
thf(f9706,definition,
( spl2_229
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_229])],[avatar_definition]) ).
thf(f9707,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_229 ),
inference(avatar_component_clause,[],[f9706]) ).
thf(f9708,plain,
( ~ spl2_8
| spl2_229
| spl2_9
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f9508,f1474,f106,f9706,f103]) ).
thf(f9709,plain,
( ~ spl2_8
| spl2_156
| spl2_9
| spl2_35 ),
inference(avatar_split_clause,[],[f9094,f358,f106,f4093,f103]) ).
thf(f9715,definition,
( spl2_231
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_231])],[avatar_definition]) ).
thf(f9716,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_231 ),
inference(avatar_component_clause,[],[f9715]) ).
thf(f9792,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_116
| ~ spl2_152 ),
inference(constrained_superposition,[],[f4077,f2875]) ).
thf(f9797,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_116
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f9792]) ).
thf(f9845,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_157 ),
inference(constrained_superposition,[],[f4097,f49]) ).
thf(f9854,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f9845]) ).
thf(f9856,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_113
| ~ spl2_157 ),
inference(forward_subsumption_resolution,[],[f9854,f2860]) ).
thf(f9859,definition,
( spl2_233
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_233])],[avatar_definition]) ).
thf(f9860,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_233 ),
inference(avatar_component_clause,[],[f9859]) ).
thf(f9863,plain,
( spl2_233
| spl2_113
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f9856,f4096,f2859,f9859]) ).
thf(f9901,plain,
( ~ spl2_156
| ~ spl2_116
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f9797,f4076,f2874,f4093]) ).
thf(f9903,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_156
| ~ spl2_233 ),
inference(constrained_superposition,[],[f9860,f4108]) ).
thf(f9905,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_156
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f9903]) ).
thf(f9907,plain,
( $false
| ~ spl2_134
| ~ spl2_156
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f9905,f3510]) ).
thf(f9908,plain,
( ~ spl2_134
| ~ spl2_156
| ~ spl2_233 ),
inference(avatar_contradiction_clause,[],[f9907]) ).
thf(f9909,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_123
| ~ spl2_153 ),
inference(constrained_superposition,[],[f4081,f3176]) ).
thf(f9912,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_172 ),
inference(constrained_superposition,[],[f4625,f3176]) ).
thf(f9919,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f9909]) ).
thf(f9921,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f9912]) ).
thf(f9923,plain,
( $false
| ~ spl2_123
| ~ spl2_153
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f9919,f4108]) ).
thf(f9924,plain,
( ~ spl2_123
| ~ spl2_153
| ~ spl2_156 ),
inference(avatar_contradiction_clause,[],[f9923]) ).
thf(f9972,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_113
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f5887,f2860]) ).
thf(f9977,plain,
( spl2_173
| ~ spl2_31
| ~ spl2_123
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f9921,f4624,f3175,f305,f4630]) ).
thf(f9979,plain,
( spl2_160
| ~ spl2_27
| ~ spl2_116 ),
inference(avatar_split_clause,[],[f9445,f2874,f280,f4112]) ).
thf(f9980,plain,
( spl2_96
| ~ spl2_97
| spl2_113
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f9972,f4624,f2859,f2315,f2312]) ).
thf(f9992,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_31 ),
inference(constrained_superposition,[],[f6863,f50]) ).
thf(f9995,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_31 ),
inference(trivial_inequality_removal,[],[f9992]) ).
thf(f10000,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_31 ),
inference(forward_subsumption_resolution,[],[f9995,f39]) ).
thf(f10010,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_31 ),
inference(constrained_superposition,[],[f28,f10000]) ).
thf(f10025,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_31 ),
inference(trivial_inequality_removal,[],[f10010]) ).
thf(f10126,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_42 ),
inference(constrained_superposition,[],[f505,f49]) ).
thf(f10129,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f10126]) ).
thf(f10164,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_31 ),
inference(constrained_superposition,[],[f10025,f89]) ).
thf(f10170,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_31 ),
inference(trivial_inequality_removal,[],[f10164]) ).
thf(f10177,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_27
| ~ spl2_134 ),
inference(constrained_superposition,[],[f9441,f49]) ).
thf(f10184,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_27
| ~ spl2_134 ),
inference(duplicate_literal_removal,[],[f10177]) ).
thf(f10185,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_27
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f10184]) ).
thf(f10192,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_27
| ~ spl2_50
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f10185,f542]) ).
thf(f10195,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_27
| ~ spl2_50
| spl2_113
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f10192,f2860]) ).
thf(f10197,plain,
( spl2_96
| ~ spl2_27
| ~ spl2_50
| spl2_113
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f10195,f3509,f2859,f541,f280,f2312]) ).
thf(f10219,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f28,f511]) ).
thf(f10232,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f10219]) ).
thf(f10284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f10232,f181]) ).
thf(f10291,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f10284]) ).
thf(f10292,plain,
( spl2_192
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f10291,f209,f5757]) ).
thf(f10340,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_27 ),
inference(constrained_superposition,[],[f9045,f281]) ).
thf(f10342,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f9045,f49]) ).
thf(f10346,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f10342]) ).
thf(f10349,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10340]) ).
thf(f10359,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f3803,f49]) ).
thf(f10366,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f10359]) ).
thf(f10368,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_113
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f10366,f2860]) ).
thf(f10369,plain,
( spl2_64
| spl2_113
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f10368,f3802,f2859,f1013]) ).
thf(f10375,plain,
( spl2_8
| spl2_233
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f10129,f504,f9859,f103]) ).
thf(f10439,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_27 ),
inference(constrained_superposition,[],[f10349,f50]) ).
thf(f10441,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10439]) ).
thf(f10443,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_27 ),
inference(forward_subsumption_resolution,[],[f10441,f39]) ).
thf(f10480,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_27 ),
inference(constrained_superposition,[],[f9444,f49]) ).
thf(f10487,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_27 ),
inference(duplicate_literal_removal,[],[f10480]) ).
thf(f10488,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f10487]) ).
thf(f10507,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_194 ),
inference(constrained_superposition,[],[f5923,f23]) ).
thf(f10509,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f10507]) ).
thf(f10511,plain,
( spl2_227
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f10509,f5922,f9697]) ).
thf(f10685,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_7
| spl2_31 ),
inference(constrained_superposition,[],[f6863,f101]) ).
thf(f10695,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_7
| spl2_31 ),
inference(trivial_inequality_removal,[],[f10685]) ).
thf(f10699,plain,
( $false
| ~ spl2_7
| spl2_31
| spl2_45 ),
inference(forward_subsumption_resolution,[],[f10695,f528]) ).
thf(f10700,plain,
( ~ spl2_7
| spl2_31
| spl2_45 ),
inference(avatar_contradiction_clause,[],[f10699]) ).
thf(f10702,plain,
( ~ spl2_11
| spl2_156
| spl2_116
| spl2_35
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f9105,f487,f358,f2874,f4093,f133]) ).
thf(f10706,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f29,f4108]) ).
thf(f10707,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f10706]) ).
thf(f10731,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_123
| ~ spl2_156 ),
inference(constrained_superposition,[],[f10707,f3176]) ).
thf(f10742,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_123
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f10731]) ).
thf(f10763,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_156 ),
inference(constrained_superposition,[],[f10742,f3176]) ).
thf(f10769,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_156 ),
inference(duplicate_literal_removal,[],[f10763]) ).
thf(f10770,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f10769]) ).
thf(f10832,plain,
( spl2_231
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f9352,f130,f9715]) ).
thf(f10845,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_27
| ~ spl2_231 ),
inference(constrained_superposition,[],[f9183,f9716]) ).
thf(f10847,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f29,f9716]) ).
thf(f10858,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f10845]) ).
thf(f10862,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f10847]) ).
thf(f10871,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_27
| ~ spl2_231 ),
inference(constrained_superposition,[],[f10858,f9716]) ).
thf(f10885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_27
| ~ spl2_231 ),
inference(duplicate_literal_removal,[],[f10871]) ).
thf(f10886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f10885]) ).
thf(f10889,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_27
| ~ spl2_231 ),
inference(forward_subsumption_resolution,[],[f10886,f235]) ).
thf(f10891,plain,
( spl2_78
| spl2_79
| ~ spl2_22
| ~ spl2_27
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f10889,f9715,f280,f234,f1474,f1452]) ).
thf(f11006,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f10862,f49]) ).
thf(f11018,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f11006]) ).
thf(f11024,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_97
| ~ spl2_231 ),
inference(forward_subsumption_resolution,[],[f11018,f2321]) ).
thf(f11029,plain,
( spl2_54
| spl2_140
| ~ spl2_97
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f11024,f9715,f2315,f3537,f814]) ).
thf(f12088,definition,
( spl2_249
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_249])],[avatar_definition]) ).
thf(f12089,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_249 ),
inference(avatar_component_clause,[],[f12088]) ).
thf(f12095,definition,
( spl2_251
<=> ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_251])],[avatar_definition]) ).
thf(f12096,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_251 ),
inference(avatar_component_clause,[],[f12095]) ).
thf(f13706,definition,
( spl2_265
<=> ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_265])],[avatar_definition]) ).
thf(f13707,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_265 ),
inference(avatar_component_clause,[],[f13706]) ).
thf(f13750,definition,
( spl2_268
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_268])],[avatar_definition]) ).
thf(f13751,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_268 ),
inference(avatar_component_clause,[],[f13750]) ).
thf(f16235,definition,
( spl2_292
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).
thf(f16236,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_292 ),
inference(avatar_component_clause,[],[f16235]) ).
thf(f16277,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_113 ),
inference(constrained_superposition,[],[f28,f2917]) ).
thf(f16287,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f16277]) ).
thf(f16322,plain,
( spl2_82
| ~ spl2_45
| ~ spl2_123
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f10770,f4093,f3175,f519,f1586]) ).
thf(f16434,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_233 ),
inference(constrained_superposition,[],[f9860,f501]) ).
thf(f16436,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_39
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f16434]) ).
thf(f16438,plain,
( $false
| ~ spl2_39
| ~ spl2_97
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f16436,f2321]) ).
thf(f16439,plain,
( ~ spl2_39
| ~ spl2_97
| ~ spl2_233 ),
inference(avatar_contradiction_clause,[],[f16438]) ).
thf(f16488,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_135 ),
inference(constrained_superposition,[],[f3514,f23]) ).
thf(f16495,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f16488]) ).
thf(f16669,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f3789,f90]) ).
thf(f16678,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f16669]) ).
thf(f16750,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| spl2_35
| ~ spl2_113 ),
inference(constrained_superposition,[],[f16287,f9066]) ).
thf(f16755,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_35
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f16750]) ).
thf(f16823,definition,
( spl2_308
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).
thf(f16824,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f16823]) ).
thf(f17195,definition,
( spl2_314
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_314])],[avatar_definition]) ).
thf(f17196,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_314 ),
inference(avatar_component_clause,[],[f17195]) ).
thf(f17407,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_63 ),
inference(constrained_superposition,[],[f1002,f50]) ).
thf(f17415,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f17407]) ).
thf(f17970,definition,
( spl2_316
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_316])],[avatar_definition]) ).
thf(f17971,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true ) )
| ~ spl2_316 ),
inference(avatar_component_clause,[],[f17970]) ).
thf(f17987,definition,
( spl2_318
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_318])],[avatar_definition]) ).
thf(f17988,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true ) )
| ~ spl2_318 ),
inference(avatar_component_clause,[],[f17987]) ).
thf(f17999,definition,
( spl2_319
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_319])],[avatar_definition]) ).
thf(f18000,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) ) )
| ~ spl2_319 ),
inference(avatar_component_clause,[],[f17999]) ).
thf(f18018,definition,
( spl2_320
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_320])],[avatar_definition]) ).
thf(f18019,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) ) )
| ~ spl2_320 ),
inference(avatar_component_clause,[],[f18018]) ).
thf(f18024,definition,
( spl2_321
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( r @ X2 @ X0 )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_321])],[avatar_definition]) ).
thf(f18025,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X2 @ X0 )
!= $true ) )
| ~ spl2_321 ),
inference(avatar_component_clause,[],[f18024]) ).
thf(f18034,definition,
( spl2_323
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_323])],[avatar_definition]) ).
thf(f18035,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_323 ),
inference(avatar_component_clause,[],[f18034]) ).
thf(f18219,definition,
( spl2_325
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_325])],[avatar_definition]) ).
thf(f18220,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_325 ),
inference(avatar_component_clause,[],[f18219]) ).
thf(f18223,definition,
( spl2_326
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_326])],[avatar_definition]) ).
thf(f18224,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_326 ),
inference(avatar_component_clause,[],[f18223]) ).
thf(f18232,definition,
( spl2_327
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_327])],[avatar_definition]) ).
thf(f18233,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) ) )
| ~ spl2_327 ),
inference(avatar_component_clause,[],[f18232]) ).
thf(f18240,definition,
( spl2_329
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_329])],[avatar_definition]) ).
thf(f18241,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_329 ),
inference(avatar_component_clause,[],[f18240]) ).
thf(f18244,definition,
( spl2_330
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_330])],[avatar_definition]) ).
thf(f18245,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl2_330 ),
inference(avatar_component_clause,[],[f18244]) ).
thf(f18248,definition,
( spl2_331
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_331])],[avatar_definition]) ).
thf(f18249,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X3 )
!= $true ) )
| ~ spl2_331 ),
inference(avatar_component_clause,[],[f18248]) ).
thf(f18539,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_117 ),
inference(avatar_component_clause,[],[f2877]) ).
thf(f18609,definition,
( spl2_344
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_344])],[avatar_definition]) ).
thf(f18610,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_344 ),
inference(avatar_component_clause,[],[f18609]) ).
thf(f18612,definition,
( spl2_345
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_345])],[avatar_definition]) ).
thf(f18613,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_345 ),
inference(avatar_component_clause,[],[f18612]) ).
thf(f18616,definition,
( spl2_346
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_346])],[avatar_definition]) ).
thf(f18617,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_346 ),
inference(avatar_component_clause,[],[f18616]) ).
thf(f18619,definition,
( spl2_347
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f18620,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f18619]) ).
thf(f18690,definition,
( spl2_349
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_349])],[avatar_definition]) ).
thf(f18691,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_349 ),
inference(avatar_component_clause,[],[f18690]) ).
thf(f18694,definition,
( spl2_350
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_350])],[avatar_definition]) ).
thf(f18695,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_350 ),
inference(avatar_component_clause,[],[f18694]) ).
thf(f18697,definition,
( spl2_351
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_351])],[avatar_definition]) ).
thf(f18698,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_351 ),
inference(avatar_component_clause,[],[f18697]) ).
thf(f18699,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_190 ),
inference(avatar_component_clause,[],[f5720]) ).
thf(f18705,definition,
( spl2_352
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_352])],[avatar_definition]) ).
thf(f18706,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_352 ),
inference(avatar_component_clause,[],[f18705]) ).
thf(f18761,definition,
( spl2_354
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_354])],[avatar_definition]) ).
thf(f18762,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_354 ),
inference(avatar_component_clause,[],[f18761]) ).
thf(f18833,definition,
( spl2_365
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_365])],[avatar_definition]) ).
thf(f18834,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_365 ),
inference(avatar_component_clause,[],[f18833]) ).
thf(f18873,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_351 ),
inference(constrained_superposition,[],[f90,f18698]) ).
thf(f18991,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_12
| ~ spl2_351 ),
inference(forward_subsumption_resolution,[],[f18873,f138]) ).
thf(f19023,plain,
( $false
| spl2_12
| spl2_33
| ~ spl2_351 ),
inference(forward_subsumption_resolution,[],[f18991,f909]) ).
thf(f19024,plain,
( spl2_12
| spl2_33
| ~ spl2_351 ),
inference(avatar_contradiction_clause,[],[f19023]) ).
thf(f19043,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_137
| ~ spl2_190 ),
inference(constrained_superposition,[],[f3522,f18699]) ).
thf(f19061,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_137
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f19043]) ).
thf(f19064,definition,
( spl2_366
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_366])],[avatar_definition]) ).
thf(f19065,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_366 ),
inference(avatar_component_clause,[],[f19064]) ).
thf(f19067,definition,
( spl2_367
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_367])],[avatar_definition]) ).
thf(f19068,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_367 ),
inference(avatar_component_clause,[],[f19067]) ).
thf(f19078,definition,
( spl2_370
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_370])],[avatar_definition]) ).
thf(f19079,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_370 ),
inference(avatar_component_clause,[],[f19078]) ).
thf(f19081,plain,
( spl2_367
| ~ spl2_137
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f19061,f5720,f3521,f19067]) ).
thf(f19131,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_349 ),
inference(constrained_superposition,[],[f90,f18691]) ).
thf(f19136,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_349 ),
inference(constrained_superposition,[],[f180,f18691]) ).
thf(f19229,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_12
| ~ spl2_349 ),
inference(forward_subsumption_resolution,[],[f19131,f138]) ).
thf(f19254,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_71
| ~ spl2_349 ),
inference(forward_subsumption_resolution,[],[f19136,f1191]) ).
thf(f19267,plain,
( $false
| spl2_12
| spl2_33
| ~ spl2_349 ),
inference(forward_subsumption_resolution,[],[f19229,f909]) ).
thf(f19268,plain,
( spl2_12
| spl2_33
| ~ spl2_349 ),
inference(avatar_contradiction_clause,[],[f19267]) ).
thf(f19289,plain,
( $false
| spl2_26
| spl2_71
| ~ spl2_349 ),
inference(forward_subsumption_resolution,[],[f19254,f278]) ).
thf(f19290,plain,
( spl2_26
| spl2_71
| ~ spl2_349 ),
inference(avatar_contradiction_clause,[],[f19289]) ).
thf(f19304,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_107
| ~ spl2_367 ),
inference(constrained_superposition,[],[f2761,f19068]) ).
thf(f19317,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_107
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f19304]) ).
thf(f19332,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_107
| ~ spl2_367 ),
inference(constrained_superposition,[],[f19317,f50]) ).
thf(f19335,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_107
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f19332]) ).
thf(f19342,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_107
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f19335,f39]) ).
thf(f19344,plain,
( spl2_329
| ~ spl2_107
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f19342,f19067,f2760,f18240]) ).
thf(f19361,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_329 ),
inference(constrained_superposition,[],[f28,f18241]) ).
thf(f19374,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f19361]) ).
thf(f19392,plain,
( spl2_330
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f19374,f18240,f18244]) ).
thf(f19394,definition,
( spl2_376
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_376])],[avatar_definition]) ).
thf(f19395,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_376 ),
inference(avatar_component_clause,[],[f19394]) ).
thf(f19401,definition,
( spl2_377
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_377])],[avatar_definition]) ).
thf(f19402,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_377 ),
inference(avatar_component_clause,[],[f19401]) ).
thf(f19405,definition,
( spl2_378
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_378])],[avatar_definition]) ).
thf(f19406,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_378 ),
inference(avatar_component_clause,[],[f19405]) ).
thf(f19439,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_63
| ~ spl2_326 ),
inference(constrained_superposition,[],[f17415,f18224]) ).
thf(f19447,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_326 ),
inference(constrained_superposition,[],[f29,f18224]) ).
thf(f19450,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_63
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f19439]) ).
thf(f19458,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f19447]) ).
thf(f19460,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_63
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f19450,f39]) ).
thf(f19462,plain,
( spl2_327
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f19458,f18223,f18232]) ).
thf(f19463,plain,
( spl2_329
| ~ spl2_63
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f19460,f18223,f1001,f18240]) ).
thf(f19603,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_190 ),
inference(constrained_superposition,[],[f5721,f23]) ).
thf(f19605,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_190 ),
inference(trivial_inequality_removal,[],[f19603]) ).
thf(f19607,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_190 ),
inference(forward_subsumption_resolution,[],[f19605,f39]) ).
thf(f19609,plain,
( spl2_326
| spl2_190 ),
inference(avatar_split_clause,[],[f19607,f5720,f18223]) ).
thf(f19670,plain,
( spl2_292
| spl2_35
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f16755,f2859,f358,f16235]) ).
thf(f19676,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_134
| ~ spl2_156 ),
inference(constrained_superposition,[],[f10707,f3510]) ).
thf(f19686,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f29,f3510]) ).
thf(f19687,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_134
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f19676]) ).
thf(f19702,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f19686]) ).
thf(f19703,plain,
( spl2_331
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f19702,f3509,f18248]) ).
thf(f19734,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_329 ),
inference(constrained_superposition,[],[f2832,f18241]) ).
thf(f19740,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_38
| ~ spl2_329 ),
inference(constrained_superposition,[],[f488,f18241]) ).
thf(f19757,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f19740]) ).
thf(f19761,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f19734]) ).
thf(f19770,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_35
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f19761,f9066]) ).
thf(f19773,plain,
( spl2_377
| spl2_151
| spl2_35
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f19770,f18240,f358,f3816,f19401]) ).
thf(f19925,plain,
( ~ spl2_12
| spl2_116
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f16678,f3788,f2874,f137]) ).
thf(f19926,plain,
( ~ spl2_12
| spl2_151
| spl2_116
| spl2_35 ),
inference(avatar_split_clause,[],[f9101,f358,f2874,f3816,f137]) ).
thf(f19928,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_35 ),
inference(forward_subsumption_resolution,[],[f9099,f3800]) ).
thf(f19929,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_31 ),
inference(forward_subsumption_resolution,[],[f10170,f6863]) ).
thf(f19932,definition,
( spl2_384
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_384])],[avatar_definition]) ).
thf(f19933,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_384 ),
inference(avatar_component_clause,[],[f19932]) ).
thf(f19954,plain,
( spl2_14
| ~ spl2_12
| spl2_35 ),
inference(avatar_split_clause,[],[f19928,f358,f137,f143]) ).
thf(f19955,plain,
( ~ spl2_12
| spl2_14
| spl2_31 ),
inference(avatar_split_clause,[],[f19929,f305,f143,f137]) ).
thf(f20010,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_14
| spl2_35 ),
inference(constrained_superposition,[],[f144,f9066]) ).
thf(f20012,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_14
| ~ spl2_329 ),
inference(constrained_superposition,[],[f144,f18241]) ).
thf(f20019,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f20012]) ).
thf(f20021,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| spl2_35 ),
inference(trivial_inequality_removal,[],[f20010]) ).
thf(f20023,plain,
( ~ spl2_378
| ~ spl2_14
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f20019,f18240,f143,f19405]) ).
thf(f20024,plain,
( ~ spl2_34
| ~ spl2_14
| spl2_35 ),
inference(avatar_split_clause,[],[f20021,f358,f143,f355]) ).
thf(f20171,definition,
( spl2_395
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_395])],[avatar_definition]) ).
thf(f20172,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_395 ),
inference(avatar_component_clause,[],[f20171]) ).
thf(f20175,definition,
( spl2_396
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_396])],[avatar_definition]) ).
thf(f20176,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_396 ),
inference(avatar_component_clause,[],[f20175]) ).
thf(f20181,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_378 ),
inference(constrained_superposition,[],[f19406,f90]) ).
thf(f20183,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_378 ),
inference(trivial_inequality_removal,[],[f20181]) ).
thf(f20185,plain,
( spl2_384
| spl2_378 ),
inference(avatar_split_clause,[],[f20183,f19405,f19932]) ).
thf(f20219,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_308
| ~ spl2_377 ),
inference(constrained_superposition,[],[f16824,f19402]) ).
thf(f20233,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_308
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f20219]) ).
thf(f20245,definition,
( spl2_399
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_399])],[avatar_definition]) ).
thf(f20246,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_399 ),
inference(avatar_component_clause,[],[f20245]) ).
thf(f20252,definition,
( spl2_400
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_400])],[avatar_definition]) ).
thf(f20253,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_400 ),
inference(avatar_component_clause,[],[f20252]) ).
thf(f20262,plain,
( ~ spl2_326
| ~ spl2_399
| ~ spl2_308
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f20233,f19401,f16823,f20245,f18223]) ).
thf(f20606,definition,
( spl2_406
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_406])],[avatar_definition]) ).
thf(f20607,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_406 ),
inference(avatar_component_clause,[],[f20606]) ).
thf(f20609,definition,
( spl2_407
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_407])],[avatar_definition]) ).
thf(f20610,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_407 ),
inference(avatar_component_clause,[],[f20609]) ).
thf(f20614,definition,
( spl2_408
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_408])],[avatar_definition]) ).
thf(f20615,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_408 ),
inference(avatar_component_clause,[],[f20614]) ).
thf(f20617,definition,
( spl2_409
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_409])],[avatar_definition]) ).
thf(f20618,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_409 ),
inference(avatar_component_clause,[],[f20617]) ).
thf(f20620,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_137
| ~ spl2_409 ),
inference(constrained_superposition,[],[f3522,f20618]) ).
thf(f20636,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_137
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f20620]) ).
thf(f20641,definition,
( spl2_410
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_410])],[avatar_definition]) ).
thf(f20642,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_410 ),
inference(avatar_component_clause,[],[f20641]) ).
thf(f20644,definition,
( spl2_411
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_411])],[avatar_definition]) ).
thf(f20645,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_411 ),
inference(avatar_component_clause,[],[f20644]) ).
thf(f20658,plain,
( spl2_411
| ~ spl2_137
| ~ spl2_409 ),
inference(avatar_split_clause,[],[f20636,f20617,f3521,f20644]) ).
thf(f20659,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_107
| ~ spl2_411 ),
inference(constrained_superposition,[],[f2761,f20645]) ).
thf(f20668,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_107
| ~ spl2_411 ),
inference(trivial_inequality_removal,[],[f20659]) ).
thf(f20671,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_107
| ~ spl2_411 ),
inference(constrained_superposition,[],[f20668,f50]) ).
thf(f20674,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_107
| ~ spl2_411 ),
inference(trivial_inequality_removal,[],[f20671]) ).
thf(f20679,definition,
( spl2_416
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_416])],[avatar_definition]) ).
thf(f20680,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_416 ),
inference(avatar_component_clause,[],[f20679]) ).
thf(f20682,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_107
| ~ spl2_411 ),
inference(forward_subsumption_resolution,[],[f20674,f39]) ).
thf(f20683,plain,
( spl2_406
| ~ spl2_107
| ~ spl2_411 ),
inference(avatar_split_clause,[],[f20682,f20644,f2760,f20606]) ).
thf(f20719,definition,
( spl2_417
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_417])],[avatar_definition]) ).
thf(f20720,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_417 ),
inference(avatar_component_clause,[],[f20719]) ).
thf(f20722,definition,
( spl2_418
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_418])],[avatar_definition]) ).
thf(f20723,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_418 ),
inference(avatar_component_clause,[],[f20722]) ).
thf(f20734,definition,
( spl2_421
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_421])],[avatar_definition]) ).
thf(f20735,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_421 ),
inference(avatar_component_clause,[],[f20734]) ).
thf(f20792,definition,
( spl2_422
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_422])],[avatar_definition]) ).
thf(f20793,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_422 ),
inference(avatar_component_clause,[],[f20792]) ).
thf(f20795,definition,
( spl2_423
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_423])],[avatar_definition]) ).
thf(f20796,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_423 ),
inference(avatar_component_clause,[],[f20795]) ).
thf(f20802,definition,
( spl2_424
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_424])],[avatar_definition]) ).
thf(f20803,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_424 ),
inference(avatar_component_clause,[],[f20802]) ).
thf(f20810,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_418 ),
inference(avatar_component_clause,[],[f20722]) ).
thf(f20817,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_418 ),
inference(constrained_superposition,[],[f20810,f49]) ).
thf(f20821,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_418 ),
inference(trivial_inequality_removal,[],[f20817]) ).
thf(f20862,definition,
( spl2_425
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_425])],[avatar_definition]) ).
thf(f20863,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_425 ),
inference(avatar_component_clause,[],[f20862]) ).
thf(f20865,definition,
( spl2_426
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_426])],[avatar_definition]) ).
thf(f20866,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_426 ),
inference(avatar_component_clause,[],[f20865]) ).
thf(f20888,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_422 ),
inference(avatar_component_clause,[],[f20792]) ).
thf(f21040,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_156
| ~ spl2_352 ),
inference(constrained_superposition,[],[f18706,f4108]) ).
thf(f21041,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_156
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f21040]) ).
thf(f21048,plain,
( $false
| ~ spl2_97
| ~ spl2_156
| ~ spl2_352 ),
inference(forward_subsumption_resolution,[],[f21041,f2321]) ).
thf(f21049,plain,
( ~ spl2_97
| ~ spl2_156
| ~ spl2_352 ),
inference(avatar_contradiction_clause,[],[f21048]) ).
thf(f21099,definition,
( spl2_432
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_432])],[avatar_definition]) ).
thf(f21100,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_432 ),
inference(avatar_component_clause,[],[f21099]) ).
thf(f21109,definition,
( spl2_434
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_434])],[avatar_definition]) ).
thf(f21110,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_434 ),
inference(avatar_component_clause,[],[f21109]) ).
thf(f21114,definition,
( spl2_435
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_435])],[avatar_definition]) ).
thf(f21115,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_435 ),
inference(avatar_component_clause,[],[f21114]) ).
thf(f21248,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_400 ),
inference(constrained_superposition,[],[f20253,f49]) ).
thf(f21255,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_400 ),
inference(trivial_inequality_removal,[],[f21248]) ).
thf(f21278,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_425
| ~ spl2_434 ),
inference(constrained_superposition,[],[f21110,f20863]) ).
thf(f21283,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_425
| ~ spl2_434 ),
inference(trivial_inequality_removal,[],[f21278]) ).
thf(f21301,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f1349,f18613]) ).
thf(f21309,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f21301]) ).
thf(f21331,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_411
| ~ spl2_423 ),
inference(constrained_superposition,[],[f20796,f20645]) ).
thf(f21339,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_411
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f21331]) ).
thf(f21376,definition,
( spl2_438
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_438])],[avatar_definition]) ).
thf(f21377,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_438 ),
inference(avatar_component_clause,[],[f21376]) ).
thf(f21379,definition,
( spl2_439
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_439])],[avatar_definition]) ).
thf(f21380,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_439 ),
inference(avatar_component_clause,[],[f21379]) ).
thf(f21389,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_153
| ~ spl2_411 ),
inference(constrained_superposition,[],[f4081,f20645]) ).
thf(f21393,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_153
| ~ spl2_411 ),
inference(trivial_inequality_removal,[],[f21389]) ).
thf(f21398,plain,
( $false
| ~ spl2_153
| ~ spl2_411
| ~ spl2_422 ),
inference(forward_subsumption_resolution,[],[f21393,f20888]) ).
thf(f21399,plain,
( ~ spl2_153
| ~ spl2_411
| ~ spl2_422 ),
inference(avatar_contradiction_clause,[],[f21398]) ).
thf(f21403,definition,
( spl2_440
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_440])],[avatar_definition]) ).
thf(f21404,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_440 ),
inference(avatar_component_clause,[],[f21403]) ).
thf(f21406,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_97
| ~ spl2_400 ),
inference(forward_subsumption_resolution,[],[f21255,f2321]) ).
thf(f21409,definition,
( spl2_441
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_441])],[avatar_definition]) ).
thf(f21410,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_441 ),
inference(avatar_component_clause,[],[f21409]) ).
thf(f21416,plain,
( spl2_190
| ~ spl2_97
| ~ spl2_400 ),
inference(avatar_split_clause,[],[f21406,f20252,f2315,f5720]) ).
thf(f21417,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_399 ),
inference(avatar_component_clause,[],[f20245]) ).
thf(f21419,plain,
( ~ spl2_31
| ~ spl2_411
| ~ spl2_423 ),
inference(avatar_split_clause,[],[f21339,f20795,f20644,f305]) ).
thf(f21429,plain,
( spl2_98
| spl2_97
| spl2_39 ),
inference(avatar_split_clause,[],[f1402,f492,f2315,f2319]) ).
thf(f21437,definition,
( spl2_446
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_446])],[avatar_definition]) ).
thf(f21438,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_446 ),
inference(avatar_component_clause,[],[f21437]) ).
thf(f21449,plain,
( ~ spl2_39
| ~ spl2_425
| ~ spl2_434 ),
inference(avatar_split_clause,[],[f21283,f21109,f20862,f492]) ).
thf(f21451,plain,
( spl2_384
| spl2_399
| ~ spl2_11
| ~ spl2_38
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f19757,f18240,f487,f133,f20245,f19932]) ).
thf(f21463,definition,
( spl2_449
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_449])],[avatar_definition]) ).
thf(f21464,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_449 ),
inference(avatar_component_clause,[],[f21463]) ).
thf(f21466,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f273]) ).
thf(f21471,definition,
( spl2_450
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_450])],[avatar_definition]) ).
thf(f21472,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_450 ),
inference(avatar_component_clause,[],[f21471]) ).
thf(f21479,definition,
( spl2_452
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_452])],[avatar_definition]) ).
thf(f21480,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_452 ),
inference(avatar_component_clause,[],[f21479]) ).
thf(f21494,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f28,f644]) ).
thf(f21506,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f21494]) ).
thf(f21509,plain,
( spl2_321
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f21506,f103,f18024]) ).
thf(f21516,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f29,f306]) ).
thf(f21517,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f21516]) ).
thf(f21521,plain,
( spl2_323
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f21517,f305,f18034]) ).
thf(f21570,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_54
| spl2_190 ),
inference(constrained_superposition,[],[f5721,f815]) ).
thf(f21572,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_54
| spl2_190 ),
inference(trivial_inequality_removal,[],[f21570]) ).
thf(f21574,plain,
( spl2_399
| ~ spl2_54
| spl2_190 ),
inference(avatar_split_clause,[],[f21572,f5720,f814,f20245]) ).
thf(f21596,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_329 ),
inference(constrained_superposition,[],[f107,f18241]) ).
thf(f21608,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f21596]) ).
thf(f21612,plain,
( spl2_409
| spl2_418 ),
inference(avatar_split_clause,[],[f20821,f20722,f20617]) ).
thf(f21639,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_439 ),
inference(constrained_superposition,[],[f21380,f90]) ).
thf(f21640,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_439 ),
inference(constrained_superposition,[],[f21380,f23]) ).
thf(f21641,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_439 ),
inference(trivial_inequality_removal,[],[f21639]) ).
thf(f21642,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_439 ),
inference(trivial_inequality_removal,[],[f21640]) ).
thf(f21643,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_42
| ~ spl2_97 ),
inference(constrained_superposition,[],[f505,f2321]) ).
thf(f21644,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_31
| ~ spl2_42 ),
inference(constrained_superposition,[],[f505,f306]) ).
thf(f21650,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f21644]) ).
thf(f21652,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_42
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f21643]) ).
thf(f21655,plain,
( spl2_153
| ~ spl2_31
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f21650,f504,f305,f4080]) ).
thf(f21656,plain,
( spl2_233
| ~ spl2_42
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f21652,f2315,f504,f9859]) ).
thf(f21697,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_139
| ~ spl2_452 ),
inference(constrained_superposition,[],[f3534,f21480]) ).
thf(f21698,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_63
| ~ spl2_452 ),
inference(constrained_superposition,[],[f1002,f21480]) ).
thf(f21701,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_63
| ~ spl2_452 ),
inference(trivial_inequality_removal,[],[f21698]) ).
thf(f21703,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_139
| ~ spl2_452 ),
inference(trivial_inequality_removal,[],[f21697]) ).
thf(f21706,plain,
( $false
| ~ spl2_63
| ~ spl2_418
| ~ spl2_452 ),
inference(forward_subsumption_resolution,[],[f21701,f20723]) ).
thf(f21707,plain,
( ~ spl2_63
| ~ spl2_418
| ~ spl2_452 ),
inference(avatar_contradiction_clause,[],[f21706]) ).
thf(f21708,plain,
( $false
| ~ spl2_139
| ~ spl2_422
| ~ spl2_452 ),
inference(forward_subsumption_resolution,[],[f21703,f20888]) ).
thf(f21709,plain,
( ~ spl2_139
| ~ spl2_422
| ~ spl2_452 ),
inference(avatar_contradiction_clause,[],[f21708]) ).
thf(f21729,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f98,f18620]) ).
thf(f21740,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f21729]) ).
thf(f21759,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_449 ),
inference(constrained_superposition,[],[f21464,f49]) ).
thf(f21766,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_449 ),
inference(trivial_inequality_removal,[],[f21759]) ).
thf(f21768,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_190
| ~ spl2_449 ),
inference(forward_subsumption_resolution,[],[f21766,f5721]) ).
thf(f21769,plain,
( spl2_233
| spl2_190
| ~ spl2_449 ),
inference(avatar_split_clause,[],[f21768,f21463,f5720,f9859]) ).
thf(f21891,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_411
| ~ spl2_435 ),
inference(constrained_superposition,[],[f21115,f20645]) ).
thf(f21892,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_425
| ~ spl2_435 ),
inference(constrained_superposition,[],[f21115,f20863]) ).
thf(f21893,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_418
| ~ spl2_435 ),
inference(constrained_superposition,[],[f21115,f20723]) ).
thf(f21900,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_411
| ~ spl2_435 ),
inference(trivial_inequality_removal,[],[f21891]) ).
thf(f21902,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_418
| ~ spl2_435 ),
inference(trivial_inequality_removal,[],[f21893]) ).
thf(f21904,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_425
| ~ spl2_435 ),
inference(trivial_inequality_removal,[],[f21892]) ).
thf(f21905,plain,
( spl2_153
| ~ spl2_411
| ~ spl2_435 ),
inference(avatar_split_clause,[],[f21900,f21114,f20644,f4080]) ).
thf(f21907,plain,
( spl2_233
| ~ spl2_418
| ~ spl2_435 ),
inference(avatar_split_clause,[],[f21902,f21114,f20722,f9859]) ).
thf(f21908,plain,
( spl2_152
| ~ spl2_425
| ~ spl2_435 ),
inference(avatar_split_clause,[],[f21904,f21114,f20862,f4076]) ).
thf(f21913,plain,
( spl2_432
| ~ spl2_134
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f19687,f4093,f3509,f21099]) ).
thf(f21914,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_377
| ~ spl2_432 ),
inference(constrained_superposition,[],[f21100,f19402]) ).
thf(f21923,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_377
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f21914]) ).
thf(f22137,plain,
( ~ spl2_190
| ~ spl2_9
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f21608,f18240,f106,f5720]) ).
thf(f22140,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_409 ),
inference(avatar_component_clause,[],[f20617]) ).
thf(f22142,plain,
( ~ spl2_409
| spl2_326
| spl2_399
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f21309,f18612,f20245,f18223,f20617]) ).
thf(f22156,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_46
| ~ spl2_190 ),
inference(constrained_superposition,[],[f523,f18699]) ).
thf(f22160,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_190
| ~ spl2_396 ),
inference(constrained_superposition,[],[f20176,f18699]) ).
thf(f22167,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_190
| ~ spl2_396 ),
inference(trivial_inequality_removal,[],[f22160]) ).
thf(f22175,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_46
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f22156]) ).
thf(f22177,plain,
( ~ spl2_11
| ~ spl2_190
| ~ spl2_396 ),
inference(avatar_split_clause,[],[f22167,f20175,f5720,f133]) ).
thf(f22180,plain,
( spl2_367
| spl2_370
| ~ spl2_46
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f22175,f5720,f522,f19078,f19067]) ).
thf(f22181,plain,
( spl2_452
| ~ spl2_378
| spl2_396
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f21740,f18619,f20175,f19405,f21479]) ).
thf(f22227,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_367
| ~ spl2_449 ),
inference(constrained_superposition,[],[f21464,f19068]) ).
thf(f22228,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_384
| ~ spl2_449 ),
inference(constrained_superposition,[],[f21464,f19933]) ).
thf(f22234,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_367
| ~ spl2_449 ),
inference(trivial_inequality_removal,[],[f22227]) ).
thf(f22235,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_384
| ~ spl2_449 ),
inference(trivial_inequality_removal,[],[f22228]) ).
thf(f22239,plain,
( spl2_153
| ~ spl2_367
| ~ spl2_449 ),
inference(avatar_split_clause,[],[f22234,f21463,f19067,f4080]) ).
thf(f22240,plain,
( spl2_152
| ~ spl2_384
| ~ spl2_449 ),
inference(avatar_split_clause,[],[f22235,f21463,f19932,f4076]) ).
thf(f22244,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_153
| ~ spl2_367 ),
inference(constrained_superposition,[],[f4081,f19068]) ).
thf(f22249,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_153
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f22244]) ).
thf(f22253,plain,
( $false
| ~ spl2_153
| ~ spl2_367
| ~ spl2_399 ),
inference(forward_subsumption_resolution,[],[f22249,f21417]) ).
thf(f22254,plain,
( ~ spl2_153
| ~ spl2_367
| ~ spl2_399 ),
inference(avatar_contradiction_clause,[],[f22253]) ).
thf(f22288,plain,
( spl2_425
| spl2_439 ),
inference(avatar_split_clause,[],[f21641,f21379,f20862]) ).
thf(f22294,plain,
( spl2_425
| spl2_416
| spl2_439 ),
inference(avatar_split_clause,[],[f21642,f21379,f20679,f20862]) ).
thf(f22299,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f29,f501]) ).
thf(f22300,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f22299]) ).
thf(f22421,definition,
( spl2_457
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_457])],[avatar_definition]) ).
thf(f22422,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_457 ),
inference(avatar_component_clause,[],[f22421]) ).
thf(f22427,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_153 ),
inference(constrained_superposition,[],[f4081,f306]) ).
thf(f22432,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f22427]) ).
thf(f22434,plain,
( $false
| ~ spl2_31
| ~ spl2_39
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f22432,f501]) ).
thf(f22435,plain,
( ~ spl2_31
| ~ spl2_39
| ~ spl2_153 ),
inference(avatar_contradiction_clause,[],[f22434]) ).
thf(f22436,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_446 ),
inference(constrained_superposition,[],[f21438,f48]) ).
thf(f22437,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| spl2_446 ),
inference(constrained_superposition,[],[f21438,f23]) ).
thf(f22438,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| spl2_446 ),
inference(trivial_inequality_removal,[],[f22437]) ).
thf(f22439,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_446 ),
inference(trivial_inequality_removal,[],[f22436]) ).
thf(f22440,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| spl2_422
| spl2_446 ),
inference(forward_subsumption_resolution,[],[f22438,f20793]) ).
thf(f22441,plain,
( $false
| spl2_422
| spl2_446 ),
inference(forward_subsumption_resolution,[],[f22439,f20793]) ).
thf(f22442,plain,
( spl2_422
| spl2_446 ),
inference(avatar_contradiction_clause,[],[f22441]) ).
thf(f22443,plain,
( $false
| spl2_422
| spl2_446 ),
inference(forward_subsumption_resolution,[],[f22440,f39]) ).
thf(f22444,plain,
( spl2_422
| spl2_446 ),
inference(avatar_contradiction_clause,[],[f22443]) ).
thf(f22446,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_384
| ~ spl2_408 ),
inference(constrained_superposition,[],[f20615,f19933]) ).
thf(f22456,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_384
| ~ spl2_408 ),
inference(trivial_inequality_removal,[],[f22446]) ).
thf(f22461,plain,
( $false
| ~ spl2_39
| ~ spl2_384
| ~ spl2_408 ),
inference(forward_subsumption_resolution,[],[f22456,f501]) ).
thf(f22462,plain,
( ~ spl2_39
| ~ spl2_384
| ~ spl2_408 ),
inference(avatar_contradiction_clause,[],[f22461]) ).
thf(f22512,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_135
| ~ spl2_190 ),
inference(constrained_superposition,[],[f16495,f18699]) ).
thf(f22521,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_135
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f22512]) ).
thf(f22530,plain,
( spl2_366
| spl2_367
| ~ spl2_135
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f22521,f5720,f3513,f19067,f19064]) ).
thf(f22666,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_331
| ~ spl2_377 ),
inference(constrained_superposition,[],[f18249,f19402]) ).
thf(f22674,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_331
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f22666]) ).
thf(f22719,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_41
| ~ spl2_190 ),
inference(constrained_superposition,[],[f500,f18699]) ).
thf(f22723,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_41
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f22719]) ).
thf(f22727,plain,
( spl2_384
| spl2_370
| ~ spl2_41
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f22723,f5720,f499,f19078,f19932]) ).
thf(f22937,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f1349,f18620]) ).
thf(f22940,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_347
| ~ spl2_396 ),
inference(constrained_superposition,[],[f20176,f18620]) ).
thf(f22941,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_347
| ~ spl2_370 ),
inference(constrained_superposition,[],[f19079,f18620]) ).
thf(f22950,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_347
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f22941]) ).
thf(f22955,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f22937]) ).
thf(f22956,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_347
| ~ spl2_396 ),
inference(trivial_inequality_removal,[],[f22940]) ).
thf(f22967,plain,
( ~ spl2_439
| ~ spl2_347
| ~ spl2_396 ),
inference(avatar_split_clause,[],[f22956,f20175,f18619,f21379]) ).
thf(f22970,plain,
( ~ spl2_409
| ~ spl2_347
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f22950,f19078,f18619,f20617]) ).
thf(f22977,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_354 ),
inference(avatar_component_clause,[],[f18761]) ).
thf(f23044,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_75
| ~ spl2_97 ),
inference(constrained_superposition,[],[f1288,f2321]) ).
thf(f23046,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_75 ),
inference(constrained_superposition,[],[f1288,f49]) ).
thf(f23050,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_75
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f23044]) ).
thf(f23051,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f23046]) ).
thf(f23053,plain,
( $false
| ~ spl2_39
| ~ spl2_75
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f23050,f501]) ).
thf(f23054,plain,
( ~ spl2_39
| ~ spl2_75
| ~ spl2_97 ),
inference(avatar_contradiction_clause,[],[f23053]) ).
thf(f23055,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_8
| ~ spl2_75 ),
inference(forward_subsumption_resolution,[],[f23051,f104]) ).
thf(f23056,plain,
( $false
| spl2_8
| ~ spl2_39
| ~ spl2_75 ),
inference(forward_subsumption_resolution,[],[f23055,f501]) ).
thf(f23057,plain,
( spl2_8
| ~ spl2_39
| ~ spl2_75 ),
inference(avatar_contradiction_clause,[],[f23056]) ).
thf(f23112,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_347
| spl2_418 ),
inference(forward_subsumption_resolution,[],[f22955,f20810]) ).
thf(f23113,plain,
( spl2_422
| ~ spl2_190
| ~ spl2_347
| spl2_418 ),
inference(avatar_split_clause,[],[f23112,f20722,f18619,f5720,f20792]) ).
thf(f23138,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_354 ),
inference(constrained_superposition,[],[f22977,f178]) ).
thf(f23139,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_354 ),
inference(constrained_superposition,[],[f22977,f87]) ).
thf(f23141,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_354 ),
inference(trivial_inequality_removal,[],[f23138]) ).
thf(f23143,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_354 ),
inference(trivial_inequality_removal,[],[f23139]) ).
thf(f23144,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_354 ),
inference(forward_subsumption_resolution,[],[f23141,f39]) ).
thf(f23146,plain,
( spl2_23
| spl2_350
| spl2_354 ),
inference(avatar_split_clause,[],[f23143,f18761,f18694,f237]) ).
thf(f23147,plain,
( spl2_350
| spl2_354 ),
inference(avatar_split_clause,[],[f23144,f18761,f18694]) ).
thf(f23208,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_9
| spl2_35 ),
inference(constrained_superposition,[],[f107,f9066]) ).
thf(f23218,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_9
| spl2_35 ),
inference(trivial_inequality_removal,[],[f23208]) ).
thf(f23221,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_143 ),
inference(constrained_superposition,[],[f3724,f181]) ).
thf(f23226,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_143 ),
inference(trivial_inequality_removal,[],[f23221]) ).
thf(f23229,plain,
( spl2_367
| spl2_143 ),
inference(avatar_split_clause,[],[f23226,f3723,f19067]) ).
thf(f23280,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_416 ),
inference(constrained_superposition,[],[f90,f20680]) ).
thf(f23367,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_33
| ~ spl2_416 ),
inference(forward_subsumption_resolution,[],[f23280,f909]) ).
thf(f23382,plain,
( $false
| spl2_12
| spl2_33
| ~ spl2_416 ),
inference(forward_subsumption_resolution,[],[f23367,f138]) ).
thf(f23383,plain,
( spl2_12
| spl2_33
| ~ spl2_416 ),
inference(avatar_contradiction_clause,[],[f23382]) ).
thf(f23494,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_251
| ~ spl2_421 ),
inference(constrained_superposition,[],[f12096,f20735]) ).
thf(f23495,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_331
| ~ spl2_421 ),
inference(constrained_superposition,[],[f18249,f20735]) ).
thf(f23497,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_421
| ~ spl2_432 ),
inference(constrained_superposition,[],[f21100,f20735]) ).
thf(f23503,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_251
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f23494]) ).
thf(f23509,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_421
| ~ spl2_432 ),
inference(trivial_inequality_removal,[],[f23497]) ).
thf(f23510,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_331
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f23495]) ).
thf(f23545,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_395 ),
inference(constrained_superposition,[],[f20172,f90]) ).
thf(f23551,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_395 ),
inference(trivial_inequality_removal,[],[f23545]) ).
thf(f23554,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_35
| ~ spl2_395 ),
inference(forward_subsumption_resolution,[],[f23551,f9066]) ).
thf(f23555,plain,
( spl2_384
| spl2_35
| ~ spl2_395 ),
inference(avatar_split_clause,[],[f23554,f20171,f358,f19932]) ).
thf(f23559,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_426 ),
inference(constrained_superposition,[],[f20866,f89]) ).
thf(f23570,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f23559]) ).
thf(f23573,plain,
( ~ spl2_378
| spl2_452
| ~ spl2_426 ),
inference(avatar_split_clause,[],[f23570,f20865,f21479,f19405]) ).
thf(f23979,plain,
( spl2_95
| ~ spl2_50
| spl2_96
| ~ spl2_27 ),
inference(avatar_split_clause,[],[f10488,f280,f2312,f541,f2309]) ).
thf(f23981,plain,
( ~ spl2_113
| ~ spl2_9
| spl2_35 ),
inference(avatar_split_clause,[],[f23218,f358,f106,f2859]) ).
thf(f24024,plain,
( ~ spl2_422
| spl2_435
| ~ spl2_331
| ~ spl2_421 ),
inference(avatar_split_clause,[],[f23510,f20734,f18248,f21114,f20792]) ).
thf(f24025,plain,
( ~ spl2_422
| ~ spl2_251
| ~ spl2_421 ),
inference(avatar_split_clause,[],[f23503,f20734,f12095,f20792]) ).
thf(f24026,plain,
( ~ spl2_399
| spl2_408
| ~ spl2_377
| ~ spl2_432 ),
inference(avatar_split_clause,[],[f21923,f21099,f19401,f20614,f20245]) ).
thf(f24032,plain,
( ~ spl2_399
| spl2_449
| ~ spl2_331
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f22674,f19401,f18248,f21463,f20245]) ).
thf(f24044,plain,
( spl2_434
| ~ spl2_422
| ~ spl2_421
| ~ spl2_432 ),
inference(avatar_split_clause,[],[f23509,f21099,f20734,f20792,f21109]) ).
thf(f24063,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_45 ),
inference(constrained_superposition,[],[f29,f520]) ).
thf(f24064,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f24063]) ).
thf(f24065,plain,
( spl2_316
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f24064,f519,f17970]) ).
thf(f24071,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_50 ),
inference(constrained_superposition,[],[f29,f542]) ).
thf(f24076,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f24071]) ).
thf(f24078,plain,
( spl2_320
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f24076,f541,f18018]) ).
thf(f24280,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_354
| ~ spl2_396 ),
inference(constrained_superposition,[],[f20176,f18762]) ).
thf(f24289,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_354
| ~ spl2_396 ),
inference(trivial_inequality_removal,[],[f24280]) ).
thf(f24302,plain,
( ~ spl2_34
| ~ spl2_354
| ~ spl2_396 ),
inference(avatar_split_clause,[],[f24289,f20175,f18761,f355]) ).
thf(f24304,definition,
( spl2_465
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_465])],[avatar_definition]) ).
thf(f24305,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_465 ),
inference(avatar_component_clause,[],[f24304]) ).
thf(f24591,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_151 ),
inference(constrained_superposition,[],[f3817,f48]) ).
thf(f24602,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f24591]) ).
thf(f24636,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_465 ),
inference(constrained_superposition,[],[f24305,f89]) ).
thf(f24641,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_465 ),
inference(trivial_inequality_removal,[],[f24636]) ).
thf(f24648,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_35
| ~ spl2_465 ),
inference(forward_subsumption_resolution,[],[f24641,f9066]) ).
thf(f24649,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_35
| ~ spl2_79
| ~ spl2_465 ),
inference(forward_subsumption_resolution,[],[f24648,f1475]) ).
thf(f24650,plain,
( $false
| ~ spl2_8
| spl2_35
| ~ spl2_79
| ~ spl2_465 ),
inference(forward_subsumption_resolution,[],[f24649,f644]) ).
thf(f24651,plain,
( ~ spl2_8
| spl2_35
| ~ spl2_79
| ~ spl2_465 ),
inference(avatar_contradiction_clause,[],[f24650]) ).
thf(f24956,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_229
| spl2_399 ),
inference(constrained_superposition,[],[f20246,f9707]) ).
thf(f24959,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_229
| spl2_399 ),
inference(trivial_inequality_removal,[],[f24956]) ).
thf(f24961,plain,
( $false
| ~ spl2_229
| spl2_399 ),
inference(forward_subsumption_resolution,[],[f24959,f39]) ).
thf(f24962,plain,
( ~ spl2_229
| spl2_399 ),
inference(avatar_contradiction_clause,[],[f24961]) ).
thf(f25101,plain,
( ~ spl2_8
| spl2_156
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f24602,f3816,f4093,f103]) ).
thf(f25107,plain,
( spl2_134
| spl2_156
| ~ spl2_8
| spl2_35 ),
inference(avatar_split_clause,[],[f9096,f358,f103,f4093,f3509]) ).
thf(f25114,definition,
( spl2_468
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_468])],[avatar_definition]) ).
thf(f25115,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_468 ),
inference(avatar_component_clause,[],[f25114]) ).
thf(f25117,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_450 ),
inference(avatar_component_clause,[],[f21471]) ).
thf(f25120,definition,
( spl2_469
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_469])],[avatar_definition]) ).
thf(f25121,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_469 ),
inference(avatar_component_clause,[],[f25120]) ).
thf(f25129,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_39
| ~ spl2_97 ),
inference(constrained_superposition,[],[f22300,f2321]) ).
thf(f25132,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_39
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f25129]) ).
thf(f25135,plain,
( spl2_468
| ~ spl2_39
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f25132,f2315,f492,f25114]) ).
thf(f25319,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_27
| ~ spl2_326 ),
inference(constrained_superposition,[],[f10443,f18224]) ).
thf(f25324,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_22
| ~ spl2_27
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f25319]) ).
thf(f25330,plain,
( spl2_63
| spl2_329
| ~ spl2_22
| ~ spl2_27
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f25324,f18223,f280,f234,f18240,f1001]) ).
thf(f25492,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(constrained_superposition,[],[f9183,f18695]) ).
thf(f25500,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f25492]) ).
thf(f25502,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_151
| ~ spl2_354 ),
inference(constrained_superposition,[],[f3817,f18762]) ).
thf(f25519,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_151
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f25502]) ).
thf(f25536,plain,
( $false
| ~ spl2_151
| ~ spl2_329
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f25519,f18241]) ).
thf(f25537,plain,
( ~ spl2_151
| ~ spl2_329
| ~ spl2_354 ),
inference(avatar_contradiction_clause,[],[f25536]) ).
thf(f25585,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_350
| ~ spl2_352 ),
inference(constrained_superposition,[],[f18706,f18695]) ).
thf(f25592,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_350
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f25585]) ).
thf(f25596,plain,
( ~ spl2_450
| ~ spl2_350
| ~ spl2_352 ),
inference(avatar_split_clause,[],[f25592,f18705,f18694,f21471]) ).
thf(f25597,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_450 ),
inference(constrained_superposition,[],[f25117,f50]) ).
thf(f25599,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_450 ),
inference(trivial_inequality_removal,[],[f25597]) ).
thf(f25770,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_418
| ~ spl2_423 ),
inference(constrained_superposition,[],[f20796,f20723]) ).
thf(f25780,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_418
| ~ spl2_423 ),
inference(trivial_inequality_removal,[],[f25770]) ).
thf(f25783,plain,
( $false
| ~ spl2_97
| ~ spl2_418
| ~ spl2_423 ),
inference(forward_subsumption_resolution,[],[f25780,f2321]) ).
thf(f25784,plain,
( ~ spl2_97
| ~ spl2_418
| ~ spl2_423 ),
inference(avatar_contradiction_clause,[],[f25783]) ).
thf(f26103,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f56,f18613]) ).
thf(f26104,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_345
| ~ spl2_410 ),
inference(constrained_superposition,[],[f20642,f18613]) ).
thf(f26112,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f26103]) ).
thf(f26121,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_345
| ~ spl2_410 ),
inference(trivial_inequality_removal,[],[f26104]) ).
thf(f26131,definition,
( spl2_472
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_472])],[avatar_definition]) ).
thf(f26132,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_472 ),
inference(avatar_component_clause,[],[f26131]) ).
thf(f26134,definition,
( spl2_473
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_473])],[avatar_definition]) ).
thf(f26135,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_473 ),
inference(avatar_component_clause,[],[f26134]) ).
thf(f26137,plain,
( $false
| ~ spl2_190
| ~ spl2_345
| ~ spl2_410 ),
inference(forward_subsumption_resolution,[],[f26121,f18699]) ).
thf(f26138,plain,
( ~ spl2_190
| ~ spl2_345
| ~ spl2_410 ),
inference(avatar_contradiction_clause,[],[f26137]) ).
thf(f26139,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_345
| ~ spl2_409 ),
inference(forward_subsumption_resolution,[],[f26112,f20618]) ).
thf(f26140,plain,
( spl2_410
| spl2_399
| ~ spl2_345
| ~ spl2_409 ),
inference(avatar_split_clause,[],[f26139,f20617,f18612,f20245,f20641]) ).
thf(f26141,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_399
| ~ spl2_407 ),
inference(constrained_superposition,[],[f20610,f21417]) ).
thf(f26144,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_399
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f26141]) ).
thf(f26145,plain,
( $false
| ~ spl2_97
| ~ spl2_399
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f26144,f2321]) ).
thf(f26146,plain,
( ~ spl2_97
| ~ spl2_399
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f26145]) ).
thf(f26147,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| spl2_472 ),
inference(constrained_superposition,[],[f26132,f178]) ).
thf(f26150,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_472 ),
inference(trivial_inequality_removal,[],[f26147]) ).
thf(f26153,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_472 ),
inference(forward_subsumption_resolution,[],[f26150,f39]) ).
thf(f26155,definition,
( spl2_474
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_474])],[avatar_definition]) ).
thf(f26156,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_474 ),
inference(avatar_component_clause,[],[f26155]) ).
thf(f26162,plain,
( spl2_474
| spl2_472 ),
inference(avatar_split_clause,[],[f26153,f26131,f26155]) ).
thf(f26449,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(constrained_superposition,[],[f25500,f18695]) ).
thf(f26459,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(duplicate_literal_removal,[],[f26449]) ).
thf(f26460,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f26459]) ).
thf(f26466,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f26460,f281]) ).
thf(f26468,plain,
( ( $true != $true )
| ~ spl2_27
| ~ spl2_123
| ~ spl2_350 ),
inference(constrained_superposition,[],[f26466,f3176]) ).
thf(f26473,plain,
( $false
| ~ spl2_27
| ~ spl2_123
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f26468]) ).
thf(f26474,plain,
( ~ spl2_27
| ~ spl2_123
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f26473]) ).
thf(f26482,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_150 ),
inference(avatar_component_clause,[],[f3813]) ).
thf(f26485,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_27
| ~ spl2_35 ),
inference(constrained_superposition,[],[f10349,f359]) ).
thf(f26490,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_35
| ~ spl2_55 ),
inference(constrained_superposition,[],[f818,f359]) ).
thf(f26493,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_35 ),
inference(constrained_superposition,[],[f29,f359]) ).
thf(f26494,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_22
| ~ spl2_27
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f26485]) ).
thf(f26499,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f26493]) ).
thf(f26501,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_35
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f26490]) ).
thf(f26503,plain,
( spl2_132
| ~ spl2_22
| ~ spl2_27
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f26494,f358,f280,f234,f3469]) ).
thf(f26509,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_107
| ~ spl2_123 ),
inference(constrained_superposition,[],[f2761,f3176]) ).
thf(f26514,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_107
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f26509]) ).
thf(f26516,plain,
( $false
| ~ spl2_35
| ~ spl2_107
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f26514,f359]) ).
thf(f26517,plain,
( ~ spl2_35
| ~ spl2_107
| ~ spl2_123 ),
inference(avatar_contradiction_clause,[],[f26516]) ).
thf(f26692,plain,
( ( $true != $true )
| ~ spl2_78
| spl2_156 ),
inference(constrained_superposition,[],[f4094,f1453]) ).
thf(f26699,plain,
( $false
| ~ spl2_78
| spl2_156 ),
inference(trivial_inequality_removal,[],[f26692]) ).
thf(f26700,plain,
( ~ spl2_78
| spl2_156 ),
inference(avatar_contradiction_clause,[],[f26699]) ).
thf(f26705,definition,
( spl2_476
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_476])],[avatar_definition]) ).
thf(f26706,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_476 ),
inference(avatar_component_clause,[],[f26705]) ).
thf(f26745,plain,
( ( $true != $true )
| ~ spl2_35
| ~ spl2_79 ),
inference(constrained_superposition,[],[f1475,f359]) ).
thf(f26753,plain,
( $false
| ~ spl2_35
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f26745]) ).
thf(f26754,plain,
( ~ spl2_35
| ~ spl2_79 ),
inference(avatar_contradiction_clause,[],[f26753]) ).
thf(f26758,plain,
( spl2_140
| ~ spl2_97
| spl2_18
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f10346,f234,f209,f2315,f3537]) ).
thf(f26760,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_450 ),
inference(forward_subsumption_resolution,[],[f25599,f39]) ).
thf(f26768,plain,
( spl2_42
| ~ spl2_39
| spl2_18
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f9044,f234,f209,f492,f504]) ).
thf(f26772,plain,
( spl2_329
| spl2_450 ),
inference(avatar_split_clause,[],[f26760,f21471,f18240]) ).
thf(f26777,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_134 ),
inference(avatar_component_clause,[],[f3509]) ).
thf(f26778,plain,
( ~ spl2_134
| ~ spl2_156
| ~ spl2_35
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f26501,f817,f358,f4093,f3509]) ).
thf(f26781,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f29,f501]) ).
thf(f26783,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f26781]) ).
thf(f26841,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f56,f7931]) ).
thf(f26850,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f26841]) ).
thf(f26892,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_233
| ~ spl2_399 ),
inference(constrained_superposition,[],[f9860,f21417]) ).
thf(f26895,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_233
| ~ spl2_399 ),
inference(trivial_inequality_removal,[],[f26892]) ).
thf(f26896,plain,
( $false
| ~ spl2_233
| ~ spl2_326
| ~ spl2_399 ),
inference(forward_subsumption_resolution,[],[f26895,f18224]) ).
thf(f26897,plain,
( ~ spl2_233
| ~ spl2_326
| ~ spl2_399 ),
inference(avatar_contradiction_clause,[],[f26896]) ).
thf(f26912,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f73,f3176]) ).
thf(f26915,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f26912]) ).
thf(f26918,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| spl2_113
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f26915,f2860]) ).
thf(f26919,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_45
| spl2_113
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f26918,f520]) ).
thf(f26920,plain,
( spl2_47
| ~ spl2_45
| spl2_113
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f26919,f3175,f2859,f519,f526]) ).
thf(f27019,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_55
| ~ spl2_450 ),
inference(constrained_superposition,[],[f818,f21472]) ).
thf(f27025,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_55
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f27019]) ).
thf(f27026,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_55
| ~ spl2_326
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f27025,f18224]) ).
thf(f27027,plain,
( $false
| ~ spl2_55
| ~ spl2_326
| ~ spl2_399
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f27026,f21417]) ).
thf(f27028,plain,
( ~ spl2_55
| ~ spl2_326
| ~ spl2_399
| ~ spl2_450 ),
inference(avatar_contradiction_clause,[],[f27027]) ).
thf(f27061,definition,
( spl2_482
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_482])],[avatar_definition]) ).
thf(f27062,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_482 ),
inference(avatar_component_clause,[],[f27061]) ).
thf(f27125,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f217,f90]) ).
thf(f27127,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_20 ),
inference(constrained_superposition,[],[f217,f511]) ).
thf(f27130,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f27127]) ).
thf(f27132,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f27125]) ).
thf(f27151,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_147 ),
inference(constrained_superposition,[],[f3797,f90]) ).
thf(f27154,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f27151]) ).
thf(f27160,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_8
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f27154,f644]) ).
thf(f27161,plain,
( spl2_116
| ~ spl2_8
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f27160,f3796,f103,f2874]) ).
thf(f27195,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f28,f18762]) ).
thf(f27212,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f27195]) ).
thf(f27244,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_35
| ~ spl2_42 ),
inference(constrained_superposition,[],[f505,f359]) ).
thf(f27255,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_35
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f27244]) ).
thf(f27258,plain,
( spl2_265
| ~ spl2_35
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f27255,f504,f358,f13706]) ).
thf(f27261,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_265 ),
inference(constrained_superposition,[],[f13707,f359]) ).
thf(f27264,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f27261]) ).
thf(f27269,plain,
( $false
| ~ spl2_35
| ~ spl2_39
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f27264,f501]) ).
thf(f27270,plain,
( ~ spl2_35
| ~ spl2_39
| ~ spl2_265 ),
inference(avatar_contradiction_clause,[],[f27269]) ).
thf(f27384,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_367
| ~ spl2_408 ),
inference(constrained_superposition,[],[f20615,f19068]) ).
thf(f27392,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_367
| ~ spl2_408 ),
inference(trivial_inequality_removal,[],[f27384]) ).
thf(f27396,plain,
( $false
| ~ spl2_45
| ~ spl2_367
| ~ spl2_408 ),
inference(forward_subsumption_resolution,[],[f27392,f520]) ).
thf(f27397,plain,
( ~ spl2_45
| ~ spl2_367
| ~ spl2_408 ),
inference(avatar_contradiction_clause,[],[f27396]) ).
thf(f27462,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_27
| ~ spl2_469 ),
inference(constrained_superposition,[],[f25121,f281]) ).
thf(f27467,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f27462]) ).
thf(f27488,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_344
| ~ spl2_434 ),
inference(constrained_superposition,[],[f21110,f18610]) ).
thf(f27496,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_344
| ~ spl2_434 ),
inference(trivial_inequality_removal,[],[f27488]) ).
thf(f27498,plain,
( $false
| ~ spl2_344
| ~ spl2_399
| ~ spl2_434 ),
inference(forward_subsumption_resolution,[],[f27496,f21417]) ).
thf(f27499,plain,
( ~ spl2_344
| ~ spl2_399
| ~ spl2_434 ),
inference(avatar_contradiction_clause,[],[f27498]) ).
thf(f27565,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_347
| ~ spl2_395 ),
inference(constrained_superposition,[],[f20172,f18620]) ).
thf(f27572,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_347
| ~ spl2_395 ),
inference(trivial_inequality_removal,[],[f27565]) ).
thf(f27578,plain,
( ~ spl2_472
| ~ spl2_347
| ~ spl2_395 ),
inference(avatar_split_clause,[],[f27572,f20171,f18619,f26131]) ).
thf(f27596,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_35
| ~ spl2_469 ),
inference(constrained_superposition,[],[f27467,f359]) ).
thf(f27603,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_27
| ~ spl2_35
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f27596]) ).
thf(f27608,plain,
( $false
| ~ spl2_27
| ~ spl2_35
| ~ spl2_134
| ~ spl2_469 ),
inference(forward_subsumption_resolution,[],[f27603,f3510]) ).
thf(f27609,plain,
( ~ spl2_27
| ~ spl2_35
| ~ spl2_134
| ~ spl2_469 ),
inference(avatar_contradiction_clause,[],[f27608]) ).
thf(f27626,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_321 ),
inference(constrained_superposition,[],[f18025,f90]) ).
thf(f27631,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f27626]) ).
thf(f27654,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_426 ),
inference(constrained_superposition,[],[f20866,f1974]) ).
thf(f27662,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f27654]) ).
thf(f27664,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_354
| ~ spl2_426 ),
inference(forward_subsumption_resolution,[],[f27662,f18762]) ).
thf(f27665,plain,
( spl2_421
| ~ spl2_354
| ~ spl2_426 ),
inference(avatar_split_clause,[],[f27664,f20865,f18761,f20734]) ).
thf(f27697,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_411
| ~ spl2_434 ),
inference(constrained_superposition,[],[f21110,f20645]) ).
thf(f27707,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_411
| ~ spl2_434 ),
inference(trivial_inequality_removal,[],[f27697]) ).
thf(f27709,plain,
( $false
| ~ spl2_45
| ~ spl2_411
| ~ spl2_434 ),
inference(forward_subsumption_resolution,[],[f27707,f520]) ).
thf(f27710,plain,
( ~ spl2_45
| ~ spl2_411
| ~ spl2_434 ),
inference(avatar_contradiction_clause,[],[f27709]) ).
thf(f27806,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_35
| ~ spl2_39 ),
inference(constrained_superposition,[],[f26783,f359]) ).
thf(f27807,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_39
| ~ spl2_450 ),
inference(constrained_superposition,[],[f26783,f21472]) ).
thf(f27813,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_39
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f27807]) ).
thf(f27818,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_35
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f27806]) ).
thf(f27822,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_35
| ~ spl2_39 ),
inference(constrained_superposition,[],[f27818,f49]) ).
thf(f27827,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_35
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f27822]) ).
thf(f27830,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_39
| ~ spl2_346
| ~ spl2_450 ),
inference(constrained_superposition,[],[f27813,f18617]) ).
thf(f27833,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_39
| ~ spl2_450 ),
inference(constrained_superposition,[],[f27813,f49]) ).
thf(f27839,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_39
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f27833]) ).
thf(f27841,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_39
| ~ spl2_346
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f27830]) ).
thf(f27843,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_346
| ~ spl2_450 ),
inference(constrained_superposition,[],[f27841,f18617]) ).
thf(f27850,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_39
| ~ spl2_346
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f27843]) ).
thf(f28391,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f27212,f48]) ).
thf(f28392,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f27212,f89]) ).
thf(f28396,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f27212,f1974]) ).
thf(f28398,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f28391]) ).
thf(f28402,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f28392]) ).
thf(f28403,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_354 ),
inference(duplicate_literal_removal,[],[f28396]) ).
thf(f28404,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f28403]) ).
thf(f28406,definition,
( spl2_484
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_484])],[avatar_definition]) ).
thf(f28407,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_484 ),
inference(avatar_component_clause,[],[f28406]) ).
thf(f28408,plain,
( spl2_484
| spl2_377
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f28404,f18761,f19401,f28406]) ).
thf(f28429,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_39
| ~ spl2_346
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f27850,f21472]) ).
thf(f28433,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_39
| spl2_190
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f27839,f5721]) ).
thf(f28438,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_35
| ~ spl2_39
| spl2_113 ),
inference(forward_subsumption_resolution,[],[f27827,f2860]) ).
thf(f28443,plain,
( ~ spl2_399
| ~ spl2_39
| ~ spl2_346
| ~ spl2_450 ),
inference(avatar_split_clause,[],[f28429,f21471,f18616,f492,f20245]) ).
thf(f28445,plain,
( spl2_55
| ~ spl2_39
| spl2_190
| ~ spl2_450 ),
inference(avatar_split_clause,[],[f28433,f21471,f5720,f492,f817]) ).
thf(f28447,plain,
( spl2_55
| ~ spl2_35
| ~ spl2_39
| spl2_113 ),
inference(avatar_split_clause,[],[f28438,f2859,f492,f358,f817]) ).
thf(f28448,plain,
( spl2_399
| spl2_465
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f28398,f18761,f24304,f20245]) ).
thf(f28541,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_35
| ~ spl2_377 ),
inference(constrained_superposition,[],[f26499,f19402]) ).
thf(f28553,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_35
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f28541]) ).
thf(f28681,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f170,f18613]) ).
thf(f28694,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f28681]) ).
thf(f28710,plain,
( spl2_384
| spl2_438
| ~ spl2_439
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f28694,f18612,f21379,f21376,f19932]) ).
thf(f28773,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_440 ),
inference(constrained_superposition,[],[f21404,f181]) ).
thf(f28777,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_440 ),
inference(trivial_inequality_removal,[],[f28773]) ).
thf(f28780,plain,
( spl2_411
| spl2_440 ),
inference(avatar_split_clause,[],[f28777,f21403,f20644]) ).
thf(f28843,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_345
| ~ spl2_473 ),
inference(constrained_superposition,[],[f26135,f18613]) ).
thf(f28851,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_345
| ~ spl2_473 ),
inference(trivial_inequality_removal,[],[f28843]) ).
thf(f28855,plain,
( $false
| ~ spl2_345
| ~ spl2_354
| ~ spl2_473 ),
inference(forward_subsumption_resolution,[],[f28851,f18762]) ).
thf(f28856,plain,
( ~ spl2_345
| ~ spl2_354
| ~ spl2_473 ),
inference(avatar_contradiction_clause,[],[f28855]) ).
thf(f28874,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_438 ),
inference(constrained_superposition,[],[f21377,f90]) ).
thf(f28877,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_438 ),
inference(trivial_inequality_removal,[],[f28874]) ).
thf(f28883,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_329 ),
inference(avatar_component_clause,[],[f18240]) ).
thf(f28884,plain,
( spl2_425
| ~ spl2_329
| ~ spl2_438 ),
inference(avatar_split_clause,[],[f28877,f21376,f18240,f20862]) ).
thf(f28940,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_35
| ~ spl2_326
| ~ spl2_377 ),
inference(constrained_superposition,[],[f28553,f18224]) ).
thf(f28951,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_35
| ~ spl2_326
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f28940]) ).
thf(f28954,plain,
( spl2_181
| ~ spl2_35
| ~ spl2_326
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f28951,f19401,f18223,f358,f5199]) ).
thf(f28958,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_181
| ~ spl2_377 ),
inference(constrained_superposition,[],[f5200,f19402]) ).
thf(f28970,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_181
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f28958]) ).
thf(f28972,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_181
| ~ spl2_326
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f28970,f18224]) ).
thf(f28975,plain,
( $false
| ~ spl2_181
| ~ spl2_326
| ~ spl2_377
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f28972,f21472]) ).
thf(f28976,plain,
( ~ spl2_181
| ~ spl2_326
| ~ spl2_377
| ~ spl2_450 ),
inference(avatar_contradiction_clause,[],[f28975]) ).
thf(f28978,definition,
( spl2_486
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_486])],[avatar_definition]) ).
thf(f28979,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_486 ),
inference(avatar_component_clause,[],[f28978]) ).
thf(f28980,plain,
( spl2_486
| spl2_450
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f28402,f18761,f21471,f28978]) ).
thf(f28982,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_34 ),
inference(constrained_superposition,[],[f356,f23]) ).
thf(f28984,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_34 ),
inference(trivial_inequality_removal,[],[f28982]) ).
thf(f28985,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_34
| spl2_117 ),
inference(forward_subsumption_resolution,[],[f28984,f18539]) ).
thf(f28986,plain,
( spl2_116
| spl2_34
| spl2_117 ),
inference(avatar_split_clause,[],[f28985,f2877,f355,f2874]) ).
thf(f28989,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_116
| ~ spl2_251 ),
inference(constrained_superposition,[],[f12096,f2875]) ).
thf(f28992,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_35
| ~ spl2_39
| ~ spl2_116 ),
inference(constrained_superposition,[],[f27818,f2875]) ).
thf(f29004,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_35
| ~ spl2_39
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f28992]) ).
thf(f29006,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_116
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f28989]) ).
thf(f29008,plain,
( spl2_59
| ~ spl2_35
| ~ spl2_39
| ~ spl2_116 ),
inference(avatar_split_clause,[],[f29004,f2874,f492,f358,f905]) ).
thf(f29009,plain,
( $false
| ~ spl2_39
| ~ spl2_116
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f29006,f501]) ).
thf(f29010,plain,
( ~ spl2_39
| ~ spl2_116
| ~ spl2_251 ),
inference(avatar_contradiction_clause,[],[f29009]) ).
thf(f29014,plain,
( ~ spl2_11
| ~ spl2_18
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f27130,f216,f209,f133]) ).
thf(f29118,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_354
| ~ spl2_370 ),
inference(constrained_superposition,[],[f19079,f18762]) ).
thf(f29129,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_354
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f29118]) ).
thf(f29132,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172
| ~ spl2_421 ),
inference(constrained_superposition,[],[f4625,f20735]) ).
thf(f29146,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_172
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f29132]) ).
thf(f29150,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_172
| ~ spl2_421
| ~ spl2_452 ),
inference(forward_subsumption_resolution,[],[f29146,f21480]) ).
thf(f29153,plain,
( spl2_434
| ~ spl2_172
| ~ spl2_421
| ~ spl2_452 ),
inference(avatar_split_clause,[],[f29150,f21479,f20734,f4624,f21109]) ).
thf(f29212,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f56,f18620]) ).
thf(f29225,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f29212]) ).
thf(f29272,plain,
( ~ spl2_113
| ~ spl2_354
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f29129,f19078,f18761,f2859]) ).
thf(f29274,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_190
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f29225,f18699]) ).
thf(f29278,plain,
( spl2_370
| spl2_422
| ~ spl2_190
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f29274,f18619,f5720,f20792,f19078]) ).
thf(f29371,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_476 ),
inference(constrained_superposition,[],[f26706,f89]) ).
thf(f29382,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_476 ),
inference(trivial_inequality_removal,[],[f29371]) ).
thf(f29422,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_59
| ~ spl2_384 ),
inference(constrained_superposition,[],[f906,f19933]) ).
thf(f29423,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_59
| ~ spl2_116 ),
inference(constrained_superposition,[],[f906,f2875]) ).
thf(f29427,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_59
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f29422]) ).
thf(f29429,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_59
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f29423]) ).
thf(f29666,plain,
( ~ spl2_399
| ~ spl2_450
| ~ spl2_59
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f29427,f19932,f905,f21471,f20245]) ).
thf(f29741,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_192
| ~ spl2_329 ),
inference(constrained_superposition,[],[f5758,f18241]) ).
thf(f29764,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_192
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f29741]) ).
thf(f29808,plain,
( spl2_19
| ~ spl2_18
| spl2_39
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f26850,f202,f492,f209,f212]) ).
thf(f29814,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_8
| ~ spl2_192
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f29764,f644]) ).
thf(f29819,plain,
( spl2_367
| ~ spl2_25
| ~ spl2_8
| ~ spl2_192
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f29814,f18240,f5757,f103,f273,f19067]) ).
thf(f29843,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_30 ),
inference(constrained_superposition,[],[f291,f89]) ).
thf(f29850,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f29843]) ).
thf(f29955,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35
| ~ spl2_59
| ~ spl2_116 ),
inference(forward_subsumption_resolution,[],[f29429,f359]) ).
thf(f29956,plain,
( spl2_31
| ~ spl2_11
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f29850,f290,f133,f305]) ).
thf(f29961,plain,
( ~ spl2_156
| ~ spl2_35
| ~ spl2_59
| ~ spl2_116 ),
inference(avatar_split_clause,[],[f29955,f2874,f905,f358,f4093]) ).
thf(f29963,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| ~ spl2_476 ),
inference(forward_subsumption_resolution,[],[f29382,f644]) ).
thf(f29965,plain,
( spl2_35
| ~ spl2_8
| ~ spl2_476 ),
inference(avatar_split_clause,[],[f29963,f26705,f103,f358]) ).
thf(f29967,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f29,f501]) ).
thf(f29969,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f29967]) ).
thf(f30022,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_22
| ~ spl2_227 ),
inference(constrained_superposition,[],[f6766,f9698]) ).
thf(f30031,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_22
| ~ spl2_227 ),
inference(trivial_inequality_removal,[],[f30022]) ).
thf(f30041,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_22
| spl2_50
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f30031,f1187]) ).
thf(f30044,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_22
| spl2_50
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f30041,f39]) ).
thf(f30045,plain,
( spl2_23
| spl2_22
| spl2_50
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f30044,f9697,f541,f234,f237]) ).
thf(f30058,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_150
| ~ spl2_192 ),
inference(constrained_superposition,[],[f5758,f26482]) ).
thf(f30077,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_150
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f30058]) ).
thf(f30201,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f6861,f181]) ).
thf(f30204,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f30201]) ).
thf(f30210,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_192
| ~ spl2_354 ),
inference(constrained_superposition,[],[f5758,f18762]) ).
thf(f30214,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f1349,f18762]) ).
thf(f30227,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_192
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f30210]) ).
thf(f30228,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f30214]) ).
thf(f30361,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_192
| ~ spl2_347 ),
inference(constrained_superposition,[],[f5758,f18620]) ).
thf(f30362,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_99
| ~ spl2_347 ),
inference(constrained_superposition,[],[f2326,f18620]) ).
thf(f30373,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_99
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f30362]) ).
thf(f30376,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_192
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f30361]) ).
thf(f30484,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(avatar_component_clause,[],[f20862]) ).
thf(f30485,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_452 ),
inference(avatar_component_clause,[],[f21479]) ).
thf(f30490,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_425 ),
inference(constrained_superposition,[],[f30484,f50]) ).
thf(f30492,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f30490]) ).
thf(f30494,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f30492,f39]) ).
thf(f30500,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_452 ),
inference(constrained_superposition,[],[f30485,f50]) ).
thf(f30503,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_452 ),
inference(trivial_inequality_removal,[],[f30500]) ).
thf(f30510,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_425 ),
inference(constrained_superposition,[],[f1313,f30494]) ).
thf(f30527,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f30510]) ).
thf(f30533,definition,
( spl2_490
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_490])],[avatar_definition]) ).
thf(f30534,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_490 ),
inference(avatar_component_clause,[],[f30533]) ).
thf(f30537,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_97
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f30527,f2316]) ).
thf(f30538,plain,
( spl2_417
| spl2_97
| spl2_425 ),
inference(avatar_split_clause,[],[f30537,f20862,f2315,f20719]) ).
thf(f30543,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_490 ),
inference(constrained_superposition,[],[f30534,f90]) ).
thf(f30548,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f30543]) ).
thf(f30570,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_210
| spl2_425 ),
inference(constrained_superposition,[],[f30204,f30494]) ).
thf(f30573,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_210
| spl2_425 ),
inference(trivial_inequality_removal,[],[f30570]) ).
thf(f30576,plain,
( spl2_411
| ~ spl2_210
| spl2_425 ),
inference(avatar_split_clause,[],[f30573,f20862,f6860,f20644]) ).
thf(f30631,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_345
| ~ spl2_457 ),
inference(constrained_superposition,[],[f22422,f18613]) ).
thf(f30639,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_345
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f30631]) ).
thf(f30640,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_345
| spl2_425
| ~ spl2_457 ),
inference(forward_subsumption_resolution,[],[f30639,f30494]) ).
thf(f30641,plain,
( ~ spl2_440
| ~ spl2_345
| spl2_425
| ~ spl2_457 ),
inference(avatar_split_clause,[],[f30640,f22421,f20862,f18612,f21403]) ).
thf(f30874,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_327
| ~ spl2_384 ),
inference(constrained_superposition,[],[f18233,f19933]) ).
thf(f30882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_327
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f30874]) ).
thf(f30886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_39
| ~ spl2_327
| ~ spl2_384 ),
inference(forward_subsumption_resolution,[],[f30882,f501]) ).
thf(f30887,plain,
( spl2_42
| ~ spl2_39
| ~ spl2_327
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f30886,f19932,f18232,f492,f504]) ).
thf(f31076,plain,
( ~ spl2_25
| spl2_425
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f30548,f30533,f20862,f273]) ).
thf(f31082,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_8
| ~ spl2_150
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f30077,f644]) ).
thf(f31084,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_452 ),
inference(forward_subsumption_resolution,[],[f30503,f39]) ).
thf(f31089,plain,
( ~ spl2_25
| spl2_123
| ~ spl2_8
| ~ spl2_150
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f31082,f5757,f3813,f103,f3175,f273]) ).
thf(f31090,plain,
( spl2_406
| spl2_452 ),
inference(avatar_split_clause,[],[f31084,f21479,f20606]) ).
thf(f31091,plain,
( spl2_156
| spl2_134
| ~ spl2_190
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f30228,f18761,f5720,f3509,f4093]) ).
thf(f31093,plain,
( ~ spl2_143
| ~ spl2_190
| spl2_411
| ~ spl2_192
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f30376,f18619,f5757,f20644,f5720,f3723]) ).
thf(f31097,plain,
( ~ spl2_378
| ~ spl2_190
| spl2_425
| ~ spl2_99
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f30373,f18619,f2325,f20862,f5720,f19405]) ).
thf(f31099,plain,
( spl2_123
| ~ spl2_143
| ~ spl2_190
| ~ spl2_192
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f30227,f18761,f5757,f5720,f3723,f3175]) ).
thf(f31279,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f6861,f89]) ).
thf(f31282,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f31279]) ).
thf(f31582,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_116
| ~ spl2_148 ),
inference(constrained_superposition,[],[f3803,f2875]) ).
thf(f31587,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_116
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f31582]) ).
thf(f31594,plain,
( spl2_74
| ~ spl2_116
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f31587,f3802,f2874,f1283]) ).
thf(f31723,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_190
| ~ spl2_321 ),
inference(constrained_superposition,[],[f27631,f18699]) ).
thf(f31726,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f28,f18699]) ).
thf(f31733,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_190
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f31723]) ).
thf(f31735,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f31726]) ).
thf(f31739,plain,
( spl2_396
| spl2_384
| ~ spl2_190
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f31733,f18024,f5720,f19932,f20175]) ).
thf(f31769,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_39
| ~ spl2_450 ),
inference(constrained_superposition,[],[f29969,f21472]) ).
thf(f31773,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_39
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f31769]) ).
thf(f31820,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_396 ),
inference(constrained_superposition,[],[f20176,f181]) ).
thf(f31829,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_396 ),
inference(trivial_inequality_removal,[],[f31820]) ).
thf(f31832,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_16
| ~ spl2_396 ),
inference(forward_subsumption_resolution,[],[f31829,f7931]) ).
thf(f31833,plain,
( spl2_367
| ~ spl2_16
| ~ spl2_396 ),
inference(avatar_split_clause,[],[f31832,f20175,f202,f19067]) ).
thf(f31849,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_97 ),
inference(constrained_superposition,[],[f29,f2321]) ).
thf(f31854,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f31849]) ).
thf(f31997,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f271,f181]) ).
thf(f32002,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f31997]) ).
thf(f32052,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(constrained_superposition,[],[f30484,f50]) ).
thf(f32055,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f32052]) ).
thf(f32057,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f32055,f39]) ).
thf(f32147,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_474 ),
inference(constrained_superposition,[],[f73,f26156]) ).
thf(f32149,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_474 ),
inference(trivial_inequality_removal,[],[f32147]) ).
thf(f32156,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_156
| ~ spl2_474 ),
inference(forward_subsumption_resolution,[],[f32149,f4108]) ).
thf(f32158,plain,
( spl2_157
| spl2_409
| ~ spl2_156
| ~ spl2_474 ),
inference(avatar_split_clause,[],[f32156,f26155,f4093,f20617,f4096]) ).
thf(f32229,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_151 ),
inference(constrained_superposition,[],[f3817,f89]) ).
thf(f32239,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f32229]) ).
thf(f32360,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_24
| ~ spl2_150 ),
inference(constrained_superposition,[],[f32002,f26482]) ).
thf(f32365,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_24
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f32360]) ).
thf(f32368,plain,
( spl2_123
| ~ spl2_24
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f32365,f3813,f270,f3175]) ).
thf(f32449,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_39
| ~ spl2_384
| ~ spl2_450 ),
inference(constrained_superposition,[],[f31773,f19933]) ).
thf(f32455,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_39
| ~ spl2_384
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f32449]) ).
thf(f32460,plain,
( spl2_59
| ~ spl2_39
| ~ spl2_384
| ~ spl2_450 ),
inference(avatar_split_clause,[],[f32455,f21471,f19932,f492,f905]) ).
thf(f32549,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f31735,f48]) ).
thf(f32550,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f31735,f89]) ).
thf(f32556,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f32550]) ).
thf(f32560,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_190 ),
inference(duplicate_literal_removal,[],[f32549]) ).
thf(f32561,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f32560]) ).
thf(f32563,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_190
| spl2_399 ),
inference(forward_subsumption_resolution,[],[f32561,f20246]) ).
thf(f32570,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_190
| spl2_399 ),
inference(constrained_superposition,[],[f32563,f1974]) ).
thf(f32573,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_190
| spl2_399 ),
inference(trivial_inequality_removal,[],[f32570]) ).
thf(f32615,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f3789,f1974]) ).
thf(f32621,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f32615]) ).
thf(f32627,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_146
| spl2_425 ),
inference(constrained_superposition,[],[f32621,f32057]) ).
thf(f32631,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_146
| spl2_425 ),
inference(trivial_inequality_removal,[],[f32627]) ).
thf(f32633,plain,
( spl2_421
| ~ spl2_146
| spl2_425 ),
inference(avatar_split_clause,[],[f32631,f20862,f3788,f20734]) ).
thf(f32704,plain,
( ~ spl2_113
| spl2_377
| ~ spl2_190
| spl2_399 ),
inference(avatar_split_clause,[],[f32573,f20245,f5720,f19401,f2859]) ).
thf(f32718,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_113 ),
inference(constrained_superposition,[],[f28,f2917]) ).
thf(f32724,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 @ sK1 ) ) )
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f32718]) ).
thf(f32825,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_345
| ~ spl2_484 ),
inference(constrained_superposition,[],[f28407,f18613]) ).
thf(f32846,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_345
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f32825]) ).
thf(f32861,plain,
( ~ spl2_472
| ~ spl2_345
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f32846,f28406,f18612,f26131]) ).
thf(f32892,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_113 ),
inference(constrained_superposition,[],[f32724,f48]) ).
thf(f32904,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_113 ),
inference(duplicate_literal_removal,[],[f32892]) ).
thf(f32905,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f32904]) ).
thf(f32959,plain,
( spl2_376
| spl2_450
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f32556,f5720,f21471,f19394]) ).
thf(f32961,definition,
( spl2_491
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_491])],[avatar_definition]) ).
thf(f32962,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_491 ),
inference(avatar_component_clause,[],[f32961]) ).
thf(f32966,plain,
( spl2_476
| spl2_156
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f32905,f2859,f4093,f26705]) ).
thf(f33005,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_366
| ~ spl2_384 ),
inference(constrained_superposition,[],[f19933,f19065]) ).
thf(f33030,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_366 ),
inference(constrained_superposition,[],[f181,f19065]) ).
thf(f33116,plain,
( $false
| spl2_22
| ~ spl2_366
| ~ spl2_384 ),
inference(forward_subsumption_resolution,[],[f33005,f6766]) ).
thf(f33117,plain,
( spl2_22
| ~ spl2_366
| ~ spl2_384 ),
inference(avatar_contradiction_clause,[],[f33116]) ).
thf(f33141,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_26
| ~ spl2_366 ),
inference(forward_subsumption_resolution,[],[f33030,f278]) ).
thf(f33163,plain,
( $false
| spl2_26
| spl2_71
| ~ spl2_366 ),
inference(forward_subsumption_resolution,[],[f33141,f1191]) ).
thf(f33164,plain,
( spl2_26
| spl2_71
| ~ spl2_366 ),
inference(avatar_contradiction_clause,[],[f33163]) ).
thf(f33308,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(constrained_superposition,[],[f9183,f18695]) ).
thf(f33316,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f33308]) ).
thf(f33547,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_48
| ~ spl2_422 ),
inference(constrained_superposition,[],[f532,f20888]) ).
thf(f33548,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_48
| ~ spl2_399 ),
inference(constrained_superposition,[],[f532,f21417]) ).
thf(f33550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_48
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f33547]) ).
thf(f33552,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_48
| ~ spl2_399 ),
inference(trivial_inequality_removal,[],[f33548]) ).
thf(f33553,plain,
( spl2_435
| ~ spl2_48
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f33550,f20792,f531,f21114]) ).
thf(f33555,plain,
( spl2_449
| ~ spl2_48
| ~ spl2_399 ),
inference(avatar_split_clause,[],[f33552,f20245,f531,f21463]) ).
thf(f33562,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_350
| ~ spl2_449 ),
inference(constrained_superposition,[],[f21464,f18695]) ).
thf(f33568,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_350
| ~ spl2_449 ),
inference(trivial_inequality_removal,[],[f33562]) ).
thf(f33574,plain,
( spl2_265
| ~ spl2_350
| ~ spl2_449 ),
inference(avatar_split_clause,[],[f33568,f21463,f18694,f13706]) ).
thf(f33577,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_265
| ~ spl2_350 ),
inference(constrained_superposition,[],[f13707,f18695]) ).
thf(f33581,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_265
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f33577]) ).
thf(f33585,plain,
( $false
| ~ spl2_265
| ~ spl2_350
| ~ spl2_399 ),
inference(forward_subsumption_resolution,[],[f33581,f21417]) ).
thf(f33586,plain,
( ~ spl2_265
| ~ spl2_350
| ~ spl2_399 ),
inference(avatar_contradiction_clause,[],[f33585]) ).
thf(f33917,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_418 ),
inference(constrained_superposition,[],[f29,f20723]) ).
thf(f33920,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_418 ),
inference(trivial_inequality_removal,[],[f33917]) ).
thf(f34118,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f3173,f181]) ).
thf(f34120,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f3173,f90]) ).
thf(f34124,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f34120]) ).
thf(f34125,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f34118]) ).
thf(f34132,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(constrained_superposition,[],[f33316,f18695]) ).
thf(f34141,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(duplicate_literal_removal,[],[f34132]) ).
thf(f34142,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f34141]) ).
thf(f34145,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_27
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f34142,f281]) ).
thf(f34156,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_344
| ~ spl2_418 ),
inference(constrained_superposition,[],[f33920,f18610]) ).
thf(f34165,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_344
| ~ spl2_418 ),
inference(trivial_inequality_removal,[],[f34156]) ).
thf(f34171,plain,
( ~ spl2_399
| spl2_449
| ~ spl2_344
| ~ spl2_418 ),
inference(avatar_split_clause,[],[f34165,f20722,f18609,f21463,f20245]) ).
thf(f34172,plain,
( $false
| ~ spl2_27
| ~ spl2_116
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f2875,f34145]) ).
thf(f34173,plain,
( ~ spl2_27
| ~ spl2_116
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f34172]) ).
thf(f34176,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f27132,f6766]) ).
thf(f34177,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_31
| ~ spl2_210 ),
inference(forward_subsumption_resolution,[],[f31282,f6863]) ).
thf(f34178,plain,
( ~ spl2_12
| spl2_35
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f32239,f3816,f358,f137]) ).
thf(f34183,plain,
( ~ spl2_12
| ~ spl2_20
| spl2_22 ),
inference(avatar_split_clause,[],[f34176,f234,f216,f137]) ).
thf(f34184,plain,
( ~ spl2_12
| spl2_31
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f34177,f6860,f305,f137]) ).
thf(f34185,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_117 ),
inference(extensionality_resolution,[],[f178,f18539]) ).
thf(f34186,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_117 ),
inference(extensionality_resolution,[],[f178,f18539]) ).
thf(f34196,plain,
( spl2_347
| spl2_346
| spl2_117 ),
inference(avatar_split_clause,[],[f34186,f2877,f18616,f18619]) ).
thf(f34233,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_35
| ~ spl2_97 ),
inference(constrained_superposition,[],[f31854,f359]) ).
thf(f34237,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_35 ),
inference(constrained_superposition,[],[f73,f359]) ).
thf(f34239,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_35
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f34233]) ).
thf(f34241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f34237]) ).
thf(f34246,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_8
| ~ spl2_35 ),
inference(forward_subsumption_resolution,[],[f34241,f104]) ).
thf(f34337,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f1349,f18762]) ).
thf(f34339,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f56,f18762]) ).
thf(f34351,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f34337]) ).
thf(f34354,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f34339]) ).
thf(f34406,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(constrained_superposition,[],[f30484,f50]) ).
thf(f34408,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f34406]) ).
thf(f34410,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f34408,f39]) ).
thf(f34425,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_37
| spl2_425 ),
inference(constrained_superposition,[],[f440,f34410]) ).
thf(f34438,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_37
| spl2_425 ),
inference(trivial_inequality_removal,[],[f34425]) ).
thf(f34445,plain,
( spl2_490
| spl2_411
| ~ spl2_37
| spl2_425 ),
inference(avatar_split_clause,[],[f34438,f20862,f439,f20644,f30533]) ).
thf(f34517,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_157
| ~ spl2_377 ),
inference(constrained_superposition,[],[f4097,f19402]) ).
thf(f34525,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_157
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f34517]) ).
thf(f34529,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_157
| ~ spl2_377 ),
inference(constrained_superposition,[],[f34525,f19402]) ).
thf(f34534,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_157
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f34529]) ).
thf(f34539,plain,
( $false
| ~ spl2_156
| ~ spl2_157
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f34534,f4108]) ).
thf(f34540,plain,
( ~ spl2_156
| ~ spl2_157
| ~ spl2_377 ),
inference(avatar_contradiction_clause,[],[f34539]) ).
thf(f34545,plain,
( $false
| ~ spl2_95
| spl2_190 ),
inference(forward_subsumption_resolution,[],[f5721,f2310]) ).
thf(f34546,plain,
( ~ spl2_95
| spl2_190 ),
inference(avatar_contradiction_clause,[],[f34545]) ).
thf(f34602,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_157
| ~ spl2_421 ),
inference(constrained_superposition,[],[f4097,f20735]) ).
thf(f34610,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_157
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f34602]) ).
thf(f34617,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_157
| ~ spl2_421 ),
inference(constrained_superposition,[],[f34610,f20735]) ).
thf(f34624,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_157
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f34617]) ).
thf(f34630,plain,
( $false
| ~ spl2_156
| ~ spl2_157
| ~ spl2_421 ),
inference(forward_subsumption_resolution,[],[f34624,f4108]) ).
thf(f34631,plain,
( ~ spl2_156
| ~ spl2_157
| ~ spl2_421 ),
inference(avatar_contradiction_clause,[],[f34630]) ).
thf(f34632,plain,
( spl2_157
| ~ spl2_156
| ~ spl2_35
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f34239,f2315,f358,f4093,f4096]) ).
thf(f34633,plain,
( spl2_157
| ~ spl2_156
| spl2_8
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f34246,f358,f103,f4093,f4096]) ).
thf(f34696,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_354
| ~ spl2_476 ),
inference(constrained_superposition,[],[f26706,f18762]) ).
thf(f34699,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_354
| ~ spl2_476 ),
inference(trivial_inequality_removal,[],[f34696]) ).
thf(f34917,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_486 ),
inference(constrained_superposition,[],[f28979,f180]) ).
thf(f34923,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_486 ),
inference(trivial_inequality_removal,[],[f34917]) ).
thf(f35038,plain,
( spl2_345
| spl2_344
| spl2_117 ),
inference(avatar_split_clause,[],[f34185,f2877,f18609,f18612]) ).
thf(f35044,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f34125,f39]) ).
thf(f35046,plain,
( spl2_123
| spl2_45
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f35044,f3172,f519,f3175]) ).
thf(f35103,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_418 ),
inference(constrained_superposition,[],[f29,f20723]) ).
thf(f35107,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_418 ),
inference(trivial_inequality_removal,[],[f35103]) ).
thf(f35176,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f12089,f49]) ).
thf(f35181,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f35176]) ).
thf(f35219,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_484 ),
inference(constrained_superposition,[],[f28407,f48]) ).
thf(f35221,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_484 ),
inference(constrained_superposition,[],[f28407,f89]) ).
thf(f35223,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_484 ),
inference(constrained_superposition,[],[f28407,f180]) ).
thf(f35228,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f35219]) ).
thf(f35230,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f35221]) ).
thf(f35232,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_484 ),
inference(trivial_inequality_removal,[],[f35223]) ).
thf(f35314,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_418
| ~ spl2_474 ),
inference(constrained_superposition,[],[f35107,f26156]) ).
thf(f35325,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_418
| ~ spl2_474 ),
inference(trivial_inequality_removal,[],[f35314]) ).
thf(f35334,plain,
( ~ spl2_190
| ~ spl2_354
| ~ spl2_476 ),
inference(avatar_split_clause,[],[f34699,f26705,f18761,f5720]) ).
thf(f35336,plain,
( ~ spl2_190
| spl2_370
| spl2_156
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f34354,f18761,f4093,f19078,f5720]) ).
thf(f35338,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f34124,f39]) ).
thf(f35340,plain,
( spl2_157
| ~ spl2_156
| ~ spl2_418
| ~ spl2_474 ),
inference(avatar_split_clause,[],[f35325,f26155,f20722,f4093,f4096]) ).
thf(f35345,plain,
( ~ spl2_150
| spl2_450
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f35230,f28406,f21471,f3813]) ).
thf(f35346,plain,
( spl2_156
| ~ spl2_190
| spl2_134
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f34351,f18761,f3509,f5720,f4093]) ).
thf(f35349,plain,
( ~ spl2_154
| spl2_399
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f35228,f28406,f20245,f4086]) ).
thf(f35350,plain,
( spl2_39
| spl2_116
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f35338,f3172,f2874,f492]) ).
thf(f35368,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f73,f306]) ).
thf(f35370,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f35368]) ).
thf(f35424,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f28,f18699]) ).
thf(f35432,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f35424]) ).
thf(f35446,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_97
| ~ spl2_450 ),
inference(constrained_superposition,[],[f31854,f21472]) ).
thf(f35447,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_450
| ~ spl2_468 ),
inference(constrained_superposition,[],[f25115,f21472]) ).
thf(f35449,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_450 ),
inference(constrained_superposition,[],[f73,f21472]) ).
thf(f35450,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl2_450 ),
inference(constrained_superposition,[],[f29,f21472]) ).
thf(f35451,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f35450]) ).
thf(f35452,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f35449]) ).
thf(f35453,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_450
| ~ spl2_468 ),
inference(trivial_inequality_removal,[],[f35447]) ).
thf(f35454,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_97
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f35446]) ).
thf(f35473,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f213,f180]) ).
thf(f35475,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f213,f90]) ).
thf(f35479,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f35473]) ).
thf(f35484,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f35475]) ).
thf(f35515,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_491 ),
inference(constrained_superposition,[],[f32962,f180]) ).
thf(f35520,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_491 ),
inference(trivial_inequality_removal,[],[f35515]) ).
thf(f35525,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_491 ),
inference(forward_subsumption_resolution,[],[f35520,f511]) ).
thf(f35526,plain,
( spl2_142
| ~ spl2_18
| ~ spl2_491 ),
inference(avatar_split_clause,[],[f35525,f32961,f209,f3720]) ).
thf(f35551,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_325
| ~ spl2_346 ),
inference(constrained_superposition,[],[f18220,f18617]) ).
thf(f35557,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_325
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f35551]) ).
thf(f35560,definition,
( spl2_492
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_492])],[avatar_definition]) ).
thf(f35561,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_492 ),
inference(avatar_component_clause,[],[f35560]) ).
thf(f35562,plain,
( ~ spl2_492
| spl2_434
| ~ spl2_325
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f35557,f18616,f18219,f21109,f35560]) ).
thf(f35579,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_19
| ~ spl2_190 ),
inference(constrained_superposition,[],[f35479,f18699]) ).
thf(f35582,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_19
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f35579]) ).
thf(f35615,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_41
| ~ spl2_190 ),
inference(constrained_superposition,[],[f500,f18699]) ).
thf(f35617,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_18
| ~ spl2_41 ),
inference(constrained_superposition,[],[f500,f511]) ).
thf(f35619,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_18
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f35617]) ).
thf(f35624,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_41
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f35615]) ).
thf(f35629,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_410 ),
inference(constrained_superposition,[],[f20642,f90]) ).
thf(f35638,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_410 ),
inference(trivial_inequality_removal,[],[f35629]) ).
thf(f35641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_131
| ~ spl2_323 ),
inference(constrained_superposition,[],[f18035,f3446]) ).
thf(f35642,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_142
| ~ spl2_323 ),
inference(constrained_superposition,[],[f18035,f3721]) ).
thf(f35646,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_323 ),
inference(constrained_superposition,[],[f18035,f49]) ).
thf(f35652,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_131
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f35641]) ).
thf(f35653,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_142
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f35642]) ).
thf(f35656,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f35646]) ).
thf(f35660,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_131
| ~ spl2_134
| ~ spl2_323 ),
inference(constrained_superposition,[],[f35652,f3510]) ).
thf(f35666,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_131
| ~ spl2_134
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f35660]) ).
thf(f35671,plain,
( spl2_469
| ~ spl2_131
| ~ spl2_134
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f35666,f18034,f3509,f3445,f25120]) ).
thf(f35735,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_22
| ~ spl2_323 ),
inference(constrained_superposition,[],[f18035,f235]) ).
thf(f35740,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f35735]) ).
thf(f35742,plain,
( spl2_58
| ~ spl2_22
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f35740,f18034,f234,f901]) ).
thf(f35799,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_113
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f35181,f2860]) ).
thf(f35803,plain,
( ~ spl2_50
| spl2_113
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f35799,f12088,f2859,f541]) ).
thf(f35968,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_131
| ~ spl2_320 ),
inference(constrained_superposition,[],[f18019,f3446]) ).
thf(f35973,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_131
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f35968]) ).
thf(f35980,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_131
| ~ spl2_156
| ~ spl2_320 ),
inference(forward_subsumption_resolution,[],[f35973,f4108]) ).
thf(f35981,plain,
( spl2_157
| ~ spl2_131
| ~ spl2_156
| ~ spl2_320 ),
inference(avatar_split_clause,[],[f35980,f18018,f4093,f3445,f4096]) ).
thf(f36024,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_142
| ~ spl2_323
| ~ spl2_367 ),
inference(constrained_superposition,[],[f35653,f19068]) ).
thf(f36026,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_142
| ~ spl2_323
| ~ spl2_384 ),
inference(constrained_superposition,[],[f35653,f19933]) ).
thf(f36032,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_142
| ~ spl2_323
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f36026]) ).
thf(f36035,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_142
| ~ spl2_323
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f36024]) ).
thf(f36038,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_142
| ~ spl2_323
| ~ spl2_384 ),
inference(constrained_superposition,[],[f36032,f3721]) ).
thf(f36047,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_142
| ~ spl2_323
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f36038]) ).
thf(f36052,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_142
| ~ spl2_323
| ~ spl2_384 ),
inference(forward_subsumption_resolution,[],[f36047,f19933]) ).
thf(f36054,plain,
( $false
| ~ spl2_142
| ~ spl2_323
| ~ spl2_384
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f36052,f21472]) ).
thf(f36055,plain,
( ~ spl2_142
| ~ spl2_323
| ~ spl2_384
| ~ spl2_450 ),
inference(avatar_contradiction_clause,[],[f36054]) ).
thf(f36058,plain,
( spl2_370
| spl2_384
| ~ spl2_41
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f35624,f5720,f499,f19932,f19078]) ).
thf(f36061,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_350
| ~ spl2_408 ),
inference(constrained_superposition,[],[f20615,f18695]) ).
thf(f36063,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_350 ),
inference(constrained_superposition,[],[f29,f18695]) ).
thf(f36065,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f36063]) ).
thf(f36067,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_350
| ~ spl2_408 ),
inference(trivial_inequality_removal,[],[f36061]) ).
thf(f36069,plain,
( $false
| ~ spl2_156
| ~ spl2_350
| ~ spl2_408 ),
inference(forward_subsumption_resolution,[],[f36067,f4108]) ).
thf(f36070,plain,
( ~ spl2_156
| ~ spl2_350
| ~ spl2_408 ),
inference(avatar_contradiction_clause,[],[f36069]) ).
thf(f36078,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_370 ),
inference(constrained_superposition,[],[f19079,f181]) ).
thf(f36080,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_370 ),
inference(constrained_superposition,[],[f19079,f90]) ).
thf(f36086,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f36078]) ).
thf(f36087,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_370 ),
inference(trivial_inequality_removal,[],[f36080]) ).
thf(f36090,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_142
| ~ spl2_323
| ~ spl2_367 ),
inference(constrained_superposition,[],[f36035,f3721]) ).
thf(f36101,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_142
| ~ spl2_323
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f36090]) ).
thf(f36104,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_142
| ~ spl2_323
| ~ spl2_367
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f36101,f21472]) ).
thf(f36107,plain,
( $false
| ~ spl2_142
| ~ spl2_323
| ~ spl2_367
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f36104,f19068]) ).
thf(f36108,plain,
( ~ spl2_142
| ~ spl2_323
| ~ spl2_367
| ~ spl2_450 ),
inference(avatar_contradiction_clause,[],[f36107]) ).
thf(f36110,plain,
( spl2_449
| ~ spl2_399
| ~ spl2_97
| ~ spl2_450 ),
inference(avatar_split_clause,[],[f35454,f21471,f2315,f20245,f21463]) ).
thf(f36112,plain,
( ~ spl2_8
| spl2_384
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f36087,f19078,f19932,f103]) ).
thf(f36113,plain,
( ~ spl2_8
| spl2_425
| ~ spl2_410 ),
inference(avatar_split_clause,[],[f35638,f20641,f20862,f103]) ).
thf(f36115,plain,
( spl2_408
| ~ spl2_399
| ~ spl2_450
| ~ spl2_468 ),
inference(avatar_split_clause,[],[f35453,f25114,f21471,f20245,f20614]) ).
thf(f36117,plain,
( spl2_142
| ~ spl2_19
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f35582,f5720,f212,f3720]) ).
thf(f36118,plain,
( spl2_8
| ~ spl2_399
| spl2_449
| ~ spl2_450 ),
inference(avatar_split_clause,[],[f35452,f21471,f21463,f20245,f103]) ).
thf(f36119,plain,
( ~ spl2_8
| spl2_22
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f35484,f212,f234,f103]) ).
thf(f36121,plain,
( ~ spl2_127
| spl2_142
| ~ spl2_484 ),
inference(avatar_split_clause,[],[f35232,f28406,f3720,f3425]) ).
thf(f36123,plain,
( ~ spl2_16
| ~ spl2_127
| spl2_142
| ~ spl2_486 ),
inference(avatar_split_clause,[],[f34923,f28978,f3720,f3425,f202]) ).
thf(f36124,plain,
( spl2_22
| spl2_19
| ~ spl2_18
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f35619,f499,f209,f212,f234]) ).
thf(f36156,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f29,f235]) ).
thf(f36157,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f36156]) ).
thf(f36169,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_384 ),
inference(constrained_superposition,[],[f73,f19933]) ).
thf(f36170,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_384 ),
inference(constrained_superposition,[],[f29,f19933]) ).
thf(f36171,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f36170]) ).
thf(f36172,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f36169]) ).
thf(f36203,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f29,f20863]) ).
thf(f36204,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f36203]) ).
thf(f36215,definition,
( spl2_494
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_494])],[avatar_definition]) ).
thf(f36216,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_494 ),
inference(avatar_component_clause,[],[f36215]) ).
thf(f36303,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_327
| ~ spl2_350 ),
inference(constrained_superposition,[],[f18233,f18695]) ).
thf(f36310,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_327
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f36303]) ).
thf(f36317,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_156
| ~ spl2_327
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f36310,f4108]) ).
thf(f36318,plain,
( spl2_157
| ~ spl2_156
| ~ spl2_327
| ~ spl2_350 ),
inference(avatar_split_clause,[],[f36317,f18694,f18232,f4093,f4096]) ).
thf(f36320,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f35432,f48]) ).
thf(f36323,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f35432,f180]) ).
thf(f36325,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f35432,f1974]) ).
thf(f36326,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f36323]) ).
thf(f36329,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f36325]) ).
thf(f36332,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_190 ),
inference(duplicate_literal_removal,[],[f36320]) ).
thf(f36333,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f36332]) ).
thf(f36335,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_346
| ~ spl2_384 ),
inference(constrained_superposition,[],[f36171,f18617]) ).
thf(f36336,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_350
| ~ spl2_384 ),
inference(constrained_superposition,[],[f36171,f18695]) ).
thf(f36339,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_384 ),
inference(constrained_superposition,[],[f36171,f49]) ).
thf(f36344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_346
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f36335]) ).
thf(f36347,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f36339]) ).
thf(f36348,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_350
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f36336]) ).
thf(f36350,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_346
| ~ spl2_384
| ~ spl2_452 ),
inference(forward_subsumption_resolution,[],[f36344,f21480]) ).
thf(f36356,definition,
( spl2_495
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_495])],[avatar_definition]) ).
thf(f36357,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_495 ),
inference(avatar_component_clause,[],[f36356]) ).
thf(f36358,plain,
( spl2_142
| spl2_495
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f36326,f5720,f36356,f3720]) ).
thf(f36359,plain,
( spl2_18
| spl2_319
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f35656,f18034,f17999,f209]) ).
thf(f36360,plain,
( ~ spl2_18
| spl2_367
| ~ spl2_370 ),
inference(avatar_split_clause,[],[f36086,f19078,f19067,f209]) ).
thf(f36361,plain,
( spl2_377
| spl2_465
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f36329,f5720,f24304,f19401]) ).
thf(f36414,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_495 ),
inference(constrained_superposition,[],[f36357,f1974]) ).
thf(f36415,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_495 ),
inference(trivial_inequality_removal,[],[f36414]) ).
thf(f36452,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_346
| ~ spl2_384
| ~ spl2_411
| ~ spl2_452 ),
inference(constrained_superposition,[],[f36350,f20645]) ).
thf(f36453,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_346
| ~ spl2_384
| ~ spl2_425
| ~ spl2_452 ),
inference(constrained_superposition,[],[f36350,f20863]) ).
thf(f36460,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_346
| ~ spl2_384
| ~ spl2_411
| ~ spl2_452 ),
inference(trivial_inequality_removal,[],[f36452]) ).
thf(f36462,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_346
| ~ spl2_384
| ~ spl2_425
| ~ spl2_452 ),
inference(trivial_inequality_removal,[],[f36453]) ).
thf(f36466,plain,
( spl2_107
| ~ spl2_346
| ~ spl2_384
| ~ spl2_411
| ~ spl2_452 ),
inference(avatar_split_clause,[],[f36460,f21479,f20644,f19932,f18616,f2760]) ).
thf(f36468,plain,
( spl2_75
| ~ spl2_346
| ~ spl2_384
| ~ spl2_425
| ~ spl2_452 ),
inference(avatar_split_clause,[],[f36462,f21479,f20862,f19932,f18616,f1287]) ).
thf(f36472,definition,
( spl2_496
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_496])],[avatar_definition]) ).
thf(f36473,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_496 ),
inference(avatar_component_clause,[],[f36472]) ).
thf(f36674,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_344
| ~ spl2_425 ),
inference(constrained_superposition,[],[f36204,f18610]) ).
thf(f36675,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_411
| ~ spl2_425 ),
inference(constrained_superposition,[],[f36204,f20645]) ).
thf(f36685,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_411
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f36675]) ).
thf(f36686,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_344
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f36674]) ).
thf(f36688,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_31
| ~ spl2_411
| ~ spl2_425 ),
inference(forward_subsumption_resolution,[],[f36685,f306]) ).
thf(f36689,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_344
| ~ spl2_425
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f36686,f21472]) ).
thf(f36690,plain,
( spl2_93
| ~ spl2_31
| ~ spl2_411
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f36688,f20862,f20644,f305,f2277]) ).
thf(f36721,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_344
| ~ spl2_350
| ~ spl2_425
| ~ spl2_450 ),
inference(constrained_superposition,[],[f36689,f18695]) ).
thf(f36722,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_344
| ~ spl2_384
| ~ spl2_425
| ~ spl2_450 ),
inference(constrained_superposition,[],[f36689,f19933]) ).
thf(f36732,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_344
| ~ spl2_350
| ~ spl2_425
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f36721]) ).
thf(f36733,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_344
| ~ spl2_384
| ~ spl2_425
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f36722]) ).
thf(f36735,plain,
( spl2_352
| ~ spl2_344
| ~ spl2_350
| ~ spl2_425
| ~ spl2_450 ),
inference(avatar_split_clause,[],[f36732,f21471,f20862,f18694,f18609,f18705]) ).
thf(f36736,plain,
( spl2_75
| ~ spl2_344
| ~ spl2_384
| ~ spl2_425
| ~ spl2_450 ),
inference(avatar_split_clause,[],[f36733,f21471,f20862,f19932,f18609,f1287]) ).
thf(f36840,definition,
( spl2_500
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_500])],[avatar_definition]) ).
thf(f36841,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_500 ),
inference(avatar_component_clause,[],[f36840]) ).
thf(f36845,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_190
| ~ spl2_345 ),
inference(constrained_superposition,[],[f35432,f18613]) ).
thf(f36847,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f195,f18613]) ).
thf(f36871,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_190
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f36845]) ).
thf(f36874,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 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f36847]) ).
thf(f36883,plain,
( spl2_441
| ~ spl2_190
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f36871,f18612,f5720,f21409]) ).
thf(f36884,plain,
( spl2_142
| spl2_490
| ~ spl2_440
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f36874,f18612,f21403,f30533,f3720]) ).
thf(f36885,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_345
| ~ spl2_490 ),
inference(constrained_superposition,[],[f30534,f18613]) ).
thf(f36896,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_345
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f36885]) ).
thf(f36899,plain,
( ~ spl2_143
| ~ spl2_345
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f36896,f30533,f18612,f3723]) ).
thf(f36918,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f195,f18620]) ).
thf(f36935,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f36918]) ).
thf(f36953,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_492 ),
inference(avatar_component_clause,[],[f35560]) ).
thf(f36954,plain,
( spl2_482
| spl2_492
| ~ spl2_143
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f36935,f18619,f3723,f35560,f27061]) ).
thf(f36955,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_58
| ~ spl2_492 ),
inference(constrained_superposition,[],[f902,f36953]) ).
thf(f36961,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_22
| ~ spl2_492 ),
inference(constrained_superposition,[],[f36157,f36953]) ).
thf(f36969,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f36961]) ).
thf(f36971,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_58
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f36955]) ).
thf(f36987,plain,
( spl2_491
| spl2_399
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f36333,f5720,f20245,f32961]) ).
thf(f36989,plain,
( spl2_423
| ~ spl2_452
| ~ spl2_58
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f36971,f35560,f901,f21479,f20795]) ).
thf(f36990,plain,
( spl2_132
| ~ spl2_35
| ~ spl2_350
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f36348,f19932,f18694,f358,f3469]) ).
thf(f36995,plain,
( ~ spl2_452
| spl2_496
| ~ spl2_22
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f36969,f35560,f234,f36472,f21479]) ).
thf(f36998,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f29,f4108]) ).
thf(f36999,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f36998]) ).
thf(f37106,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_422 ),
inference(constrained_superposition,[],[f515,f20888]) ).
thf(f37109,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_44
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f37106]) ).
thf(f37110,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_44
| ~ spl2_422
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f37109,f30484]) ).
thf(f37111,plain,
( spl2_435
| ~ spl2_44
| ~ spl2_422
| spl2_425 ),
inference(avatar_split_clause,[],[f37110,f20862,f20792,f514,f21114]) ).
thf(f37168,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_126 ),
inference(constrained_superposition,[],[f3423,f89]) ).
thf(f37176,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f37168]) ).
thf(f37193,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_500 ),
inference(constrained_superposition,[],[f36841,f1974]) ).
thf(f37199,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_500 ),
inference(trivial_inequality_removal,[],[f37193]) ).
thf(f37203,plain,
( ~ spl2_112
| spl2_421
| ~ spl2_500 ),
inference(avatar_split_clause,[],[f37199,f36840,f20734,f2855]) ).
thf(f37213,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_473 ),
inference(constrained_superposition,[],[f26135,f90]) ).
thf(f37220,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_473 ),
inference(trivial_inequality_removal,[],[f37213]) ).
thf(f37224,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_425
| ~ spl2_473 ),
inference(forward_subsumption_resolution,[],[f37220,f30484]) ).
thf(f37225,plain,
( $false
| ~ spl2_150
| spl2_425
| ~ spl2_473 ),
inference(forward_subsumption_resolution,[],[f37224,f26482]) ).
thf(f37226,plain,
( ~ spl2_150
| spl2_425
| ~ spl2_473 ),
inference(avatar_contradiction_clause,[],[f37225]) ).
thf(f37260,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_496 ),
inference(constrained_superposition,[],[f36473,f49]) ).
thf(f37263,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_496 ),
inference(trivial_inequality_removal,[],[f37260]) ).
thf(f37270,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_409
| ~ spl2_496 ),
inference(forward_subsumption_resolution,[],[f37263,f22140]) ).
thf(f37273,plain,
( spl2_63
| spl2_409
| ~ spl2_496 ),
inference(avatar_split_clause,[],[f37270,f36472,f20617,f1001]) ).
thf(f37364,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_116
| ~ spl2_156 ),
inference(constrained_superposition,[],[f36999,f2875]) ).
thf(f37366,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f36999,f49]) ).
thf(f37370,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f37366]) ).
thf(f37372,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_116
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f37364]) ).
thf(f37375,plain,
( spl2_119
| ~ spl2_116
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f37372,f4093,f2874,f2923]) ).
thf(f37427,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_350
| ~ spl2_450 ),
inference(constrained_superposition,[],[f35451,f18695]) ).
thf(f37431,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_450 ),
inference(constrained_superposition,[],[f35451,f49]) ).
thf(f37434,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_350
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f37427]) ).
thf(f37437,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f37431]) ).
thf(f37443,definition,
( spl2_501
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_501])],[avatar_definition]) ).
thf(f37444,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_501 ),
inference(avatar_component_clause,[],[f37443]) ).
thf(f37550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_346
| ~ spl2_350 ),
inference(constrained_superposition,[],[f36065,f18617]) ).
thf(f37551,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_350
| ~ spl2_384 ),
inference(constrained_superposition,[],[f36065,f19933]) ).
thf(f37556,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_350
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f37551]) ).
thf(f37561,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_346
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f37550]) ).
thf(f37563,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_116
| ~ spl2_350
| ~ spl2_384 ),
inference(forward_subsumption_resolution,[],[f37556,f2875]) ).
thf(f37570,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_421 ),
inference(avatar_component_clause,[],[f20734]) ).
thf(f37572,definition,
( spl2_504
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_504])],[avatar_definition]) ).
thf(f37573,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_504 ),
inference(avatar_component_clause,[],[f37572]) ).
thf(f37574,plain,
( ~ spl2_421
| spl2_504
| ~ spl2_346
| ~ spl2_350 ),
inference(avatar_split_clause,[],[f37561,f18694,f18616,f37572,f20734]) ).
thf(f37585,definition,
( spl2_506
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_506])],[avatar_definition]) ).
thf(f37586,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_506 ),
inference(avatar_component_clause,[],[f37585]) ).
thf(f37593,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_344
| ~ spl2_365 ),
inference(constrained_superposition,[],[f18610,f18834]) ).
thf(f37630,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_365 ),
inference(constrained_superposition,[],[f181,f18834]) ).
thf(f37709,plain,
( spl2_377
| ~ spl2_344
| ~ spl2_365 ),
inference(avatar_split_clause,[],[f37593,f18833,f18609,f19401]) ).
thf(f37714,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_26
| ~ spl2_365 ),
inference(forward_subsumption_resolution,[],[f37630,f278]) ).
thf(f37726,plain,
( $false
| spl2_26
| spl2_71
| ~ spl2_365 ),
inference(forward_subsumption_resolution,[],[f37714,f1191]) ).
thf(f37727,plain,
( spl2_26
| spl2_71
| ~ spl2_365 ),
inference(avatar_contradiction_clause,[],[f37726]) ).
thf(f37848,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110
| ~ spl2_506 ),
inference(constrained_superposition,[],[f2850,f37586]) ).
thf(f37873,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110
| ~ spl2_506 ),
inference(trivial_inequality_removal,[],[f37848]) ).
thf(f37881,plain,
( ~ spl2_440
| ~ spl2_110
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f37873,f37585,f2849,f21403]) ).
thf(f37889,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_116
| ~ spl2_350
| ~ spl2_384 ),
inference(constrained_superposition,[],[f37563,f2875]) ).
thf(f37894,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_116
| ~ spl2_350
| ~ spl2_384 ),
inference(duplicate_literal_removal,[],[f37889]) ).
thf(f37895,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_116
| ~ spl2_350
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f37894]) ).
thf(f37901,plain,
( spl2_79
| ~ spl2_116
| ~ spl2_350
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f37895,f19932,f18694,f2874,f1474]) ).
thf(f37909,definition,
( spl2_510
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_510])],[avatar_definition]) ).
thf(f37910,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_510 ),
inference(avatar_component_clause,[],[f37909]) ).
thf(f37913,definition,
( spl2_511
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_511])],[avatar_definition]) ).
thf(f37914,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_511 ),
inference(avatar_component_clause,[],[f37913]) ).
thf(f37920,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_116 ),
inference(avatar_component_clause,[],[f2874]) ).
thf(f37922,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_35
| ~ spl2_126 ),
inference(forward_subsumption_resolution,[],[f37176,f3800]) ).
thf(f37923,plain,
( ~ spl2_16
| spl2_35
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f37922,f3422,f358,f202]) ).
thf(f37930,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_16
| ~ spl2_321 ),
inference(constrained_superposition,[],[f18025,f7931]) ).
thf(f37942,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_16
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f37930]) ).
thf(f37949,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_116 ),
inference(constrained_superposition,[],[f37920,f50]) ).
thf(f37952,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f37949]) ).
thf(f37954,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(forward_subsumption_resolution,[],[f37952,f39]) ).
thf(f37955,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_116
| ~ spl2_203 ),
inference(constrained_superposition,[],[f6527,f37954]) ).
thf(f37958,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_116 ),
inference(constrained_superposition,[],[f1313,f37954]) ).
thf(f37959,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| spl2_116 ),
inference(constrained_superposition,[],[f56,f37954]) ).
thf(f37970,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f37959]) ).
thf(f37973,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f37958]) ).
thf(f37974,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_116
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f37955]) ).
thf(f37989,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_350
| ~ spl2_367 ),
inference(constrained_superposition,[],[f36065,f19068]) ).
thf(f37991,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_350
| ~ spl2_367
| ~ spl2_450 ),
inference(constrained_superposition,[],[f37434,f19068]) ).
thf(f37995,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_350
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f37989]) ).
thf(f37999,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_350
| ~ spl2_367
| ~ spl2_450 ),
inference(trivial_inequality_removal,[],[f37991]) ).
thf(f38002,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_123 ),
inference(avatar_component_clause,[],[f3175]) ).
thf(f38004,definition,
( spl2_513
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_513])],[avatar_definition]) ).
thf(f38005,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_513 ),
inference(avatar_component_clause,[],[f38004]) ).
thf(f38006,plain,
( ~ spl2_123
| spl2_513
| ~ spl2_350
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f37995,f19067,f18694,f38004,f3175]) ).
thf(f38008,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_31
| ~ spl2_350
| ~ spl2_367
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f37999,f306]) ).
thf(f38011,plain,
( spl2_249
| ~ spl2_31
| ~ spl2_350
| ~ spl2_367
| ~ spl2_450 ),
inference(avatar_split_clause,[],[f38008,f21471,f19067,f18694,f305,f12088]) ).
thf(f38020,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112 ),
inference(avatar_component_clause,[],[f2855]) ).
thf(f38026,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_30
| ~ spl2_112 ),
inference(constrained_superposition,[],[f291,f38020]) ).
thf(f38027,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_51
| ~ spl2_112 ),
inference(constrained_superposition,[],[f584,f38020]) ).
thf(f38043,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_51
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f38027]) ).
thf(f38044,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_30
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f38026]) ).
thf(f38076,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f1548,f49]) ).
thf(f38081,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f38076]) ).
thf(f38087,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_200
| ~ spl2_354 ),
inference(constrained_superposition,[],[f6092,f18762]) ).
thf(f38105,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_200
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f38087]) ).
thf(f38135,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_172
| ~ spl2_377 ),
inference(constrained_superposition,[],[f4625,f19402]) ).
thf(f38146,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_172
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f38135]) ).
thf(f38149,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_172
| ~ spl2_377
| ~ spl2_450 ),
inference(forward_subsumption_resolution,[],[f38146,f21472]) ).
thf(f38150,plain,
( spl2_408
| ~ spl2_172
| ~ spl2_377
| ~ spl2_450 ),
inference(avatar_split_clause,[],[f38149,f21471,f19401,f4624,f20614]) ).
thf(f38167,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_494 ),
inference(constrained_superposition,[],[f217,f36216]) ).
thf(f38181,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f38167]) ).
thf(f38191,plain,
( ~ spl2_439
| ~ spl2_20
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f38181,f36215,f216,f21379]) ).
thf(f38216,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_50
| ~ spl2_93 ),
inference(constrained_superposition,[],[f2278,f542]) ).
thf(f38218,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f2278,f49]) ).
thf(f38222,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f38218]) ).
thf(f38225,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_50
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f38216]) ).
thf(f38226,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_18
| ~ spl2_93 ),
inference(forward_subsumption_resolution,[],[f38222,f210]) ).
thf(f38228,plain,
( spl2_63
| ~ spl2_50
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f38225,f2277,f541,f1001]) ).
thf(f38229,plain,
( spl2_63
| spl2_18
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f38226,f2277,f209,f1001]) ).
thf(f38231,plain,
( ~ spl2_154
| ~ spl2_30
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f38044,f2855,f290,f4086]) ).
thf(f38232,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_190
| ~ spl2_200
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f38105,f18699]) ).
thf(f38235,plain,
( ~ spl2_143
| ~ spl2_190
| ~ spl2_200
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f38232,f18761,f6091,f5720,f3723]) ).
thf(f38270,plain,
( spl2_292
| spl2_97
| spl2_116 ),
inference(avatar_split_clause,[],[f37973,f2874,f2315,f16235]) ).
thf(f38271,plain,
( ~ spl2_18
| spl2_20
| ~ spl2_16
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f37942,f18024,f202,f216,f209]) ).
thf(f38272,plain,
( ~ spl2_97
| spl2_18
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f38081,f1547,f209,f2315]) ).
thf(f38275,plain,
( spl2_190
| spl2_140
| ~ spl2_97
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f36347,f19932,f2315,f3537,f5720]) ).
thf(f38276,plain,
( spl2_501
| spl2_190
| ~ spl2_450 ),
inference(avatar_split_clause,[],[f37437,f21471,f5720,f37443]) ).
thf(f38298,plain,
( spl2_432
| spl2_113
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f37370,f4093,f2859,f21099]) ).
thf(f38299,plain,
( spl2_190
| spl2_42
| ~ spl2_39
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f36172,f19932,f492,f504,f5720]) ).
thf(f38303,plain,
( spl2_39
| ~ spl2_113
| spl2_147
| spl2_116 ),
inference(avatar_split_clause,[],[f37970,f2874,f3796,f2859,f492]) ).
thf(f38306,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_51
| ~ spl2_112
| spl2_116 ),
inference(forward_subsumption_resolution,[],[f38043,f37954]) ).
thf(f38308,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_495 ),
inference(forward_subsumption_resolution,[],[f36415,f38020]) ).
thf(f38309,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_116
| spl2_123
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f37974,f38002]) ).
thf(f38314,plain,
( ~ spl2_113
| ~ spl2_51
| ~ spl2_112
| spl2_116 ),
inference(avatar_split_clause,[],[f38306,f2874,f2855,f583,f2859]) ).
thf(f38315,plain,
( ~ spl2_113
| spl2_377
| ~ spl2_112
| ~ spl2_495 ),
inference(avatar_split_clause,[],[f38308,f36356,f2855,f19401,f2859]) ).
thf(f38316,plain,
( ~ spl2_113
| spl2_116
| spl2_123
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f38309,f6526,f3175,f2874,f2859]) ).
thf(f38364,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_113 ),
inference(constrained_superposition,[],[f28,f2917]) ).
thf(f38374,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 @ sK1 ) ) )
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f38364]) ).
thf(f38411,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_131
| ~ spl2_173 ),
inference(constrained_superposition,[],[f4631,f3446]) ).
thf(f38416,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_131
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f38411]) ).
thf(f38422,plain,
( $false
| ~ spl2_131
| ~ spl2_156
| ~ spl2_173 ),
inference(forward_subsumption_resolution,[],[f38416,f4108]) ).
thf(f38423,plain,
( ~ spl2_131
| ~ spl2_156
| ~ spl2_173 ),
inference(avatar_contradiction_clause,[],[f38422]) ).
thf(f38434,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_329 ),
inference(constrained_superposition,[],[f2832,f18241]) ).
thf(f38453,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f38434]) ).
thf(f38463,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_150
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f38453,f26482]) ).
thf(f38466,plain,
( spl2_377
| spl2_151
| ~ spl2_150
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f38463,f18240,f3813,f3816,f19401]) ).
thf(f38568,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_156
| ~ spl2_377 ),
inference(constrained_superposition,[],[f36999,f19402]) ).
thf(f38569,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_377 ),
inference(constrained_superposition,[],[f73,f19402]) ).
thf(f38571,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f38569]) ).
thf(f38572,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_156
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f38568]) ).
thf(f38617,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_47
| ~ spl2_131 ),
inference(constrained_superposition,[],[f527,f3446]) ).
thf(f38627,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_47
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f38617]) ).
thf(f38631,plain,
( spl2_265
| ~ spl2_47
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f38627,f3445,f526,f13706]) ).
thf(f38706,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_367
| ~ spl2_384 ),
inference(constrained_superposition,[],[f36171,f19068]) ).
thf(f38709,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_367
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f38706]) ).
thf(f38763,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_67
| ~ spl2_123 ),
inference(constrained_superposition,[],[f1083,f3176]) ).
thf(f38771,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_67
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f38763]) ).
thf(f38775,plain,
( $false
| ~ spl2_67
| ~ spl2_123
| ~ spl2_131 ),
inference(forward_subsumption_resolution,[],[f38771,f3446]) ).
thf(f38776,plain,
( ~ spl2_67
| ~ spl2_123
| ~ spl2_131 ),
inference(avatar_contradiction_clause,[],[f38775]) ).
thf(f38870,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_93
| ~ spl2_131 ),
inference(constrained_superposition,[],[f2278,f3446]) ).
thf(f38881,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_93
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f38870]) ).
thf(f38884,plain,
( spl2_352
| ~ spl2_93
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f38881,f3445,f2277,f18705]) ).
thf(f38889,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| spl2_8
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f35370,f104]) ).
thf(f38890,plain,
( ~ spl2_45
| spl2_47
| spl2_8
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f38889,f305,f103,f526,f519]) ).
thf(f38907,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_112 ),
inference(constrained_superposition,[],[f170,f38020]) ).
thf(f38920,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f38907]) ).
thf(f38928,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_112
| spl2_116 ),
inference(forward_subsumption_resolution,[],[f38920,f37954]) ).
thf(f38930,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_22
| ~ spl2_112
| spl2_116 ),
inference(forward_subsumption_resolution,[],[f38928,f6766]) ).
thf(f38932,plain,
( spl2_110
| spl2_22
| ~ spl2_112
| spl2_116 ),
inference(avatar_split_clause,[],[f38930,f2874,f2855,f234,f2849]) ).
thf(f38933,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_93
| ~ spl2_142 ),
inference(constrained_superposition,[],[f2278,f3721]) ).
thf(f38939,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_93
| ~ spl2_142 ),
inference(trivial_inequality_removal,[],[f38933]) ).
thf(f38941,plain,
( spl2_407
| ~ spl2_93
| ~ spl2_142 ),
inference(avatar_split_clause,[],[f38939,f3720,f2277,f20609]) ).
thf(f38993,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_452 ),
inference(constrained_superposition,[],[f73,f21480]) ).
thf(f38996,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_452 ),
inference(trivial_inequality_removal,[],[f38993]) ).
thf(f39077,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_47
| ~ spl2_492 ),
inference(constrained_superposition,[],[f527,f36953]) ).
thf(f39085,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_47
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f39077]) ).
thf(f39137,plain,
( ( $true != $true )
| ~ spl2_82
| ~ spl2_492 ),
inference(constrained_superposition,[],[f1587,f36953]) ).
thf(f39145,plain,
( $false
| ~ spl2_82
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f39137]) ).
thf(f39146,plain,
( ~ spl2_82
| ~ spl2_492 ),
inference(avatar_contradiction_clause,[],[f39145]) ).
thf(f39149,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl2_8
| ~ spl2_452 ),
inference(forward_subsumption_resolution,[],[f38996,f104]) ).
thf(f39150,plain,
( ~ spl2_422
| spl2_435
| spl2_8
| ~ spl2_452 ),
inference(avatar_split_clause,[],[f39149,f21479,f103,f21114,f20792]) ).
thf(f39151,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_47
| ~ spl2_71 ),
inference(constrained_superposition,[],[f527,f5703]) ).
thf(f39155,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_71 ),
inference(constrained_superposition,[],[f29,f5703]) ).
thf(f39156,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_47
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f39151]) ).
thf(f39160,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_71 ),
inference(duplicate_literal_removal,[],[f39155]) ).
thf(f39161,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f39160]) ).
thf(f39162,plain,
( spl2_153
| ~ spl2_47
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f39156,f1190,f526,f4080]) ).
thf(f39164,plain,
( spl2_318
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f39161,f1190,f17987]) ).
thf(f39177,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_156 ),
inference(constrained_superposition,[],[f36999,f3176]) ).
thf(f39179,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f29,f3176]) ).
thf(f39180,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f39179]) ).
thf(f39181,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_123
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f39177]) ).
thf(f39353,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_452
| ~ spl2_492 ),
inference(constrained_superposition,[],[f39085,f21480]) ).
thf(f39358,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_452
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f39353]) ).
thf(f39359,plain,
( $false
| ~ spl2_39
| ~ spl2_47
| ~ spl2_452
| ~ spl2_492 ),
inference(forward_subsumption_resolution,[],[f39358,f501]) ).
thf(f39360,plain,
( ~ spl2_39
| ~ spl2_47
| ~ spl2_452
| ~ spl2_492 ),
inference(avatar_contradiction_clause,[],[f39359]) ).
thf(f39379,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f3425]) ).
thf(f39394,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_127 ),
inference(constrained_superposition,[],[f217,f39379]) ).
thf(f39400,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f39394]) ).
thf(f39416,plain,
( $false
| ~ spl2_20
| spl2_116
| ~ spl2_127 ),
inference(forward_subsumption_resolution,[],[f39400,f37954]) ).
thf(f39417,plain,
( ~ spl2_20
| spl2_116
| ~ spl2_127 ),
inference(avatar_contradiction_clause,[],[f39416]) ).
thf(f39524,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_406 ),
inference(constrained_superposition,[],[f28,f20607]) ).
thf(f39537,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f39524]) ).
thf(f39577,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_142
| ~ spl2_407 ),
inference(constrained_superposition,[],[f20610,f3721]) ).
thf(f39581,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_142
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f39577]) ).
thf(f39583,plain,
( $false
| ~ spl2_31
| ~ spl2_142
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f39581,f306]) ).
thf(f39584,plain,
( ~ spl2_31
| ~ spl2_142
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f39583]) ).
thf(f39587,plain,
( spl2_93
| ~ spl2_31
| ~ spl2_367
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f38709,f19932,f19067,f305,f2277]) ).
thf(f39617,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_116 ),
inference(constrained_superposition,[],[f37920,f50]) ).
thf(f39619,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f39617]) ).
thf(f39621,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(forward_subsumption_resolution,[],[f39619,f39]) ).
thf(f39756,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_344 ),
inference(constrained_superposition,[],[f73,f18610]) ).
thf(f39758,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f39756]) ).
thf(f39811,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f16236,f180]) ).
thf(f39819,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f39811]) ).
thf(f39888,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_513 ),
inference(constrained_superposition,[],[f38005,f3176]) ).
thf(f39899,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_513 ),
inference(duplicate_literal_removal,[],[f39888]) ).
thf(f39900,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_123
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f39899]) ).
thf(f39904,plain,
( spl2_82
| ~ spl2_123
| ~ spl2_513 ),
inference(avatar_split_clause,[],[f39900,f38004,f3175,f1586]) ).
thf(f39950,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_511 ),
inference(constrained_superposition,[],[f37914,f48]) ).
thf(f39952,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_511 ),
inference(constrained_superposition,[],[f37914,f89]) ).
thf(f39961,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f39950]) ).
thf(f39963,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_511 ),
inference(trivial_inequality_removal,[],[f39952]) ).
thf(f39967,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_113
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f39961,f2917]) ).
thf(f39968,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_452
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f39963,f30485]) ).
thf(f39970,plain,
( $false
| ~ spl2_113
| spl2_422
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f39967,f20793]) ).
thf(f39971,plain,
( ~ spl2_113
| spl2_422
| ~ spl2_511 ),
inference(avatar_contradiction_clause,[],[f39970]) ).
thf(f39972,plain,
( $false
| spl2_116
| spl2_452
| ~ spl2_511 ),
inference(forward_subsumption_resolution,[],[f39968,f39621]) ).
thf(f39973,plain,
( spl2_116
| spl2_452
| ~ spl2_511 ),
inference(avatar_contradiction_clause,[],[f39972]) ).
thf(f40015,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_417 ),
inference(constrained_superposition,[],[f20720,f180]) ).
thf(f40018,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_417 ),
inference(trivial_inequality_removal,[],[f40015]) ).
thf(f40139,definition,
( spl2_520
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_520])],[avatar_definition]) ).
thf(f40140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_520 ),
inference(avatar_component_clause,[],[f40139]) ).
thf(f40167,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_113 ),
inference(constrained_superposition,[],[f38374,f180]) ).
thf(f40176,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f40167]) ).
thf(f40538,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_131
| ~ spl2_316 ),
inference(constrained_superposition,[],[f17971,f3446]) ).
thf(f40544,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_131
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f40538]) ).
thf(f40551,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_131
| ~ spl2_156
| ~ spl2_316 ),
inference(forward_subsumption_resolution,[],[f40544,f4108]) ).
thf(f40552,plain,
( spl2_148
| ~ spl2_131
| ~ spl2_156
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f40551,f17970,f4093,f3445,f3802]) ).
thf(f40560,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_406 ),
inference(constrained_superposition,[],[f39537,f1974]) ).
thf(f40565,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f40560]) ).
thf(f40611,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_123
| ~ spl2_377 ),
inference(constrained_superposition,[],[f39180,f19402]) ).
thf(f40625,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_123
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f40611]) ).
thf(f40628,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_123
| ~ spl2_142
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f40625,f3721]) ).
thf(f40631,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_142
| ~ spl2_377
| ~ spl2_384 ),
inference(constrained_superposition,[],[f40628,f19933]) ).
thf(f40641,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_142
| ~ spl2_377
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f40631]) ).
thf(f40645,plain,
( spl2_74
| ~ spl2_123
| ~ spl2_142
| ~ spl2_377
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f40641,f19932,f19401,f3720,f3175,f1283]) ).
thf(f40654,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_142 ),
inference(avatar_component_clause,[],[f3720]) ).
thf(f40656,definition,
( spl2_521
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_521])],[avatar_definition]) ).
thf(f40657,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_521 ),
inference(avatar_component_clause,[],[f40656]) ).
thf(f40658,plain,
( ~ spl2_142
| spl2_521
| ~ spl2_123
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f40625,f19401,f3175,f40656,f3720]) ).
thf(f40668,plain,
( spl2_146
| ~ spl2_34
| spl2_421
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f40565,f20606,f20734,f355,f3788]) ).
thf(f40729,definition,
( spl2_525
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_525])],[avatar_definition]) ).
thf(f40730,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_525 ),
inference(avatar_component_clause,[],[f40729]) ).
thf(f40772,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_156
| ~ spl2_421 ),
inference(constrained_superposition,[],[f39181,f20735]) ).
thf(f40782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_123
| ~ spl2_156
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f40772]) ).
thf(f40803,plain,
( ~ spl2_422
| spl2_424
| ~ spl2_123
| ~ spl2_156
| ~ spl2_421 ),
inference(avatar_split_clause,[],[f40782,f20734,f4093,f3175,f20802,f20792]) ).
thf(f40819,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_472 ),
inference(avatar_component_clause,[],[f26131]) ).
thf(f40887,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_329
| ~ spl2_525 ),
inference(constrained_superposition,[],[f40730,f18241]) ).
thf(f40888,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_525 ),
inference(constrained_superposition,[],[f40730,f89]) ).
thf(f40894,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_329
| ~ spl2_525 ),
inference(trivial_inequality_removal,[],[f40887]) ).
thf(f40900,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_525 ),
inference(trivial_inequality_removal,[],[f40888]) ).
thf(f40903,plain,
( $false
| ~ spl2_16
| ~ spl2_329
| ~ spl2_525 ),
inference(forward_subsumption_resolution,[],[f40894,f7931]) ).
thf(f40904,plain,
( ~ spl2_16
| ~ spl2_329
| ~ spl2_525 ),
inference(avatar_contradiction_clause,[],[f40903]) ).
thf(f40905,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_16
| ~ spl2_525 ),
inference(forward_subsumption_resolution,[],[f40900,f7931]) ).
thf(f40907,plain,
( $false
| ~ spl2_16
| spl2_450
| ~ spl2_525 ),
inference(forward_subsumption_resolution,[],[f40905,f25117]) ).
thf(f40908,plain,
( ~ spl2_16
| spl2_450
| ~ spl2_525 ),
inference(avatar_contradiction_clause,[],[f40907]) ).
thf(f40979,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_424
| ~ spl2_474 ),
inference(constrained_superposition,[],[f20803,f26156]) ).
thf(f40980,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_344
| ~ spl2_424 ),
inference(constrained_superposition,[],[f20803,f18610]) ).
thf(f40986,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_424
| ~ spl2_474 ),
inference(trivial_inequality_removal,[],[f40979]) ).
thf(f40993,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_344
| ~ spl2_424 ),
inference(trivial_inequality_removal,[],[f40980]) ).
thf(f40994,plain,
( $false
| ~ spl2_131
| ~ spl2_424
| ~ spl2_474 ),
inference(forward_subsumption_resolution,[],[f40986,f3446]) ).
thf(f40995,plain,
( ~ spl2_131
| ~ spl2_424
| ~ spl2_474 ),
inference(avatar_contradiction_clause,[],[f40994]) ).
thf(f41072,plain,
( ~ spl2_142
| ~ spl2_344
| ~ spl2_424 ),
inference(avatar_split_clause,[],[f40993,f20802,f18609,f3720]) ).
thf(f41105,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_116
| ~ spl2_119 ),
inference(constrained_superposition,[],[f2924,f2875]) ).
thf(f41109,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_116 ),
inference(constrained_superposition,[],[f29,f2875]) ).
thf(f41112,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_116
| ~ spl2_119 ),
inference(duplicate_literal_removal,[],[f41105]) ).
thf(f41113,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_116
| ~ spl2_119 ),
inference(trivial_inequality_removal,[],[f41112]) ).
thf(f41114,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f41109]) ).
thf(f41149,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_112 ),
inference(constrained_superposition,[],[f1349,f38020]) ).
thf(f41150,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_112 ),
inference(constrained_superposition,[],[f1313,f38020]) ).
thf(f41163,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f41149]) ).
thf(f41165,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f41150]) ).
thf(f41229,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_74
| ~ spl2_142 ),
inference(constrained_superposition,[],[f1284,f3721]) ).
thf(f41230,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_74
| ~ spl2_131 ),
inference(constrained_superposition,[],[f1284,f3446]) ).
thf(f41237,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_74
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f41230]) ).
thf(f41240,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_142 ),
inference(trivial_inequality_removal,[],[f41229]) ).
thf(f41242,plain,
( $false
| ~ spl2_74
| ~ spl2_116
| ~ spl2_131 ),
inference(forward_subsumption_resolution,[],[f41237,f2875]) ).
thf(f41243,plain,
( ~ spl2_74
| ~ spl2_116
| ~ spl2_131 ),
inference(avatar_contradiction_clause,[],[f41242]) ).
thf(f41244,plain,
( $false
| ~ spl2_74
| ~ spl2_142
| ~ spl2_384 ),
inference(forward_subsumption_resolution,[],[f41240,f19933]) ).
thf(f41245,plain,
( ~ spl2_74
| ~ spl2_142
| ~ spl2_384 ),
inference(avatar_contradiction_clause,[],[f41244]) ).
thf(f41248,plain,
( ~ spl2_39
| spl2_79
| ~ spl2_116
| ~ spl2_119 ),
inference(avatar_split_clause,[],[f41113,f2923,f2874,f1474,f492]) ).
thf(f41249,plain,
( spl2_131
| spl2_200
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f40176,f2859,f6091,f3445]) ).
thf(f41263,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_194 ),
inference(constrained_superposition,[],[f5923,f511]) ).
thf(f41265,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f41263]) ).
thf(f41269,plain,
( spl2_23
| spl2_22
| ~ spl2_18
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f41265,f5922,f209,f234,f237]) ).
thf(f41288,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| spl2_97 ),
inference(constrained_superposition,[],[f2316,f1769]) ).
thf(f41292,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| spl2_97 ),
inference(trivial_inequality_removal,[],[f41288]) ).
thf(f41406,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f431,f39379]) ).
thf(f41410,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f1313,f39379]) ).
thf(f41419,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f41410]) ).
thf(f41422,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_127 ),
inference(duplicate_literal_removal,[],[f41406]) ).
thf(f41423,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f41422]) ).
thf(f41432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_127
| spl2_134 ),
inference(forward_subsumption_resolution,[],[f41419,f26777]) ).
thf(f41433,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_123
| ~ spl2_127 ),
inference(forward_subsumption_resolution,[],[f41423,f38002]) ).
thf(f41437,plain,
( spl2_200
| ~ spl2_127
| spl2_134 ),
inference(avatar_split_clause,[],[f41432,f3509,f3425,f6091]) ).
thf(f41489,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_292
| ~ spl2_354 ),
inference(constrained_superposition,[],[f16236,f18762]) ).
thf(f41490,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f195,f18762]) ).
thf(f41493,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f98,f18762]) ).
thf(f41505,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f41490]) ).
thf(f41513,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_292
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f41489]) ).
thf(f41514,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f41493]) ).
thf(f41517,plain,
( spl2_482
| ~ spl2_143
| spl2_131
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f41505,f18761,f3445,f3723,f27061]) ).
thf(f41538,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_28
| ~ spl2_127 ),
inference(constrained_superposition,[],[f284,f39379]) ).
thf(f41548,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_28
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f41538]) ).
thf(f41549,plain,
( $false
| ~ spl2_28
| ~ spl2_112
| ~ spl2_127 ),
inference(forward_subsumption_resolution,[],[f41548,f38020]) ).
thf(f41550,plain,
( ~ spl2_28
| ~ spl2_112
| ~ spl2_127 ),
inference(avatar_contradiction_clause,[],[f41549]) ).
thf(f41661,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_123
| ~ spl2_127
| ~ spl2_354 ),
inference(constrained_superposition,[],[f41433,f18762]) ).
thf(f41668,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_123
| ~ spl2_127
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f41661]) ).
thf(f41673,plain,
( ~ spl2_143
| spl2_123
| ~ spl2_127
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f41668,f18761,f3425,f3175,f3723]) ).
thf(f41674,plain,
( spl2_113
| ~ spl2_399
| spl2_449
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f38571,f19401,f21463,f20245,f2859]) ).
thf(f41676,plain,
( spl2_35
| spl2_396
| ~ spl2_378
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f41514,f18761,f19405,f20175,f358]) ).
thf(f41678,plain,
( spl2_449
| ~ spl2_399
| spl2_409
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f39758,f18609,f20617,f20245,f21463]) ).
thf(f41683,definition,
( spl2_530
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_530])],[avatar_definition]) ).
thf(f41684,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_530 ),
inference(avatar_component_clause,[],[f41683]) ).
thf(f41776,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_19
| ~ spl2_494 ),
inference(constrained_superposition,[],[f213,f36216]) ).
thf(f41784,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_19
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f41776]) ).
thf(f41787,plain,
( ~ spl2_409
| ~ spl2_19
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f41784,f36215,f212,f20617]) ).
thf(f41802,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_143 ),
inference(constrained_superposition,[],[f3724,f23]) ).
thf(f41805,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_143 ),
inference(trivial_inequality_removal,[],[f41802]) ).
thf(f41807,plain,
( spl2_366
| spl2_367
| spl2_143 ),
inference(avatar_split_clause,[],[f41805,f3723,f19067,f19064]) ).
thf(f41811,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_367 ),
inference(constrained_superposition,[],[f73,f19068]) ).
thf(f41812,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_367 ),
inference(constrained_superposition,[],[f29,f19068]) ).
thf(f41813,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f41811]) ).
thf(f41814,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f41812]) ).
thf(f41822,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_142 ),
inference(constrained_superposition,[],[f40654,f50]) ).
thf(f41825,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_142 ),
inference(trivial_inequality_removal,[],[f41822]) ).
thf(f41827,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_117
| spl2_142 ),
inference(forward_subsumption_resolution,[],[f41825,f18539]) ).
thf(f41837,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_117
| spl2_142 ),
inference(constrained_superposition,[],[f28,f41827]) ).
thf(f41849,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_117
| spl2_142 ),
inference(trivial_inequality_removal,[],[f41837]) ).
thf(f41878,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_425 ),
inference(constrained_superposition,[],[f30484,f50]) ).
thf(f41881,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f41878]) ).
thf(f41883,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f41881,f39]) ).
thf(f41884,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_10
| spl2_425 ),
inference(constrained_superposition,[],[f131,f41883]) ).
thf(f41896,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_10
| spl2_425 ),
inference(trivial_inequality_removal,[],[f41884]) ).
thf(f41902,plain,
( ~ spl2_446
| ~ spl2_10
| spl2_425 ),
inference(avatar_split_clause,[],[f41896,f20862,f130,f21437]) ).
thf(f41946,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_396 ),
inference(constrained_superposition,[],[f20176,f90]) ).
thf(f41954,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_396 ),
inference(trivial_inequality_removal,[],[f41946]) ).
thf(f42019,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_354
| ~ spl2_482 ),
inference(constrained_superposition,[],[f27062,f18762]) ).
thf(f42028,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_354
| ~ spl2_482 ),
inference(trivial_inequality_removal,[],[f42019]) ).
thf(f42031,plain,
( $false
| ~ spl2_112
| ~ spl2_354
| ~ spl2_482 ),
inference(forward_subsumption_resolution,[],[f42028,f38020]) ).
thf(f42032,plain,
( ~ spl2_112
| ~ spl2_354
| ~ spl2_482 ),
inference(avatar_contradiction_clause,[],[f42031]) ).
thf(f42110,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_376 ),
inference(constrained_superposition,[],[f19395,f180]) ).
thf(f42114,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f42110]) ).
thf(f42195,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_465 ),
inference(constrained_superposition,[],[f24305,f180]) ).
thf(f42205,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_465 ),
inference(trivial_inequality_removal,[],[f42195]) ).
thf(f42270,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_367
| ~ spl2_501 ),
inference(constrained_superposition,[],[f37444,f19068]) ).
thf(f42282,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_367
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f42270]) ).
thf(f42287,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_31
| ~ spl2_367
| ~ spl2_501 ),
inference(forward_subsumption_resolution,[],[f42282,f306]) ).
thf(f42289,plain,
( spl2_173
| ~ spl2_31
| ~ spl2_367
| ~ spl2_501 ),
inference(avatar_split_clause,[],[f42287,f37443,f19067,f305,f4630]) ).
thf(f42290,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_45
| ~ spl2_112 ),
inference(forward_subsumption_resolution,[],[f41163,f528]) ).
thf(f42293,plain,
( ~ spl2_18
| ~ spl2_16
| spl2_492
| ~ spl2_417 ),
inference(avatar_split_clause,[],[f40018,f20719,f35560,f202,f209]) ).
thf(f42301,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_142
| ~ spl2_465 ),
inference(forward_subsumption_resolution,[],[f42205,f40654]) ).
thf(f42302,plain,
( spl2_200
| spl2_50
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f41165,f2855,f541,f6091]) ).
thf(f42304,plain,
( ~ spl2_16
| spl2_131
| ~ spl2_18
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f39819,f16235,f209,f3445,f202]) ).
thf(f42305,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_142
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f42114,f40654]) ).
thf(f42308,plain,
( ~ spl2_113
| spl2_50
| spl2_45
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f42290,f2855,f519,f541,f2859]) ).
thf(f42310,plain,
( ~ spl2_127
| ~ spl2_18
| spl2_142
| ~ spl2_465 ),
inference(avatar_split_clause,[],[f42301,f24304,f3720,f209,f3425]) ).
thf(f42311,plain,
( ~ spl2_16
| ~ spl2_18
| spl2_142
| ~ spl2_376 ),
inference(avatar_split_clause,[],[f42305,f19394,f3720,f209,f202]) ).
thf(f42354,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f1313,f7931]) ).
thf(f42362,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f42354]) ).
thf(f42370,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_16
| spl2_97 ),
inference(forward_subsumption_resolution,[],[f42362,f2316]) ).
thf(f42372,plain,
( spl2_51
| ~ spl2_16
| spl2_97 ),
inference(avatar_split_clause,[],[f42370,f2315,f202,f583]) ).
thf(f42384,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f195,f39379]) ).
thf(f42385,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f431,f39379]) ).
thf(f42386,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f170,f39379]) ).
thf(f42387,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f98,f39379]) ).
thf(f42388,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f1349,f39379]) ).
thf(f42390,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f56,f39379]) ).
thf(f42391,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f28,f39379]) ).
thf(f42397,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f42386]) ).
thf(f42398,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f42388]) ).
thf(f42400,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f42391]) ).
thf(f42401,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f42384]) ).
thf(f42402,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_127 ),
inference(duplicate_literal_removal,[],[f42385]) ).
thf(f42403,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f42402]) ).
thf(f42408,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f42387]) ).
thf(f42412,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f42390]) ).
thf(f42444,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_20
| spl2_117
| spl2_142 ),
inference(constrained_superposition,[],[f217,f41827]) ).
thf(f42451,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| spl2_117
| spl2_142 ),
inference(trivial_inequality_removal,[],[f42444]) ).
thf(f42457,plain,
( ~ spl2_378
| ~ spl2_20
| spl2_117
| spl2_142 ),
inference(avatar_split_clause,[],[f42451,f3720,f2877,f216,f19405]) ).
thf(f42729,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_99 ),
inference(constrained_superposition,[],[f2326,f181]) ).
thf(f42746,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_99 ),
inference(trivial_inequality_removal,[],[f42729]) ).
thf(f42791,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_156
| ~ spl2_326
| ~ spl2_377 ),
inference(constrained_superposition,[],[f38572,f18224]) ).
thf(f42798,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_156
| ~ spl2_326
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f42791]) ).
thf(f42828,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_327
| ~ spl2_367 ),
inference(constrained_superposition,[],[f18233,f19068]) ).
thf(f42837,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_327
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f42828]) ).
thf(f42842,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_117
| spl2_142 ),
inference(constrained_superposition,[],[f41849,f48]) ).
thf(f42853,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_117
| spl2_142 ),
inference(trivial_inequality_removal,[],[f42842]) ).
thf(f42857,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| spl2_117
| spl2_142
| spl2_399 ),
inference(forward_subsumption_resolution,[],[f42853,f20246]) ).
thf(f42858,plain,
( ~ spl2_29
| spl2_30
| spl2_117
| spl2_142
| spl2_399 ),
inference(avatar_split_clause,[],[f42857,f20245,f3720,f2877,f290,f287]) ).
thf(f42872,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_116
| ~ spl2_421 ),
inference(constrained_superposition,[],[f41114,f20735]) ).
thf(f42878,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_116
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f42872]) ).
thf(f42885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_116
| ~ spl2_421
| ~ spl2_452 ),
inference(forward_subsumption_resolution,[],[f42878,f21480]) ).
thf(f42887,plain,
( spl2_496
| ~ spl2_116
| ~ spl2_421
| ~ spl2_452 ),
inference(avatar_split_clause,[],[f42885,f21479,f20734,f2874,f36472]) ).
thf(f42892,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_98
| ~ spl2_409 ),
inference(constrained_superposition,[],[f2320,f20618]) ).
thf(f42893,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_409 ),
inference(constrained_superposition,[],[f5923,f20618]) ).
thf(f42904,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_98
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f42892]) ).
thf(f42910,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_194
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f42893]) ).
thf(f42911,plain,
( spl2_425
| ~ spl2_98
| ~ spl2_409 ),
inference(avatar_split_clause,[],[f42904,f20617,f2319,f20862]) ).
thf(f42913,plain,
( spl2_425
| spl2_416
| ~ spl2_194
| ~ spl2_409 ),
inference(avatar_split_clause,[],[f42910,f20617,f5922,f20679,f20862]) ).
thf(f42914,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_233
| ~ spl2_422 ),
inference(constrained_superposition,[],[f9860,f20888]) ).
thf(f42917,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_233
| ~ spl2_422 ),
inference(trivial_inequality_removal,[],[f42914]) ).
thf(f42918,plain,
( ~ spl2_418
| ~ spl2_233
| ~ spl2_422 ),
inference(avatar_split_clause,[],[f42917,f20792,f9859,f20722]) ).
thf(f42978,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f195,f18613]) ).
thf(f42999,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f42978]) ).
thf(f43015,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| spl2_142
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f42999,f40654]) ).
thf(f43016,plain,
( ~ spl2_440
| spl2_490
| spl2_142
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f43015,f18612,f3720,f30533,f21403]) ).
thf(f43081,plain,
( spl2_308
| ~ spl2_156
| ~ spl2_326
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f42798,f19401,f18223,f4093,f16823]) ).
thf(f43169,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_126
| ~ spl2_354 ),
inference(constrained_superposition,[],[f3423,f18762]) ).
thf(f43171,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_126
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f43169]) ).
thf(f43181,plain,
( $false
| spl2_117
| ~ spl2_126
| spl2_142
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f43171,f41827]) ).
thf(f43182,plain,
( spl2_117
| ~ spl2_126
| spl2_142
| ~ spl2_354 ),
inference(avatar_contradiction_clause,[],[f43181]) ).
thf(f43184,plain,
( ~ spl2_45
| spl2_47
| ~ spl2_327
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f42837,f19067,f18232,f526,f519]) ).
thf(f43186,plain,
( spl2_35
| spl2_20
| ~ spl2_16
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f42408,f3425,f202,f216,f358]) ).
thf(f43189,plain,
( spl2_203
| spl2_22
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f42746,f2325,f234,f6526]) ).
thf(f43191,plain,
( ~ spl2_12
| spl2_384
| ~ spl2_396 ),
inference(avatar_split_clause,[],[f41954,f20175,f19932,f137]) ).
thf(f43267,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_150 ),
inference(constrained_superposition,[],[f3814,f23]) ).
thf(f43269,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_150 ),
inference(trivial_inequality_removal,[],[f43267]) ).
thf(f43280,plain,
( $false
| ~ spl2_13
| spl2_450 ),
inference(forward_subsumption_resolution,[],[f25117,f141]) ).
thf(f43281,plain,
( ~ spl2_13
| spl2_450 ),
inference(avatar_contradiction_clause,[],[f43280]) ).
thf(f43282,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_117
| spl2_150 ),
inference(forward_subsumption_resolution,[],[f43269,f18539]) ).
thf(f43283,plain,
( spl2_35
| spl2_117
| spl2_150 ),
inference(avatar_split_clause,[],[f43282,f3813,f2877,f358]) ).
thf(f43307,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_329 ),
inference(constrained_superposition,[],[f1349,f18241]) ).
thf(f43309,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_329 ),
inference(constrained_superposition,[],[f56,f18241]) ).
thf(f43320,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f43307]) ).
thf(f43326,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f43309]) ).
thf(f43341,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_64
| ~ spl2_142 ),
inference(constrained_superposition,[],[f1014,f3721]) ).
thf(f43351,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_64
| ~ spl2_142 ),
inference(trivial_inequality_removal,[],[f43341]) ).
thf(f43356,plain,
( $false
| ~ spl2_64
| ~ spl2_142
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f43351,f18224]) ).
thf(f43357,plain,
( ~ spl2_64
| ~ spl2_142
| ~ spl2_326 ),
inference(avatar_contradiction_clause,[],[f43356]) ).
thf(f43361,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_8
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f43326,f644]) ).
thf(f43363,plain,
( spl2_9
| spl2_399
| ~ spl2_8
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f43361,f18240,f103,f20245,f106]) ).
thf(f43407,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f107,f89]) ).
thf(f43416,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f43407]) ).
thf(f43623,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_50 ),
inference(constrained_superposition,[],[f527,f542]) ).
thf(f43628,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f527,f49]) ).
thf(f43631,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f43623]) ).
thf(f43633,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f43628]) ).
thf(f43639,plain,
( spl2_233
| ~ spl2_47
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f43631,f541,f526,f9859]) ).
thf(f43640,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_18
| ~ spl2_47 ),
inference(forward_subsumption_resolution,[],[f43633,f210]) ).
thf(f43641,plain,
( spl2_233
| spl2_18
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f43640,f526,f209,f9859]) ).
thf(f43643,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_45
| ~ spl2_233 ),
inference(constrained_superposition,[],[f9860,f520]) ).
thf(f43645,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_45
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f43643]) ).
thf(f43648,plain,
( $false
| ~ spl2_45
| ~ spl2_50
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f43645,f542]) ).
thf(f43649,plain,
( ~ spl2_45
| ~ spl2_50
| ~ spl2_233 ),
inference(avatar_contradiction_clause,[],[f43648]) ).
thf(f43668,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_35
| ~ spl2_75 ),
inference(constrained_superposition,[],[f1288,f359]) ).
thf(f43676,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_35
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f43668]) ).
thf(f43677,plain,
( $false
| ~ spl2_35
| ~ spl2_75
| ~ spl2_116 ),
inference(forward_subsumption_resolution,[],[f43676,f2875]) ).
thf(f43678,plain,
( ~ spl2_35
| ~ spl2_75
| ~ spl2_116 ),
inference(avatar_contradiction_clause,[],[f43677]) ).
thf(f43681,definition,
( spl2_533
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_533])],[avatar_definition]) ).
thf(f43682,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_533 ),
inference(avatar_component_clause,[],[f43681]) ).
thf(f43683,plain,
( spl2_533
| spl2_123
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f42403,f3425,f3175,f43681]) ).
thf(f43684,plain,
( spl2_227
| spl2_39
| spl2_97 ),
inference(avatar_split_clause,[],[f41292,f2315,f492,f9697]) ).
thf(f43690,plain,
( ~ spl2_16
| spl2_126
| spl2_116
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f42397,f3425,f2874,f3422,f202]) ).
thf(f43694,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f29,f501]) ).
thf(f43695,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f43694]) ).
thf(f43725,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(constrained_superposition,[],[f37920,f50]) ).
thf(f43727,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f43725]) ).
thf(f43729,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(forward_subsumption_resolution,[],[f43727,f39]) ).
thf(f43731,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_116
| ~ spl2_321 ),
inference(constrained_superposition,[],[f18025,f43729]) ).
thf(f43732,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| spl2_116 ),
inference(constrained_superposition,[],[f1349,f43729]) ).
thf(f43734,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| spl2_116 ),
inference(constrained_superposition,[],[f56,f43729]) ).
thf(f43743,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_116
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f43731]) ).
thf(f43744,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f43734]) ).
thf(f43745,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f43732]) ).
thf(f43749,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_113
| spl2_116
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f43743,f2917]) ).
thf(f43751,plain,
( spl2_146
| ~ spl2_113
| spl2_116
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f43749,f18024,f2874,f2859,f3788]) ).
thf(f43773,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f6861,f181]) ).
thf(f43774,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f43773]) ).
thf(f43780,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| spl2_425 ),
inference(constrained_superposition,[],[f30484,f50]) ).
thf(f43783,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f43780]) ).
thf(f43785,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f43783,f39]) ).
thf(f43806,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f3789,f181]) ).
thf(f43817,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f43806]) ).
thf(f43829,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_126
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3423,f39379]) ).
thf(f43830,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_126 ),
inference(constrained_superposition,[],[f3423,f180]) ).
thf(f43837,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f43830]) ).
thf(f43842,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_126
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f43829]) ).
thf(f43872,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_472 ),
inference(constrained_superposition,[],[f195,f40819]) ).
thf(f43875,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_472 ),
inference(constrained_superposition,[],[f170,f40819]) ).
thf(f43888,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f43872]) ).
thf(f43898,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f43875]) ).
thf(f43900,plain,
( spl2_131
| ~ spl2_440
| spl2_490
| ~ spl2_472 ),
inference(avatar_split_clause,[],[f43888,f26131,f30533,f21403,f3445]) ).
thf(f43902,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_116
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f43898,f37920]) ).
thf(f43903,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_116
| spl2_425
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f43902,f43785]) ).
thf(f43904,plain,
( spl2_473
| spl2_116
| spl2_425
| ~ spl2_472 ),
inference(avatar_split_clause,[],[f43903,f26131,f20862,f2874,f26134]) ).
thf(f43961,plain,
( ~ spl2_26
| spl2_131
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f43837,f3422,f3445,f277]) ).
thf(f43962,plain,
( spl2_131
| ~ spl2_26
| spl2_28
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f42401,f3425,f283,f277,f3445]) ).
thf(f43963,plain,
( ~ spl2_26
| ~ spl2_126
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f43842,f3425,f3422,f277]) ).
thf(f43964,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_409 ),
inference(constrained_superposition,[],[f43416,f20618]) ).
thf(f43972,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_409 ),
inference(trivial_inequality_removal,[],[f43964]) ).
thf(f43980,plain,
( spl2_452
| ~ spl2_9
| ~ spl2_409 ),
inference(avatar_split_clause,[],[f43972,f20617,f106,f21479]) ).
thf(f43991,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f29,f20863]) ).
thf(f43993,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f43991]) ).
thf(f44007,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f284,f90]) ).
thf(f44013,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f44007]) ).
thf(f44018,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_22
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f44013,f6766]) ).
thf(f44019,plain,
( $false
| spl2_22
| ~ spl2_25
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f44018,f21466]) ).
thf(f44020,plain,
( spl2_22
| ~ spl2_25
| ~ spl2_28 ),
inference(avatar_contradiction_clause,[],[f44019]) ).
thf(f44207,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_116
| ~ spl2_210 ),
inference(constrained_superposition,[],[f43774,f43729]) ).
thf(f44211,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_116
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f44207]) ).
thf(f44229,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_530 ),
inference(constrained_superposition,[],[f41684,f89]) ).
thf(f44235,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_530 ),
inference(trivial_inequality_removal,[],[f44229]) ).
thf(f44256,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_35
| ~ spl2_39 ),
inference(constrained_superposition,[],[f43695,f359]) ).
thf(f44262,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_35
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f44256]) ).
thf(f44268,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_35
| ~ spl2_39
| ~ spl2_123 ),
inference(constrained_superposition,[],[f44262,f3176]) ).
thf(f44277,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_35
| ~ spl2_39
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f44268]) ).
thf(f44284,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_35
| ~ spl2_39
| ~ spl2_123 ),
inference(constrained_superposition,[],[f44277,f3176]) ).
thf(f44287,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35
| ~ spl2_39
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f44284]) ).
thf(f44292,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35
| ~ spl2_39
| ~ spl2_123
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f44287,f4108]) ).
thf(f44293,plain,
( $false
| ~ spl2_35
| ~ spl2_39
| ~ spl2_123
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f44292,f359]) ).
thf(f44294,plain,
( ~ spl2_35
| ~ spl2_39
| ~ spl2_123
| ~ spl2_156 ),
inference(avatar_contradiction_clause,[],[f44293]) ).
thf(f44299,plain,
( ~ spl2_45
| spl2_190
| spl2_47
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f41813,f19067,f526,f5720,f519]) ).
thf(f44303,plain,
( spl2_123
| spl2_116
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f44211,f6860,f2874,f3175]) ).
thf(f44310,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_8
| ~ spl2_530 ),
inference(forward_subsumption_resolution,[],[f44235,f644]) ).
thf(f44312,plain,
( ~ spl2_16
| spl2_123
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f43817,f3788,f3175,f202]) ).
thf(f44316,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_8
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f43320,f644]) ).
thf(f44318,plain,
( ~ spl2_378
| ~ spl2_190
| ~ spl2_292
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f41513,f18761,f16235,f5720,f19405]) ).
thf(f44320,plain,
( spl2_147
| ~ spl2_113
| spl2_39
| spl2_116 ),
inference(avatar_split_clause,[],[f43744,f2874,f492,f2859,f3796]) ).
thf(f44325,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_97
| spl2_116 ),
inference(forward_subsumption_resolution,[],[f43745,f2316]) ).
thf(f44333,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_8
| ~ spl2_25
| ~ spl2_530 ),
inference(forward_subsumption_resolution,[],[f44310,f21466]) ).
thf(f44336,plain,
( spl2_399
| spl2_326
| ~ spl2_8
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f44316,f18240,f103,f18223,f20245]) ).
thf(f44339,plain,
( ~ spl2_113
| spl2_39
| spl2_97
| spl2_116 ),
inference(avatar_split_clause,[],[f44325,f2874,f2315,f492,f2859]) ).
thf(f44343,plain,
( spl2_452
| ~ spl2_8
| ~ spl2_25
| ~ spl2_530 ),
inference(avatar_split_clause,[],[f44333,f41683,f273,f103,f21479]) ).
thf(f44377,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f29,f235]) ).
thf(f44378,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f44377]) ).
thf(f44471,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_112 ),
inference(constrained_superposition,[],[f98,f38020]) ).
thf(f44482,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f44471]) ).
thf(f44546,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_107
| ~ spl2_411 ),
inference(constrained_superposition,[],[f2761,f20645]) ).
thf(f44549,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_107
| ~ spl2_411 ),
inference(trivial_inequality_removal,[],[f44546]) ).
thf(f44555,plain,
( ~ spl2_452
| ~ spl2_107
| ~ spl2_411 ),
inference(avatar_split_clause,[],[f44549,f20644,f2760,f21479]) ).
thf(f44769,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_376 ),
inference(constrained_superposition,[],[f19395,f1974]) ).
thf(f44776,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f44769]) ).
thf(f45056,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_367
| ~ spl2_521 ),
inference(constrained_superposition,[],[f40657,f19068]) ).
thf(f45058,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_384
| ~ spl2_521 ),
inference(constrained_superposition,[],[f40657,f19933]) ).
thf(f45064,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_367
| ~ spl2_521 ),
inference(trivial_inequality_removal,[],[f45056]) ).
thf(f45069,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_384
| ~ spl2_521 ),
inference(trivial_inequality_removal,[],[f45058]) ).
thf(f45070,plain,
( spl2_67
| ~ spl2_367
| ~ spl2_521 ),
inference(avatar_split_clause,[],[f45064,f40656,f19067,f1082]) ).
thf(f45071,plain,
( spl2_74
| ~ spl2_384
| ~ spl2_521 ),
inference(avatar_split_clause,[],[f45069,f40656,f19932,f1283]) ).
thf(f45079,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_31
| ~ spl2_112 ),
inference(forward_subsumption_resolution,[],[f44482,f6863]) ).
thf(f45092,plain,
( spl2_377
| ~ spl2_34
| ~ spl2_113
| ~ spl2_376 ),
inference(avatar_split_clause,[],[f44776,f19394,f2859,f355,f19401]) ).
thf(f45101,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_127
| ~ spl2_465 ),
inference(forward_subsumption_resolution,[],[f42205,f39379]) ).
thf(f45119,plain,
( ~ spl2_34
| spl2_146
| spl2_31
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f45079,f2855,f305,f3788,f355]) ).
thf(f45131,plain,
( ~ spl2_18
| spl2_142
| ~ spl2_127
| ~ spl2_465 ),
inference(avatar_split_clause,[],[f45101,f24304,f3425,f3720,f209]) ).
thf(f45198,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_116 ),
inference(constrained_superposition,[],[f73,f2875]) ).
thf(f45199,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_116 ),
inference(constrained_superposition,[],[f29,f2875]) ).
thf(f45203,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f45199]) ).
thf(f45204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_116 ),
inference(trivial_inequality_removal,[],[f45198]) ).
thf(f45221,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_14 ),
inference(constrained_superposition,[],[f144,f644]) ).
thf(f45224,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f45221]) ).
thf(f45229,plain,
( ~ spl2_11
| ~ spl2_8
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f45224,f143,f103,f133]) ).
thf(f45323,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_494 ),
inference(constrained_superposition,[],[f2832,f36216]) ).
thf(f45325,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_494 ),
inference(constrained_superposition,[],[f431,f36216]) ).
thf(f45341,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_494 ),
inference(duplicate_literal_removal,[],[f45325]) ).
thf(f45342,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f45341]) ).
thf(f45352,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f45323]) ).
thf(f45355,plain,
( spl2_500
| spl2_411
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f45342,f36215,f20644,f36840]) ).
thf(f45357,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_127
| ~ spl2_494 ),
inference(forward_subsumption_resolution,[],[f45352,f39379]) ).
thf(f45358,plain,
( spl2_126
| spl2_421
| ~ spl2_127
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f45357,f36215,f3425,f20734,f3422]) ).
thf(f45398,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_472
| ~ spl2_533 ),
inference(constrained_superposition,[],[f43682,f40819]) ).
thf(f45420,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_472
| ~ spl2_533 ),
inference(trivial_inequality_removal,[],[f45398]) ).
thf(f45432,plain,
( ~ spl2_440
| ~ spl2_472
| ~ spl2_533 ),
inference(avatar_split_clause,[],[f45420,f43681,f26131,f21403]) ).
thf(f45469,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f107,f23]) ).
thf(f45471,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f45469]) ).
thf(f45485,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f29,f3176]) ).
thf(f45487,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f45485]) ).
thf(f45491,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_329 ),
inference(constrained_superposition,[],[f28883,f23]) ).
thf(f45493,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_329 ),
inference(trivial_inequality_removal,[],[f45491]) ).
thf(f45497,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_142
| ~ spl2_316 ),
inference(constrained_superposition,[],[f17971,f3721]) ).
thf(f45498,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_142 ),
inference(constrained_superposition,[],[f44378,f3721]) ).
thf(f45499,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_142 ),
inference(constrained_superposition,[],[f73,f3721]) ).
thf(f45502,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_142 ),
inference(trivial_inequality_removal,[],[f45499]) ).
thf(f45503,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_22
| ~ spl2_142 ),
inference(trivial_inequality_removal,[],[f45498]) ).
thf(f45504,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_142
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f45497]) ).
thf(f45607,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_506 ),
inference(constrained_superposition,[],[f1349,f37586]) ).
thf(f45630,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_506 ),
inference(trivial_inequality_removal,[],[f45607]) ).
thf(f45660,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f2832,f18620]) ).
thf(f45685,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f45660]) ).
thf(f45692,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_347
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f45685,f18762]) ).
thf(f45693,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_347
| ~ spl2_354
| spl2_421 ),
inference(forward_subsumption_resolution,[],[f45692,f37570]) ).
thf(f45694,plain,
( spl2_395
| ~ spl2_347
| ~ spl2_354
| spl2_421 ),
inference(avatar_split_clause,[],[f45693,f20734,f18761,f18619,f20171]) ).
thf(f45742,definition,
( spl2_534
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_534])],[avatar_definition]) ).
thf(f45743,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_534 ),
inference(avatar_component_clause,[],[f45742]) ).
thf(f45744,plain,
( ~ spl2_450
| spl2_534
| ~ spl2_22
| ~ spl2_142 ),
inference(avatar_split_clause,[],[f45503,f3720,f234,f45742,f21471]) ).
thf(f45746,plain,
( spl2_351
| spl2_450
| spl2_329 ),
inference(avatar_split_clause,[],[f45493,f18240,f21471,f18697]) ).
thf(f45760,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_367
| ~ spl2_534 ),
inference(constrained_superposition,[],[f45743,f19068]) ).
thf(f45761,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_326
| ~ spl2_534 ),
inference(constrained_superposition,[],[f45743,f18224]) ).
thf(f45763,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_534 ),
inference(constrained_superposition,[],[f45743,f49]) ).
thf(f45766,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_367
| ~ spl2_534 ),
inference(trivial_inequality_removal,[],[f45760]) ).
thf(f45767,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_534 ),
inference(trivial_inequality_removal,[],[f45763]) ).
thf(f45771,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_326
| ~ spl2_534 ),
inference(trivial_inequality_removal,[],[f45761]) ).
thf(f45772,plain,
( spl2_107
| ~ spl2_367
| ~ spl2_534 ),
inference(avatar_split_clause,[],[f45766,f45742,f19067,f2760]) ).
thf(f45773,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_190
| ~ spl2_534 ),
inference(forward_subsumption_resolution,[],[f45767,f5721]) ).
thf(f45775,plain,
( spl2_63
| ~ spl2_326
| ~ spl2_534 ),
inference(avatar_split_clause,[],[f45771,f45742,f18223,f1001]) ).
thf(f45776,plain,
( spl2_63
| spl2_190
| ~ spl2_534 ),
inference(avatar_split_clause,[],[f45773,f45742,f5720,f1001]) ).
thf(f45790,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_329 ),
inference(constrained_superposition,[],[f431,f18241]) ).
thf(f45819,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f45790]) ).
thf(f45996,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_22
| ~ spl2_318 ),
inference(constrained_superposition,[],[f17988,f235]) ).
thf(f45999,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_50
| ~ spl2_318 ),
inference(constrained_superposition,[],[f17988,f542]) ).
thf(f46001,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_318 ),
inference(constrained_superposition,[],[f17988,f49]) ).
thf(f46006,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_50
| ~ spl2_318 ),
inference(trivial_inequality_removal,[],[f45999]) ).
thf(f46008,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_318 ),
inference(trivial_inequality_removal,[],[f46001]) ).
thf(f46009,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_318 ),
inference(trivial_inequality_removal,[],[f45996]) ).
thf(f46013,plain,
( spl2_70
| ~ spl2_50
| ~ spl2_318 ),
inference(avatar_split_clause,[],[f46006,f17987,f541,f1185]) ).
thf(f46015,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_18
| ~ spl2_318 ),
inference(forward_subsumption_resolution,[],[f46008,f210]) ).
thf(f46016,plain,
( spl2_40
| ~ spl2_22
| ~ spl2_318 ),
inference(avatar_split_clause,[],[f46009,f17987,f234,f495]) ).
thf(f46018,plain,
( spl2_70
| spl2_18
| ~ spl2_318 ),
inference(avatar_split_clause,[],[f46015,f17987,f209,f1185]) ).
thf(f46395,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_316
| ~ spl2_492 ),
inference(constrained_superposition,[],[f17971,f36953]) ).
thf(f46397,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_492 ),
inference(constrained_superposition,[],[f73,f36953]) ).
thf(f46399,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_316
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f46395]) ).
thf(f46401,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_492 ),
inference(trivial_inequality_removal,[],[f46397]) ).
thf(f46450,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_346
| ~ spl2_501 ),
inference(constrained_superposition,[],[f37444,f18617]) ).
thf(f46451,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_346 ),
inference(constrained_superposition,[],[f73,f18617]) ).
thf(f46454,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $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 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f46451]) ).
thf(f46455,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_346
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f46450]) ).
thf(f46458,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_472
| ~ spl2_490 ),
inference(constrained_superposition,[],[f30534,f40819]) ).
thf(f46467,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_472
| ~ spl2_490 ),
inference(trivial_inequality_removal,[],[f46458]) ).
thf(f46513,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f42400,f48]) ).
thf(f46527,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f46513]) ).
thf(f46669,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_116
| ~ spl2_123 ),
inference(constrained_superposition,[],[f45487,f2875]) ).
thf(f46672,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_123
| ~ spl2_134 ),
inference(constrained_superposition,[],[f45487,f3510]) ).
thf(f46674,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f45487,f49]) ).
thf(f46677,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f46674]) ).
thf(f46681,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_123
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f46672]) ).
thf(f46683,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_116
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f46669]) ).
thf(f46685,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_50
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f46677,f542]) ).
thf(f46687,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_50
| ~ spl2_123
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f46681,f542]) ).
thf(f46688,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_22
| ~ spl2_116
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f46683,f235]) ).
thf(f46689,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_50
| spl2_113
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f46685,f2860]) ).
thf(f46690,plain,
( spl2_70
| ~ spl2_50
| ~ spl2_123
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f46687,f3509,f3175,f541,f1185]) ).
thf(f46691,plain,
( spl2_40
| ~ spl2_22
| ~ spl2_116
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f46688,f3175,f2874,f234,f495]) ).
thf(f46692,plain,
( spl2_70
| ~ spl2_50
| spl2_113
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f46689,f3175,f2859,f541,f1185]) ).
thf(f46693,plain,
( ~ spl2_112
| ~ spl2_472
| ~ spl2_490 ),
inference(avatar_split_clause,[],[f46467,f30533,f26131,f2855]) ).
thf(f46735,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_533 ),
inference(constrained_superposition,[],[f43682,f48]) ).
thf(f46744,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_533 ),
inference(trivial_inequality_removal,[],[f46735]) ).
thf(f46775,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_367
| ~ spl2_384 ),
inference(constrained_superposition,[],[f41814,f19933]) ).
thf(f46776,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_326
| ~ spl2_367 ),
inference(constrained_superposition,[],[f41814,f18224]) ).
thf(f46778,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_367 ),
inference(constrained_superposition,[],[f41814,f49]) ).
thf(f46785,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_367
| ~ spl2_384 ),
inference(trivial_inequality_removal,[],[f46775]) ).
thf(f46787,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f46778]) ).
thf(f46788,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_326
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f46776]) ).
thf(f46791,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_22
| ~ spl2_367
| ~ spl2_384 ),
inference(forward_subsumption_resolution,[],[f46785,f235]) ).
thf(f46792,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_50
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f46787,f542]) ).
thf(f46793,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_50
| ~ spl2_326
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f46788,f542]) ).
thf(f46795,plain,
( spl2_40
| ~ spl2_22
| ~ spl2_367
| ~ spl2_384 ),
inference(avatar_split_clause,[],[f46791,f19932,f19067,f234,f495]) ).
thf(f46796,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_50
| spl2_190
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f46792,f5721]) ).
thf(f46797,plain,
( spl2_70
| ~ spl2_50
| ~ spl2_326
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f46793,f19067,f18223,f541,f1185]) ).
thf(f46799,plain,
( spl2_70
| ~ spl2_50
| spl2_190
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f46796,f19067,f5720,f541,f1185]) ).
thf(f46800,plain,
( spl2_457
| spl2_367
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f45819,f18240,f19067,f22421]) ).
thf(f46801,plain,
( ~ spl2_399
| spl2_521
| ~ spl2_142
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f45504,f17970,f3720,f40656,f20245]) ).
thf(f46802,plain,
( spl2_449
| ~ spl2_399
| spl2_18
| ~ spl2_142 ),
inference(avatar_split_clause,[],[f45502,f3720,f209,f20245,f21463]) ).
thf(f46807,plain,
( spl2_156
| spl2_30
| ~ spl2_29
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f46527,f3425,f287,f290,f4093]) ).
thf(f46808,plain,
( spl2_19
| spl2_156
| ~ spl2_18
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f42412,f3425,f209,f4093,f212]) ).
thf(f46809,plain,
( spl2_156
| ~ spl2_29
| ~ spl2_533 ),
inference(avatar_split_clause,[],[f46744,f43681,f287,f4093]) ).
thf(f46824,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_18 ),
inference(constrained_superposition,[],[f45471,f511]) ).
thf(f46840,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_9
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f46824]) ).
thf(f46845,plain,
( spl2_23
| spl2_31
| ~ spl2_9
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f46840,f209,f106,f305,f237]) ).
thf(f46888,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_350
| ~ spl2_501 ),
inference(constrained_superposition,[],[f37444,f18695]) ).
thf(f46893,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_350
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f46888]) ).
thf(f46895,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_35
| ~ spl2_350
| ~ spl2_501 ),
inference(forward_subsumption_resolution,[],[f46893,f359]) ).
thf(f46896,plain,
( spl2_251
| ~ spl2_35
| ~ spl2_350
| ~ spl2_501 ),
inference(avatar_split_clause,[],[f46895,f37443,f18694,f358,f12095]) ).
thf(f46957,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_425
| ~ spl2_474 ),
inference(constrained_superposition,[],[f43993,f26156]) ).
thf(f46962,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_425
| ~ spl2_474 ),
inference(trivial_inequality_removal,[],[f46957]) ).
thf(f46965,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_35
| ~ spl2_425
| ~ spl2_474 ),
inference(forward_subsumption_resolution,[],[f46962,f359]) ).
thf(f46966,plain,
( spl2_132
| ~ spl2_35
| ~ spl2_425
| ~ spl2_474 ),
inference(avatar_split_clause,[],[f46965,f26155,f20862,f358,f3469]) ).
thf(f46968,plain,
( ~ spl2_452
| spl2_434
| ~ spl2_346
| ~ spl2_501 ),
inference(avatar_split_clause,[],[f46455,f37443,f18616,f21109,f21479]) ).
thf(f46987,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f1349,f7931]) ).
thf(f46989,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f56,f7931]) ).
thf(f46990,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f28,f7931]) ).
thf(f47000,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f46989]) ).
thf(f47001,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f46987]) ).
thf(f47003,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f46990]) ).
thf(f47020,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_425 ),
inference(constrained_superposition,[],[f30484,f50]) ).
thf(f47023,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f47020]) ).
thf(f47025,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f47023,f39]) ).
thf(f47028,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_425 ),
inference(constrained_superposition,[],[f1349,f47025]) ).
thf(f47030,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| spl2_425 ),
inference(constrained_superposition,[],[f56,f47025]) ).
thf(f47039,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f47028]) ).
thf(f47045,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f47030]) ).
thf(f47100,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_350
| ~ spl2_521 ),
inference(constrained_superposition,[],[f40657,f18695]) ).
thf(f47103,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_521 ),
inference(constrained_superposition,[],[f40657,f49]) ).
thf(f47106,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_521 ),
inference(trivial_inequality_removal,[],[f47103]) ).
thf(f47107,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_350
| ~ spl2_521 ),
inference(trivial_inequality_removal,[],[f47100]) ).
thf(f47113,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_190
| ~ spl2_521 ),
inference(forward_subsumption_resolution,[],[f47106,f5721]) ).
thf(f47114,plain,
( spl2_268
| ~ spl2_350
| ~ spl2_521 ),
inference(avatar_split_clause,[],[f47107,f40656,f18694,f13750]) ).
thf(f47117,plain,
( spl2_64
| spl2_190
| ~ spl2_521 ),
inference(avatar_split_clause,[],[f47113,f40656,f5720,f1013]) ).
thf(f47123,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_319 ),
inference(constrained_superposition,[],[f18000,f49]) ).
thf(f47132,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_319 ),
inference(duplicate_literal_removal,[],[f47123]) ).
thf(f47133,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_319 ),
inference(trivial_inequality_removal,[],[f47132]) ).
thf(f47162,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_457 ),
inference(constrained_superposition,[],[f22422,f1974]) ).
thf(f47166,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_457 ),
inference(trivial_inequality_removal,[],[f47162]) ).
thf(f47204,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f47003,f89]) ).
thf(f47212,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_16 ),
inference(duplicate_literal_removal,[],[f47204]) ).
thf(f47213,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f47212]) ).
thf(f47245,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_474
| ~ spl2_504 ),
inference(constrained_superposition,[],[f37573,f26156]) ).
thf(f47249,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_504 ),
inference(constrained_superposition,[],[f37573,f49]) ).
thf(f47253,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_504 ),
inference(trivial_inequality_removal,[],[f47249]) ).
thf(f47257,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_474
| ~ spl2_504 ),
inference(trivial_inequality_removal,[],[f47245]) ).
thf(f47259,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_409
| ~ spl2_504 ),
inference(forward_subsumption_resolution,[],[f47253,f22140]) ).
thf(f47262,plain,
( spl2_520
| spl2_409
| ~ spl2_504 ),
inference(avatar_split_clause,[],[f47259,f37572,f20617,f40139]) ).
thf(f47276,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_116
| ~ spl2_474
| ~ spl2_504 ),
inference(constrained_superposition,[],[f47257,f2875]) ).
thf(f47286,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_116
| ~ spl2_474
| ~ spl2_504 ),
inference(trivial_inequality_removal,[],[f47276]) ).
thf(f47287,plain,
( $false
| ~ spl2_35
| ~ spl2_116
| ~ spl2_474
| ~ spl2_504 ),
inference(forward_subsumption_resolution,[],[f47286,f359]) ).
thf(f47288,plain,
( ~ spl2_35
| ~ spl2_116
| ~ spl2_474
| ~ spl2_504 ),
inference(avatar_contradiction_clause,[],[f47287]) ).
thf(f47289,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_142
| ~ spl2_323 ),
inference(constrained_superposition,[],[f18035,f3721]) ).
thf(f47297,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_142
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f47289]) ).
thf(f47307,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_142
| ~ spl2_323 ),
inference(constrained_superposition,[],[f47297,f49]) ).
thf(f47315,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_142
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f47307]) ).
thf(f47318,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_142
| spl2_190
| ~ spl2_323 ),
inference(forward_subsumption_resolution,[],[f47315,f5721]) ).
thf(f47321,plain,
( spl2_469
| ~ spl2_142
| spl2_190
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f47318,f18034,f5720,f3720,f25120]) ).
thf(f47322,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_142 ),
inference(constrained_superposition,[],[f40654,f50]) ).
thf(f47324,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_142 ),
inference(trivial_inequality_removal,[],[f47322]) ).
thf(f47326,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_117
| spl2_142 ),
inference(forward_subsumption_resolution,[],[f47324,f18539]) ).
thf(f47330,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_117
| spl2_142 ),
inference(constrained_superposition,[],[f2832,f47326]) ).
thf(f47344,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_117
| spl2_142 ),
inference(trivial_inequality_removal,[],[f47330]) ).
thf(f47361,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_117
| ~ spl2_127
| spl2_142 ),
inference(forward_subsumption_resolution,[],[f47344,f39379]) ).
thf(f47364,definition,
( spl2_537
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_537])],[avatar_definition]) ).
thf(f47365,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_537 ),
inference(avatar_component_clause,[],[f47364]) ).
thf(f47368,plain,
( spl2_126
| spl2_377
| spl2_117
| ~ spl2_127
| spl2_142 ),
inference(avatar_split_clause,[],[f47361,f3720,f3425,f2877,f19401,f3422]) ).
thf(f47391,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_525 ),
inference(constrained_superposition,[],[f40730,f1974]) ).
thf(f47394,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_525 ),
inference(trivial_inequality_removal,[],[f47391]) ).
thf(f47400,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_127
| ~ spl2_525 ),
inference(forward_subsumption_resolution,[],[f47394,f39379]) ).
thf(f47401,plain,
( spl2_377
| ~ spl2_127
| ~ spl2_525 ),
inference(avatar_split_clause,[],[f47400,f40729,f3425,f19401]) ).
thf(f47404,plain,
( spl2_42
| spl2_113
| ~ spl2_39
| ~ spl2_116 ),
inference(avatar_split_clause,[],[f45204,f2874,f492,f2859,f504]) ).
thf(f47407,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f29,f501]) ).
thf(f47408,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f47407]) ).
thf(f47494,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_142
| ~ spl2_316 ),
inference(constrained_superposition,[],[f17971,f3721]) ).
thf(f47496,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl2_142 ),
inference(constrained_superposition,[],[f29,f3721]) ).
thf(f47498,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_142 ),
inference(trivial_inequality_removal,[],[f47496]) ).
thf(f47500,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_142
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f47494]) ).
thf(f47530,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_476 ),
inference(constrained_superposition,[],[f26706,f180]) ).
thf(f47534,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_476 ),
inference(trivial_inequality_removal,[],[f47530]) ).
thf(f47548,plain,
( ( $true
!= ( r @ ( 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_406 ),
inference(constrained_superposition,[],[f1349,f20607]) ).
thf(f47550,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_406 ),
inference(constrained_superposition,[],[f56,f20607]) ).
thf(f47570,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f47550]) ).
thf(f47573,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f47548]) ).
thf(f47587,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_31
| ~ spl2_55 ),
inference(constrained_superposition,[],[f818,f306]) ).
thf(f47595,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_31
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f47587]) ).
thf(f47602,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_31
| ~ spl2_50
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f47595,f542]) ).
thf(f47603,plain,
( $false
| ~ spl2_31
| ~ spl2_45
| ~ spl2_50
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f47602,f520]) ).
thf(f47604,plain,
( ~ spl2_31
| ~ spl2_45
| ~ spl2_50
| ~ spl2_55 ),
inference(avatar_contradiction_clause,[],[f47603]) ).
thf(f47695,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_537 ),
inference(constrained_superposition,[],[f47365,f1974]) ).
thf(f47698,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_537 ),
inference(trivial_inequality_removal,[],[f47695]) ).
thf(f47704,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_537 ),
inference(forward_subsumption_resolution,[],[f47698,f38020]) ).
thf(f47705,plain,
( spl2_377
| ~ spl2_112
| ~ spl2_537 ),
inference(avatar_split_clause,[],[f47704,f47364,f2855,f19401]) ).
thf(f47707,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_142
| ~ spl2_469 ),
inference(constrained_superposition,[],[f25121,f3721]) ).
thf(f47716,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_142
| ~ spl2_469 ),
inference(trivial_inequality_removal,[],[f47707]) ).
thf(f47730,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_31
| ~ spl2_39 ),
inference(constrained_superposition,[],[f47408,f306]) ).
thf(f47738,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_31
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f47730]) ).
thf(f47747,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_31
| ~ spl2_39 ),
inference(constrained_superposition,[],[f47738,f49]) ).
thf(f47751,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_31
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f47747]) ).
thf(f47758,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_18
| ~ spl2_31
| ~ spl2_39 ),
inference(forward_subsumption_resolution,[],[f47751,f210]) ).
thf(f47759,plain,
( spl2_55
| spl2_18
| ~ spl2_31
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f47758,f492,f305,f209,f817]) ).
thf(f47760,plain,
( spl2_422
| ~ spl2_8
| spl2_9
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f47570,f20606,f106,f103,f20792]) ).
thf(f47761,plain,
( ~ spl2_18
| spl2_19
| spl2_39
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f47000,f202,f492,f212,f209]) ).
thf(f47763,plain,
( spl2_97
| spl2_39
| ~ spl2_18
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f47001,f202,f209,f492,f2315]) ).
thf(f47764,plain,
( spl2_410
| spl2_39
| ~ spl2_409
| spl2_425 ),
inference(avatar_split_clause,[],[f47045,f20862,f20617,f492,f20641]) ).
thf(f47765,plain,
( ~ spl2_450
| ~ spl2_326
| ~ spl2_142
| ~ spl2_469 ),
inference(avatar_split_clause,[],[f47716,f25120,f3720,f18223,f21471]) ).
thf(f47767,plain,
( spl2_422
| ~ spl2_8
| spl2_418
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f47573,f20606,f20722,f103,f20792]) ).
thf(f47768,plain,
( ~ spl2_97
| spl2_18
| spl2_96
| ~ spl2_319 ),
inference(avatar_split_clause,[],[f47133,f17999,f2312,f209,f2315]) ).
thf(f47770,plain,
( spl2_210
| spl2_31
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f47213,f202,f305,f6860]) ).
thf(f47772,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_127
| spl2_156 ),
inference(forward_subsumption_resolution,[],[f42398,f4094]) ).
thf(f47773,plain,
( spl2_39
| spl2_97
| ~ spl2_409
| spl2_425 ),
inference(avatar_split_clause,[],[f47039,f20862,f20617,f2315,f492]) ).
thf(f47777,plain,
( ~ spl2_18
| spl2_131
| ~ spl2_476 ),
inference(avatar_split_clause,[],[f47534,f26705,f3445,f209]) ).
thf(f47778,plain,
( spl2_18
| ~ spl2_422
| spl2_435
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f46401,f35560,f21114,f20792,f209]) ).
thf(f47780,plain,
( spl2_435
| ~ spl2_422
| spl2_190
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f46454,f18616,f5720,f20792,f21114]) ).
thf(f47784,definition,
( spl2_538
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_538])],[avatar_definition]) ).
thf(f47785,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_538 ),
inference(avatar_component_clause,[],[f47784]) ).
thf(f47786,plain,
( ~ spl2_422
| spl2_538
| ~ spl2_316
| ~ spl2_492 ),
inference(avatar_split_clause,[],[f46399,f35560,f17970,f47784,f20792]) ).
thf(f47787,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_113
| ~ spl2_506 ),
inference(forward_subsumption_resolution,[],[f45630,f2917]) ).
thf(f47790,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_127
| spl2_134
| spl2_156 ),
inference(forward_subsumption_resolution,[],[f47772,f26777]) ).
thf(f47794,plain,
( spl2_422
| spl2_418
| ~ spl2_113
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f47787,f37585,f2859,f20722,f20792]) ).
thf(f47795,plain,
( ~ spl2_18
| ~ spl2_127
| spl2_134
| spl2_156 ),
inference(avatar_split_clause,[],[f47790,f4093,f3509,f3425,f209]) ).
thf(f47808,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f28,f511]) ).
thf(f47816,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f47808]) ).
thf(f47915,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_131 ),
inference(constrained_superposition,[],[f29,f3446]) ).
thf(f47918,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f47915]) ).
thf(f48004,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_118
| ~ spl2_377 ),
inference(constrained_superposition,[],[f2920,f19402]) ).
thf(f48007,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_116
| ~ spl2_377 ),
inference(constrained_superposition,[],[f45203,f19402]) ).
thf(f48011,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_116
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f48007]) ).
thf(f48013,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_118
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f48004]) ).
thf(f48020,plain,
( ~ spl2_450
| spl2_400
| ~ spl2_118
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f48013,f19401,f2919,f20252,f21471]) ).
thf(f48021,plain,
( spl2_534
| ~ spl2_450
| ~ spl2_116
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f48011,f19401,f2874,f21471,f45742]) ).
thf(f48024,plain,
( spl2_521
| ~ spl2_399
| ~ spl2_142
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f47500,f17970,f3720,f20245,f40656]) ).
thf(f48101,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_107 ),
inference(constrained_superposition,[],[f2761,f520]) ).
thf(f48104,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_45
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f48101]) ).
thf(f48106,plain,
( $false
| ~ spl2_45
| ~ spl2_97
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f48104,f2321]) ).
thf(f48107,plain,
( ~ spl2_45
| ~ spl2_97
| ~ spl2_107 ),
inference(avatar_contradiction_clause,[],[f48106]) ).
thf(f48121,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_67
| ~ spl2_367 ),
inference(constrained_superposition,[],[f1083,f19068]) ).
thf(f48123,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_45
| ~ spl2_67 ),
inference(constrained_superposition,[],[f1083,f520]) ).
thf(f48124,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_45
| ~ spl2_67 ),
inference(trivial_inequality_removal,[],[f48123]) ).
thf(f48126,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_67
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f48121]) ).
thf(f48128,plain,
( $false
| ~ spl2_45
| ~ spl2_50
| ~ spl2_67 ),
inference(forward_subsumption_resolution,[],[f48124,f542]) ).
thf(f48129,plain,
( ~ spl2_45
| ~ spl2_50
| ~ spl2_67 ),
inference(avatar_contradiction_clause,[],[f48128]) ).
thf(f48130,plain,
( $false
| ~ spl2_67
| ~ spl2_142
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f48126,f3721]) ).
thf(f48131,plain,
( ~ spl2_67
| ~ spl2_142
| ~ spl2_367 ),
inference(avatar_contradiction_clause,[],[f48130]) ).
thf(f48133,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f29,f501]) ).
thf(f48134,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f48133]) ).
thf(f48182,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_268
| ~ spl2_350 ),
inference(constrained_superposition,[],[f13751,f18695]) ).
thf(f48188,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_268
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f48182]) ).
thf(f48191,plain,
( $false
| ~ spl2_142
| ~ spl2_268
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f48188,f3721]) ).
thf(f48192,plain,
( ~ spl2_142
| ~ spl2_268
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f48191]) ).
thf(f48250,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(constrained_superposition,[],[f30484,f50]) ).
thf(f48252,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f48250]) ).
thf(f48254,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f48252,f39]) ).
thf(f48264,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_425 ),
inference(constrained_superposition,[],[f28,f48254]) ).
thf(f48271,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f48264]) ).
thf(f48286,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_411 ),
inference(constrained_superposition,[],[f73,f20645]) ).
thf(f48288,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_411 ),
inference(trivial_inequality_removal,[],[f48286]) ).
thf(f48291,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_350
| ~ spl2_400 ),
inference(constrained_superposition,[],[f20253,f18695]) ).
thf(f48298,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_350
| ~ spl2_400 ),
inference(trivial_inequality_removal,[],[f48291]) ).
thf(f48303,plain,
( $false
| ~ spl2_35
| ~ spl2_350
| ~ spl2_400 ),
inference(forward_subsumption_resolution,[],[f48298,f359]) ).
thf(f48304,plain,
( ~ spl2_35
| ~ spl2_350
| ~ spl2_400 ),
inference(avatar_contradiction_clause,[],[f48303]) ).
thf(f48409,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_472
| ~ spl2_476 ),
inference(constrained_superposition,[],[f26706,f40819]) ).
thf(f48415,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_472 ),
inference(constrained_superposition,[],[f1349,f40819]) ).
thf(f48417,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_472 ),
inference(constrained_superposition,[],[f56,f40819]) ).
thf(f48427,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f48415]) ).
thf(f48428,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_472
| ~ spl2_476 ),
inference(trivial_inequality_removal,[],[f48409]) ).
thf(f48430,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_472 ),
inference(trivial_inequality_removal,[],[f48417]) ).
thf(f48437,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_156
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f48427,f4094]) ).
thf(f48438,plain,
( $false
| ~ spl2_409
| ~ spl2_472
| ~ spl2_476 ),
inference(forward_subsumption_resolution,[],[f48428,f20618]) ).
thf(f48439,plain,
( ~ spl2_409
| ~ spl2_472
| ~ spl2_476 ),
inference(avatar_contradiction_clause,[],[f48438]) ).
thf(f48440,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| spl2_156
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f48430,f4094]) ).
thf(f48442,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_134
| spl2_156
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f48437,f26777]) ).
thf(f48443,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| spl2_156
| ~ spl2_409
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f48440,f20618]) ).
thf(f48444,plain,
( $false
| spl2_134
| spl2_156
| ~ spl2_409
| ~ spl2_472 ),
inference(forward_subsumption_resolution,[],[f48442,f20618]) ).
thf(f48445,plain,
( spl2_134
| spl2_156
| ~ spl2_409
| ~ spl2_472 ),
inference(avatar_contradiction_clause,[],[f48444]) ).
thf(f48446,plain,
( spl2_410
| spl2_156
| ~ spl2_409
| ~ spl2_472 ),
inference(avatar_split_clause,[],[f48443,f26131,f20617,f4093,f20641]) ).
thf(f48502,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f47816,f48]) ).
thf(f48514,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_18 ),
inference(duplicate_literal_removal,[],[f48502]) ).
thf(f48515,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f48514]) ).
thf(f48533,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_474
| ~ spl2_538 ),
inference(constrained_superposition,[],[f47785,f26156]) ).
thf(f48534,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_411
| ~ spl2_538 ),
inference(constrained_superposition,[],[f47785,f20645]) ).
thf(f48540,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_474
| ~ spl2_538 ),
inference(trivial_inequality_removal,[],[f48533]) ).
thf(f48541,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_411
| ~ spl2_538 ),
inference(trivial_inequality_removal,[],[f48534]) ).
thf(f48546,plain,
( spl2_268
| ~ spl2_474
| ~ spl2_538 ),
inference(avatar_split_clause,[],[f48540,f47784,f26155,f13750]) ).
thf(f48547,plain,
( spl2_67
| ~ spl2_411
| ~ spl2_538 ),
inference(avatar_split_clause,[],[f48541,f47784,f20644,f1082]) ).
thf(f48746,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_116
| ~ spl2_131 ),
inference(constrained_superposition,[],[f47918,f2875]) ).
thf(f48755,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_116
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f48746]) ).
thf(f48761,plain,
( spl2_160
| ~ spl2_116
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f48755,f3445,f2874,f4112]) ).
thf(f48763,definition,
( spl2_539
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_539])],[avatar_definition]) ).
thf(f48764,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_539 ),
inference(avatar_component_clause,[],[f48763]) ).
thf(f48767,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_160
| ~ spl2_377 ),
inference(constrained_superposition,[],[f4113,f19402]) ).
thf(f48774,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_160
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f48767]) ).
thf(f48781,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_142
| ~ spl2_160
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f48774,f3721]) ).
thf(f48783,plain,
( spl2_400
| ~ spl2_142
| ~ spl2_160
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f48781,f19401,f4112,f3720,f20252]) ).
thf(f48786,plain,
( spl2_45
| spl2_135
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f48515,f209,f3513,f519]) ).
thf(f48810,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_131 ),
inference(constrained_superposition,[],[f47918,f3176]) ).
thf(f48812,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f29,f3176]) ).
thf(f48816,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_123
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f48810]) ).
thf(f48819,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f48812]) ).
thf(f48821,plain,
( spl2_162
| ~ spl2_123
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f48816,f3445,f3175,f4124]) ).
thf(f49035,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_425 ),
inference(constrained_superposition,[],[f48271,f180]) ).
thf(f49038,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_425 ),
inference(constrained_superposition,[],[f48271,f1974]) ).
thf(f49041,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f49038]) ).
thf(f49045,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_425 ),
inference(trivial_inequality_removal,[],[f49035]) ).
thf(f49052,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_142 ),
inference(constrained_superposition,[],[f47498,f49]) ).
thf(f49055,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_142 ),
inference(trivial_inequality_removal,[],[f49052]) ).
thf(f49062,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_142
| spl2_190 ),
inference(forward_subsumption_resolution,[],[f49055,f5721]) ).
thf(f49065,plain,
( spl2_325
| ~ spl2_142
| spl2_190 ),
inference(avatar_split_clause,[],[f49062,f5720,f3720,f18219]) ).
thf(f49084,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_325
| ~ spl2_350 ),
inference(constrained_superposition,[],[f18220,f18695]) ).
thf(f49094,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_325
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f49084]) ).
thf(f49100,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_131
| ~ spl2_325
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f49094,f3446]) ).
thf(f49101,plain,
( spl2_251
| ~ spl2_131
| ~ spl2_325
| ~ spl2_350 ),
inference(avatar_split_clause,[],[f49100,f18694,f18219,f3445,f12095]) ).
thf(f49104,plain,
( spl2_421
| spl2_511
| ~ spl2_34
| spl2_425 ),
inference(avatar_split_clause,[],[f49041,f20862,f355,f37913,f20734]) ).
thf(f49152,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_142 ),
inference(constrained_superposition,[],[f40654,f50]) ).
thf(f49154,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_142 ),
inference(trivial_inequality_removal,[],[f49152]) ).
thf(f49156,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_117
| spl2_142 ),
inference(forward_subsumption_resolution,[],[f49154,f18539]) ).
thf(f49162,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_117
| spl2_142 ),
inference(constrained_superposition,[],[f431,f49156]) ).
thf(f49164,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_99
| spl2_117
| spl2_142 ),
inference(constrained_superposition,[],[f2326,f49156]) ).
thf(f49165,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| spl2_117
| spl2_142 ),
inference(constrained_superposition,[],[f170,f49156]) ).
thf(f49166,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_117
| spl2_142 ),
inference(constrained_superposition,[],[f98,f49156]) ).
thf(f49167,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_117
| spl2_142 ),
inference(constrained_superposition,[],[f1349,f49156]) ).
thf(f49169,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| spl2_117
| spl2_142 ),
inference(constrained_superposition,[],[f56,f49156]) ).
thf(f49179,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_117
| spl2_142 ),
inference(duplicate_literal_removal,[],[f49162]) ).
thf(f49180,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_117
| spl2_142 ),
inference(trivial_inequality_removal,[],[f49179]) ).
thf(f49181,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| spl2_117
| spl2_142 ),
inference(trivial_inequality_removal,[],[f49169]) ).
thf(f49183,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_99
| spl2_117
| spl2_142 ),
inference(trivial_inequality_removal,[],[f49164]) ).
thf(f49184,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_117
| spl2_142 ),
inference(trivial_inequality_removal,[],[f49167]) ).
thf(f49188,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_117
| spl2_142 ),
inference(trivial_inequality_removal,[],[f49166]) ).
thf(f49190,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| spl2_117
| spl2_142 ),
inference(trivial_inequality_removal,[],[f49165]) ).
thf(f49195,plain,
( spl2_367
| spl2_537
| spl2_117
| spl2_142 ),
inference(avatar_split_clause,[],[f49180,f3720,f2877,f47364,f19067]) ).
thf(f49196,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_99
| spl2_117
| spl2_142 ),
inference(forward_subsumption_resolution,[],[f49183,f511]) ).
thf(f49199,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_16
| ~ spl2_18
| ~ spl2_99
| spl2_117
| spl2_142 ),
inference(forward_subsumption_resolution,[],[f49196,f7931]) ).
thf(f49201,plain,
( spl2_384
| ~ spl2_16
| ~ spl2_18
| ~ spl2_99
| spl2_117
| spl2_142 ),
inference(avatar_split_clause,[],[f49199,f3720,f2877,f2325,f209,f202,f19932]) ).
thf(f49218,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_161
| ~ spl2_421 ),
inference(constrained_superposition,[],[f4120,f20735]) ).
thf(f49223,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_123
| ~ spl2_421 ),
inference(constrained_superposition,[],[f48819,f20735]) ).
thf(f49226,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f49223]) ).
thf(f49233,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_161
| ~ spl2_421 ),
inference(trivial_inequality_removal,[],[f49218]) ).
thf(f49239,plain,
( ~ spl2_492
| spl2_538
| ~ spl2_123
| ~ spl2_421 ),
inference(avatar_split_clause,[],[f49226,f20734,f3175,f47784,f35560]) ).
thf(f49256,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_494 ),
inference(constrained_superposition,[],[f98,f36216]) ).
thf(f49257,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_494 ),
inference(constrained_superposition,[],[f1349,f36216]) ).
thf(f49258,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_494 ),
inference(constrained_superposition,[],[f1313,f36216]) ).
thf(f49259,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_494 ),
inference(constrained_superposition,[],[f56,f36216]) ).
thf(f49274,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f49259]) ).
thf(f49277,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f49257]) ).
thf(f49279,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 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f49258]) ).
thf(f49283,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f49256]) ).
thf(f49331,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_482 ),
inference(constrained_superposition,[],[f27062,f90]) ).
thf(f49335,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_482 ),
inference(trivial_inequality_removal,[],[f49331]) ).
thf(f49339,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_482 ),
inference(forward_subsumption_resolution,[],[f49335,f21466]) ).
thf(f49340,plain,
( spl2_384
| ~ spl2_25
| ~ spl2_482 ),
inference(avatar_split_clause,[],[f49339,f27061,f273,f19932]) ).
thf(f49342,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_421
| ~ spl2_520 ),
inference(constrained_superposition,[],[f40140,f20735]) ).
thf(f49349,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_421
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f49342]) ).
thf(f49353,plain,
( $false
| ~ spl2_418
| ~ spl2_421
| ~ spl2_520 ),
inference(forward_subsumption_resolution,[],[f49349,f20723]) ).
thf(f49354,plain,
( ~ spl2_418
| ~ spl2_421
| ~ spl2_520 ),
inference(avatar_contradiction_clause,[],[f49353]) ).
thf(f49357,plain,
( spl2_424
| ~ spl2_452
| ~ spl2_161
| ~ spl2_421 ),
inference(avatar_split_clause,[],[f49233,f20734,f4119,f21479,f20802]) ).
thf(f49358,plain,
( ~ spl2_16
| spl2_384
| spl2_525
| spl2_117
| spl2_142 ),
inference(avatar_split_clause,[],[f49190,f3720,f2877,f40729,f19932,f202]) ).
thf(f49359,plain,
( spl2_452
| spl2_20
| ~ spl2_16
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f49283,f36215,f202,f216,f21479]) ).
thf(f49360,plain,
( ~ spl2_16
| spl2_20
| spl2_450
| spl2_117
| spl2_142 ),
inference(avatar_split_clause,[],[f49188,f3720,f2877,f21471,f216,f202]) ).
thf(f49381,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_329 ),
inference(constrained_superposition,[],[f195,f18241]) ).
thf(f49400,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f49381]) ).
thf(f49411,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_142
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f49400,f40654]) ).
thf(f49412,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_25
| spl2_142
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f49411,f21466]) ).
thf(f49413,plain,
( spl2_24
| ~ spl2_25
| spl2_142
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f49412,f18240,f3720,f273,f270]) ).
thf(f49430,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f170,f18762]) ).
thf(f49442,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f49430]) ).
thf(f49454,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_116
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f49442,f37920]) ).
thf(f49456,plain,
( ~ spl2_378
| spl2_395
| spl2_116
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f49454,f18761,f2874,f20171,f19405]) ).
thf(f49515,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_537 ),
inference(constrained_superposition,[],[f47365,f48]) ).
thf(f49516,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_329
| ~ spl2_537 ),
inference(constrained_superposition,[],[f47365,f18241]) ).
thf(f49517,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_537 ),
inference(constrained_superposition,[],[f47365,f89]) ).
thf(f49526,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_537 ),
inference(trivial_inequality_removal,[],[f49517]) ).
thf(f49528,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_537 ),
inference(trivial_inequality_removal,[],[f49515]) ).
thf(f49531,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_329
| ~ spl2_537 ),
inference(trivial_inequality_removal,[],[f49516]) ).
thf(f49532,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_25
| ~ spl2_537 ),
inference(forward_subsumption_resolution,[],[f49526,f21466]) ).
thf(f49533,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_399
| ~ spl2_537 ),
inference(forward_subsumption_resolution,[],[f49528,f20246]) ).
thf(f49534,plain,
( $false
| ~ spl2_25
| ~ spl2_329
| ~ spl2_537 ),
inference(forward_subsumption_resolution,[],[f49531,f21466]) ).
thf(f49535,plain,
( ~ spl2_25
| ~ spl2_329
| ~ spl2_537 ),
inference(avatar_contradiction_clause,[],[f49534]) ).
thf(f49536,plain,
( $false
| ~ spl2_25
| spl2_450
| ~ spl2_537 ),
inference(forward_subsumption_resolution,[],[f49532,f25117]) ).
thf(f49537,plain,
( ~ spl2_25
| spl2_450
| ~ spl2_537 ),
inference(avatar_contradiction_clause,[],[f49536]) ).
thf(f49538,plain,
( ~ spl2_29
| spl2_399
| ~ spl2_537 ),
inference(avatar_split_clause,[],[f49533,f47364,f20245,f287]) ).
thf(f49567,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3470,f3176]) ).
thf(f49569,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_132
| ~ spl2_377 ),
inference(constrained_superposition,[],[f3470,f19402]) ).
thf(f49576,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_132
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f49569]) ).
thf(f49578,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f49567]) ).
thf(f49581,plain,
( spl2_407
| ~ spl2_132
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f49576,f19401,f3469,f20609]) ).
thf(f49583,plain,
( spl2_107
| ~ spl2_123
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f49578,f3469,f3175,f2760]) ).
thf(f49586,plain,
( spl2_530
| spl2_418
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f49279,f36215,f20722,f41683]) ).
thf(f49587,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_422
| ~ spl2_494 ),
inference(forward_subsumption_resolution,[],[f49277,f20793]) ).
thf(f49591,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| spl2_117
| spl2_142
| spl2_399 ),
inference(forward_subsumption_resolution,[],[f49181,f20246]) ).
thf(f49593,plain,
( spl2_47
| spl2_409
| ~ spl2_45
| ~ spl2_411 ),
inference(avatar_split_clause,[],[f48288,f20644,f519,f20617,f526]) ).
thf(f49594,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_117
| spl2_142
| spl2_399 ),
inference(forward_subsumption_resolution,[],[f49184,f20246]) ).
thf(f49595,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| spl2_422
| ~ spl2_494 ),
inference(forward_subsumption_resolution,[],[f49274,f20793]) ).
thf(f49596,plain,
( spl2_418
| ~ spl2_18
| spl2_422
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f49587,f36215,f20792,f209,f20722]) ).
thf(f49598,plain,
( spl2_19
| ~ spl2_18
| spl2_117
| spl2_142
| spl2_399 ),
inference(avatar_split_clause,[],[f49591,f20245,f3720,f2877,f209,f212]) ).
thf(f49600,plain,
( ~ spl2_18
| spl2_326
| spl2_117
| spl2_142
| spl2_399 ),
inference(avatar_split_clause,[],[f49594,f20245,f3720,f2877,f18223,f209]) ).
thf(f49601,plain,
( spl2_19
| ~ spl2_18
| spl2_422
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f49595,f36215,f20792,f209,f212]) ).
thf(f49617,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_39 ),
inference(constrained_superposition,[],[f48134,f49]) ).
thf(f49625,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_39 ),
inference(trivial_inequality_removal,[],[f49617]) ).
thf(f49627,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_8
| ~ spl2_39 ),
inference(forward_subsumption_resolution,[],[f49625,f104]) ).
thf(f49628,plain,
( spl2_468
| spl2_8
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f49627,f492,f103,f25114]) ).
thf(f50156,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_510 ),
inference(constrained_superposition,[],[f37910,f1974]) ).
thf(f50163,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_510 ),
inference(trivial_inequality_removal,[],[f50156]) ).
thf(f50329,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_411
| ~ spl2_504 ),
inference(constrained_superposition,[],[f37573,f20645]) ).
thf(f50339,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_411
| ~ spl2_504 ),
inference(trivial_inequality_removal,[],[f50329]) ).
thf(f50344,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_411
| ~ spl2_421
| ~ spl2_504 ),
inference(constrained_superposition,[],[f50339,f20735]) ).
thf(f50354,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_411
| ~ spl2_421
| ~ spl2_504 ),
inference(trivial_inequality_removal,[],[f50344]) ).
thf(f50359,plain,
( $false
| ~ spl2_411
| ~ spl2_421
| ~ spl2_504 ),
inference(forward_subsumption_resolution,[],[f50354,f20645]) ).
thf(f50360,plain,
( ~ spl2_411
| ~ spl2_421
| ~ spl2_504 ),
inference(avatar_contradiction_clause,[],[f50359]) ).
thf(f50364,plain,
( spl2_421
| ~ spl2_127
| ~ spl2_510 ),
inference(avatar_split_clause,[],[f50163,f37909,f3425,f20734]) ).
thf(f50392,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_150 ),
inference(constrained_superposition,[],[f195,f26482]) ).
thf(f50398,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_150 ),
inference(constrained_superposition,[],[f1313,f26482]) ).
thf(f50399,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_150 ),
inference(constrained_superposition,[],[f56,f26482]) ).
thf(f50400,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_150 ),
inference(constrained_superposition,[],[f28,f26482]) ).
thf(f50406,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f50392]) ).
thf(f50408,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f50399]) ).
thf(f50409,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f50400]) ).
thf(f50418,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f50398]) ).
thf(f50424,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_127 ),
inference(constrained_superposition,[],[f3426,f23]) ).
thf(f50425,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_127 ),
inference(trivial_inequality_removal,[],[f50424]) ).
thf(f50428,plain,
( spl2_131
| spl2_121
| spl2_127 ),
inference(avatar_split_clause,[],[f50425,f3425,f3169,f3445]) ).
thf(f50432,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_131 ),
inference(constrained_superposition,[],[f29,f3446]) ).
thf(f50433,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f50432]) ).
thf(f50445,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_329 ),
inference(constrained_superposition,[],[f195,f18241]) ).
thf(f50472,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f50445]) ).
thf(f50475,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_25
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f50472,f21466]) ).
thf(f50476,plain,
( spl2_142
| spl2_24
| ~ spl2_25
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f50475,f18240,f273,f270,f3720]) ).
thf(f50502,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_112 ),
inference(constrained_superposition,[],[f56,f38020]) ).
thf(f50515,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f50502]) ).
thf(f50520,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_45
| ~ spl2_112 ),
inference(forward_subsumption_resolution,[],[f50515,f528]) ).
thf(f50522,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| spl2_45
| ~ spl2_112
| ~ spl2_113 ),
inference(forward_subsumption_resolution,[],[f50520,f2917]) ).
thf(f50523,plain,
( spl2_147
| spl2_45
| ~ spl2_112
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f50522,f2859,f2855,f519,f3796]) ).
thf(f50546,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_418 ),
inference(constrained_superposition,[],[f29,f20723]) ).
thf(f50547,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_418 ),
inference(trivial_inequality_removal,[],[f50546]) ).
thf(f50565,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_147 ),
inference(constrained_superposition,[],[f3797,f181]) ).
thf(f50575,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f50565]) ).
thf(f50583,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_131
| ~ spl2_265 ),
inference(constrained_superposition,[],[f13707,f3446]) ).
thf(f50585,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_131
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f50583]) ).
thf(f50636,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_151 ),
inference(constrained_superposition,[],[f3817,f180]) ).
thf(f50639,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f50636]) ).
thf(f50726,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_150 ),
inference(constrained_superposition,[],[f50409,f48]) ).
thf(f50730,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_150 ),
inference(constrained_superposition,[],[f50409,f180]) ).
thf(f50737,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f50726]) ).
thf(f50738,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f50730]) ).
thf(f51059,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_411
| ~ spl2_418 ),
inference(constrained_superposition,[],[f50547,f20645]) ).
thf(f51066,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_411
| ~ spl2_418 ),
inference(trivial_inequality_removal,[],[f51059]) ).
thf(f51073,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_46
| ~ spl2_113 ),
inference(constrained_superposition,[],[f523,f2917]) ).
thf(f51077,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_46
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f51073]) ).
thf(f51082,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_131
| ~ spl2_377 ),
inference(constrained_superposition,[],[f50433,f19402]) ).
thf(f51086,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_131 ),
inference(constrained_superposition,[],[f50433,f49]) ).
thf(f51090,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f51086]) ).
thf(f51094,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_131
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f51082]) ).
thf(f51099,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_131
| ~ spl2_350
| ~ spl2_377 ),
inference(constrained_superposition,[],[f51094,f18695]) ).
thf(f51100,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_131
| ~ spl2_367
| ~ spl2_377 ),
inference(constrained_superposition,[],[f51094,f19068]) ).
thf(f51106,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_131
| ~ spl2_367
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f51100]) ).
thf(f51109,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_131
| ~ spl2_350
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f51099]) ).
thf(f51112,plain,
( spl2_314
| ~ spl2_131
| ~ spl2_350
| ~ spl2_377 ),
inference(avatar_split_clause,[],[f51109,f19401,f18694,f3445,f17195]) ).
thf(f51115,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_131
| ~ spl2_367
| ~ spl2_377 ),
inference(constrained_superposition,[],[f51106,f19402]) ).
thf(f51124,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_131
| ~ spl2_367
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f51115]) ).
thf(f51129,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_131
| ~ spl2_367
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f51124,f19068]) ).
thf(f51131,plain,
( $false
| ~ spl2_131
| ~ spl2_142
| ~ spl2_367
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f51129,f3721]) ).
thf(f51132,plain,
( ~ spl2_131
| ~ spl2_142
| ~ spl2_367
| ~ spl2_377 ),
inference(avatar_contradiction_clause,[],[f51131]) ).
thf(f51133,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_314
| ~ spl2_377 ),
inference(constrained_superposition,[],[f17196,f19402]) ).
thf(f51143,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_314
| ~ spl2_377 ),
inference(trivial_inequality_removal,[],[f51133]) ).
thf(f51147,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_314
| ~ spl2_350
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f51143,f18695]) ).
thf(f51150,plain,
( $false
| ~ spl2_142
| ~ spl2_314
| ~ spl2_350
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f51147,f3721]) ).
thf(f51151,plain,
( ~ spl2_142
| ~ spl2_314
| ~ spl2_350
| ~ spl2_377 ),
inference(avatar_contradiction_clause,[],[f51150]) ).
thf(f51152,plain,
( ~ spl2_18
| spl2_123
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f50575,f3796,f3175,f209]) ).
thf(f51153,plain,
( ~ spl2_45
| ~ spl2_131
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f50585,f13706,f3445,f519]) ).
thf(f51156,plain,
( ~ spl2_45
| spl2_47
| ~ spl2_411
| ~ spl2_418 ),
inference(avatar_split_clause,[],[f51066,f20722,f20644,f526,f519]) ).
thf(f51158,plain,
( spl2_123
| spl2_147
| ~ spl2_46
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f51077,f2859,f522,f3796,f3175]) ).
thf(f51159,plain,
( spl2_492
| spl2_510
| ~ spl2_16
| spl2_425 ),
inference(avatar_split_clause,[],[f49045,f20862,f202,f37909,f35560]) ).
thf(f51163,plain,
( spl2_377
| ~ spl2_34
| ~ spl2_112
| ~ spl2_457 ),
inference(avatar_split_clause,[],[f47166,f22421,f2855,f355,f19401]) ).
thf(f51191,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_16 ),
inference(constrained_superposition,[],[f203,f23]) ).
thf(f51193,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_16 ),
inference(trivial_inequality_removal,[],[f51191]) ).
thf(f51194,plain,
( spl2_22
| spl2_23
| spl2_16 ),
inference(avatar_split_clause,[],[f51193,f202,f237,f234]) ).
thf(f51196,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_22
| ~ spl2_320 ),
inference(constrained_superposition,[],[f18019,f235]) ).
thf(f51199,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f51196]) ).
thf(f51203,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_22
| ~ spl2_39
| ~ spl2_320 ),
inference(forward_subsumption_resolution,[],[f51199,f501]) ).
thf(f51204,plain,
( spl2_42
| ~ spl2_22
| ~ spl2_39
| ~ spl2_320 ),
inference(avatar_split_clause,[],[f51203,f18018,f492,f234,f504]) ).
thf(f51206,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_25 ),
inference(constrained_superposition,[],[f274,f23]) ).
thf(f51207,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_25 ),
inference(trivial_inequality_removal,[],[f51206]) ).
thf(f51209,plain,
( spl2_31
| spl2_23
| spl2_25 ),
inference(avatar_split_clause,[],[f51207,f273,f237,f305]) ).
thf(f51227,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(constrained_superposition,[],[f37920,f50]) ).
thf(f51229,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f51227]) ).
thf(f51231,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_116 ),
inference(forward_subsumption_resolution,[],[f51229,f39]) ).
thf(f51236,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_116 ),
inference(constrained_superposition,[],[f28,f51231]) ).
thf(f51241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f51236]) ).
thf(f51252,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_112 ),
inference(constrained_superposition,[],[f2856,f23]) ).
thf(f51253,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_112 ),
inference(trivial_inequality_removal,[],[f51252]) ).
thf(f51256,plain,
( spl2_121
| spl2_123
| spl2_112 ),
inference(avatar_split_clause,[],[f51253,f2855,f3175,f3169]) ).
thf(f51366,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_142 ),
inference(constrained_superposition,[],[f29,f3721]) ).
thf(f51368,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_142 ),
inference(trivial_inequality_removal,[],[f51366]) ).
thf(f51422,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_492 ),
inference(constrained_superposition,[],[f35561,f50]) ).
thf(f51425,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_492 ),
inference(trivial_inequality_removal,[],[f51422]) ).
thf(f51427,plain,
( spl2_494
| spl2_349
| spl2_492 ),
inference(avatar_split_clause,[],[f51425,f35560,f18690,f36215]) ).
thf(f51511,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f170,f18620]) ).
thf(f51537,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f51511]) ).
thf(f51541,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_347
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f51537,f30484]) ).
thf(f51542,plain,
( ~ spl2_378
| spl2_426
| ~ spl2_347
| spl2_425 ),
inference(avatar_split_clause,[],[f51541,f20862,f18619,f20865,f19405]) ).
thf(f51619,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_426
| ~ spl2_494 ),
inference(constrained_superposition,[],[f20866,f36216]) ).
thf(f51620,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_426 ),
inference(constrained_superposition,[],[f20866,f180]) ).
thf(f51626,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_426
| ~ spl2_494 ),
inference(trivial_inequality_removal,[],[f51619]) ).
thf(f51630,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_426 ),
inference(trivial_inequality_removal,[],[f51620]) ).
thf(f51633,plain,
( ~ spl2_143
| ~ spl2_426
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f51626,f36215,f20865,f3723]) ).
thf(f51634,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_426
| spl2_492 ),
inference(forward_subsumption_resolution,[],[f51630,f35561]) ).
thf(f51635,plain,
( ~ spl2_143
| ~ spl2_426
| spl2_492 ),
inference(avatar_split_clause,[],[f51634,f35560,f20865,f3723]) ).
thf(f51636,plain,
( spl2_113
| spl2_539
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f51090,f3445,f48763,f2859]) ).
thf(f51637,plain,
( spl2_292
| spl2_134
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f50418,f3813,f3509,f16235]) ).
thf(f51640,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_131
| ~ spl2_134 ),
inference(constrained_superposition,[],[f50433,f3510]) ).
thf(f51648,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_131
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f51640]) ).
thf(f51650,plain,
( spl2_539
| ~ spl2_131
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f51648,f3509,f3445,f48763]) ).
thf(f51801,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_421 ),
inference(constrained_superposition,[],[f37570,f50]) ).
thf(f51804,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_421 ),
inference(trivial_inequality_removal,[],[f51801]) ).
thf(f51806,plain,
( spl2_506
| spl2_365
| spl2_421 ),
inference(avatar_split_clause,[],[f51804,f20734,f18833,f37585]) ).
thf(f51813,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 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_506 ),
inference(constrained_superposition,[],[f98,f37586]) ).
thf(f51836,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_506 ),
inference(trivial_inequality_removal,[],[f51813]) ).
thf(f51910,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_465 ),
inference(constrained_superposition,[],[f24305,f89]) ).
thf(f51915,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_465 ),
inference(trivial_inequality_removal,[],[f51910]) ).
thf(f51937,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_134
| ~ spl2_539 ),
inference(constrained_superposition,[],[f48764,f3510]) ).
thf(f51939,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_539 ),
inference(constrained_superposition,[],[f48764,f49]) ).
thf(f51942,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_539 ),
inference(duplicate_literal_removal,[],[f51939]) ).
thf(f51943,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_539 ),
inference(trivial_inequality_removal,[],[f51942]) ).
thf(f51945,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_134
| ~ spl2_539 ),
inference(duplicate_literal_removal,[],[f51937]) ).
thf(f51946,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_134
| ~ spl2_539 ),
inference(trivial_inequality_removal,[],[f51945]) ).
thf(f51991,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_501 ),
inference(constrained_superposition,[],[f37444,f49]) ).
thf(f51997,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_501 ),
inference(duplicate_literal_removal,[],[f51991]) ).
thf(f51998,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_501 ),
inference(trivial_inequality_removal,[],[f51997]) ).
thf(f52005,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_97
| ~ spl2_501 ),
inference(forward_subsumption_resolution,[],[f51998,f2321]) ).
thf(f52008,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_97
| spl2_190
| ~ spl2_501 ),
inference(forward_subsumption_resolution,[],[f52005,f5721]) ).
thf(f52010,plain,
( spl2_96
| ~ spl2_97
| spl2_190
| ~ spl2_501 ),
inference(avatar_split_clause,[],[f52008,f37443,f5720,f2315,f2312]) ).
thf(f52082,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f73,f20863]) ).
thf(f52083,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f29,f20863]) ).
thf(f52085,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f52083]) ).
thf(f52086,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f52082]) ).
thf(f52118,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f98,f18620]) ).
thf(f52129,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f52118]) ).
thf(f52170,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_325 ),
inference(constrained_superposition,[],[f18220,f49]) ).
thf(f52173,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_325 ),
inference(duplicate_literal_removal,[],[f52170]) ).
thf(f52174,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f52173]) ).
thf(f52189,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_330 ),
inference(constrained_superposition,[],[f18245,f1974]) ).
thf(f52192,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f52189]) ).
thf(f52236,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_441 ),
inference(constrained_superposition,[],[f21410,f89]) ).
thf(f52247,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_441 ),
inference(trivial_inequality_removal,[],[f52236]) ).
thf(f52290,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| spl2_116 ),
inference(constrained_superposition,[],[f51241,f48]) ).
thf(f52291,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_116
| ~ spl2_150 ),
inference(constrained_superposition,[],[f51241,f26482]) ).
thf(f52298,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_116 ),
inference(trivial_inequality_removal,[],[f52290]) ).
thf(f52299,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_116
| ~ spl2_150 ),
inference(duplicate_literal_removal,[],[f52291]) ).
thf(f52300,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_116
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f52299]) ).
thf(f52305,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_116
| spl2_156 ),
inference(forward_subsumption_resolution,[],[f52298,f4094]) ).
thf(f52307,plain,
( spl2_292
| spl2_116
| spl2_156 ),
inference(avatar_split_clause,[],[f52305,f4093,f2874,f16235]) ).
thf(f52313,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_116
| ~ spl2_150 ),
inference(constrained_superposition,[],[f52300,f180]) ).
thf(f52317,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_116
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f52313]) ).
thf(f52351,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f52085,f49]) ).
thf(f52357,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f52351]) ).
thf(f52425,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_142
| ~ spl2_350 ),
inference(constrained_superposition,[],[f51368,f18695]) ).
thf(f52435,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_142
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f52425]) ).
thf(f52437,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_142
| ~ spl2_350 ),
inference(constrained_superposition,[],[f52435,f18695]) ).
thf(f52446,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_142
| ~ spl2_350 ),
inference(duplicate_literal_removal,[],[f52437]) ).
thf(f52447,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_142
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f52446]) ).
thf(f52450,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_131
| ~ spl2_142
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f52447,f3446]) ).
thf(f52451,plain,
( ( $true != $true )
| ~ spl2_123
| ~ spl2_131
| ~ spl2_142
| ~ spl2_350 ),
inference(constrained_superposition,[],[f52450,f3176]) ).
thf(f52452,plain,
( ( $true != $true )
| ~ spl2_131
| ~ spl2_134
| ~ spl2_142
| ~ spl2_350 ),
inference(constrained_superposition,[],[f52450,f3510]) ).
thf(f52454,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_131
| ~ spl2_142
| ~ spl2_350 ),
inference(constrained_superposition,[],[f52450,f49]) ).
thf(f52459,plain,
( $false
| ~ spl2_123
| ~ spl2_131
| ~ spl2_142
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f52451]) ).
thf(f52460,plain,
( ~ spl2_123
| ~ spl2_131
| ~ spl2_142
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f52459]) ).
thf(f52461,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_131
| ~ spl2_142
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f52454]) ).
thf(f52462,plain,
( $false
| ~ spl2_131
| ~ spl2_134
| ~ spl2_142
| ~ spl2_350 ),
inference(trivial_inequality_removal,[],[f52452]) ).
thf(f52463,plain,
( ~ spl2_131
| ~ spl2_134
| ~ spl2_142
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f52462]) ).
thf(f52466,plain,
( $false
| spl2_113
| ~ spl2_131
| ~ spl2_142
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f52461,f2860]) ).
thf(f52467,plain,
( spl2_113
| ~ spl2_131
| ~ spl2_142
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f52466]) ).
thf(f52469,plain,
( spl2_131
| ~ spl2_16
| spl2_116
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f52317,f3813,f2874,f202,f3445]) ).
thf(f52470,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_25
| ~ spl2_150 ),
inference(forward_subsumption_resolution,[],[f50406,f21466]) ).
thf(f52471,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_25
| ~ spl2_151 ),
inference(forward_subsumption_resolution,[],[f50639,f21466]) ).
thf(f52472,plain,
( ~ spl2_16
| spl2_131
| spl2_20
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f50738,f3813,f216,f3445,f202]) ).
thf(f52478,plain,
( spl2_452
| spl2_396
| ~ spl2_378
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f52129,f18619,f19405,f20175,f21479]) ).
thf(f52480,plain,
( spl2_24
| spl2_131
| ~ spl2_25
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f52470,f3813,f273,f3445,f270]) ).
thf(f52481,plain,
( spl2_131
| ~ spl2_25
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f52471,f3816,f273,f3445]) ).
thf(f52482,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| spl2_113
| ~ spl2_539 ),
inference(forward_subsumption_resolution,[],[f51943,f2860]) ).
thf(f52483,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_150
| spl2_156 ),
inference(forward_subsumption_resolution,[],[f50737,f4094]) ).
thf(f52485,plain,
( spl2_42
| spl2_409
| ~ spl2_39
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f52086,f20862,f492,f20617,f504]) ).
thf(f52486,plain,
( spl2_377
| ~ spl2_34
| spl2_146
| ~ spl2_330 ),
inference(avatar_split_clause,[],[f52192,f18244,f3788,f355,f19401]) ).
thf(f52488,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_150
| ~ spl2_465 ),
inference(forward_subsumption_resolution,[],[f51915,f26482]) ).
thf(f52492,plain,
( spl2_452
| ~ spl2_8
| ~ spl2_329
| ~ spl2_441 ),
inference(avatar_split_clause,[],[f52247,f21409,f18240,f103,f21479]) ).
thf(f52496,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_150
| spl2_156 ),
inference(forward_subsumption_resolution,[],[f50408,f4094]) ).
thf(f52499,plain,
( ~ spl2_50
| spl2_96
| ~ spl2_134
| ~ spl2_539 ),
inference(avatar_split_clause,[],[f51946,f48763,f3509,f2312,f541]) ).
thf(f52504,plain,
( spl2_140
| ~ spl2_97
| spl2_409
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f52357,f20862,f20617,f2315,f3537]) ).
thf(f52505,plain,
( spl2_146
| ~ spl2_34
| spl2_452
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f51836,f37585,f21479,f355,f3788]) ).
thf(f52506,plain,
( ~ spl2_50
| spl2_96
| spl2_190
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f52174,f18219,f5720,f2312,f541]) ).
thf(f52507,plain,
( spl2_96
| ~ spl2_50
| spl2_113
| ~ spl2_539 ),
inference(avatar_split_clause,[],[f52482,f48763,f2859,f541,f2312]) ).
thf(f52508,plain,
( ~ spl2_11
| spl2_10
| ~ spl2_150
| spl2_156 ),
inference(avatar_split_clause,[],[f52483,f4093,f3813,f130,f133]) ).
thf(f52510,plain,
( ~ spl2_8
| spl2_450
| ~ spl2_150
| ~ spl2_465 ),
inference(avatar_split_clause,[],[f52488,f24304,f3813,f21471,f103]) ).
thf(f52514,plain,
( ~ spl2_8
| spl2_9
| ~ spl2_150
| spl2_156 ),
inference(avatar_split_clause,[],[f52496,f4093,f3813,f106,f103]) ).
cnf(s3,plain,
( spl2_7
| ~ spl2_8
| spl2_9 ),
inference(sat_conversion,[],[f108]) ).
cnf(s4,plain,
( spl2_7
| spl2_10
| ~ spl2_11 ),
inference(sat_conversion,[],[f135]) ).
cnf(s5,plain,
( ~ spl2_12
| spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s7,plain,
( spl2_17
| ~ spl2_18
| spl2_19 ),
inference(sat_conversion,[],[f214]) ).
cnf(s8,plain,
( ~ spl2_16
| spl2_20
| spl2_21 ),
inference(sat_conversion,[],[f221]) ).
cnf(s9,plain,
( spl2_16
| spl2_22
| spl2_23 ),
inference(sat_conversion,[],[f239]) ).
cnf(s11,plain,
( ~ spl2_26
| spl2_27
| spl2_28 ),
inference(sat_conversion,[],[f285]) ).
cnf(s12,plain,
( spl2_17
| ~ spl2_29
| spl2_30 ),
inference(sat_conversion,[],[f292]) ).
cnf(s22,plain,
( spl2_22
| spl2_37 ),
inference(sat_conversion,[],[f441]) ).
cnf(s24,plain,
( ~ spl2_11
| spl2_38 ),
inference(sat_conversion,[],[f489]) ).
cnf(s25,plain,
( ~ spl2_22
| spl2_29
| ~ spl2_39
| spl2_40 ),
inference(sat_conversion,[],[f497]) ).
cnf(s26,plain,
( spl2_39
| spl2_41 ),
inference(sat_conversion,[],[f502]) ).
cnf(s30,plain,
( spl2_18
| ~ spl2_20
| spl2_44 ),
inference(sat_conversion,[],[f516]) ).
cnf(s31,plain,
( spl2_45
| spl2_46 ),
inference(sat_conversion,[],[f524]) ).
cnf(s33,plain,
( spl2_8
| spl2_18
| ~ spl2_21
| spl2_48 ),
inference(sat_conversion,[],[f533]) ).
cnf(s37,plain,
( ~ spl2_20
| spl2_39
| spl2_50 ),
inference(sat_conversion,[],[f543]) ).
cnf(s38,plain,
( ~ spl2_18
| spl2_31
| spl2_51 ),
inference(sat_conversion,[],[f585]) ).
cnf(s43,plain,
~ spl2_23,
inference(sat_conversion,[],[f633]) ).
cnf(s44,plain,
( spl2_18
| spl2_50 ),
inference(sat_conversion,[],[f637]) ).
cnf(s47,plain,
~ spl2_33,
inference(sat_conversion,[],[f689]) ).
cnf(s48,plain,
( ~ spl2_8
| ~ spl2_18
| spl2_20
| spl2_22 ),
inference(sat_conversion,[],[f731]) ).
cnf(s58,plain,
( ~ spl2_22
| ~ spl2_39
| spl2_40
| ~ spl2_45 ),
inference(sat_conversion,[],[f911]) ).
cnf(s59,plain,
( ~ spl2_22
| ~ spl2_39
| spl2_40
| ~ spl2_45 ),
inference(sat_conversion,[],[f912]) ).
cnf(s60,plain,
( spl2_11
| spl2_39 ),
inference(sat_conversion,[],[f914]) ).
cnf(s62,plain,
( ~ spl2_24
| ~ spl2_45
| spl2_47
| spl2_60 ),
inference(sat_conversion,[],[f945]) ).
cnf(s64,plain,
( ~ spl2_22
| ~ spl2_45
| ~ spl2_47 ),
inference(sat_conversion,[],[f972]) ).
cnf(s66,plain,
( ~ spl2_7
| ~ spl2_17
| ~ spl2_31
| spl2_62
| spl2_64 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s70,plain,
( ~ spl2_22
| ~ spl2_31
| ~ spl2_67 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s82,plain,
( ~ spl2_7
| ~ spl2_17
| ~ spl2_22
| spl2_39
| ~ spl2_64
| spl2_75
| spl2_78 ),
inference(sat_conversion,[],[f1454]) ).
cnf(s85,plain,
( ~ spl2_22
| ~ spl2_40
| spl2_79 ),
inference(sat_conversion,[],[f1478]) ).
cnf(s87,plain,
( ~ spl2_31
| ~ spl2_79 ),
inference(sat_conversion,[],[f1490]) ).
cnf(s107,plain,
( ~ spl2_22
| spl2_75
| ~ spl2_93 ),
inference(sat_conversion,[],[f2305]) ).
cnf(s111,plain,
( spl2_97
| spl2_99 ),
inference(sat_conversion,[],[f2327]) ).
cnf(s113,plain,
( ~ spl2_31
| ~ spl2_45
| spl2_47
| ~ spl2_97 ),
inference(sat_conversion,[],[f2456]) ).
cnf(s120,plain,
( ~ spl2_22
| ~ spl2_31
| ~ spl2_75 ),
inference(sat_conversion,[],[f2666]) ).
cnf(s137,plain,
( spl2_34
| spl2_116 ),
inference(sat_conversion,[],[f2880]) ).
cnf(s141,plain,
( spl2_33
| ~ spl2_116
| ~ spl2_117 ),
inference(sat_conversion,[],[f3092]) ).
cnf(s142,plain,
( spl2_33
| ~ spl2_68
| ~ spl2_117 ),
inference(sat_conversion,[],[f3096]) ).
cnf(s146,plain,
( ~ spl2_7
| spl2_33
| spl2_39
| ~ spl2_117 ),
inference(sat_conversion,[],[f3125]) ).
cnf(s149,plain,
( spl2_26
| spl2_71
| ~ spl2_117 ),
inference(sat_conversion,[],[f3130]) ).
cnf(s153,plain,
( spl2_12
| spl2_33
| ~ spl2_117 ),
inference(sat_conversion,[],[f3135]) ).
cnf(s155,plain,
( ~ spl2_8
| spl2_14
| spl2_33
| ~ spl2_117 ),
inference(sat_conversion,[],[f3140]) ).
cnf(s162,plain,
( spl2_112
| spl2_123 ),
inference(sat_conversion,[],[f3226]) ).
cnf(s169,plain,
( spl2_121
| spl2_127
| spl2_131 ),
inference(sat_conversion,[],[f3447]) ).
cnf(s170,plain,
( spl2_127
| spl2_131 ),
inference(sat_conversion,[],[f3449]) ).
cnf(s174,plain,
( spl2_75
| ~ spl2_116
| ~ spl2_132 ),
inference(sat_conversion,[],[f3495]) ).
cnf(s179,plain,
( spl2_63
| spl2_113
| ~ spl2_132 ),
inference(sat_conversion,[],[f3505]) ).
cnf(s183,plain,
( spl2_45
| spl2_50
| spl2_137 ),
inference(sat_conversion,[],[f3523]) ).
cnf(s188,plain,
( spl2_45
| ~ spl2_110
| spl2_134 ),
inference(sat_conversion,[],[f3541]) ).
cnf(s192,plain,
( ~ spl2_8
| spl2_39
| spl2_75
| spl2_117
| ~ spl2_132
| spl2_134 ),
inference(sat_conversion,[],[f3547]) ).
cnf(s213,plain,
( ~ spl2_8
| ~ spl2_113
| spl2_116
| spl2_146 ),
inference(sat_conversion,[],[f3790]) ).
cnf(s214,plain,
( ~ spl2_29
| ~ spl2_110
| ~ spl2_113 ),
inference(sat_conversion,[],[f3791]) ).
cnf(s215,plain,
( ~ spl2_8
| spl2_39
| ~ spl2_113
| spl2_116
| spl2_117 ),
inference(sat_conversion,[],[f3792]) ).
cnf(s216,plain,
( ~ spl2_98
| ~ spl2_113
| spl2_116 ),
inference(sat_conversion,[],[f3793]) ).
cnf(s219,plain,
( ~ spl2_18
| ~ spl2_113
| spl2_121
| spl2_122
| spl2_123 ),
inference(sat_conversion,[],[f3799]) ).
cnf(s220,plain,
( ~ spl2_31
| ~ spl2_35
| ~ spl2_131
| spl2_148 ),
inference(sat_conversion,[],[f3804]) ).
cnf(s222,plain,
( ~ spl2_22
| ~ spl2_35
| ~ spl2_131
| spl2_132 ),
inference(sat_conversion,[],[f3811]) ).
cnf(s225,plain,
( spl2_29
| spl2_45 ),
inference(sat_conversion,[],[f3825]) ).
cnf(s226,plain,
( spl2_29
| spl2_45 ),
inference(sat_conversion,[],[f3828]) ).
cnf(s227,plain,
( spl2_35
| spl2_150 ),
inference(sat_conversion,[],[f3856]) ).
cnf(s230,plain,
( ~ spl2_135
| spl2_137 ),
inference(sat_conversion,[],[f3897]) ).
cnf(s231,plain,
( ~ spl2_11
| ~ spl2_113
| ~ spl2_146 ),
inference(sat_conversion,[],[f3926]) ).
cnf(s232,plain,
( ~ spl2_113
| spl2_123
| ~ spl2_137 ),
inference(sat_conversion,[],[f3934]) ).
cnf(s242,plain,
( ~ spl2_7
| ~ spl2_17
| ~ spl2_31
| spl2_74
| ~ spl2_116
| spl2_156 ),
inference(sat_conversion,[],[f4109]) ).
cnf(s245,plain,
( ~ spl2_7
| ~ spl2_123
| spl2_156
| spl2_161 ),
inference(sat_conversion,[],[f4121]) ).
cnf(s251,plain,
( ~ spl2_7
| ~ spl2_17
| ~ spl2_22
| spl2_107
| ~ spl2_123
| spl2_156 ),
inference(sat_conversion,[],[f4140]) ).
cnf(s262,plain,
( spl2_154
| spl2_156 ),
inference(sat_conversion,[],[f4170]) ).
cnf(s264,plain,
( ~ spl2_123
| spl2_153
| ~ spl2_157 ),
inference(sat_conversion,[],[f4211]) ).
cnf(s265,plain,
( ~ spl2_116
| spl2_152
| ~ spl2_157 ),
inference(sat_conversion,[],[f4214]) ).
cnf(s268,plain,
( ~ spl2_19
| ~ spl2_113
| spl2_131 ),
inference(sat_conversion,[],[f4237]) ).
cnf(s273,plain,
( ~ spl2_22
| spl2_79
| ~ spl2_116
| ~ spl2_160 ),
inference(sat_conversion,[],[f4328]) ).
cnf(s277,plain,
( spl2_18
| ~ spl2_31
| spl2_70
| ~ spl2_97 ),
inference(sat_conversion,[],[f4342]) ).
cnf(s281,plain,
( ~ spl2_31
| spl2_82
| ~ spl2_123
| ~ spl2_161 ),
inference(sat_conversion,[],[f4409]) ).
cnf(s282,plain,
( ~ spl2_22
| ~ spl2_82 ),
inference(sat_conversion,[],[f4419]) ).
cnf(s283,plain,
( ~ spl2_50
| ~ spl2_82 ),
inference(sat_conversion,[],[f4422]) ).
cnf(s284,plain,
( spl2_18
| ~ spl2_82 ),
inference(sat_conversion,[],[f4431]) ).
cnf(s288,plain,
( ~ spl2_35
| ~ spl2_116
| spl2_118 ),
inference(sat_conversion,[],[f4501]) ).
cnf(s292,plain,
( ~ spl2_97
| ~ spl2_116
| ~ spl2_134
| spl2_140 ),
inference(sat_conversion,[],[f4618]) ).
cnf(s295,plain,
( ~ spl2_22
| ~ spl2_50
| ~ spl2_97
| spl2_140 ),
inference(sat_conversion,[],[f4622]) ).
cnf(s300,plain,
( ~ spl2_31
| ~ spl2_140
| spl2_173 ),
inference(sat_conversion,[],[f4686]) ).
cnf(s301,plain,
( spl2_96
| ~ spl2_97
| ~ spl2_140 ),
inference(sat_conversion,[],[f4687]) ).
cnf(s305,plain,
( ~ spl2_10
| ~ spl2_31
| spl2_93
| ~ spl2_96
| spl2_175 ),
inference(sat_conversion,[],[f4875]) ).
cnf(s306,plain,
( ~ spl2_10
| ~ spl2_35
| ~ spl2_96
| spl2_132
| spl2_176 ),
inference(sat_conversion,[],[f4879]) ).
cnf(s311,plain,
( ~ spl2_35
| ~ spl2_123
| spl2_161 ),
inference(sat_conversion,[],[f4944]) ).
cnf(s312,plain,
( ~ spl2_31
| spl2_93
| ~ spl2_116
| ~ spl2_123 ),
inference(sat_conversion,[],[f4946]) ).
cnf(s327,plain,
( spl2_23
| ~ spl2_30
| spl2_33
| ~ spl2_35
| ~ spl2_96
| ~ spl2_175 ),
inference(sat_conversion,[],[f5512]) ).
cnf(s345,plain,
( ~ spl2_7
| spl2_13
| ~ spl2_96 ),
inference(sat_conversion,[],[f5538]) ).
cnf(s368,plain,
( spl2_23
| ~ spl2_121 ),
inference(sat_conversion,[],[f5754]) ).
cnf(s369,plain,
( spl2_50
| spl2_192 ),
inference(sat_conversion,[],[f5759]) ).
cnf(s370,plain,
( ~ spl2_35
| ~ spl2_134
| spl2_172 ),
inference(sat_conversion,[],[f5760]) ).
cnf(s371,plain,
( ~ spl2_35
| spl2_113
| spl2_172 ),
inference(sat_conversion,[],[f5761]) ).
cnf(s376,plain,
( ~ spl2_22
| ~ spl2_31
| ~ spl2_71
| spl2_93 ),
inference(sat_conversion,[],[f5811]) ).
cnf(s382,plain,
( spl2_18
| ~ spl2_70
| spl2_96 ),
inference(sat_conversion,[],[f5903]) ).
cnf(s386,plain,
( ~ spl2_35
| ~ spl2_139
| ~ spl2_156 ),
inference(sat_conversion,[],[f5911]) ).
cnf(s389,plain,
( ~ spl2_22
| ~ spl2_70
| spl2_139 ),
inference(sat_conversion,[],[f5915]) ).
cnf(s393,plain,
( ~ spl2_22
| ~ spl2_39
| ~ spl2_173 ),
inference(sat_conversion,[],[f5920]) ).
cnf(s394,plain,
( ~ spl2_8
| spl2_39
| spl2_194 ),
inference(sat_conversion,[],[f5924]) ).
cnf(s404,plain,
( ~ spl2_30
| ~ spl2_35
| ~ spl2_96
| spl2_161 ),
inference(sat_conversion,[],[f6058]) ).
cnf(s408,plain,
( ~ spl2_62
| spl2_95
| ~ spl2_96 ),
inference(sat_conversion,[],[f6121]) ).
cnf(s409,plain,
( ~ spl2_17
| spl2_27
| ~ spl2_96 ),
inference(sat_conversion,[],[f6122]) ).
cnf(s410,plain,
( ~ spl2_95
| spl2_130
| ~ spl2_147 ),
inference(sat_conversion,[],[f6151]) ).
cnf(s411,plain,
( spl2_23
| ~ spl2_27
| ~ spl2_176 ),
inference(sat_conversion,[],[f6171]) ).
cnf(s412,plain,
( ~ spl2_13
| ~ spl2_27
| ~ spl2_58
| ~ spl2_130 ),
inference(sat_conversion,[],[f6199]) ).
cnf(s413,plain,
( ~ spl2_78
| ~ spl2_96 ),
inference(sat_conversion,[],[f6206]) ).
cnf(s443,plain,
( ~ spl2_31
| ~ spl2_50
| ~ spl2_63 ),
inference(sat_conversion,[],[f6415]) ).
cnf(s448,plain,
( ~ spl2_10
| spl2_75
| ~ spl2_96
| ~ spl2_132 ),
inference(sat_conversion,[],[f6477]) ).
cnf(s450,plain,
( ~ spl2_10
| ~ spl2_35
| ~ spl2_75
| ~ spl2_96 ),
inference(sat_conversion,[],[f6499]) ).
cnf(s451,plain,
( ~ spl2_45
| ~ spl2_96 ),
inference(sat_conversion,[],[f6501]) ).
cnf(s453,plain,
( ~ spl2_96
| ~ spl2_156 ),
inference(sat_conversion,[],[f6515]) ).
cnf(s454,plain,
( ~ spl2_39
| ~ spl2_96 ),
inference(sat_conversion,[],[f6517]) ).
cnf(s462,plain,
( spl2_22
| ~ spl2_38
| ~ spl2_96
| spl2_205 ),
inference(sat_conversion,[],[f6538]) ).
cnf(s470,plain,
( ~ spl2_82
| ~ spl2_131 ),
inference(sat_conversion,[],[f6605]) ).
cnf(s476,plain,
( ~ spl2_35
| ~ spl2_96
| spl2_161
| ~ spl2_205 ),
inference(sat_conversion,[],[f6727]) ).
cnf(s484,plain,
( spl2_22
| spl2_31
| spl2_210 ),
inference(sat_conversion,[],[f6862]) ).
cnf(s485,plain,
( ~ spl2_31
| spl2_82
| ~ spl2_96
| ~ spl2_161
| ~ spl2_205 ),
inference(sat_conversion,[],[f6864]) ).
cnf(s487,plain,
( ~ spl2_9
| spl2_68
| ~ spl2_95 ),
inference(sat_conversion,[],[f6867]) ).
cnf(s493,plain,
( spl2_113
| spl2_134 ),
inference(sat_conversion,[],[f6915]) ).
cnf(s494,plain,
( ~ spl2_10
| spl2_22
| ~ spl2_29 ),
inference(sat_conversion,[],[f6937]) ).
cnf(s495,plain,
( ~ spl2_18
| spl2_19
| spl2_22
| ~ spl2_41 ),
inference(sat_conversion,[],[f6938]) ).
cnf(s496,plain,
( ~ spl2_51
| spl2_203 ),
inference(sat_conversion,[],[f6941]) ).
cnf(s502,plain,
( ~ spl2_13
| spl2_31 ),
inference(sat_conversion,[],[f6997]) ).
cnf(s503,plain,
( ~ spl2_35
| ~ spl2_63
| ~ spl2_134 ),
inference(sat_conversion,[],[f7019]) ).
cnf(s507,plain,
( ~ spl2_82
| spl2_126
| ~ spl2_127
| spl2_211 ),
inference(sat_conversion,[],[f7214]) ).
cnf(s511,plain,
( ~ spl2_18
| ~ spl2_96
| ~ spl2_126 ),
inference(sat_conversion,[],[f7248]) ).
cnf(s537,plain,
( ~ spl2_13
| ~ spl2_118
| ~ spl2_211
| spl2_216 ),
inference(sat_conversion,[],[f7775]) ).
cnf(s584,plain,
( ~ spl2_13
| spl2_33
| ~ spl2_35
| ~ spl2_96
| ~ spl2_205
| ~ spl2_216 ),
inference(sat_conversion,[],[f8210]) ).
cnf(s606,plain,
( ~ spl2_13
| spl2_35 ),
inference(sat_conversion,[],[f8255]) ).
cnf(s609,plain,
( spl2_8
| spl2_97 ),
inference(sat_conversion,[],[f8272]) ).
cnf(s613,plain,
( ~ spl2_13
| spl2_81
| ~ spl2_96
| ~ spl2_118
| ~ spl2_205 ),
inference(sat_conversion,[],[f8283]) ).
cnf(s752,plain,
( spl2_25
| spl2_31 ),
inference(sat_conversion,[],[f9050]) ).
cnf(s755,plain,
( spl2_35
| ~ spl2_60
| spl2_113
| spl2_117
| spl2_121 ),
inference(sat_conversion,[],[f9072]) ).
cnf(s759,plain,
( ~ spl2_11
| spl2_35
| ~ spl2_38
| ~ spl2_96
| spl2_116 ),
inference(sat_conversion,[],[f9118]) ).
cnf(s761,plain,
( spl2_24
| ~ spl2_25
| spl2_35
| spl2_131 ),
inference(sat_conversion,[],[f9120]) ).
cnf(s786,plain,
( ~ spl2_8
| ~ spl2_24
| ~ spl2_96 ),
inference(sat_conversion,[],[f9348]) ).
cnf(s787,plain,
( ~ spl2_8
| ~ spl2_25
| spl2_35
| ~ spl2_200 ),
inference(sat_conversion,[],[f9391]) ).
cnf(s789,plain,
( spl2_35
| ~ spl2_79
| spl2_130
| spl2_151 ),
inference(sat_conversion,[],[f9527]) ).
cnf(s795,plain,
( spl2_35
| spl2_123
| spl2_225 ),
inference(sat_conversion,[],[f9583]) ).
cnf(s796,plain,
( ~ spl2_11
| ~ spl2_29
| ~ spl2_96
| ~ spl2_225 ),
inference(sat_conversion,[],[f9613]) ).
cnf(s798,plain,
( ~ spl2_10
| ~ spl2_22
| ~ spl2_27
| ~ spl2_96
| ~ spl2_130
| ~ spl2_162 ),
inference(sat_conversion,[],[f9672]) ).
cnf(s802,plain,
( ~ spl2_79
| ~ spl2_97 ),
inference(sat_conversion,[],[f9682]) ).
cnf(s803,plain,
( spl2_8
| ~ spl2_79 ),
inference(sat_conversion,[],[f9685]) ).
cnf(s810,plain,
( ~ spl2_8
| spl2_9
| ~ spl2_79
| spl2_229 ),
inference(sat_conversion,[],[f9708]) ).
cnf(s811,plain,
( ~ spl2_8
| spl2_9
| spl2_35
| spl2_156 ),
inference(sat_conversion,[],[f9709]) ).
cnf(s820,plain,
( spl2_113
| ~ spl2_157
| spl2_233 ),
inference(sat_conversion,[],[f9863]) ).
cnf(s824,plain,
( ~ spl2_116
| ~ spl2_152
| ~ spl2_156 ),
inference(sat_conversion,[],[f9901]) ).
cnf(s825,plain,
( ~ spl2_134
| ~ spl2_156
| ~ spl2_233 ),
inference(sat_conversion,[],[f9908]) ).
cnf(s826,plain,
( ~ spl2_123
| ~ spl2_153
| ~ spl2_156 ),
inference(sat_conversion,[],[f9924]) ).
cnf(s837,plain,
( ~ spl2_31
| ~ spl2_123
| ~ spl2_172
| spl2_173 ),
inference(sat_conversion,[],[f9977]) ).
cnf(s838,plain,
( ~ spl2_27
| ~ spl2_116
| spl2_160 ),
inference(sat_conversion,[],[f9979]) ).
cnf(s839,plain,
( spl2_96
| ~ spl2_97
| spl2_113
| ~ spl2_172 ),
inference(sat_conversion,[],[f9980]) ).
cnf(s850,plain,
( ~ spl2_27
| ~ spl2_50
| spl2_96
| spl2_113
| ~ spl2_134 ),
inference(sat_conversion,[],[f10197]) ).
cnf(s859,plain,
( ~ spl2_18
| spl2_192 ),
inference(sat_conversion,[],[f10292]) ).
cnf(s863,plain,
( spl2_64
| spl2_113
| ~ spl2_148 ),
inference(sat_conversion,[],[f10369]) ).
cnf(s868,plain,
( spl2_8
| ~ spl2_42
| spl2_233 ),
inference(sat_conversion,[],[f10375]) ).
cnf(s875,plain,
( ~ spl2_194
| spl2_227 ),
inference(sat_conversion,[],[f10511]) ).
cnf(s884,plain,
( ~ spl2_7
| spl2_31
| spl2_45 ),
inference(sat_conversion,[],[f10700]) ).
cnf(s885,plain,
( ~ spl2_11
| spl2_35
| ~ spl2_38
| spl2_116
| spl2_156 ),
inference(sat_conversion,[],[f10702]) ).
cnf(s889,plain,
( ~ spl2_10
| spl2_231 ),
inference(sat_conversion,[],[f10832]) ).
cnf(s892,plain,
( ~ spl2_22
| ~ spl2_27
| spl2_78
| spl2_79
| ~ spl2_231 ),
inference(sat_conversion,[],[f10891]) ).
cnf(s896,plain,
( spl2_54
| ~ spl2_97
| spl2_140
| ~ spl2_231 ),
inference(sat_conversion,[],[f11029]) ).
cnf(s1107,plain,
( ~ spl2_45
| spl2_82
| ~ spl2_123
| ~ spl2_156 ),
inference(sat_conversion,[],[f16322]) ).
cnf(s1125,plain,
( ~ spl2_39
| ~ spl2_97
| ~ spl2_233 ),
inference(sat_conversion,[],[f16439]) ).
cnf(s1298,plain,
( spl2_12
| spl2_33
| ~ spl2_351 ),
inference(sat_conversion,[],[f19024]) ).
cnf(s1314,plain,
( ~ spl2_137
| ~ spl2_190
| spl2_367 ),
inference(sat_conversion,[],[f19081]) ).
cnf(s1326,plain,
( spl2_12
| spl2_33
| ~ spl2_349 ),
inference(sat_conversion,[],[f19268]) ).
cnf(s1342,plain,
( spl2_26
| spl2_71
| ~ spl2_349 ),
inference(sat_conversion,[],[f19290]) ).
cnf(s1354,plain,
( ~ spl2_107
| spl2_329
| ~ spl2_367 ),
inference(sat_conversion,[],[f19344]) ).
cnf(s1356,plain,
( ~ spl2_329
| spl2_330 ),
inference(sat_conversion,[],[f19392]) ).
cnf(s1371,plain,
( ~ spl2_326
| spl2_327 ),
inference(sat_conversion,[],[f19462]) ).
cnf(s1372,plain,
( ~ spl2_63
| ~ spl2_326
| spl2_329 ),
inference(sat_conversion,[],[f19463]) ).
cnf(s1385,plain,
( spl2_190
| spl2_326 ),
inference(sat_conversion,[],[f19609]) ).
cnf(s1396,plain,
( spl2_35
| ~ spl2_113
| spl2_292 ),
inference(sat_conversion,[],[f19670]) ).
cnf(s1398,plain,
( ~ spl2_134
| spl2_331 ),
inference(sat_conversion,[],[f19703]) ).
cnf(s1407,plain,
( spl2_35
| spl2_151
| ~ spl2_329
| spl2_377 ),
inference(sat_conversion,[],[f19773]) ).
cnf(s1427,plain,
( ~ spl2_12
| spl2_116
| ~ spl2_146 ),
inference(sat_conversion,[],[f19925]) ).
cnf(s1428,plain,
( ~ spl2_12
| spl2_35
| spl2_116
| spl2_151 ),
inference(sat_conversion,[],[f19926]) ).
cnf(s1437,plain,
( ~ spl2_12
| spl2_14
| spl2_35 ),
inference(sat_conversion,[],[f19954]) ).
cnf(s1438,plain,
( ~ spl2_12
| spl2_14
| spl2_31 ),
inference(sat_conversion,[],[f19955]) ).
cnf(s1447,plain,
( ~ spl2_14
| ~ spl2_329
| ~ spl2_378 ),
inference(sat_conversion,[],[f20023]) ).
cnf(s1448,plain,
( ~ spl2_14
| ~ spl2_34
| spl2_35 ),
inference(sat_conversion,[],[f20024]) ).
cnf(s1463,plain,
( spl2_378
| spl2_384 ),
inference(sat_conversion,[],[f20185]) ).
cnf(s1473,plain,
( ~ spl2_308
| ~ spl2_326
| ~ spl2_377
| ~ spl2_399 ),
inference(sat_conversion,[],[f20262]) ).
cnf(s1505,plain,
( ~ spl2_137
| ~ spl2_409
| spl2_411 ),
inference(sat_conversion,[],[f20658]) ).
cnf(s1507,plain,
( ~ spl2_107
| spl2_406
| ~ spl2_411 ),
inference(sat_conversion,[],[f20683]) ).
cnf(s1546,plain,
( ~ spl2_97
| ~ spl2_156
| ~ spl2_352 ),
inference(sat_conversion,[],[f21049]) ).
cnf(s1581,plain,
( ~ spl2_153
| ~ spl2_411
| ~ spl2_422 ),
inference(sat_conversion,[],[f21399]) ).
cnf(s1587,plain,
( ~ spl2_97
| spl2_190
| ~ spl2_400 ),
inference(sat_conversion,[],[f21416]) ).
cnf(s1589,plain,
( ~ spl2_31
| ~ spl2_411
| ~ spl2_423 ),
inference(sat_conversion,[],[f21419]) ).
cnf(s1592,plain,
( spl2_39
| spl2_97
| spl2_98 ),
inference(sat_conversion,[],[f21429]) ).
cnf(s1600,plain,
( ~ spl2_39
| ~ spl2_425
| ~ spl2_434 ),
inference(sat_conversion,[],[f21449]) ).
cnf(s1601,plain,
( ~ spl2_11
| ~ spl2_38
| ~ spl2_329
| spl2_384
| spl2_399 ),
inference(sat_conversion,[],[f21451]) ).
cnf(s1616,plain,
( ~ spl2_8
| spl2_321 ),
inference(sat_conversion,[],[f21509]) ).
cnf(s1617,plain,
( ~ spl2_31
| spl2_323 ),
inference(sat_conversion,[],[f21521]) ).
cnf(s1622,plain,
( ~ spl2_54
| spl2_190
| spl2_399 ),
inference(sat_conversion,[],[f21574]) ).
cnf(s1626,plain,
( spl2_409
| spl2_418 ),
inference(sat_conversion,[],[f21612]) ).
cnf(s1629,plain,
( ~ spl2_31
| ~ spl2_42
| spl2_153 ),
inference(sat_conversion,[],[f21655]) ).
cnf(s1630,plain,
( ~ spl2_42
| ~ spl2_97
| spl2_233 ),
inference(sat_conversion,[],[f21656]) ).
cnf(s1640,plain,
( ~ spl2_63
| ~ spl2_418
| ~ spl2_452 ),
inference(sat_conversion,[],[f21707]) ).
cnf(s1641,plain,
( ~ spl2_139
| ~ spl2_422
| ~ spl2_452 ),
inference(sat_conversion,[],[f21709]) ).
cnf(s1644,plain,
( spl2_190
| spl2_233
| ~ spl2_449 ),
inference(sat_conversion,[],[f21769]) ).
cnf(s1653,plain,
( spl2_153
| ~ spl2_411
| ~ spl2_435 ),
inference(sat_conversion,[],[f21905]) ).
cnf(s1654,plain,
( spl2_233
| ~ spl2_418
| ~ spl2_435 ),
inference(sat_conversion,[],[f21907]) ).
cnf(s1655,plain,
( spl2_152
| ~ spl2_425
| ~ spl2_435 ),
inference(sat_conversion,[],[f21908]) ).
cnf(s1657,plain,
( ~ spl2_134
| ~ spl2_156
| spl2_432 ),
inference(sat_conversion,[],[f21913]) ).
cnf(s1664,plain,
( ~ spl2_9
| ~ spl2_190
| ~ spl2_329 ),
inference(sat_conversion,[],[f22137]) ).
cnf(s1668,plain,
( spl2_326
| ~ spl2_345
| spl2_399
| ~ spl2_409 ),
inference(sat_conversion,[],[f22142]) ).
cnf(s1674,plain,
( ~ spl2_11
| ~ spl2_190
| ~ spl2_396 ),
inference(sat_conversion,[],[f22177]) ).
cnf(s1677,plain,
( ~ spl2_46
| ~ spl2_190
| spl2_367
| spl2_370 ),
inference(sat_conversion,[],[f22180]) ).
cnf(s1678,plain,
( ~ spl2_347
| ~ spl2_378
| spl2_396
| spl2_452 ),
inference(sat_conversion,[],[f22181]) ).
cnf(s1679,plain,
( spl2_153
| ~ spl2_367
| ~ spl2_449 ),
inference(sat_conversion,[],[f22239]) ).
cnf(s1680,plain,
( spl2_152
| ~ spl2_384
| ~ spl2_449 ),
inference(sat_conversion,[],[f22240]) ).
cnf(s1681,plain,
( ~ spl2_153
| ~ spl2_367
| ~ spl2_399 ),
inference(sat_conversion,[],[f22254]) ).
cnf(s1689,plain,
( spl2_425
| spl2_439 ),
inference(sat_conversion,[],[f22288]) ).
cnf(s1693,plain,
( spl2_416
| spl2_425
| spl2_439 ),
inference(sat_conversion,[],[f22294]) ).
cnf(s1707,plain,
( ~ spl2_31
| ~ spl2_39
| ~ spl2_153 ),
inference(sat_conversion,[],[f22435]) ).
cnf(s1708,plain,
( spl2_422
| spl2_446 ),
inference(sat_conversion,[],[f22442]) ).
cnf(s1709,plain,
( spl2_422
| spl2_446 ),
inference(sat_conversion,[],[f22444]) ).
cnf(s1710,plain,
( ~ spl2_39
| ~ spl2_384
| ~ spl2_408 ),
inference(sat_conversion,[],[f22462]) ).
cnf(s1718,plain,
( ~ spl2_135
| ~ spl2_190
| spl2_366
| spl2_367 ),
inference(sat_conversion,[],[f22530]) ).
cnf(s1725,plain,
( ~ spl2_41
| ~ spl2_190
| spl2_370
| spl2_384 ),
inference(sat_conversion,[],[f22727]) ).
cnf(s1735,plain,
( ~ spl2_347
| ~ spl2_396
| ~ spl2_439 ),
inference(sat_conversion,[],[f22967]) ).
cnf(s1738,plain,
( ~ spl2_347
| ~ spl2_370
| ~ spl2_409 ),
inference(sat_conversion,[],[f22970]) ).
cnf(s1752,plain,
( ~ spl2_39
| ~ spl2_75
| ~ spl2_97 ),
inference(sat_conversion,[],[f23054]) ).
cnf(s1753,plain,
( spl2_8
| ~ spl2_39
| ~ spl2_75 ),
inference(sat_conversion,[],[f23057]) ).
cnf(s1764,plain,
( ~ spl2_190
| ~ spl2_347
| spl2_418
| spl2_422 ),
inference(sat_conversion,[],[f23113]) ).
cnf(s1767,plain,
( spl2_23
| spl2_350
| spl2_354 ),
inference(sat_conversion,[],[f23146]) ).
cnf(s1768,plain,
( spl2_350
| spl2_354 ),
inference(sat_conversion,[],[f23147]) ).
cnf(s1780,plain,
( spl2_143
| spl2_367 ),
inference(sat_conversion,[],[f23229]) ).
cnf(s1800,plain,
( spl2_12
| spl2_33
| ~ spl2_416 ),
inference(sat_conversion,[],[f23383]) ).
cnf(s1812,plain,
( spl2_35
| spl2_384
| ~ spl2_395 ),
inference(sat_conversion,[],[f23555]) ).
cnf(s1814,plain,
( ~ spl2_378
| ~ spl2_426
| spl2_452 ),
inference(sat_conversion,[],[f23573]) ).
cnf(s1829,plain,
( ~ spl2_27
| ~ spl2_50
| spl2_95
| spl2_96 ),
inference(sat_conversion,[],[f23979]) ).
cnf(s1831,plain,
( ~ spl2_9
| spl2_35
| ~ spl2_113 ),
inference(sat_conversion,[],[f23981]) ).
cnf(s1852,plain,
( ~ spl2_331
| ~ spl2_421
| ~ spl2_422
| spl2_435 ),
inference(sat_conversion,[],[f24024]) ).
cnf(s1853,plain,
( ~ spl2_251
| ~ spl2_421
| ~ spl2_422 ),
inference(sat_conversion,[],[f24025]) ).
cnf(s1854,plain,
( ~ spl2_377
| ~ spl2_399
| spl2_408
| ~ spl2_432 ),
inference(sat_conversion,[],[f24026]) ).
cnf(s1859,plain,
( ~ spl2_331
| ~ spl2_377
| ~ spl2_399
| spl2_449 ),
inference(sat_conversion,[],[f24032]) ).
cnf(s1867,plain,
( ~ spl2_421
| ~ spl2_422
| ~ spl2_432
| spl2_434 ),
inference(sat_conversion,[],[f24044]) ).
cnf(s1875,plain,
( ~ spl2_45
| spl2_316 ),
inference(sat_conversion,[],[f24065]) ).
cnf(s1876,plain,
( ~ spl2_50
| spl2_320 ),
inference(sat_conversion,[],[f24078]) ).
cnf(s1884,plain,
( ~ spl2_34
| ~ spl2_354
| ~ spl2_396 ),
inference(sat_conversion,[],[f24302]) ).
cnf(s1924,plain,
( ~ spl2_8
| spl2_35
| ~ spl2_79
| ~ spl2_465 ),
inference(sat_conversion,[],[f24651]) ).
cnf(s1947,plain,
( ~ spl2_229
| spl2_399 ),
inference(sat_conversion,[],[f24962]) ).
cnf(s1960,plain,
( ~ spl2_8
| ~ spl2_151
| spl2_156 ),
inference(sat_conversion,[],[f25101]) ).
cnf(s1965,plain,
( ~ spl2_8
| spl2_35
| spl2_134
| spl2_156 ),
inference(sat_conversion,[],[f25107]) ).
cnf(s1978,plain,
( ~ spl2_39
| ~ spl2_97
| spl2_468 ),
inference(sat_conversion,[],[f25135]) ).
cnf(s1994,plain,
( ~ spl2_22
| ~ spl2_27
| spl2_63
| ~ spl2_326
| spl2_329 ),
inference(sat_conversion,[],[f25330]) ).
cnf(s2011,plain,
( ~ spl2_151
| ~ spl2_329
| ~ spl2_354 ),
inference(sat_conversion,[],[f25537]) ).
cnf(s2019,plain,
( ~ spl2_350
| ~ spl2_352
| ~ spl2_450 ),
inference(sat_conversion,[],[f25596]) ).
cnf(s2029,plain,
( ~ spl2_97
| ~ spl2_418
| ~ spl2_423 ),
inference(sat_conversion,[],[f25784]) ).
cnf(s2048,plain,
( ~ spl2_190
| ~ spl2_345
| ~ spl2_410 ),
inference(sat_conversion,[],[f26138]) ).
cnf(s2049,plain,
( ~ spl2_345
| spl2_399
| ~ spl2_409
| spl2_410 ),
inference(sat_conversion,[],[f26140]) ).
cnf(s2050,plain,
( ~ spl2_97
| ~ spl2_399
| ~ spl2_407 ),
inference(sat_conversion,[],[f26146]) ).
cnf(s2053,plain,
( spl2_472
| spl2_474 ),
inference(sat_conversion,[],[f26162]) ).
cnf(s2067,plain,
( ~ spl2_27
| ~ spl2_123
| ~ spl2_350 ),
inference(sat_conversion,[],[f26474]) ).
cnf(s2073,plain,
( ~ spl2_22
| ~ spl2_27
| ~ spl2_35
| spl2_132 ),
inference(sat_conversion,[],[f26503]) ).
cnf(s2074,plain,
( ~ spl2_35
| ~ spl2_107
| ~ spl2_123 ),
inference(sat_conversion,[],[f26517]) ).
cnf(s2093,plain,
( ~ spl2_78
| spl2_156 ),
inference(sat_conversion,[],[f26700]) ).
cnf(s2113,plain,
( ~ spl2_35
| ~ spl2_79 ),
inference(sat_conversion,[],[f26754]) ).
cnf(s2115,plain,
( spl2_18
| ~ spl2_22
| ~ spl2_97
| spl2_140 ),
inference(sat_conversion,[],[f26758]) ).
cnf(s2121,plain,
( spl2_18
| ~ spl2_22
| ~ spl2_39
| spl2_42 ),
inference(sat_conversion,[],[f26768]) ).
cnf(s2123,plain,
( spl2_329
| spl2_450 ),
inference(sat_conversion,[],[f26772]) ).
cnf(s2127,plain,
( ~ spl2_35
| ~ spl2_55
| ~ spl2_134
| ~ spl2_156 ),
inference(sat_conversion,[],[f26778]) ).
cnf(s2140,plain,
( ~ spl2_233
| ~ spl2_326
| ~ spl2_399 ),
inference(sat_conversion,[],[f26897]) ).
cnf(s2145,plain,
( ~ spl2_45
| spl2_47
| spl2_113
| ~ spl2_123 ),
inference(sat_conversion,[],[f26920]) ).
cnf(s2151,plain,
( ~ spl2_55
| ~ spl2_326
| ~ spl2_399
| ~ spl2_450 ),
inference(sat_conversion,[],[f27028]) ).
cnf(s2165,plain,
( ~ spl2_8
| spl2_116
| ~ spl2_147 ),
inference(sat_conversion,[],[f27161]) ).
cnf(s2168,plain,
( ~ spl2_35
| ~ spl2_42
| spl2_265 ),
inference(sat_conversion,[],[f27258]) ).
cnf(s2170,plain,
( ~ spl2_35
| ~ spl2_39
| ~ spl2_265 ),
inference(sat_conversion,[],[f27270]) ).
cnf(s2184,plain,
( ~ spl2_45
| ~ spl2_367
| ~ spl2_408 ),
inference(sat_conversion,[],[f27397]) ).
cnf(s2193,plain,
( ~ spl2_344
| ~ spl2_399
| ~ spl2_434 ),
inference(sat_conversion,[],[f27499]) ).
cnf(s2200,plain,
( ~ spl2_347
| ~ spl2_395
| ~ spl2_472 ),
inference(sat_conversion,[],[f27578]) ).
cnf(s2205,plain,
( ~ spl2_27
| ~ spl2_35
| ~ spl2_134
| ~ spl2_469 ),
inference(sat_conversion,[],[f27609]) ).
cnf(s2209,plain,
( ~ spl2_354
| spl2_421
| ~ spl2_426 ),
inference(sat_conversion,[],[f27665]) ).
cnf(s2211,plain,
( ~ spl2_45
| ~ spl2_411
| ~ spl2_434 ),
inference(sat_conversion,[],[f27710]) ).
cnf(s2246,plain,
( ~ spl2_354
| spl2_377
| spl2_484 ),
inference(sat_conversion,[],[f28408]) ).
cnf(s2259,plain,
( ~ spl2_39
| ~ spl2_346
| ~ spl2_399
| ~ spl2_450 ),
inference(sat_conversion,[],[f28443]) ).
cnf(s2261,plain,
( ~ spl2_39
| spl2_55
| spl2_190
| ~ spl2_450 ),
inference(sat_conversion,[],[f28445]) ).
cnf(s2263,plain,
( ~ spl2_35
| ~ spl2_39
| spl2_55
| spl2_113 ),
inference(sat_conversion,[],[f28447]) ).
cnf(s2264,plain,
( ~ spl2_354
| spl2_399
| spl2_465 ),
inference(sat_conversion,[],[f28448]) ).
cnf(s2290,plain,
( ~ spl2_345
| spl2_384
| spl2_438
| ~ spl2_439 ),
inference(sat_conversion,[],[f28710]) ).
cnf(s2296,plain,
( spl2_411
| spl2_440 ),
inference(sat_conversion,[],[f28780]) ).
cnf(s2303,plain,
( ~ spl2_345
| ~ spl2_354
| ~ spl2_473 ),
inference(sat_conversion,[],[f28856]) ).
cnf(s2305,plain,
( ~ spl2_329
| spl2_425
| ~ spl2_438 ),
inference(sat_conversion,[],[f28884]) ).
cnf(s2307,plain,
( ~ spl2_35
| spl2_181
| ~ spl2_326
| ~ spl2_377 ),
inference(sat_conversion,[],[f28954]) ).
cnf(s2311,plain,
( ~ spl2_181
| ~ spl2_326
| ~ spl2_377
| ~ spl2_450 ),
inference(sat_conversion,[],[f28976]) ).
cnf(s2312,plain,
( ~ spl2_354
| spl2_450
| spl2_486 ),
inference(sat_conversion,[],[f28980]) ).
cnf(s2314,plain,
( spl2_34
| spl2_116
| spl2_117 ),
inference(sat_conversion,[],[f28986]) ).
cnf(s2317,plain,
( ~ spl2_35
| ~ spl2_39
| spl2_59
| ~ spl2_116 ),
inference(sat_conversion,[],[f29008]) ).
cnf(s2318,plain,
( ~ spl2_39
| ~ spl2_116
| ~ spl2_251 ),
inference(sat_conversion,[],[f29010]) ).
cnf(s2321,plain,
( ~ spl2_11
| ~ spl2_18
| ~ spl2_20 ),
inference(sat_conversion,[],[f29014]) ).
cnf(s2336,plain,
( ~ spl2_172
| ~ spl2_421
| spl2_434
| ~ spl2_452 ),
inference(sat_conversion,[],[f29153]) ).
cnf(s2348,plain,
( ~ spl2_113
| ~ spl2_354
| ~ spl2_370 ),
inference(sat_conversion,[],[f29272]) ).
cnf(s2351,plain,
( ~ spl2_190
| ~ spl2_347
| spl2_370
| spl2_422 ),
inference(sat_conversion,[],[f29278]) ).
cnf(s2375,plain,
( ~ spl2_59
| ~ spl2_384
| ~ spl2_399
| ~ spl2_450 ),
inference(sat_conversion,[],[f29666]) ).
cnf(s2391,plain,
( ~ spl2_16
| ~ spl2_18
| spl2_19
| spl2_39 ),
inference(sat_conversion,[],[f29808]) ).
cnf(s2397,plain,
( ~ spl2_8
| ~ spl2_25
| ~ spl2_192
| ~ spl2_329
| spl2_367 ),
inference(sat_conversion,[],[f29819]) ).
cnf(s2410,plain,
( ~ spl2_11
| ~ spl2_30
| spl2_31 ),
inference(sat_conversion,[],[f29956]) ).
cnf(s2414,plain,
( ~ spl2_35
| ~ spl2_59
| ~ spl2_116
| ~ spl2_156 ),
inference(sat_conversion,[],[f29961]) ).
cnf(s2418,plain,
( ~ spl2_8
| spl2_35
| ~ spl2_476 ),
inference(sat_conversion,[],[f29965]) ).
cnf(s2426,plain,
( spl2_22
| spl2_23
| spl2_50
| ~ spl2_227 ),
inference(sat_conversion,[],[f30045]) ).
cnf(s2461,plain,
( spl2_97
| spl2_417
| spl2_425 ),
inference(sat_conversion,[],[f30538]) ).
cnf(s2463,plain,
( ~ spl2_210
| spl2_411
| spl2_425 ),
inference(sat_conversion,[],[f30576]) ).
cnf(s2465,plain,
( ~ spl2_345
| spl2_425
| ~ spl2_440
| ~ spl2_457 ),
inference(sat_conversion,[],[f30641]) ).
cnf(s2471,plain,
( ~ spl2_39
| spl2_42
| ~ spl2_327
| ~ spl2_384 ),
inference(sat_conversion,[],[f30887]) ).
cnf(s2478,plain,
( ~ spl2_25
| spl2_425
| ~ spl2_490 ),
inference(sat_conversion,[],[f31076]) ).
cnf(s2486,plain,
( ~ spl2_8
| ~ spl2_25
| spl2_123
| ~ spl2_150
| ~ spl2_192 ),
inference(sat_conversion,[],[f31089]) ).
cnf(s2487,plain,
( spl2_406
| spl2_452 ),
inference(sat_conversion,[],[f31090]) ).
cnf(s2488,plain,
( spl2_134
| spl2_156
| ~ spl2_190
| ~ spl2_354 ),
inference(sat_conversion,[],[f31091]) ).
cnf(s2490,plain,
( ~ spl2_143
| ~ spl2_190
| ~ spl2_192
| ~ spl2_347
| spl2_411 ),
inference(sat_conversion,[],[f31093]) ).
cnf(s2492,plain,
( ~ spl2_99
| ~ spl2_190
| ~ spl2_347
| ~ spl2_378
| spl2_425 ),
inference(sat_conversion,[],[f31097]) ).
cnf(s2494,plain,
( spl2_123
| ~ spl2_143
| ~ spl2_190
| ~ spl2_192
| ~ spl2_354 ),
inference(sat_conversion,[],[f31099]) ).
cnf(s2536,plain,
( spl2_74
| ~ spl2_116
| ~ spl2_148 ),
inference(sat_conversion,[],[f31594]) ).
cnf(s2544,plain,
( ~ spl2_190
| ~ spl2_321
| spl2_384
| spl2_396 ),
inference(sat_conversion,[],[f31739]) ).
cnf(s2550,plain,
( ~ spl2_16
| spl2_367
| ~ spl2_396 ),
inference(sat_conversion,[],[f31833]) ).
cnf(s2589,plain,
( ~ spl2_156
| spl2_157
| spl2_409
| ~ spl2_474 ),
inference(sat_conversion,[],[f32158]) ).
cnf(s2600,plain,
( ~ spl2_24
| spl2_123
| ~ spl2_150 ),
inference(sat_conversion,[],[f32368]) ).
cnf(s2603,plain,
( ~ spl2_39
| spl2_59
| ~ spl2_384
| ~ spl2_450 ),
inference(sat_conversion,[],[f32460]) ).
cnf(s2606,plain,
( ~ spl2_146
| spl2_421
| spl2_425 ),
inference(sat_conversion,[],[f32633]) ).
cnf(s2610,plain,
( ~ spl2_113
| ~ spl2_190
| spl2_377
| spl2_399 ),
inference(sat_conversion,[],[f32704]) ).
cnf(s2620,plain,
( ~ spl2_345
| ~ spl2_472
| ~ spl2_484 ),
inference(sat_conversion,[],[f32861]) ).
cnf(s2628,plain,
( ~ spl2_190
| spl2_376
| spl2_450 ),
inference(sat_conversion,[],[f32959]) ).
cnf(s2631,plain,
( ~ spl2_113
| spl2_156
| spl2_476 ),
inference(sat_conversion,[],[f32966]) ).
cnf(s2638,plain,
( spl2_22
| ~ spl2_366
| ~ spl2_384 ),
inference(sat_conversion,[],[f33117]) ).
cnf(s2667,plain,
( spl2_26
| spl2_71
| ~ spl2_366 ),
inference(sat_conversion,[],[f33164]) ).
cnf(s2692,plain,
( ~ spl2_48
| ~ spl2_422
| spl2_435 ),
inference(sat_conversion,[],[f33553]) ).
cnf(s2693,plain,
( ~ spl2_48
| ~ spl2_399
| spl2_449 ),
inference(sat_conversion,[],[f33555]) ).
cnf(s2696,plain,
( spl2_265
| ~ spl2_350
| ~ spl2_449 ),
inference(sat_conversion,[],[f33574]) ).
cnf(s2697,plain,
( ~ spl2_265
| ~ spl2_350
| ~ spl2_399 ),
inference(sat_conversion,[],[f33586]) ).
cnf(s2724,plain,
( ~ spl2_344
| ~ spl2_399
| ~ spl2_418
| spl2_449 ),
inference(sat_conversion,[],[f34171]) ).
cnf(s2725,plain,
( ~ spl2_27
| ~ spl2_116
| ~ spl2_350 ),
inference(sat_conversion,[],[f34173]) ).
cnf(s2726,plain,
( ~ spl2_12
| spl2_35
| ~ spl2_151 ),
inference(sat_conversion,[],[f34178]) ).
cnf(s2731,plain,
( ~ spl2_12
| ~ spl2_20
| spl2_22 ),
inference(sat_conversion,[],[f34183]) ).
cnf(s2732,plain,
( ~ spl2_12
| spl2_31
| ~ spl2_210 ),
inference(sat_conversion,[],[f34184]) ).
cnf(s2734,plain,
( spl2_117
| spl2_346
| spl2_347 ),
inference(sat_conversion,[],[f34196]) ).
cnf(s2760,plain,
( ~ spl2_37
| spl2_411
| spl2_425
| spl2_490 ),
inference(sat_conversion,[],[f34445]) ).
cnf(s2767,plain,
( ~ spl2_156
| ~ spl2_157
| ~ spl2_377 ),
inference(sat_conversion,[],[f34540]) ).
cnf(s2770,plain,
( ~ spl2_95
| spl2_190 ),
inference(sat_conversion,[],[f34546]) ).
cnf(s2779,plain,
( ~ spl2_156
| ~ spl2_157
| ~ spl2_421 ),
inference(sat_conversion,[],[f34631]) ).
cnf(s2780,plain,
( ~ spl2_35
| ~ spl2_97
| ~ spl2_156
| spl2_157 ),
inference(sat_conversion,[],[f34632]) ).
cnf(s2781,plain,
( spl2_8
| ~ spl2_35
| ~ spl2_156
| spl2_157 ),
inference(sat_conversion,[],[f34633]) ).
cnf(s2805,plain,
( spl2_117
| spl2_344
| spl2_345 ),
inference(sat_conversion,[],[f35038]) ).
cnf(s2812,plain,
( spl2_45
| ~ spl2_122
| spl2_123 ),
inference(sat_conversion,[],[f35046]) ).
cnf(s2827,plain,
( ~ spl2_190
| ~ spl2_354
| ~ spl2_476 ),
inference(sat_conversion,[],[f35334]) ).
cnf(s2829,plain,
( spl2_156
| ~ spl2_190
| ~ spl2_354
| spl2_370 ),
inference(sat_conversion,[],[f35336]) ).
cnf(s2831,plain,
( ~ spl2_156
| spl2_157
| ~ spl2_418
| ~ spl2_474 ),
inference(sat_conversion,[],[f35340]) ).
cnf(s2835,plain,
( ~ spl2_150
| spl2_450
| ~ spl2_484 ),
inference(sat_conversion,[],[f35345]) ).
cnf(s2836,plain,
( spl2_134
| spl2_156
| ~ spl2_190
| ~ spl2_354 ),
inference(sat_conversion,[],[f35346]) ).
cnf(s2839,plain,
( ~ spl2_154
| spl2_399
| ~ spl2_484 ),
inference(sat_conversion,[],[f35349]) ).
cnf(s2842,plain,
( spl2_39
| spl2_116
| ~ spl2_122 ),
inference(sat_conversion,[],[f35350]) ).
cnf(s2856,plain,
( ~ spl2_18
| spl2_142
| ~ spl2_491 ),
inference(sat_conversion,[],[f35526]) ).
cnf(s2857,plain,
( ~ spl2_325
| ~ spl2_346
| spl2_434
| ~ spl2_492 ),
inference(sat_conversion,[],[f35562]) ).
cnf(s2861,plain,
( ~ spl2_131
| ~ spl2_134
| ~ spl2_323
| spl2_469 ),
inference(sat_conversion,[],[f35671]) ).
cnf(s2873,plain,
( ~ spl2_22
| spl2_58
| ~ spl2_323 ),
inference(sat_conversion,[],[f35742]) ).
cnf(s2880,plain,
( ~ spl2_50
| spl2_113
| ~ spl2_249 ),
inference(sat_conversion,[],[f35803]) ).
cnf(s2894,plain,
( ~ spl2_131
| ~ spl2_156
| spl2_157
| ~ spl2_320 ),
inference(sat_conversion,[],[f35981]) ).
cnf(s2896,plain,
( ~ spl2_142
| ~ spl2_323
| ~ spl2_384
| ~ spl2_450 ),
inference(sat_conversion,[],[f36055]) ).
cnf(s2898,plain,
( ~ spl2_41
| ~ spl2_190
| spl2_370
| spl2_384 ),
inference(sat_conversion,[],[f36058]) ).
cnf(s2899,plain,
( ~ spl2_156
| ~ spl2_350
| ~ spl2_408 ),
inference(sat_conversion,[],[f36070]) ).
cnf(s2902,plain,
( ~ spl2_142
| ~ spl2_323
| ~ spl2_367
| ~ spl2_450 ),
inference(sat_conversion,[],[f36108]) ).
cnf(s2904,plain,
( ~ spl2_97
| ~ spl2_399
| spl2_449
| ~ spl2_450 ),
inference(sat_conversion,[],[f36110]) ).
cnf(s2906,plain,
( ~ spl2_8
| ~ spl2_370
| spl2_384 ),
inference(sat_conversion,[],[f36112]) ).
cnf(s2907,plain,
( ~ spl2_8
| ~ spl2_410
| spl2_425 ),
inference(sat_conversion,[],[f36113]) ).
cnf(s2909,plain,
( ~ spl2_399
| spl2_408
| ~ spl2_450
| ~ spl2_468 ),
inference(sat_conversion,[],[f36115]) ).
cnf(s2910,plain,
( ~ spl2_19
| spl2_142
| ~ spl2_190 ),
inference(sat_conversion,[],[f36117]) ).
cnf(s2911,plain,
( spl2_8
| ~ spl2_399
| spl2_449
| ~ spl2_450 ),
inference(sat_conversion,[],[f36118]) ).
cnf(s2912,plain,
( ~ spl2_8
| ~ spl2_19
| spl2_22 ),
inference(sat_conversion,[],[f36119]) ).
cnf(s2914,plain,
( ~ spl2_127
| spl2_142
| ~ spl2_484 ),
inference(sat_conversion,[],[f36121]) ).
cnf(s2916,plain,
( ~ spl2_16
| ~ spl2_127
| spl2_142
| ~ spl2_486 ),
inference(sat_conversion,[],[f36123]) ).
cnf(s2917,plain,
( ~ spl2_18
| spl2_19
| spl2_22
| ~ spl2_41 ),
inference(sat_conversion,[],[f36124]) ).
cnf(s2929,plain,
( ~ spl2_156
| spl2_157
| ~ spl2_327
| ~ spl2_350 ),
inference(sat_conversion,[],[f36318]) ).
cnf(s2932,plain,
( spl2_142
| ~ spl2_190
| spl2_495 ),
inference(sat_conversion,[],[f36358]) ).
cnf(s2933,plain,
( spl2_18
| spl2_319
| ~ spl2_323 ),
inference(sat_conversion,[],[f36359]) ).
cnf(s2934,plain,
( ~ spl2_18
| spl2_367
| ~ spl2_370 ),
inference(sat_conversion,[],[f36360]) ).
cnf(s2935,plain,
( ~ spl2_190
| spl2_377
| spl2_465 ),
inference(sat_conversion,[],[f36361]) ).
cnf(s2942,plain,
( spl2_107
| ~ spl2_346
| ~ spl2_384
| ~ spl2_411
| ~ spl2_452 ),
inference(sat_conversion,[],[f36466]) ).
cnf(s2943,plain,
( spl2_75
| ~ spl2_346
| ~ spl2_384
| ~ spl2_425
| ~ spl2_452 ),
inference(sat_conversion,[],[f36468]) ).
cnf(s2956,plain,
( ~ spl2_31
| spl2_93
| ~ spl2_411
| ~ spl2_425 ),
inference(sat_conversion,[],[f36690]) ).
cnf(s2962,plain,
( ~ spl2_344
| ~ spl2_350
| spl2_352
| ~ spl2_425
| ~ spl2_450 ),
inference(sat_conversion,[],[f36735]) ).
cnf(s2963,plain,
( spl2_75
| ~ spl2_344
| ~ spl2_384
| ~ spl2_425
| ~ spl2_450 ),
inference(sat_conversion,[],[f36736]) ).
cnf(s2975,plain,
( ~ spl2_190
| ~ spl2_345
| spl2_441 ),
inference(sat_conversion,[],[f36883]) ).
cnf(s2976,plain,
( spl2_142
| ~ spl2_345
| ~ spl2_440
| spl2_490 ),
inference(sat_conversion,[],[f36884]) ).
cnf(s2978,plain,
( ~ spl2_143
| ~ spl2_345
| ~ spl2_490 ),
inference(sat_conversion,[],[f36899]) ).
cnf(s2984,plain,
( ~ spl2_143
| ~ spl2_347
| spl2_482
| spl2_492 ),
inference(sat_conversion,[],[f36954]) ).
cnf(s2992,plain,
( ~ spl2_190
| spl2_399
| spl2_491 ),
inference(sat_conversion,[],[f36987]) ).
cnf(s2994,plain,
( ~ spl2_58
| spl2_423
| ~ spl2_452
| ~ spl2_492 ),
inference(sat_conversion,[],[f36989]) ).
cnf(s2995,plain,
( ~ spl2_35
| spl2_132
| ~ spl2_350
| ~ spl2_384 ),
inference(sat_conversion,[],[f36990]) ).
cnf(s3000,plain,
( ~ spl2_22
| ~ spl2_452
| ~ spl2_492
| spl2_496 ),
inference(sat_conversion,[],[f36995]) ).
cnf(s3012,plain,
( ~ spl2_44
| ~ spl2_422
| spl2_425
| spl2_435 ),
inference(sat_conversion,[],[f37111]) ).
cnf(s3018,plain,
( ~ spl2_112
| spl2_421
| ~ spl2_500 ),
inference(sat_conversion,[],[f37203]) ).
cnf(s3020,plain,
( ~ spl2_150
| spl2_425
| ~ spl2_473 ),
inference(sat_conversion,[],[f37226]) ).
cnf(s3023,plain,
( spl2_63
| spl2_409
| ~ spl2_496 ),
inference(sat_conversion,[],[f37273]) ).
cnf(s3024,plain,
( ~ spl2_116
| spl2_119
| ~ spl2_156 ),
inference(sat_conversion,[],[f37375]) ).
cnf(s3032,plain,
( ~ spl2_346
| ~ spl2_350
| ~ spl2_421
| spl2_504 ),
inference(sat_conversion,[],[f37574]) ).
cnf(s3042,plain,
( ~ spl2_344
| ~ spl2_365
| spl2_377 ),
inference(sat_conversion,[],[f37709]) ).
cnf(s3052,plain,
( spl2_26
| spl2_71
| ~ spl2_365 ),
inference(sat_conversion,[],[f37727]) ).
cnf(s3065,plain,
( ~ spl2_110
| ~ spl2_440
| ~ spl2_506 ),
inference(sat_conversion,[],[f37881]) ).
cnf(s3066,plain,
( spl2_79
| ~ spl2_116
| ~ spl2_350
| ~ spl2_384 ),
inference(sat_conversion,[],[f37901]) ).
cnf(s3076,plain,
( ~ spl2_16
| spl2_35
| ~ spl2_126 ),
inference(sat_conversion,[],[f37923]) ).
cnf(s3085,plain,
( ~ spl2_123
| ~ spl2_350
| ~ spl2_367
| spl2_513 ),
inference(sat_conversion,[],[f38006]) ).
cnf(s3087,plain,
( ~ spl2_31
| spl2_249
| ~ spl2_350
| ~ spl2_367
| ~ spl2_450 ),
inference(sat_conversion,[],[f38011]) ).
cnf(s3094,plain,
( ~ spl2_172
| ~ spl2_377
| spl2_408
| ~ spl2_450 ),
inference(sat_conversion,[],[f38150]) ).
cnf(s3098,plain,
( ~ spl2_20
| ~ spl2_439
| ~ spl2_494 ),
inference(sat_conversion,[],[f38191]) ).
cnf(s3100,plain,
( ~ spl2_50
| spl2_63
| ~ spl2_93 ),
inference(sat_conversion,[],[f38228]) ).
cnf(s3101,plain,
( spl2_18
| spl2_63
| ~ spl2_93 ),
inference(sat_conversion,[],[f38229]) ).
cnf(s3103,plain,
( ~ spl2_30
| ~ spl2_112
| ~ spl2_154 ),
inference(sat_conversion,[],[f38231]) ).
cnf(s3106,plain,
( ~ spl2_143
| ~ spl2_190
| ~ spl2_200
| ~ spl2_354 ),
inference(sat_conversion,[],[f38235]) ).
cnf(s3110,plain,
( spl2_97
| spl2_116
| spl2_292 ),
inference(sat_conversion,[],[f38270]) ).
cnf(s3111,plain,
( ~ spl2_16
| ~ spl2_18
| spl2_20
| ~ spl2_321 ),
inference(sat_conversion,[],[f38271]) ).
cnf(s3112,plain,
( spl2_18
| ~ spl2_81
| ~ spl2_97 ),
inference(sat_conversion,[],[f38272]) ).
cnf(s3113,plain,
( ~ spl2_97
| spl2_140
| spl2_190
| ~ spl2_384 ),
inference(sat_conversion,[],[f38275]) ).
cnf(s3114,plain,
( spl2_190
| ~ spl2_450
| spl2_501 ),
inference(sat_conversion,[],[f38276]) ).
cnf(s3128,plain,
( spl2_113
| ~ spl2_156
| spl2_432 ),
inference(sat_conversion,[],[f38298]) ).
cnf(s3129,plain,
( ~ spl2_39
| spl2_42
| spl2_190
| ~ spl2_384 ),
inference(sat_conversion,[],[f38299]) ).
cnf(s3132,plain,
( spl2_39
| ~ spl2_113
| spl2_116
| spl2_147 ),
inference(sat_conversion,[],[f38303]) ).
cnf(s3139,plain,
( ~ spl2_51
| ~ spl2_112
| ~ spl2_113
| spl2_116 ),
inference(sat_conversion,[],[f38314]) ).
cnf(s3140,plain,
( ~ spl2_112
| ~ spl2_113
| spl2_377
| ~ spl2_495 ),
inference(sat_conversion,[],[f38315]) ).
cnf(s3141,plain,
( ~ spl2_113
| spl2_116
| spl2_123
| ~ spl2_203 ),
inference(sat_conversion,[],[f38316]) ).
cnf(s3152,plain,
( ~ spl2_131
| ~ spl2_156
| ~ spl2_173 ),
inference(sat_conversion,[],[f38423]) ).
cnf(s3159,plain,
( ~ spl2_150
| spl2_151
| ~ spl2_329
| spl2_377 ),
inference(sat_conversion,[],[f38466]) ).
cnf(s3172,plain,
( ~ spl2_47
| ~ spl2_131
| spl2_265 ),
inference(sat_conversion,[],[f38631]) ).
cnf(s3188,plain,
( ~ spl2_67
| ~ spl2_123
| ~ spl2_131 ),
inference(sat_conversion,[],[f38776]) ).
cnf(s3204,plain,
( ~ spl2_93
| ~ spl2_131
| spl2_352 ),
inference(sat_conversion,[],[f38884]) ).
cnf(s3209,plain,
( spl2_8
| ~ spl2_31
| ~ spl2_45
| spl2_47 ),
inference(sat_conversion,[],[f38890]) ).
cnf(s3215,plain,
( spl2_22
| spl2_110
| ~ spl2_112
| spl2_116 ),
inference(sat_conversion,[],[f38932]) ).
cnf(s3216,plain,
( ~ spl2_93
| ~ spl2_142
| spl2_407 ),
inference(sat_conversion,[],[f38941]) ).
cnf(s3232,plain,
( ~ spl2_82
| ~ spl2_492 ),
inference(sat_conversion,[],[f39146]) ).
cnf(s3234,plain,
( spl2_8
| ~ spl2_422
| spl2_435
| ~ spl2_452 ),
inference(sat_conversion,[],[f39150]) ).
cnf(s3235,plain,
( ~ spl2_47
| ~ spl2_71
| spl2_153 ),
inference(sat_conversion,[],[f39162]) ).
cnf(s3237,plain,
( ~ spl2_71
| spl2_318 ),
inference(sat_conversion,[],[f39164]) ).
cnf(s3254,plain,
( ~ spl2_39
| ~ spl2_47
| ~ spl2_452
| ~ spl2_492 ),
inference(sat_conversion,[],[f39360]) ).
cnf(s3257,plain,
( ~ spl2_20
| spl2_116
| ~ spl2_127 ),
inference(sat_conversion,[],[f39417]) ).
cnf(s3276,plain,
( ~ spl2_31
| ~ spl2_142
| ~ spl2_407 ),
inference(sat_conversion,[],[f39584]) ).
cnf(s3279,plain,
( ~ spl2_31
| spl2_93
| ~ spl2_367
| ~ spl2_384 ),
inference(sat_conversion,[],[f39587]) ).
cnf(s3296,plain,
( spl2_82
| ~ spl2_123
| ~ spl2_513 ),
inference(sat_conversion,[],[f39904]) ).
cnf(s3301,plain,
( ~ spl2_113
| spl2_422
| ~ spl2_511 ),
inference(sat_conversion,[],[f39971]) ).
cnf(s3302,plain,
( spl2_116
| spl2_452
| ~ spl2_511 ),
inference(sat_conversion,[],[f39973]) ).
cnf(s3313,plain,
( ~ spl2_131
| spl2_148
| ~ spl2_156
| ~ spl2_316 ),
inference(sat_conversion,[],[f40552]) ).
cnf(s3317,plain,
( spl2_74
| ~ spl2_123
| ~ spl2_142
| ~ spl2_377
| ~ spl2_384 ),
inference(sat_conversion,[],[f40645]) ).
cnf(s3323,plain,
( ~ spl2_123
| ~ spl2_142
| ~ spl2_377
| spl2_521 ),
inference(sat_conversion,[],[f40658]) ).
cnf(s3331,plain,
( ~ spl2_34
| spl2_146
| ~ spl2_406
| spl2_421 ),
inference(sat_conversion,[],[f40668]) ).
cnf(s3339,plain,
( ~ spl2_123
| ~ spl2_156
| ~ spl2_421
| ~ spl2_422
| spl2_424 ),
inference(sat_conversion,[],[f40803]) ).
cnf(s3352,plain,
( ~ spl2_16
| ~ spl2_329
| ~ spl2_525 ),
inference(sat_conversion,[],[f40904]) ).
cnf(s3354,plain,
( ~ spl2_16
| spl2_450
| ~ spl2_525 ),
inference(sat_conversion,[],[f40908]) ).
cnf(s3359,plain,
( ~ spl2_131
| ~ spl2_424
| ~ spl2_474 ),
inference(sat_conversion,[],[f40995]) ).
cnf(s3369,plain,
( ~ spl2_142
| ~ spl2_344
| ~ spl2_424 ),
inference(sat_conversion,[],[f41072]) ).
cnf(s3387,plain,
( ~ spl2_74
| ~ spl2_116
| ~ spl2_131 ),
inference(sat_conversion,[],[f41243]) ).
cnf(s3388,plain,
( ~ spl2_74
| ~ spl2_142
| ~ spl2_384 ),
inference(sat_conversion,[],[f41245]) ).
cnf(s3390,plain,
( ~ spl2_39
| spl2_79
| ~ spl2_116
| ~ spl2_119 ),
inference(sat_conversion,[],[f41248]) ).
cnf(s3391,plain,
( ~ spl2_113
| spl2_131
| spl2_200 ),
inference(sat_conversion,[],[f41249]) ).
cnf(s3399,plain,
( ~ spl2_18
| spl2_22
| spl2_23
| ~ spl2_194 ),
inference(sat_conversion,[],[f41269]) ).
cnf(s3423,plain,
( ~ spl2_127
| spl2_134
| spl2_200 ),
inference(sat_conversion,[],[f41437]) ).
cnf(s3431,plain,
( spl2_131
| ~ spl2_143
| ~ spl2_354
| spl2_482 ),
inference(sat_conversion,[],[f41517]) ).
cnf(s3436,plain,
( ~ spl2_28
| ~ spl2_112
| ~ spl2_127 ),
inference(sat_conversion,[],[f41550]) ).
cnf(s3449,plain,
( spl2_123
| ~ spl2_127
| ~ spl2_143
| ~ spl2_354 ),
inference(sat_conversion,[],[f41673]) ).
cnf(s3450,plain,
( spl2_113
| ~ spl2_377
| ~ spl2_399
| spl2_449 ),
inference(sat_conversion,[],[f41674]) ).
cnf(s3452,plain,
( spl2_35
| ~ spl2_354
| ~ spl2_378
| spl2_396 ),
inference(sat_conversion,[],[f41676]) ).
cnf(s3454,plain,
( ~ spl2_344
| ~ spl2_399
| spl2_409
| spl2_449 ),
inference(sat_conversion,[],[f41678]) ).
cnf(s3473,plain,
( ~ spl2_19
| ~ spl2_409
| ~ spl2_494 ),
inference(sat_conversion,[],[f41787]) ).
cnf(s3476,plain,
( spl2_143
| spl2_366
| spl2_367 ),
inference(sat_conversion,[],[f41807]) ).
cnf(s3485,plain,
( ~ spl2_10
| spl2_425
| ~ spl2_446 ),
inference(sat_conversion,[],[f41902]) ).
cnf(s3496,plain,
( ~ spl2_112
| ~ spl2_354
| ~ spl2_482 ),
inference(sat_conversion,[],[f42032]) ).
cnf(s3501,plain,
( ~ spl2_31
| spl2_173
| ~ spl2_367
| ~ spl2_501 ),
inference(sat_conversion,[],[f42289]) ).
cnf(s3503,plain,
( ~ spl2_16
| ~ spl2_18
| ~ spl2_417
| spl2_492 ),
inference(sat_conversion,[],[f42293]) ).
cnf(s3508,plain,
( spl2_50
| ~ spl2_112
| spl2_200 ),
inference(sat_conversion,[],[f42302]) ).
cnf(s3510,plain,
( ~ spl2_16
| ~ spl2_18
| spl2_131
| ~ spl2_292 ),
inference(sat_conversion,[],[f42304]) ).
cnf(s3512,plain,
( spl2_45
| spl2_50
| ~ spl2_112
| ~ spl2_113 ),
inference(sat_conversion,[],[f42308]) ).
cnf(s3514,plain,
( ~ spl2_18
| ~ spl2_127
| spl2_142
| ~ spl2_465 ),
inference(sat_conversion,[],[f42310]) ).
cnf(s3515,plain,
( ~ spl2_16
| ~ spl2_18
| spl2_142
| ~ spl2_376 ),
inference(sat_conversion,[],[f42311]) ).
cnf(s3524,plain,
( ~ spl2_16
| spl2_51
| spl2_97 ),
inference(sat_conversion,[],[f42372]) ).
cnf(s3529,plain,
( ~ spl2_20
| spl2_117
| spl2_142
| ~ spl2_378 ),
inference(sat_conversion,[],[f42457]) ).
cnf(s3544,plain,
( ~ spl2_29
| spl2_30
| spl2_117
| spl2_142
| spl2_399 ),
inference(sat_conversion,[],[f42858]) ).
cnf(s3545,plain,
( ~ spl2_116
| ~ spl2_421
| ~ spl2_452
| spl2_496 ),
inference(sat_conversion,[],[f42887]) ).
cnf(s3549,plain,
( ~ spl2_98
| ~ spl2_409
| spl2_425 ),
inference(sat_conversion,[],[f42911]) ).
cnf(s3551,plain,
( ~ spl2_194
| ~ spl2_409
| spl2_416
| spl2_425 ),
inference(sat_conversion,[],[f42913]) ).
cnf(s3552,plain,
( ~ spl2_233
| ~ spl2_418
| ~ spl2_422 ),
inference(sat_conversion,[],[f42918]) ).
cnf(s3561,plain,
( spl2_142
| ~ spl2_345
| ~ spl2_440
| spl2_490 ),
inference(sat_conversion,[],[f43016]) ).
cnf(s3566,plain,
( ~ spl2_156
| spl2_308
| ~ spl2_326
| ~ spl2_377 ),
inference(sat_conversion,[],[f43081]) ).
cnf(s3577,plain,
( spl2_117
| ~ spl2_126
| spl2_142
| ~ spl2_354 ),
inference(sat_conversion,[],[f43182]) ).
cnf(s3579,plain,
( ~ spl2_45
| spl2_47
| ~ spl2_327
| ~ spl2_367 ),
inference(sat_conversion,[],[f43184]) ).
cnf(s3580,plain,
( ~ spl2_16
| spl2_20
| spl2_35
| ~ spl2_127 ),
inference(sat_conversion,[],[f43186]) ).
cnf(s3582,plain,
( spl2_22
| ~ spl2_99
| spl2_203 ),
inference(sat_conversion,[],[f43189]) ).
cnf(s3584,plain,
( ~ spl2_12
| spl2_384
| ~ spl2_396 ),
inference(sat_conversion,[],[f43191]) ).
cnf(s3595,plain,
( ~ spl2_13
| spl2_450 ),
inference(sat_conversion,[],[f43281]) ).
cnf(s3597,plain,
( spl2_35
| spl2_117
| spl2_150 ),
inference(sat_conversion,[],[f43283]) ).
cnf(s3604,plain,
( ~ spl2_64
| ~ spl2_142
| ~ spl2_326 ),
inference(sat_conversion,[],[f43357]) ).
cnf(s3608,plain,
( ~ spl2_8
| spl2_9
| ~ spl2_329
| spl2_399 ),
inference(sat_conversion,[],[f43363]) ).
cnf(s3629,plain,
( ~ spl2_47
| ~ spl2_50
| spl2_233 ),
inference(sat_conversion,[],[f43639]) ).
cnf(s3630,plain,
( spl2_18
| ~ spl2_47
| spl2_233 ),
inference(sat_conversion,[],[f43641]) ).
cnf(s3631,plain,
( ~ spl2_45
| ~ spl2_50
| ~ spl2_233 ),
inference(sat_conversion,[],[f43649]) ).
cnf(s3635,plain,
( ~ spl2_35
| ~ spl2_75
| ~ spl2_116 ),
inference(sat_conversion,[],[f43678]) ).
cnf(s3637,plain,
( spl2_123
| ~ spl2_127
| spl2_533 ),
inference(sat_conversion,[],[f43683]) ).
cnf(s3638,plain,
( spl2_39
| spl2_97
| spl2_227 ),
inference(sat_conversion,[],[f43684]) ).
cnf(s3641,plain,
( ~ spl2_16
| spl2_116
| spl2_126
| ~ spl2_127 ),
inference(sat_conversion,[],[f43690]) ).
cnf(s3650,plain,
( ~ spl2_113
| spl2_116
| spl2_146
| ~ spl2_321 ),
inference(sat_conversion,[],[f43751]) ).
cnf(s3660,plain,
( spl2_131
| ~ spl2_440
| ~ spl2_472
| spl2_490 ),
inference(sat_conversion,[],[f43900]) ).
cnf(s3662,plain,
( spl2_116
| spl2_425
| ~ spl2_472
| spl2_473 ),
inference(sat_conversion,[],[f43904]) ).
cnf(s3664,plain,
( ~ spl2_26
| ~ spl2_126
| spl2_131 ),
inference(sat_conversion,[],[f43961]) ).
cnf(s3665,plain,
( ~ spl2_26
| spl2_28
| ~ spl2_127
| spl2_131 ),
inference(sat_conversion,[],[f43962]) ).
cnf(s3666,plain,
( ~ spl2_26
| ~ spl2_126
| ~ spl2_127 ),
inference(sat_conversion,[],[f43963]) ).
cnf(s3667,plain,
( ~ spl2_9
| ~ spl2_409
| spl2_452 ),
inference(sat_conversion,[],[f43980]) ).
cnf(s3671,plain,
( spl2_22
| ~ spl2_25
| ~ spl2_28 ),
inference(sat_conversion,[],[f44020]) ).
cnf(s3682,plain,
( ~ spl2_35
| ~ spl2_39
| ~ spl2_123
| ~ spl2_156 ),
inference(sat_conversion,[],[f44294]) ).
cnf(s3686,plain,
( ~ spl2_45
| spl2_47
| spl2_190
| ~ spl2_367 ),
inference(sat_conversion,[],[f44299]) ).
cnf(s3689,plain,
( spl2_116
| spl2_123
| ~ spl2_210 ),
inference(sat_conversion,[],[f44303]) ).
cnf(s3694,plain,
( ~ spl2_16
| spl2_123
| ~ spl2_146 ),
inference(sat_conversion,[],[f44312]) ).
cnf(s3696,plain,
( ~ spl2_190
| ~ spl2_292
| ~ spl2_354
| ~ spl2_378 ),
inference(sat_conversion,[],[f44318]) ).
cnf(s3697,plain,
( spl2_39
| ~ spl2_113
| spl2_116
| spl2_147 ),
inference(sat_conversion,[],[f44320]) ).
cnf(s3708,plain,
( ~ spl2_8
| spl2_326
| ~ spl2_329
| spl2_399 ),
inference(sat_conversion,[],[f44336]) ).
cnf(s3711,plain,
( spl2_39
| spl2_97
| ~ spl2_113
| spl2_116 ),
inference(sat_conversion,[],[f44339]) ).
cnf(s3715,plain,
( ~ spl2_8
| ~ spl2_25
| spl2_452
| ~ spl2_530 ),
inference(sat_conversion,[],[f44343]) ).
cnf(s3732,plain,
( ~ spl2_107
| ~ spl2_411
| ~ spl2_452 ),
inference(sat_conversion,[],[f44555]) ).
cnf(s3757,plain,
( spl2_67
| ~ spl2_367
| ~ spl2_521 ),
inference(sat_conversion,[],[f45070]) ).
cnf(s3758,plain,
( spl2_74
| ~ spl2_384
| ~ spl2_521 ),
inference(sat_conversion,[],[f45071]) ).
cnf(s3767,plain,
( ~ spl2_34
| ~ spl2_113
| ~ spl2_376
| spl2_377 ),
inference(sat_conversion,[],[f45092]) ).
cnf(s3781,plain,
( spl2_31
| ~ spl2_34
| ~ spl2_112
| spl2_146 ),
inference(sat_conversion,[],[f45119]) ).
cnf(s3790,plain,
( ~ spl2_18
| ~ spl2_127
| spl2_142
| ~ spl2_465 ),
inference(sat_conversion,[],[f45131]) ).
cnf(s3812,plain,
( ~ spl2_8
| ~ spl2_11
| ~ spl2_14 ),
inference(sat_conversion,[],[f45229]) ).
cnf(s3822,plain,
( spl2_411
| ~ spl2_494
| spl2_500 ),
inference(sat_conversion,[],[f45355]) ).
cnf(s3825,plain,
( spl2_126
| ~ spl2_127
| spl2_421
| ~ spl2_494 ),
inference(sat_conversion,[],[f45358]) ).
cnf(s3832,plain,
( ~ spl2_440
| ~ spl2_472
| ~ spl2_533 ),
inference(sat_conversion,[],[f45432]) ).
cnf(s3857,plain,
( ~ spl2_347
| ~ spl2_354
| spl2_395
| spl2_421 ),
inference(sat_conversion,[],[f45694]) ).
cnf(s3862,plain,
( ~ spl2_22
| ~ spl2_142
| ~ spl2_450
| spl2_534 ),
inference(sat_conversion,[],[f45744]) ).
cnf(s3863,plain,
( spl2_329
| spl2_351
| spl2_450 ),
inference(sat_conversion,[],[f45746]) ).
cnf(s3868,plain,
( spl2_107
| ~ spl2_367
| ~ spl2_534 ),
inference(sat_conversion,[],[f45772]) ).
cnf(s3869,plain,
( spl2_63
| ~ spl2_326
| ~ spl2_534 ),
inference(sat_conversion,[],[f45775]) ).
cnf(s3870,plain,
( spl2_63
| spl2_190
| ~ spl2_534 ),
inference(sat_conversion,[],[f45776]) ).
cnf(s3885,plain,
( ~ spl2_50
| spl2_70
| ~ spl2_318 ),
inference(sat_conversion,[],[f46013]) ).
cnf(s3886,plain,
( ~ spl2_22
| spl2_40
| ~ spl2_318 ),
inference(sat_conversion,[],[f46016]) ).
cnf(s3888,plain,
( spl2_18
| spl2_70
| ~ spl2_318 ),
inference(sat_conversion,[],[f46018]) ).
cnf(s3911,plain,
( ~ spl2_50
| spl2_70
| ~ spl2_123
| ~ spl2_134 ),
inference(sat_conversion,[],[f46690]) ).
cnf(s3912,plain,
( ~ spl2_22
| spl2_40
| ~ spl2_116
| ~ spl2_123 ),
inference(sat_conversion,[],[f46691]) ).
cnf(s3913,plain,
( ~ spl2_50
| spl2_70
| spl2_113
| ~ spl2_123 ),
inference(sat_conversion,[],[f46692]) ).
cnf(s3914,plain,
( ~ spl2_112
| ~ spl2_472
| ~ spl2_490 ),
inference(sat_conversion,[],[f46693]) ).
cnf(s3919,plain,
( ~ spl2_22
| spl2_40
| ~ spl2_367
| ~ spl2_384 ),
inference(sat_conversion,[],[f46795]) ).
cnf(s3920,plain,
( ~ spl2_50
| spl2_70
| ~ spl2_326
| ~ spl2_367 ),
inference(sat_conversion,[],[f46797]) ).
cnf(s3922,plain,
( ~ spl2_50
| spl2_70
| spl2_190
| ~ spl2_367 ),
inference(sat_conversion,[],[f46799]) ).
cnf(s3923,plain,
( ~ spl2_329
| spl2_367
| spl2_457 ),
inference(sat_conversion,[],[f46800]) ).
cnf(s3924,plain,
( ~ spl2_142
| ~ spl2_316
| ~ spl2_399
| spl2_521 ),
inference(sat_conversion,[],[f46801]) ).
cnf(s3925,plain,
( spl2_18
| ~ spl2_142
| ~ spl2_399
| spl2_449 ),
inference(sat_conversion,[],[f46802]) ).
cnf(s3929,plain,
( ~ spl2_29
| spl2_30
| ~ spl2_127
| spl2_156 ),
inference(sat_conversion,[],[f46807]) ).
cnf(s3930,plain,
( ~ spl2_18
| spl2_19
| ~ spl2_127
| spl2_156 ),
inference(sat_conversion,[],[f46808]) ).
cnf(s3931,plain,
( ~ spl2_29
| spl2_156
| ~ spl2_533 ),
inference(sat_conversion,[],[f46809]) ).
cnf(s3937,plain,
( ~ spl2_9
| ~ spl2_18
| spl2_23
| spl2_31 ),
inference(sat_conversion,[],[f46845]) ).
cnf(s3941,plain,
( ~ spl2_35
| spl2_251
| ~ spl2_350
| ~ spl2_501 ),
inference(sat_conversion,[],[f46896]) ).
cnf(s3947,plain,
( ~ spl2_35
| spl2_132
| ~ spl2_425
| ~ spl2_474 ),
inference(sat_conversion,[],[f46966]) ).
cnf(s3949,plain,
( ~ spl2_346
| spl2_434
| ~ spl2_452
| ~ spl2_501 ),
inference(sat_conversion,[],[f46968]) ).
cnf(s3959,plain,
( spl2_268
| ~ spl2_350
| ~ spl2_521 ),
inference(sat_conversion,[],[f47114]) ).
cnf(s3961,plain,
( spl2_64
| spl2_190
| ~ spl2_521 ),
inference(sat_conversion,[],[f47117]) ).
cnf(s3969,plain,
( spl2_409
| ~ spl2_504
| spl2_520 ),
inference(sat_conversion,[],[f47262]) ).
cnf(s3971,plain,
( ~ spl2_35
| ~ spl2_116
| ~ spl2_474
| ~ spl2_504 ),
inference(sat_conversion,[],[f47288]) ).
cnf(s3974,plain,
( ~ spl2_142
| spl2_190
| ~ spl2_323
| spl2_469 ),
inference(sat_conversion,[],[f47321]) ).
cnf(s3978,plain,
( spl2_117
| spl2_126
| ~ spl2_127
| spl2_142
| spl2_377 ),
inference(sat_conversion,[],[f47368]) ).
cnf(s3982,plain,
( ~ spl2_127
| spl2_377
| ~ spl2_525 ),
inference(sat_conversion,[],[f47401]) ).
cnf(s3984,plain,
( ~ spl2_39
| spl2_42
| spl2_113
| ~ spl2_116 ),
inference(sat_conversion,[],[f47404]) ).
cnf(s3997,plain,
( ~ spl2_31
| ~ spl2_45
| ~ spl2_50
| ~ spl2_55 ),
inference(sat_conversion,[],[f47604]) ).
cnf(s4002,plain,
( ~ spl2_112
| spl2_377
| ~ spl2_537 ),
inference(sat_conversion,[],[f47705]) ).
cnf(s4006,plain,
( spl2_18
| ~ spl2_31
| ~ spl2_39
| spl2_55 ),
inference(sat_conversion,[],[f47759]) ).
cnf(s4007,plain,
( ~ spl2_8
| spl2_9
| ~ spl2_406
| spl2_422 ),
inference(sat_conversion,[],[f47760]) ).
cnf(s4008,plain,
( ~ spl2_16
| ~ spl2_18
| spl2_19
| spl2_39 ),
inference(sat_conversion,[],[f47761]) ).
cnf(s4010,plain,
( ~ spl2_16
| ~ spl2_18
| spl2_39
| spl2_97 ),
inference(sat_conversion,[],[f47763]) ).
cnf(s4011,plain,
( spl2_39
| ~ spl2_409
| spl2_410
| spl2_425 ),
inference(sat_conversion,[],[f47764]) ).
cnf(s4012,plain,
( ~ spl2_142
| ~ spl2_326
| ~ spl2_450
| ~ spl2_469 ),
inference(sat_conversion,[],[f47765]) ).
cnf(s4013,plain,
( ~ spl2_8
| ~ spl2_406
| spl2_418
| spl2_422 ),
inference(sat_conversion,[],[f47767]) ).
cnf(s4014,plain,
( spl2_18
| spl2_96
| ~ spl2_97
| ~ spl2_319 ),
inference(sat_conversion,[],[f47768]) ).
cnf(s4016,plain,
( ~ spl2_16
| spl2_31
| spl2_210 ),
inference(sat_conversion,[],[f47770]) ).
cnf(s4017,plain,
( spl2_39
| spl2_97
| ~ spl2_409
| spl2_425 ),
inference(sat_conversion,[],[f47773]) ).
cnf(s4020,plain,
( ~ spl2_18
| spl2_131
| ~ spl2_476 ),
inference(sat_conversion,[],[f47777]) ).
cnf(s4021,plain,
( spl2_18
| ~ spl2_422
| spl2_435
| ~ spl2_492 ),
inference(sat_conversion,[],[f47778]) ).
cnf(s4022,plain,
( spl2_190
| ~ spl2_346
| ~ spl2_422
| spl2_435 ),
inference(sat_conversion,[],[f47780]) ).
cnf(s4024,plain,
( ~ spl2_316
| ~ spl2_422
| ~ spl2_492
| spl2_538 ),
inference(sat_conversion,[],[f47786]) ).
cnf(s4030,plain,
( ~ spl2_113
| spl2_418
| spl2_422
| ~ spl2_506 ),
inference(sat_conversion,[],[f47794]) ).
cnf(s4031,plain,
( ~ spl2_18
| ~ spl2_127
| spl2_134
| spl2_156 ),
inference(sat_conversion,[],[f47795]) ).
cnf(s4048,plain,
( ~ spl2_118
| ~ spl2_377
| spl2_400
| ~ spl2_450 ),
inference(sat_conversion,[],[f48020]) ).
cnf(s4049,plain,
( ~ spl2_116
| ~ spl2_377
| ~ spl2_450
| spl2_534 ),
inference(sat_conversion,[],[f48021]) ).
cnf(s4052,plain,
( ~ spl2_142
| ~ spl2_316
| ~ spl2_399
| spl2_521 ),
inference(sat_conversion,[],[f48024]) ).
cnf(s4060,plain,
( ~ spl2_45
| ~ spl2_97
| ~ spl2_107 ),
inference(sat_conversion,[],[f48107]) ).
cnf(s4061,plain,
( ~ spl2_45
| ~ spl2_50
| ~ spl2_67 ),
inference(sat_conversion,[],[f48129]) ).
cnf(s4062,plain,
( ~ spl2_67
| ~ spl2_142
| ~ spl2_367 ),
inference(sat_conversion,[],[f48131]) ).
cnf(s4064,plain,
( ~ spl2_142
| ~ spl2_268
| ~ spl2_350 ),
inference(sat_conversion,[],[f48192]) ).
cnf(s4072,plain,
( ~ spl2_35
| ~ spl2_350
| ~ spl2_400 ),
inference(sat_conversion,[],[f48304]) ).
cnf(s4085,plain,
( ~ spl2_409
| ~ spl2_472
| ~ spl2_476 ),
inference(sat_conversion,[],[f48439]) ).
cnf(s4087,plain,
( spl2_134
| spl2_156
| ~ spl2_409
| ~ spl2_472 ),
inference(sat_conversion,[],[f48445]) ).
cnf(s4088,plain,
( spl2_156
| ~ spl2_409
| spl2_410
| ~ spl2_472 ),
inference(sat_conversion,[],[f48446]) ).
cnf(s4093,plain,
( spl2_268
| ~ spl2_474
| ~ spl2_538 ),
inference(sat_conversion,[],[f48546]) ).
cnf(s4094,plain,
( spl2_67
| ~ spl2_411
| ~ spl2_538 ),
inference(sat_conversion,[],[f48547]) ).
cnf(s4098,plain,
( ~ spl2_116
| ~ spl2_131
| spl2_160 ),
inference(sat_conversion,[],[f48761]) ).
cnf(s4100,plain,
( ~ spl2_142
| ~ spl2_160
| ~ spl2_377
| spl2_400 ),
inference(sat_conversion,[],[f48783]) ).
cnf(s4103,plain,
( ~ spl2_18
| spl2_45
| spl2_135 ),
inference(sat_conversion,[],[f48786]) ).
cnf(s4111,plain,
( ~ spl2_123
| ~ spl2_131
| spl2_162 ),
inference(sat_conversion,[],[f48821]) ).
cnf(s4124,plain,
( ~ spl2_142
| spl2_190
| spl2_325 ),
inference(sat_conversion,[],[f49065]) ).
cnf(s4126,plain,
( ~ spl2_131
| spl2_251
| ~ spl2_325
| ~ spl2_350 ),
inference(sat_conversion,[],[f49101]) ).
cnf(s4129,plain,
( ~ spl2_34
| spl2_421
| spl2_425
| spl2_511 ),
inference(sat_conversion,[],[f49104]) ).
cnf(s4133,plain,
( spl2_117
| spl2_142
| spl2_367
| spl2_537 ),
inference(sat_conversion,[],[f49195]) ).
cnf(s4136,plain,
( ~ spl2_16
| ~ spl2_18
| ~ spl2_99
| spl2_117
| spl2_142
| spl2_384 ),
inference(sat_conversion,[],[f49201]) ).
cnf(s4140,plain,
( ~ spl2_123
| ~ spl2_421
| ~ spl2_492
| spl2_538 ),
inference(sat_conversion,[],[f49239]) ).
cnf(s4153,plain,
( ~ spl2_25
| spl2_384
| ~ spl2_482 ),
inference(sat_conversion,[],[f49340]) ).
cnf(s4154,plain,
( ~ spl2_418
| ~ spl2_421
| ~ spl2_520 ),
inference(sat_conversion,[],[f49354]) ).
cnf(s4157,plain,
( ~ spl2_161
| ~ spl2_421
| spl2_424
| ~ spl2_452 ),
inference(sat_conversion,[],[f49357]) ).
cnf(s4158,plain,
( ~ spl2_16
| spl2_117
| spl2_142
| spl2_384
| spl2_525 ),
inference(sat_conversion,[],[f49358]) ).
cnf(s4159,plain,
( ~ spl2_16
| spl2_20
| spl2_452
| ~ spl2_494 ),
inference(sat_conversion,[],[f49359]) ).
cnf(s4160,plain,
( ~ spl2_16
| spl2_20
| spl2_117
| spl2_142
| spl2_450 ),
inference(sat_conversion,[],[f49360]) ).
cnf(s4168,plain,
( spl2_24
| ~ spl2_25
| spl2_142
| ~ spl2_329 ),
inference(sat_conversion,[],[f49413]) ).
cnf(s4171,plain,
( spl2_116
| ~ spl2_354
| ~ spl2_378
| spl2_395 ),
inference(sat_conversion,[],[f49456]) ).
cnf(s4175,plain,
( ~ spl2_25
| ~ spl2_329
| ~ spl2_537 ),
inference(sat_conversion,[],[f49535]) ).
cnf(s4176,plain,
( ~ spl2_25
| spl2_450
| ~ spl2_537 ),
inference(sat_conversion,[],[f49537]) ).
cnf(s4177,plain,
( ~ spl2_29
| spl2_399
| ~ spl2_537 ),
inference(sat_conversion,[],[f49538]) ).
cnf(s4178,plain,
( ~ spl2_132
| ~ spl2_377
| spl2_407 ),
inference(sat_conversion,[],[f49581]) ).
cnf(s4179,plain,
( spl2_107
| ~ spl2_123
| ~ spl2_132 ),
inference(sat_conversion,[],[f49583]) ).
cnf(s4182,plain,
( spl2_418
| ~ spl2_494
| spl2_530 ),
inference(sat_conversion,[],[f49586]) ).
cnf(s4185,plain,
( ~ spl2_45
| spl2_47
| spl2_409
| ~ spl2_411 ),
inference(sat_conversion,[],[f49593]) ).
cnf(s4186,plain,
( ~ spl2_18
| spl2_418
| spl2_422
| ~ spl2_494 ),
inference(sat_conversion,[],[f49596]) ).
cnf(s4188,plain,
( ~ spl2_18
| spl2_19
| spl2_117
| spl2_142
| spl2_399 ),
inference(sat_conversion,[],[f49598]) ).
cnf(s4190,plain,
( ~ spl2_18
| spl2_117
| spl2_142
| spl2_326
| spl2_399 ),
inference(sat_conversion,[],[f49600]) ).
cnf(s4191,plain,
( ~ spl2_18
| spl2_19
| spl2_422
| ~ spl2_494 ),
inference(sat_conversion,[],[f49601]) ).
cnf(s4195,plain,
( spl2_8
| ~ spl2_39
| spl2_468 ),
inference(sat_conversion,[],[f49628]) ).
cnf(s4238,plain,
( ~ spl2_411
| ~ spl2_421
| ~ spl2_504 ),
inference(sat_conversion,[],[f50360]) ).
cnf(s4240,plain,
( ~ spl2_127
| spl2_421
| ~ spl2_510 ),
inference(sat_conversion,[],[f50364]) ).
cnf(s4250,plain,
( spl2_121
| spl2_127
| spl2_131 ),
inference(sat_conversion,[],[f50428]) ).
cnf(s4257,plain,
( spl2_24
| ~ spl2_25
| spl2_142
| ~ spl2_329 ),
inference(sat_conversion,[],[f50476]) ).
cnf(s4263,plain,
( spl2_45
| ~ spl2_112
| ~ spl2_113
| spl2_147 ),
inference(sat_conversion,[],[f50523]) ).
cnf(s4299,plain,
( ~ spl2_131
| spl2_314
| ~ spl2_350
| ~ spl2_377 ),
inference(sat_conversion,[],[f51112]) ).
cnf(s4301,plain,
( ~ spl2_131
| ~ spl2_142
| ~ spl2_367
| ~ spl2_377 ),
inference(sat_conversion,[],[f51132]) ).
cnf(s4303,plain,
( ~ spl2_142
| ~ spl2_314
| ~ spl2_350
| ~ spl2_377 ),
inference(sat_conversion,[],[f51151]) ).
cnf(s4304,plain,
( ~ spl2_18
| spl2_123
| ~ spl2_147 ),
inference(sat_conversion,[],[f51152]) ).
cnf(s4305,plain,
( ~ spl2_45
| ~ spl2_131
| ~ spl2_265 ),
inference(sat_conversion,[],[f51153]) ).
cnf(s4307,plain,
( ~ spl2_45
| spl2_47
| ~ spl2_411
| ~ spl2_418 ),
inference(sat_conversion,[],[f51156]) ).
cnf(s4309,plain,
( ~ spl2_46
| ~ spl2_113
| spl2_123
| spl2_147 ),
inference(sat_conversion,[],[f51158]) ).
cnf(s4310,plain,
( ~ spl2_16
| spl2_425
| spl2_492
| spl2_510 ),
inference(sat_conversion,[],[f51159]) ).
cnf(s4314,plain,
( ~ spl2_34
| ~ spl2_112
| spl2_377
| ~ spl2_457 ),
inference(sat_conversion,[],[f51163]) ).
cnf(s4318,plain,
( spl2_16
| spl2_22
| spl2_23 ),
inference(sat_conversion,[],[f51194]) ).
cnf(s4319,plain,
( ~ spl2_22
| ~ spl2_39
| spl2_42
| ~ spl2_320 ),
inference(sat_conversion,[],[f51204]) ).
cnf(s4320,plain,
( spl2_23
| spl2_25
| spl2_31 ),
inference(sat_conversion,[],[f51209]) ).
cnf(s4326,plain,
( spl2_112
| spl2_121
| spl2_123 ),
inference(sat_conversion,[],[f51256]) ).
cnf(s4340,plain,
( spl2_349
| spl2_492
| spl2_494 ),
inference(sat_conversion,[],[f51427]) ).
cnf(s4345,plain,
( ~ spl2_347
| ~ spl2_378
| spl2_425
| spl2_426 ),
inference(sat_conversion,[],[f51542]) ).
cnf(s4347,plain,
( ~ spl2_143
| ~ spl2_426
| ~ spl2_494 ),
inference(sat_conversion,[],[f51633]) ).
cnf(s4348,plain,
( ~ spl2_143
| ~ spl2_426
| spl2_492 ),
inference(sat_conversion,[],[f51635]) ).
cnf(s4349,plain,
( spl2_113
| ~ spl2_131
| spl2_539 ),
inference(sat_conversion,[],[f51636]) ).
cnf(s4350,plain,
( spl2_134
| ~ spl2_150
| spl2_292 ),
inference(sat_conversion,[],[f51637]) ).
cnf(s4351,plain,
( ~ spl2_131
| ~ spl2_134
| spl2_539 ),
inference(sat_conversion,[],[f51650]) ).
cnf(s4363,plain,
( spl2_365
| spl2_421
| spl2_506 ),
inference(sat_conversion,[],[f51806]) ).
cnf(s4371,plain,
( spl2_96
| ~ spl2_97
| spl2_190
| ~ spl2_501 ),
inference(sat_conversion,[],[f52010]) ).
cnf(s4385,plain,
( spl2_116
| spl2_156
| spl2_292 ),
inference(sat_conversion,[],[f52307]) ).
cnf(s4388,plain,
( ~ spl2_123
| ~ spl2_131
| ~ spl2_142
| ~ spl2_350 ),
inference(sat_conversion,[],[f52460]) ).
cnf(s4389,plain,
( ~ spl2_131
| ~ spl2_134
| ~ spl2_142
| ~ spl2_350 ),
inference(sat_conversion,[],[f52463]) ).
cnf(s4390,plain,
( spl2_113
| ~ spl2_131
| ~ spl2_142
| ~ spl2_350 ),
inference(sat_conversion,[],[f52467]) ).
cnf(s4392,plain,
( ~ spl2_16
| spl2_116
| spl2_131
| ~ spl2_150 ),
inference(sat_conversion,[],[f52469]) ).
cnf(s4393,plain,
( ~ spl2_16
| spl2_20
| spl2_131
| ~ spl2_150 ),
inference(sat_conversion,[],[f52472]) ).
cnf(s4395,plain,
( ~ spl2_347
| ~ spl2_378
| spl2_396
| spl2_452 ),
inference(sat_conversion,[],[f52478]) ).
cnf(s4397,plain,
( spl2_24
| ~ spl2_25
| spl2_131
| ~ spl2_150 ),
inference(sat_conversion,[],[f52480]) ).
cnf(s4398,plain,
( ~ spl2_25
| spl2_131
| ~ spl2_151 ),
inference(sat_conversion,[],[f52481]) ).
cnf(s4400,plain,
( ~ spl2_39
| spl2_42
| spl2_409
| ~ spl2_425 ),
inference(sat_conversion,[],[f52485]) ).
cnf(s4402,plain,
( ~ spl2_34
| spl2_146
| ~ spl2_330
| spl2_377 ),
inference(sat_conversion,[],[f52486]) ).
cnf(s4404,plain,
( ~ spl2_8
| ~ spl2_329
| ~ spl2_441
| spl2_452 ),
inference(sat_conversion,[],[f52492]) ).
cnf(s4408,plain,
( ~ spl2_50
| spl2_96
| ~ spl2_134
| ~ spl2_539 ),
inference(sat_conversion,[],[f52499]) ).
cnf(s4411,plain,
( ~ spl2_97
| spl2_140
| spl2_409
| ~ spl2_425 ),
inference(sat_conversion,[],[f52504]) ).
cnf(s4412,plain,
( ~ spl2_34
| spl2_146
| spl2_452
| ~ spl2_506 ),
inference(sat_conversion,[],[f52505]) ).
cnf(s4413,plain,
( ~ spl2_50
| spl2_96
| spl2_190
| ~ spl2_325 ),
inference(sat_conversion,[],[f52506]) ).
cnf(s4414,plain,
( ~ spl2_50
| spl2_96
| spl2_113
| ~ spl2_539 ),
inference(sat_conversion,[],[f52507]) ).
cnf(s4415,plain,
( spl2_10
| ~ spl2_11
| ~ spl2_150
| spl2_156 ),
inference(sat_conversion,[],[f52508]) ).
cnf(s4417,plain,
( ~ spl2_8
| ~ spl2_150
| spl2_450
| ~ spl2_465 ),
inference(sat_conversion,[],[f52510]) ).
cnf(s4421,plain,
( ~ spl2_8
| spl2_9
| ~ spl2_150
| spl2_156 ),
inference(sat_conversion,[],[f52514]) ).
cnf(s4428,plain,
~ spl2_121,
inference(rat,[],[s368,s43]) ).
cnf(s4430,plain,
( spl2_16
| spl2_22 ),
inference(rat,[],[s9,s43]) ).
cnf(s4431,plain,
( ~ spl2_116
| ~ spl2_137
| spl2_40
| ~ spl2_22
| spl2_42
| ~ spl2_39 ),
inference(rat,[],[s232,s3912,s3984]) ).
cnf(s4434,plain,
( ~ spl2_409
| ~ spl2_123
| ~ spl2_58
| spl2_67
| ~ spl2_31
| ~ spl2_19
| ~ spl2_34
| spl2_116
| ~ spl2_137
| spl2_93
| spl2_349 ),
inference(rat,[],[s3302,s4129,s2994,s4140,s4094,s2956,s1589,s4340,s1505,s3473]) ).
cnf(s4435,plain,
( spl2_384
| spl2_504
| spl2_452
| spl2_425
| spl2_35
| spl2_116
| spl2_117 ),
inference(rat,[],[s2734,s3032,s4345,s1768,s1814,s4171,s1463,s1812,s4129,s3302,s2314]) ).
cnf(s4436,plain,
( ~ spl2_384
| ~ spl2_31
| ~ spl2_137
| spl2_93
| spl2_42
| ~ spl2_39 ),
inference(rat,[],[s1314,s3129,s3279]) ).
cnf(s4437,plain,
( ~ spl2_123
| spl2_384
| ~ spl2_58
| spl2_67
| ~ spl2_31
| ~ spl2_19
| spl2_116
| ~ spl2_137
| spl2_93
| ~ spl2_29
| spl2_82
| spl2_12
| ~ spl2_39
| ~ spl2_97 ),
inference(rat,[],[s2734,s4345,s3032,s4348,s3969,s4140,s4154,s2606,s4402,s3323,s4093,s3959,s4064,s4133,s4177,s3454,s2805,s2290,s2305,s1356,s2123,s3114,s4371,s1644,s1314,s1780,s3085,s2053,s1768,s3662,s4171,s1693,s3020,s1812,s3597,s4411,s1626,s311,s4434,s281,s3296,s1125,s301,s454,s1800,s1326,s2314,s153,s1463,s47]) ).
cnf(s4438,plain,
( ~ spl2_425
| ~ spl2_31
| ~ spl2_137
| spl2_93
| spl2_42
| ~ spl2_39 ),
inference(rat,[],[s1505,s2956,s4400]) ).
cnf(s4440,plain,
( spl2_35
| spl2_384
| spl2_513
| ~ spl2_123
| ~ spl2_25
| spl2_116
| ~ spl2_137
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s3159,s3323,s4398,s3959,s4388,s4064,s4133,s2123,s4176,s3114,s4371,s1314,s3085,s1768,s4171,s1812,s3597,s1463]) ).
cnf(s4441,plain,
( ~ spl2_35
| ~ spl2_123
| ~ spl2_19
| ~ spl2_22
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s371,s839,s268,s222,s4179,s2074]) ).
cnf(s4442,plain,
( ~ spl2_384
| ~ spl2_137
| spl2_40
| ~ spl2_22
| spl2_42
| ~ spl2_39 ),
inference(rat,[],[s1314,s3129,s3919]) ).
cnf(s4443,plain,
( ~ spl2_123
| ~ spl2_25
| ~ spl2_19
| spl2_384
| spl2_116
| ~ spl2_137
| ~ spl2_22
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s4440,s4441,s3296,s282]) ).
cnf(s4445,plain,
( ~ spl2_452
| spl2_435
| spl2_423
| spl2_19
| ~ spl2_58
| ~ spl2_18
| spl2_349
| spl2_8 ),
inference(rat,[],[s4191,s4340,s3234,s2994]) ).
cnf(s4446,plain,
( ~ spl2_123
| ~ spl2_31
| ~ spl2_22
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s4238,s4129,s4435,s3302,s4445,s1653,s1589,s1505,s3454,s4188,s2805,s4388,s2290,s4250,s2305,s3930,s2123,s2929,s3114,s1371,s4371,s1385,s1644,s1314,s3085,s1768,s4171,s1812,s311,s4437,s264,s281,s3296,s1326,s282,s2121,s25,s2314,s4431,s153,s1463,s4442,s1707,s70,s2873,s1617,s1693,s4438,s183,s59,s85,s803,s295,s301,s454,s107,s1753,s868,s1125,s609,s1800,s4428,s47]) ).
cnf(s4447,plain,
( spl2_190
| ~ spl2_19
| spl2_123
| ~ spl2_58
| spl2_425
| ~ spl2_31
| spl2_384
| spl2_116
| ~ spl2_137
| ~ spl2_29
| spl2_12
| ~ spl2_39
| ~ spl2_97 ),
inference(rat,[],[s4435,s4238,s2994,s2606,s1589,s4340,s4402,s1505,s3473,s3450,s3454,s3544,s4390,s2805,s4250,s2290,s3637,s3103,s2305,s1356,s3931,s262,s2123,s2929,s3114,s1371,s4371,s1385,s1644,s1326,s2314,s153,s1693,s1800,s162,s820,s1125,s1768,s4171,s1812,s371,s839,s232,s454,s1463,s4428,s47]) ).
cnf(s4448,plain,
( ~ spl2_19
| spl2_123
| ~ spl2_58
| spl2_425
| ~ spl2_31
| spl2_384
| spl2_116
| ~ spl2_137
| ~ spl2_29
| spl2_12
| ~ spl2_39
| ~ spl2_97 ),
inference(rat,[],[s4238,s4129,s4435,s3302,s2994,s1589,s4340,s1505,s3473,s2589,s3931,s3637,s170,s4390,s2910,s4447,s1326,s2314,s820,s1125,s1768,s4171,s1812,s1463,s2053,s3662,s3020,s3597,s371,s839,s232,s454,s153,s47]) ).
cnf(s4450,plain,
( spl2_409
| spl2_19
| spl2_35
| ~ spl2_58
| spl2_425
| spl2_384
| spl2_116
| ~ spl2_18
| spl2_12
| spl2_233
| spl2_8 ),
inference(rat,[],[s4154,s3969,s4129,s4435,s3302,s4445,s1654,s2029,s1626,s609,s1326,s2314,s153,s47]) ).
cnf(s4451,plain,
( ~ spl2_31
| ~ spl2_22
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s4238,s4129,s4435,s3302,s4445,s1653,s1589,s1505,s4450,s4448,s371,s839,s232,s4446,s2873,s4438,s1707,s1617,s1326,s2121,s25,s107,s1753,s2314,s4431,s153,s4442,s183,s59,s295,s301,s454,s85,s803,s868,s1125,s609,s47]) ).
cnf(s4452,plain,
( ~ spl2_123
| spl2_35
| ~ spl2_25
| spl2_384
| spl2_116
| ~ spl2_137
| spl2_82
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s4440,s3296]) ).
cnf(s4453,plain,
( spl2_190
| ~ spl2_450
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s3114,s4371]) ).
cnf(s4454,plain,
( spl2_35
| ~ spl2_25
| spl2_384
| spl2_116
| ~ spl2_137
| ~ spl2_18
| spl2_82
| spl2_12
| spl2_96
| spl2_8 ),
inference(rat,[],[s2911,s1679,s1681,s2992,s1314,s4453,s3863,s4257,s2856,s4390,s4397,s2600,s232,s4452,s1768,s4171,s1812,s3597,s609,s1298,s153,s1463,s47]) ).
cnf(s4455,plain,
( ~ spl2_123
| ~ spl2_35
| ~ spl2_25
| spl2_384
| spl2_116
| ~ spl2_137
| ~ spl2_18
| ~ spl2_22
| spl2_117
| ~ spl2_39
| ~ spl2_97 ),
inference(rat,[],[s222,s4250,s4179,s3930,s2074,s3682,s4443,s454,s4428]) ).
cnf(s4456,plain,
( ~ spl2_22
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s371,s839,s232,s4455,s4454,s752,s4451,s4442,s4431,s183,s295,s2121,s59,s85,s282,s803,s301,s454,s868,s1125,s609,s153,s47]) ).
cnf(s4457,plain,
( ~ spl2_123
| ~ spl2_350
| ~ spl2_131
| ~ spl2_378
| ~ spl2_137
| ~ spl2_16
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s4453,s1314,s4160,s3529,s3085,s4388,s3296,s470]) ).
cnf(s4458,plain,
( spl2_35
| spl2_384
| spl2_116
| ~ spl2_137
| spl2_153
| ~ spl2_16
| spl2_117
| spl2_96
| spl2_8 ),
inference(rat,[],[s2911,s1679,s2992,s1314,s2856,s4453,s44,s4160,s3529,s4408,s4349,s4390,s493,s232,s4457,s1768,s4171,s4392,s1812,s3597,s609,s1463]) ).
cnf(s4459,plain,
( ~ spl2_123
| ~ spl2_35
| spl2_116
| ~ spl2_31
| ~ spl2_16
| ~ spl2_39 ),
inference(rat,[],[s3510,s284,s470,s281,s4385,s311,s3682]) ).
cnf(s4460,plain,
( ~ spl2_35
| spl2_116
| ~ spl2_137
| ~ spl2_31
| ~ spl2_16
| ~ spl2_39
| ~ spl2_97 ),
inference(rat,[],[s371,s839,s232,s4459,s454]) ).
cnf(s4461,plain,
( ~ spl2_142
| ~ spl2_93
| ~ spl2_31 ),
inference(rat,[],[s3216,s3276]) ).
cnf(s4462,plain,
( ~ spl2_18
| spl2_142
| spl2_449
| spl2_326
| ~ spl2_190
| ~ spl2_16
| spl2_117
| spl2_8 ),
inference(rat,[],[s2628,s2911,s3515,s4190]) ).
cnf(s4463,plain,
( spl2_18
| ~ spl2_323
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s4014,s2933]) ).
cnf(s4464,plain,
( spl2_116
| spl2_384
| ~ spl2_137
| ~ spl2_31
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s4458,s4460,s609,s454,s153,s4318,s4456,s1707,s43,s47]) ).
cnf(s4465,plain,
( spl2_384
| ~ spl2_137
| ~ spl2_31
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s4453,s2827,s3354,s1768,s4158,s4457,s4461,s4020,s312,s2631,s232,s3024,s3984,s3390,s4464,s1463,s803,s868,s1125,s153,s4318,s4456,s4463,s1617,s454,s609,s43,s47]) ).
cnf(s4466,plain,
( ~ spl2_137
| ~ spl2_31
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s4462,s1679,s4461,s1371,s1314,s4436,s2471,s3129,s4465,s868,s1125,s153,s4318,s4456,s1707,s4463,s1617,s454,s609,s43,s47]) ).
cnf(s4467,plain,
( ~ spl2_131
| ~ spl2_47
| ~ spl2_45 ),
inference(rat,[],[s3172,s4305]) ).
cnf(s4468,plain,
( spl2_116
| spl2_384
| ~ spl2_31
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s2956,s4310,s4461,s2296,s3254,s4158,s3065,s4412,s3982,s4240,s4363,s3215,s2767,s2779,s3694,s162,s3052,s2781,s3682,s3666,s227,s4385,s3641,s4392,s2314,s153,s3235,s1707,s170,s3510,s4467,s113,s4103,s230,s4466,s4318,s4456,s4463,s1617,s454,s609,s43,s47]) ).
cnf(s4469,plain,
( ~ spl2_116
| spl2_476
| spl2_42
| ~ spl2_39
| spl2_79 ),
inference(rat,[],[s2631,s3024,s3984,s3390]) ).
cnf(s4470,plain,
( ~ spl2_31
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s2628,s2909,s3767,s2610,s820,s2767,s3129,s1710,s2781,s227,s4468,s4385,s4392,s2314,s4469,s3510,s4020,s4467,s113,s4103,s230,s4466,s4463,s1617,s803,s454,s4195,s868,s1125,s609,s153,s4318,s4456,s43,s47]) ).
cnf(s4471,plain,
( spl2_35
| ~ spl2_123
| spl2_116
| ~ spl2_137
| spl2_384
| ~ spl2_25
| ~ spl2_16
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s470,s4392,s4452,s3597]) ).
cnf(s4472,plain,
( ~ spl2_425
| ~ spl2_476
| spl2_132
| ~ spl2_35
| spl2_42
| ~ spl2_39 ),
inference(rat,[],[s2053,s4085,s3947,s4400]) ).
cnf(s4473,plain,
( spl2_425
| ~ spl2_146
| ~ spl2_142
| ~ spl2_329
| spl2_67
| ~ spl2_161
| ~ spl2_123
| spl2_384
| ~ spl2_25
| ~ spl2_37
| ~ spl2_16
| spl2_117
| spl2_349
| spl2_416 ),
inference(rat,[],[s4157,s4159,s3098,s3369,s4340,s2805,s4140,s2290,s4094,s2305,s2760,s2606,s2478,s1693]) ).
cnf(s4474,plain,
( spl2_113
| ~ spl2_35
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s371,s839]) ).
cnf(s4475,plain,
( ~ spl2_131
| spl2_425
| ~ spl2_292
| ~ spl2_161
| ~ spl2_123
| ~ spl2_34
| ~ spl2_137
| spl2_384
| ~ spl2_25
| ~ spl2_37
| ~ spl2_16
| spl2_117
| spl2_349
| spl2_416
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s3323,s4402,s3961,s4473,s3604,s1356,s4158,s2123,s3354,s4453,s1385,s3696,s1768,s4457,s3188,s1463]) ).
cnf(s4476,plain,
( spl2_142
| spl2_513
| ~ spl2_126
| spl2_20
| ~ spl2_123
| ~ spl2_137
| ~ spl2_16
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s3085,s1314,s1768,s4453,s3577,s4160]) ).
cnf(s4477,plain,
( spl2_190
| ~ spl2_142
| ~ spl2_50
| spl2_96 ),
inference(rat,[],[s4124,s4413]) ).
cnf(s4478,plain,
( spl2_116
| ~ spl2_137
| spl2_384
| ~ spl2_25
| ~ spl2_210
| ~ spl2_37
| ~ spl2_16
| spl2_117
| spl2_349
| spl2_416
| spl2_42
| ~ spl2_39
| ~ spl2_97 ),
inference(rat,[],[s1768,s3085,s3696,s1314,s4477,s4476,s3296,s3641,s3257,s44,s284,s170,s4020,s4475,s4472,s2631,s4474,s4385,s4179,s3682,s2074,s311,s4471,s3689,s2314,s454,s1463]) ).
cnf(s4479,plain,
( ~ spl2_131
| ~ spl2_292
| ~ spl2_150
| ~ spl2_123
| ~ spl2_116
| ~ spl2_137
| spl2_384
| ~ spl2_16
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s4100,s2246,s4158,s2835,s3354,s4453,s1587,s3696,s1768,s4457,s4098,s1463]) ).
cnf(s4480,plain,
( spl2_35
| ~ spl2_476
| ~ spl2_113
| ~ spl2_116
| ~ spl2_137
| spl2_384
| ~ spl2_16
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s1768,s3085,s3696,s1314,s4477,s3296,s3529,s44,s284,s4393,s4020,s4479,s1396,s3597,s1463,s232]) ).
cnf(s4481,plain,
( ~ spl2_492
| spl2_434
| ~ spl2_325
| ~ spl2_354
| spl2_538
| spl2_425
| ~ spl2_123
| ~ spl2_378
| spl2_117 ),
inference(rat,[],[s4345,s2734,s2209,s2857,s4140]) ).
cnf(s4482,plain,
( ~ spl2_18
| ~ spl2_137
| spl2_384
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s1653,s3234,s1581,s4186,s4159,s3098,s4340,s4481,s2193,s2724,s2839,s2805,s2246,s2290,s4100,s4124,s2305,s4158,s2123,s3354,s4453,s1587,s1644,s2827,s1768,s4094,s4457,s3188,s4098,s4020,s1463,s232,s262,s3024,s3390,s1693,s2760,s2478,s4472,s4480,s3984,s454,s174,s1753,s4469,s4478,s4016,s22,s4318,s4456,s153,s1326,s1800,s803,s868,s1125,s609,s752,s4470,s47,s43]) ).
cnf(s4483,plain,
( spl2_190
| ~ spl2_50
| spl2_384
| ~ spl2_16
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s4158,s3354,s4477,s4453]) ).
cnf(s4484,plain,
( ~ spl2_137
| spl2_384
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s1768,s3085,s2827,s1314,s4483,s3296,s44,s284,s4482,s232,s4469,s3984,s4478,s803,s454,s868,s1125,s609,s1800,s1326,s153,s22,s4016,s4318,s4456,s752,s4470,s43,s47]) ).
cnf(s4485,plain,
( ~ spl2_131
| spl2_399
| spl2_377
| ~ spl2_142
| ~ spl2_45
| ~ spl2_123 ),
inference(rat,[],[s2839,s2246,s262,s1768,s1107,s4388,s470]) ).
cnf(s4486,plain,
( spl2_190
| ~ spl2_45
| ~ spl2_18
| ~ spl2_123
| spl2_116
| spl2_384
| ~ spl2_25
| ~ spl2_16
| spl2_117
| ~ spl2_39
| ~ spl2_97 ),
inference(rat,[],[s3682,s1407,s4385,s4398,s3510,s4485,s4052,s3323,s3961,s3604,s4158,s2123,s3354,s4453,s1385,s454,s1875]) ).
cnf(s4487,plain,
( ~ spl2_131
| ~ spl2_190
| ~ spl2_45
| ~ spl2_18
| ~ spl2_123
| spl2_116
| spl2_384
| ~ spl2_16
| spl2_117
| spl2_8 ),
inference(rat,[],[s2911,s3354,s4188,s2910,s4158,s4388,s2696,s1768,s3696,s4385,s1107,s4305,s470,s1463]) ).
cnf(s4488,plain,
( ~ spl2_18
| spl2_116
| spl2_384
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s3682,s227,s4385,s4392,s3510,s4487,s4486,s4103,s609,s153,s752,s230,s4484,s3689,s4016,s4470,s4318,s4456,s43,s47]) ).
cnf(s4489,plain,
( ~ spl2_399
| ~ spl2_350
| ~ spl2_48 ),
inference(rat,[],[s2696,s2693,s2697]) ).
cnf(s4490,plain,
( ~ spl2_425
| spl2_399
| ~ spl2_350
| ~ spl2_450
| ~ spl2_190
| spl2_117
| spl2_42
| ~ spl2_39 ),
inference(rat,[],[s2048,s2049,s2805,s2962,s4400,s2019]) ).
cnf(s4491,plain,
( spl2_422
| spl2_418
| ~ spl2_411
| spl2_425
| ~ spl2_350
| ~ spl2_113
| ~ spl2_190
| ~ spl2_34
| spl2_117 ),
inference(rat,[],[s3032,s4238,s2734,s4129,s1764,s3301]) ).
cnf(s4492,plain,
( ~ spl2_350
| ~ spl2_48
| ~ spl2_450
| spl2_142
| ~ spl2_113
| ~ spl2_190
| spl2_513
| spl2_47
| ~ spl2_123
| ~ spl2_34
| ~ spl2_25
| ~ spl2_37
| spl2_117
| spl2_42
| ~ spl2_39 ),
inference(rat,[],[s1653,s2692,s1581,s4491,s4307,s2760,s2478,s4490,s226,s4177,s4489,s4133,s3085]) ).
cnf(s4493,plain,
( ~ spl2_354
| spl2_134
| ~ spl2_190
| ~ spl2_123
| spl2_116
| spl2_384
| ~ spl2_39 ),
inference(rat,[],[s3682,s1812,s2836,s4171,s1463]) ).
cnf(s4494,plain,
( spl2_142
| ~ spl2_350
| ~ spl2_190
| spl2_18
| ~ spl2_123
| ~ spl2_34
| ~ spl2_378
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s33,s4492,s8,s4160,s3529,s868,s153,s4318,s22,s4456,s752,s4470,s3630,s1125,s609,s3296,s284,s3913,s382,s454,s44,s43,s47]) ).
cnf(s4495,plain,
( spl2_116
| spl2_384
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s33,s4489,s8,s2610,s3257,s3323,s170,s3959,s4388,s4064,s4494,s1768,s4493,s3913,s3911,s4483,s382,s44,s4488,s3689,s2314,s609,s454,s153,s4016,s4470,s4318,s4456,s1463,s43,s47]) ).
cnf(s4496,plain,
( spl2_190
| ~ spl2_123
| ~ spl2_160
| ~ spl2_131
| ~ spl2_45
| ~ spl2_25
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s4052,s3961,s4485,s3604,s4100,s4133,s4176,s3686,s4453,s1385,s1587,s1875,s4467]) ).
cnf(s4498,plain,
( spl2_190
| ~ spl2_160
| ~ spl2_131
| ~ spl2_45
| ~ spl2_154
| spl2_251
| ~ spl2_25
| spl2_117
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s2839,s2246,s4052,s1768,s3961,s4126,s3604,s4100,s4124,s4133,s4176,s3686,s4453,s1385,s1587,s1875,s4467]) ).
cnf(s4499,plain,
( spl2_142
| spl2_449
| ~ spl2_190
| ~ spl2_18
| spl2_384
| ~ spl2_16
| spl2_117
| spl2_8 ),
inference(rat,[],[s2911,s3354,s4188,s2910,s4158]) ).
cnf(s4500,plain,
( ~ spl2_18
| ~ spl2_154
| ~ spl2_476
| ~ spl2_113
| spl2_251
| ~ spl2_116
| spl2_135
| spl2_384
| ~ spl2_25
| ~ spl2_16
| spl2_117
| spl2_96
| spl2_8 ),
inference(rat,[],[s4299,s4303,s2610,s4052,s3959,s4064,s4499,s2696,s1768,s2827,s4498,s4098,s4305,s1875,s4020,s4103,s609]) ).
cnf(s4501,plain,
( ~ spl2_326
| ~ spl2_534
| spl2_329 ),
inference(rat,[],[s3869,s1372]) ).
cnf(s4502,plain,
( spl2_422
| spl2_418
| ~ spl2_411
| spl2_365
| ~ spl2_350
| ~ spl2_190
| ~ spl2_113
| spl2_117 ),
inference(rat,[],[s3032,s4238,s2734,s4363,s1764,s4030]) ).
cnf(s4503,plain,
( ~ spl2_422
| ~ spl2_411
| ~ spl2_48 ),
inference(rat,[],[s1653,s2692,s1581]) ).
cnf(s4504,plain,
( spl2_142
| spl2_384
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s1354,s3868,s4133,s4177,s226,s4307,s4502,s4503,s2760,s2478,s4049,s4490,s2610,s4489,s33,s8,s3352,s3354,s3529,s4158,s22,s1463,s3630,s3052,s11,s2725,s1768,s2827,s4483,s44,s3671,s3237,s3888,s382,s4500,s262,s3024,s3390,s4469,s803,s3984,s868,s1125,s609,s2318,s4495,s230,s4484,s752,s4470,s4318,s4456,s153,s454,s47,s43]) ).
cnf(s4505,plain,
( ~ spl2_399
| ~ spl2_142
| ~ spl2_350
| spl2_18 ),
inference(rat,[],[s2696,s3925,s2697]) ).
cnf(s4506,plain,
( spl2_20
| spl2_384
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s4502,s4307,s4503,s2760,s2478,s4472,s33,s3580,s8,s22,s174,s1753,s3630,s3052,s11,s2725,s3671,s3237,s3888,s382,s226,s3929,s3103,s162,s3323,s3959,s4064,s170,s4299,s4303,s2610,s4505,s4504,s1768,s2827,s4483,s44,s4500,s262,s4469,s3984,s868,s1125,s2318,s230,s4484,s752,s4470,s4318,s4456,s153,s454,s609,s3024,s3390,s803,s4495,s47,s43]) ).
cnf(s4507,plain,
( spl2_35
| spl2_131
| spl2_123
| ~ spl2_25
| spl2_117 ),
inference(rat,[],[s2600,s761,s3597]) ).
cnf(s4508,plain,
( spl2_384
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s4024,s4340,s4502,s4094,s4307,s3098,s2760,s2478,s1693,s4472,s4507,s4506,s4061,s1875,s226,s3929,s3103,s170,s162,s4299,s3323,s4303,s2610,s4505,s3959,s4064,s4504,s3052,s11,s2725,s1768,s3237,s2827,s3888,s4483,s382,s3630,s44,s4500,s262,s3024,s4469,s174,s3984,s3390,s2318,s4495,s230,s4484,s803,s454,s1753,s868,s1125,s609,s1800,s1326,s153,s4318,s22,s3671,s752,s4470,s4456,s43,s47]) ).
cnf(s4509,plain,
( spl2_142
| ~ spl2_18
| ~ spl2_190
| spl2_408
| ~ spl2_16
| spl2_117
| ~ spl2_468 ),
inference(rat,[],[s2909,s2628,s4188,s2910,s3515]) ).
cnf(s4510,plain,
( spl2_131
| ~ spl2_18
| ~ spl2_123
| spl2_116
| ~ spl2_16
| ~ spl2_39 ),
inference(rat,[],[s3682,s227,s4385,s4392,s3510]) ).
cnf(s4511,plain,
( spl2_450
| ~ spl2_484
| spl2_377
| ~ spl2_34
| ~ spl2_190
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s371,s839,s227,s3767,s2835,s2628]) ).
cnf(s4512,plain,
( ~ spl2_425
| spl2_399
| ~ spl2_450
| ~ spl2_384
| spl2_117
| spl2_42
| spl2_75
| ~ spl2_39 ),
inference(rat,[],[s2805,s1668,s2963,s4400,s1371,s2471]) ).
cnf(s4513,plain,
( spl2_422
| spl2_365
| spl2_418
| spl2_538
| ~ spl2_411
| spl2_425
| ~ spl2_18
| ~ spl2_123
| ~ spl2_34
| ~ spl2_190
| ~ spl2_384
| spl2_117
| spl2_349 ),
inference(rat,[],[s2942,s1507,s4412,s3331,s2606,s4363,s4140,s2734,s4340,s1764,s4186]) ).
cnf(s4514,plain,
( ~ spl2_18
| spl2_116
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s3302,s4129,s3234,s3339,s4513,s3042,s2805,s1668,s3359,s2831,s2589,s2053,s3662,s1653,s4094,s3020,s2760,s2478,s4512,s826,s3597,s262,s4474,s820,s2839,s2610,s2909,s4511,s2246,s1768,s4388,s3188,s4510,s3317,s3388,s4509,s454,s4195,s1753,s1326,s22,s752,s1710,s3129,s1371,s2471,s4508,s868,s1125,s609,s2314,s153,s3689,s4016,s4470,s4318,s4456,s43,s47]) ).
cnf(s4515,plain,
( ~ spl2_350
| spl2_142
| spl2_116
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s1653,s3012,s1581,s30,s4502,s4307,s8,s226,s2760,s2478,s33,s4177,s4490,s4492,s2909,s4176,s3052,s4133,s11,s3085,s2067,s4195,s22,s3671,s752,s1710,s3129,s4508,s868,s2314,s153,s3630,s1125,s609,s3296,s284,s3913,s3689,s4016,s4470,s4318,s4456,s3237,s3885,s44,s382,s4514,s454,s43,s47]) ).
cnf(s4516,plain,
( spl2_142
| spl2_116
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s2894,s264,s4250,s826,s3641,s2836,s3577,s1768,s4515,s153,s3129,s4508,s868,s1125,s609,s1876,s3911,s44,s382,s4514,s454,s3689,s4016,s4470,s4318,s4456,s4428,s43,s47]) ).
cnf(s4517,plain,
( spl2_116
| spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s2628,s2909,s3767,s2610,s3317,s3388,s4516,s3913,s382,s44,s4514,s3689,s2314,s454,s4195,s153,s4016,s4470,s4318,s4456,s1710,s3129,s4508,s868,s1125,s609,s43,s47]) ).
cnf(s4518,plain,
( spl2_12
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s2827,s1768,s4469,s3066,s4517,s3129,s4508,s803,s868,s1125,s609]) ).
cnf(s4519,plain,
( spl2_190
| ~ spl2_12
| spl2_96
| ~ spl2_97 ),
inference(rat,[],[s1447,s5,s2123,s3595,s1463,s4453,s3113,s301]) ).
cnf(s4520,plain,
( spl2_450
| ~ spl2_378
| ~ spl2_12 ),
inference(rat,[],[s1447,s5,s2123,s3595]) ).
cnf(s4521,plain,
( ~ spl2_399
| ~ spl2_367
| ~ spl2_450
| spl2_8 ),
inference(rat,[],[s1679,s2911,s1681]) ).
cnf(s4522,plain,
( ~ spl2_22
| ~ spl2_378
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s1447,s1354,s1438,s3868,s1617,s3862,s2902,s2856,s2992,s4521,s1314,s183,s295,s2121,s59,s85,s803,s301,s868,s1125,s4519,s454,s609,s4520,s4518]) ).
cnf(s4523,plain,
( ~ spl2_18
| spl2_142
| spl2_384
| spl2_117
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s1653,s1581,s3234,s2490,s2351,s4395,s2934,s1780,s2734,s4521,s2259,s4188,s859,s3584,s4520,s1463,s2910,s4519,s4518,s454,s609]) ).
cnf(s4524,plain,
( spl2_31
| ~ spl2_16
| ~ spl2_12 ),
inference(rat,[],[s2732,s4016]) ).
cnf(s4525,plain,
( spl2_384
| spl2_117
| spl2_116
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s2610,s2909,s2767,s2899,s2781,s4474,s1768,s4385,s3580,s3449,s4510,s3510,s170,s4467,s113,s4103,s230,s1314,s1780,s2902,s4523,s4463,s1617,s4524,s2731,s4318,s4522,s4520,s1463,s4195,s4519,s4518,s454,s609,s43]) ).
cnf(s4526,plain,
( ~ spl2_22
| ~ spl2_384
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s183,s4442,s295,s59,s85,s803,s301,s454,s868,s1125,s609]) ).
cnf(s4527,plain,
( ~ spl2_18
| ~ spl2_16
| ~ spl2_384
| spl2_117
| spl2_116
| ~ spl2_190
| ~ spl2_12
| ~ spl2_468
| ~ spl2_39 ),
inference(rat,[],[s1768,s2995,s2494,s4178,s4459,s4402,s1448,s1356,s5,s1780,s2123,s3595,s3279,s2896,s3276,s4461,s4509,s859,s1427,s137,s1710,s1617,s4524]) ).
cnf(s4528,plain,
( spl2_117
| spl2_116
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s4463,s4527,s1617,s4524,s4318,s4526,s4525,s4195,s4519,s4518,s454,s609,s43]) ).
cnf(s4529,plain,
( ~ spl2_45
| spl2_153
| ~ spl2_31
| ~ spl2_16
| ~ spl2_117
| spl2_116
| ~ spl2_97 ),
inference(rat,[],[s3641,s3664,s170,s149,s4467,s3235,s113]) ).
cnf(s4530,plain,
( spl2_35
| spl2_116
| ~ spl2_12 ),
inference(rat,[],[s1428,s2726]) ).
cnf(s4531,plain,
( ~ spl2_16
| ~ spl2_18
| ~ spl2_117
| spl2_116
| ~ spl2_12
| ~ spl2_39
| ~ spl2_97 ),
inference(rat,[],[s219,s2812,s4529,s4459,s1707,s4524,s4474,s4530,s454,s4428]) ).
cnf(s4532,plain,
( ~ spl2_22
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s1463,s4526,s4522]) ).
cnf(s4533,plain,
( spl2_117
| ~ spl2_39
| spl2_8 ),
inference(rat,[],[s4467,s113,s4263,s4304,s162,s4388,s4523,s3066,s1768,s4020,s2827,s4469,s3984,s4528,s803,s868,s1125,s4519,s4463,s1617,s4524,s4318,s4532,s4518,s454,s609,s43]) ).
cnf(s4534,plain,
( ~ spl2_39
| spl2_8 ),
inference(rat,[],[s4531,s141,s4533,s4463,s1617,s4524,s4318,s4532,s4518,s454,s609,s47,s43]) ).
cnf(s4535,plain,
( ~ spl2_123
| ~ spl2_31
| ~ spl2_327
| spl2_82
| spl2_384
| spl2_116
| ~ spl2_11 ),
inference(rat,[],[s2929,s1768,s264,s4171,s826,s1812,s885,s311,s281,s24,s1463]) ).
cnf(s4536,plain,
( spl2_96
| spl2_113
| spl2_190
| spl2_384
| spl2_116
| ~ spl2_231
| ~ spl2_11
| ~ spl2_97 ),
inference(rat,[],[s1768,s4171,s2929,s1812,s885,s4474,s820,s2140,s1622,s896,s301,s24,s1463,s1371,s1385]) ).
cnf(s4537,plain,
( ~ spl2_31
| spl2_190
| ~ spl2_22
| spl2_384
| spl2_122
| spl2_116
| ~ spl2_18
| ~ spl2_10
| ~ spl2_11
| ~ spl2_97
| spl2_79 ),
inference(rat,[],[s409,s12,s892,s226,s327,s305,s759,s413,s451,s4536,s219,s4535,s107,s120,s24,s889,s282,s1371,s1385,s47,s43,s4428]) ).
cnf(s4538,plain,
( spl2_96
| spl2_190
| ~ spl2_22
| spl2_384
| spl2_116
| ~ spl2_18
| ~ spl2_231
| ~ spl2_11
| ~ spl2_97 ),
inference(rat,[],[s222,s4020,s885,s2631,s3566,s4178,s1473,s2050,s4402,s1356,s1622,s231,s2123,s896,s4536,s4453,s301,s24,s137,s1385]) ).
cnf(s4539,plain,
( spl2_190
| ~ spl2_22
| spl2_384
| spl2_122
| spl2_116
| ~ spl2_18
| ~ spl2_10
| ~ spl2_11
| ~ spl2_97
| spl2_79 ),
inference(rat,[],[s409,s12,s892,s226,s413,s451,s4538,s2410,s4537,s889]) ).
cnf(s4540,plain,
( ~ spl2_123
| ~ spl2_31
| ~ spl2_367
| spl2_396
| spl2_82
| ~ spl2_378 ),
inference(rat,[],[s3452,s1768,s311,s3085,s281,s3296]) ).
cnf(s4541,plain,
( ~ spl2_425
| ~ spl2_137
| spl2_140
| spl2_93
| ~ spl2_31
| ~ spl2_97 ),
inference(rat,[],[s1505,s2956,s4411]) ).
cnf(s4542,plain,
( spl2_142
| spl2_326
| spl2_233
| ~ spl2_432
| spl2_35
| spl2_50
| spl2_140
| ~ spl2_331
| spl2_93
| ~ spl2_58
| ~ spl2_31
| ~ spl2_190
| spl2_384
| spl2_116
| ~ spl2_18
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s1653,s1505,s1852,s1709,s4450,s2606,s3485,s4541,s183,s113,s3172,s4250,s4402,s3514,s1356,s2935,s2123,s1854,s2697,s1681,s4521,s4190,s2910,s609,s153,s137,s2934,s2898,s26,s2899,s1768,s3452,s1463,s1674,s885,s24,s60,s4534,s4428,s47]) ).
cnf(s4543,plain,
( spl2_96
| ~ spl2_31
| ~ spl2_22
| spl2_384
| spl2_116
| ~ spl2_18
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s2193,s1867,s2805,s1709,s2290,s2606,s3485,s2305,s1693,s4541,s183,s4402,s1875,s1854,s4052,s1601,s1356,s2123,s2902,s4542,s1371,s2929,s2899,s820,s1768,s825,s3128,s3452,s885,s4474,s295,s301,s24,s1800,s153,s137,s2873,s1617,s3757,s70,s107,s120,s1398,s493,s219,s4540,s2934,s2898,s26,s1674,s4539,s609,s803,s60,s282,s1463,s2842,s4534,s4428,s47]) ).
cnf(s4544,plain,
( ~ spl2_31
| ~ spl2_22
| spl2_384
| spl2_116
| ~ spl2_18
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s409,s12,s892,s226,s327,s305,s759,s413,s451,s4543,s107,s120,s803,s24,s60,s4534,s889,s47,s43]) ).
cnf(s4545,plain,
( ~ spl2_113
| ~ spl2_370
| spl2_82
| spl2_122
| ~ spl2_18 ),
inference(rat,[],[s3085,s1768,s3296,s2348,s219,s2934,s4428]) ).
cnf(s4546,plain,
( spl2_96
| spl2_113
| ~ spl2_25
| ~ spl2_367
| spl2_396
| ~ spl2_22
| spl2_384
| spl2_116
| ~ spl2_18
| spl2_12
| spl2_8 ),
inference(rat,[],[s3863,s4521,s4168,s4190,s4389,s1371,s4507,s2929,s62,s1107,s64,s820,s183,s1768,s825,s4454,s755,s3452,s885,s4474,s295,s301,s609,s24,s60,s4534,s1298,s153,s1463,s282,s493,s4428,s47]) ).
cnf(s4547,plain,
( ~ spl2_22
| spl2_384
| spl2_116
| ~ spl2_18
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s409,s12,s892,s226,s413,s451,s4546,s4545,s2410,s752,s4544,s2934,s2898,s1674,s4539,s282,s803,s609,s60,s26,s889,s2842,s4534]) ).
cnf(s4548,plain,
( spl2_190
| ~ spl2_54
| spl2_96
| ~ spl2_316
| ~ spl2_16
| spl2_20
| spl2_117
| ~ spl2_97 ),
inference(rat,[],[s3961,s3604,s4052,s4160,s1622,s4453,s1385]) ).
cnf(s4549,plain,
( spl2_384
| spl2_116
| ~ spl2_18
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s4474,s3580,s268,s170,s4487,s3689,s4016,s1617,s2902,s3863,s1601,s4052,s3757,s4062,s2934,s2910,s2898,s4548,s896,s301,s451,s1875,s226,s494,s2917,s4318,s4547,s609,s26,s24,s889,s1298,s153,s2321,s60,s4534,s43,s47]) ).
cnf(s4550,plain,
( ~ spl2_96
| spl2_116
| ~ spl2_10
| ~ spl2_11 ),
inference(rat,[],[s281,s404,s2410,s3637,s12,s170,s409,s222,s282,s411,s3931,s494,s306,s226,s448,s450,s759,s451,s453,s24,s43]) ).
cnf(s4551,plain,
( spl2_35
| ~ spl2_25
| ~ spl2_45
| spl2_367
| spl2_82
| ~ spl2_190
| spl2_122
| spl2_116
| ~ spl2_18
| spl2_117
| ~ spl2_11 ),
inference(rat,[],[s1854,s4002,s4188,s4133,s2910,s4389,s2899,s1768,s3128,s493,s2494,s4507,s219,s162,s1107,s885,s24,s859,s1780,s4428]) ).
cnf(s4552,plain,
( ~ spl2_22
| spl2_96
| ~ spl2_384
| spl2_116
| ~ spl2_18
| spl2_117
| spl2_8 ),
inference(rat,[],[s4020,s2631,s222,s1107,s4179,s219,s4474,s4551,s752,s113,s64,s4060,s183,s1314,s3919,s295,s85,s282,s803,s60,s2842,s4534,s3113,s301,s609,s4428]) ).
cnf(s4553,plain,
( spl2_131
| ~ spl2_19
| ~ spl2_16
| spl2_96
| spl2_20
| ~ spl2_97 ),
inference(rat,[],[s4474,s3580,s268,s170]) ).
cnf(s4554,plain,
( spl2_116
| ~ spl2_18
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s4485,s3317,s3689,s484,s113,s4467,s4553,s4052,s3758,s1875,s3388,s226,s2910,s494,s2917,s4318,s4552,s3113,s301,s4550,s4549,s609,s26,s153,s2321,s60,s4534,s43,s47]) ).
cnf(s4555,plain,
( ~ spl2_45
| ~ spl2_31
| ~ spl2_22
| ~ spl2_97 ),
inference(rat,[],[s113,s64]) ).
cnf(s4556,plain,
( spl2_45
| ~ spl2_533
| spl2_147
| ~ spl2_112
| ~ spl2_116
| ~ spl2_97 ),
inference(rat,[],[s301,s292,s453,s493,s3931,s4263,s226]) ).
cnf(s4557,plain,
( ~ spl2_22
| ~ spl2_116
| ~ spl2_18
| spl2_117
| spl2_8 ),
inference(rat,[],[s265,s824,s2781,s4031,s4507,s292,s752,s301,s4555,s451,s4556,s3637,s170,s4304,s162,s4098,s3912,s273,s85,s803,s609]) ).
cnf(s4558,plain,
( ~ spl2_367
| ~ spl2_142
| ~ spl2_113
| ~ spl2_190
| ~ spl2_131
| ~ spl2_316 ),
inference(rat,[],[s4052,s2610,s3757,s4301,s4062]) ).
cnf(s4559,plain,
( ~ spl2_18
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s3066,s2898,s1768,s2934,s2836,s4558,s3313,s2910,s2536,s493,s4548,s3387,s292,s896,s4553,s301,s451,s1875,s226,s494,s2917,s4318,s4557,s4554,s2321,s803,s609,s60,s26,s4534,s889,s153,s43,s47]) ).
cnf(s4560,plain,
( ~ spl2_22
| spl2_18
| ~ spl2_10
| ~ spl2_11
| ~ spl2_97
| spl2_79 ),
inference(rat,[],[s170,s3637,s4098,s3931,s3912,s273,s226,s4550,s451,s453,s301,s2115,s85]) ).
cnf(s4561,plain,
( ~ spl2_326
| ~ spl2_377
| ~ spl2_450
| ~ spl2_35 ),
inference(rat,[],[s2307,s2311]) ).
cnf(s4562,plain,
( ~ spl2_425
| spl2_326
| spl2_399
| ~ spl2_450
| ~ spl2_350
| spl2_140
| spl2_117
| ~ spl2_97 ),
inference(rat,[],[s2805,s1668,s2962,s4411,s2019]) ).
cnf(s4563,plain,
( ~ spl2_131
| spl2_384
| spl2_116
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s1708,s4503,s3485,s2463,s4562,s4561,s2610,s33,s2911,s8,s3354,s3529,s4158,s2696,s4388,s4305,s301,s2145,s3629,s3631,s885,s24,s1463,s1768,s2836,s4483,s153,s4318,s1107,s284,s3911,s3689,s484,s277,s44,s382,s451,s226,s494,s4560,s60,s4534,s609,s803,s4559,s43,s47]) ).
cnf(s4564,plain,
( spl2_384
| spl2_116
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s1708,s4503,s3485,s2463,s4562,s4561,s3863,s2610,s1601,s4489,s33,s8,s3257,s170,s4563,s1768,s2836,s4483,s1298,s153,s4318,s301,s2145,s3629,s3631,s3911,s44,s885,s1107,s3689,s484,s277,s382,s451,s226,s494,s4560,s609,s803,s284,s4559,s24,s60,s4534,s43,s47]) ).
cnf(s4565,plain,
( spl2_116
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s1768,s2836,s2995,s3113,s4564,s885,s3911,s1107,s4179,s3689,s24,s284,s44,s4060,s301,s484,s277,s382,s451,s226,s494,s4560,s4559,s60,s4534,s609,s803]) ).
cnf(s4568,plain,
( ~ spl2_48
| ~ spl2_350
| ~ spl2_190
| spl2_384
| ~ spl2_116
| ~ spl2_210
| spl2_140
| spl2_117
| spl2_351
| ~ spl2_10
| ~ spl2_11
| ~ spl2_97 ),
inference(rat,[],[s1708,s4503,s3485,s2463,s4562,s4501,s4049,s3863,s2610,s1601,s4489,s24,s493,s292]) ).
cnf(s4569,plain,
( spl2_384
| spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s4048,s4072,s288,s4507,s4299,s3323,s4303,s3863,s3959,s2610,s1601,s4064,s4505,s3529,s8,s33,s4568,s1768,s2348,s2898,s4483,s1463,s26,s24,s1298,s153,s44,s4318,s752,s484,s277,s382,s493,s292,s4565,s301,s451,s226,s494,s4560,s4559,s60,s4534,s803,s609,s43,s47]) ).
cnf(s4570,plain,
( spl2_12
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s4507,s2894,s2781,s265,s1107,s824,s2836,s1768,s3113,s3066,s4569,s292,s4565,s752,s277,s382,s301,s451,s226,s494,s4560,s1876,s44,s284,s4559,s153,s803,s609,s60,s4534,s47]) ).
cnf(s4571,plain,
( ~ spl2_18
| ~ spl2_370
| ~ spl2_113
| spl2_122
| ~ spl2_41 ),
inference(rat,[],[s2917,s268,s282,s470,s4545]) ).
cnf(s4572,plain,
( spl2_18
| spl2_96
| ~ spl2_12
| ~ spl2_10
| ~ spl2_11
| ~ spl2_97
| spl2_79 ),
inference(rat,[],[s4524,s277,s4318,s382,s4560,s43]) ).
cnf(s4573,plain,
( spl2_116
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s264,s2781,s826,s2829,s1768,s2995,s2898,s4179,s2074,s4571,s219,s4572,s4519,s4474,s4550,s4530,s2842,s803,s609,s60,s26,s4534,s4570,s4428]) ).
cnf(s4574,plain,
( ~ spl2_18
| ~ spl2_10
| spl2_8 ),
inference(rat,[],[s4553,s4467,s451,s113,s226,s4524,s494,s2917,s4318,s4557,s2321,s609,s60,s26,s4534,s4570,s141,s4573,s43,s47]) ).
cnf(s4575,plain,
( spl2_8
| spl2_7 ),
inference(rat,[],[s225,s451,s494,s4572,s4560,s4574,s4570,s4,s60,s4534,s609,s803]) ).
cnf(s4576,plain,
( ~ spl2_113
| spl2_82
| ~ spl2_46
| spl2_147
| ~ spl2_31
| ~ spl2_9 ),
inference(rat,[],[s281,s311,s4309,s1831]) ).
cnf(s4577,plain,
( ~ spl2_123
| spl2_399
| spl2_156
| ~ spl2_350
| ~ spl2_58
| spl2_67
| spl2_93
| spl2_82
| spl2_45
| spl2_384
| spl2_116
| spl2_12
| ~ spl2_31
| ~ spl2_18
| ~ spl2_97
| ~ spl2_39 ),
inference(rat,[],[s4388,s4250,s4188,s3930,s4437,s153,s226,s230,s4103,s4428,s47]) ).
cnf(s4578,plain,
( ~ spl2_22
| spl2_45
| spl2_190
| spl2_384
| spl2_116
| spl2_12
| ~ spl2_18
| ~ spl2_97
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s4390,s4250,s4188,s3637,s4448,s4577,s3450,s1407,s3931,s1960,s2929,s1768,s4171,s1812,s820,s4474,s4576,s4438,s2873,s70,s107,s282,s1752,s1630,s1617,s3937,s3,s153,s2165,s4575,s1463,s1644,s1125,s1371,s1385,s2123,s4453,s454,s226,s31,s230,s4103,s4428,s47,s43]) ).
cnf(s4579,plain,
( spl2_45
| spl2_190
| spl2_384
| spl2_116
| spl2_12
| ~ spl2_18
| ~ spl2_97
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s1768,s4389,s4171,s493,s4250,s1812,s1831,s3529,s3257,s4460,s48,s4318,s4578,s230,s4103,s3937,s3,s4575,s153,s1463,s4428,s43,s47]) ).
cnf(s4580,plain,
( ~ spl2_45
| spl2_116
| ~ spl2_31
| ~ spl2_18
| ~ spl2_97
| ~ spl2_8 ),
inference(rat,[],[s170,s3257,s4467,s48,s113,s4555]) ).
cnf(s4581,plain,
( spl2_384
| spl2_116
| spl2_12
| ~ spl2_18
| ~ spl2_97
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s2856,s2992,s2902,s2904,s3863,s1679,s1664,s1677,s4579,s2906,s1617,s1707,s1298,s31,s4580,s3937,s3,s4575,s43,s47]) ).
cnf(s4582,plain,
( spl2_116
| spl2_12
| ~ spl2_18
| ~ spl2_97
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s4509,s4318,s4461,s107,s4436,s3113,s1710,s4581,s230,s4103,s4580,s1978,s1752,s301,s454,s1630,s1125,s3937,s3,s4575,s153,s43,s47]) ).
cnf(s4583,plain,
( ~ spl2_116
| ~ spl2_18
| ~ spl2_97
| ~ spl2_39
| ~ spl2_9 ),
inference(rat,[],[s2536,s220,s3387,s4020,s1831,s4469,s3984,s802,s1630,s1125,s3937,s43]) ).
cnf(s4584,plain,
( ~ spl2_18
| ~ spl2_97
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s4474,s3650,s4530,s1427,s4582,s4583,s1616,s3,s4575,s454]) ).
cnf(s4585,plain,
( spl2_384
| ~ spl2_292
| spl2_513
| ~ spl2_123
| spl2_117
| ~ spl2_16
| ~ spl2_50
| ~ spl2_97
| spl2_96
| ~ spl2_321 ),
inference(rat,[],[s3085,s2550,s1768,s2544,s3696,s4483,s1463]) ).
cnf(s4586,plain,
( spl2_116
| ~ spl2_97
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s1768,s2836,s2995,s3113,s4585,s4179,s4385,s2074,s3682,s1831,s3913,s3911,s3296,s3689,s1616,s3,s4575,s284,s44,s484,s153,s4524,s277,s382,s4318,s2115,s4584,s301,s454,s47,s43]) ).
cnf(s4587,plain,
( spl2_384
| ~ spl2_118
| spl2_265
| spl2_156
| ~ spl2_113
| spl2_117
| spl2_351
| ~ spl2_16
| ~ spl2_50
| ~ spl2_97
| spl2_96
| spl2_7 ),
inference(rat,[],[s2610,s2904,s4048,s2696,s4072,s3863,s1768,s1664,s2829,s4483,s2906,s1831,s3,s4575]) ).
cnf(s4588,plain,
( ~ spl2_97
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s2836,s1768,s3113,s3066,s4587,s288,s2170,s1831,s3024,s3984,s292,s3390,s4586,s153,s1298,s4524,s277,s4318,s382,s2115,s44,s4584,s1630,s301,s1125,s802,s3,s4575,s454,s47,s43]) ).
cnf(s4589,plain,
( ~ spl2_399
| spl2_151
| ~ spl2_331
| spl2_35
| spl2_190
| spl2_351
| ~ spl2_39 ),
inference(rat,[],[s2151,s2261,s3863,s1407,s1859,s1644,s2140,s1385]) ).
cnf(s4590,plain,
( spl2_142
| spl2_399
| ~ spl2_154
| ~ spl2_29
| spl2_82
| ~ spl2_350
| spl2_117 ),
inference(rat,[],[s3085,s3296,s4326,s3103,s4133,s3544,s4177,s4428]) ).
cnf(s4591,plain,
( spl2_156
| ~ spl2_29
| spl2_82
| ~ spl2_350
| ~ spl2_134
| spl2_35
| spl2_190
| spl2_12
| ~ spl2_323
| ~ spl2_39
| ~ spl2_8 ),
inference(rat,[],[s3323,s1407,s3637,s2123,s170,s3961,s4012,s4389,s3604,s3974,s4590,s4589,s3931,s1960,s262,s1298,s153,s1385,s1398,s47]) ).
cnf(s4592,plain,
( ~ spl2_156
| ~ spl2_350
| spl2_113
| ~ spl2_327 ),
inference(rat,[],[s820,s825,s2929,s493]) ).
cnf(s4593,plain,
( ~ spl2_22
| spl2_156
| ~ spl2_350
| ~ spl2_134
| spl2_35
| spl2_190
| spl2_12
| ~ spl2_31
| ~ spl2_39
| ~ spl2_8 ),
inference(rat,[],[s4591,s25,s85,s282,s1617,s87]) ).
cnf(s4594,plain,
( spl2_35
| spl2_190
| spl2_384
| spl2_12
| ~ spl2_18
| spl2_116
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s4390,s4136,s3510,s4318,s4593,s4592,s1768,s4171,s493,s1812,s1831,s111,s3110,s4588,s3937,s3,s4575,s153,s1463,s1371,s1385,s43,s47]) ).
cnf(s4595,plain,
( ~ spl2_22
| ~ spl2_35
| ~ spl2_31
| spl2_147
| ~ spl2_39
| ~ spl2_9 ),
inference(rat,[],[s4250,s222,s3637,s3931,s179,s837,s2127,s503,s371,s2263,s493,s4576,s31,s59,s25,s393,s85,s282,s87,s4428]) ).
cnf(s4596,plain,
( spl2_190
| spl2_384
| spl2_12
| ~ spl2_18
| spl2_116
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s863,s3141,s3604,s220,s4459,s4136,s3510,s3582,s4318,s4595,s4594,s1385,s111,s3110,s4588,s2165,s3937,s3,s4575,s153,s43,s47]) ).
cnf(s4597,plain,
( ~ spl2_22
| ~ spl2_450
| ~ spl2_190
| spl2_370
| ~ spl2_378
| spl2_117
| ~ spl2_31
| ~ spl2_18
| ~ spl2_99
| ~ spl2_39 ),
inference(rat,[],[s4188,s2259,s2910,s2734,s2902,s2492,s1677,s4438,s183,s31,s107,s1876,s59,s120,s4319,s85,s1617,s87,s1629,s1707]) ).
cnf(s4598,plain,
( spl2_384
| spl2_12
| ~ spl2_18
| spl2_116
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s2902,s2550,s4136,s4318,s4597,s3863,s2544,s1664,s4596,s2906,s1463,s1616,s111,s4588,s1617,s3937,s3,s4575,s1298,s153,s43,s47]) ).
cnf(s4599,plain,
( spl2_12
| ~ spl2_18
| spl2_116
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s4190,s2375,s2896,s2603,s3863,s1371,s1664,s2471,s3129,s4598,s153,s1298,s1617,s1629,s1707,s3937,s3,s4575,s47,s43]) ).
cnf(s4600,plain,
( ~ spl2_18
| spl2_116
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s2731,s48,s4595,s4530,s4599,s3937,s3,s2165,s4575,s43]) ).
cnf(s4601,plain,
( ~ spl2_31
| ~ spl2_42
| ~ spl2_39 ),
inference(rat,[],[s1629,s1707]) ).
cnf(s4602,plain,
( ~ spl2_22
| spl2_190
| spl2_117
| spl2_18
| ~ spl2_39
| ~ spl2_9 ),
inference(rat,[],[s4507,s4351,s3913,s4414,s493,s1831,s2113,s85,s25,s4177,s2151,s2261,s4176,s752,s4601,s4319,s1876,s1385,s4133,s3922,s382,s4477,s44,s454]) ).
cnf(s4603,plain,
( spl2_35
| ~ spl2_16
| spl2_117
| ~ spl2_50
| spl2_116
| spl2_96
| ~ spl2_9 ),
inference(rat,[],[s4349,s4414,s4392,s1831,s3597]) ).
cnf(s4604,plain,
( spl2_190
| spl2_117
| spl2_116
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s2734,s2984,s3032,s4140,s4238,s4094,s1768,s2606,s2760,s2478,s2246,s4472,s2839,s4153,s2631,s262,s3650,s752,s4179,s3682,s3188,s2074,s3913,s4459,s4250,s4326,s3982,s4002,s2151,s4561,s2261,s3354,s4158,s3129,s2168,s2170,s4603,s22,s4318,s4602,s4133,s1780,s3922,s4477,s1385,s1616,s3,s4575,s44,s382,s4600,s454,s4428,s43]) ).
cnf(s4605,plain,
( spl2_35
| ~ spl2_25
| spl2_117
| spl2_18
| spl2_96
| ~ spl2_9 ),
inference(rat,[],[s4507,s4351,s3913,s4414,s493,s1831,s44,s382]) ).
cnf(s4606,plain,
( ~ spl2_42
| spl2_117
| spl2_18
| ~ spl2_39
| ~ spl2_9 ),
inference(rat,[],[s2168,s2170,s4605,s752,s4601,s454]) ).
cnf(s4607,plain,
( ~ spl2_31
| ~ spl2_35
| ~ spl2_203
| ~ spl2_16
| spl2_18
| spl2_116
| ~ spl2_39 ),
inference(rat,[],[s3637,s170,s3931,s4351,s2127,s4414,s493,s226,s3141,s3997,s4459,s4006,s454,s44]) ).
cnf(s4608,plain,
( spl2_117
| spl2_116
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s2550,s2544,s3085,s2995,s1768,s2836,s4179,s3682,s2074,s3911,s3296,s3689,s484,s4607,s4603,s3582,s4318,s2121,s4606,s4604,s1616,s3,s4575,s111,s4588,s284,s44,s382,s4600,s454,s43]) ).
cnf(s4609,plain,
( spl2_116
| ~ spl2_39
| spl2_7 ),
inference(rat,[],[s170,s3436,s162,s4351,s11,s3913,s4414,s493,s1829,s3650,s487,s1427,s149,s142,s153,s4608,s3237,s3888,s382,s44,s4600,s1616,s3,s4575,s454,s47]) ).
cnf(s4610,plain,
( ~ spl2_18
| ~ spl2_116
| ~ spl2_39
| ~ spl2_9 ),
inference(rat,[],[s2536,s220,s3387,s4020,s1831,s4469,s3984,s4601,s87,s3937,s43]) ).
cnf(s4611,plain,
( ~ spl2_31
| ~ spl2_35
| spl2_18
| ~ spl2_116
| ~ spl2_39 ),
inference(rat,[],[s2536,s220,s3387,s4250,s3637,s3931,s312,s226,s3101,s3997,s443,s4006,s44,s2414,s2317,s4428]) ).
cnf(s4612,plain,
( spl2_190
| ~ spl2_154
| ~ spl2_35
| ~ spl2_16
| spl2_42
| ~ spl2_50
| spl2_117
| spl2_251
| ~ spl2_39 ),
inference(rat,[],[s2246,s1768,s2839,s3941,s2151,s4561,s3114,s2261,s3354,s4158,s3129,s4477,s1385,s454]) ).
cnf(s4613,plain,
( ~ spl2_450
| ~ spl2_346
| spl2_400
| ~ spl2_190
| ~ spl2_118
| ~ spl2_113
| ~ spl2_39 ),
inference(rat,[],[s2259,s2610,s4048]) ).
cnf(s4614,plain,
( ~ spl2_39
| spl2_7 ),
inference(rat,[],[s2123,s4613,s2734,s2492,s1463,s4072,s3066,s1768,s2827,s1664,s4612,s4472,s262,s174,s2414,s4469,s3635,s2317,s288,s2113,s1831,s4318,s3984,s2121,s4606,s44,s4610,s141,s2318,s4609,s111,s4588,s3,s4575,s43,s47]) ).
cnf(s4615,plain,
( spl2_450
| ~ spl2_354
| spl2_449
| ~ spl2_150
| ~ spl2_331
| ~ spl2_8 ),
inference(rat,[],[s1859,s2246,s2264,s2835,s4417]) ).
cnf(s4616,plain,
( ~ spl2_329
| spl2_377
| ~ spl2_354
| spl2_35 ),
inference(rat,[],[s1407,s2011]) ).
cnf(s4617,plain,
( ~ spl2_425
| ~ spl2_450
| ~ spl2_384
| spl2_93
| spl2_75
| ~ spl2_31
| spl2_117 ),
inference(rat,[],[s2976,s2978,s2805,s2296,s2963,s2956,s1780,s3279,s2896,s1617]) ).
cnf(s4618,plain,
( spl2_190
| spl2_35
| ~ spl2_18
| spl2_116
| spl2_7 ),
inference(rat,[],[s2053,s3662,s2589,s3020,s4017,s4617,s4453,s4615,s1463,s3452,s1884,s1768,s4592,s1371,s1644,s1385,s137,s4550,s4,s1398,s107,s120,s3399,s394,s3937,s3,s3597,s820,s825,s885,s24,s493,s215,s155,s3812,s60,s4614,s4575,s47,s43]) ).
cnf(s4619,plain,
( spl2_35
| ~ spl2_18
| spl2_116
| spl2_7 ),
inference(rat,[],[s2053,s3662,s2589,s3020,s3551,s4617,s2544,s2123,s1674,s1664,s4618,s820,s1800,s825,s1437,s885,s3597,s1616,s24,s493,s215,s155,s3812,s60,s107,s120,s3399,s394,s4614,s3937,s3,s4575,s47,s43]) ).
cnf(s4620,plain,
( ~ spl2_329
| spl2_367
| ~ spl2_112
| spl2_384
| spl2_190
| spl2_113
| ~ spl2_34
| ~ spl2_11 ),
inference(rat,[],[s3450,s1644,s4314,s2140,s3923,s1601,s24,s1385]) ).
cnf(s4621,plain,
( spl2_384
| spl2_156
| spl2_190
| ~ spl2_18
| spl2_116
| spl2_7 ),
inference(rat,[],[s4133,s4002,s3862,s4561,s2123,s4620,s3686,s64,s226,s3931,s3637,s162,s4535,s137,s3937,s3,s282,s170,s222,s179,s3399,s394,s3870,s503,s4619,s493,s215,s155,s3812,s60,s4614,s4575,s1371,s1385,s47,s43]) ).
cnf(s4622,plain,
( ~ spl2_123
| ~ spl2_35
| spl2_82
| ~ spl2_31 ),
inference(rat,[],[s311,s281]) ).
cnf(s4623,plain,
( ~ spl2_384
| spl2_123
| ~ spl2_127
| spl2_132
| ~ spl2_35
| spl2_93
| ~ spl2_31 ),
inference(rat,[],[s3449,s1780,s1768,s3279,s2995]) ).
cnf(s4624,plain,
( ~ spl2_425
| ~ spl2_533
| spl2_132
| ~ spl2_35
| spl2_93
| ~ spl2_31 ),
inference(rat,[],[s3832,s2053,s2296,s3947,s2956]) ).
cnf(s4625,plain,
( spl2_190
| ~ spl2_18
| spl2_116
| spl2_7 ),
inference(rat,[],[s2734,s2200,s4022,s2053,s1654,s2589,s4171,s1768,s820,s4592,s825,s4621,s1371,s1385,s1463,s4623,s1709,s3485,s1626,s3549,s4624,s3637,s4622,s282,s170,s222,s179,s503,s493,s107,s120,s3399,s394,s3937,s3,s1592,s4474,s4619,s4550,s4,s215,s155,s3812,s60,s4575,s4614,s47,s43]) ).
cnf(s4626,plain,
( ~ spl2_18
| spl2_116
| spl2_7 ),
inference(rat,[],[s2898,s4625,s2906,s4623,s4622,s170,s222,s179,s503,s4619,s107,s120,s282,s3399,s3937,s3,s394,s26,s493,s215,s155,s3812,s60,s4614,s4575,s43,s47]) ).
cnf(s4627,plain,
( spl2_190
| ~ spl2_156
| ~ spl2_127
| spl2_70
| ~ spl2_50
| spl2_113 ),
inference(rat,[],[s1768,s3449,s4592,s1780,s1371,s3922,s1385,s3913]) ).
cnf(s4628,plain,
( spl2_35
| spl2_116
| spl2_7 ),
inference(rat,[],[s2053,s2589,s3662,s3549,s3020,s4617,s2544,s2123,s1674,s1664,s4627,s1592,s277,s107,s120,s820,s4320,s4318,s825,s4605,s4603,s885,s3597,s1616,s3,s24,s382,s170,s4351,s4414,s44,s4626,s4550,s4,s493,s215,s155,s3812,s60,s4614,s4575,s43,s47]) ).
cnf(s4629,plain,
( spl2_190
| spl2_116
| spl2_7 ),
inference(rat,[],[s4620,s2995,s2123,s1768,s4561,s3449,s4002,s1780,s4133,s3922,s4477,s1385,s137,s162,s3913,s382,s170,s4351,s4414,s44,s4626,s4550,s4,s179,s503,s4628,s493,s215,s155,s3812,s60,s4614,s4575,s47]) ).
cnf(s4630,plain,
( spl2_116
| spl2_7 ),
inference(rat,[],[s3919,s3476,s85,s3449,s484,s1768,s4623,s2995,s2544,s1674,s4629,s179,s3101,s503,s2113,s4628,s2667,s11,s3436,s170,s3689,s162,s3237,s4351,s3913,s3888,s850,s4414,s382,s44,s4626,s493,s4550,s215,s1616,s4,s155,s3812,s60,s4614,s4575,s47]) ).
cnf(s4631,plain,
( ~ spl2_329
| spl2_151
| spl2_384
| spl2_190
| ~ spl2_331
| spl2_35
| ~ spl2_11 ),
inference(rat,[],[s1644,s1859,s2140,s1407,s1601,s24,s1385]) ).
cnf(s4632,plain,
( spl2_156
| spl2_384
| spl2_190
| ~ spl2_18
| spl2_35
| spl2_7 ),
inference(rat,[],[s4133,s4002,s3862,s4049,s4501,s2123,s4631,s3579,s64,s226,s3931,s1960,s155,s3812,s60,s1398,s493,s1831,s162,s3637,s170,s4098,s273,s87,s312,s107,s120,s3399,s394,s4614,s3937,s3,s4575,s4630,s1371,s1385,s43,s47]) ).
cnf(s4633,plain,
( ~ spl2_156
| spl2_190
| spl2_366
| ~ spl2_127
| spl2_123
| ~ spl2_323
| ~ spl2_18
| spl2_113
| ~ spl2_150
| ~ spl2_8 ),
inference(rat,[],[s1859,s2246,s2264,s2914,s3790,s2902,s3476,s4615,s3449,s1768,s1644,s4592,s825,s1398,s493,s1371,s1385]) ).
cnf(s4634,plain,
( ~ spl2_384
| ~ spl2_127
| spl2_93
| ~ spl2_31
| ~ spl2_116 ),
inference(rat,[],[s3449,s1780,s1768,s3279,s3066,s87,s312]) ).
cnf(s4635,plain,
( ~ spl2_18
| spl2_35
| spl2_7 ),
inference(rat,[],[s4632,s4633,s1725,s2906,s4634,s2667,s11,s3436,s162,s170,s376,s312,s4098,s838,s107,s120,s273,s87,s1617,s3399,s3937,s394,s26,s4630,s3597,s155,s3812,s60,s4614,s1831,s3,s4575,s43,s47]) ).
cnf(s4636,plain,
( spl2_156
| ~ spl2_31
| ~ spl2_22
| spl2_384
| spl2_190
| spl2_35
| spl2_7 ),
inference(rat,[],[s4133,s4002,s3579,s3862,s4049,s64,s2123,s226,s4631,s3931,s1960,s155,s3812,s60,s4614,s1398,s493,s1831,s3,s4575,s1371,s1385,s3870,s443,s44,s4635,s162,s3637,s170,s4098,s273,s3912,s85,s87,s4630,s47]) ).
cnf(s4637,plain,
( ~ spl2_31
| ~ spl2_22
| spl2_384
| spl2_190
| spl2_35
| spl2_7 ),
inference(rat,[],[s382,s4627,s453,s4636,s170,s4098,s273,s87,s4630,s1831,s3,s4575,s44,s4635]) ).
cnf(s4638,plain,
( ~ spl2_22
| spl2_384
| spl2_190
| spl2_35
| spl2_7 ),
inference(rat,[],[s409,s1994,s1372,s12,s4631,s226,s1960,s451,s453,s4605,s2410,s752,s4637,s155,s3812,s60,s4614,s1398,s493,s1831,s3,s4575,s4635,s1385,s47]) ).
cnf(s4639,plain,
( spl2_384
| spl2_190
| spl2_35
| spl2_7 ),
inference(rat,[],[s4393,s3529,s4351,s4477,s4414,s451,s226,s494,s4318,s4638,s1463,s4,s3597,s155,s3812,s60,s4614,s493,s1831,s3,s4575,s44,s4635,s43,s47]) ).
cnf(s4640,plain,
( ~ spl2_31
| ~ spl2_22
| ~ spl2_384
| spl2_18
| ~ spl2_116 ),
inference(rat,[],[s170,s4634,s4098,s3101,s273,s443,s87,s44]) ).
cnf(s4641,plain,
( ~ spl2_22
| ~ spl2_384
| spl2_35
| spl2_7 ),
inference(rat,[],[s789,s798,s4111,s273,s409,s795,s4098,s12,s796,s761,s226,s1960,s786,s451,s453,s4605,s2410,s752,s4640,s3,s4,s155,s3812,s60,s4614,s4575,s4630,s4635,s47]) ).
cnf(s4642,plain,
( ~ spl2_384
| spl2_35
| spl2_7 ),
inference(rat,[],[s4634,s3101,s170,s443,s4351,s4320,s4414,s4605,s451,s226,s494,s4641,s4,s155,s3812,s60,s4614,s4630,s493,s1831,s3,s4575,s44,s4635,s43,s47]) ).
cnf(s4643,plain,
( spl2_35
| spl2_7 ),
inference(rat,[],[s1725,s4639,s2906,s4642,s4575,s26,s4614]) ).
cnf(s4644,plain,
( ~ spl2_45
| ~ spl2_411
| spl2_409
| ~ spl2_22 ),
inference(rat,[],[s4185,s64]) ).
cnf(s4645,plain,
( ~ spl2_18
| ~ spl2_378
| spl2_190
| spl2_7 ),
inference(rat,[],[s4592,s3931,s4263,s226,s4644,s3822,s1768,s4340,s2209,s3018,s3000,s3545,s3023,s1640,s4345,s1678,s1735,s2734,s4022,s1654,s3552,s1626,s1709,s4011,s1342,s3485,s2907,s1689,s11,s4624,s3436,s3637,s4304,s162,s170,s376,s4622,s2073,s222,s107,s282,s3399,s3937,s3,s394,s4,s155,s3812,s60,s4614,s4575,s174,s3635,s4643,s4630,s1371,s1385,s43,s47]) ).
cnf(s4646,plain,
( spl2_425
| ~ spl2_22
| ~ spl2_378
| spl2_190
| spl2_7 ),
inference(rat,[],[s3922,s389,s3476,s1641,s4347,s4345,s1678,s1735,s4340,s2734,s4021,s4022,s1654,s3552,s1626,s1709,s4017,s3485,s1689,s155,s3812,s4575,s44,s4560,s4,s60,s4614,s4645,s1342,s2667,s11,s3436,s162,s3912,s170,s222,s2073,s174,s3635,s4630,s3237,s3886,s85,s2113,s4643,s47]) ).
cnf(s4647,plain,
( spl2_156
| ~ spl2_113
| ~ spl2_411
| spl2_30
| ~ spl2_472
| ~ spl2_127
| ~ spl2_22 ),
inference(rat,[],[s4644,s226,s4085,s3929,s2631]) ).
cnf(s4648,plain,
( ~ spl2_156
| ~ spl2_127
| spl2_123
| spl2_18
| spl2_190
| ~ spl2_116 ),
inference(rat,[],[s3449,s1768,s1780,s2929,s3922,s265,s382,s824,s453,s1371,s1385,s44]) ).
cnf(s4649,plain,
( ~ spl2_22
| ~ spl2_378
| spl2_190
| spl2_7 ),
inference(rat,[],[s4049,s4176,s4002,s4133,s3870,s4477,s503,s3686,s64,s451,s493,s226,s4647,s3929,s4648,s2296,s3832,s2410,s752,s2053,s4624,s3947,s4646,s3637,s162,s170,s3912,s222,s107,s85,s155,s3812,s60,s4614,s4575,s2113,s174,s3635,s4643,s4630,s44,s4645,s47]) ).
cnf(s4650,plain,
( ~ spl2_425
| ~ spl2_350
| spl2_134
| spl2_156
| ~ spl2_450
| ~ spl2_143
| spl2_47
| spl2_142
| ~ spl2_45
| spl2_7 ),
inference(rat,[],[s2296,s3561,s4185,s2978,s4087,s2805,s2053,s2962,s3947,s155,s3812,s60,s4614,s4575,s174,s3635,s4643,s4630,s2019,s47]) ).
cnf(s4651,plain,
( spl2_425
| ~ spl2_210
| spl2_47
| spl2_97
| ~ spl2_45
| spl2_39 ),
inference(rat,[],[s4185,s2463,s4017]) ).
cnf(s4652,plain,
( spl2_384
| spl2_190
| spl2_7 ),
inference(rat,[],[s2805,s3454,s2620,s2839,s2246,s4087,s1768,s2053,s4650,s3947,s4651,s262,s484,s3911,s1107,s312,s4326,s3101,s4002,s1372,s4561,s3352,s4160,s1780,s4158,s3529,s4133,s3922,s1644,s3630,s4483,s4477,s382,s3631,s451,s226,s494,s4318,s4649,s44,s284,s4645,s1463,s4,s155,s3812,s60,s4614,s4575,s174,s3635,s4643,s4630,s1385,s4428,s43,s47]) ).
cnf(s4653,plain,
( ~ spl2_22
| ~ spl2_384
| spl2_7 ),
inference(rat,[],[s1780,s3449,s170,s3919,s3912,s222,s85,s2113,s1768,s2995,s174,s3635,s4643,s4630]) ).
cnf(s4654,plain,
( ~ spl2_31
| spl2_190
| spl2_7 ),
inference(rat,[],[s2536,s220,s3387,s4250,s3449,s4622,s1768,s2995,s174,s3635,s4643,s4630,s284,s1780,s3922,s382,s451,s226,s494,s4,s60,s3399,s2426,s4653,s4652,s875,s394,s4614,s4575,s4428,s43]) ).
cnf(s4655,plain,
( spl2_190
| spl2_7 ),
inference(rat,[],[s2620,s2805,s2053,s2963,s3947,s2246,s4651,s4561,s4453,s4176,s484,s752,s4654,s4133,s3922,s3630,s4477,s382,s3631,s451,s226,s494,s2426,s3399,s4653,s1768,s2995,s4652,s1385,s875,s394,s4,s155,s3812,s60,s4614,s4575,s174,s3635,s4643,s4630,s43,s47]) ).
cnf(s4656,plain,
( ~ spl2_31
| spl2_7 ),
inference(rat,[],[s2536,s220,s3387,s4250,s4623,s3101,s443,s4622,s174,s3635,s4643,s4630,s2426,s875,s284,s3399,s4653,s2544,s1674,s60,s4655,s1616,s394,s4614,s4575,s4428,s43]) ).
cnf(s4657,plain,
( ~ spl2_123
| spl2_7 ),
inference(rat,[],[s2836,s3911,s1107,s1768,s2995,s174,s3635,s4643,s4630,s2426,s875,s284,s382,s451,s226,s494,s4,s3399,s4653,s2544,s1674,s60,s4655,s1616,s394,s4614,s4575,s43]) ).
cnf(s4658,plain,
( spl2_156
| spl2_7 ),
inference(rat,[],[s2246,s3094,s2620,s2184,s2805,s2053,s3476,s2963,s3947,s3431,s4651,s4351,s4474,s4408,s370,s2631,s2836,s155,s3812,s2123,s1664,s3,s2638,s2827,s451,s3630,s3631,s226,s494,s4,s2426,s875,s3399,s394,s484,s4656,s4653,s3496,s162,s4657,s1768,s2995,s2544,s1674,s60,s4614,s4655,s1616,s4575,s174,s3635,s4643,s4630,s43,s47]) ).
cnf(s4659,plain,
spl2_7,
inference(rat,[],[s2246,s4049,s2620,s3868,s1354,s2805,s2053,s3476,s2963,s3947,s3431,s4651,s2894,s2780,s265,s824,s4658,s3496,s162,s4657,s484,s4656,s3630,s3631,s226,s1876,s2638,s494,s2426,s3399,s1768,s4653,s2995,s2544,s2123,s1674,s1664,s4655,s174,s3635,s4643,s4630,s155,s4,s3812,s875,s60,s394,s4614,s3,s1616,s4575,s43,s47]) ).
cnf(s4660,plain,
( ~ spl2_123
| ~ spl2_31
| ~ spl2_350
| spl2_116
| spl2_82
| spl2_384
| ~ spl2_327 ),
inference(rat,[],[s264,s2929,s1707,s245,s60,s281,s4535,s4659]) ).
cnf(s4662,plain,
( ~ spl2_39
| ~ spl2_134
| spl2_156
| ~ spl2_31
| ~ spl2_350
| spl2_12
| ~ spl2_22
| spl2_35
| spl2_190 ),
inference(rat,[],[s4593,s4534]) ).
cnf(s4663,plain,
( ~ spl2_11
| spl2_156
| spl2_116
| spl2_35 ),
inference(rat,[],[s885,s24]) ).
cnf(s4664,plain,
( spl2_156
| ~ spl2_31
| ~ spl2_350
| spl2_116
| ~ spl2_22
| spl2_35
| spl2_190 ),
inference(rat,[],[s1965,s4662,s4534,s60,s4663,s4530]) ).
cnf(s4665,plain,
( ~ spl2_31
| spl2_116
| ~ spl2_18
| ~ spl2_22
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s59,s4263,s3697,s4592,s4664,s4304,s162,s4660,s85,s87,s1371,s1385,s282,s1768,s4171,s1812,s1463]) ).
cnf(s4666,plain,
( spl2_156
| spl2_9
| spl2_116
| spl2_35 ),
inference(rat,[],[s4534,s60,s4421,s4663,s227]) ).
cnf(s4667,plain,
( spl2_116
| ~ spl2_18
| ~ spl2_22
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s3141,s1107,s4592,s4666,s496,s884,s38,s3937,s4665,s1768,s4171,s1371,s1385,s1463,s1812,s282,s4659,s43]) ).
cnf(s4668,plain,
( spl2_156
| spl2_79
| ~ spl2_18
| ~ spl2_22
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s4133,s4002,s3862,s4049,s4501,s2123,s3686,s4631,s64,s60,s226,s1398,s4610,s3931,s1965,s1960,s4421,s1385,s227,s4557,s141,s162,s3637,s170,s4098,s273,s3912,s85,s4667,s47]) ).
cnf(s4669,plain,
( ~ spl2_31
| ~ spl2_18
| ~ spl2_22
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s1780,s3449,s3686,s1768,s64,s2929,s4263,s265,s4633,s824,s4668,s2667,s3665,s3436,s4304,s162,s170,s376,s3912,s4098,s107,s85,s273,s120,s87,s1617,s1371,s1385,s227,s4557,s141,s4667,s47]) ).
cnf(s4670,plain,
( ~ spl2_18
| ~ spl2_22
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s1107,s811,s2486,s884,s3937,s752,s4669,s4557,s141,s4667,s859,s227,s282,s4659,s43,s47]) ).
cnf(s4671,plain,
( ~ spl2_31
| spl2_116
| ~ spl2_22
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s2767,s4002,s2929,s162,s4664,s4660,s1371,s1385,s282,s1768,s4171,s1812,s1463,s4133,s153,s4530,s4477,s3922,s382,s345,s606,s44,s4670,s4659,s47]) ).
cnf(s4672,plain,
( spl2_116
| ~ spl2_22
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s4002,s2767,s162,s2929,s1107,s4666,s4605,s884,s752,s4671,s4133,s1768,s153,s4171,s4530,s1371,s1385,s1463,s1812,s282,s4477,s3922,s382,s345,s606,s44,s4670,s4659,s47]) ).
cnf(s4673,plain,
( ~ spl2_31
| ~ spl2_22
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s4631,s60,s2123,s1398,s4602,s4049,s1965,s1960,s4421,s4002,s4648,s162,s170,s3912,s4098,s609,s3870,s85,s273,s277,s443,s87,s227,s4133,s141,s4672,s4477,s3922,s382,s345,s606,s44,s4670,s4659,s47]) ).
cnf(s4674,plain,
( ~ spl2_22
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s4326,s1107,s4002,s811,s4049,s609,s4501,s4453,s4175,s4176,s4605,s884,s752,s4673,s4133,s141,s4672,s3922,s4477,s382,s44,s4670,s282,s1385,s345,s606,s4428,s4659,s47]) ).
cnf(s4675,plain,
( spl2_156
| ~ spl2_350
| spl2_116
| spl2_22
| ~ spl2_378
| spl2_35 ),
inference(rat,[],[s48,s3529,s44,s4390,s4534,s4603,s1831,s60,s4666,s4663,s345,s606,s4392,s227,s4318,s153,s4530,s47,s43,s4659]) ).
cnf(s4676,plain,
( ~ spl2_31
| ~ spl2_113
| ~ spl2_350
| ~ spl2_131
| spl2_116
| spl2_22
| spl2_384
| ~ spl2_327 ),
inference(rat,[],[s4467,s113,s226,s3524,s214,s3139,s3215,s162,s4660,s4318,s470,s43]) ).
cnf(s4677,plain,
( spl2_116
| spl2_22
| spl2_384
| spl2_35
| ~ spl2_327 ),
inference(rat,[],[s1107,s3689,s884,s484,s4676,s4592,s4675,s470,s1768,s4392,s4171,s227,s1463,s1812,s4318,s4659,s43]) ).
cnf(s4678,plain,
( ~ spl2_123
| spl2_156
| ~ spl2_31
| ~ spl2_116
| ~ spl2_16
| ~ spl2_378
| ~ spl2_150 ),
inference(rat,[],[s4393,s470,s3529,s281,s4461,s245,s312,s141,s4659,s47]) ).
cnf(s4679,plain,
( ~ spl2_29
| spl2_30
| spl2_156
| ~ spl2_31
| ~ spl2_116 ),
inference(rat,[],[s3387,s242,s4250,s12,s3929,s4659,s4428]) ).
cnf(s4680,plain,
( ~ spl2_131
| ~ spl2_18
| ~ spl2_45
| spl2_156
| ~ spl2_31
| ~ spl2_116
| spl2_22 ),
inference(rat,[],[s2912,s7,s3209,s242,s4467,s3387,s4659]) ).
cnf(s4681,plain,
( ~ spl2_18
| ~ spl2_45
| spl2_156
| ~ spl2_31
| ~ spl2_116
| spl2_22
| ~ spl2_150 ),
inference(rat,[],[s4534,s60,s2912,s2321,s3930,s4393,s170,s4680,s4318,s43]) ).
cnf(s4682,plain,
( spl2_156
| ~ spl2_31
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s4002,s4049,s3354,s4133,s3870,s4158,s3922,s443,s4477,s382,s44,s4681,s226,s4679,s3103,s162,s4678,s262,s227,s345,s606,s1463,s4318,s141,s4677,s4674,s1371,s1385,s47,s43,s4659]) ).
cnf(s4683,plain,
( spl2_142
| ~ spl2_367
| ~ spl2_156
| ~ spl2_31
| spl2_117
| ~ spl2_16
| spl2_384
| ~ spl2_150
| spl2_190 ),
inference(rat,[],[s3501,s3152,s3114,s4393,s3354,s3529,s4158,s1463]) ).
cnf(s4684,plain,
( ~ spl2_31
| spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s4301,s4616,s4393,s2123,s37,s2902,s4477,s4683,s2550,s3452,s1768,s2929,s265,s3390,s824,s3024,s4682,s87,s1617,s227,s345,s606,s1463,s4318,s141,s4677,s4674,s1371,s1385,s47,s43,s4659]) ).
cnf(s4685,plain,
( spl2_8
| spl2_156
| spl2_12
| ~ spl2_150 ),
inference(rat,[],[s4415,s60,s4570,s4534]) ).
cnf(s4686,plain,
( ~ spl2_9
| spl2_31
| spl2_117
| spl2_35 ),
inference(rat,[],[s4605,s3937,s345,s606,s752,s43,s4659]) ).
cnf(s4687,plain,
( spl2_156
| spl2_9
| spl2_12
| ~ spl2_150 ),
inference(rat,[],[s4421,s4685]) ).
cnf(s4688,plain,
( spl2_384
| spl2_35
| spl2_190 ),
inference(rat,[],[s1947,s810,s3924,s3390,s4534,s3961,s37,s3604,s4477,s3529,s4393,s4467,s3579,s2550,s3452,s1768,s2929,s265,s824,s3024,s4687,s4686,s1875,s4524,s884,s4684,s141,s4677,s4318,s4674,s1463,s1371,s1385,s227,s345,s606,s4659,s47,s43]) ).
cnf(s4689,plain,
( ~ spl2_39
| ~ spl2_31
| ~ spl2_384
| spl2_190 ),
inference(rat,[],[s3129,s4601]) ).
cnf(s4690,plain,
( ~ spl2_22
| ~ spl2_116
| ~ spl2_31
| ~ spl2_384 ),
inference(rat,[],[s170,s4634,s4098,s107,s273,s120,s87]) ).
cnf(s4691,plain,
( spl2_156
| ~ spl2_11
| ~ spl2_31
| ~ spl2_384
| spl2_35 ),
inference(rat,[],[s4349,s4250,s4408,s2631,s4634,s1965,s2418,s3101,s609,s443,s4463,s44,s4681,s226,s494,s4690,s4663,s4415,s227,s345,s606,s1617,s4428,s4659]) ).
cnf(s4692,plain,
( ~ spl2_8
| ~ spl2_22
| spl2_116
| ~ spl2_31
| spl2_35
| spl2_190 ),
inference(rat,[],[s2053,s3662,s2589,s3020,s4017,s4617,s4453,s4615,s820,s1644,s1768,s825,s1398,s4592,s493,s215,s1371,s1385,s227,s345,s606,s146,s4691,s60,s4689,s4688,s107,s120,s4659,s47]) ).
cnf(s4693,plain,
( ~ spl2_22
| spl2_116
| ~ spl2_31
| spl2_35
| spl2_190 ),
inference(rat,[],[s2115,s301,s4552,s609,s4692,s345,s606,s146,s4689,s4688,s4659,s47]) ).
cnf(s4694,plain,
( spl2_116
| ~ spl2_31
| spl2_35
| spl2_190 ),
inference(rat,[],[s4414,s4349,s44,s3711,s4010,s3113,s300,s3152,s4392,s4318,s4693,s227,s345,s606,s4691,s60,s4689,s4688,s43,s4659]) ).
cnf(s4695,plain,
( ~ spl2_97
| spl2_35
| spl2_190 ),
inference(rat,[],[s3113,s301,s345,s606,s4688,s4659]) ).
cnf(s4696,plain,
( ~ spl2_31
| spl2_35
| spl2_190 ),
inference(rat,[],[s4634,s170,s3101,s2894,s443,s1876,s44,s4010,s265,s4318,s824,s4690,s4694,s4691,s60,s4689,s4688,s4695,s43]) ).
cnf(s4697,plain,
( spl2_116
| ~ spl2_22
| spl2_35
| spl2_190 ),
inference(rat,[],[s4002,s2767,s4133,s2894,s4477,s1876,s3508,s4507,s162,s1107,s4666,s4686,s153,s4530,s345,s606,s787,s752,s609,s4695,s282,s3686,s64,s884,s4696,s47,s4659]) ).
cnf(s4698,plain,
( ~ spl2_22
| spl2_35
| spl2_190 ),
inference(rat,[],[s1876,s2894,s3508,s265,s4507,s162,s824,s1107,s4421,s4686,s141,s4697,s282,s227,s884,s787,s752,s4696,s609,s4695,s47,s4659]) ).
cnf(s4699,plain,
( spl2_116
| ~ spl2_156
| ~ spl2_210
| ~ spl2_16
| ~ spl2_45
| ~ spl2_150 ),
inference(rat,[],[s1107,s470,s3689,s4392]) ).
cnf(s4700,plain,
( ~ spl2_131
| ~ spl2_116
| ~ spl2_156
| ~ spl2_316 ),
inference(rat,[],[s2536,s3313,s3387]) ).
cnf(s4701,plain,
( spl2_35
| spl2_190 ),
inference(rat,[],[s1852,s1655,s4191,s3825,s2461,s4340,s3503,s284,s3232,s1398,s1107,s3423,s4507,s170,s4700,s824,s4699,s4421,s4686,s153,s1326,s4524,s3076,s484,s2912,s4318,s4698,s1875,s787,s884,s752,s4696,s609,s4695,s227,s47,s43,s4659]) ).
cnf(s4702,plain,
( spl2_8
| ~ spl2_150
| spl2_156
| spl2_116 ),
inference(rat,[],[s4415,s60,s4573,s4534]) ).
cnf(s4703,plain,
( spl2_39
| ~ spl2_8
| spl2_117
| ~ spl2_132
| spl2_116
| spl2_75
| ~ spl2_35 ),
inference(rat,[],[s503,s179,s192,s215]) ).
cnf(s4705,plain,
( spl2_8
| ~ spl2_148
| spl2_156
| spl2_116
| spl2_123
| ~ spl2_22
| ~ spl2_31
| spl2_95 ),
inference(rat,[],[s4463,s408,s219,s66,s863,s82,s12,s226,s2842,s4555,s4534,s609,s1617,s120,s2093,s3103,s262,s162,s4428,s4659]) ).
cnf(s4706,plain,
( spl2_113
| ~ spl2_132
| ~ spl2_35 ),
inference(rat,[],[s503,s179,s493]) ).
cnf(s4707,plain,
( ~ spl2_131
| spl2_156
| spl2_116
| ~ spl2_22
| ~ spl2_31
| spl2_190 ),
inference(rat,[],[s59,s3697,s4263,s4706,s2165,s4705,s222,s220,s2770,s85,s2113,s162,s4622,s282,s4701]) ).
cnf(s4708,plain,
( spl2_329
| spl2_367
| spl2_117
| ~ spl2_112
| ~ spl2_22
| spl2_190 ),
inference(rat,[],[s4133,s4002,s3862,s4561,s4501,s2123,s1385,s4701]) ).
cnf(s4709,plain,
( spl2_156
| spl2_116
| ~ spl2_22
| ~ spl2_31
| spl2_190 ),
inference(rat,[],[s4620,s4623,s4708,s4703,s3686,s3711,s609,s60,s64,s4555,s25,s226,s149,s3929,s3665,s3436,s170,s4707,s3103,s262,s85,s2113,s162,s4622,s282,s4701,s376,s107,s120,s137]) ).
cnf(s4710,plain,
( ~ spl2_97
| spl2_140
| ~ spl2_113
| ~ spl2_112
| ~ spl2_22
| ~ spl2_31 ),
inference(rat,[],[s3512,s295,s4555]) ).
cnf(s4711,plain,
( ~ spl2_131
| ~ spl2_156
| spl2_116
| ~ spl2_22
| ~ spl2_31
| ~ spl2_35 ),
inference(rat,[],[s4263,s59,s2165,s1592,s609,s4710,s216,s300,s4706,s3152,s222,s85,s2113,s162,s4622,s282]) ).
cnf(s4712,plain,
( ~ spl2_97
| spl2_96
| ~ spl2_22
| ~ spl2_31
| ~ spl2_35 ),
inference(rat,[],[s4710,s4474,s301,s162,s4622,s282]) ).
cnf(s4713,plain,
( ~ spl2_39
| spl2_147
| ~ spl2_156
| ~ spl2_112
| ~ spl2_22
| ~ spl2_35 ),
inference(rat,[],[s2127,s2263,s493,s4263,s59,s85,s2113]) ).
cnf(s4714,plain,
( spl2_116
| ~ spl2_22
| ~ spl2_31
| spl2_190 ),
inference(rat,[],[s2902,s3514,s2123,s2264,s1601,s3454,s2805,s2303,s3662,s2053,s3476,s2589,s3449,s820,s1644,s44,s1768,s825,s4017,s4627,s4592,s493,s4624,s4623,s24,s3697,s4703,s60,s4713,s2165,s609,s4712,s2667,s149,s3665,s3436,s3637,s170,s4711,s389,s386,s453,s4709,s1371,s1385,s1617,s162,s4622,s282,s4701,s376,s107,s120]) ).
cnf(s4715,plain,
( spl2_29
| ~ spl2_22
| ~ spl2_31
| spl2_190 ),
inference(rat,[],[s3454,s2696,s2805,s2697,s1768,s2465,s3923,s1601,s3449,s2296,s4708,s1780,s24,s4185,s3686,s4017,s60,s64,s4555,s25,s226,s85,s162,s141,s4690,s4624,s3637,s170,s4098,s273,s2113,s4622,s282,s174,s4714,s4701,s107,s120,s47]) ).
cnf(s4716,plain,
( ~ spl2_329
| spl2_449
| ~ spl2_11
| spl2_409
| spl2_425
| spl2_384
| spl2_117 ),
inference(rat,[],[s2805,s2290,s3454,s2305,s1601,s1689,s24]) ).
cnf(s4717,plain,
( ~ spl2_22
| ~ spl2_31
| spl2_190 ),
inference(rat,[],[s2914,s2246,s2902,s4561,s2123,s4716,s1644,s825,s493,s4263,s4644,s2296,s3476,s3832,s3449,s2053,s1768,s2589,s2929,s60,s4017,s4304,s265,s2317,s4712,s4648,s824,s2414,s453,s3931,s4715,s2667,s4624,s3665,s3436,s3637,s170,s4098,s174,s273,s4690,s141,s4714,s376,s162,s107,s4622,s120,s282,s1371,s1385,s2113,s4701,s1617,s47]) ).
cnf(s4718,plain,
( ~ spl2_39
| ~ spl2_292
| spl2_116
| ~ spl2_31
| spl2_190 ),
inference(rat,[],[s3604,s4136,s863,s153,s220,s2731,s3510,s3111,s4607,s3582,s111,s4474,s3650,s3694,s1616,s4459,s4689,s4534,s454,s1385,s4701,s4318,s4717,s47,s43]) ).
cnf(s4719,plain,
( spl2_45
| ~ spl2_97
| spl2_30
| ~ spl2_110
| ~ spl2_131
| ~ spl2_323
| ~ spl2_35 ),
inference(rat,[],[s409,s2205,s4474,s2861,s214,s12,s188,s226]) ).
cnf(s4720,plain,
( spl2_8
| spl2_30
| ~ spl2_110
| ~ spl2_131
| ~ spl2_31
| ~ spl2_35 ),
inference(rat,[],[s3209,s4467,s4719,s609,s1617]) ).
cnf(s4721,plain,
( ~ spl2_131
| spl2_39
| spl2_116
| ~ spl2_154
| spl2_22
| ~ spl2_31
| ~ spl2_35 ),
inference(rat,[],[s476,s485,s462,s4414,s2426,s4349,s875,s215,s394,s4720,s3103,s3215,s162,s4622,s470,s146,s24,s60,s43,s4659,s47]) ).
cnf(s4722,plain,
( spl2_116
| spl2_156
| ~ spl2_31
| spl2_190 ),
inference(rat,[],[s4002,s4561,s4133,s4160,s3922,s4477,s382,s451,s226,s3931,s3637,s162,s4622,s44,s284,s3257,s3510,s170,s4721,s146,s4718,s4385,s1385,s4701,s4318,s4717,s262,s47,s4659,s43]) ).
cnf(s4723,plain,
( ~ spl2_131
| ~ spl2_116
| ~ spl2_31
| ~ spl2_35 ),
inference(rat,[],[s2536,s220,s3387]) ).
cnf(s4724,plain,
( ~ spl2_123
| spl2_156
| ~ spl2_31
| spl2_190 ),
inference(rat,[],[s4561,s3978,s4160,s511,s37,s4474,s4534,s609,s268,s2912,s3930,s283,s284,s4461,s4622,s312,s1385,s4318,s4717,s141,s170,s4723,s4722,s4701,s47,s43]) ).
cnf(s4725,plain,
( ~ spl2_39
| ~ spl2_116
| spl2_156
| spl2_22
| ~ spl2_31
| ~ spl2_35 ),
inference(rat,[],[s3930,s2912,s4611,s4534,s170,s4723]) ).
cnf(s4726,plain,
( ~ spl2_97
| spl2_96
| spl2_131
| spl2_156
| ~ spl2_323
| ~ spl2_35 ),
inference(rat,[],[s3930,s268,s4463,s4474,s170]) ).
cnf(s4727,plain,
( spl2_156
| ~ spl2_31
| spl2_190 ),
inference(rat,[],[s3354,s4049,s4158,s4002,s4634,s4133,s3101,s3870,s3922,s4477,s443,s382,s44,s4010,s4726,s4725,s451,s226,s3931,s3637,s162,s4724,s170,s4723,s141,s4722,s4701,s1617,s4318,s4717,s47,s43]) ).
cnf(s4730,plain,
( spl2_112
| spl2_123 ),
inference(rat,[],[s4326,s4428]) ).
cnf(s4732,plain,
( spl2_16
| spl2_22 ),
inference(rat,[],[s4318,s43]) ).
cnf(s4736,plain,
( spl2_127
| spl2_131 ),
inference(rat,[],[s4250,s4428]) ).
cnf(s4790,plain,
( spl2_50
| ~ spl2_227
| spl2_22 ),
inference(rat,[],[s2426,s43]) ).
cnf(s4800,plain,
( spl2_12
| ~ spl2_416 ),
inference(rat,[],[s1800,s47]) ).
cnf(s4805,plain,
( spl2_350
| spl2_354 ),
inference(rat,[],[s1767,s43]) ).
cnf(s4821,plain,
( spl2_12
| ~ spl2_349 ),
inference(rat,[],[s1326,s47]) ).
cnf(s4865,plain,
( spl2_45
| spl2_31 ),
inference(rat,[],[s884,s4659]) ).
cnf(s4903,plain,
( ~ spl2_205
| ~ spl2_216
| ~ spl2_35
| ~ spl2_96
| ~ spl2_13 ),
inference(rat,[],[s584,s47]) ).
cnf(s4942,plain,
( spl2_13
| ~ spl2_96 ),
inference(rat,[],[s345,s4659]) ).
cnf(s4965,plain,
( spl2_107
| ~ spl2_17
| spl2_156
| ~ spl2_22
| ~ spl2_123 ),
inference(rat,[],[s251,s4659]) ).
cnf(s4969,plain,
( spl2_161
| ~ spl2_123
| spl2_156 ),
inference(rat,[],[s245,s4659]) ).
cnf(s4975,plain,
( ~ spl2_113
| spl2_122
| spl2_123
| ~ spl2_18 ),
inference(rat,[],[s219,s4428]) ).
cnf(s4982,plain,
( spl2_127
| spl2_131 ),
inference(rat,[],[s169,s4428]) ).
cnf(s4990,plain,
( spl2_12
| ~ spl2_117 ),
inference(rat,[],[s153,s47]) ).
cnf(s4994,plain,
( spl2_39
| ~ spl2_117 ),
inference(rat,[],[s146,s4659,s47]) ).
cnf(s4997,plain,
( ~ spl2_116
| ~ spl2_117 ),
inference(rat,[],[s141,s47]) ).
cnf(s5012,plain,
( ~ spl2_22
| ~ spl2_450
| ~ spl2_39
| ~ spl2_321
| spl2_117
| ~ spl2_190
| ~ spl2_31 ),
inference(rat,[],[s2734,s2259,s1735,s4188,s2910,s1689,s2544,s2902,s4438,s4436,s1314,s183,s1876,s58,s107,s4319,s2121,s85,s120,s1617,s87,s4601]) ).
cnf(s5013,plain,
( ~ spl2_123
| spl2_82
| spl2_156
| ~ spl2_31 ),
inference(rat,[],[s281,s4969]) ).
cnf(s5014,plain,
( spl2_142
| ~ spl2_20
| ~ spl2_18
| spl2_19
| ~ spl2_450
| ~ spl2_39
| spl2_117 ),
inference(rat,[],[s2375,s2603,s1463,s3529,s4188]) ).
cnf(s5015,plain,
( spl2_116
| spl2_156
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s2550,s2544,s2902,s2896,s5014,s48,s44,s4603,s2912,s4732,s5012,s2123,s1664,s60,s1616,s4990,s4666,s4663,s4702,s4530,s1617,s227,s4701,s4942,s606]) ).
cnf(s5016,plain,
( ~ spl2_22
| ~ spl2_116
| spl2_156
| ~ spl2_190
| ~ spl2_31 ),
inference(rat,[],[s2906,s2898,s609,s26,s4555,s25,s226,s4679,s3103,s162,s5013,s4690,s85,s282,s87,s262]) ).
cnf(s5017,plain,
( ~ spl2_39
| ~ spl2_116
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s4469,s2418,s4601,s4534,s87]) ).
cnf(s5018,plain,
( spl2_156
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s4463,s4574,s609,s2906,s2898,s4415,s4691,s26,s60,s5017,s5015,s1617,s227,s4701,s4942,s606]) ).
cnf(s5019,plain,
( ~ spl2_39
| ~ spl2_22
| spl2_116
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s3085,s3296,s1768,s232,s4171,s3450,s1812,s1463,s1679,s2935,s3608,s1664,s4442,s1314,s4417,s2123,s230,s5012,s4103,s2121,s1616,s58,s4601,s1707,s4534,s227,s4701,s4990,s4530,s282,s85,s87]) ).
cnf(s5020,plain,
( spl2_142
| spl2_423
| ~ spl2_411
| spl2_408
| ~ spl2_432
| spl2_425
| ~ spl2_367
| spl2_384
| ~ spl2_18
| spl2_8
| ~ spl2_58
| spl2_116
| spl2_35 ),
inference(rat,[],[s4238,s2606,s4435,s4402,s4445,s1356,s1653,s2123,s1854,s1681,s4521,s4188,s2910,s4701,s137,s4821,s4990,s4530]) ).
cnf(s5021,plain,
( spl2_8
| ~ spl2_22
| spl2_116
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s3032,s4238,s2606,s4402,s1854,s1601,s1356,s2123,s2902,s5020,s2734,s1589,s1738,s1505,s2589,s820,s2053,s825,s2899,s3662,s3128,s493,s1768,s3020,s4545,s4171,s4541,s1314,s2898,s1812,s1463,s230,s4552,s4103,s301,s4463,s4555,s609,s227,s4701,s4942,s606,s5018,s137,s4990,s4530,s282,s2873,s1617,s107,s120,s26,s2842,s24,s60,s5019]) ).
cnf(s5022,plain,
( spl2_142
| spl2_408
| ~ spl2_112
| ~ spl2_18
| spl2_367
| ~ spl2_432
| spl2_117
| ~ spl2_190 ),
inference(rat,[],[s4002,s1854,s4133,s4188,s2910]) ).
cnf(s5023,plain,
( ~ spl2_18
| spl2_367
| ~ spl2_432
| ~ spl2_384
| ~ spl2_8
| spl2_82
| spl2_117
| ~ spl2_156
| ~ spl2_190
| ~ spl2_323 ),
inference(rat,[],[s4052,s3608,s1664,s3959,s2123,s4064,s2896,s5022,s2899,s1768,s2494,s162,s1107,s1875,s4103,s859,s1780,s230,s1314]) ).
cnf(s5025,plain,
( ~ spl2_142
| spl2_326
| ~ spl2_350
| spl2_18
| ~ spl2_384
| ~ spl2_8
| ~ spl2_323 ),
inference(rat,[],[s3708,s2123,s4505,s2896]) ).
cnf(s5026,plain,
( ~ spl2_22
| spl2_116
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s2053,s2589,s3662,s3551,s3020,s4617,s2123,s3708,s1854,s4002,s4133,s5025,s1371,s2899,s4592,s1768,s3449,s170,s162,s2894,s3911,s1876,s382,s44,s5023,s820,s1780,s825,s3919,s3128,s493,s2544,s215,s394,s1616,s5021,s1674,s60,s5019,s107,s85,s120,s282,s1617,s87,s227,s4701,s4942,s606,s5018,s4800,s4990,s4530]) ).
cnf(s5027,plain,
( spl2_384
| ~ spl2_142
| spl2_122
| ~ spl2_41
| ~ spl2_18
| ~ spl2_131
| spl2_116
| spl2_35 ),
inference(rat,[],[s4390,s1768,s4545,s4171,s2898,s1812,s1463,s4701,s470]) ).
cnf(s5028,plain,
( spl2_8
| spl2_116
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s4467,s3209,s4103,s1718,s2638,s3279,s5027,s2910,s495,s3204,s2842,s26,s4463,s1546,s4534,s609,s1617,s4701,s4942,s606,s5018,s4392,s4732,s5026,s227]) ).
cnf(s5029,plain,
( ~ spl2_142
| ~ spl2_367
| ~ spl2_8
| ~ spl2_131
| spl2_35
| ~ spl2_323 ),
inference(rat,[],[s2935,s4417,s4301,s2902,s227,s4701]) ).
cnf(s5030,plain,
( spl2_384
| spl2_153
| spl2_116
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s3694,s264,s213,s2894,s2880,s1876,s44,s3087,s48,s4160,s3529,s5029,s1768,s2550,s4171,s2544,s1812,s1463,s1617,s4701,s5018,s4990,s4530,s4392,s4732,s5026,s227,s1616,s5028]) ).
cnf(s5031,plain,
( spl2_142
| ~ spl2_20
| ~ spl2_18
| ~ spl2_39
| spl2_19
| ~ spl2_16
| spl2_117
| ~ spl2_190 ),
inference(rat,[],[s2628,s3515,s5014]) ).
cnf(s5032,plain,
( ~ spl2_18
| spl2_326
| ~ spl2_384
| ~ spl2_39
| ~ spl2_8
| ~ spl2_131
| spl2_22
| spl2_117
| spl2_35
| ~ spl2_323 ),
inference(rat,[],[s3924,s1875,s3708,s31,s3758,s2123,s1677,s2934,s3388,s2896,s5029,s5031,s48,s4701,s4732,s2912]) ).
cnf(s5033,plain,
( ~ spl2_39
| spl2_116
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s4414,s4349,s4309,s264,s31,s2894,s3997,s1876,s4006,s44,s5032,s1371,s2471,s5030,s4601,s1707,s1617,s4942,s606,s5018,s4990,s4530,s4392,s4732,s5026,s227,s2165,s5028]) ).
cnf(s5034,plain,
( spl2_116
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s4408,s44,s4349,s493,s2391,s215,s5033,s2912,s5028,s4392,s4732,s5026,s4990,s4530,s227,s4942,s606]) ).
cnf(s5035,plain,
( ~ spl2_22
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s4463,s4557,s609,s1616,s2544,s4690,s1617,s4942,s606,s4997,s1674,s60,s5017,s5034,s4701]) ).
cnf(s5036,plain,
( ~ spl2_97
| spl2_35
| ~ spl2_31 ),
inference(rat,[],[s31,s4309,s4304,s1875,s312,s4700,s4461,s493,s4553,s2910,s292,s2321,s495,s301,s4463,s1617,s4701,s4942,s606,s5018,s60,s26,s5017,s5034,s4732,s5035]) ).
cnf(s5037,plain,
( spl2_35
| ~ spl2_31 ),
inference(rat,[],[s4634,s170,s3101,s2894,s443,s1876,s2544,s4790,s1616,s4010,s3638,s609,s5036,s4732,s5035,s1674,s60,s265,s5017,s824,s5034,s5018,s4701]) ).
cnf(s5038,plain,
( spl2_8
| ~ spl2_22
| spl2_116
| ~ spl2_31 ),
inference(rat,[],[s410,s3132,s412,s4706,s4705,s409,s222,s220,s12,s4736,s3103,s3637,s262,s3931,s4942,s453,s226,s4712,s4555,s4534,s609,s2873,s1617,s162,s4622,s282,s5037]) ).
cnf(s5039,plain,
( ~ spl2_39
| spl2_156
| spl2_147
| ~ spl2_112
| spl2_40
| ~ spl2_22
| ~ spl2_35 ),
inference(rat,[],[s222,s4736,s4706,s3929,s4263,s25,s58,s3103,s262]) ).
cnf(s5040,plain,
( spl2_39
| ~ spl2_22
| spl2_116
| ~ spl2_31 ),
inference(rat,[],[s4982,s4623,s222,s2544,s4703,s1674,s4994,s60,s4717,s4622,s282,s5037,s107,s120,s1616,s5038]) ).
cnf(s5041,plain,
( ~ spl2_22
| spl2_116
| ~ spl2_31 ),
inference(rat,[],[s5039,s4713,s5040,s2165,s5038,s162,s4622,s85,s282,s87,s5037]) ).
cnf(s5042,plain,
( spl2_156
| spl2_8
| spl2_116
| ~ spl2_31 ),
inference(rat,[],[s476,s485,s284,s462,s3510,s4726,s4721,s4385,s262,s1617,s5037,s4732,s5041,s609,s24,s60,s4534]) ).
cnf(s5043,plain,
( spl2_8
| spl2_116
| ~ spl2_31 ),
inference(rat,[],[s264,s826,s4975,s4463,s4474,s2781,s453,s5042,s2842,s4534,s609,s1617,s5037]) ).
cnf(s5044,plain,
( ~ spl2_39
| spl2_156
| spl2_116
| ~ spl2_31 ),
inference(rat,[],[s3279,s2906,s1780,s2829,s2494,s1768,s4390,s4461,s5031,s4990,s2731,s3510,s48,s859,s4607,s3582,s111,s4474,s213,s3694,s4459,s454,s5037,s4732,s2912,s5043,s5041,s4727,s4385]) ).
cnf(s5045,plain,
( spl2_156
| spl2_116
| ~ spl2_31 ),
inference(rat,[],[s4623,s3100,s4622,s503,s2544,s170,s44,s284,s4706,s493,s1674,s4721,s2391,s3697,s60,s5044,s4727,s262,s5037,s4732,s1616,s2165,s2912,s5043,s5041]) ).
cnf(s5046,plain,
( ~ spl2_39
| ~ spl2_156
| ~ spl2_8
| ~ spl2_16
| spl2_116
| ~ spl2_35 ),
inference(rat,[],[s2127,s2263,s493,s213,s3694,s3682]) ).
cnf(s5047,plain,
( spl2_116
| ~ spl2_31 ),
inference(rat,[],[s2906,s2898,s4627,s4623,s170,s4351,s4414,s3100,s4622,s503,s382,s44,s284,s4706,s493,s2391,s3697,s26,s5046,s453,s5045,s2912,s2165,s5043,s4732,s5041,s5037]) ).
cnf(s5048,plain,
( ~ spl2_22
| ~ spl2_31 ),
inference(rat,[],[s2898,s2906,s26,s609,s2317,s4712,s2414,s453,s5016,s4690,s4717,s5037,s5047]) ).
cnf(s5049,plain,
( ~ spl2_96
| spl2_8
| ~ spl2_31 ),
inference(rat,[],[s507,s511,s485,s537,s3112,s476,s4903,s613,s462,s4942,s288,s170,s4723,s5047,s5037,s5048,s609,s24,s60,s4534]) ).
cnf(s5050,plain,
( spl2_8
| ~ spl2_31 ),
inference(rat,[],[s4008,s268,s4463,s4474,s5049,s4534,s609,s1617,s4723,s5047,s5037,s4732,s5048]) ).
cnf(s5051,plain,
( spl2_156
| ~ spl2_31 ),
inference(rat,[],[s4623,s2544,s3100,s443,s4622,s1674,s44,s284,s60,s3930,s4725,s4727,s174,s3635,s170,s4723,s5047,s5037,s1616,s2912,s5050,s5048]) ).
cnf(s5052,plain,
~ spl2_31,
inference(rat,[],[s2544,s1674,s4623,s4648,s3100,s443,s4622,s44,s284,s2391,s60,s2317,s2414,s5051,s2912,s1616,s5050,s4732,s5048,s170,s174,s4723,s3635,s5047,s5037]) ).
cnf(s5054,plain,
spl2_25,
inference(rat,[],[s752,s5052]) ).
cnf(s5055,plain,
~ spl2_13,
inference(rat,[],[s502,s5052]) ).
cnf(s5057,plain,
spl2_45,
inference(rat,[],[s4865,s5052]) ).
cnf(s5058,plain,
~ spl2_96,
inference(rat,[],[s4942,s5055]) ).
cnf(s5059,plain,
spl2_316,
inference(rat,[],[s1875,s5057]) ).
cnf(s5060,plain,
( spl2_8
| ~ spl2_22
| spl2_116
| spl2_35 ),
inference(rat,[],[s4546,s4551,s4552,s231,s1674,s2115,s2842,s60,s301,s4534,s609,s4701,s3781,s162,s1107,s282,s4666,s4686,s4990,s4530,s137,s5058,s5054,s5057,s5052]) ).
cnf(s5061,plain,
( ~ spl2_22
| spl2_116
| spl2_35 ),
inference(rat,[],[s85,s58,s1924,s215,s2935,s820,s2767,s2894,s3631,s1876,s3508,s787,s5060,s4507,s162,s1107,s282,s4701,s4666,s4686,s4990,s4530,s5057,s5054,s5052]) ).
cnf(s5062,plain,
( spl2_116
| spl2_35 ),
inference(rat,[],[s4699,s484,s4732,s5061,s4666,s4686,s4990,s4530,s227,s5057,s5052]) ).
cnf(s5063,plain,
( spl2_8
| ~ spl2_22
| ~ spl2_116 ),
inference(rat,[],[s2115,s301,s4557,s609,s4997,s5058]) ).
cnf(s5064,plain,
( ~ spl2_22
| spl2_35 ),
inference(rat,[],[s4507,s1107,s4700,s4421,s5063,s282,s227,s4686,s4997,s5062,s5054,s5057,s5059,s5052]) ).
cnf(s5065,plain,
spl2_35,
inference(rat,[],[s1867,s4191,s1600,s2912,s1657,s1689,s4534,s4350,s3825,s3098,s37,s3510,s4340,s283,s284,s3232,s1107,s4393,s4507,s170,s4700,s4687,s4821,s4524,s3076,s4732,s5064,s4686,s4997,s5062,s227,s5057,s5054,s5059,s5052]) ).
cnf(s5066,plain,
~ spl2_79,
inference(rat,[],[s2113,s5065]) ).
cnf(s5067,plain,
( ~ spl2_97
| spl2_122
| ~ spl2_22 ),
inference(rat,[],[s7,s4965,s4441,s1107,s4975,s2115,s4060,s301,s4474,s282,s5065,s5058,s5057]) ).
cnf(s5068,plain,
( spl2_190
| ~ spl2_192
| ~ spl2_112
| ~ spl2_8
| ~ spl2_22 ),
inference(rat,[],[s2397,s4708,s3686,s64,s4994,s59,s85,s5054,s5057,s5066]) ).
cnf(s5069,plain,
( ~ spl2_192
| spl2_123
| spl2_132
| ~ spl2_8
| ~ spl2_22 ),
inference(rat,[],[s2494,s1780,s1768,s3919,s2995,s2544,s1674,s5068,s60,s59,s85,s1616,s162,s5065,s5057,s5066]) ).
cnf(s5070,plain,
( spl2_190
| ~ spl2_50
| ~ spl2_112
| ~ spl2_22 ),
inference(rat,[],[s4175,s4133,s4708,s4477,s3686,s64,s4994,s59,s85,s5054,s5058,s5057,s5066]) ).
cnf(s5071,plain,
( ~ spl2_22
| spl2_116 ),
inference(rat,[],[s3449,s1780,s1768,s3919,s2995,s2544,s1674,s5070,s369,s5069,s170,s162,s222,s2145,s4706,s1616,s3711,s609,s5067,s2842,s60,s59,s85,s64,s5065,s5057,s5066]) ).
cnf(s5072,plain,
( spl2_190
| spl2_8
| ~ spl2_16 ),
inference(rat,[],[s3961,s3604,s3924,s4158,s1601,s3354,s2123,s3113,s4453,s1385,s4990,s4524,s301,s609,s24,s60,s4534,s5059,s5058,s5052]) ).
cnf(s5073,plain,
( ~ spl2_131
| ~ spl2_350
| spl2_8
| spl2_116 ),
inference(rat,[],[s4491,s4503,s4307,s2463,s4562,s4561,s2610,s2911,s33,s4160,s8,s3529,s2696,s4388,s4305,s137,s4990,s4524,s301,s1463,s3630,s3631,s44,s4571,s2898,s2995,s4179,s2074,s3689,s484,s5072,s4732,s5071,s2842,s4474,s609,s26,s4534,s5057,s5065,s5058,s5052]) ).
cnf(s5074,plain,
( ~ spl2_350
| spl2_8
| spl2_116 ),
inference(rat,[],[s4491,s4503,s4307,s2463,s4562,s4561,s2123,s2610,s1601,s4489,s33,s8,s3257,s170,s5073,s3630,s3631,s44,s4571,s2898,s2995,s137,s4990,s4524,s4179,s2074,s3689,s484,s4474,s301,s609,s26,s2842,s24,s60,s4534,s5072,s4732,s5071,s5057,s5065,s5058,s5052]) ).
cnf(s5075,plain,
( spl2_8
| spl2_116 ),
inference(rat,[],[s264,s826,s2781,s2631,s2827,s1768,s5074,s5072,s4474,s609,s4732,s3689,s484,s5071,s5065,s5058,s5052]) ).
cnf(s5076,plain,
( ~ spl2_97
| spl2_190
| spl2_116 ),
inference(rat,[],[s44,s4486,s4483,s215,s3113,s301,s4474,s3689,s484,s4990,s4524,s4732,s5071,s5075,s5054,s5057,s5058,s5065,s5052]) ).
cnf(s5077,plain,
( ~ spl2_18
| ~ spl2_411
| ~ spl2_421
| ~ spl2_417
| ~ spl2_39
| spl2_116 ),
inference(rat,[],[s4094,s4140,s3188,s3503,s4510,s4732,s3689,s484,s5071,s5052]) ).
cnf(s5078,plain,
( ~ spl2_113
| spl2_190
| spl2_116 ),
inference(rat,[],[s3949,s2734,s2487,s3114,s2984,s4013,s4160,s4307,s4140,s1780,s1853,s3529,s3630,s4094,s3922,s4612,s4477,s3631,s4061,s382,s44,s5077,s2211,s4153,s1463,s2463,s2606,s2461,s3129,s4472,s2168,s2631,s262,s2170,s3682,s213,s215,s4990,s4524,s4732,s4179,s2074,s3689,s484,s5071,s5075,s5076,s5057,s5065,s5058,s5054,s5052]) ).
cnf(s5079,plain,
( spl2_190
| spl2_116 ),
inference(rat,[],[s3631,s3630,s44,s3510,s4467,s2145,s5078,s3110,s5076,s4732,s3689,s484,s5071,s5057,s5052]) ).
cnf(s5080,plain,
( ~ spl2_113
| spl2_116 ),
inference(rat,[],[s1735,s2734,s2544,s3032,s2995,s4238,s1768,s2463,s2606,s1689,s2827,s4472,s2168,s2631,s2170,s3682,s213,s215,s4990,s4524,s4732,s4179,s2074,s3689,s484,s5071,s1616,s5075,s5079,s5065,s5052]) ).
cnf(s5081,plain,
spl2_116,
inference(rat,[],[s3631,s3630,s44,s3510,s4467,s3110,s2145,s4474,s5080,s3689,s484,s4732,s5071,s5057,s5058,s5065,s5052]) ).
cnf(s5082,plain,
~ spl2_117,
inference(rat,[],[s4997,s5081]) ).
cnf(s5083,plain,
spl2_118,
inference(rat,[],[s288,s5065,s5081]) ).
cnf(s5084,plain,
~ spl2_75,
inference(rat,[],[s3635,s5065,s5081]) ).
cnf(s5085,plain,
~ spl2_132,
inference(rat,[],[s174,s5081,s5084]) ).
cnf(s5086,plain,
( ~ spl2_19
| ~ spl2_123
| spl2_8 ),
inference(rat,[],[s4805,s2488,s4388,s4700,s2910,s268,s4474,s292,s301,s609,s5072,s4732,s5063,s5081,s5059,s5058,s5065]) ).
cnf(s5087,plain,
( ~ spl2_131
| ~ spl2_123
| spl2_8 ),
inference(rat,[],[s2610,s4048,s2911,s4160,s3529,s2696,s4388,s4305,s4474,s4072,s1463,s3066,s1768,s2488,s1107,s284,s2391,s5086,s4534,s5072,s4732,s5063,s292,s301,s609,s5083,s5082,s5057,s5066,s5081,s5058,s5065]) ).
cnf(s5088,plain,
( spl2_142
| ~ spl2_127
| spl2_400
| spl2_384
| ~ spl2_16 ),
inference(rat,[],[s4048,s3982,s4160,s4158,s3529,s1463,s5083,s5082]) ).
cnf(s5089,plain,
( ~ spl2_123
| spl2_8 ),
inference(rat,[],[s4048,s2123,s2610,s1601,s4505,s5088,s170,s5087,s4072,s3066,s1768,s2488,s1107,s284,s2391,s5086,s4474,s292,s301,s609,s24,s60,s4534,s5072,s4732,s5063,s5083,s5065,s5081,s5066,s5057,s5058]) ).
cnf(s5090,plain,
( ~ spl2_18
| spl2_8 ),
inference(rat,[],[s3066,s1725,s1768,s2934,s2488,s4558,s4700,s2910,s268,s495,s4474,s26,s4534,s292,s301,s609,s5072,s4732,s5063,s5081,s5066,s5059,s5058,s5065]) ).
cnf(s5091,plain,
( spl2_142
| ~ spl2_350
| spl2_8 ),
inference(rat,[],[s4048,s3140,s4160,s3529,s2932,s4474,s609,s5072,s4732,s5063,s162,s5089,s4072,s1463,s3066,s5083,s5082,s5066,s5081,s5065,s5058]) ).
cnf(s5093,plain,
( ~ spl2_350
| spl2_8 ),
inference(rat,[],[s4048,s2123,s2610,s1601,s4505,s5091,s4072,s3066,s4474,s609,s24,s60,s4534,s5072,s4732,s5063,s5090,s5083,s5065,s5081,s5066,s5058]) ).
cnf(s5094,plain,
spl2_8,
inference(rat,[],[s265,s2781,s824,s2488,s1768,s5093,s5072,s292,s4732,s301,s5063,s609,s5081,s5065,s5058]) ).
cnf(s5095,plain,
spl2_321,
inference(rat,[],[s1616,s5094]) ).
cnf(s5098,plain,
( ~ spl2_131
| ~ spl2_123
| ~ spl2_18
| spl2_190 ),
inference(rat,[],[s4485,s2151,s4561,s2261,s4136,s2123,s3129,s2397,s4010,s111,s2168,s3686,s4732,s4496,s4305,s4467,s222,s4098,s1385,s859,s5057,s5065,s5082,s5054,s5094,s5058,s5085,s5081]) ).
cnf(s5099,plain,
( ~ spl2_123
| ~ spl2_18
| ~ spl2_113
| spl2_190 ),
inference(rat,[],[s4430,s4008,s282,s3682,s1107,s3930,s268,s170,s5098,s5065,s5057]) ).
cnf(s5100,plain,
( ~ spl2_18
| ~ spl2_113
| spl2_190 ),
inference(rat,[],[s2246,s2839,s4561,s4052,s1768,s2123,s3961,s4126,s2397,s3604,s4124,s3686,s3529,s4467,s1463,s4020,s3129,s2631,s262,s2168,s3024,s2170,s2318,s3390,s2391,s48,s2912,s4732,s5069,s5099,s859,s1385,s5065,s5059,s5054,s5094,s5057,s5082,s5081,s5066,s5085]) ).
cnf(s5101,plain,
( ~ spl2_39
| ~ spl2_131
| spl2_18
| spl2_190 ),
inference(rat,[],[s4612,s2318,s262,s1107,s4730,s4002,s4561,s4176,s1385,s4133,s4477,s3922,s382,s44,s284,s4732,s222,s2168,s4305,s5065,s5082,s5081,s5057,s5085,s5058,s5054]) ).
cnf(s5102,plain,
( ~ spl2_345
| ~ spl2_440
| ~ spl2_143
| spl2_142 ),
inference(rat,[],[s3561,s2978]) ).
cnf(s5103,plain,
( ~ spl2_425
| ~ spl2_476
| ~ spl2_154
| spl2_377
| ~ spl2_450
| ~ spl2_143
| spl2_47
| spl2_449
| spl2_142 ),
inference(rat,[],[s2962,s2019,s1768,s2246,s2839,s3454,s2805,s5102,s2296,s4185,s4085,s2053,s3947,s5082,s5057,s5065,s5085]) ).
cnf(s5104,plain,
( ~ spl2_131
| ~ spl2_113
| spl2_190 ),
inference(rat,[],[s4651,s484,s5101,s222,s4453,s5103,s2631,s262,s1107,s4730,s4002,s284,s4561,s1385,s4176,s4133,s1780,s3922,s382,s3630,s1644,s3631,s4477,s44,s5100,s5057,s5052,s5085,s5065,s5058,s5054,s5082]) ).
cnf(s5105,plain,
( ~ spl2_113
| spl2_190 ),
inference(rat,[],[s3912,s85,s4732,s4158,s3066,s1768,s2246,s3982,s2914,s170,s5104,s4730,s4002,s4561,s4176,s4133,s3922,s4477,s382,s44,s5100,s1385,s5081,s5066,s5082,s5065,s5054,s5058]) ).
cnf(s5106,plain,
( ~ spl2_131
| ~ spl2_18
| spl2_113 ),
inference(rat,[],[s3984,s2391,s2168,s2912,s4732,s4305,s222,s5081,s5065,s5094,s5057,s5085]) ).
cnf(s5107,plain,
( ~ spl2_22
| ~ spl2_192 ),
inference(rat,[],[s3912,s5069,s85,s5081,s5085,s5094,s5066]) ).
cnf(s5108,plain,
( ~ spl2_18
| spl2_113 ),
inference(rat,[],[s2414,s2317,s3930,s2391,s2912,s4732,s5107,s170,s5106,s859,s5065,s5081,s5094]) ).
cnf(s5109,plain,
spl2_190,
inference(rat,[],[s4561,s4002,s4176,s162,s4133,s3922,s3913,s4477,s382,s44,s5108,s5105,s1385,s5065,s5054,s5082,s5058]) ).
cnf(s5110,plain,
( ~ spl2_18
| ~ spl2_113 ),
inference(rat,[],[s2544,s2550,s3066,s4558,s1768,s4020,s2827,s2631,s3024,s3390,s5031,s2391,s48,s2912,s4732,s5107,s859,s5109,s5095,s5081,s5066,s5059,s5082,s5094]) ).
cnf(s5111,plain,
~ spl2_22,
inference(rat,[],[s3431,s3496,s1780,s1768,s3919,s2995,s2544,s1674,s60,s162,s59,s3912,s222,s85,s5065,s5085,s5109,s5095,s5057,s5081,s5066]) ).
cnf(s5113,plain,
spl2_16,
inference(rat,[],[s4732,s5111]) ).
cnf(s5115,plain,
spl2_210,
inference(rat,[],[s484,s5052,s5111]) ).
cnf(s5116,plain,
~ spl2_28,
inference(rat,[],[s3671,s5054,s5111]) ).
cnf(s5119,plain,
~ spl2_12,
inference(rat,[],[s4524,s5052,s5113]) ).
cnf(s5122,plain,
~ spl2_349,
inference(rat,[],[s4821,s5119]) ).
cnf(s5124,plain,
( ~ spl2_131
| ~ spl2_113 ),
inference(rat,[],[s2734,s4613,s1735,s3354,s1689,s4158,s4472,s4558,s60,s2550,s1674,s2544,s4072,s3066,s1768,s2827,s2168,s2631,s4305,s4700,s5082,s5109,s5083,s5113,s5065,s5085,s5059,s5095,s5081,s5066,s5057]) ).
cnf(s5125,plain,
( ~ spl2_39
| ~ spl2_113 ),
inference(rat,[],[s3032,s4240,s3971,s2734,s4310,s2053,s1735,s4024,s4088,s2544,s4094,s4502,s4307,s4185,s3066,s2463,s2907,s1689,s1768,s4472,s2827,s2631,s2168,s3024,s2170,s3390,s4061,s3630,s3631,s44,s3052,s3665,s170,s5124,s3237,s3888,s382,s5110,s5065,s5081,s5082,s5113,s5059,s5109,s5095,s5057,s5066,s5115,s5094,s5085,s5058,s5116]) ).
cnf(s5126,plain,
( spl2_142
| ~ spl2_113 ),
inference(rat,[],[s4404,s2975,s3732,s1354,s2805,s3868,s2963,s4049,s2312,s3140,s2916,s2932,s170,s1780,s3106,s3391,s2296,s3660,s3914,s2053,s3947,s4651,s2780,s265,s824,s3630,s3631,s44,s162,s1107,s2631,s2827,s1768,s2995,s2544,s1674,s60,s5125,s284,s5110,s5124,s5094,s5109,s5082,s5084,s5081,s5113,s5057,s5085,s5065,s5095,s5115]) ).
cnf(s5127,plain,
~ spl2_113,
inference(rat,[],[s2963,s2805,s2123,s1668,s3708,s3925,s5126,s4185,s2296,s3660,s3914,s2053,s3947,s4651,s2780,s162,s1680,s265,s3920,s1107,s824,s1780,s2631,s3106,s2827,s1768,s2995,s2544,s1674,s60,s5125,s3391,s5124,s3630,s3631,s382,s44,s284,s5110,s5084,s5082,s5094,s5057,s5065,s5085,s5115,s5081,s5109,s5095,s5058]) ).
cnf(s5131,plain,
spl2_134,
inference(rat,[],[s493,s5127]) ).
cnf(s5132,plain,
spl2_172,
inference(rat,[],[s371,s5065,s5127]) ).
cnf(s5133,plain,
~ spl2_97,
inference(rat,[],[s4474,s5065,s5058,s5127]) ).
cnf(s5135,plain,
~ spl2_18,
inference(rat,[],[s5108,s5127]) ).
cnf(s5142,plain,
spl2_50,
inference(rat,[],[s44,s5135]) ).
cnf(s5143,plain,
~ spl2_70,
inference(rat,[],[s382,s5058,s5135]) ).
cnf(s5148,plain,
~ spl2_67,
inference(rat,[],[s4061,s5057,s5142]) ).
cnf(s5149,plain,
~ spl2_233,
inference(rat,[],[s3631,s5057,s5142]) ).
cnf(s5151,plain,
~ spl2_539,
inference(rat,[],[s4414,s5127,s5058,s5142]) ).
cnf(s5154,plain,
~ spl2_123,
inference(rat,[],[s3913,s5127,s5142,s5143]) ).
cnf(s5156,plain,
~ spl2_47,
inference(rat,[],[s3630,s5135,s5149]) ).
cnf(s5157,plain,
~ spl2_131,
inference(rat,[],[s4351,s5131,s5151]) ).
cnf(s5162,plain,
spl2_112,
inference(rat,[],[s162,s5154]) ).
cnf(s5172,plain,
~ spl2_39,
inference(rat,[],[s2168,s3984,s2170,s5065,s5127,s5081]) ).
cnf(s5173,plain,
spl2_11,
inference(rat,[],[s60,s5172]) ).
cnf(s5178,plain,
spl2_425,
inference(rat,[],[s4651,s5115,s5057,s5133,s5156,s5172]) ).
cnf(s5181,plain,
~ spl2_396,
inference(rat,[],[s1674,s5109,s5173]) ).
cnf(s5182,plain,
~ spl2_474,
inference(rat,[],[s3947,s5085,s5065,s5178]) ).
cnf(s5184,plain,
spl2_384,
inference(rat,[],[s2544,s5095,s5109,s5181]) ).
cnf(s5185,plain,
spl2_472,
inference(rat,[],[s2053,s5182]) ).
cnf(s5186,plain,
~ spl2_350,
inference(rat,[],[s2995,s5085,s5065,s5184]) ).
cnf(s5187,plain,
~ spl2_490,
inference(rat,[],[s3914,s5162,s5185]) ).
cnf(s5189,plain,
~ spl2_440,
inference(rat,[],[s3660,s5157,s5187,s5185]) ).
cnf(s5190,plain,
spl2_354,
inference(rat,[],[s1768,s5186]) ).
cnf(s5192,plain,
spl2_411,
inference(rat,[],[s2296,s5189]) ).
cnf(s5198,plain,
~ spl2_434,
inference(rat,[],[s2211,s5057,s5192]) ).
cnf(s5199,plain,
spl2_409,
inference(rat,[],[s4185,s5057,s5156,s5192]) ).
cnf(s5200,plain,
~ spl2_418,
inference(rat,[],[s4307,s5057,s5156,s5192]) ).
cnf(s5201,plain,
~ spl2_538,
inference(rat,[],[s4094,s5148,s5192]) ).
cnf(s5212,plain,
spl2_452,
inference(rat,[],[s4340,s4024,s4182,s4007,s3667,s3715,s2487,s5122,s5201,s5059,s5200,s5094,s5199,s5054]) ).
cnf(s5213,plain,
~ spl2_346,
inference(rat,[],[s2943,s5184,s5178,s5084,s5212]) ).
cnf(s5215,plain,
~ spl2_421,
inference(rat,[],[s2336,s5198,s5132,s5212]) ).
cnf(s5216,plain,
spl2_347,
inference(rat,[],[s2734,s5082,s5213]) ).
cnf(s5227,plain,
~ spl2_395,
inference(rat,[],[s2200,s5185,s5216]) ).
cnf(s5229,plain,
$false,
inference(rat,[],[s3857,s5190,s5215,s5227,s5216]) ).
thf(f52518,plain,
$false,
inference(avatar_sat_refutation,[],[s5229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA098^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 18:52:37 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 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
% 0.71/0.39 % (746531)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.39 % (746536)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2342122217:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.39 % (746537)lrs+10_16_si=on:nwc=1.5:random_seed=2718141706:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.39 % (746539)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=3637876977: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)
% 0.71/0.39 % (746542)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.39 % (746538)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3027542639:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.39 % (746542)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
% 0.71/0.39 % (746538)Instruction limit reached!
% 0.71/0.39 % (746538)------------------------------
% 0.71/0.39 % (746538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.39 % (746538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.39 % (746538)CaDiCaL version: 2.1.3
% 0.71/0.39 % (746538)Termination reason: Instruction limit
% 0.71/0.39 % (746538)Termination phase: Saturation
% 0.71/0.39 % (746538)Time elapsed: 0.002 s
% 0.71/0.39 % (746538)Peak memory usage: 12 MB
% 0.71/0.39 % (746538)Instructions burned: 3 (million)
% 0.71/0.39 % (746542)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=3366578947:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.39 % (746537)Instruction limit reached!
% 0.71/0.39 % (746537)------------------------------
% 0.71/0.39 % (746537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.39 % (746537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.39 % (746537)CaDiCaL version: 2.1.3
% 0.71/0.39 % (746537)Termination reason: Instruction limit
% 0.71/0.39 % (746537)Termination phase: Saturation
% 0.71/0.39 % (746537)Time elapsed: 0.011 s
% 0.71/0.39 % (746537)Peak memory usage: 12 MB
% 0.71/0.39 % (746537)Instructions burned: 19 (million)
% 0.71/0.39 % (746536)Instruction limit reached!
% 0.71/0.39 % (746536)------------------------------
% 0.71/0.39 % (746536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.39 % (746536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.39 % (746536)CaDiCaL version: 2.1.3
% 0.71/0.39 % (746536)Termination reason: Instruction limit
% 0.71/0.39 % (746536)Termination phase: Saturation
% 0.71/0.39 % (746536)Time elapsed: 0.021 s
% 0.71/0.39 % (746536)Peak memory usage: 12 MB
% 0.71/0.39 % (746536)Instructions burned: 91 (million)
% 0.71/0.39 % (746541)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2445745615:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.39 % (746540)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4018596319:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.39 % (746552)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.39 % (746548)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2520885354:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.39 % (746552)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=520808455:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.39 % (746548)Instruction limit reached!
% 0.71/0.39 % (746548)------------------------------
% 0.71/0.39 % (746548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.39 % (746548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.39 % (746548)CaDiCaL version: 2.1.3
% 0.71/0.39 % (746548)Termination reason: Instruction limit
% 0.71/0.41 % (746548)Termination phase: Saturation
% 0.71/0.41 % (746548)Time elapsed: 0.002 s
% 0.71/0.41 % (746548)Peak memory usage: 12 MB
% 0.71/0.41 % (746548)Instructions burned: 2 (million)
% 0.71/0.41 % (746552)Instruction limit reached!
% 0.71/0.41 % (746552)------------------------------
% 0.71/0.41 % (746552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.41 % (746552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.41 % (746552)CaDiCaL version: 2.1.3
% 0.71/0.41 % (746552)Termination reason: Instruction limit
% 0.71/0.41 % (746552)Termination phase: Saturation
% 0.71/0.41 % (746552)Time elapsed: 0.002 s
% 0.71/0.41 % (746552)Peak memory usage: 12 MB
% 0.71/0.41 % (746552)Instructions burned: 8 (million)
% 0.71/0.41 % (746549)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=105805901:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.41 % (746549)Instruction limit reached!
% 0.71/0.41 % (746549)------------------------------
% 0.71/0.41 % (746549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (746549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (746549)CaDiCaL version: 2.1.3
% 0.71/0.42 % (746549)Termination reason: Instruction limit
% 0.71/0.42 % (746549)Termination phase: Saturation
% 0.71/0.42 % (746549)Time elapsed: 0.004 s
% 0.71/0.42 % (746549)Peak memory usage: 12 MB
% 0.71/0.42 % (746549)Instructions burned: 5 (million)
% 0.71/0.42 % (746556)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
% 0.71/0.42 % (746556)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.42 % (746540)Instruction limit reached!
% 0.71/0.42 % (746540)------------------------------
% 0.71/0.42 % (746540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (746540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (746540)CaDiCaL version: 2.1.3
% 0.71/0.42 % (746540)Termination reason: Instruction limit
% 0.71/0.42 % (746540)Termination phase: Saturation
% 0.71/0.42 % (746540)Time elapsed: 0.023 s
% 0.71/0.42 % (746540)Peak memory usage: 12 MB
% 0.71/0.42 % (746540)Instructions burned: 25 (million)
% 0.71/0.42 % (746556)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1551054097:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.42 % (746555)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1169366596:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.42 % (746556)Instruction limit reached!
% 0.71/0.42 % (746556)------------------------------
% 0.71/0.42 % (746556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (746556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (746556)CaDiCaL version: 2.1.3
% 0.71/0.42 % (746556)Termination reason: Instruction limit
% 0.71/0.42 % (746556)Termination phase: Saturation
% 0.71/0.42 % (746556)Time elapsed: 0.008 s
% 0.71/0.42 % (746556)Peak memory usage: 12 MB
% 0.71/0.42 % (746556)Instructions burned: 32 (million)
% 0.71/0.42 % (746555)Instruction limit reached!
% 0.71/0.42 % (746555)------------------------------
% 0.71/0.42 % (746555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (746555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (746555)CaDiCaL version: 2.1.3
% 0.71/0.42 % (746555)Termination reason: Instruction limit
% 0.71/0.42 % (746555)Termination phase: Saturation
% 0.71/0.42 % (746555)Time elapsed: 0.008 s
% 0.71/0.42 % (746555)Peak memory usage: 12 MB
% 0.71/0.42 % (746555)Instructions burned: 13 (million)
% 0.71/0.42 % (746558)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=869328535:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.71/0.42 % (746542)Instruction limit reached!
% 0.71/0.42 % (746542)------------------------------
% 0.71/0.42 % (746542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (746562)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.44 % (746542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (746542)CaDiCaL version: 2.1.3
% 0.71/0.44 % (746542)Termination reason: Instruction limit
% 0.71/0.44 % (746542)Termination phase: Saturation
% 0.71/0.44 % (746542)Time elapsed: 0.069 s
% 0.71/0.44 % (746542)Peak memory usage: 12 MB
% 0.71/0.44 % (746542)Instructions burned: 162 (million)
% 0.71/0.44 % (746560)lrs+10_1_si=on:cs=on:random_seed=4186101881:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.71/0.44 % (746563)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3432669010:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.71/0.44 % (746562)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=1767996155:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.44 % (746563)Refutation not found, incomplete strategy
% 0.71/0.44 % (746563)------------------------------
% 0.71/0.44 % (746563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (746563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (746563)CaDiCaL version: 2.1.3
% 0.71/0.44 % (746563)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.44 % (746563)Time elapsed: 0.001 s
% 0.71/0.44 % (746563)Peak memory usage: 11 MB
% 0.71/0.44 % (746541)Instruction limit reached!
% 0.71/0.44 % (746541)------------------------------
% 0.71/0.44 % (746541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (746541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (746541)CaDiCaL version: 2.1.3
% 0.71/0.44 % (746541)Termination reason: Instruction limit
% 0.71/0.44 % (746541)Termination phase: Saturation
% 0.71/0.44 % (746541)Time elapsed: 0.064 s
% 0.71/0.44 % (746541)Peak memory usage: 12 MB
% 0.71/0.44 % (746541)Instructions burned: 75 (million)
% 0.71/0.44 % (746562)Instruction limit reached!
% 0.71/0.44 % (746562)------------------------------
% 0.71/0.44 % (746562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (746562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (746562)CaDiCaL version: 2.1.3
% 0.71/0.44 % (746562)Termination reason: Instruction limit
% 0.71/0.44 % (746562)Termination phase: Saturation
% 0.71/0.44 % (746562)Time elapsed: 0.002 s
% 0.71/0.44 % (746562)Peak memory usage: 11 MB
% 0.71/0.44 % (746562)Instructions burned: 3 (million)
% 0.71/0.44 % (746563)------------------------------
% 0.71/0.44 % (746563)------------------------------
% 0.71/0.44 % (746560)Instruction limit reached!
% 0.71/0.44 % (746560)------------------------------
% 0.71/0.44 % (746560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (746560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (746560)CaDiCaL version: 2.1.3
% 0.71/0.44 % (746560)Termination reason: Instruction limit
% 0.71/0.44 % (746560)Termination phase: Saturation
% 0.71/0.44 % (746560)Time elapsed: 0.009 s
% 0.71/0.44 % (746560)Peak memory usage: 12 MB
% 0.71/0.44 % (746560)Instructions burned: 9 (million)
% 0.71/0.44 % (746565)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1981576405:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.71/0.44 % (746565)Refutation not found, incomplete strategy
% 0.71/0.44 % (746565)------------------------------
% 0.71/0.44 % (746565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (746565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (746565)CaDiCaL version: 2.1.3
% 0.71/0.44 % (746565)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.44 % (746565)Time elapsed: 0.0000 s
% 0.71/0.44 % (746565)Peak memory usage: 11 MB
% 0.71/0.44 % (746565)Instructions burned: 1 (million)
% 0.71/0.44 % (746565)------------------------------
% 0.71/0.44 % (746565)------------------------------
% 0.71/0.44 % (746571)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2849740696:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.71/0.44 % (746571)Refutation not found, incomplete strategy
% 0.71/0.44 % (746571)------------------------------
% 0.71/0.44 % (746571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (746571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (746571)CaDiCaL version: 2.1.3
% 0.71/0.49 % (746571)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.49 % (746571)Time elapsed: 0.001 s
% 0.71/0.49 % (746569)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=143320554:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.71/0.49 % (746569)Refutation not found, incomplete strategy
% 0.71/0.49 % (746569)------------------------------
% 0.71/0.49 % (746569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (746569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (746569)CaDiCaL version: 2.1.3
% 0.71/0.49 % (746569)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.49 % (746569)Time elapsed: 0.0000 s
% 0.71/0.49 % (746569)Peak memory usage: 11 MB
% 0.71/0.49 % (746569)Instructions burned: 1 (million)
% 0.71/0.49 % (746569)------------------------------
% 0.71/0.49 % (746569)------------------------------
% 0.71/0.49 % (746572)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2379210496:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.71/0.49 % (746558)Instruction limit reached!
% 0.71/0.49 % (746558)------------------------------
% 0.71/0.49 % (746558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (746558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (746558)CaDiCaL version: 2.1.3
% 0.71/0.49 % (746558)Termination reason: Instruction limit
% 0.71/0.49 % (746558)Termination phase: Saturation
% 0.71/0.49 % (746558)Time elapsed: 0.042 s
% 0.71/0.49 % (746558)Peak memory usage: 12 MB
% 0.71/0.49 % (746558)Instructions burned: 88 (million)
% 0.71/0.49 % (746571)Peak memory usage: 11 MB
% 0.71/0.49 % (746571)Instructions burned: 1 (million)
% 0.71/0.49 % (746571)------------------------------
% 0.71/0.49 % (746571)------------------------------
% 0.71/0.49 % (746570)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3195279430:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.71/0.49 % (746572)Instruction limit reached!
% 0.71/0.49 % (746572)------------------------------
% 0.71/0.49 % (746572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (746572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (746572)CaDiCaL version: 2.1.3
% 0.71/0.49 % (746572)Termination reason: Instruction limit
% 0.71/0.49 % (746572)Termination phase: Saturation
% 0.71/0.49 % (746572)Time elapsed: 0.007 s
% 0.71/0.49 % (746572)Peak memory usage: 12 MB
% 0.71/0.49 % (746572)Instructions burned: 14 (million)
% 0.71/0.49 % (746578)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=895602828:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.71/0.49 % (746574)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1385718868:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.71/0.49 % (746570)Instruction limit reached!
% 0.71/0.49 % (746570)------------------------------
% 0.71/0.49 % (746570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (746570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (746570)CaDiCaL version: 2.1.3
% 0.71/0.49 % (746570)Termination reason: Instruction limit
% 0.71/0.49 % (746570)Termination phase: Saturation
% 0.71/0.49 % (746570)Time elapsed: 0.014 s
% 0.71/0.49 % (746570)Peak memory usage: 12 MB
% 0.71/0.49 % (746570)Instructions burned: 14 (million)
% 0.71/0.49 % (746578)Instruction limit reached!
% 0.71/0.49 % (746578)------------------------------
% 0.71/0.49 % (746578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.49 % (746578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.49 % (746578)CaDiCaL version: 2.1.3
% 0.71/0.49 % (746578)Termination reason: Instruction limit
% 0.71/0.49 % (746578)Termination phase: Saturation
% 0.71/0.49 % (746578)Time elapsed: 0.007 s
% 0.71/0.49 % (746578)Peak memory usage: 12 MB
% 0.71/0.49 % (746578)Instructions burned: 26 (million)
% 0.71/0.49 % (746574)Refutation not found, incomplete strategy
% 0.71/0.49 % (746574)------------------------------
% 0.71/0.49 % (746574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (746574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (746574)CaDiCaL version: 2.1.3
% 1.42/0.51 % (746574)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.51 % (746574)Time elapsed: 0.001 s
% 1.42/0.51 % (746574)Peak memory usage: 11 MB
% 1.42/0.51 % (746574)Instructions burned: 1 (million)
% 1.42/0.51 % (746574)------------------------------
% 1.42/0.51 % (746574)------------------------------
% 1.42/0.51 % (746579)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1338682144:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.42/0.51 % (746582)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
% 1.42/0.51 % (746582)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.42/0.51 % (746582)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=674470570:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.51 % (746585)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.42/0.51 % (746585)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=4231450445:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.42/0.51 % (746579)Instruction limit reached!
% 1.42/0.51 % (746579)------------------------------
% 1.42/0.51 % (746579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (746579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (746579)CaDiCaL version: 2.1.3
% 1.42/0.51 % (746579)Termination reason: Instruction limit
% 1.42/0.51 % (746579)Termination phase: Saturation
% 1.42/0.51 % (746579)Time elapsed: 0.011 s
% 1.42/0.51 % (746579)Peak memory usage: 11 MB
% 1.42/0.51 % (746579)Instructions burned: 23 (million)
% 1.42/0.51 % (746585)Instruction limit reached!
% 1.42/0.51 % (746585)------------------------------
% 1.42/0.51 % (746585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (746585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (746585)CaDiCaL version: 2.1.3
% 1.42/0.51 % (746585)Termination reason: Instruction limit
% 1.42/0.51 % (746585)Termination phase: Saturation
% 1.42/0.51 % (746585)Time elapsed: 0.003 s
% 1.42/0.51 % (746585)Peak memory usage: 12 MB
% 1.42/0.51 % (746585)Instructions burned: 11 (million)
% 1.42/0.51 % (746580)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=100684865:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.42/0.51 % (746582)Instruction limit reached!
% 1.42/0.51 % (746582)------------------------------
% 1.42/0.51 % (746582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (746582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (746582)CaDiCaL version: 2.1.3
% 1.42/0.51 % (746582)Termination reason: Instruction limit
% 1.42/0.51 % (746582)Termination phase: Saturation
% 1.42/0.51 % (746582)Time elapsed: 0.008 s
% 1.42/0.51 % (746582)Peak memory usage: 12 MB
% 1.42/0.51 % (746582)Instructions burned: 14 (million)
% 1.42/0.51 % (746588)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3320625688:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.42/0.51 % (746588)Instruction limit reached!
% 1.42/0.51 % (746588)------------------------------
% 1.42/0.51 % (746588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (746588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (746588)CaDiCaL version: 2.1.3
% 1.42/0.51 % (746588)Termination reason: Instruction limit
% 1.42/0.51 % (746588)Termination phase: Saturation
% 1.42/0.51 % (746588)Time elapsed: 0.004 s
% 1.42/0.51 % (746588)Peak memory usage: 12 MB
% 1.42/0.51 % (746588)Instructions burned: 8 (million)
% 1.42/0.51 % (746592)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1717239532:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.42/0.56 % (746591)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3305428598:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.42/0.56 % (746592)Instruction limit reached!
% 1.42/0.56 % (746592)------------------------------
% 1.42/0.56 % (746592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.56 % (746592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.56 % (746592)CaDiCaL version: 2.1.3
% 1.42/0.56 % (746592)Termination reason: Instruction limit
% 1.42/0.56 % (746592)Termination phase: Saturation
% 1.42/0.56 % (746592)Time elapsed: 0.007 s
% 1.42/0.56 % (746592)Peak memory usage: 12 MB
% 1.42/0.56 % (746592)Instructions burned: 21 (million)
% 1.42/0.56 % (746587)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=930067538:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.42/0.56 % (746591)Instruction limit reached!
% 1.42/0.56 % (746591)------------------------------
% 1.42/0.56 % (746591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.56 % (746591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.56 % (746591)CaDiCaL version: 2.1.3
% 1.42/0.56 % (746591)Termination reason: Instruction limit
% 1.42/0.56 % (746591)Termination phase: Saturation
% 1.42/0.56 % (746591)Time elapsed: 0.010 s
% 1.42/0.56 % (746591)Peak memory usage: 11 MB
% 1.42/0.56 % (746591)Instructions burned: 23 (million)
% 1.42/0.56 % (746600)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=703312984:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.42/0.56 % (746600)Refutation not found, incomplete strategy
% 1.42/0.56 % (746600)------------------------------
% 1.42/0.56 % (746600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.56 % (746600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.56 % (746600)CaDiCaL version: 2.1.3
% 1.42/0.56 % (746600)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.56 % (746600)Time elapsed: 0.0000 s
% 1.42/0.56 % (746600)Peak memory usage: 11 MB
% 1.42/0.56 % (746600)Instructions burned: 1 (million)
% 1.42/0.56 % (746600)------------------------------
% 1.42/0.56 % (746600)------------------------------
% 1.42/0.56 % (746597)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=950565272:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.42/0.56 % (746603)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.42/0.56 % (746594)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1859973493:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.42/0.56 % (746603)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3652052175:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.42/0.56 % (746603)Instruction limit reached!
% 1.42/0.56 % (746603)------------------------------
% 1.42/0.56 % (746603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.56 % (746603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.56 % (746603)CaDiCaL version: 2.1.3
% 1.42/0.56 % (746603)Termination reason: Instruction limit
% 1.42/0.56 % (746603)Termination phase: Saturation
% 1.42/0.56 % (746603)Time elapsed: 0.003 s
% 1.42/0.56 % (746603)Peak memory usage: 12 MB
% 1.42/0.56 % (746603)Instructions burned: 12 (million)
% 1.42/0.56 % (746601)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1149582801:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.42/0.56 % (746587)Instruction limit reached!
% 1.42/0.56 % (746587)------------------------------
% 1.42/0.56 % (746587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.56 % (746587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.56 % (746587)CaDiCaL version: 2.1.3
% 1.42/0.56 % (746587)Termination reason: Instruction limit
% 1.42/0.56 % (746587)Termination phase: Saturation
% 1.42/0.56 % (746587)Time elapsed: 0.031 s
% 1.42/0.56 % (746587)Peak memory usage: 12 MB
% 1.42/0.56 % (746587)Instructions burned: 35 (million)
% 1.42/0.56 % (746607)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1014408789:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.33/0.63 % (746607)Refutation not found, incomplete strategy
% 2.33/0.63 % (746607)------------------------------
% 2.33/0.63 % (746607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.63 % (746607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.63 % (746607)CaDiCaL version: 2.1.3
% 2.33/0.63 % (746607)Termination reason: Refutation not found, incomplete strategy
% 2.33/0.63 % (746607)Time elapsed: 0.0000 s
% 2.33/0.63 % (746607)Peak memory usage: 11 MB
% 2.33/0.63 % (746607)Instructions burned: 1 (million)
% 2.33/0.63 % (746580)Instruction limit reached!
% 2.33/0.63 % (746580)------------------------------
% 2.33/0.63 % (746580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.63 % (746607)------------------------------
% 2.33/0.63 % (746607)------------------------------
% 2.33/0.63 % (746580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.63 % (746580)CaDiCaL version: 2.1.3
% 2.33/0.63 % (746580)Termination reason: Instruction limit
% 2.33/0.63 % (746580)Termination phase: Saturation
% 2.33/0.63 % (746580)Time elapsed: 0.056 s
% 2.33/0.63 % (746580)Peak memory usage: 12 MB
% 2.33/0.63 % (746580)Instructions burned: 61 (million)
% 2.33/0.63 % (746601)Instruction limit reached!
% 2.33/0.63 % (746601)------------------------------
% 2.33/0.63 % (746601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.63 % (746601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.63 % (746601)CaDiCaL version: 2.1.3
% 2.33/0.63 % (746601)Termination reason: Instruction limit
% 2.33/0.63 % (746601)Termination phase: Saturation
% 2.33/0.63 % (746601)Time elapsed: 0.022 s
% 2.33/0.63 % (746601)Peak memory usage: 12 MB
% 2.33/0.63 % (746601)Instructions burned: 43 (million)
% 2.33/0.63 % (746609)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=701633553: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)
% 2.33/0.63 % (746612)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3695731639:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.33/0.63 % (746609)Refutation not found, incomplete strategy
% 2.33/0.63 % (746609)------------------------------
% 2.33/0.63 % (746609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.63 % (746609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.63 % (746609)CaDiCaL version: 2.1.3
% 2.33/0.63 % (746609)Termination reason: Refutation not found, incomplete strategy
% 2.33/0.63 % (746609)Time elapsed: 0.001 s
% 2.33/0.63 % (746609)Peak memory usage: 11 MB
% 2.33/0.63 % (746609)Instructions burned: 1 (million)
% 2.33/0.63 % (746609)------------------------------
% 2.33/0.63 % (746609)------------------------------
% 2.33/0.63 % (746611)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.33/0.63 % (746611)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1992562044:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.33/0.63 % (746611)Refutation not found, incomplete strategy
% 2.33/0.63 % (746611)------------------------------
% 2.33/0.63 % (746611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.63 % (746611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.63 % (746611)CaDiCaL version: 2.1.3
% 2.33/0.63 % (746611)Termination reason: Refutation not found, incomplete strategy
% 2.33/0.63 % (746611)Time elapsed: 0.001 s
% 2.33/0.63 % (746611)Peak memory usage: 11 MB
% 2.33/0.63 % (746611)Instructions burned: 2 (million)
% 2.33/0.63 % (746612)Instruction limit reached!
% 2.33/0.63 % (746612)------------------------------
% 2.33/0.63 % (746612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.63 % (746612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.63 % (746612)CaDiCaL version: 2.1.3
% 2.33/0.63 % (746612)Termination reason: Instruction limit
% 2.33/0.63 % (746612)Termination phase: Saturation
% 2.33/0.63 % (746612)Time elapsed: 0.009 s
% 2.33/0.63 % (746612)Peak memory usage: 12 MB
% 2.64/0.68 % (746612)Instructions burned: 22 (million)
% 2.64/0.68 % (746611)------------------------------
% 2.64/0.68 % (746611)------------------------------
% 2.64/0.68 % (746616)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=1286388748:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.64/0.68 % (746597)Instruction limit reached!
% 2.64/0.68 % (746597)------------------------------
% 2.64/0.68 % (746597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.68 % (746597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.68 % (746597)CaDiCaL version: 2.1.3
% 2.64/0.68 % (746597)Termination reason: Instruction limit
% 2.64/0.68 % (746597)Termination phase: Saturation
% 2.64/0.68 % (746597)Time elapsed: 0.059 s
% 2.64/0.68 % (746597)Peak memory usage: 12 MB
% 2.64/0.68 % (746597)Instructions burned: 145 (million)
% 2.64/0.68 % (746613)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4036529905:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.64/0.68 % (746613)Refutation not found, incomplete strategy
% 2.64/0.68 % (746613)------------------------------
% 2.64/0.68 % (746613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.68 % (746613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.68 % (746613)CaDiCaL version: 2.1.3
% 2.64/0.68 % (746613)Termination reason: Refutation not found, incomplete strategy
% 2.64/0.68 % (746613)Time elapsed: 0.006 s
% 2.64/0.68 % (746613)Peak memory usage: 12 MB
% 2.64/0.68 % (746613)Instructions burned: 3 (million)
% 2.64/0.68 % (746613)------------------------------
% 2.64/0.68 % (746613)------------------------------
% 2.64/0.68 % (746619)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=2159661486:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.64/0.68 % (746621)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4084318151:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.64/0.68 % (746618)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=787321716:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.64/0.68 % (746623)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1384208574:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.64/0.68 % (746621)Refutation not found, incomplete strategy
% 2.64/0.68 % (746621)------------------------------
% 2.64/0.68 % (746621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.68 % (746621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.68 % (746621)CaDiCaL version: 2.1.3
% 2.64/0.68 % (746621)Termination reason: Refutation not found, incomplete strategy
% 2.64/0.68 % (746621)Time elapsed: 0.001 s
% 2.64/0.68 % (746621)Peak memory usage: 12 MB
% 2.64/0.68 % (746621)Instructions burned: 2 (million)
% 2.64/0.68 % (746621)------------------------------
% 2.64/0.68 % (746621)------------------------------
% 2.64/0.68 % (746623)Instruction limit reached!
% 2.64/0.68 % (746623)------------------------------
% 2.64/0.68 % (746623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.68 % (746623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.68 % (746623)CaDiCaL version: 2.1.3
% 2.64/0.68 % (746623)Termination reason: Instruction limit
% 2.64/0.68 % (746623)Termination phase: Saturation
% 2.64/0.68 % (746623)Time elapsed: 0.006 s
% 2.64/0.68 % (746623)Peak memory usage: 12 MB
% 2.64/0.68 % (746623)Instructions burned: 23 (million)
% 2.64/0.68 % (746629)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=373170367:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.64/0.68 % (746628)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.64/0.68 % (746628)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1763918843:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.83/0.72 % (746619)Instruction limit reached!
% 2.83/0.72 % (746619)------------------------------
% 2.83/0.72 % (746619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.72 % (746619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.72 % (746619)CaDiCaL version: 2.1.3
% 2.83/0.72 % (746619)Termination reason: Instruction limit
% 2.83/0.72 % (746619)Termination phase: Saturation
% 2.83/0.72 % (746619)Time elapsed: 0.030 s
% 2.83/0.72 % (746619)Peak memory usage: 12 MB
% 2.83/0.72 % (746619)Instructions burned: 46 (million)
% 2.83/0.72 % (746629)Instruction limit reached!
% 2.83/0.72 % (746629)------------------------------
% 2.83/0.72 % (746629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.72 % (746629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.72 % (746629)CaDiCaL version: 2.1.3
% 2.83/0.72 % (746629)Termination reason: Instruction limit
% 2.83/0.72 % (746629)Termination phase: Saturation
% 2.83/0.72 % (746629)Time elapsed: 0.005 s
% 2.83/0.72 % (746629)Peak memory usage: 12 MB
% 2.83/0.72 % (746629)Instructions burned: 16 (million)
% 2.83/0.72 % (746632)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=552568837:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.83/0.72 % (746539)Instruction limit reached!
% 2.83/0.72 % (746539)------------------------------
% 2.83/0.72 % (746539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.72 % (746539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.72 % (746539)CaDiCaL version: 2.1.3
% 2.83/0.72 % (746539)Termination reason: Instruction limit
% 2.83/0.72 % (746539)Termination phase: Saturation
% 2.83/0.72 % (746539)Time elapsed: 0.282 s
% 2.83/0.72 % (746539)Peak memory usage: 13 MB
% 2.83/0.72 % (746539)Instructions burned: 636 (million)
% 2.83/0.72 % (746632)Instruction limit reached!
% 2.83/0.72 % (746632)------------------------------
% 2.83/0.72 % (746632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.72 % (746632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.72 % (746632)CaDiCaL version: 2.1.3
% 2.83/0.72 % (746632)Termination reason: Instruction limit
% 2.83/0.72 % (746632)Termination phase: Saturation
% 2.83/0.72 % (746632)Time elapsed: 0.015 s
% 2.83/0.72 % (746632)Peak memory usage: 12 MB
% 2.83/0.72 % (746632)Instructions burned: 66 (million)
% 2.83/0.72 % (746635)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4162142231:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.83/0.72 % (746636)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4185782011:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.83/0.72 % (746633)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4145076195:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.83/0.72 % (746633)Refutation not found, incomplete strategy
% 2.83/0.72 % (746633)------------------------------
% 2.83/0.72 % (746633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.72 % (746633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.72 % (746633)CaDiCaL version: 2.1.3
% 2.83/0.72 % (746633)Termination reason: Refutation not found, incomplete strategy
% 2.83/0.72 % (746633)Time elapsed: 0.003 s
% 2.83/0.72 % (746633)Peak memory usage: 12 MB
% 2.83/0.72 % (746633)Instructions burned: 2 (million)
% 2.83/0.72 % (746635)Instruction limit reached!
% 2.83/0.72 % (746635)------------------------------
% 2.83/0.72 % (746635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.72 % (746635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.72 % (746635)CaDiCaL version: 2.1.3
% 2.83/0.72 % (746635)Termination reason: Instruction limit
% 2.83/0.72 % (746635)Termination phase: Saturation
% 2.83/0.72 % (746635)Time elapsed: 0.016 s
% 2.83/0.72 % (746635)Peak memory usage: 12 MB
% 2.83/0.72 % (746635)Instructions burned: 31 (million)
% 2.83/0.72 % (746633)------------------------------
% 2.83/0.72 % (746633)------------------------------
% 2.83/0.72 % (746636)Instruction limit reached!
% 2.83/0.72 % (746636)------------------------------
% 2.83/0.72 % (746636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.75 % (746636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.75 % (746636)CaDiCaL version: 2.1.3
% 2.83/0.75 % (746636)Termination reason: Instruction limit
% 2.83/0.75 % (746636)Termination phase: Saturation
% 2.83/0.75 % (746636)Time elapsed: 0.032 s
% 2.83/0.75 % (746636)Peak memory usage: 13 MB
% 2.83/0.75 % (746636)Instructions burned: 141 (million)
% 2.83/0.75 % (746628)Instruction limit reached!
% 2.83/0.75 % (746628)------------------------------
% 2.83/0.75 % (746628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.75 % (746628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.75 % (746628)CaDiCaL version: 2.1.3
% 2.83/0.75 % (746628)Termination reason: Instruction limit
% 2.83/0.75 % (746628)Termination phase: Saturation
% 2.83/0.75 % (746628)Time elapsed: 0.075 s
% 2.83/0.75 % (746628)Peak memory usage: 12 MB
% 2.83/0.75 % (746628)Instructions burned: 202 (million)
% 2.83/0.75 % (746642)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.83/0.75 % (746642)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3682293170:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.83/0.75 % (746640)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=4036643475:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.83/0.75 % (746641)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2459837619:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 2.83/0.75 % (746641)Refutation not found, incomplete strategy
% 2.83/0.75 % (746641)------------------------------
% 2.83/0.75 % (746641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.75 % (746641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.75 % (746641)CaDiCaL version: 2.1.3
% 2.83/0.75 % (746641)Termination reason: Refutation not found, incomplete strategy
% 2.83/0.75 % (746641)Time elapsed: 0.002 s
% 2.83/0.75 % (746641)Peak memory usage: 12 MB
% 2.83/0.75 % (746641)Instructions burned: 2 (million)
% 2.83/0.75 % (746641)------------------------------
% 2.83/0.75 % (746641)------------------------------
% 2.83/0.75 % (746643)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1630755308:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.83/0.75 % (746643)Refutation not found, incomplete strategy
% 2.83/0.75 % (746643)------------------------------
% 2.83/0.75 % (746643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.75 % (746643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.75 % (746643)CaDiCaL version: 2.1.3
% 2.83/0.75 % (746643)Termination reason: Refutation not found, incomplete strategy
% 2.83/0.75 % (746643)Time elapsed: 0.001 s
% 2.83/0.75 % (746643)Peak memory usage: 11 MB
% 2.83/0.75 % (746643)Instructions burned: 1 (million)
% 2.83/0.75 % (746643)------------------------------
% 2.83/0.75 % (746643)------------------------------
% 2.83/0.75 % (746640)Instruction limit reached!
% 2.83/0.75 % (746640)------------------------------
% 2.83/0.75 % (746640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.75 % (746640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.75 % (746640)CaDiCaL version: 2.1.3
% 2.83/0.75 % (746640)Termination reason: Instruction limit
% 2.83/0.75 % (746640)Termination phase: Saturation
% 2.83/0.75 % (746640)Time elapsed: 0.022 s
% 2.83/0.75 % (746640)Peak memory usage: 12 MB
% 2.83/0.75 % (746640)Instructions burned: 34 (million)
% 2.83/0.75 % (746648)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1582706581:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 2.83/0.75 % (746650)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2320351411:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 2.83/0.75 % (746650)Refutation not found, incomplete strategy
% 2.83/0.75 % (746650)------------------------------
% 2.83/0.75 % (746650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.75 % (746650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.75 % (746650)CaDiCaL version: 2.1.3
% 2.83/0.75 % (746650)Termination reason: Refutation not found, incomplete strategy
% 3.35/0.83 % (746650)Time elapsed: 0.001 s
% 3.35/0.83 % (746650)Peak memory usage: 11 MB
% 3.35/0.83 % (746650)Instructions burned: 1 (million)
% 3.35/0.83 % (746650)------------------------------
% 3.35/0.83 % (746650)------------------------------
% 3.35/0.83 % (746642)Instruction limit reached!
% 3.35/0.83 % (746642)------------------------------
% 3.35/0.83 % (746642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.83 % (746642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/0.83 % (746642)CaDiCaL version: 2.1.3
% 3.35/0.83 % (746642)Termination reason: Instruction limit
% 3.35/0.83 % (746642)Termination phase: Saturation
% 3.35/0.83 % (746642)Time elapsed: 0.043 s
% 3.35/0.83 % (746642)Peak memory usage: 12 MB
% 3.35/0.83 % (746642)Instructions burned: 181 (million)
% 3.35/0.83 % (746652)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1468577633:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.35/0.83 % (746652)Refutation not found, incomplete strategy
% 3.35/0.83 % (746652)------------------------------
% 3.35/0.83 % (746652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.83 % (746652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/0.83 % (746652)CaDiCaL version: 2.1.3
% 3.35/0.83 % (746652)Termination reason: Refutation not found, incomplete strategy
% 3.35/0.83 % (746652)Time elapsed: 0.001 s
% 3.35/0.83 % (746652)Peak memory usage: 11 MB
% 3.35/0.83 % (746652)Instructions burned: 1 (million)
% 3.35/0.83 % (746652)------------------------------
% 3.35/0.83 % (746652)------------------------------
% 3.35/0.83 % (746659)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1083687221:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.35/0.83 % (746659)Refutation not found, incomplete strategy
% 3.35/0.83 % (746659)------------------------------
% 3.35/0.83 % (746659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.83 % (746659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/0.83 % (746659)CaDiCaL version: 2.1.3
% 3.35/0.83 % (746659)Termination reason: Refutation not found, incomplete strategy
% 3.35/0.83 % (746659)Time elapsed: 0.0000 s
% 3.35/0.83 % (746659)Peak memory usage: 11 MB
% 3.35/0.83 % (746659)Instructions burned: 1 (million)
% 3.35/0.83 % (746659)------------------------------
% 3.35/0.83 % (746659)------------------------------
% 3.35/0.83 % (746658)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=320615224:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.35/0.83 % (746658)Refutation not found, incomplete strategy
% 3.35/0.83 % (746658)------------------------------
% 3.35/0.83 % (746658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.83 % (746658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/0.83 % (746658)CaDiCaL version: 2.1.3
% 3.35/0.83 % (746658)Termination reason: Refutation not found, incomplete strategy
% 3.35/0.83 % (746658)Time elapsed: 0.001 s
% 3.35/0.83 % (746658)Peak memory usage: 12 MB
% 3.35/0.83 % (746658)Instructions burned: 1 (million)
% 3.35/0.83 % (746658)------------------------------
% 3.35/0.83 % (746658)------------------------------
% 3.35/0.83 % (746663)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1526553968:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.35/0.83 % (746663)Refutation not found, incomplete strategy
% 3.35/0.83 % (746663)------------------------------
% 3.35/0.83 % (746663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.83 % (746663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/0.83 % (746663)CaDiCaL version: 2.1.3
% 3.35/0.83 % (746663)Termination reason: Refutation not found, incomplete strategy
% 3.35/0.83 % (746663)Time elapsed: 0.001 s
% 3.35/0.83 % (746663)Peak memory usage: 12 MB
% 3.35/0.83 % (746663)Instructions burned: 2 (million)
% 3.35/0.83 % (746663)------------------------------
% 3.35/0.83 % (746663)------------------------------
% 3.35/0.83 % (746661)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2177880129:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.35/0.83 % (746667)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2769197402:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.35/0.88 % (746665)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2031552549:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.35/0.88 % (746648)Instruction limit reached!
% 3.35/0.88 % (746648)------------------------------
% 3.35/0.88 % (746648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.88 % (746648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/0.88 % (746648)CaDiCaL version: 2.1.3
% 3.35/0.88 % (746648)Termination reason: Instruction limit
% 3.35/0.88 % (746648)Termination phase: Saturation
% 3.35/0.88 % (746648)Time elapsed: 0.046 s
% 3.35/0.88 % (746648)Peak memory usage: 12 MB
% 3.35/0.88 % (746648)Instructions burned: 98 (million)
% 3.35/0.88 % (746616)Instruction limit reached!
% 3.35/0.88 % (746616)------------------------------
% 3.35/0.88 % (746616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.88 % (746616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/0.88 % (746616)CaDiCaL version: 2.1.3
% 3.35/0.88 % (746616)Termination reason: Instruction limit
% 3.35/0.88 % (746616)Termination phase: Saturation
% 3.35/0.88 % (746616)Time elapsed: 0.212 s
% 3.35/0.88 % (746616)Peak memory usage: 13 MB
% 3.35/0.88 % (746616)Instructions burned: 317 (million)
% 3.35/0.88 % (746661)Instruction limit reached!
% 3.35/0.88 % (746661)------------------------------
% 3.35/0.88 % (746661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.88 % (746661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/0.88 % (746661)CaDiCaL version: 2.1.3
% 3.35/0.88 % (746661)Termination reason: Instruction limit
% 3.35/0.88 % (746661)Termination phase: Saturation
% 3.35/0.88 % (746661)Time elapsed: 0.023 s
% 3.35/0.88 % (746661)Peak memory usage: 12 MB
% 3.35/0.88 % (746661)Instructions burned: 44 (million)
% 3.35/0.88 % (746671)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=3092086085:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.35/0.88 % (746667)Instruction limit reached!
% 3.35/0.88 % (746667)------------------------------
% 3.35/0.88 % (746667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.88 % (746667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/0.88 % (746667)CaDiCaL version: 2.1.3
% 3.35/0.88 % (746667)Termination reason: Instruction limit
% 3.35/0.88 % (746667)Termination phase: Saturation
% 3.35/0.88 % (746667)Time elapsed: 0.022 s
% 3.35/0.88 % (746667)Peak memory usage: 12 MB
% 3.35/0.88 % (746667)Instructions burned: 98 (million)
% 3.35/0.88 % (746672)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=117938708:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.35/0.88 % (746675)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=4150744501:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.35/0.88 % (746673)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=3425001701:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.35/0.88 % (746675)Refutation not found, incomplete strategy
% 3.35/0.88 % (746675)------------------------------
% 3.35/0.88 % (746675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.88 % (746675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/0.88 % (746675)CaDiCaL version: 2.1.3
% 3.35/0.88 % (746675)Termination reason: Refutation not found, incomplete strategy
% 3.35/0.88 % (746675)Time elapsed: 0.0000 s
% 3.35/0.88 % (746675)Peak memory usage: 11 MB
% 3.35/0.88 % (746675)Instructions burned: 1 (million)
% 3.35/0.88 % (746675)------------------------------
% 3.35/0.88 % (746675)------------------------------
% 3.35/0.88 % (746673)Refutation not found, incomplete strategy
% 3.35/0.88 % (746673)------------------------------
% 3.35/0.88 % (746673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.35/0.88 % (746673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/0.94 % (746673)CaDiCaL version: 2.1.3
% 4.06/0.94 % (746673)Termination reason: Refutation not found, incomplete strategy
% 4.06/0.94 % (746673)Time elapsed: 0.001 s
% 4.06/0.94 % (746673)Peak memory usage: 12 MB
% 4.06/0.94 % (746673)Instructions burned: 1 (million)
% 4.06/0.94 % (746673)------------------------------
% 4.06/0.94 % (746673)------------------------------
% 4.06/0.94 % (746679)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3323273681:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 4.06/0.94 % (746671)Instruction limit reached!
% 4.06/0.94 % (746671)------------------------------
% 4.06/0.94 % (746671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.06/0.94 % (746671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/0.94 % (746671)CaDiCaL version: 2.1.3
% 4.06/0.94 % (746671)Termination reason: Instruction limit
% 4.06/0.94 % (746671)Termination phase: Saturation
% 4.06/0.94 % (746671)Time elapsed: 0.031 s
% 4.06/0.94 % (746671)Peak memory usage: 12 MB
% 4.06/0.94 % (746671)Instructions burned: 66 (million)
% 4.06/0.94 % (746680)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=1153672132:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 4.06/0.94 % (746682)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2227714296:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 4.06/0.94 % (746680)Instruction limit reached!
% 4.06/0.94 % (746680)------------------------------
% 4.06/0.94 % (746680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.06/0.94 % (746680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/0.94 % (746680)CaDiCaL version: 2.1.3
% 4.06/0.94 % (746680)Termination reason: Instruction limit
% 4.06/0.94 % (746680)Termination phase: Saturation
% 4.06/0.94 % (746680)Time elapsed: 0.028 s
% 4.06/0.94 % (746680)Peak memory usage: 12 MB
% 4.06/0.94 % (746680)Instructions burned: 34 (million)
% 4.06/0.94 % (746672)Instruction limit reached!
% 4.06/0.94 % (746672)------------------------------
% 4.06/0.94 % (746672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.06/0.94 % (746672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/0.94 % (746672)CaDiCaL version: 2.1.3
% 4.06/0.94 % (746672)Termination reason: Instruction limit
% 4.06/0.94 % (746672)Termination phase: Saturation
% 4.06/0.94 % (746672)Time elapsed: 0.055 s
% 4.06/0.94 % (746672)Peak memory usage: 12 MB
% 4.06/0.94 % (746672)Instructions burned: 106 (million)
% 4.06/0.94 % (746618)Instruction limit reached!
% 4.06/0.94 % (746618)------------------------------
% 4.06/0.94 % (746618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.06/0.94 % (746618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/0.94 % (746618)CaDiCaL version: 2.1.3
% 4.06/0.94 % (746618)Termination reason: Instruction limit
% 4.06/0.94 % (746618)Termination phase: Saturation
% 4.06/0.94 % (746618)Time elapsed: 0.272 s
% 4.06/0.94 % (746618)Peak memory usage: 13 MB
% 4.06/0.94 % (746618)Instructions burned: 854 (million)
% 4.06/0.94 % (746686)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3281319510:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 4.06/0.94 % (746687)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=1441390616:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 4.06/0.94 % (746685)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2549920034:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.06/0.94 % (746685)Refutation not found, incomplete strategy
% 4.06/0.94 % (746685)------------------------------
% 4.06/0.94 % (746685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.06/0.94 % (746685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/0.94 % (746685)CaDiCaL version: 2.1.3
% 4.06/0.94 % (746685)Termination reason: Refutation not found, incomplete strategy
% 4.06/0.94 % (746685)Time elapsed: 0.001 s
% 4.06/0.94 % (746685)Peak memory usage: 11 MB
% 4.06/0.94 % (746685)Instructions burned: 1 (million)
% 4.06/0.94 % (746686)Instruction limit reached!
% 5.19/1.03 % (746686)------------------------------
% 5.19/1.03 % (746686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.03 % (746686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.03 % (746686)CaDiCaL version: 2.1.3
% 5.19/1.03 % (746686)Termination reason: Instruction limit
% 5.19/1.03 % (746686)Termination phase: Saturation
% 5.19/1.03 % (746686)Time elapsed: 0.011 s
% 5.19/1.03 % (746686)Peak memory usage: 12 MB
% 5.19/1.03 % (746686)Instructions burned: 22 (million)
% 5.19/1.03 % (746685)------------------------------
% 5.19/1.03 % (746685)------------------------------
% 5.19/1.03 % (746682)Instruction limit reached!
% 5.19/1.03 % (746682)------------------------------
% 5.19/1.03 % (746682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.03 % (746682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.03 % (746682)CaDiCaL version: 2.1.3
% 5.19/1.03 % (746682)Termination reason: Instruction limit
% 5.19/1.03 % (746682)Termination phase: Saturation
% 5.19/1.03 % (746682)Time elapsed: 0.050 s
% 5.19/1.03 % (746682)Peak memory usage: 12 MB
% 5.19/1.03 % (746682)Instructions burned: 94 (million)
% 5.19/1.03 % (746692)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.19/1.03 % (746691)lrs+10_1_sil=128000:si=on:urr=on:random_seed=212725699:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 5.19/1.03 % (746692)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=4070865333:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.19/1.03 % (746691)Refutation not found, incomplete strategy
% 5.19/1.03 % (746691)------------------------------
% 5.19/1.03 % (746691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.03 % (746691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.03 % (746691)CaDiCaL version: 2.1.3
% 5.19/1.03 % (746691)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.03 % (746691)Time elapsed: 0.001 s
% 5.19/1.03 % (746691)Peak memory usage: 12 MB
% 5.19/1.03 % (746691)Instructions burned: 1 (million)
% 5.19/1.03 % (746691)------------------------------
% 5.19/1.03 % (746691)------------------------------
% 5.19/1.03 % (746693)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=3414722589:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 5.19/1.03 % (746696)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3021031421:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 5.19/1.03 % (746696)Refutation not found, incomplete strategy
% 5.19/1.03 % (746696)------------------------------
% 5.19/1.03 % (746696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.03 % (746696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.03 % (746696)CaDiCaL version: 2.1.3
% 5.19/1.03 % (746696)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.03 % (746696)Time elapsed: 0.001 s
% 5.19/1.03 % (746696)Peak memory usage: 11 MB
% 5.19/1.03 % (746696)Instructions burned: 1 (million)
% 5.19/1.03 % (746696)------------------------------
% 5.19/1.03 % (746696)------------------------------
% 5.19/1.03 % (746679)Instruction limit reached!
% 5.19/1.03 % (746679)------------------------------
% 5.19/1.03 % (746679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.03 % (746679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.03 % (746679)CaDiCaL version: 2.1.3
% 5.19/1.03 % (746679)Termination reason: Instruction limit
% 5.19/1.03 % (746679)Termination phase: Saturation
% 5.19/1.03 % (746679)Time elapsed: 0.116 s
% 5.19/1.03 % (746679)Peak memory usage: 13 MB
% 5.19/1.03 % (746679)Instructions burned: 497 (million)
% 5.19/1.03 % (746665)Instruction limit reached!
% 5.19/1.03 % (746665)------------------------------
% 5.19/1.03 % (746665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.03 % (746665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.03 % (746665)CaDiCaL version: 2.1.3
% 5.19/1.03 % (746665)Termination reason: Instruction limit
% 5.19/1.03 % (746665)Termination phase: Saturation
% 5.19/1.03 % (746665)Time elapsed: 0.162 s
% 5.19/1.07 % (746665)Peak memory usage: 12 MB
% 5.19/1.07 % (746665)Instructions burned: 450 (million)
% 5.19/1.07 % (746700)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1492697260:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 5.19/1.07 % (746699)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.19/1.07 % (746699)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1497574402:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 5.19/1.07 % (746701)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3302467455:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 5.19/1.07 % (746701)Refutation not found, incomplete strategy
% 5.19/1.07 % (746701)------------------------------
% 5.19/1.07 % (746701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.07 % (746701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.07 % (746701)CaDiCaL version: 2.1.3
% 5.19/1.07 % (746701)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.07 % (746701)Time elapsed: 0.002 s
% 5.19/1.07 % (746701)Peak memory usage: 12 MB
% 5.19/1.07 % (746701)Instructions burned: 2 (million)
% 5.19/1.07 % (746701)------------------------------
% 5.19/1.07 % (746701)------------------------------
% 5.19/1.07 % (746692)Instruction limit reached!
% 5.19/1.07 % (746692)------------------------------
% 5.19/1.07 % (746692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.07 % (746692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.07 % (746692)CaDiCaL version: 2.1.3
% 5.19/1.07 % (746692)Termination reason: Instruction limit
% 5.19/1.07 % (746692)Termination phase: Saturation
% 5.19/1.07 % (746692)Time elapsed: 0.059 s
% 5.19/1.07 % (746692)Peak memory usage: 12 MB
% 5.19/1.07 % (746692)Instructions burned: 138 (million)
% 5.19/1.07 % (746700)Instruction limit reached!
% 5.19/1.07 % (746700)------------------------------
% 5.19/1.07 % (746700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.07 % (746700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.07 % (746700)CaDiCaL version: 2.1.3
% 5.19/1.07 % (746700)Termination reason: Instruction limit
% 5.19/1.07 % (746700)Termination phase: Saturation
% 5.19/1.07 % (746700)Time elapsed: 0.025 s
% 5.19/1.07 % (746700)Peak memory usage: 12 MB
% 5.19/1.07 % (746700)Instructions burned: 116 (million)
% 5.19/1.07 % (746705)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=396482419:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.19/1.07 % (746707)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3771209465:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.19/1.07 % (746707)Refutation not found, incomplete strategy
% 5.19/1.07 % (746707)------------------------------
% 5.19/1.07 % (746707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.07 % (746707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.07 % (746707)CaDiCaL version: 2.1.3
% 5.19/1.07 % (746707)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.07 % (746707)Time elapsed: 0.0000 s
% 5.19/1.07 % (746707)Peak memory usage: 11 MB
% 5.19/1.07 % (746707)Instructions burned: 1 (million)
% 5.19/1.07 % (746707)------------------------------
% 5.19/1.07 % (746707)------------------------------
% 5.19/1.07 % (746706)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=2097909593:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/9840Mi)
% 5.19/1.07 % (746710)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.19/1.07 % (746710)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=425380723:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.19/1.10 % (746687)Instruction limit reached!
% 5.19/1.10 % (746687)------------------------------
% 5.19/1.10 % (746687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.10 % (746687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.10 % (746687)CaDiCaL version: 2.1.3
% 5.19/1.10 % (746687)Termination reason: Instruction limit
% 5.19/1.10 % (746687)Termination phase: Saturation
% 5.19/1.10 % (746687)Time elapsed: 0.148 s
% 5.19/1.10 % (746687)Peak memory usage: 14 MB
% 5.19/1.10 % (746687)Instructions burned: 339 (million)
% 5.19/1.10 % (746710)Instruction limit reached!
% 5.19/1.10 % (746710)------------------------------
% 5.19/1.10 % (746710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.10 % (746710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.10 % (746710)CaDiCaL version: 2.1.3
% 5.19/1.10 % (746710)Termination reason: Instruction limit
% 5.19/1.10 % (746710)Termination phase: Saturation
% 5.19/1.10 % (746710)Time elapsed: 0.057 s
% 5.19/1.10 % (746710)Peak memory usage: 12 MB
% 5.19/1.10 % (746710)Instructions burned: 275 (million)
% 5.19/1.10 % (746726)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3230494554:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 5.19/1.10 % (746734)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.19/1.10 % (746734)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.19/1.10 % (746734)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=3653449061:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 5.19/1.10 % (746693)Instruction limit reached!
% 5.19/1.10 % (746693)------------------------------
% 5.19/1.10 % (746693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.10 % (746693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.10 % (746693)CaDiCaL version: 2.1.3
% 5.19/1.10 % (746693)Termination reason: Instruction limit
% 5.19/1.10 % (746693)Termination phase: Saturation
% 5.19/1.10 % (746693)Time elapsed: 0.149 s
% 5.19/1.10 % (746693)Peak memory usage: 13 MB
% 5.19/1.10 % (746693)Instructions burned: 342 (million)
% 5.19/1.10 % (746726)Instruction limit reached!
% 5.19/1.10 % (746726)------------------------------
% 5.19/1.10 % (746726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.10 % (746726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.10 % (746726)CaDiCaL version: 2.1.3
% 5.19/1.10 % (746726)Termination reason: Instruction limit
% 5.19/1.10 % (746726)Termination phase: Saturation
% 5.19/1.10 % (746726)Time elapsed: 0.016 s
% 5.19/1.10 % (746726)Peak memory usage: 12 MB
% 5.19/1.10 % (746726)Instructions burned: 32 (million)
% 5.19/1.10 % (746594)Instruction limit reached!
% 5.19/1.10 % (746594)------------------------------
% 5.19/1.10 % (746594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.10 % (746594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.10 % (746594)CaDiCaL version: 2.1.3
% 5.19/1.10 % (746594)Termination reason: Instruction limit
% 5.19/1.10 % (746594)Termination phase: Saturation
% 5.19/1.10 % (746594)Time elapsed: 0.551 s
% 5.19/1.10 % (746594)Peak memory usage: 13 MB
% 5.19/1.10 % (746594)Instructions burned: 1241 (million)
% 5.19/1.10 % (746740)dis+10_2_sil=128000:si=on:random_seed=222795910:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 5.19/1.10 % (746740)Refutation not found, incomplete strategy
% 5.19/1.10 % (746740)------------------------------
% 5.19/1.10 % (746740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.10 % (746740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.10 % (746740)CaDiCaL version: 2.1.3
% 5.19/1.10 % (746740)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.10 % (746740)Time elapsed: 0.001 s
% 5.19/1.10 % (746740)Peak memory usage: 11 MB
% 5.19/1.10 % (746740)Instructions burned: 1 (million)
% 5.19/1.10 % (746740)------------------------------
% 5.19/1.10 % (746740)------------------------------
% 5.19/1.10 % (746744)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2404901236:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 6.05/1.22 % (746747)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=3669130645:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 6.05/1.22 % (746747)Refutation not found, incomplete strategy
% 6.05/1.22 % (746747)------------------------------
% 6.05/1.22 % (746747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.22 % (746747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.22 % (746747)CaDiCaL version: 2.1.3
% 6.05/1.22 % (746747)Termination reason: Refutation not found, incomplete strategy
% 6.05/1.22 % (746747)Time elapsed: 0.001 s
% 6.05/1.22 % (746747)Peak memory usage: 12 MB
% 6.05/1.22 % (746747)Instructions burned: 1 (million)
% 6.05/1.22 % (746705)Instruction limit reached!
% 6.05/1.22 % (746705)------------------------------
% 6.05/1.22 % (746705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.22 % (746705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.22 % (746705)CaDiCaL version: 2.1.3
% 6.05/1.22 % (746705)Termination reason: Instruction limit
% 6.05/1.22 % (746705)Termination phase: Saturation
% 6.05/1.22 % (746705)Time elapsed: 0.119 s
% 6.05/1.22 % (746705)Peak memory usage: 12 MB
% 6.05/1.22 % (746705)Instructions burned: 272 (million)
% 6.05/1.22 % (746747)------------------------------
% 6.05/1.22 % (746747)------------------------------
% 6.05/1.22 % (746756)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=3136885896:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 6.05/1.22 % (746756)Refutation not found, incomplete strategy
% 6.05/1.22 % (746756)------------------------------
% 6.05/1.22 % (746756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.22 % (746756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.22 % (746756)CaDiCaL version: 2.1.3
% 6.05/1.22 % (746756)Termination reason: Refutation not found, incomplete strategy
% 6.05/1.22 % (746756)Time elapsed: 0.002 s
% 6.05/1.22 % (746756)Peak memory usage: 12 MB
% 6.05/1.22 % (746756)Instructions burned: 2 (million)
% 6.05/1.22 % (746756)------------------------------
% 6.05/1.22 % (746756)------------------------------
% 6.05/1.22 % (746763)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3385727633:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.05/1.22 % (746764)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=1706581665:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.05/1.22 % (746763)Refutation not found, incomplete strategy
% 6.05/1.22 % (746763)------------------------------
% 6.05/1.22 % (746763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.22 % (746763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.22 % (746763)CaDiCaL version: 2.1.3
% 6.05/1.22 % (746763)Termination reason: Refutation not found, incomplete strategy
% 6.05/1.22 % (746763)Time elapsed: 0.001 s
% 6.05/1.22 % (746763)Peak memory usage: 11 MB
% 6.05/1.22 % (746763)Instructions burned: 1 (million)
% 6.05/1.22 % (746763)------------------------------
% 6.05/1.22 % (746763)------------------------------
% 6.05/1.22 % (746764)Refutation not found, incomplete strategy
% 6.05/1.22 % (746764)------------------------------
% 6.05/1.22 % (746764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.22 % (746764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.22 % (746764)CaDiCaL version: 2.1.3
% 6.05/1.22 % (746764)Termination reason: Refutation not found, incomplete strategy
% 6.05/1.22 % (746764)Time elapsed: 0.002 s
% 6.05/1.22 % (746764)Peak memory usage: 11 MB
% 6.05/1.22 % (746764)Instructions burned: 3 (million)
% 6.05/1.22 % (746764)------------------------------
% 6.05/1.22 % (746764)------------------------------
% 6.05/1.22 % (746766)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.05/1.22 % (746766)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=513137383:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 6.05/1.28 % (746699)Instruction limit reached!
% 6.05/1.28 % (746699)------------------------------
% 6.05/1.28 % (746699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.28 % (746699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.28 % (746699)CaDiCaL version: 2.1.3
% 6.05/1.28 % (746699)Termination reason: Instruction limit
% 6.05/1.28 % (746699)Termination phase: Saturation
% 6.05/1.28 % (746699)Time elapsed: 0.178 s
% 6.05/1.28 % (746699)Peak memory usage: 12 MB
% 6.05/1.28 % (746699)Instructions burned: 375 (million)
% 6.05/1.28 % (746771)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1581401690:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 6.05/1.28 % (746773)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=2676411659:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/865Mi)
% 6.05/1.28 % (746771)Refutation not found, incomplete strategy
% 6.05/1.28 % (746771)------------------------------
% 6.05/1.28 % (746771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.28 % (746771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.28 % (746771)CaDiCaL version: 2.1.3
% 6.05/1.28 % (746771)Termination reason: Refutation not found, incomplete strategy
% 6.05/1.28 % (746771)Time elapsed: 0.002 s
% 6.05/1.28 % (746771)Peak memory usage: 12 MB
% 6.05/1.28 % (746771)Instructions burned: 3 (million)
% 6.05/1.28 % (746771)------------------------------
% 6.05/1.28 % (746771)------------------------------
% 6.05/1.28 % (746744)Instruction limit reached!
% 6.05/1.28 % (746744)------------------------------
% 6.05/1.28 % (746744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.28 % (746744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.28 % (746744)CaDiCaL version: 2.1.3
% 6.05/1.28 % (746744)Termination reason: Instruction limit
% 6.05/1.28 % (746744)Termination phase: Saturation
% 6.05/1.28 % (746744)Time elapsed: 0.052 s
% 6.05/1.28 % (746744)Peak memory usage: 12 MB
% 6.05/1.28 % (746744)Instructions burned: 111 (million)
% 6.05/1.28 % (746778)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1801896714:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/212Mi)
% 6.05/1.28 % (746778)Refutation not found, incomplete strategy
% 6.05/1.28 % (746778)------------------------------
% 6.05/1.28 % (746778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.28 % (746778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.28 % (746778)CaDiCaL version: 2.1.3
% 6.05/1.28 % (746778)Termination reason: Refutation not found, incomplete strategy
% 6.05/1.28 % (746778)Time elapsed: 0.001 s
% 6.05/1.28 % (746778)Peak memory usage: 11 MB
% 6.05/1.28 % (746778)Instructions burned: 1 (million)
% 6.05/1.28 % (746778)------------------------------
% 6.05/1.28 % (746778)------------------------------
% 6.05/1.28 % (746783)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=4024238326:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 6.05/1.28 % (746783)Refutation not found, incomplete strategy
% 6.05/1.28 % (746783)------------------------------
% 6.05/1.28 % (746783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.28 % (746783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.28 % (746783)CaDiCaL version: 2.1.3
% 6.05/1.28 % (746783)Termination reason: Refutation not found, incomplete strategy
% 6.05/1.28 % (746783)Time elapsed: 0.001 s
% 6.05/1.28 % (746783)Peak memory usage: 12 MB
% 6.05/1.28 % (746783)Instructions burned: 1 (million)
% 6.05/1.28 % (746786)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2060804876:st=1.5:i=346:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/346Mi)
% 6.05/1.28 % (746783)------------------------------
% 6.05/1.28 % (746783)------------------------------
% 6.05/1.28 % (746786)Refutation not found, incomplete strategy
% 6.05/1.28 % (746786)------------------------------
% 6.05/1.28 % (746786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.05/1.28 % (746786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.45 % (746786)CaDiCaL version: 2.1.3
% 6.97/1.45 % (746786)Termination reason: Refutation not found, incomplete strategy
% 6.97/1.45 % (746786)Time elapsed: 0.001 s
% 6.97/1.45 % (746786)Peak memory usage: 11 MB
% 6.97/1.45 % (746786)Instructions burned: 2 (million)
% 6.97/1.45 % (746786)------------------------------
% 6.97/1.45 % (746786)------------------------------
% 6.97/1.45 % (746792)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=197134713:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/152Mi)
% 6.97/1.45 % (746799)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3858106381:i=75:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/75Mi)
% 6.97/1.45 % (746801)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=34786213:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/387Mi)
% 6.97/1.45 % (746801)Refutation not found, incomplete strategy
% 6.97/1.45 % (746801)------------------------------
% 6.97/1.45 % (746801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.45 % (746801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.45 % (746801)CaDiCaL version: 2.1.3
% 6.97/1.45 % (746801)Termination reason: Refutation not found, incomplete strategy
% 6.97/1.45 % (746801)Time elapsed: 0.001 s
% 6.97/1.45 % (746801)Peak memory usage: 11 MB
% 6.97/1.45 % (746801)Instructions burned: 1 (million)
% 6.97/1.45 % (746801)------------------------------
% 6.97/1.45 % (746801)------------------------------
% 6.97/1.45 % (746814)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=485649667:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 6.97/1.45 % (746799)Instruction limit reached!
% 6.97/1.45 % (746799)------------------------------
% 6.97/1.45 % (746799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.45 % (746799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.45 % (746799)CaDiCaL version: 2.1.3
% 6.97/1.45 % (746799)Termination reason: Instruction limit
% 6.97/1.45 % (746799)Termination phase: Saturation
% 6.97/1.45 % (746799)Time elapsed: 0.036 s
% 6.97/1.45 % (746799)Peak memory usage: 12 MB
% 6.97/1.45 % (746799)Instructions burned: 77 (million)
% 6.97/1.45 % (746822)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1049474724:i=161:piset=and:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/161Mi)
% 6.97/1.45 % (746792)Instruction limit reached!
% 6.97/1.45 % (746792)------------------------------
% 6.97/1.45 % (746792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.45 % (746792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.45 % (746792)CaDiCaL version: 2.1.3
% 6.97/1.45 % (746792)Termination reason: Instruction limit
% 6.97/1.45 % (746792)Termination phase: Saturation
% 6.97/1.45 % (746792)Time elapsed: 0.074 s
% 6.97/1.45 % (746792)Peak memory usage: 12 MB
% 6.97/1.45 % (746792)Instructions burned: 154 (million)
% 6.97/1.45 % (746828)lrs+10_1_sil=128000:si=on:random_seed=2239685326:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/888Mi)
% 6.97/1.45 % (746828)Refutation not found, incomplete strategy
% 6.97/1.45 % (746828)------------------------------
% 6.97/1.45 % (746828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.45 % (746828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.45 % (746828)CaDiCaL version: 2.1.3
% 6.97/1.45 % (746828)Termination reason: Refutation not found, incomplete strategy
% 6.97/1.45 % (746828)Time elapsed: 0.001 s
% 6.97/1.45 % (746828)Peak memory usage: 12 MB
% 6.97/1.45 % (746828)Instructions burned: 1 (million)
% 6.97/1.45 % (746828)------------------------------
% 6.97/1.45 % (746828)------------------------------
% 6.97/1.45 % (746814)Instruction limit reached!
% 6.97/1.45 % (746814)------------------------------
% 6.97/1.45 % (746814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.97/1.45 % (746814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.45 % (746814)CaDiCaL version: 2.1.3
% 6.97/1.45 % (746814)Termination reason: Instruction limit
% 6.97/1.45 % (746814)Termination phase: Saturation
% 6.97/1.45 % (746814)Time elapsed: 0.064 s
% 6.97/1.45 % (746814)Peak memory usage: 12 MB
% 6.97/1.45 % (746814)Instructions burned: 149 (million)
% 6.97/1.45 % (746766)Instruction limit reached!
% 7.79/1.58 % (746766)------------------------------
% 7.79/1.58 % (746766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.58 % (746766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.58 % (746766)CaDiCaL version: 2.1.3
% 7.79/1.58 % (746766)Termination reason: Instruction limit
% 7.79/1.58 % (746766)Termination phase: Saturation
% 7.79/1.58 % (746766)Time elapsed: 0.147 s
% 7.79/1.58 % (746766)Peak memory usage: 13 MB
% 7.79/1.58 % (746766)Instructions burned: 281 (million)
% 7.79/1.58 % (746837)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=1127573835:i=136:add=on:ins=4:rtra=on:sup=off_2990 on theBenchmark for (2990ds/136Mi)
% 7.79/1.58 % (746838)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=1753713315:i=88:s2at=3:nm=2:rtra=on:rawr=on_2990 on theBenchmark for (2990ds/88Mi)
% 7.79/1.58 % (746837)Refutation not found, incomplete strategy
% 7.79/1.58 % (746837)------------------------------
% 7.79/1.58 % (746837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.58 % (746837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.58 % (746837)CaDiCaL version: 2.1.3
% 7.79/1.58 % (746837)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.58 % (746837)Time elapsed: 0.002 s
% 7.79/1.58 % (746837)Peak memory usage: 12 MB
% 7.79/1.58 % (746837)Instructions burned: 3 (million)
% 7.79/1.58 % (746837)------------------------------
% 7.79/1.58 % (746837)------------------------------
% 7.79/1.58 % (746822)Instruction limit reached!
% 7.79/1.58 % (746822)------------------------------
% 7.79/1.58 % (746822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.58 % (746822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.58 % (746822)CaDiCaL version: 2.1.3
% 7.79/1.58 % (746822)Termination reason: Instruction limit
% 7.79/1.58 % (746822)Termination phase: Saturation
% 7.79/1.58 % (746822)Time elapsed: 0.055 s
% 7.79/1.58 % (746822)Peak memory usage: 12 MB
% 7.79/1.58 % (746822)Instructions burned: 163 (million)
% 7.79/1.58 % (746842)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4200289918:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2990 on theBenchmark for (2990ds/93Mi)
% 7.79/1.58 % (746848)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3782819163:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 7.79/1.58 % (746849)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3269161331:s2a=on:i=240:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/240Mi)
% 7.79/1.58 % (746734)Instruction limit reached!
% 7.79/1.58 % (746734)------------------------------
% 7.79/1.58 % (746734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.58 % (746734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.58 % (746734)CaDiCaL version: 2.1.3
% 7.79/1.58 % (746734)Termination reason: Instruction limit
% 7.79/1.58 % (746734)Termination phase: Saturation
% 7.79/1.58 % (746734)Time elapsed: 0.264 s
% 7.79/1.58 % (746734)Peak memory usage: 13 MB
% 7.79/1.58 % (746734)Instructions burned: 1440 (million)
% 7.79/1.58 % (746838)Instruction limit reached!
% 7.79/1.58 % (746838)------------------------------
% 7.79/1.58 % (746838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.58 % (746838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.58 % (746838)CaDiCaL version: 2.1.3
% 7.79/1.58 % (746838)Termination reason: Instruction limit
% 7.79/1.58 % (746838)Termination phase: Saturation
% 7.79/1.58 % (746838)Time elapsed: 0.040 s
% 7.79/1.58 % (746838)Peak memory usage: 12 MB
% 7.79/1.58 % (746838)Instructions burned: 88 (million)
% 7.79/1.58 % (746859)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 7.79/1.58 % (746859)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=1006741791:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2989 on theBenchmark for (2989ds/391Mi)
% 7.79/1.58 % (746859)Refutation not found, incomplete strategy
% 7.79/1.58 % (746859)------------------------------
% 8.62/1.72 % (746859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.72 % (746859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.72 % (746859)CaDiCaL version: 2.1.3
% 8.62/1.72 % (746859)Termination reason: Refutation not found, incomplete strategy
% 8.62/1.72 % (746859)Time elapsed: 0.0000 s
% 8.62/1.72 % (746859)Peak memory usage: 11 MB
% 8.62/1.72 % (746859)Instructions burned: 2 (million)
% 8.62/1.72 % (746859)------------------------------
% 8.62/1.72 % (746859)------------------------------
% 8.62/1.72 % (746842)Instruction limit reached!
% 8.62/1.72 % (746842)------------------------------
% 8.62/1.72 % (746842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.72 % (746842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.72 % (746842)CaDiCaL version: 2.1.3
% 8.62/1.72 % (746842)Termination reason: Instruction limit
% 8.62/1.72 % (746842)Termination phase: Saturation
% 8.62/1.72 % (746842)Time elapsed: 0.046 s
% 8.62/1.72 % (746842)Peak memory usage: 13 MB
% 8.62/1.72 % (746842)Instructions burned: 93 (million)
% 8.62/1.72 % (746858)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2750548322:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/805Mi)
% 8.62/1.72 % (746862)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=413808383:i=355:av=off:fsr=off:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/355Mi)
% 8.62/1.72 % (746864)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=4145306738:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/314Mi)
% 8.62/1.72 % (746864)Refutation not found, incomplete strategy
% 8.62/1.72 % (746864)------------------------------
% 8.62/1.72 % (746864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.72 % (746864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.72 % (746864)CaDiCaL version: 2.1.3
% 8.62/1.72 % (746864)Termination reason: Refutation not found, incomplete strategy
% 8.62/1.72 % (746864)Time elapsed: 0.001 s
% 8.62/1.72 % (746864)Peak memory usage: 11 MB
% 8.62/1.72 % (746864)Instructions burned: 1 (million)
% 8.62/1.72 % (746864)------------------------------
% 8.62/1.72 % (746864)------------------------------
% 8.62/1.72 % (746870)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3662581049:s2a=on:i=251:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/251Mi)
% 8.62/1.72 % (746849)Instruction limit reached!
% 8.62/1.72 % (746849)------------------------------
% 8.62/1.72 % (746849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.72 % (746849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.72 % (746849)CaDiCaL version: 2.1.3
% 8.62/1.72 % (746849)Termination reason: Instruction limit
% 8.62/1.72 % (746849)Termination phase: Saturation
% 8.62/1.72 % (746849)Time elapsed: 0.095 s
% 8.62/1.72 % (746849)Peak memory usage: 12 MB
% 8.62/1.72 % (746849)Instructions burned: 242 (million)
% 8.62/1.72 % (746885)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=4088684720:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2988 on theBenchmark for (2988ds/2470Mi)
% 8.62/1.72 % (746870)Instruction limit reached!
% 8.62/1.72 % (746870)------------------------------
% 8.62/1.72 % (746870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.72 % (746870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.72 % (746870)CaDiCaL version: 2.1.3
% 8.62/1.72 % (746870)Termination reason: Instruction limit
% 8.62/1.72 % (746870)Termination phase: Saturation
% 8.62/1.72 % (746870)Time elapsed: 0.111 s
% 8.62/1.72 % (746870)Peak memory usage: 12 MB
% 8.62/1.72 % (746870)Instructions burned: 251 (million)
% 8.62/1.72 % (746862)Instruction limit reached!
% 8.62/1.72 % (746862)------------------------------
% 8.62/1.72 % (746862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.72 % (746862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.72 % (746862)CaDiCaL version: 2.1.3
% 8.62/1.72 % (746862)Termination reason: Instruction limit
% 8.62/1.72 % (746862)Termination phase: Saturation
% 8.62/1.72 % (746862)Time elapsed: 0.154 s
% 8.62/1.72 % (746862)Peak memory usage: 12 MB
% 8.62/1.77 % (746862)Instructions burned: 356 (million)
% 8.62/1.77 % (746925)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1748211256:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2988 on theBenchmark for (2988ds/673Mi)
% 8.62/1.77 % (746773)Instruction limit reached!
% 8.62/1.77 % (746773)------------------------------
% 8.62/1.77 % (746773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.77 % (746773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.77 % (746773)CaDiCaL version: 2.1.3
% 8.62/1.77 % (746773)Termination reason: Instruction limit
% 8.62/1.77 % (746773)Termination phase: Saturation
% 8.62/1.77 % (746773)Time elapsed: 0.387 s
% 8.62/1.77 % (746773)Peak memory usage: 15 MB
% 8.62/1.77 % (746773)Instructions burned: 865 (million)
% 8.62/1.77 % (746931)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2711064175:i=116:ep=RSTC:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/116Mi)
% 8.62/1.77 % (746933)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3292200632:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2987 on theBenchmark for (2987ds/270Mi)
% 8.62/1.77 % (746931)Instruction limit reached!
% 8.62/1.77 % (746931)------------------------------
% 8.62/1.77 % (746931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.77 % (746931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.77 % (746931)CaDiCaL version: 2.1.3
% 8.62/1.77 % (746931)Termination reason: Instruction limit
% 8.62/1.77 % (746931)Termination phase: Saturation
% 8.62/1.77 % (746931)Time elapsed: 0.049 s
% 8.62/1.77 % (746931)Peak memory usage: 12 MB
% 8.62/1.77 % (746931)Instructions burned: 118 (million)
% 8.62/1.77 % (746936)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=2714913829:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/30Mi)
% 8.62/1.77 % (746933)Instruction limit reached!
% 8.62/1.77 % (746933)------------------------------
% 8.62/1.77 % (746933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.77 % (746933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.77 % (746933)CaDiCaL version: 2.1.3
% 8.62/1.77 % (746933)Termination reason: Instruction limit
% 8.62/1.77 % (746933)Termination phase: Saturation
% 8.62/1.77 % (746933)Time elapsed: 0.063 s
% 8.62/1.77 % (746933)Peak memory usage: 12 MB
% 8.62/1.77 % (746933)Instructions burned: 271 (million)
% 8.62/1.77 % (746938)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 8.62/1.77 % (746938)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2837537673:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2987 on theBenchmark for (2987ds/39Mi)
% 8.62/1.77 % (746936)Instruction limit reached!
% 8.62/1.77 % (746936)------------------------------
% 8.62/1.77 % (746936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.77 % (746936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.77 % (746936)CaDiCaL version: 2.1.3
% 8.62/1.77 % (746936)Termination reason: Instruction limit
% 8.62/1.77 % (746936)Termination phase: Saturation
% 8.62/1.77 % (746936)Time elapsed: 0.015 s
% 8.62/1.77 % (746936)Peak memory usage: 12 MB
% 8.62/1.77 % (746936)Instructions burned: 31 (million)
% 8.62/1.77 % (746938)Instruction limit reached!
% 8.62/1.77 % (746938)------------------------------
% 8.62/1.77 % (746938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.62/1.77 % (746938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/1.77 % (746938)CaDiCaL version: 2.1.3
% 8.62/1.77 % (746938)Termination reason: Instruction limit
% 8.62/1.77 % (746938)Termination phase: Saturation
% 8.62/1.77 % (746938)Time elapsed: 0.012 s
% 8.62/1.77 % (746938)Peak memory usage: 12 MB
% 8.62/1.77 % (746938)Instructions burned: 42 (million)
% 8.62/1.77 % (746940)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4076024973:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/365Mi)
% 8.62/1.77 % (746941)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2422133724:i=158:av=off:rtra=on_2986 on theBenchmark for (2986ds/158Mi)
% 9.74/1.95 % (746858)Instruction limit reached!
% 9.74/1.95 % (746858)------------------------------
% 9.74/1.95 % (746858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/1.95 % (746858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/1.95 % (746858)CaDiCaL version: 2.1.3
% 9.74/1.95 % (746858)Termination reason: Instruction limit
% 9.74/1.95 % (746858)Termination phase: Saturation
% 9.74/1.95 % (746858)Time elapsed: 0.324 s
% 9.74/1.95 % (746858)Peak memory usage: 13 MB
% 9.74/1.95 % (746858)Instructions burned: 806 (million)
% 9.74/1.95 % (746941)Instruction limit reached!
% 9.74/1.95 % (746941)------------------------------
% 9.74/1.95 % (746941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/1.95 % (746941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/1.95 % (746941)CaDiCaL version: 2.1.3
% 9.74/1.95 % (746941)Termination reason: Instruction limit
% 9.74/1.95 % (746941)Termination phase: Saturation
% 9.74/1.95 % (746941)Time elapsed: 0.039 s
% 9.74/1.95 % (746941)Peak memory usage: 12 MB
% 9.74/1.95 % (746941)Instructions burned: 159 (million)
% 9.74/1.95 % (746945)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2480857141:i=213:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/213Mi)
% 9.74/1.95 % (746944)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 9.74/1.95 % (746945)Refutation not found, incomplete strategy
% 9.74/1.95 % (746945)------------------------------
% 9.74/1.95 % (746945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/1.95 % (746945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/1.95 % (746945)CaDiCaL version: 2.1.3
% 9.74/1.95 % (746945)Termination reason: Refutation not found, incomplete strategy
% 9.74/1.95 % (746945)Time elapsed: 0.0000 s
% 9.74/1.95 % (746945)Peak memory usage: 11 MB
% 9.74/1.95 % (746945)Instructions burned: 1 (million)
% 9.74/1.95 % (746945)------------------------------
% 9.74/1.95 % (746945)------------------------------
% 9.74/1.95 % (746944)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=2566357382:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/252Mi)
% 9.74/1.95 % (746947)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=313804236:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/160Mi)
% 9.74/1.95 % (746947)Refutation not found, incomplete strategy
% 9.74/1.95 % (746947)------------------------------
% 9.74/1.95 % (746947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/1.95 % (746947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/1.95 % (746947)CaDiCaL version: 2.1.3
% 9.74/1.95 % (746947)Termination reason: Refutation not found, incomplete strategy
% 9.74/1.95 % (746947)Time elapsed: 0.0000 s
% 9.74/1.95 % (746947)Peak memory usage: 11 MB
% 9.74/1.95 % (746947)Instructions burned: 1 (million)
% 9.74/1.95 % (746947)------------------------------
% 9.74/1.95 % (746947)------------------------------
% 9.74/1.95 % (746950)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2744841033:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/763Mi)
% 9.74/1.95 % (746940)Instruction limit reached!
% 9.74/1.95 % (746940)------------------------------
% 9.74/1.95 % (746940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/1.95 % (746940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/1.95 % (746940)CaDiCaL version: 2.1.3
% 9.74/1.95 % (746940)Termination reason: Instruction limit
% 9.74/1.95 % (746940)Termination phase: Saturation
% 9.74/1.95 % (746940)Time elapsed: 0.130 s
% 9.74/1.95 % (746940)Peak memory usage: 13 MB
% 9.74/1.95 % (746940)Instructions burned: 368 (million)
% 9.74/1.95 % (746952)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 9.74/1.95 % (746925)Instruction limit reached!
% 9.74/1.95 % (746925)------------------------------
% 9.74/1.95 % (746925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/2.02 % (746925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.02 % (746925)CaDiCaL version: 2.1.3
% 9.74/2.02 % (746925)Termination reason: Instruction limit
% 9.74/2.02 % (746925)Termination phase: Saturation
% 9.74/2.02 % (746925)Time elapsed: 0.265 s
% 9.74/2.02 % (746925)Peak memory usage: 12 MB
% 9.74/2.02 % (746925)Instructions burned: 674 (million)
% 9.74/2.02 % (746952)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=613177423:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2985 on theBenchmark for (2985ds/237Mi)
% 9.74/2.02 % (746952)Refutation not found, incomplete strategy
% 9.74/2.02 % (746952)------------------------------
% 9.74/2.02 % (746952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/2.02 % (746952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.02 % (746952)CaDiCaL version: 2.1.3
% 9.74/2.02 % (746952)Termination reason: Refutation not found, incomplete strategy
% 9.74/2.02 % (746952)Time elapsed: 0.001 s
% 9.74/2.02 % (746952)Peak memory usage: 11 MB
% 9.74/2.02 % (746952)Instructions burned: 1 (million)
% 9.74/2.02 % (746952)------------------------------
% 9.74/2.02 % (746952)------------------------------
% 9.74/2.02 % (746944)Instruction limit reached!
% 9.74/2.02 % (746944)------------------------------
% 9.74/2.02 % (746944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/2.02 % (746944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.02 % (746944)CaDiCaL version: 2.1.3
% 9.74/2.02 % (746944)Termination reason: Instruction limit
% 9.74/2.02 % (746944)Termination phase: Saturation
% 9.74/2.02 % (746944)Time elapsed: 0.100 s
% 9.74/2.02 % (746944)Peak memory usage: 12 MB
% 9.74/2.02 % (746944)Instructions burned: 253 (million)
% 9.74/2.02 % (746953)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2828409244:s2a=on:i=386:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/386Mi)
% 9.74/2.02 % (746955)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1915073916:i=300:piset=and:nm=32:rtra=on_2985 on theBenchmark for (2985ds/300Mi)
% 9.74/2.02 % (746956)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3725184016:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/567Mi)
% 9.74/2.02 % (746956)Refutation not found, incomplete strategy
% 9.74/2.02 % (746956)------------------------------
% 9.74/2.02 % (746956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/2.02 % (746956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.02 % (746956)CaDiCaL version: 2.1.3
% 9.74/2.02 % (746956)Termination reason: Refutation not found, incomplete strategy
% 9.74/2.02 % (746956)Time elapsed: 0.001 s
% 9.74/2.02 % (746956)Peak memory usage: 11 MB
% 9.74/2.02 % (746956)Instructions burned: 2 (million)
% 9.74/2.02 % (746956)------------------------------
% 9.74/2.02 % (746956)------------------------------
% 9.74/2.02 % (746960)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1605149175:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2984 on theBenchmark for (2984ds/379Mi)
% 9.74/2.02 % (746960)Refutation not found, incomplete strategy
% 9.74/2.02 % (746960)------------------------------
% 9.74/2.02 % (746960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/2.02 % (746960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.02 % (746960)CaDiCaL version: 2.1.3
% 9.74/2.02 % (746960)Termination reason: Refutation not found, incomplete strategy
% 9.74/2.02 % (746960)Time elapsed: 0.001 s
% 9.74/2.02 % (746960)Peak memory usage: 12 MB
% 9.74/2.02 % (746960)Instructions burned: 1 (million)
% 9.74/2.02 % (746950)Instruction limit reached!
% 9.74/2.02 % (746950)------------------------------
% 9.74/2.02 % (746950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.74/2.02 % (746950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.02 % (746950)CaDiCaL version: 2.1.3
% 9.74/2.02 % (746950)Termination reason: Instruction limit
% 9.74/2.02 % (746950)Termination phase: Saturation
% 9.74/2.02 % (746950)Time elapsed: 0.124 s
% 9.74/2.02 % (746950)Peak memory usage: 14 MB
% 9.74/2.02 % (746950)Instructions burned: 766 (million)
% 9.74/2.02 % (746960)------------------------------
% 9.74/2.02 % (746960)------------------------------
% 12.23/2.09 % (746963)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3266695302:i=478:bd=all:rtra=on_2984 on theBenchmark for (2984ds/478Mi)
% 12.23/2.09 % (746962)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2962603361:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2984 on theBenchmark for (2984ds/429Mi)
% 12.23/2.09 % (746963)Refutation not found, incomplete strategy
% 12.23/2.09 % (746963)------------------------------
% 12.23/2.09 % (746963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.23/2.09 % (746963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.09 % (746963)CaDiCaL version: 2.1.3
% 12.23/2.09 % (746963)Termination reason: Refutation not found, incomplete strategy
% 12.23/2.09 % (746963)Time elapsed: 0.002 s
% 12.23/2.09 % (746963)Peak memory usage: 12 MB
% 12.23/2.09 % (746963)Instructions burned: 2 (million)
% 12.23/2.09 % (746963)------------------------------
% 12.23/2.09 % (746963)------------------------------
% 12.23/2.09 % (746966)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4284870698:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2984 on theBenchmark for (2984ds/445Mi)
% 12.23/2.09 % (746955)Instruction limit reached!
% 12.23/2.09 % (746955)------------------------------
% 12.23/2.09 % (746955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.23/2.09 % (746955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.09 % (746955)CaDiCaL version: 2.1.3
% 12.23/2.09 % (746955)Termination reason: Instruction limit
% 12.23/2.09 % (746955)Termination phase: Saturation
% 12.23/2.09 % (746955)Time elapsed: 0.129 s
% 12.23/2.09 % (746955)Peak memory usage: 12 MB
% 12.23/2.09 % (746955)Instructions burned: 300 (million)
% 12.23/2.09 % (746968)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2090752700:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/71Mi)
% 12.23/2.09 % (746953)Instruction limit reached!
% 12.23/2.09 % (746953)------------------------------
% 12.23/2.09 % (746953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.23/2.09 % (746953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.09 % (746953)CaDiCaL version: 2.1.3
% 12.23/2.09 % (746953)Termination reason: Instruction limit
% 12.23/2.09 % (746953)Termination phase: Saturation
% 12.23/2.09 % (746953)Time elapsed: 0.173 s
% 12.23/2.09 % (746953)Peak memory usage: 12 MB
% 12.23/2.09 % (746953)Instructions burned: 386 (million)
% 12.23/2.09 % (746968)Instruction limit reached!
% 12.23/2.09 % (746968)------------------------------
% 12.23/2.09 % (746968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.23/2.09 % (746968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.09 % (746968)CaDiCaL version: 2.1.3
% 12.23/2.09 % (746968)Termination reason: Instruction limit
% 12.23/2.09 % (746968)Termination phase: Saturation
% 12.23/2.09 % (746968)Time elapsed: 0.037 s
% 12.23/2.09 % (746968)Peak memory usage: 12 MB
% 12.23/2.09 % (746968)Instructions burned: 71 (million)
% 12.23/2.09 % (746970)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1628810355:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/302Mi)
% 12.23/2.09 % (746970)Refutation not found, incomplete strategy
% 12.23/2.09 % (746970)------------------------------
% 12.23/2.09 % (746970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.23/2.09 % (746970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/2.09 % (746970)CaDiCaL version: 2.1.3
% 12.23/2.09 % (746970)Termination reason: Refutation not found, incomplete strategy
% 12.23/2.09 % (746970)Time elapsed: 0.001 s
% 12.23/2.09 % (746970)Peak memory usage: 11 MB
% 12.23/2.09 % (746970)Instructions burned: 1 (million)
% 12.23/2.09 % (746970)------------------------------
% 12.23/2.09 % (746970)------------------------------
% 12.23/2.09 % (746971)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=251893990:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/4980Mi)
% 12.23/2.09 % (746973)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
% 12.23/2.09 % (746973)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 12.61/2.19 % (746971)Refutation not found, incomplete strategy
% 12.61/2.19 % (746971)------------------------------
% 12.61/2.19 % (746971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.19 % (746971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.19 % (746971)CaDiCaL version: 2.1.3
% 12.61/2.19 % (746971)Termination reason: Refutation not found, incomplete strategy
% 12.61/2.19 % (746971)Time elapsed: 0.001 s
% 12.61/2.19 % (746971)Peak memory usage: 11 MB
% 12.61/2.19 % (746971)Instructions burned: 1 (million)
% 12.61/2.19 % (746971)------------------------------
% 12.61/2.19 % (746971)------------------------------
% 12.61/2.19 % (746973)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=588798800:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2983 on theBenchmark for (2983ds/100Mi)
% 12.61/2.19 % (746975)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=2772418147:i=76:piset=equals:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/76Mi)
% 12.61/2.19 % (746962)Instruction limit reached!
% 12.61/2.19 % (746962)------------------------------
% 12.61/2.19 % (746962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.19 % (746962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.19 % (746962)CaDiCaL version: 2.1.3
% 12.61/2.19 % (746962)Termination reason: Instruction limit
% 12.61/2.19 % (746962)Termination phase: Saturation
% 12.61/2.19 % (746962)Time elapsed: 0.191 s
% 12.61/2.19 % (746962)Peak memory usage: 12 MB
% 12.61/2.19 % (746962)Instructions burned: 429 (million)
% 12.61/2.19 % (746978)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2126848542:i=289:rtra=on_2982 on theBenchmark for (2982ds/289Mi)
% 12.61/2.19 % (746973)Instruction limit reached!
% 12.61/2.19 % (746973)------------------------------
% 12.61/2.19 % (746973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.19 % (746973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.19 % (746973)CaDiCaL version: 2.1.3
% 12.61/2.19 % (746973)Termination reason: Instruction limit
% 12.61/2.19 % (746973)Termination phase: Saturation
% 12.61/2.19 % (746973)Time elapsed: 0.047 s
% 12.61/2.19 % (746973)Peak memory usage: 12 MB
% 12.61/2.19 % (746973)Instructions burned: 108 (million)
% 12.61/2.19 % (746978)Refutation not found, incomplete strategy
% 12.61/2.19 % (746978)------------------------------
% 12.61/2.19 % (746978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.19 % (746978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.19 % (746978)CaDiCaL version: 2.1.3
% 12.61/2.19 % (746978)Termination reason: Refutation not found, incomplete strategy
% 12.61/2.19 % (746978)Time elapsed: 0.002 s
% 12.61/2.19 % (746978)Peak memory usage: 12 MB
% 12.61/2.19 % (746978)Instructions burned: 2 (million)
% 12.61/2.19 % (746978)------------------------------
% 12.61/2.19 % (746978)------------------------------
% 12.61/2.19 % (746975)Instruction limit reached!
% 12.61/2.19 % (746975)------------------------------
% 12.61/2.19 % (746975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.19 % (746975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.19 % (746975)CaDiCaL version: 2.1.3
% 12.61/2.19 % (746975)Termination reason: Instruction limit
% 12.61/2.19 % (746975)Termination phase: Saturation
% 12.61/2.19 % (746975)Time elapsed: 0.037 s
% 12.61/2.19 % (746975)Peak memory usage: 12 MB
% 12.61/2.19 % (746975)Instructions burned: 76 (million)
% 12.61/2.19 % (746980)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=3000452705:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2982 on theBenchmark for (2982ds/493Mi)
% 12.61/2.19 % (746966)Instruction limit reached!
% 12.61/2.19 % (746966)------------------------------
% 12.61/2.19 % (746966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.19 % (746966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.19 % (746966)CaDiCaL version: 2.1.3
% 12.61/2.19 % (746966)Termination reason: Instruction limit
% 12.61/2.19 % (746966)Termination phase: Saturation
% 12.61/2.19 % (746966)Time elapsed: 0.208 s
% 12.61/2.19 % (746966)Peak memory usage: 15 MB
% 12.97/2.26 % (746966)Instructions burned: 448 (million)
% 12.97/2.26 % (746982)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 12.97/2.26 % (746981)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=3827971725:cond=on:i=34:hud=10:nm=10:rtra=on_2982 on theBenchmark for (2982ds/34Mi)
% 12.97/2.26 % (746982)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=2682759509:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2982 on theBenchmark for (2982ds/372Mi)
% 12.97/2.26 % (746982)Refutation not found, incomplete strategy
% 12.97/2.26 % (746982)------------------------------
% 12.97/2.26 % (746982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.97/2.26 % (746982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.97/2.26 % (746982)CaDiCaL version: 2.1.3
% 12.97/2.26 % (746982)Termination reason: Refutation not found, incomplete strategy
% 12.97/2.26 % (746982)Time elapsed: 0.002 s
% 12.97/2.26 % (746982)Peak memory usage: 12 MB
% 12.97/2.26 % (746982)Instructions burned: 3 (million)
% 12.97/2.26 % (746982)------------------------------
% 12.97/2.26 % (746982)------------------------------
% 12.97/2.26 % (746984)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1398575826:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2982 on theBenchmark for (2982ds/670Mi)
% 12.97/2.26 % (746981)Instruction limit reached!
% 12.97/2.26 % (746981)------------------------------
% 12.97/2.26 % (746981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.97/2.26 % (746981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.97/2.26 % (746981)CaDiCaL version: 2.1.3
% 12.97/2.26 % (746981)Termination reason: Instruction limit
% 12.97/2.26 % (746981)Termination phase: Saturation
% 12.97/2.26 % (746981)Time elapsed: 0.018 s
% 12.97/2.26 % (746981)Peak memory usage: 12 MB
% 12.97/2.26 % (746981)Instructions burned: 36 (million)
% 12.97/2.26 % (746987)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2182732418:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/647Mi)
% 12.97/2.26 % (746987)Refutation not found, incomplete strategy
% 12.97/2.26 % (746987)------------------------------
% 12.97/2.26 % (746987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.97/2.26 % (746987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.97/2.26 % (746987)CaDiCaL version: 2.1.3
% 12.97/2.26 % (746987)Termination reason: Refutation not found, incomplete strategy
% 12.97/2.26 % (746987)Time elapsed: 0.001 s
% 12.97/2.26 % (746987)Peak memory usage: 11 MB
% 12.97/2.26 % (746987)Instructions burned: 1 (million)
% 12.97/2.26 % (746987)------------------------------
% 12.97/2.26 % (746987)------------------------------
% 12.97/2.26 % (746989)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=1820939001:i=857:add=off:kws=frequency:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/857Mi)
% 12.97/2.26 % (746848)Instruction limit reached!
% 12.97/2.26 % (746848)------------------------------
% 12.97/2.26 % (746848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.97/2.26 % (746848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.97/2.26 % (746848)CaDiCaL version: 2.1.3
% 12.97/2.26 % (746848)Termination reason: Instruction limit
% 12.97/2.26 % (746848)Termination phase: Saturation
% 12.97/2.26 % (746848)Time elapsed: 0.818 s
% 12.97/2.26 % (746848)Peak memory usage: 13 MB
% 12.97/2.26 % (746848)Instructions burned: 2187 (million)
% 12.97/2.26 % (746991)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=2705138908:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2981 on theBenchmark for (2981ds/693Mi)
% 12.97/2.26 % (746993)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=289520947:i=285:hud=10:bd=all:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/285Mi)
% 12.97/2.26 % (746993)Refutation not found, incomplete strategy
% 12.97/2.26 % (746993)------------------------------
% 12.97/2.26 % (746993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.37/2.42 % (746993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.42 % (746993)CaDiCaL version: 2.1.3
% 14.37/2.42 % (746993)Termination reason: Refutation not found, incomplete strategy
% 14.37/2.42 % (746993)Time elapsed: 0.001 s
% 14.37/2.42 % (746993)Peak memory usage: 11 MB
% 14.37/2.42 % (746993)Instructions burned: 1 (million)
% 14.37/2.42 % (746993)------------------------------
% 14.37/2.42 % (746993)------------------------------
% 14.37/2.42 % (746996)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 14.37/2.42 % (746996)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=3794252956:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2981 on theBenchmark for (2981ds/52Mi)
% 14.37/2.42 % (746996)Instruction limit reached!
% 14.37/2.42 % (746996)------------------------------
% 14.37/2.42 % (746996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.37/2.42 % (746996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.42 % (746996)CaDiCaL version: 2.1.3
% 14.37/2.42 % (746996)Termination reason: Instruction limit
% 14.37/2.42 % (746996)Termination phase: Saturation
% 14.37/2.42 % (746996)Time elapsed: 0.021 s
% 14.37/2.42 % (746996)Peak memory usage: 12 MB
% 14.37/2.42 % (746996)Instructions burned: 54 (million)
% 14.37/2.42 % (746998)dis+10_1_si=on:random_seed=3034854888:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2981 on theBenchmark for (2981ds/407Mi)
% 14.37/2.42 % (746998)Refutation not found, incomplete strategy
% 14.37/2.42 % (746998)------------------------------
% 14.37/2.42 % (746998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.37/2.42 % (746998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.42 % (746998)CaDiCaL version: 2.1.3
% 14.37/2.42 % (746998)Termination reason: Refutation not found, incomplete strategy
% 14.37/2.42 % (746998)Time elapsed: 0.001 s
% 14.37/2.42 % (746998)Peak memory usage: 11 MB
% 14.37/2.42 % (746998)Instructions burned: 1 (million)
% 14.37/2.42 % (746998)------------------------------
% 14.37/2.42 % (746998)------------------------------
% 14.37/2.42 % (746984)Instruction limit reached!
% 14.37/2.42 % (746984)------------------------------
% 14.37/2.42 % (746984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.37/2.42 % (746984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.42 % (746984)CaDiCaL version: 2.1.3
% 14.37/2.42 % (746984)Termination reason: Instruction limit
% 14.37/2.42 % (746984)Termination phase: Saturation
% 14.37/2.42 % (746984)Time elapsed: 0.125 s
% 14.37/2.42 % (746984)Peak memory usage: 13 MB
% 14.37/2.42 % (746984)Instructions burned: 675 (million)
% 14.37/2.42 % (747000)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=1194849230:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/2240Mi)
% 14.37/2.42 % (747001)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1538874792:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/336Mi)
% 14.37/2.42 % (747001)Refutation not found, incomplete strategy
% 14.37/2.42 % (747001)------------------------------
% 14.37/2.42 % (747001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.37/2.42 % (747001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.42 % (747001)CaDiCaL version: 2.1.3
% 14.37/2.42 % (747001)Termination reason: Refutation not found, incomplete strategy
% 14.37/2.42 % (747001)Time elapsed: 0.0000 s
% 14.37/2.42 % (747001)Peak memory usage: 11 MB
% 14.37/2.42 % (747001)Instructions burned: 1 (million)
% 14.37/2.42 % (747001)------------------------------
% 14.37/2.42 % (747001)------------------------------
% 14.37/2.42 % (747004)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1250518835:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2980 on theBenchmark for (2980ds/1142Mi)
% 14.37/2.42 % (747004)Refutation not found, incomplete strategy
% 14.37/2.42 % (747004)------------------------------
% 14.37/2.42 % (747004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.37/2.42 % (747004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.42 % (747004)CaDiCaL version: 2.1.3
% 14.37/2.42 % (747004)Termination reason: Refutation not found, incomplete strategy
% 14.97/2.67 % (747004)Time elapsed: 0.007 s
% 14.97/2.67 % (747004)Peak memory usage: 12 MB
% 14.97/2.67 % (747004)Instructions burned: 24 (million)
% 14.97/2.67 % (747004)------------------------------
% 14.97/2.67 % (747004)------------------------------
% 14.97/2.67 % (747006)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3792810007:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/376Mi)
% 14.97/2.67 % (747006)Refutation not found, incomplete strategy
% 14.97/2.67 % (747006)------------------------------
% 14.97/2.67 % (747006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.67 % (747006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.67 % (747006)CaDiCaL version: 2.1.3
% 14.97/2.67 % (747006)Termination reason: Refutation not found, incomplete strategy
% 14.97/2.67 % (747006)Time elapsed: 0.0000 s
% 14.97/2.67 % (747006)Peak memory usage: 11 MB
% 14.97/2.67 % (747006)Instructions burned: 1 (million)
% 14.97/2.67 % (747006)------------------------------
% 14.97/2.67 % (747006)------------------------------
% 14.97/2.67 % (747008)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2756999037:i=766:bd=all:rtra=on_2980 on theBenchmark for (2980ds/766Mi)
% 14.97/2.67 % (747008)Refutation not found, incomplete strategy
% 14.97/2.67 % (747008)------------------------------
% 14.97/2.67 % (747008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.67 % (747008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.67 % (747008)CaDiCaL version: 2.1.3
% 14.97/2.67 % (747008)Termination reason: Refutation not found, incomplete strategy
% 14.97/2.67 % (747008)Time elapsed: 0.002 s
% 14.97/2.67 % (747008)Peak memory usage: 12 MB
% 14.97/2.67 % (747008)Instructions burned: 2 (million)
% 14.97/2.67 % (747008)------------------------------
% 14.97/2.67 % (747008)------------------------------
% 14.97/2.67 % (746980)Instruction limit reached!
% 14.97/2.67 % (746980)------------------------------
% 14.97/2.67 % (746980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.67 % (746980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.67 % (746980)CaDiCaL version: 2.1.3
% 14.97/2.67 % (746980)Termination reason: Instruction limit
% 14.97/2.67 % (746980)Termination phase: Saturation
% 14.97/2.67 % (746980)Time elapsed: 0.207 s
% 14.97/2.67 % (746980)Peak memory usage: 13 MB
% 14.97/2.67 % (746980)Instructions burned: 493 (million)
% 14.97/2.67 % (747010)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 14.97/2.67 % (747010)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3109639986: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_2980 on theBenchmark for (2980ds/959Mi)
% 14.97/2.67 % (747010)Refutation not found, incomplete strategy
% 14.97/2.67 % (747010)------------------------------
% 14.97/2.67 % (747010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.67 % (747010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.67 % (747010)CaDiCaL version: 2.1.3
% 14.97/2.67 % (747010)Termination reason: Refutation not found, incomplete strategy
% 14.97/2.67 % (747010)Time elapsed: 0.001 s
% 14.97/2.67 % (747010)Peak memory usage: 11 MB
% 14.97/2.67 % (747010)Instructions burned: 1 (million)
% 14.97/2.67 % (747010)------------------------------
% 14.97/2.67 % (747010)------------------------------
% 14.97/2.67 % (747011)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=933192369:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2980 on theBenchmark for (2980ds/6359Mi)
% 14.97/2.67 % (747013)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1176203922:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2980 on theBenchmark for (2980ds/35Mi)
% 14.97/2.67 % (747013)Refutation not found, incomplete strategy
% 14.97/2.67 % (747013)------------------------------
% 14.97/2.67 % (747013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.67 % (747013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.67 % (747013)CaDiCaL version: 2.1.3
% 14.97/2.67 % (747013)Termination reason: Refutation not found, incomplete strategy
% 14.97/2.67 % (747013)Time elapsed: 0.001 s
% 15.51/2.77 % (747013)Peak memory usage: 11 MB
% 15.51/2.77 % (747013)------------------------------
% 15.51/2.77 % (747013)------------------------------
% 15.51/2.77 % (747016)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=515280363:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2979 on theBenchmark for (2979ds/53Mi)
% 15.51/2.77 % (747016)Instruction limit reached!
% 15.51/2.77 % (747016)------------------------------
% 15.51/2.77 % (747016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.51/2.77 % (747016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.77 % (747016)CaDiCaL version: 2.1.3
% 15.51/2.77 % (747016)Termination reason: Instruction limit
% 15.51/2.77 % (747016)Termination phase: Saturation
% 15.51/2.77 % (747016)Time elapsed: 0.030 s
% 15.51/2.77 % (747016)Peak memory usage: 12 MB
% 15.51/2.77 % (747016)Instructions burned: 54 (million)
% 15.51/2.77 % (747018)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=766435310:s2a=on:i=876:s2at=6:nm=2:rtra=on_2979 on theBenchmark for (2979ds/876Mi)
% 15.51/2.77 % (746991)Instruction limit reached!
% 15.51/2.77 % (746991)------------------------------
% 15.51/2.77 % (746991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.51/2.77 % (746991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.77 % (746991)CaDiCaL version: 2.1.3
% 15.51/2.77 % (746991)Termination reason: Instruction limit
% 15.51/2.77 % (746991)Termination phase: Saturation
% 15.51/2.77 % (746991)Time elapsed: 0.282 s
% 15.51/2.77 % (746991)Peak memory usage: 12 MB
% 15.51/2.77 % (746991)Instructions burned: 695 (million)
% 15.51/2.77 % (747020)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=702715771:i=57:ep=R:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/57Mi)
% 15.51/2.77 % (746989)Instruction limit reached!
% 15.51/2.77 % (746989)------------------------------
% 15.51/2.77 % (746989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.51/2.77 % (746989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.77 % (746989)CaDiCaL version: 2.1.3
% 15.51/2.77 % (746989)Termination reason: Instruction limit
% 15.51/2.77 % (746989)Termination phase: Saturation
% 15.51/2.77 % (746989)Time elapsed: 0.326 s
% 15.51/2.77 % (746989)Peak memory usage: 12 MB
% 15.51/2.77 % (746989)Instructions burned: 859 (million)
% 15.51/2.77 % (747020)Instruction limit reached!
% 15.51/2.77 % (747020)------------------------------
% 15.51/2.77 % (747020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.51/2.77 % (747020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.77 % (747020)CaDiCaL version: 2.1.3
% 15.51/2.77 % (747020)Termination reason: Instruction limit
% 15.51/2.77 % (747020)Termination phase: Saturation
% 15.51/2.77 % (747020)Time elapsed: 0.027 s
% 15.51/2.77 % (747020)Peak memory usage: 12 MB
% 15.51/2.77 % (747020)Instructions burned: 57 (million)
% 15.51/2.77 % (747022)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 15.51/2.77 % (747022)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3583819764:i=306:bd=all:rtra=on_2978 on theBenchmark for (2978ds/306Mi)
% 15.51/2.77 % (747022)Refutation not found, incomplete strategy
% 15.51/2.77 % (747022)------------------------------
% 15.51/2.77 % (747022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.51/2.77 % (747022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.77 % (747022)CaDiCaL version: 2.1.3
% 15.51/2.77 % (747022)Termination reason: Refutation not found, incomplete strategy
% 15.51/2.77 % (747022)Time elapsed: 0.002 s
% 15.51/2.77 % (747022)Peak memory usage: 12 MB
% 15.51/2.77 % (747022)Instructions burned: 2 (million)
% 15.51/2.77 % (747022)------------------------------
% 15.51/2.77 % (747022)------------------------------
% 15.51/2.77 % (747023)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=396672203:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/262Mi)
% 15.51/2.77 % (747023)Refutation not found, incomplete strategy
% 15.51/2.77 % (747023)------------------------------
% 15.51/2.77 % (747023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.51/2.77 % (747023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/2.77 % (747023)CaDiCaL version: 2.1.3
% 16.23/2.89 % (747023)Termination reason: Refutation not found, incomplete strategy
% 16.23/2.89 % (747023)Time elapsed: 0.001 s
% 16.23/2.89 % (747023)Peak memory usage: 11 MB
% 16.23/2.89 % (747023)Instructions burned: 1 (million)
% 16.23/2.89 % (747023)------------------------------
% 16.23/2.89 % (747023)------------------------------
% 16.23/2.89 % (747025)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 16.23/2.89 % (747025)ott+1002_16_sil=128000:si=on:random_seed=4227527433:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/409Mi)
% 16.23/2.89 % (747027)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2396571131:s2a=on:i=381:rtra=on_2978 on theBenchmark for (2978ds/381Mi)
% 16.23/2.89 % (746885)Instruction limit reached!
% 16.23/2.89 % (746885)------------------------------
% 16.23/2.89 % (746885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.23/2.89 % (746885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/2.89 % (746885)CaDiCaL version: 2.1.3
% 16.23/2.89 % (746885)Termination reason: Instruction limit
% 16.23/2.89 % (746885)Termination phase: Saturation
% 16.23/2.89 % (746885)Time elapsed: 1.162 s
% 16.23/2.89 % (746885)Peak memory usage: 16 MB
% 16.23/2.89 % (746885)Instructions burned: 2471 (million)
% 16.23/2.89 % (747030)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3727704239:cond=on:i=324:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/324Mi)
% 16.23/2.89 % (747025)Instruction limit reached!
% 16.23/2.89 % (747025)------------------------------
% 16.23/2.89 % (747025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.23/2.89 % (747025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/2.89 % (747025)CaDiCaL version: 2.1.3
% 16.23/2.89 % (747025)Termination reason: Instruction limit
% 16.23/2.89 % (747025)Termination phase: Saturation
% 16.23/2.89 % (747025)Time elapsed: 0.151 s
% 16.23/2.89 % (747025)Peak memory usage: 13 MB
% 16.23/2.89 % (747025)Instructions burned: 411 (million)
% 16.23/2.89 % (747032)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=985497541:i=240:kws=inv_precedence:rtra=on_2976 on theBenchmark for (2976ds/240Mi)
% 16.23/2.89 % (747027)Instruction limit reached!
% 16.23/2.89 % (747027)------------------------------
% 16.23/2.89 % (747027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.23/2.89 % (747027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/2.89 % (747027)CaDiCaL version: 2.1.3
% 16.23/2.89 % (747027)Termination reason: Instruction limit
% 16.23/2.89 % (747027)Termination phase: Saturation
% 16.23/2.89 % (747027)Time elapsed: 0.164 s
% 16.23/2.89 % (747027)Peak memory usage: 12 MB
% 16.23/2.89 % (747027)Instructions burned: 383 (million)
% 16.23/2.89 % (747032)Refutation not found, incomplete strategy
% 16.23/2.89 % (747032)------------------------------
% 16.23/2.89 % (747032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.23/2.89 % (747032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/2.89 % (747032)CaDiCaL version: 2.1.3
% 16.23/2.89 % (747032)Termination reason: Refutation not found, incomplete strategy
% 16.23/2.89 % (747032)Time elapsed: 0.001 s
% 16.23/2.89 % (747032)Peak memory usage: 12 MB
% 16.23/2.89 % (747032)Instructions burned: 2 (million)
% 16.23/2.89 % (747032)------------------------------
% 16.23/2.89 % (747032)------------------------------
% 16.23/2.89 % (747034)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.23/2.89 % (747034)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2358015482:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/124Mi)
% 16.23/2.89 % (747035)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1397980923:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/223Mi)
% 16.23/2.89 % (747034)Instruction limit reached!
% 16.23/2.89 % (747034)------------------------------
% 16.23/2.89 % (747034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.23/2.89 % (747034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/2.89 % (747034)CaDiCaL version: 2.1.3
% 16.23/2.89 % (747034)Termination reason: Instruction limit
% 16.23/2.89 % (747034)Termination phase: Saturation
% 16.23/2.89 % (747034)Time elapsed: 0.047 s
% 16.23/2.89 % (747034)Peak memory usage: 12 MB
% 19.32/3.06 % (747034)Instructions burned: 126 (million)
% 19.32/3.06 % (747038)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1330966210:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2975 on theBenchmark for (2975ds/282Mi)
% 19.32/3.06 % (747030)Instruction limit reached!
% 19.32/3.06 % (747030)------------------------------
% 19.32/3.06 % (747030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.32/3.06 % (747030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.06 % (747030)CaDiCaL version: 2.1.3
% 19.32/3.06 % (747030)Termination reason: Instruction limit
% 19.32/3.06 % (747030)Termination phase: Saturation
% 19.32/3.06 % (747030)Time elapsed: 0.144 s
% 19.32/3.06 % (747030)Peak memory usage: 12 MB
% 19.32/3.06 % (747030)Instructions burned: 325 (million)
% 19.32/3.06 % (747035)Instruction limit reached!
% 19.32/3.06 % (747035)------------------------------
% 19.32/3.06 % (747035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.32/3.06 % (747035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.06 % (747035)CaDiCaL version: 2.1.3
% 19.32/3.06 % (747035)Termination reason: Instruction limit
% 19.32/3.06 % (747035)Termination phase: Saturation
% 19.32/3.06 % (747035)Time elapsed: 0.076 s
% 19.32/3.06 % (747035)Peak memory usage: 13 MB
% 19.32/3.06 % (747035)Instructions burned: 225 (million)
% 19.32/3.06 % (747040)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3422497714:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/464Mi)
% 19.32/3.06 % (747040)Refutation not found, incomplete strategy
% 19.32/3.06 % (747040)------------------------------
% 19.32/3.06 % (747040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.32/3.06 % (747040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.06 % (747040)CaDiCaL version: 2.1.3
% 19.32/3.06 % (747040)Termination reason: Refutation not found, incomplete strategy
% 19.32/3.06 % (747040)Time elapsed: 0.001 s
% 19.32/3.06 % (747040)Peak memory usage: 11 MB
% 19.32/3.06 % (747040)Instructions burned: 1 (million)
% 19.32/3.06 % (747040)------------------------------
% 19.32/3.06 % (747040)------------------------------
% 19.32/3.06 % (747018)Instruction limit reached!
% 19.32/3.06 % (747018)------------------------------
% 19.32/3.06 % (747018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.32/3.06 % (747018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.06 % (747018)CaDiCaL version: 2.1.3
% 19.32/3.06 % (747018)Termination reason: Instruction limit
% 19.32/3.06 % (747018)Termination phase: Saturation
% 19.32/3.06 % (747018)Time elapsed: 0.387 s
% 19.32/3.06 % (747018)Peak memory usage: 13 MB
% 19.32/3.06 % (747018)Instructions burned: 878 (million)
% 19.32/3.06 % (747041)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=2179072761:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 19.32/3.06 % (747045)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 19.32/3.06 % (747043)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1317240392:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/280Mi)
% 19.32/3.06 % (747045)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=545798656:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/4386Mi)
% 19.32/3.06 % (747041)Instruction limit reached!
% 19.32/3.06 % (747041)------------------------------
% 19.32/3.06 % (747041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.32/3.06 % (747041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.06 % (747041)CaDiCaL version: 2.1.3
% 19.32/3.06 % (747041)Termination reason: Instruction limit
% 19.32/3.06 % (747041)Termination phase: Saturation
% 19.32/3.06 % (747041)Time elapsed: 0.038 s
% 19.32/3.06 % (747041)Peak memory usage: 12 MB
% 19.32/3.06 % (747041)Instructions burned: 90 (million)
% 19.32/3.06 % (747048)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 19.32/3.06 % (747048)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 19.32/3.06 % (747048)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=689713141:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2974 on theBenchmark for (2974ds/483Mi)
% 20.93/3.33 % (747048)Refutation not found, incomplete strategy
% 20.93/3.33 % (747048)------------------------------
% 20.93/3.33 % (747048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.33 % (747048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.33 % (747048)CaDiCaL version: 2.1.3
% 20.93/3.33 % (747048)Termination reason: Refutation not found, incomplete strategy
% 20.93/3.33 % (747048)Time elapsed: 0.001 s
% 20.93/3.33 % (747048)Peak memory usage: 12 MB
% 20.93/3.33 % (747048)Instructions burned: 1 (million)
% 20.93/3.33 % (747048)------------------------------
% 20.93/3.33 % (747048)------------------------------
% 20.93/3.33 % (747050)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2720658052:i=73:rtra=on_2974 on theBenchmark for (2974ds/73Mi)
% 20.93/3.33 % (747050)Refutation not found, incomplete strategy
% 20.93/3.33 % (747050)------------------------------
% 20.93/3.33 % (747050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.33 % (747050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.33 % (747050)CaDiCaL version: 2.1.3
% 20.93/3.33 % (747050)Termination reason: Refutation not found, incomplete strategy
% 20.93/3.33 % (747050)Time elapsed: 0.002 s
% 20.93/3.33 % (747050)Peak memory usage: 12 MB
% 20.93/3.33 % (747050)Instructions burned: 2 (million)
% 20.93/3.33 % (747050)------------------------------
% 20.93/3.33 % (747050)------------------------------
% 20.93/3.33 % (747052)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1492734903:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2974 on theBenchmark for (2974ds/176Mi)
% 20.93/3.33 % (747038)Instruction limit reached!
% 20.93/3.33 % (747038)------------------------------
% 20.93/3.33 % (747038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.33 % (747038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.33 % (747038)CaDiCaL version: 2.1.3
% 20.93/3.33 % (747038)Termination reason: Instruction limit
% 20.93/3.33 % (747038)Termination phase: Saturation
% 20.93/3.33 % (747038)Time elapsed: 0.142 s
% 20.93/3.33 % (747038)Peak memory usage: 13 MB
% 20.93/3.33 % (747038)Instructions burned: 283 (million)
% 20.93/3.33 % (747054)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.93/3.33 % (747054)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=226801469:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2974 on theBenchmark for (2974ds/39Mi)
% 20.93/3.33 % (747054)Instruction limit reached!
% 20.93/3.33 % (747054)------------------------------
% 20.93/3.33 % (747054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.33 % (747054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.33 % (747054)CaDiCaL version: 2.1.3
% 20.93/3.33 % (747054)Termination reason: Instruction limit
% 20.93/3.33 % (747054)Termination phase: Saturation
% 20.93/3.33 % (747054)Time elapsed: 0.011 s
% 20.93/3.33 % (747054)Peak memory usage: 12 MB
% 20.93/3.33 % (747054)Instructions burned: 41 (million)
% 20.93/3.33 % (747056)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2009639599:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2973 on theBenchmark for (2973ds/708Mi)
% 20.93/3.33 % (747043)Instruction limit reached!
% 20.93/3.33 % (747043)------------------------------
% 20.93/3.33 % (747043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.33 % (747043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.33 % (747043)CaDiCaL version: 2.1.3
% 20.93/3.33 % (747043)Termination reason: Instruction limit
% 20.93/3.33 % (747043)Termination phase: Saturation
% 20.93/3.33 % (747043)Time elapsed: 0.136 s
% 20.93/3.33 % (747043)Peak memory usage: 12 MB
% 20.93/3.33 % (747043)Instructions burned: 281 (million)
% 20.93/3.33 % (747058)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
% 20.93/3.33 % (747058)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=3251500466:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/252Mi)
% 21.52/3.44 % (747052)Instruction limit reached!
% 21.52/3.44 % (747052)------------------------------
% 21.52/3.44 % (747052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.44 % (747052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.44 % (747052)CaDiCaL version: 2.1.3
% 21.52/3.44 % (747052)Termination reason: Instruction limit
% 21.52/3.44 % (747052)Termination phase: Saturation
% 21.52/3.44 % (747052)Time elapsed: 0.082 s
% 21.52/3.44 % (747052)Peak memory usage: 12 MB
% 21.52/3.44 % (747052)Instructions burned: 176 (million)
% 21.52/3.44 % (747060)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=3487988850:i=823:fsr=off:rtra=on_2973 on theBenchmark for (2973ds/823Mi)
% 21.52/3.44 % (747056)Instruction limit reached!
% 21.52/3.44 % (747056)------------------------------
% 21.52/3.44 % (747056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.44 % (747056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.44 % (747056)CaDiCaL version: 2.1.3
% 21.52/3.44 % (747056)Termination reason: Instruction limit
% 21.52/3.44 % (747056)Termination phase: Saturation
% 21.52/3.44 % (747056)Time elapsed: 0.122 s
% 21.52/3.44 % (747056)Peak memory usage: 13 MB
% 21.52/3.44 % (747056)Instructions burned: 710 (million)
% 21.52/3.44 % (747058)Instruction limit reached!
% 21.52/3.44 % (747058)------------------------------
% 21.52/3.44 % (747058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.44 % (747058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.44 % (747058)CaDiCaL version: 2.1.3
% 21.52/3.44 % (747058)Termination reason: Instruction limit
% 21.52/3.44 % (747058)Termination phase: Saturation
% 21.52/3.44 % (747058)Time elapsed: 0.103 s
% 21.52/3.44 % (747058)Peak memory usage: 12 MB
% 21.52/3.44 % (747058)Instructions burned: 254 (million)
% 21.52/3.44 % (747062)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 21.52/3.44 % (747062)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1518943584:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/16202Mi)
% 21.52/3.45 % (747062)Refutation not found, incomplete strategy
% 21.52/3.45 % (747062)------------------------------
% 21.52/3.45 % (747062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.45 % (747062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.45 % (747062)CaDiCaL version: 2.1.3
% 21.52/3.45 % (747062)Termination reason: Refutation not found, incomplete strategy
% 21.52/3.45 % (747062)Time elapsed: 0.0000 s
% 21.52/3.45 % (747062)Peak memory usage: 11 MB
% 21.52/3.45 % (747062)Instructions burned: 1 (million)
% 21.52/3.45 % (747062)------------------------------
% 21.52/3.45 % (747062)------------------------------
% 21.52/3.45 % (747065)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 21.52/3.45 % (747065)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 21.52/3.45 % (747065)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2390870875:i=177:add=on:bd=preordered:rtra=on:rawr=on_2972 on theBenchmark for (2972ds/177Mi)
% 21.52/3.45 % (747063)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1185179520:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/300Mi)
% 21.52/3.45 % (747065)Instruction limit reached!
% 21.52/3.45 % (747065)------------------------------
% 21.52/3.45 % (747065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.45 % (747065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.45 % (747065)CaDiCaL version: 2.1.3
% 21.52/3.45 % (747065)Termination reason: Instruction limit
% 21.52/3.45 % (747065)Termination phase: Saturation
% 21.52/3.45 % (747065)Time elapsed: 0.042 s
% 21.52/3.45 % (747065)Peak memory usage: 12 MB
% 21.52/3.45 % (747065)Instructions burned: 179 (million)
% 21.52/3.45 % (747068)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3847554013:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/715Mi)
% 21.52/3.45 % (747068)Refutation not found, incomplete strategy
% 22.25/3.51 % (747068)------------------------------
% 22.25/3.51 % (747068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.25/3.51 % (747068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.51 % (747068)CaDiCaL version: 2.1.3
% 22.25/3.51 % (747068)Termination reason: Refutation not found, incomplete strategy
% 22.25/3.51 % (747068)Time elapsed: 0.0000 s
% 22.25/3.51 % (747068)Peak memory usage: 11 MB
% 22.25/3.51 % (747068)Instructions burned: 2 (million)
% 22.25/3.51 % (747068)------------------------------
% 22.25/3.51 % (747068)------------------------------
% 22.25/3.51 % (747070)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 22.25/3.51 % (747070)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 22.25/3.51 % (747070)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=991063556:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2971 on theBenchmark for (2971ds/230Mi)
% 22.25/3.51 % (747070)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 22.25/3.51 % (747063)Instruction limit reached!
% 22.25/3.51 % (747063)------------------------------
% 22.25/3.51 % (747063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.25/3.51 % (747063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.51 % (747063)CaDiCaL version: 2.1.3
% 22.25/3.51 % (747063)Termination reason: Instruction limit
% 22.25/3.51 % (747063)Termination phase: Saturation
% 22.25/3.51 % (747063)Time elapsed: 0.128 s
% 22.25/3.51 % (747063)Peak memory usage: 12 MB
% 22.25/3.51 % (747063)Instructions burned: 300 (million)
% 22.25/3.51 % (747072)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2085326852:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2971 on theBenchmark for (2971ds/606Mi)
% 22.25/3.51 % (747070)Instruction limit reached!
% 22.25/3.51 % (747070)------------------------------
% 22.25/3.51 % (747070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.25/3.51 % (747070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.51 % (747070)CaDiCaL version: 2.1.3
% 22.25/3.51 % (747070)Termination reason: Instruction limit
% 22.25/3.51 % (747070)Termination phase: Saturation
% 22.25/3.51 % (747070)Time elapsed: 0.081 s
% 22.25/3.51 % (747070)Peak memory usage: 12 MB
% 22.25/3.51 % (747070)Instructions burned: 230 (million)
% 22.25/3.51 % (747074)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 22.25/3.51 % (747074)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3338687361:lrd=on:i=841:nm=0:rtra=on_2970 on theBenchmark for (2970ds/841Mi)
% 22.25/3.51 % (747060)Instruction limit reached!
% 22.25/3.51 % (747060)------------------------------
% 22.25/3.51 % (747060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.25/3.51 % (747060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.51 % (747060)CaDiCaL version: 2.1.3
% 22.25/3.51 % (747060)Termination reason: Instruction limit
% 22.25/3.51 % (747060)Termination phase: Saturation
% 22.25/3.51 % (747060)Time elapsed: 0.345 s
% 22.25/3.51 % (747060)Peak memory usage: 13 MB
% 22.25/3.51 % (747060)Instructions burned: 824 (million)
% 22.25/3.51 % (747076)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1290757894:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2969 on theBenchmark for (2969ds/445Mi)
% 22.25/3.51 % (747000)Instruction limit reached!
% 22.25/3.51 % (747000)------------------------------
% 22.25/3.51 % (747000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.25/3.51 % (747000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.51 % (747000)CaDiCaL version: 2.1.3
% 22.25/3.51 % (747000)Termination reason: Instruction limit
% 22.25/3.51 % (747000)Termination phase: Saturation
% 22.25/3.51 % (747000)Time elapsed: 1.141 s
% 22.25/3.51 % (747000)Peak memory usage: 17 MB
% 22.25/3.51 % (747000)Instructions burned: 2240 (million)
% 22.25/3.51 % (747078)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2430242845:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2969 on theBenchmark for (2969ds/71Mi)
% 22.25/3.55 % (747078)Instruction limit reached!
% 22.25/3.55 % (747078)------------------------------
% 22.25/3.55 % (747078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.25/3.55 % (747078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.55 % (747078)CaDiCaL version: 2.1.3
% 22.25/3.55 % (747078)Termination reason: Instruction limit
% 22.25/3.55 % (747078)Termination phase: Saturation
% 22.25/3.55 % (747078)Time elapsed: 0.038 s
% 22.25/3.55 % (747078)Peak memory usage: 12 MB
% 22.25/3.55 % (747078)Instructions burned: 71 (million)
% 22.25/3.55 % (747074)Instruction limit reached!
% 22.25/3.55 % (747074)------------------------------
% 22.25/3.55 % (747074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.25/3.55 % (747074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.55 % (747074)CaDiCaL version: 2.1.3
% 22.25/3.55 % (747074)Termination reason: Instruction limit
% 22.25/3.55 % (747074)Termination phase: Saturation
% 22.25/3.55 % (747074)Time elapsed: 0.195 s
% 22.25/3.55 % (747074)Peak memory usage: 13 MB
% 22.25/3.55 % (747074)Instructions burned: 841 (million)
% 22.25/3.55 % (747081)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 22.25/3.55 % (747081)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=842823849:i=1352:add=on:aac=none:rtra=on_2968 on theBenchmark for (2968ds/1352Mi)
% 22.25/3.55 % (747081)Refutation not found, incomplete strategy
% 22.25/3.55 % (747081)------------------------------
% 22.25/3.55 % (747081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.25/3.55 % (747081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.55 % (747081)CaDiCaL version: 2.1.3
% 22.25/3.55 % (747081)Termination reason: Refutation not found, incomplete strategy
% 22.25/3.55 % (747081)Time elapsed: 0.001 s
% 22.25/3.55 % (747081)Peak memory usage: 12 MB
% 22.25/3.55 % (747081)Instructions burned: 3 (million)
% 22.25/3.55 % (747081)------------------------------
% 22.25/3.55 % (747081)------------------------------
% 22.25/3.55 % (747080)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 22.25/3.55 % (747080)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 22.25/3.55 % (747080)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1305936682:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2968 on theBenchmark for (2968ds/100Mi)
% 22.25/3.55 % (747083)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=490841668:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2968 on theBenchmark for (2968ds/646Mi)
% 22.25/3.55 % (747072)Instruction limit reached!
% 22.25/3.55 % (747072)------------------------------
% 22.25/3.55 % (747072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.25/3.55 % (747072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.55 % (747072)CaDiCaL version: 2.1.3
% 22.25/3.55 % (747072)Termination reason: Instruction limit
% 22.25/3.55 % (747072)Termination phase: Saturation
% 22.25/3.55 % (747072)Time elapsed: 0.270 s
% 22.25/3.55 % (747072)Peak memory usage: 12 MB
% 22.25/3.55 % (747072)Instructions burned: 607 (million)
% 22.25/3.55 % (747080)Instruction limit reached!
% 22.25/3.55 % (747080)------------------------------
% 22.25/3.55 % (747080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.25/3.55 % (747080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/3.55 % (747080)CaDiCaL version: 2.1.3
% 22.25/3.55 % (747080)Termination reason: Instruction limit
% 22.25/3.55 % (747080)Termination phase: Saturation
% 22.25/3.55 % (747080)Time elapsed: 0.045 s
% 22.25/3.55 % (747080)Peak memory usage: 12 MB
% 22.25/3.55 % (747080)Instructions burned: 101 (million)
% 22.25/3.55 % (747086)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=205968122:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/1924Mi)
% 23.05/3.67 % (747086)Refutation not found, incomplete strategy
% 23.05/3.67 % (747086)------------------------------
% 23.05/3.67 % (747086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.67 % (747086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.67 % (747086)CaDiCaL version: 2.1.3
% 23.05/3.67 % (747086)Termination reason: Refutation not found, incomplete strategy
% 23.05/3.67 % (747086)Time elapsed: 0.001 s
% 23.05/3.67 % (747086)Peak memory usage: 12 MB
% 23.05/3.67 % (747086)Instructions burned: 1 (million)
% 23.05/3.67 % (747086)------------------------------
% 23.05/3.67 % (747086)------------------------------
% 23.05/3.67 % (747087)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3304117756:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2968 on theBenchmark for (2968ds/984Mi)
% 23.05/3.67 % (747087)Refutation not found, incomplete strategy
% 23.05/3.67 % (747087)------------------------------
% 23.05/3.67 % (747087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.67 % (747087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.67 % (747087)CaDiCaL version: 2.1.3
% 23.05/3.67 % (747087)Termination reason: Refutation not found, incomplete strategy
% 23.05/3.67 % (747087)Time elapsed: 0.001 s
% 23.05/3.67 % (747087)Peak memory usage: 12 MB
% 23.05/3.67 % (747087)Instructions burned: 2 (million)
% 23.05/3.67 % (747087)------------------------------
% 23.05/3.67 % (747087)------------------------------
% 23.05/3.67 % (747090)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3789983394:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2967 on theBenchmark for (2967ds/592Mi)
% 23.05/3.67 % (747091)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=4273251829:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2967 on theBenchmark for (2967ds/872Mi)
% 23.05/3.67 % (747091)Refutation not found, incomplete strategy
% 23.05/3.67 % (747091)------------------------------
% 23.05/3.67 % (747091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.67 % (747091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.67 % (747091)CaDiCaL version: 2.1.3
% 23.05/3.67 % (747091)Termination reason: Refutation not found, incomplete strategy
% 23.05/3.67 % (747091)Time elapsed: 0.001 s
% 23.05/3.67 % (747091)Peak memory usage: 11 MB
% 23.05/3.67 % (747091)Instructions burned: 1 (million)
% 23.05/3.67 % (747091)------------------------------
% 23.05/3.67 % (747091)------------------------------
% 23.05/3.67 % (747094)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 23.05/3.67 % (747094)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=1439852112:i=999:add=on:rtra=on_2967 on theBenchmark for (2967ds/999Mi)
% 23.05/3.67 % (747083)Instruction limit reached!
% 23.05/3.67 % (747083)------------------------------
% 23.05/3.67 % (747083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.67 % (747083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.67 % (747083)CaDiCaL version: 2.1.3
% 23.05/3.67 % (747083)Termination reason: Instruction limit
% 23.05/3.67 % (747083)Termination phase: Saturation
% 23.05/3.67 % (747083)Time elapsed: 0.108 s
% 23.05/3.67 % (747083)Peak memory usage: 14 MB
% 23.05/3.67 % (747083)Instructions burned: 647 (million)
% 23.05/3.67 % (747076)Instruction limit reached!
% 23.05/3.67 % (747076)------------------------------
% 23.05/3.67 % (747076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.67 % (747076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.67 % (747076)CaDiCaL version: 2.1.3
% 23.05/3.67 % (747076)Termination reason: Instruction limit
% 23.05/3.67 % (747076)Termination phase: Saturation
% 23.05/3.67 % (747076)Time elapsed: 0.223 s
% 23.05/3.67 % (747076)Peak memory usage: 14 MB
% 23.05/3.67 % (747076)Instructions burned: 447 (million)
% 23.05/3.67 % (747096)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 23.05/3.67 % (747096)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=3240121714:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2967 on theBenchmark for (2967ds/244Mi)
% 23.45/3.79 % (747096)Refutation not found, incomplete strategy
% 23.45/3.79 % (747096)------------------------------
% 23.45/3.79 % (747096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/3.79 % (747096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/3.79 % (747096)CaDiCaL version: 2.1.3
% 23.45/3.79 % (747096)Termination reason: Refutation not found, incomplete strategy
% 23.45/3.79 % (747096)Time elapsed: 0.001 s
% 23.45/3.79 % (747096)Peak memory usage: 11 MB
% 23.45/3.79 % (747096)Instructions burned: 3 (million)
% 23.45/3.79 % (747096)------------------------------
% 23.45/3.79 % (747096)------------------------------
% 23.45/3.79 % (747097)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=908136407:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/113Mi)
% 23.45/3.79 % (747097)Refutation not found, incomplete strategy
% 23.45/3.79 % (747097)------------------------------
% 23.45/3.79 % (747097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/3.79 % (747097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/3.79 % (747097)CaDiCaL version: 2.1.3
% 23.45/3.79 % (747097)Termination reason: Refutation not found, incomplete strategy
% 23.45/3.79 % (747097)Time elapsed: 0.002 s
% 23.45/3.79 % (747097)Peak memory usage: 12 MB
% 23.45/3.79 % (747097)Instructions burned: 2 (million)
% 23.45/3.79 % (747097)------------------------------
% 23.45/3.79 % (747097)------------------------------
% 23.45/3.79 % (747099)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1099292008:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/7795Mi)
% 23.45/3.79 % (747099)Refutation not found, incomplete strategy
% 23.45/3.79 % (747099)------------------------------
% 23.45/3.79 % (747099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/3.79 % (747099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/3.79 % (747099)CaDiCaL version: 2.1.3
% 23.45/3.79 % (747099)Termination reason: Refutation not found, incomplete strategy
% 23.45/3.79 % (747099)Time elapsed: 0.001 s
% 23.45/3.79 % (747099)Peak memory usage: 11 MB
% 23.45/3.79 % (747099)Instructions burned: 1 (million)
% 23.45/3.79 % (747099)------------------------------
% 23.45/3.79 % (747099)------------------------------
% 23.45/3.79 % (747101)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4020378146:st=2:i=5026:sd=1:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/5026Mi)
% 23.45/3.79 % (747101)Refutation not found, incomplete strategy
% 23.45/3.79 % (747101)------------------------------
% 23.45/3.79 % (747101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/3.79 % (747101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/3.79 % (747101)CaDiCaL version: 2.1.3
% 23.45/3.79 % (747101)Termination reason: Refutation not found, incomplete strategy
% 23.45/3.79 % (747101)Time elapsed: 0.0000 s
% 23.45/3.79 % (747101)Peak memory usage: 12 MB
% 23.45/3.79 % (747101)Instructions burned: 1 (million)
% 23.45/3.79 % (747101)------------------------------
% 23.45/3.79 % (747101)------------------------------
% 23.45/3.79 % (747103)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 23.45/3.79 % (747105)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=216861712:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/1144Mi)
% 23.45/3.79 % (747103)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=987375315:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2967 on theBenchmark for (2967ds/763Mi)
% 23.45/3.79 % (747105)Refutation not found, incomplete strategy
% 23.45/3.79 % (747105)------------------------------
% 23.45/3.79 % (747105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.45/3.79 % (747105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.45/3.79 % (747105)CaDiCaL version: 2.1.3
% 23.45/3.79 % (747105)Termination reason: Refutation not found, incomplete strategy
% 23.45/3.79 % (747105)Time elapsed: 0.0000 s
% 23.45/3.79 % (747105)Peak memory usage: 11 MB
% 23.45/3.79 % (747105)Instructions burned: 1 (million)
% 23.45/3.79 % (747105)------------------------------
% 23.45/3.79 % (747105)------------------------------
% 23.45/3.79 % (747103)Refutation not found, incomplete strategy
% 23.45/3.79 % (747103)------------------------------
% 23.45/3.79 % (747103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.41/4.10 % (747103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.41/4.10 % (747103)CaDiCaL version: 2.1.3
% 26.41/4.10 % (747103)Termination reason: Refutation not found, incomplete strategy
% 26.41/4.10 % (747103)Time elapsed: 0.001 s
% 26.41/4.10 % (747103)Peak memory usage: 11 MB
% 26.41/4.10 % (747103)Instructions burned: 1 (million)
% 26.41/4.10 % (747103)------------------------------
% 26.41/4.10 % (747103)------------------------------
% 26.41/4.10 % (747108)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 26.41/4.10 % (747108)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=1598426213:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2966 on theBenchmark for (2966ds/52Mi)
% 26.41/4.10 % (747109)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2878647936:i=1724:fsr=off:rtra=on:fe=abstraction_2966 on theBenchmark for (2966ds/1724Mi)
% 26.41/4.10 % (747108)Instruction limit reached!
% 26.41/4.10 % (747108)------------------------------
% 26.41/4.10 % (747108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.41/4.10 % (747108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.41/4.10 % (747108)CaDiCaL version: 2.1.3
% 26.41/4.10 % (747108)Termination reason: Instruction limit
% 26.41/4.10 % (747108)Termination phase: Saturation
% 26.41/4.10 % (747108)Time elapsed: 0.011 s
% 26.41/4.10 % (747108)Peak memory usage: 12 MB
% 26.41/4.10 % (747108)Instructions burned: 53 (million)
% 26.41/4.10 % (747112)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=604366431:i=439:add=on:slsql=off:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/439Mi)
% 26.41/4.10 % (746706)Instruction limit reached!
% 26.41/4.10 % (746706)------------------------------
% 26.41/4.10 % (746706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.41/4.10 % (746706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.41/4.10 % (746706)CaDiCaL version: 2.1.3
% 26.41/4.10 % (746706)Termination reason: Instruction limit
% 26.41/4.10 % (746706)Termination phase: Saturation
% 26.41/4.10 % (746706)Time elapsed: 2.720 s
% 26.41/4.10 % (746706)Peak memory usage: 16 MB
% 26.41/4.10 % (746706)Instructions burned: 9843 (million)
% 26.41/4.10 % (747112)Instruction limit reached!
% 26.41/4.10 % (747112)------------------------------
% 26.41/4.10 % (747112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.41/4.10 % (747112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.41/4.10 % (747112)CaDiCaL version: 2.1.3
% 26.41/4.10 % (747112)Termination reason: Instruction limit
% 26.41/4.10 % (747112)Termination phase: Saturation
% 26.41/4.10 % (747112)Time elapsed: 0.075 s
% 26.41/4.10 % (747112)Peak memory usage: 12 MB
% 26.41/4.10 % (747112)Instructions burned: 442 (million)
% 26.41/4.10 % (747115)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 26.41/4.10 % (747115)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=1002746203:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2965 on theBenchmark for (2965ds/6762Mi)
% 26.41/4.10 % (747115)Refutation not found, incomplete strategy
% 26.41/4.10 % (747115)------------------------------
% 26.41/4.10 % (747115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.41/4.10 % (747115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.41/4.10 % (747115)CaDiCaL version: 2.1.3
% 26.41/4.10 % (747115)Termination reason: Refutation not found, incomplete strategy
% 26.41/4.10 % (747115)Time elapsed: 0.0000 s
% 26.41/4.10 % (747115)Peak memory usage: 11 MB
% 26.41/4.10 % (747115)Instructions burned: 1 (million)
% 26.41/4.10 % (747115)------------------------------
% 26.41/4.10 % (747115)------------------------------
% 26.41/4.10 % (747114)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3464592380:i=6395:sd=1:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/6395Mi)
% 26.41/4.10 % (747114)Refutation not found, incomplete strategy
% 26.41/4.10 % (747114)------------------------------
% 26.41/4.10 % (747114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.41/4.10 % (747114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.41/4.10 % (747114)CaDiCaL version: 2.1.3
% 27.91/4.34 % (747114)Termination reason: Refutation not found, incomplete strategy
% 27.91/4.34 % (747114)Time elapsed: 0.001 s
% 27.91/4.34 % (747114)Peak memory usage: 11 MB
% 27.91/4.34 % (747114)Instructions burned: 1 (million)
% 27.91/4.34 % (747114)------------------------------
% 27.91/4.34 % (747114)------------------------------
% 27.91/4.34 % (747117)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 27.91/4.34 % (747117)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=917166678:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2965 on theBenchmark for (2965ds/376Mi)
% 27.91/4.34 % (747119)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=508095715:i=965:bd=all:ins=4:rtra=on_2965 on theBenchmark for (2965ds/965Mi)
% 27.91/4.34 % (747090)Instruction limit reached!
% 27.91/4.34 % (747090)------------------------------
% 27.91/4.34 % (747090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.91/4.34 % (747090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.91/4.34 % (747090)CaDiCaL version: 2.1.3
% 27.91/4.34 % (747090)Termination reason: Instruction limit
% 27.91/4.34 % (747090)Termination phase: Saturation
% 27.91/4.34 % (747090)Time elapsed: 0.255 s
% 27.91/4.34 % (747090)Peak memory usage: 12 MB
% 27.91/4.34 % (747090)Instructions burned: 592 (million)
% 27.91/4.34 % (747122)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1832582580:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/5013Mi)
% 27.91/4.34 % (747122)Refutation not found, incomplete strategy
% 27.91/4.34 % (747122)------------------------------
% 27.91/4.34 % (747122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.91/4.34 % (747122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.91/4.34 % (747122)CaDiCaL version: 2.1.3
% 27.91/4.34 % (747122)Termination reason: Refutation not found, incomplete strategy
% 27.91/4.34 % (747122)Time elapsed: 0.001 s
% 27.91/4.34 % (747122)Peak memory usage: 11 MB
% 27.91/4.34 % (747122)Instructions burned: 1 (million)
% 27.91/4.34 % (747122)------------------------------
% 27.91/4.34 % (747122)------------------------------
% 27.91/4.34 % (747124)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=1895198632:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2965 on theBenchmark for (2965ds/1583Mi)
% 27.91/4.34 % (747117)Instruction limit reached!
% 27.91/4.34 % (747117)------------------------------
% 27.91/4.34 % (747117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.91/4.34 % (747117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.91/4.34 % (747117)CaDiCaL version: 2.1.3
% 27.91/4.34 % (747117)Termination reason: Instruction limit
% 27.91/4.34 % (747117)Termination phase: Saturation
% 27.91/4.34 % (747117)Time elapsed: 0.103 s
% 27.91/4.34 % (747117)Peak memory usage: 14 MB
% 27.91/4.34 % (747117)Instructions burned: 377 (million)
% 27.91/4.34 % (747126)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 27.91/4.34 % (747126)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 27.91/4.34 % (747126)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 27.91/4.34 % (747126)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 27.91/4.34 % (747126)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=3699408472:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2964 on theBenchmark for (2964ds/1774Mi)
% 27.91/4.34 % (747126)Refutation not found, incomplete strategy
% 27.91/4.34 % (747126)------------------------------
% 27.91/4.34 % (747126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.91/4.34 % (747126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.91/4.34 % (747126)CaDiCaL version: 2.1.3
% 27.91/4.34 % (747126)Termination reason: Refutation not found, incomplete strategy
% 28.92/4.54 % (747126)Time elapsed: 0.0000 s
% 28.92/4.54 % (747126)Peak memory usage: 11 MB
% 28.92/4.54 % (747126)Instructions burned: 1 (million)
% 28.92/4.54 % (747126)------------------------------
% 28.92/4.54 % (747126)------------------------------
% 28.92/4.54 % (747128)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2720690703:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/515Mi)
% 28.92/4.54 % (747128)Refutation not found, incomplete strategy
% 28.92/4.54 % (747128)------------------------------
% 28.92/4.54 % (747128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.92/4.54 % (747128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.92/4.54 % (747128)CaDiCaL version: 2.1.3
% 28.92/4.54 % (747128)Termination reason: Refutation not found, incomplete strategy
% 28.92/4.54 % (747128)Time elapsed: 0.0000 s
% 28.92/4.54 % (747128)Peak memory usage: 12 MB
% 28.92/4.54 % (747128)Instructions burned: 1 (million)
% 28.92/4.54 % (747128)------------------------------
% 28.92/4.54 % (747128)------------------------------
% 28.92/4.54 % (747130)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 28.92/4.54 % (747130)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=729842292:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2964 on theBenchmark for (2964ds/1297Mi)
% 28.92/4.54 % (747094)Instruction limit reached!
% 28.92/4.54 % (747094)------------------------------
% 28.92/4.54 % (747094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.92/4.54 % (747094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.92/4.54 % (747094)CaDiCaL version: 2.1.3
% 28.92/4.54 % (747094)Termination reason: Instruction limit
% 28.92/4.54 % (747094)Termination phase: Saturation
% 28.92/4.54 % (747094)Time elapsed: 0.438 s
% 28.92/4.54 % (747094)Peak memory usage: 14 MB
% 28.92/4.54 % (747094)Instructions burned: 1000 (million)
% 28.92/4.54 % (747132)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=327889205:s2a=on:i=611:rtra=on:gsp=on_2963 on theBenchmark for (2963ds/611Mi)
% 28.92/4.54 % (747132)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 28.92/4.54 % (747130)Instruction limit reached!
% 28.92/4.54 % (747130)------------------------------
% 28.92/4.54 % (747130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.92/4.54 % (747130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.92/4.54 % (747130)CaDiCaL version: 2.1.3
% 28.92/4.54 % (747130)Termination reason: Instruction limit
% 28.92/4.54 % (747130)Termination phase: Saturation
% 28.92/4.54 % (747130)Time elapsed: 0.266 s
% 28.92/4.54 % (747130)Peak memory usage: 13 MB
% 28.92/4.54 % (747130)Instructions burned: 1301 (million)
% 28.92/4.54 % (747119)Instruction limit reached!
% 28.92/4.54 % (747119)------------------------------
% 28.92/4.54 % (747119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.92/4.54 % (747119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.92/4.54 % (747119)CaDiCaL version: 2.1.3
% 28.92/4.54 % (747119)Termination reason: Instruction limit
% 28.92/4.54 % (747119)Termination phase: Saturation
% 28.92/4.54 % (747119)Time elapsed: 0.393 s
% 28.92/4.54 % (747119)Peak memory usage: 15 MB
% 28.92/4.54 % (747119)Instructions burned: 965 (million)
% 28.92/4.54 % (747134)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.92/4.54 % (747134)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1948236049:i=72:bd=all:rtra=on_2961 on theBenchmark for (2961ds/72Mi)
% 28.92/4.54 % (747134)Refutation not found, incomplete strategy
% 28.92/4.54 % (747134)------------------------------
% 28.92/4.54 % (747134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.92/4.54 % (747134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.92/4.54 % (747134)CaDiCaL version: 2.1.3
% 28.92/4.54 % (747134)Termination reason: Refutation not found, incomplete strategy
% 28.92/4.54 % (747134)Time elapsed: 0.001 s
% 28.92/4.54 % (747134)Peak memory usage: 12 MB
% 28.92/4.54 % (747134)Instructions burned: 2 (million)
% 28.92/4.54 % (747134)------------------------------
% 28.92/4.54 % (747134)------------------------------
% 30.08/4.85 % (747135)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=2153690568:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2961 on theBenchmark for (2961ds/6580Mi)
% 30.08/4.85 % (747137)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3183894390:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/6209Mi)
% 30.08/4.85 % (747137)Refutation not found, incomplete strategy
% 30.08/4.85 % (747137)------------------------------
% 30.08/4.85 % (747137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.08/4.85 % (747137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.08/4.85 % (747137)CaDiCaL version: 2.1.3
% 30.08/4.85 % (747137)Termination reason: Refutation not found, incomplete strategy
% 30.08/4.85 % (747137)Time elapsed: 0.0000 s
% 30.08/4.85 % (747137)Peak memory usage: 12 MB
% 30.08/4.85 % (747137)Instructions burned: 1 (million)
% 30.08/4.85 % (747137)------------------------------
% 30.08/4.85 % (747137)------------------------------
% 30.08/4.85 % (747140)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2850503352:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2961 on theBenchmark for (2961ds/1003Mi)
% 30.08/4.85 % (747132)Instruction limit reached!
% 30.08/4.85 % (747132)------------------------------
% 30.08/4.85 % (747132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.08/4.85 % (747132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.08/4.85 % (747132)CaDiCaL version: 2.1.3
% 30.08/4.85 % (747132)Termination reason: Instruction limit
% 30.08/4.85 % (747132)Termination phase: Saturation
% 30.08/4.85 % (747132)Time elapsed: 0.288 s
% 30.08/4.85 % (747132)Peak memory usage: 13 MB
% 30.08/4.85 % (747132)Instructions burned: 612 (million)
% 30.08/4.85 % (747142)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 30.08/4.85 % (747142)ott+1002_16_sil=128000:si=on:random_seed=75038395:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/409Mi)
% 30.08/4.85 % (747109)Instruction limit reached!
% 30.08/4.85 % (747109)------------------------------
% 30.08/4.85 % (747109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.08/4.85 % (747109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.08/4.85 % (747109)CaDiCaL version: 2.1.3
% 30.08/4.85 % (747109)Termination reason: Instruction limit
% 30.08/4.85 % (747109)Termination phase: Saturation
% 30.08/4.85 % (747109)Time elapsed: 0.736 s
% 30.08/4.85 % (747109)Peak memory usage: 13 MB
% 30.08/4.85 % (747109)Instructions burned: 1725 (million)
% 30.08/4.85 % (747140)Instruction limit reached!
% 30.08/4.85 % (747140)------------------------------
% 30.08/4.85 % (747140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.08/4.85 % (747140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.08/4.85 % (747140)CaDiCaL version: 2.1.3
% 30.08/4.85 % (747140)Termination reason: Instruction limit
% 30.08/4.85 % (747140)Termination phase: Saturation
% 30.08/4.85 % (747140)Time elapsed: 0.208 s
% 30.08/4.85 % (747140)Peak memory usage: 13 MB
% 30.08/4.85 % (747140)Instructions burned: 1005 (million)
% 30.08/4.85 % (747144)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=2340325332:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2959 on theBenchmark for (2959ds/403Mi)
% 30.08/4.85 % (747144)Refutation not found, incomplete strategy
% 30.08/4.85 % (747144)------------------------------
% 30.08/4.85 % (747144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.08/4.85 % (747144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.08/4.85 % (747144)CaDiCaL version: 2.1.3
% 30.08/4.85 % (747144)Termination reason: Refutation not found, incomplete strategy
% 30.08/4.85 % (747144)Time elapsed: 0.001 s
% 30.08/4.85 % (747144)Peak memory usage: 11 MB
% 30.08/4.85 % (747144)Instructions burned: 1 (million)
% 30.08/4.85 % (747144)------------------------------
% 30.08/4.85 % (747144)------------------------------
% 30.08/4.85 % (747146)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=2428160609:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2959 on theBenchmark for (2959ds/6843Mi)
% 31.03/5.02 % (747146)Refutation not found, incomplete strategy
% 31.03/5.02 % (747146)------------------------------
% 31.03/5.02 % (747146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.03/5.02 % (747146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.03/5.02 % (747146)CaDiCaL version: 2.1.3
% 31.03/5.02 % (747146)Termination reason: Refutation not found, incomplete strategy
% 31.03/5.02 % (747146)Time elapsed: 0.0000 s
% 31.03/5.02 % (747146)Peak memory usage: 11 MB
% 31.03/5.02 % (747146)Instructions burned: 1 (million)
% 31.03/5.02 % (747146)------------------------------
% 31.03/5.02 % (747146)------------------------------
% 31.03/5.02 % (747147)lrs+10_2:1_si=on:random_seed=718407700:s2a=on:i=506:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/506Mi)
% 31.03/5.02 % (747149)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=4079901271:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2959 on theBenchmark for (2959ds/888Mi)
% 31.03/5.02 % (747142)Instruction limit reached!
% 31.03/5.02 % (747142)------------------------------
% 31.03/5.02 % (747142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.03/5.02 % (747142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.03/5.02 % (747142)CaDiCaL version: 2.1.3
% 31.03/5.02 % (747142)Termination reason: Instruction limit
% 31.03/5.02 % (747142)Termination phase: Saturation
% 31.03/5.02 % (747142)Time elapsed: 0.136 s
% 31.03/5.02 % (747142)Peak memory usage: 13 MB
% 31.03/5.02 % (747142)Instructions burned: 411 (million)
% 31.03/5.02 % (747152)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 31.03/5.02 % (747152)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=538490923:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2958 on theBenchmark for (2958ds/416Mi)
% 31.03/5.02 % (747124)Instruction limit reached!
% 31.03/5.02 % (747124)------------------------------
% 31.03/5.02 % (747124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.03/5.02 % (747124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.03/5.02 % (747124)CaDiCaL version: 2.1.3
% 31.03/5.02 % (747124)Termination reason: Instruction limit
% 31.03/5.02 % (747124)Termination phase: Saturation
% 31.03/5.02 % (747124)Time elapsed: 0.668 s
% 31.03/5.02 % (747124)Peak memory usage: 13 MB
% 31.03/5.02 % (747124)Instructions burned: 1584 (million)
% 31.03/5.02 % (747154)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=3573226437:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2958 on theBenchmark for (2958ds/13534Mi)
% 31.03/5.02 % (747154)Refutation not found, incomplete strategy
% 31.03/5.02 % (747154)------------------------------
% 31.03/5.02 % (747154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.03/5.02 % (747154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.03/5.02 % (747154)CaDiCaL version: 2.1.3
% 31.03/5.02 % (747154)Termination reason: Refutation not found, incomplete strategy
% 31.03/5.02 % (747154)Time elapsed: 0.001 s
% 31.03/5.02 % (747154)Peak memory usage: 11 MB
% 31.03/5.02 % (747154)Instructions burned: 1 (million)
% 31.03/5.02 % (747154)------------------------------
% 31.03/5.02 % (747154)------------------------------
% 31.03/5.02 % (747156)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 31.03/5.02 % (747156)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=1263521213:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2957 on theBenchmark for (2957ds/206Mi)
% 31.03/5.02 % (747149)Instruction limit reached!
% 31.03/5.02 % (747149)------------------------------
% 31.03/5.02 % (747149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.03/5.02 % (747149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.03/5.02 % (747149)CaDiCaL version: 2.1.3
% 31.03/5.02 % (747149)Termination reason: Instruction limit
% 31.03/5.02 % (747149)Termination phase: Saturation
% 31.03/5.02 % (747149)Time elapsed: 0.190 s
% 31.03/5.02 % (747149)Peak memory usage: 13 MB
% 31.03/5.02 % (747149)Instructions burned: 893 (million)
% 35.94/5.50 % (747158)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=2531355514:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2957 on theBenchmark for (2957ds/2295Mi)
% 35.94/5.50 % (747156)Instruction limit reached!
% 35.94/5.50 % (747156)------------------------------
% 35.94/5.50 % (747156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.94/5.50 % (747156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.94/5.50 % (747156)CaDiCaL version: 2.1.3
% 35.94/5.50 % (747156)Termination reason: Instruction limit
% 35.94/5.50 % (747156)Termination phase: Saturation
% 35.94/5.50 % (747156)Time elapsed: 0.093 s
% 35.94/5.50 % (747156)Peak memory usage: 12 MB
% 35.94/5.50 % (747156)Instructions burned: 206 (million)
% 35.94/5.50 % (747045)Instruction limit reached!
% 35.94/5.50 % (747045)------------------------------
% 35.94/5.50 % (747045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.94/5.50 % (747045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.94/5.50 % (747045)CaDiCaL version: 2.1.3
% 35.94/5.50 % (747045)Termination reason: Instruction limit
% 35.94/5.50 % (747045)Termination phase: Saturation
% 35.94/5.50 % (747045)Time elapsed: 1.834 s
% 35.94/5.50 % (747045)Peak memory usage: 16 MB
% 35.94/5.50 % (747045)Instructions burned: 4387 (million)
% 35.94/5.50 % (747147)Instruction limit reached!
% 35.94/5.50 % (747147)------------------------------
% 35.94/5.50 % (747147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.94/5.50 % (747147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.94/5.50 % (747147)CaDiCaL version: 2.1.3
% 35.94/5.50 % (747147)Termination reason: Instruction limit
% 35.94/5.50 % (747147)Termination phase: Saturation
% 35.94/5.50 % (747147)Time elapsed: 0.220 s
% 35.94/5.50 % (747147)Peak memory usage: 12 MB
% 35.94/5.50 % (747147)Instructions burned: 506 (million)
% 35.94/5.50 % (747160)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=3040139827:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2956 on theBenchmark for (2956ds/637Mi)
% 35.94/5.50 % (747161)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=4087483000:hsq=on:i=667:rtra=on:ixr=off_2956 on theBenchmark for (2956ds/667Mi)
% 35.94/5.50 % (747162)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=1774937147:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2956 on theBenchmark for (2956ds/1801Mi)
% 35.94/5.50 % (747152)Instruction limit reached!
% 35.94/5.50 % (747152)------------------------------
% 35.94/5.50 % (747152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.94/5.50 % (747152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.94/5.50 % (747152)CaDiCaL version: 2.1.3
% 35.94/5.50 % (747152)Termination reason: Instruction limit
% 35.94/5.50 % (747152)Termination phase: Saturation
% 35.94/5.50 % (747152)Time elapsed: 0.202 s
% 35.94/5.50 % (747152)Peak memory usage: 14 MB
% 35.94/5.50 % (747152)Instructions burned: 418 (million)
% 35.94/5.50 % (747166)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=1941410297:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2956 on theBenchmark for (2956ds/555Mi)
% 35.94/5.50 % (747166)Instruction limit reached!
% 35.94/5.50 % (747166)------------------------------
% 35.94/5.50 % (747166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.94/5.50 % (747166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.94/5.50 % (747166)CaDiCaL version: 2.1.3
% 35.94/5.50 % (747166)Termination reason: Instruction limit
% 35.94/5.50 % (747166)Termination phase: Saturation
% 35.94/5.50 % (747166)Time elapsed: 0.210 s
% 35.94/5.50 % (747166)Peak memory usage: 11 MB
% 35.94/5.50 % (747166)Instructions burned: 555 (million)
% 35.94/5.50 % (747161)Instruction limit reached!
% 35.94/5.50 % (747161)------------------------------
% 35.94/5.50 % (747161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.94/5.50 % (747161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.94/5.50 % (747161)CaDiCaL version: 2.1.3
% 35.94/5.50 % (747161)Termination reason: Instruction limit
% 35.94/5.50 % (747161)Termination phase: Saturation
% 35.94/5.50 % (747161)Time elapsed: 0.261 s
% 35.94/5.50 % (747161)Peak memory usage: 12 MB
% 35.94/5.50 % (747161)Instructions burned: 668 (million)
% 37.62/5.80 % (747168)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=1534385038:i=88:s2at=3:nm=2:rtra=on:rawr=on_2954 on theBenchmark for (2954ds/88Mi)
% 37.62/5.80 % (747169)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1049781846:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2953 on theBenchmark for (2953ds/280Mi)
% 37.62/5.80 % (747160)Instruction limit reached!
% 37.62/5.80 % (747160)------------------------------
% 37.62/5.80 % (747160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.62/5.80 % (747160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.62/5.80 % (747160)CaDiCaL version: 2.1.3
% 37.62/5.80 % (747160)Termination reason: Instruction limit
% 37.62/5.80 % (747160)Termination phase: Saturation
% 37.62/5.80 % (747160)Time elapsed: 0.301 s
% 37.62/5.80 % (747160)Peak memory usage: 14 MB
% 37.62/5.80 % (747160)Instructions burned: 637 (million)
% 37.62/5.80 % (747172)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=559969809:s2a=on:i=3166:bd=preordered:rtra=on_2953 on theBenchmark for (2953ds/3166Mi)
% 37.62/5.80 % (747168)Instruction limit reached!
% 37.62/5.80 % (747168)------------------------------
% 37.62/5.80 % (747168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.62/5.80 % (747168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.62/5.80 % (747168)CaDiCaL version: 2.1.3
% 37.62/5.80 % (747168)Termination reason: Instruction limit
% 37.62/5.80 % (747168)Termination phase: Saturation
% 37.62/5.80 % (747168)Time elapsed: 0.039 s
% 37.62/5.80 % (747168)Peak memory usage: 12 MB
% 37.62/5.80 % (747168)Instructions burned: 90 (million)
% 37.62/5.80 % (747174)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 37.62/5.80 % (747174)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=3802103492:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2953 on theBenchmark for (2953ds/4201Mi)
% 37.62/5.80 % (747174)Refutation not found, incomplete strategy
% 37.62/5.80 % (747174)------------------------------
% 37.62/5.80 % (747174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.62/5.80 % (747174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.62/5.80 % (747174)CaDiCaL version: 2.1.3
% 37.62/5.80 % (747174)Termination reason: Refutation not found, incomplete strategy
% 37.62/5.80 % (747174)Time elapsed: 0.002 s
% 37.62/5.80 % (747174)Peak memory usage: 12 MB
% 37.62/5.80 % (747174)Instructions burned: 4 (million)
% 37.62/5.80 % (747174)------------------------------
% 37.62/5.80 % (747174)------------------------------
% 37.62/5.80 % (747176)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1542756884:i=2352:rtra=on:ixr=off_2953 on theBenchmark for (2953ds/2352Mi)
% 37.62/5.80 % (747158)Instruction limit reached!
% 37.62/5.80 % (747158)------------------------------
% 37.62/5.80 % (747158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.62/5.80 % (747158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.62/5.80 % (747158)CaDiCaL version: 2.1.3
% 37.62/5.80 % (747158)Termination reason: Instruction limit
% 37.62/5.80 % (747158)Termination phase: Saturation
% 37.62/5.80 % (747158)Time elapsed: 0.455 s
% 37.62/5.80 % (747158)Peak memory usage: 13 MB
% 37.62/5.80 % (747158)Instructions burned: 2303 (million)
% 37.62/5.80 % (747169)Instruction limit reached!
% 37.62/5.80 % (747169)------------------------------
% 37.62/5.80 % (747169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.62/5.80 % (747169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.62/5.80 % (747169)CaDiCaL version: 2.1.3
% 37.62/5.80 % (747169)Termination reason: Instruction limit
% 37.62/5.80 % (747169)Termination phase: Saturation
% 37.62/5.80 % (747169)Time elapsed: 0.140 s
% 37.62/5.80 % (747169)Peak memory usage: 12 MB
% 37.62/5.80 % (747169)Instructions burned: 285 (million)
% 37.62/5.80 % (747178)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 37.62/5.80 % (747178)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=4181726962:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2952 on theBenchmark for (2952ds/452Mi)
% 40.62/6.04 % (747178)Refutation not found, incomplete strategy
% 40.62/6.04 % (747178)------------------------------
% 40.62/6.04 % (747178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.62/6.04 % (747178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.04 % (747178)CaDiCaL version: 2.1.3
% 40.62/6.04 % (747178)Termination reason: Refutation not found, incomplete strategy
% 40.62/6.04 % (747178)Time elapsed: 0.0000 s
% 40.62/6.04 % (747178)Peak memory usage: 12 MB
% 40.62/6.04 % (747178)Instructions burned: 2 (million)
% 40.62/6.04 % (747178)------------------------------
% 40.62/6.04 % (747178)------------------------------
% 40.62/6.04 % (747179)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 40.62/6.04 % (747179)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 40.62/6.04 % (747181)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3809569310:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2952 on theBenchmark for (2952ds/168Mi)
% 40.62/6.04 % (747179)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=2496001136:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2952 on theBenchmark for (2952ds/483Mi)
% 40.62/6.04 % (747179)Refutation not found, incomplete strategy
% 40.62/6.04 % (747179)------------------------------
% 40.62/6.04 % (747179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.62/6.04 % (747179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.04 % (747179)CaDiCaL version: 2.1.3
% 40.62/6.04 % (747179)Termination reason: Refutation not found, incomplete strategy
% 40.62/6.04 % (747179)Time elapsed: 0.001 s
% 40.62/6.04 % (747179)Peak memory usage: 12 MB
% 40.62/6.04 % (747179)Instructions burned: 1 (million)
% 40.62/6.04 % (747179)------------------------------
% 40.62/6.04 % (747179)------------------------------
% 40.62/6.04 % (747184)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=515688784:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2952 on theBenchmark for (2952ds/17240Mi)
% 40.62/6.04 % (747181)Instruction limit reached!
% 40.62/6.04 % (747181)------------------------------
% 40.62/6.04 % (747181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.62/6.04 % (747181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.04 % (747181)CaDiCaL version: 2.1.3
% 40.62/6.04 % (747181)Termination reason: Instruction limit
% 40.62/6.04 % (747181)Termination phase: Saturation
% 40.62/6.04 % (747181)Time elapsed: 0.042 s
% 40.62/6.04 % (747181)Peak memory usage: 13 MB
% 40.62/6.04 % (747181)Instructions burned: 170 (million)
% 40.62/6.04 % (747186)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=1848826592:i=2022:fsr=off:rtra=on:ixr=off_2951 on theBenchmark for (2951ds/2022Mi)
% 40.62/6.04 % (747011)Instruction limit reached!
% 40.62/6.04 % (747011)------------------------------
% 40.62/6.04 % (747011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.62/6.04 % (747011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.04 % (747011)CaDiCaL version: 2.1.3
% 40.62/6.04 % (747011)Termination reason: Instruction limit
% 40.62/6.04 % (747011)Termination phase: Saturation
% 40.62/6.04 % (747011)Time elapsed: 3.211 s
% 40.62/6.04 % (747011)Peak memory usage: 21 MB
% 40.62/6.04 % (747011)Instructions burned: 6361 (million)
% 40.62/6.04 % (747188)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=3232231796:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2947 on theBenchmark for (2947ds/2274Mi)
% 40.62/6.04 % (747162)Instruction limit reached!
% 40.62/6.04 % (747162)------------------------------
% 40.62/6.04 % (747162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.62/6.04 % (747162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.04 % (747162)CaDiCaL version: 2.1.3
% 41.59/6.22 % (747162)Termination reason: Instruction limit
% 41.59/6.22 % (747162)Termination phase: Saturation
% 41.59/6.22 % (747162)Time elapsed: 0.915 s
% 41.59/6.22 % (747162)Peak memory usage: 19 MB
% 41.59/6.22 % (747162)Instructions burned: 1801 (million)
% 41.59/6.22 % (747190)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2509721269:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2947 on theBenchmark for (2947ds/555Mi)
% 41.59/6.22 % (747186)Instruction limit reached!
% 41.59/6.22 % (747186)------------------------------
% 41.59/6.22 % (747186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.59/6.22 % (747186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.59/6.22 % (747186)CaDiCaL version: 2.1.3
% 41.59/6.22 % (747186)Termination reason: Instruction limit
% 41.59/6.22 % (747186)Termination phase: Saturation
% 41.59/6.22 % (747186)Time elapsed: 0.458 s
% 41.59/6.22 % (747186)Peak memory usage: 13 MB
% 41.59/6.22 % (747186)Instructions burned: 2023 (million)
% 41.59/6.22 % (747192)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=3247485978:avsq=on:i=2220:rtra=on_2947 on theBenchmark for (2947ds/2220Mi)
% 41.59/6.22 % (747190)Instruction limit reached!
% 41.59/6.22 % (747190)------------------------------
% 41.59/6.22 % (747190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.59/6.22 % (747190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.59/6.22 % (747190)CaDiCaL version: 2.1.3
% 41.59/6.22 % (747190)Termination reason: Instruction limit
% 41.59/6.22 % (747190)Termination phase: Saturation
% 41.59/6.22 % (747190)Time elapsed: 0.196 s
% 41.59/6.22 % (747190)Peak memory usage: 13 MB
% 41.59/6.22 % (747190)Instructions burned: 557 (million)
% 41.59/6.22 % (747194)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3449624829:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2945 on theBenchmark for (2945ds/715Mi)
% 41.59/6.22 % (747194)Refutation not found, incomplete strategy
% 41.59/6.22 % (747194)------------------------------
% 41.59/6.22 % (747194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.59/6.22 % (747194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.59/6.22 % (747194)CaDiCaL version: 2.1.3
% 41.59/6.22 % (747194)Termination reason: Refutation not found, incomplete strategy
% 41.59/6.22 % (747194)Time elapsed: 0.001 s
% 41.59/6.22 % (747194)Peak memory usage: 11 MB
% 41.59/6.22 % (747194)Instructions burned: 2 (million)
% 41.59/6.22 % (747194)------------------------------
% 41.59/6.22 % (747194)------------------------------
% 41.59/6.22 % (747196)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 41.59/6.22 % (747196)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=3151951023:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2945 on theBenchmark for (2945ds/1979Mi)
% 41.59/6.22 % (747196)Refutation not found, incomplete strategy
% 41.59/6.22 % (747196)------------------------------
% 41.59/6.22 % (747196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.59/6.22 % (747196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.59/6.22 % (747196)CaDiCaL version: 2.1.3
% 41.59/6.22 % (747196)Termination reason: Refutation not found, incomplete strategy
% 41.59/6.22 % (747196)Time elapsed: 0.001 s
% 41.59/6.22 % (747196)Peak memory usage: 11 MB
% 41.59/6.22 % (747196)Instructions burned: 1 (million)
% 41.59/6.22 % (747196)------------------------------
% 41.59/6.22 % (747196)------------------------------
% 41.59/6.22 % (747198)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=157534814:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2944 on theBenchmark for (2944ds/28911Mi)
% 41.59/6.22 % (747198)Refutation not found, incomplete strategy
% 41.59/6.22 % (747198)------------------------------
% 41.59/6.22 % (747198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.59/6.22 % (747198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.59/6.22 % (747198)CaDiCaL version: 2.1.3
% 41.59/6.22 % (747198)Termination reason: Refutation not found, incomplete strategy
% 41.59/6.22 % (747198)Time elapsed: 0.001 s
% 41.59/6.22 % (747198)Peak memory usage: 11 MB
% 41.59/6.22 % (747198)Instructions burned: 1 (million)
% 41.59/6.22 % (747198)------------------------------
% 41.59/6.22 % (747198)------------------------------
% 41.59/6.22 % (747200)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=1702240219:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2944 on theBenchmark for (2944ds/414Mi)
% 43.07/6.69 % (747200)Refutation not found, incomplete strategy
% 43.07/6.69 % (747200)------------------------------
% 43.07/6.69 % (747200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.07/6.69 % (747200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.07/6.69 % (747200)CaDiCaL version: 2.1.3
% 43.07/6.69 % (747200)Termination reason: Refutation not found, incomplete strategy
% 43.07/6.69 % (747200)Time elapsed: 0.002 s
% 43.07/6.69 % (747200)Peak memory usage: 12 MB
% 43.07/6.69 % (747200)Instructions burned: 3 (million)
% 43.07/6.69 % (747200)------------------------------
% 43.07/6.69 % (747200)------------------------------
% 43.07/6.69 % (747202)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=512826956:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2944 on theBenchmark for (2944ds/429Mi)
% 43.07/6.69 % (747176)Instruction limit reached!
% 43.07/6.69 % (747176)------------------------------
% 43.07/6.69 % (747176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.07/6.69 % (747176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.07/6.69 % (747176)CaDiCaL version: 2.1.3
% 43.07/6.69 % (747176)Termination reason: Instruction limit
% 43.07/6.69 % (747176)Termination phase: Saturation
% 43.07/6.69 % (747176)Time elapsed: 0.901 s
% 43.07/6.69 % (747176)Peak memory usage: 13 MB
% 43.07/6.69 % (747176)Instructions burned: 2352 (million)
% 43.07/6.69 % (747204)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 43.07/6.69 % (747204)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3229190095:lrd=on:i=841:nm=0:rtra=on_2944 on theBenchmark for (2944ds/841Mi)
% 43.07/6.69 % (747192)Instruction limit reached!
% 43.07/6.69 % (747192)------------------------------
% 43.07/6.69 % (747192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.07/6.69 % (747192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.07/6.69 % (747192)CaDiCaL version: 2.1.3
% 43.07/6.69 % (747192)Termination reason: Instruction limit
% 43.07/6.69 % (747192)Termination phase: Saturation
% 43.07/6.69 % (747192)Time elapsed: 0.364 s
% 43.07/6.69 % (747192)Peak memory usage: 14 MB
% 43.07/6.69 % (747192)Instructions burned: 2223 (million)
% 43.07/6.69 % (747206)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1816509047:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2943 on theBenchmark for (2943ds/445Mi)
% 43.07/6.69 % (747202)Instruction limit reached!
% 43.07/6.69 % (747202)------------------------------
% 43.07/6.69 % (747202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.07/6.69 % (747202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.07/6.69 % (747202)CaDiCaL version: 2.1.3
% 43.07/6.69 % (747202)Termination reason: Instruction limit
% 43.07/6.69 % (747202)Termination phase: Saturation
% 43.07/6.69 % (747202)Time elapsed: 0.194 s
% 43.07/6.69 % (747202)Peak memory usage: 12 MB
% 43.07/6.69 % (747202)Instructions burned: 429 (million)
% 43.07/6.69 % (747208)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=586478168:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2942 on theBenchmark for (2942ds/1324Mi)
% 43.07/6.69 % (747208)Refutation not found, incomplete strategy
% 43.07/6.69 % (747208)------------------------------
% 43.07/6.69 % (747208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.07/6.69 % (747208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.07/6.69 % (747208)CaDiCaL version: 2.1.3
% 43.07/6.69 % (747208)Termination reason: Refutation not found, incomplete strategy
% 43.07/6.69 % (747208)Time elapsed: 0.002 s
% 43.07/6.69 % (747208)Peak memory usage: 12 MB
% 43.07/6.69 % (747208)Instructions burned: 2 (million)
% 43.07/6.69 % (747208)------------------------------
% 43.07/6.69 % (747208)------------------------------
% 43.07/6.69 % (747206)Instruction limit reached!
% 43.07/6.69 % (747206)------------------------------
% 43.07/6.69 % (747206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.07/6.69 % (747206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.75/7.22 % (747206)CaDiCaL version: 2.1.3
% 48.75/7.22 % (747206)Termination reason: Instruction limit
% 48.75/7.22 % (747206)Termination phase: Saturation
% 48.75/7.22 % (747206)Time elapsed: 0.119 s
% 48.75/7.22 % (747206)Peak memory usage: 14 MB
% 48.75/7.22 % (747206)Instructions burned: 448 (million)
% 48.75/7.22 % (747211)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2379482715:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2942 on theBenchmark for (2942ds/4070Mi)
% 48.75/7.22 % (747210)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=2863073463:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2942 on theBenchmark for (2942ds/5401Mi)
% 48.75/7.22 % (747210)Refutation not found, incomplete strategy
% 48.75/7.22 % (747210)------------------------------
% 48.75/7.22 % (747210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.75/7.22 % (747210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.75/7.22 % (747210)CaDiCaL version: 2.1.3
% 48.75/7.22 % (747210)Termination reason: Refutation not found, incomplete strategy
% 48.75/7.22 % (747210)Time elapsed: 0.001 s
% 48.75/7.22 % (747210)Peak memory usage: 11 MB
% 48.75/7.22 % (747210)Instructions burned: 1 (million)
% 48.75/7.22 % (747210)------------------------------
% 48.75/7.22 % (747210)------------------------------
% 48.75/7.22 % (747214)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1028258492:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2941 on theBenchmark for (2941ds/984Mi)
% 48.75/7.22 % (747214)Refutation not found, incomplete strategy
% 48.75/7.22 % (747214)------------------------------
% 48.75/7.22 % (747214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.75/7.22 % (747214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.75/7.22 % (747214)CaDiCaL version: 2.1.3
% 48.75/7.22 % (747214)Termination reason: Refutation not found, incomplete strategy
% 48.75/7.22 % (747214)Time elapsed: 0.001 s
% 48.75/7.22 % (747214)Peak memory usage: 12 MB
% 48.75/7.22 % (747214)Instructions burned: 2 (million)
% 48.75/7.22 % (747214)------------------------------
% 48.75/7.22 % (747214)------------------------------
% 48.75/7.22 % (747216)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1689105595:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2941 on theBenchmark for (2941ds/112Mi)
% 48.75/7.22 % (747216)Refutation not found, incomplete strategy
% 48.75/7.22 % (747216)------------------------------
% 48.75/7.22 % (747216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.75/7.22 % (747216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.75/7.22 % (747216)CaDiCaL version: 2.1.3
% 48.75/7.22 % (747216)Termination reason: Refutation not found, incomplete strategy
% 48.75/7.22 % (747216)Time elapsed: 0.001 s
% 48.75/7.22 % (747216)Peak memory usage: 12 MB
% 48.75/7.22 % (747216)Instructions burned: 2 (million)
% 48.75/7.22 % (747216)------------------------------
% 48.75/7.22 % (747216)------------------------------
% 48.75/7.22 % (747218)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1550132060:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2941 on theBenchmark for (2941ds/1144Mi)
% 48.75/7.22 % (747218)Refutation not found, incomplete strategy
% 48.75/7.22 % (747218)------------------------------
% 48.75/7.22 % (747218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.75/7.22 % (747218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.75/7.22 % (747218)CaDiCaL version: 2.1.3
% 48.75/7.22 % (747218)Termination reason: Refutation not found, incomplete strategy
% 48.75/7.22 % (747218)Time elapsed: 0.001 s
% 48.75/7.22 % (747218)Peak memory usage: 11 MB
% 48.75/7.22 % (747218)Instructions burned: 1 (million)
% 48.75/7.22 % (747218)------------------------------
% 48.75/7.22 % (747218)------------------------------
% 48.75/7.22 % (747220)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=4108017700:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2941 on theBenchmark for (2941ds/1352Mi)
% 48.75/7.22 % (747172)Instruction limit reached!
% 48.75/7.22 % (747172)------------------------------
% 48.75/7.22 % (747172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.75/7.22 % (747172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.75/7.22 % (747172)CaDiCaL version: 2.1.3
% 48.75/7.22 % (747172)Termination reason: Instruction limit
% 54.82/8.07 % (747172)Termination phase: Saturation
% 54.82/8.07 % (747172)Time elapsed: 1.317 s
% 54.82/8.07 % (747172)Peak memory usage: 14 MB
% 54.82/8.07 % (747172)Instructions burned: 3167 (million)
% 54.82/8.07 % (747204)Instruction limit reached!
% 54.82/8.07 % (747204)------------------------------
% 54.82/8.07 % (747204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.82/8.07 % (747204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.82/8.07 % (747204)CaDiCaL version: 2.1.3
% 54.82/8.07 % (747204)Termination reason: Instruction limit
% 54.82/8.07 % (747204)Termination phase: Saturation
% 54.82/8.07 % (747204)Time elapsed: 0.367 s
% 54.82/8.07 % (747204)Peak memory usage: 13 MB
% 54.82/8.07 % (747204)Instructions burned: 843 (million)
% 54.82/8.07 % (747222)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=3134946977:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2940 on theBenchmark for (2940ds/693Mi)
% 54.82/8.07 % (747223)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=2811382740:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2940 on theBenchmark for (2940ds/908Mi)
% 54.82/8.07 % (747188)Instruction limit reached!
% 54.82/8.07 % (747188)------------------------------
% 54.82/8.07 % (747188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.82/8.07 % (747188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.82/8.07 % (747188)CaDiCaL version: 2.1.3
% 54.82/8.07 % (747188)Termination reason: Instruction limit
% 54.82/8.07 % (747188)Termination phase: Saturation
% 54.82/8.07 % (747188)Time elapsed: 0.986 s
% 54.82/8.07 % (747188)Peak memory usage: 15 MB
% 54.82/8.07 % (747188)Instructions burned: 2274 (million)
% 54.82/8.07 % (747226)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=3224572976:i=6901:add=on:slsql=off:rtra=on:ntd=on_2937 on theBenchmark for (2937ds/6901Mi)
% 54.82/8.07 % (747222)Instruction limit reached!
% 54.82/8.07 % (747222)------------------------------
% 54.82/8.07 % (747222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.82/8.07 % (747222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.82/8.07 % (747222)CaDiCaL version: 2.1.3
% 54.82/8.07 % (747222)Termination reason: Instruction limit
% 54.82/8.07 % (747222)Termination phase: Saturation
% 54.82/8.07 % (747222)Time elapsed: 0.276 s
% 54.82/8.07 % (747222)Peak memory usage: 12 MB
% 54.82/8.07 % (747222)Instructions burned: 693 (million)
% 54.82/8.07 % (747228)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1819973221:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2937 on theBenchmark for (2937ds/3621Mi)
% 54.82/8.07 % (747220)Instruction limit reached!
% 54.82/8.07 % (747220)------------------------------
% 54.82/8.07 % (747220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.82/8.07 % (747220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.82/8.07 % (747220)CaDiCaL version: 2.1.3
% 54.82/8.07 % (747220)Termination reason: Instruction limit
% 54.82/8.07 % (747220)Termination phase: Saturation
% 54.82/8.07 % (747220)Time elapsed: 0.512 s
% 54.82/8.07 % (747220)Peak memory usage: 12 MB
% 54.82/8.07 % (747220)Instructions burned: 1353 (million)
% 54.82/8.07 % (747230)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=993662292:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2935 on theBenchmark for (2935ds/1160Mi)
% 54.82/8.07 % (747230)Refutation not found, incomplete strategy
% 54.82/8.07 % (747230)------------------------------
% 54.82/8.07 % (747230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.82/8.07 % (747230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.82/8.07 % (747230)CaDiCaL version: 2.1.3
% 54.82/8.07 % (747230)Termination reason: Refutation not found, incomplete strategy
% 54.82/8.07 % (747230)Time elapsed: 0.002 s
% 54.82/8.07 % (747230)Peak memory usage: 11 MB
% 54.82/8.07 % (747230)Instructions burned: 3 (million)
% 54.82/8.07 % (747230)------------------------------
% 54.82/8.07 % (747230)------------------------------
% 54.82/8.07 % (747223)Instruction limit reached!
% 54.82/8.07 % (747223)------------------------------
% 54.82/8.07 % (747223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.82/8.07 % (747223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.45/8.94 % (747223)CaDiCaL version: 2.1.3
% 59.45/8.94 % (747223)Termination reason: Instruction limit
% 59.45/8.94 % (747223)Termination phase: Saturation
% 59.45/8.94 % (747223)Time elapsed: 0.438 s
% 59.45/8.94 % (747223)Peak memory usage: 15 MB
% 59.45/8.94 % (747223)Instructions burned: 909 (million)
% 59.45/8.94 % (747232)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=1719515152:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2935 on theBenchmark for (2935ds/570Mi)
% 59.45/8.94 % (747233)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=3332392180:i=324:bd=all:ins=4:rtra=on_2935 on theBenchmark for (2935ds/324Mi)
% 59.45/8.94 % (747233)Instruction limit reached!
% 59.45/8.94 % (747233)------------------------------
% 59.45/8.94 % (747233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.45/8.94 % (747233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.45/8.94 % (747233)CaDiCaL version: 2.1.3
% 59.45/8.94 % (747233)Termination reason: Instruction limit
% 59.45/8.94 % (747233)Termination phase: Saturation
% 59.45/8.94 % (747233)Time elapsed: 0.143 s
% 59.45/8.94 % (747233)Peak memory usage: 14 MB
% 59.45/8.94 % (747233)Instructions burned: 326 (million)
% 59.45/8.94 % (747236)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=1093571916:s2a=on:i=5712:rtra=on_2933 on theBenchmark for (2933ds/5712Mi)
% 59.45/8.94 % (747232)Instruction limit reached!
% 59.45/8.94 % (747232)------------------------------
% 59.45/8.94 % (747232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.45/8.94 % (747232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.45/8.94 % (747232)CaDiCaL version: 2.1.3
% 59.45/8.94 % (747232)Termination reason: Instruction limit
% 59.45/8.94 % (747232)Termination phase: Saturation
% 59.45/8.94 % (747232)Time elapsed: 0.217 s
% 59.45/8.94 % (747232)Peak memory usage: 13 MB
% 59.45/8.94 % (747232)Instructions burned: 570 (million)
% 59.45/8.94 % (747238)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 59.45/8.94 % (747238)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 59.45/8.94 % (747238)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=4048604618:i=901:rtra=on:fsd=on_2933 on theBenchmark for (2933ds/901Mi)
% 59.45/8.94 % (747211)Instruction limit reached!
% 59.45/8.94 % (747211)------------------------------
% 59.45/8.94 % (747211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.45/8.94 % (747211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.45/8.94 % (747211)CaDiCaL version: 2.1.3
% 59.45/8.94 % (747211)Termination reason: Instruction limit
% 59.45/8.94 % (747211)Termination phase: Saturation
% 59.45/8.94 % (747211)Time elapsed: 0.944 s
% 59.45/8.94 % (747211)Peak memory usage: 18 MB
% 59.45/8.94 % (747211)Instructions burned: 4072 (million)
% 59.45/8.94 % (747240)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2188661335:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2932 on theBenchmark for (2932ds/2961Mi)
% 59.45/8.94 % (747240)Refutation not found, incomplete strategy
% 59.45/8.94 % (747240)------------------------------
% 59.45/8.94 % (747240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.45/8.94 % (747240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.45/8.94 % (747240)CaDiCaL version: 2.1.3
% 59.45/8.94 % (747240)Termination reason: Refutation not found, incomplete strategy
% 59.45/8.94 % (747240)Time elapsed: 0.001 s
% 59.45/8.94 % (747240)Peak memory usage: 12 MB
% 59.45/8.94 % (747240)Instructions burned: 1 (million)
% 59.45/8.94 % (747240)------------------------------
% 59.45/8.94 % (747240)------------------------------
% 59.45/8.94 % (747242)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=901865699:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2932 on theBenchmark for (2932ds/3526Mi)
% 59.45/8.94 % (747135)Instruction limit reached!
% 64.98/9.62 % (747135)------------------------------
% 64.98/9.62 % (747135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.98/9.62 % (747135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.98/9.62 % (747135)CaDiCaL version: 2.1.3
% 64.98/9.62 % (747135)Termination reason: Instruction limit
% 64.98/9.62 % (747135)Termination phase: Saturation
% 64.98/9.62 % (747135)Time elapsed: 3.110 s
% 64.98/9.62 % (747135)Peak memory usage: 30 MB
% 64.98/9.62 % (747135)Instructions burned: 6581 (million)
% 64.98/9.62 % (747244)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=913464487:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2930 on theBenchmark for (2930ds/3368Mi)
% 64.98/9.62 % (747244)Refutation not found, incomplete strategy
% 64.98/9.62 % (747244)------------------------------
% 64.98/9.62 % (747244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.98/9.62 % (747244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.98/9.62 % (747244)CaDiCaL version: 2.1.3
% 64.98/9.62 % (747244)Termination reason: Refutation not found, incomplete strategy
% 64.98/9.62 % (747244)Time elapsed: 0.001 s
% 64.98/9.62 % (747244)Peak memory usage: 11 MB
% 64.98/9.62 % (747244)Instructions burned: 1 (million)
% 64.98/9.62 % (747244)------------------------------
% 64.98/9.62 % (747244)------------------------------
% 64.98/9.62 % (747246)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=3329465418:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2930 on theBenchmark for (2930ds/20626Mi)
% 64.98/9.62 % (747238)Instruction limit reached!
% 64.98/9.62 % (747238)------------------------------
% 64.98/9.62 % (747238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.98/9.62 % (747238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.98/9.62 % (747238)CaDiCaL version: 2.1.3
% 64.98/9.62 % (747238)Termination reason: Instruction limit
% 64.98/9.62 % (747238)Termination phase: Saturation
% 64.98/9.62 % (747238)Time elapsed: 0.340 s
% 64.98/9.62 % (747238)Peak memory usage: 12 MB
% 64.98/9.62 % (747238)Instructions burned: 903 (million)
% 64.98/9.62 % (747248)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1350172596:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2929 on theBenchmark for (2929ds/27154Mi)
% 64.98/9.62 % (747236)Instruction limit reached!
% 64.98/9.62 % (747236)------------------------------
% 64.98/9.62 % (747236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.98/9.62 % (747236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.98/9.62 % (747236)CaDiCaL version: 2.1.3
% 64.98/9.62 % (747236)Termination reason: Instruction limit
% 64.98/9.62 % (747236)Termination phase: Saturation
% 64.98/9.62 % (747236)Time elapsed: 1.147 s
% 64.98/9.62 % (747236)Peak memory usage: 15 MB
% 64.98/9.62 % (747236)Instructions burned: 5715 (million)
% 64.98/9.62 % (747250)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2198148564:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2922 on theBenchmark for (2922ds/515Mi)
% 64.98/9.62 % (747250)Refutation not found, incomplete strategy
% 64.98/9.62 % (747250)------------------------------
% 64.98/9.62 % (747250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.98/9.62 % (747250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.98/9.62 % (747250)CaDiCaL version: 2.1.3
% 64.98/9.62 % (747250)Termination reason: Refutation not found, incomplete strategy
% 64.98/9.62 % (747250)Time elapsed: 0.0000 s
% 64.98/9.62 % (747250)Peak memory usage: 12 MB
% 64.98/9.62 % (747250)Instructions burned: 1 (million)
% 64.98/9.62 % (747250)------------------------------
% 64.98/9.62 % (747250)------------------------------
% 64.98/9.62 % (747252)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1009709585:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2922 on theBenchmark for (2922ds/2653Mi)
% 64.98/9.62 % (747228)Instruction limit reached!
% 64.98/9.62 % (747228)------------------------------
% 64.98/9.62 % (747228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.98/9.62 % (747228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.98/9.62 % (747228)CaDiCaL version: 2.1.3
% 64.98/9.62 % (747228)Termination reason: Instruction limit
% 64.98/9.62 % (747228)Termination phase: Saturation
% 64.98/9.62 % (747228)Time elapsed: 1.534 s
% 64.98/9.62 % (747228)Peak memory usage: 16 MB
% 64.98/9.62 % (747228)Instructions burned: 3623 (million)
% 66.99/9.85 % (747254)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 66.99/9.85 % (747254)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=2106859236:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2921 on theBenchmark for (2921ds/1297Mi)
% 66.99/9.85 % (747242)Instruction limit reached!
% 66.99/9.85 % (747242)------------------------------
% 66.99/9.85 % (747242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.99/9.85 % (747242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.99/9.85 % (747242)CaDiCaL version: 2.1.3
% 66.99/9.85 % (747242)Termination reason: Instruction limit
% 66.99/9.85 % (747242)Termination phase: Saturation
% 66.99/9.85 % (747242)Time elapsed: 1.078 s
% 66.99/9.85 % (747242)Peak memory usage: 15 MB
% 66.99/9.85 % (747242)Instructions burned: 3526 (million)
% 66.99/9.85 % (747256)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=1673763313:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2921 on theBenchmark for (2921ds/1950Mi)
% 66.99/9.85 % (747254)Instruction limit reached!
% 66.99/9.85 % (747254)------------------------------
% 66.99/9.85 % (747254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.99/9.85 % (747254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.99/9.85 % (747254)CaDiCaL version: 2.1.3
% 66.99/9.85 % (747254)Termination reason: Instruction limit
% 66.99/9.85 % (747254)Termination phase: Saturation
% 66.99/9.85 % (747254)Time elapsed: 0.508 s
% 66.99/9.85 % (747254)Peak memory usage: 13 MB
% 66.99/9.85 % (747254)Instructions burned: 1297 (million)
% 66.99/9.85 % (747258)dis+1010_1_anc=none:to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=arity:lma=off:urr=on:bce=on:nwc=20:br=off:avsqc=1:random_seed=1844093273:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2916 on theBenchmark for (2916ds/2818Mi)
% 66.99/9.85 % (747226)Instruction limit reached!
% 66.99/9.85 % (747226)------------------------------
% 66.99/9.85 % (747226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.99/9.85 % (747226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.99/9.85 % (747226)CaDiCaL version: 2.1.3
% 66.99/9.85 % (747226)Termination reason: Instruction limit
% 66.99/9.85 % (747226)Termination phase: Saturation
% 66.99/9.85 % (747226)Time elapsed: 2.150 s
% 66.99/9.85 % (747226)Peak memory usage: 13 MB
% 66.99/9.85 % (747226)Instructions burned: 6904 (million)
% 66.99/9.85 % (747260)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=1459235869:s2a=on:i=573:rtra=on:gsp=on_2916 on theBenchmark for (2916ds/573Mi)
% 66.99/9.85 % (747260)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 66.99/9.85 % (747252)Instruction limit reached!
% 66.99/9.85 % (747252)------------------------------
% 66.99/9.85 % (747252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.99/9.85 % (747252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.99/9.85 % (747252)CaDiCaL version: 2.1.3
% 66.99/9.85 % (747252)Termination reason: Instruction limit
% 66.99/9.85 % (747252)Termination phase: Saturation
% 66.99/9.85 % (747252)Time elapsed: 0.643 s
% 66.99/9.85 % (747252)Peak memory usage: 18 MB
% 66.99/9.85 % (747252)Instructions burned: 2655 (million)
% 66.99/9.85 % (747262)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=3403540790:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2915 on theBenchmark for (2915ds/9598Mi)
% 66.99/9.85 % (747260)Instruction limit reached!
% 66.99/9.85 % (747260)------------------------------
% 66.99/9.85 % (747260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.99/9.85 % (747260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.99/9.85 % (747260)CaDiCaL version: 2.1.3
% 66.99/9.85 % (747260)Termination reason: Instruction limit
% 66.99/9.85 % (747260)Termination phase: Saturation
% 66.99/9.85 % (747260)Time elapsed: 0.274 s
% 66.99/9.85 % (747260)Peak memory usage: 13 MB
% 66.99/9.85 % (747260)Instructions burned: 575 (million)
% 66.99/9.85 % (747264)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 71.35/10.47 % (747264)ott+1002_16_sil=128000:si=on:random_seed=3279345469:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2913 on theBenchmark for (2913ds/409Mi)
% 71.35/10.47 % (747264)Instruction limit reached!
% 71.35/10.47 % (747264)------------------------------
% 71.35/10.47 % (747264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747264)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747264)Termination reason: Instruction limit
% 71.35/10.47 % (747264)Termination phase: Saturation
% 71.35/10.47 % (747264)Time elapsed: 0.131 s
% 71.35/10.47 % (747264)Peak memory usage: 12 MB
% 71.35/10.47 % (747264)Instructions burned: 410 (million)
% 71.35/10.47 % (747266)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=2691889774:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2911 on theBenchmark for (2911ds/403Mi)
% 71.35/10.47 % (747266)Refutation not found, incomplete strategy
% 71.35/10.47 % (747266)------------------------------
% 71.35/10.47 % (747266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747266)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747266)Termination reason: Refutation not found, incomplete strategy
% 71.35/10.47 % (747266)Time elapsed: 0.001 s
% 71.35/10.47 % (747266)Peak memory usage: 11 MB
% 71.35/10.47 % (747266)Instructions burned: 1 (million)
% 71.35/10.47 % (747266)------------------------------
% 71.35/10.47 % (747266)------------------------------
% 71.35/10.47 % (747256)Instruction limit reached!
% 71.35/10.47 % (747256)------------------------------
% 71.35/10.47 % (747256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747256)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747256)Termination reason: Instruction limit
% 71.35/10.47 % (747256)Termination phase: Saturation
% 71.35/10.47 % (747256)Time elapsed: 0.969 s
% 71.35/10.47 % (747256)Peak memory usage: 17 MB
% 71.35/10.47 % (747256)Instructions burned: 1950 (million)
% 71.35/10.47 % (747268)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3596245365:cond=on:i=1140:rtra=on:ntd=on_2911 on theBenchmark for (2911ds/1140Mi)
% 71.35/10.47 % (747269)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=12788239:i=13574:kws=inv_precedence:rtra=on_2911 on theBenchmark for (2911ds/13574Mi)
% 71.35/10.47 % (747269)Refutation not found, incomplete strategy
% 71.35/10.47 % (747269)------------------------------
% 71.35/10.47 % (747269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747269)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747269)Termination reason: Refutation not found, incomplete strategy
% 71.35/10.47 % (747269)Time elapsed: 0.001 s
% 71.35/10.47 % (747269)Peak memory usage: 12 MB
% 71.35/10.47 % (747269)Instructions burned: 2 (million)
% 71.35/10.47 % (747269)------------------------------
% 71.35/10.47 % (747269)------------------------------
% 71.35/10.47 % (747272)lrs+10_2:1_si=on:random_seed=3631508721:s2a=on:i=1055:rtra=on:fe=abstraction_2911 on theBenchmark for (2911ds/1055Mi)
% 71.35/10.47 % (747272)Instruction limit reached!
% 71.35/10.47 % (747272)------------------------------
% 71.35/10.47 % (747272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747272)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747272)Termination reason: Instruction limit
% 71.35/10.47 % (747272)Termination phase: Saturation
% 71.35/10.47 % (747272)Time elapsed: 0.455 s
% 71.35/10.47 % (747272)Peak memory usage: 13 MB
% 71.35/10.47 % (747272)Instructions burned: 1056 (million)
% 71.35/10.47 % (747274)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 71.35/10.47 % (747268)Instruction limit reached!
% 71.35/10.47 % (747268)------------------------------
% 71.35/10.47 % (747268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747268)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747268)Termination reason: Instruction limit
% 71.35/10.47 % (747268)Termination phase: Saturation
% 71.35/10.47 % (747268)Time elapsed: 0.500 s
% 71.35/10.47 % (747268)Peak memory usage: 13 MB
% 71.35/10.47 % (747268)Instructions burned: 1140 (million)
% 71.35/10.47 % (747274)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=3293335213:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2906 on theBenchmark for (2906ds/416Mi)
% 71.35/10.47 % (747275)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=2865190371:s2a=on:i=8946:bd=preordered:av=off:rtra=on_2906 on theBenchmark for (2906ds/8946Mi)
% 71.35/10.47 % (747184)Instruction limit reached!
% 71.35/10.47 % (747184)------------------------------
% 71.35/10.47 % (747184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747184)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747184)Termination reason: Instruction limit
% 71.35/10.47 % (747184)Termination phase: Saturation
% 71.35/10.47 % (747184)Time elapsed: 4.704 s
% 71.35/10.47 % (747184)Peak memory usage: 18 MB
% 71.35/10.47 % (747184)Instructions burned: 17242 (million)
% 71.35/10.47 % (747278)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2626171175:s2a=on:i=2129:nm=16:rtra=on_2904 on theBenchmark for (2904ds/2129Mi)
% 71.35/10.47 % (747278)Refutation not found, incomplete strategy
% 71.35/10.47 % (747278)------------------------------
% 71.35/10.47 % (747278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747278)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747278)Termination reason: Refutation not found, incomplete strategy
% 71.35/10.47 % (747278)Time elapsed: 0.001 s
% 71.35/10.47 % (747278)Peak memory usage: 12 MB
% 71.35/10.47 % (747278)Instructions burned: 2 (million)
% 71.35/10.47 % (747278)------------------------------
% 71.35/10.47 % (747278)------------------------------
% 71.35/10.47 % (747280)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=738802514:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_2904 on theBenchmark for (2904ds/300Mi)
% 71.35/10.47 % (747274)Instruction limit reached!
% 71.35/10.47 % (747274)------------------------------
% 71.35/10.47 % (747274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747274)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747274)Termination reason: Instruction limit
% 71.35/10.47 % (747274)Termination phase: Saturation
% 71.35/10.47 % (747274)Time elapsed: 0.202 s
% 71.35/10.47 % (747274)Peak memory usage: 13 MB
% 71.35/10.47 % (747274)Instructions burned: 418 (million)
% 71.35/10.47 % (747258)Instruction limit reached!
% 71.35/10.47 % (747258)------------------------------
% 71.35/10.47 % (747258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747258)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747258)Termination reason: Instruction limit
% 71.35/10.47 % (747258)Termination phase: Saturation
% 71.35/10.47 % (747258)Time elapsed: 1.216 s
% 71.35/10.47 % (747258)Peak memory usage: 13 MB
% 71.35/10.47 % (747258)Instructions burned: 2820 (million)
% 71.35/10.47 % (747282)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=4058728701:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_2904 on theBenchmark for (2904ds/11464Mi)
% 71.35/10.47 % (747282)Refutation not found, incomplete strategy
% 71.35/10.47 % (747282)------------------------------
% 71.35/10.47 % (747282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747282)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747282)Termination reason: Refutation not found, incomplete strategy
% 71.35/10.47 % (747282)Time elapsed: 0.002 s
% 71.35/10.47 % (747282)Peak memory usage: 12 MB
% 71.35/10.47 % (747282)Instructions burned: 3 (million)
% 71.35/10.47 % (747282)------------------------------
% 71.35/10.47 % (747282)------------------------------
% 71.35/10.47 % (747283)dis+2_28_to=kbo:tgt=ground:plsq=on:plsqc=3:si=on:sp=unary_first:plsqr=32,1:spb=goal_then_units:uwa=off:fd=preordered:nwc=3:random_seed=3975691825:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_2904 on theBenchmark for (2904ds/11001Mi)
% 71.35/10.47 % (747285)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=709925492:hsq=on:i=662:rtra=on:ixr=off_2903 on theBenchmark for (2903ds/662Mi)
% 71.35/10.47 % (747280)Instruction limit reached!
% 71.35/10.47 % (747280)------------------------------
% 71.35/10.47 % (747280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747280)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747280)Termination reason: Instruction limit
% 71.35/10.47 % (747280)Termination phase: Saturation
% 71.35/10.47 % (747280)Time elapsed: 0.111 s
% 71.35/10.47 % (747280)Peak memory usage: 13 MB
% 71.35/10.47 % (747280)Instructions burned: 300 (million)
% 71.35/10.47 % (747288)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=3392962134:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_2903 on theBenchmark for (2903ds/1714Mi)
% 71.35/10.47 % (747285)Instruction limit reached!
% 71.35/10.47 % (747285)------------------------------
% 71.35/10.47 % (747285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747285)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747285)Termination reason: Instruction limit
% 71.35/10.47 % (747285)Termination phase: Saturation
% 71.35/10.47 % (747285)Time elapsed: 0.255 s
% 71.35/10.47 % (747285)Peak memory usage: 12 MB
% 71.35/10.47 % (747285)Instructions burned: 662 (million)
% 71.35/10.47 % (747290)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=229482217:s2a=on:i=699:add=on:bd=preordered:ins=10:rtra=on_2901 on theBenchmark for (2901ds/699Mi)
% 71.35/10.47 % (747246) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-746531-747246"...
% 71.35/10.47 % (747290)Instruction limit reached!
% 71.35/10.47 % (747290)------------------------------
% 71.35/10.47 % (747290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747290)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747290)Termination reason: Instruction limit
% 71.35/10.47 % (747290)Termination phase: Saturation
% 71.35/10.47 % (747290)Time elapsed: 0.257 s
% 71.35/10.47 % (747290)Peak memory usage: 14 MB
% 71.35/10.47 % (747290)Instructions burned: 704 (million)
% 71.35/10.47 % (747292)lrs+21_1_to=lpo:sil=128000:fde=none:e2e=on:si=on:lma=off:nwc=4:random_seed=1927702567:i=4542:bd=preordered:rtra=on:ss=axioms_2898 on theBenchmark for (2898ds/4542Mi)
% 71.35/10.47 % (747292)Refutation not found, incomplete strategy
% 71.35/10.47 % (747292)------------------------------
% 71.35/10.47 % (747292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.35/10.47 % (747292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.35/10.47 % (747292)CaDiCaL version: 2.1.3
% 71.35/10.47 % (747292)Termination reason: Refutation not found, incomplete strategy
% 71.35/10.47 % (747292)Time elapsed: 0.001 s
% 71.35/10.47 % (747292)Peak memory usage: 11 MB
% 71.35/10.47 % (747292)------------------------------
% 71.35/10.47 % (747292)------------------------------
% 71.35/10.47 % (747294)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=681623975:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2898 on theBenchmark for (2898ds/280Mi)
% 71.35/10.47 % (747246)...printing done.
% 71.35/10.47 % (747246)Refutation found. Thanks to Tanya!
% 71.35/10.47 % SZS status Unsatisfiable for theBenchmark
% 71.35/10.47 % SZS output start Proof for theBenchmark
% See solution above
% 72.23/10.53 % (747246)------------------------------
% 72.23/10.53 % (747246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 72.23/10.53 % (747246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.23/10.53 % (747246)CaDiCaL version: 2.1.3
% 72.23/10.53 % (747246)Termination reason: Refutation
% 72.23/10.53 % (747246)Time elapsed: 3.208 s
% 72.23/10.53 % (747246)Peak memory usage: 23 MB
% 72.23/10.53 % (747246)Instructions burned: 6150 (million)
% 72.23/10.53 % (746531)Success in time 10.265 s
% 72.23/10.53 % Vampire exiting
%------------------------------------------------------------------------------