%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA115^1 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:55:06 AM UTC 2026
% Result : Unsatisfiable 220.49s 31.38s
% Output : Refutation 221.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_5,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_6,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_7,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_11,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( inj
= ( ^ [X0: $i > $i] :
! [X2: $i,X1: $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] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X2: $i,X0: $i,X1: $i,X3: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X2: $i,X4: $i,X3: $i,X0: $i,X1: $i] :
( ~ ( b @ X3 @ X4 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f8,plain,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f9,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X0 )
| ~ ( r @ X1 @ X0 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X2 ) ),
inference(rectify,[],[f5]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X2 @ X1 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X4 @ X1 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X3 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X3 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f4]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
( inj
= ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f17,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X1: $i,X3: $i,X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X1: $i,X2: $i,X4: $i,X3: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
( ( $true
!= ( surj @ sK0 ) )
& ( ( inj @ sK0 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f18]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X4 @ X1 ) ) ),
inference(rectify,[],[f20]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f15]) ).
thf(f25,plain,
( ( inj @ sK0 )
= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f26,plain,
( $true
!= ( surj @ sK0 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f31,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f34,plain,
( $true
!= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f26,f31]) ).
thf(f35,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 )
= $true ),
inference(definition_unfolding,[],[f25,f30]) ).
thf(f36,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f37,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f36]) ).
thf(f38,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f39,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f38]) ).
thf(f40,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f39]) ).
thf(f41,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f42,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f35]) ).
thf(f43,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f42]) ).
thf(f44,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f44]) ).
thf(f46,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) ) ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( X2 = X1 ) )
| ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f48]) ).
thf(f50,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f29,f41]) ).
thf(f51,plain,
! [X0: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f29,f41]) ).
thf(f52,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f29,f49]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( X0 = X1 )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( $true != $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true ) ),
inference(constrained_superposition,[],[f28,f29]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f57,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X3 @ ( sK0 @ X0 ) )
!= $true ) ),
inference(constrained_superposition,[],[f27,f50]) ).
thf(f58,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f59,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f28,f51]) ).
thf(f60,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f59]) ).
thf(f61,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(constrained_superposition,[],[f60,f29]) ).
thf(f63,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f76,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f52,f41]) ).
thf(f77,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(extensionality_resolution,[],[f52,f41]) ).
thf(f78,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f52,f49]) ).
thf(f80,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f60,f52]) ).
thf(f81,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ X3 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X3 @ ( sK0 @ X0 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f28,f52]) ).
thf(f82,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ X3 @ ( sK0 @ X0 ) ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f81]) ).
thf(f83,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( X0 = X1 )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f85,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f28,f76]) ).
thf(f87,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f89,definition,
( spl2_4
<=> ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f90,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_4 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f92,definition,
( spl2_5
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f93,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f95,definition,
( spl2_6
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f96,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f95]) ).
thf(f98,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_4 ),
inference(constrained_superposition,[],[f90,f29]) ).
thf(f99,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_4 ),
inference(trivial_inequality_removal,[],[f98]) ).
thf(f100,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_4 ),
inference(forward_subsumption_resolution,[],[f99,f41]) ).
thf(f101,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| spl2_4 ),
inference(constrained_superposition,[],[f27,f100]) ).
thf(f102,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| spl2_4 ),
inference(trivial_inequality_removal,[],[f101]) ).
thf(f106,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f87,f76]) ).
thf(f110,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(duplicate_literal_removal,[],[f106]) ).
thf(f111,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f113,definition,
( spl2_7
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f114,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_7 ),
inference(avatar_component_clause,[],[f113]) ).
thf(f117,definition,
( spl2_8
<=> ! [X1: $i] :
( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f118,plain,
( ! [X1: $i] :
( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f120,definition,
( spl2_9
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f121,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f123,definition,
( spl2_10
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f124,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_10 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f125,plain,
( spl2_8
| spl2_9
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f111,f123,f120,f117]) ).
thf(f126,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_7 ),
inference(constrained_superposition,[],[f114,f51]) ).
thf(f128,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_7 ),
inference(trivial_inequality_removal,[],[f126]) ).
thf(f131,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| spl2_4
| spl2_7 ),
inference(constrained_superposition,[],[f102,f128]) ).
thf(f132,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_7 ),
inference(constrained_superposition,[],[f58,f128]) ).
thf(f133,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| spl2_7 ),
inference(constrained_superposition,[],[f27,f128]) ).
thf(f134,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| spl2_4
| spl2_7 ),
inference(duplicate_literal_removal,[],[f131]) ).
thf(f135,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_4
| spl2_7 ),
inference(trivial_inequality_removal,[],[f134]) ).
thf(f136,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_7 ),
inference(duplicate_literal_removal,[],[f132]) ).
thf(f137,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_7 ),
inference(trivial_inequality_removal,[],[f136]) ).
thf(f138,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| spl2_7 ),
inference(trivial_inequality_removal,[],[f133]) ).
thf(f139,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_4
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f137,f90]) ).
thf(f153,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| spl2_4
| spl2_7 ),
inference(constrained_superposition,[],[f138,f100]) ).
thf(f154,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_7 ),
inference(constrained_superposition,[],[f138,f50]) ).
thf(f155,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| spl2_7 ),
inference(duplicate_literal_removal,[],[f154]) ).
thf(f156,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| spl2_7 ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f157,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl2_4
| spl2_7 ),
inference(duplicate_literal_removal,[],[f153]) ).
thf(f158,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl2_4
| spl2_7 ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f160,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| spl2_4
| spl2_7 ),
inference(constrained_superposition,[],[f158,f50]) ).
thf(f161,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_4
| spl2_7 ),
inference(constrained_superposition,[],[f158,f100]) ).
thf(f162,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_4
| spl2_7 ),
inference(trivial_inequality_removal,[],[f161]) ).
thf(f163,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| spl2_4
| spl2_7 ),
inference(trivial_inequality_removal,[],[f160]) ).
thf(f173,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f60,f77]) ).
thf(f174,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f28,f77]) ).
thf(f175,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f173]) ).
thf(f176,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f174]) ).
thf(f178,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f176,f51]) ).
thf(f183,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f185,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f78,f49]) ).
thf(f187,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f78,f41]) ).
thf(f188,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f78,f41]) ).
thf(f198,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f87,f187]) ).
thf(f199,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f60,f187]) ).
thf(f200,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f28,f187]) ).
thf(f201,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f200]) ).
thf(f203,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f199]) ).
thf(f204,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f198]) ).
thf(f209,definition,
( spl2_14
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f210,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_14 ),
inference(avatar_component_clause,[],[f209]) ).
thf(f213,definition,
( spl2_15
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f214,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f213]) ).
thf(f216,definition,
( spl2_16
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f217,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f216]) ).
thf(f219,definition,
( spl2_17
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f220,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_17 ),
inference(avatar_component_clause,[],[f219]) ).
thf(f221,plain,
( spl2_15
| spl2_16
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f203,f219,f216,f213]) ).
thf(f223,definition,
( spl2_18
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f224,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f223]) ).
thf(f226,definition,
( spl2_19
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f227,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f226]) ).
thf(f228,plain,
( spl2_18
| spl2_19
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f204,f209,f226,f223]) ).
thf(f240,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_14 ),
inference(constrained_superposition,[],[f210,f29]) ).
thf(f243,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_14 ),
inference(trivial_inequality_removal,[],[f240]) ).
thf(f246,definition,
( spl2_20
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f247,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f246]) ).
thf(f249,definition,
( spl2_21
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f250,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f249]) ).
thf(f251,plain,
( spl2_20
| spl2_21
| spl2_14 ),
inference(avatar_split_clause,[],[f243,f209,f249,f246]) ).
thf(f258,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f201,f51]) ).
thf(f260,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f201,f76]) ).
thf(f262,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f201,f187]) ).
thf(f263,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(duplicate_literal_removal,[],[f262]) ).
thf(f264,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f263]) ).
thf(f268,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f260]) ).
thf(f269,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f258]) ).
thf(f271,definition,
( spl2_22
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f272,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22 ),
inference(avatar_component_clause,[],[f271]) ).
thf(f274,definition,
( spl2_23
<=> ! [X1: $i] :
( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f275,plain,
( ! [X1: $i] :
( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f274]) ).
thf(f277,definition,
( spl2_24
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f278,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f279,plain,
( ~ spl2_22
| spl2_23
| spl2_24 ),
inference(avatar_split_clause,[],[f264,f277,f274,f271]) ).
thf(f281,definition,
( spl2_25
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f282,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_25 ),
inference(avatar_component_clause,[],[f281]) ).
thf(f283,plain,
( spl2_19
| ~ spl2_25
| spl2_18 ),
inference(avatar_split_clause,[],[f268,f223,f281,f226]) ).
thf(f285,definition,
( spl2_26
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
thf(f286,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_26 ),
inference(avatar_component_clause,[],[f285]) ).
thf(f287,plain,
( spl2_15
| spl2_16
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f269,f285,f216,f213]) ).
thf(f288,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_26 ),
inference(constrained_superposition,[],[f286,f51]) ).
thf(f290,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_26 ),
inference(trivial_inequality_removal,[],[f288]) ).
thf(f294,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_26 ),
inference(constrained_superposition,[],[f58,f290]) ).
thf(f295,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_26 ),
inference(constrained_superposition,[],[f27,f290]) ).
thf(f296,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_26 ),
inference(trivial_inequality_removal,[],[f295]) ).
thf(f299,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_26 ),
inference(duplicate_literal_removal,[],[f294]) ).
thf(f300,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_26 ),
inference(trivial_inequality_removal,[],[f299]) ).
thf(f307,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| spl2_4
| spl2_7
| ~ spl2_18 ),
inference(constrained_superposition,[],[f163,f224]) ).
thf(f308,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f27,f224]) ).
thf(f309,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| spl2_4
| spl2_7
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f307]) ).
thf(f310,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f308]) ).
thf(f313,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| spl2_4
| spl2_7
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f309,f162]) ).
thf(f332,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f310,f50]) ).
thf(f333,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f332]) ).
thf(f334,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f176,f188]) ).
thf(f336,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f60,f188]) ).
thf(f337,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f28,f188]) ).
thf(f338,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f334]) ).
thf(f339,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f336]) ).
thf(f341,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f337]) ).
thf(f343,definition,
( spl2_27
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f343]) ).
thf(f345,plain,
( spl2_27
| spl2_20 ),
inference(avatar_split_clause,[],[f338,f246,f343]) ).
thf(f350,definition,
( spl2_29
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
thf(f351,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f350]) ).
thf(f353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_4
| spl2_7
| ~ spl2_20 ),
inference(constrained_superposition,[],[f139,f247]) ).
thf(f354,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_4
| spl2_7
| ~ spl2_20 ),
inference(constrained_superposition,[],[f135,f247]) ).
thf(f359,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f27,f247]) ).
thf(f360,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_4
| spl2_7
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f354]) ).
thf(f362,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f359]) ).
thf(f365,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_4
| spl2_7
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f353]) ).
thf(f371,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_4
| spl2_7
| ~ spl2_20
| spl2_26 ),
inference(forward_subsumption_resolution,[],[f365,f290]) ).
thf(f376,definition,
( spl2_30
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).
thf(f377,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f376]) ).
thf(f379,definition,
( spl2_31
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f380,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_31 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f381,plain,
( spl2_30
| ~ spl2_31
| spl2_4
| spl2_7
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f360,f246,f113,f89,f379,f376]) ).
thf(f383,definition,
( spl2_32
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f384,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f383]) ).
thf(f385,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f219]) ).
thf(f386,plain,
( spl2_32
| spl2_17
| spl2_4
| spl2_7
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f313,f223,f113,f89,f219,f383]) ).
thf(f388,definition,
( spl2_33
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
thf(f389,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f388]) ).
thf(f390,plain,
( spl2_33
| spl2_17
| spl2_26 ),
inference(avatar_split_clause,[],[f300,f285,f219,f388]) ).
thf(f393,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_31 ),
inference(constrained_superposition,[],[f380,f50]) ).
thf(f394,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_31 ),
inference(trivial_inequality_removal,[],[f393]) ).
thf(f395,plain,
( spl2_17
| spl2_31 ),
inference(avatar_split_clause,[],[f394,f379,f219]) ).
thf(f401,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f214,f76]) ).
thf(f406,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f401]) ).
thf(f410,plain,
( spl2_30
| spl2_4
| spl2_7
| ~ spl2_20
| spl2_26 ),
inference(avatar_split_clause,[],[f371,f285,f246,f113,f89,f376]) ).
thf(f412,definition,
( spl2_34
<=> ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
thf(f413,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f412]) ).
thf(f415,definition,
( spl2_35
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
thf(f416,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f415]) ).
thf(f417,plain,
( spl2_34
| spl2_35
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f333,f223,f415,f412]) ).
thf(f419,definition,
( spl2_36
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).
thf(f420,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f419]) ).
thf(f421,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f423,plain,
( spl2_29
| ~ spl2_4
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f406,f213,f89,f350]) ).
thf(f425,definition,
( spl2_37
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
thf(f426,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f425]) ).
thf(f427,plain,
( spl2_37
| spl2_4
| spl2_7 ),
inference(avatar_split_clause,[],[f137,f113,f89,f425]) ).
thf(f429,definition,
( spl2_38
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).
thf(f430,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f429]) ).
thf(f431,plain,
( spl2_4
| spl2_38
| spl2_7 ),
inference(avatar_split_clause,[],[f156,f113,f429,f89]) ).
thf(f432,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f28,f421]) ).
thf(f433,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f432]) ).
thf(f434,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f433,f29]) ).
thf(f436,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f433,f52]) ).
thf(f437,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f433,f77]) ).
thf(f439,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f436]) ).
thf(f440,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f437]) ).
thf(f441,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f434]) ).
thf(f458,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f227,f52]) ).
thf(f460,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f227,f78]) ).
thf(f462,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f458]) ).
thf(f463,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f460]) ).
thf(f485,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_20
| spl2_26 ),
inference(constrained_superposition,[],[f296,f247]) ).
thf(f486,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_20
| spl2_26 ),
inference(trivial_inequality_removal,[],[f485]) ).
thf(f494,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X3 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f27,f93]) ).
thf(f496,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f494]) ).
thf(f512,definition,
( spl2_40
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
thf(f513,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_40 ),
inference(avatar_component_clause,[],[f512]) ).
thf(f518,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_20
| spl2_26 ),
inference(constrained_superposition,[],[f362,f290]) ).
thf(f519,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_20
| spl2_26 ),
inference(trivial_inequality_removal,[],[f518]) ).
thf(f559,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_25 ),
inference(constrained_superposition,[],[f282,f76]) ).
thf(f561,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_25 ),
inference(constrained_superposition,[],[f282,f29]) ).
thf(f562,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_25 ),
inference(trivial_inequality_removal,[],[f559]) ).
thf(f563,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_25 ),
inference(trivial_inequality_removal,[],[f561]) ).
thf(f565,plain,
( spl2_29
| spl2_25 ),
inference(avatar_split_clause,[],[f562,f281,f350]) ).
thf(f566,plain,
( spl2_29
| spl2_21
| spl2_25 ),
inference(avatar_split_clause,[],[f563,f281,f249,f350]) ).
thf(f568,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_20
| spl2_26
| ~ spl2_29 ),
inference(constrained_superposition,[],[f519,f351]) ).
thf(f582,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_20
| spl2_26
| ~ spl2_29 ),
inference(duplicate_literal_removal,[],[f568]) ).
thf(f583,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| spl2_26
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f582]) ).
thf(f584,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_7
| ~ spl2_20
| spl2_26
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f583,f128]) ).
thf(f587,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_7
| ~ spl2_20
| spl2_26
| ~ spl2_29 ),
inference(constrained_superposition,[],[f584,f351]) ).
thf(f588,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_7
| ~ spl2_20
| spl2_26
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f587]) ).
thf(f590,plain,
( $false
| spl2_7
| ~ spl2_20
| spl2_26
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f588,f290]) ).
thf(f591,plain,
( spl2_7
| ~ spl2_20
| spl2_26
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f590]) ).
thf(f600,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f462,f52]) ).
thf(f605,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f600]) ).
thf(f627,definition,
( spl2_43
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_43])],[avatar_definition]) ).
thf(f628,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43 ),
inference(avatar_component_clause,[],[f627]) ).
thf(f631,definition,
( spl2_44
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).
thf(f632,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f631]) ).
thf(f691,definition,
( spl2_47
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
thf(f692,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f691]) ).
thf(f700,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f463,f77]) ).
thf(f704,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f700]) ).
thf(f758,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| spl2_26
| ~ spl2_43 ),
inference(constrained_superposition,[],[f628,f290]) ).
thf(f762,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_26
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f758]) ).
thf(f775,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f27,f217]) ).
thf(f776,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f775]) ).
thf(f783,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16
| ~ spl2_19 ),
inference(constrained_superposition,[],[f776,f704]) ).
thf(f784,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16
| ~ spl2_19 ),
inference(constrained_superposition,[],[f776,f605]) ).
thf(f789,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_16
| ~ spl2_19 ),
inference(duplicate_literal_removal,[],[f784]) ).
thf(f790,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_16
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f789]) ).
thf(f791,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_16
| ~ spl2_19 ),
inference(duplicate_literal_removal,[],[f783]) ).
thf(f792,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_16
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f791]) ).
thf(f797,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f790,f41]) ).
thf(f798,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f792,f41]) ).
thf(f800,definition,
( spl2_52
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_52])],[avatar_definition]) ).
thf(f801,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_52 ),
inference(avatar_component_clause,[],[f800]) ).
thf(f802,plain,
( spl2_52
| spl2_44
| ~ spl2_16
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f797,f226,f216,f631,f800]) ).
thf(f804,definition,
( spl2_53
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_53])],[avatar_definition]) ).
thf(f805,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_53 ),
inference(avatar_component_clause,[],[f804]) ).
thf(f806,plain,
( spl2_53
| spl2_44
| ~ spl2_16
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f798,f226,f216,f631,f804]) ).
thf(f810,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5
| ~ spl2_53 ),
inference(constrained_superposition,[],[f496,f805]) ).
thf(f812,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5
| ~ spl2_53 ),
inference(duplicate_literal_removal,[],[f810]) ).
thf(f813,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_53 ),
inference(trivial_inequality_removal,[],[f812]) ).
thf(f820,definition,
( spl2_54
<=> ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
thf(f821,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f820]) ).
thf(f822,plain,
( spl2_54
| spl2_47
| ~ spl2_5
| ~ spl2_53 ),
inference(avatar_split_clause,[],[f813,f804,f92,f691,f820]) ).
thf(f847,definition,
( spl2_55
<=> ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
thf(f848,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f847]) ).
thf(f1012,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X3 @ X1 ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f27,f224]) ).
thf(f1015,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f1012]) ).
thf(f1178,definition,
( spl2_65
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).
thf(f1179,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_65 ),
inference(avatar_component_clause,[],[f1178]) ).
thf(f1181,definition,
( spl2_66
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_66])],[avatar_definition]) ).
thf(f1182,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_66 ),
inference(avatar_component_clause,[],[f1181]) ).
thf(f1228,definition,
( spl2_67
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).
thf(f1229,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_67 ),
inference(avatar_component_clause,[],[f1228]) ).
thf(f1231,definition,
( spl2_68
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
thf(f1232,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_68 ),
inference(avatar_component_clause,[],[f1231]) ).
thf(f1278,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_26
| ~ spl2_44 ),
inference(constrained_superposition,[],[f632,f290]) ).
thf(f1280,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_26
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f1278]) ).
thf(f1323,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_17 ),
inference(constrained_superposition,[],[f220,f29]) ).
thf(f1324,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_17 ),
inference(trivial_inequality_removal,[],[f1323]) ).
thf(f1325,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_17 ),
inference(forward_subsumption_resolution,[],[f1324,f41]) ).
thf(f1327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_17
| spl2_26 ),
inference(constrained_superposition,[],[f296,f1325]) ).
thf(f1333,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true ) )
| spl2_17
| spl2_26 ),
inference(duplicate_literal_removal,[],[f1327]) ).
thf(f1334,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| spl2_17
| spl2_26 ),
inference(trivial_inequality_removal,[],[f1333]) ).
thf(f1335,plain,
( spl2_38
| spl2_17
| spl2_26 ),
inference(avatar_split_clause,[],[f1334,f285,f219,f429]) ).
thf(f1348,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f430,f50]) ).
thf(f1349,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_17
| ~ spl2_38 ),
inference(constrained_superposition,[],[f430,f1325]) ).
thf(f1350,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f1348]) ).
thf(f1351,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_17
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f1349]) ).
thf(f1354,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_17
| ~ spl2_20
| ~ spl2_38 ),
inference(constrained_superposition,[],[f1351,f247]) ).
thf(f1360,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_17
| ~ spl2_20
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f1354]) ).
thf(f1400,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f441,f29]) ).
thf(f1401,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f441,f51]) ).
thf(f1402,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f441,f52]) ).
thf(f1405,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1401]) ).
thf(f1406,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1402]) ).
thf(f1407,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1400]) ).
thf(f1409,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ X1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ),
inference(extensionality_resolution,[],[f56,f41]) ).
thf(f1412,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( r @ X3 @ X2 )
!= $true )
| ( $true
= ( b @ X2 @ X1 ) )
| ( ( r @ X3 @ X0 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f56,f29]) ).
thf(f1413,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) ),
inference(constrained_superposition,[],[f56,f51]) ).
thf(f1423,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f56,f421]) ).
thf(f1425,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ X2 @ X1 ) )
| ( ( r @ X3 @ X0 )
!= $true )
| ( X1 = X2 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f1412]) ).
thf(f1433,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f1413]) ).
thf(f1435,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1423]) ).
thf(f1436,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(constrained_superposition,[],[f1409,f29]) ).
thf(f1437,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f1409,f51]) ).
thf(f1438,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f1409,f52]) ).
thf(f1440,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f1409,f77]) ).
thf(f1443,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f1409,f188]) ).
thf(f1444,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f1436]) ).
thf(f1445,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f1438]) ).
thf(f1446,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f1440]) ).
thf(f1448,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f1437]) ).
thf(f1450,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f1443]) ).
thf(f1474,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1435,f29]) ).
thf(f1477,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1474]) ).
thf(f1480,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1477,f29]) ).
thf(f1485,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1480]) ).
thf(f1488,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X3 ) )
| ( $true != $true )
| ( X2 = X3 )
| ( X1 = X3 )
| ( X0 = X1 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f1425,f29]) ).
thf(f1499,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X1 )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1425,f421]) ).
thf(f1504,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ X1 @ X3 ) )
| ( X1 = X3 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f1488]) ).
thf(f1505,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1499]) ).
thf(f1513,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1505,f52]) ).
thf(f1515,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( sK1 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1505,f29]) ).
thf(f1516,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1513]) ).
thf(f1519,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( X0 = X1 )
| ( sK1 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1515]) ).
thf(f1521,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1519,f29]) ).
thf(f1525,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( X0 = X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1521]) ).
thf(f1553,definition,
( spl2_70
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_70])],[avatar_definition]) ).
thf(f1554,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 ) )
| ~ spl2_70 ),
inference(avatar_component_clause,[],[f1553]) ).
thf(f1625,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( X1 = X2 )
| ( $true
= ( b @ X2 @ X1 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( b @ X0 @ X3 )
= $true )
| ( $true != $true )
| ( X0 = X3 )
| ( X1 = X3 )
| ( $true
= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f1504,f29]) ).
thf(f1645,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( X0 = X3 )
| ( $true
= ( b @ X1 @ X3 ) )
| ( X1 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X3 )
= $true )
| ( X0 = X1 )
| ( X1 = X3 )
| ( $true
= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f1625]) ).
thf(f1649,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1407,f29]) ).
thf(f1656,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1649]) ).
thf(f1658,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f439,f51]) ).
thf(f1663,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1658]) ).
thf(f1673,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f185,f41]) ).
thf(f1674,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f185,f41]) ).
thf(f1712,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ),
inference(constrained_superposition,[],[f1448,f29]) ).
thf(f1716,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f1448,f77]) ).
thf(f1719,plain,
! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f1448,f188]) ).
thf(f1722,plain,
! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f1716]) ).
thf(f1725,plain,
! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1719]) ).
thf(f1726,plain,
! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f1712]) ).
thf(f1757,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1485,f29]) ).
thf(f1769,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X1 )
| ( sK1 = X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1757]) ).
thf(f1827,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) ),
inference(constrained_superposition,[],[f1433,f29]) ).
thf(f1828,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1827]) ).
thf(f1830,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X2 )
= X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ X2 ) ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(constrained_superposition,[],[f63,f29]) ).
thf(f1834,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f63,f421]) ).
thf(f1837,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ X2 )
= X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ X2 ) ) ) ),
inference(trivial_inequality_removal,[],[f1830]) ).
thf(f1838,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1834]) ).
thf(f1843,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1838,f29]) ).
thf(f1847,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1843]) ).
thf(f1849,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1847,f29]) ).
thf(f1853,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f1849]) ).
thf(f1881,definition,
( spl2_71
<=> ! [X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_71])],[avatar_definition]) ).
thf(f1882,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_71 ),
inference(avatar_component_clause,[],[f1881]) ).
thf(f1989,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 ) )
| ~ spl2_4
| ~ spl2_20 ),
inference(constrained_superposition,[],[f362,f1769]) ).
thf(f2008,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X2 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 ) )
| ~ spl2_4
| ~ spl2_20 ),
inference(duplicate_literal_removal,[],[f1989]) ).
thf(f2009,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X2 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f2008]) ).
thf(f2063,plain,
( ~ spl2_40
| spl2_17
| ~ spl2_20
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f1360,f429,f246,f219,f512]) ).
thf(f2064,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f512]) ).
thf(f2066,definition,
( spl2_74
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).
thf(f2067,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f2066]) ).
thf(f2068,plain,
( spl2_40
| spl2_74 ),
inference(avatar_split_clause,[],[f1446,f2066,f512]) ).
thf(f2134,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true != $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1516,f29]) ).
thf(f2135,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f2134]) ).
thf(f2139,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f2135,f41]) ).
thf(f2222,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f201,f1673]) ).
thf(f2229,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f87,f1673]) ).
thf(f2232,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f60,f1673]) ).
thf(f2239,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(constrained_superposition,[],[f28,f1673]) ).
thf(f2250,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f2239]) ).
thf(f2254,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f2222]) ).
thf(f2257,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f2232]) ).
thf(f2259,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f2229]) ).
thf(f2273,definition,
( spl2_75
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).
thf(f2274,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_75 ),
inference(avatar_component_clause,[],[f2273]) ).
thf(f2276,definition,
( spl2_76
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).
thf(f2277,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f2276]) ).
thf(f2281,definition,
( spl2_77
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).
thf(f2282,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_77 ),
inference(avatar_component_clause,[],[f2281]) ).
thf(f2284,definition,
( spl2_78
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).
thf(f2285,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_78 ),
inference(avatar_component_clause,[],[f2284]) ).
thf(f2287,definition,
( spl2_79
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).
thf(f2288,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
| ~ spl2_79 ),
inference(avatar_component_clause,[],[f2287]) ).
thf(f2289,plain,
( ~ spl2_77
| spl2_78
| spl2_79 ),
inference(avatar_split_clause,[],[f2254,f2287,f2284,f2281]) ).
thf(f2307,definition,
( spl2_83
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_83])],[avatar_definition]) ).
thf(f2308,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_83 ),
inference(avatar_component_clause,[],[f2307]) ).
thf(f2310,definition,
( spl2_84
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).
thf(f2311,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_84 ),
inference(avatar_component_clause,[],[f2310]) ).
thf(f2315,definition,
( spl2_85
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).
thf(f2316,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) )
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f2315]) ).
thf(f2338,definition,
( spl2_90
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_90])],[avatar_definition]) ).
thf(f2339,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_90 ),
inference(avatar_component_clause,[],[f2338]) ).
thf(f2365,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_75 ),
inference(constrained_superposition,[],[f2274,f77]) ).
thf(f2367,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_75 ),
inference(constrained_superposition,[],[f2274,f29]) ).
thf(f2368,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_75 ),
inference(trivial_inequality_removal,[],[f2367]) ).
thf(f2370,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_75 ),
inference(trivial_inequality_removal,[],[f2365]) ).
thf(f2371,plain,
( spl2_83
| spl2_84
| spl2_75 ),
inference(avatar_split_clause,[],[f2368,f2273,f2310,f2307]) ).
thf(f2373,plain,
( spl2_84
| spl2_75 ),
inference(avatar_split_clause,[],[f2370,f2273,f2310]) ).
thf(f2388,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| spl2_26
| ~ spl2_84 ),
inference(constrained_superposition,[],[f486,f2311]) ).
thf(f2393,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5
| ~ spl2_84 ),
inference(constrained_superposition,[],[f496,f2311]) ).
thf(f2394,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_84 ),
inference(constrained_superposition,[],[f1350,f2311]) ).
thf(f2396,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5
| ~ spl2_84 ),
inference(duplicate_literal_removal,[],[f2393]) ).
thf(f2397,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_5
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f2396]) ).
thf(f2398,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f2394]) ).
thf(f2402,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20
| spl2_26
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f2388]) ).
thf(f2439,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_77 ),
inference(constrained_superposition,[],[f2282,f188]) ).
thf(f2444,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_77 ),
inference(trivial_inequality_removal,[],[f2439]) ).
thf(f2448,definition,
( spl2_92
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_92])],[avatar_definition]) ).
thf(f2449,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_92 ),
inference(avatar_component_clause,[],[f2448]) ).
thf(f2451,definition,
( spl2_93
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_93])],[avatar_definition]) ).
thf(f2452,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_93 ),
inference(avatar_component_clause,[],[f2451]) ).
thf(f2454,plain,
( spl2_92
| spl2_77 ),
inference(avatar_split_clause,[],[f2444,f2281,f2448]) ).
thf(f2464,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_26
| ~ spl2_44
| ~ spl2_92 ),
inference(constrained_superposition,[],[f1280,f2449]) ).
thf(f2468,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_92 ),
inference(constrained_superposition,[],[f1015,f2449]) ).
thf(f2472,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_92 ),
inference(constrained_superposition,[],[f1350,f2449]) ).
thf(f2480,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f2472]) ).
thf(f2487,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_26
| ~ spl2_44
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f2464]) ).
thf(f2491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_92 ),
inference(duplicate_literal_removal,[],[f2468]) ).
thf(f2492,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f2491]) ).
thf(f2498,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_26
| ~ spl2_44
| ~ spl2_92 ),
inference(constrained_superposition,[],[f2487,f50]) ).
thf(f2501,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_26
| ~ spl2_44
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f2498]) ).
thf(f2531,definition,
( spl2_94
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_94])],[avatar_definition]) ).
thf(f2532,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94 ),
inference(avatar_component_clause,[],[f2531]) ).
thf(f2538,definition,
( spl2_96
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).
thf(f2539,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_96 ),
inference(avatar_component_clause,[],[f2538]) ).
thf(f2542,definition,
( spl2_97
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_97])],[avatar_definition]) ).
thf(f2543,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_97 ),
inference(avatar_component_clause,[],[f2542]) ).
thf(f2724,definition,
( spl2_98
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_98])],[avatar_definition]) ).
thf(f2725,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_98 ),
inference(avatar_component_clause,[],[f2724]) ).
thf(f2726,plain,
( spl2_98
| ~ spl2_31
| ~ spl2_38
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f2480,f2448,f429,f379,f2724]) ).
thf(f2727,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X2 )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2009,f41]) ).
thf(f2731,definition,
( spl2_99
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_99])],[avatar_definition]) ).
thf(f2732,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_99 ),
inference(avatar_component_clause,[],[f2731]) ).
thf(f2734,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f2736,definition,
( spl2_100
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_100])],[avatar_definition]) ).
thf(f2737,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_100 ),
inference(avatar_component_clause,[],[f2736]) ).
thf(f2738,plain,
( spl2_31
| spl2_100 ),
inference(avatar_split_clause,[],[f1450,f2736,f379]) ).
thf(f2739,plain,
( spl2_98
| spl2_26
| ~ spl2_44
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f2501,f2448,f631,f285,f2724]) ).
thf(f2742,definition,
( spl2_101
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_101])],[avatar_definition]) ).
thf(f2743,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_101 ),
inference(avatar_component_clause,[],[f2742]) ).
thf(f2748,definition,
( spl2_102
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_102])],[avatar_definition]) ).
thf(f2749,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_102 ),
inference(avatar_component_clause,[],[f2748]) ).
thf(f2751,definition,
( spl2_103
<=> ! [X2: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_103])],[avatar_definition]) ).
thf(f2752,plain,
( ! [X2: $i] :
( ( $true
= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_103 ),
inference(avatar_component_clause,[],[f2751]) ).
thf(f2753,plain,
( spl2_102
| spl2_21
| spl2_31
| spl2_103
| ~ spl2_4
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f2727,f246,f89,f2751,f379,f249,f2748]) ).
thf(f2755,definition,
( spl2_104
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).
thf(f2756,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_104 ),
inference(avatar_component_clause,[],[f2755]) ).
thf(f2759,definition,
( spl2_105
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).
thf(f2760,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_105 ),
inference(avatar_component_clause,[],[f2759]) ).
thf(f2765,plain,
( spl2_94
| spl2_44
| ~ spl2_18
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f2492,f2448,f223,f631,f2531]) ).
thf(f2800,definition,
( spl2_106
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition]) ).
thf(f2801,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_106 ),
inference(avatar_component_clause,[],[f2800]) ).
thf(f2805,definition,
( spl2_107
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_107])],[avatar_definition]) ).
thf(f2806,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_107 ),
inference(avatar_component_clause,[],[f2805]) ).
thf(f2860,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_26
| ~ spl2_102 ),
inference(constrained_superposition,[],[f2749,f290]) ).
thf(f2877,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_26
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f2860]) ).
thf(f2957,definition,
( spl2_109
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_109])],[avatar_definition]) ).
thf(f2958,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_109 ),
inference(avatar_component_clause,[],[f2957]) ).
thf(f2964,definition,
( spl2_110
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f2965,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f2964]) ).
thf(f2967,definition,
( spl2_111
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_111])],[avatar_definition]) ).
thf(f2968,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_111 ),
inference(avatar_component_clause,[],[f2967]) ).
thf(f2971,definition,
( spl2_112
<=> ! [X2: $i] :
( ( $true
= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X2 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_112])],[avatar_definition]) ).
thf(f2972,plain,
( ! [X2: $i] :
( ( $true
= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X2 )
| ( ( sK0 @ sK1 )
= X2 ) )
| ~ spl2_112 ),
inference(avatar_component_clause,[],[f2971]) ).
thf(f3066,definition,
( spl2_113
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_113])],[avatar_definition]) ).
thf(f3067,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_113 ),
inference(avatar_component_clause,[],[f3066]) ).
thf(f3074,definition,
( spl2_115
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_115])],[avatar_definition]) ).
thf(f3075,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_115 ),
inference(avatar_component_clause,[],[f3074]) ).
thf(f3117,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_113 ),
inference(constrained_superposition,[],[f3067,f224]) ).
thf(f3138,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f3117]) ).
thf(f3143,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_18
| spl2_26
| ~ spl2_113 ),
inference(forward_subsumption_resolution,[],[f3138,f290]) ).
thf(f3144,plain,
( spl2_30
| spl2_94
| ~ spl2_18
| spl2_26
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f3143,f3066,f285,f223,f2531,f376]) ).
thf(f3176,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_29 ),
inference(avatar_component_clause,[],[f350]) ).
thf(f3289,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f2250,f51]) ).
thf(f3291,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f2250,f76]) ).
thf(f3293,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(constrained_superposition,[],[f2250,f187]) ).
thf(f3295,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f2250,f1673]) ).
thf(f3296,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f3293]) ).
thf(f3299,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f3289]) ).
thf(f3302,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f3291]) ).
thf(f3303,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f3295]) ).
thf(f3304,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f3303]) ).
thf(f3306,definition,
( spl2_117
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_117])],[avatar_definition]) ).
thf(f3307,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_117 ),
inference(avatar_component_clause,[],[f3306]) ).
thf(f3308,plain,
( spl2_78
| spl2_79
| ~ spl2_117 ),
inference(avatar_split_clause,[],[f3296,f3306,f2287,f2284]) ).
thf(f3310,definition,
( spl2_118
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f3311,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f3310]) ).
thf(f3313,definition,
( spl2_119
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_119])],[avatar_definition]) ).
thf(f3314,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_119 ),
inference(avatar_component_clause,[],[f3313]) ).
thf(f3316,definition,
( spl2_120
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).
thf(f3317,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) )
| ~ spl2_120 ),
inference(avatar_component_clause,[],[f3316]) ).
thf(f3318,plain,
( spl2_118
| ~ spl2_119
| spl2_120 ),
inference(avatar_split_clause,[],[f3302,f3316,f3313,f3310]) ).
thf(f3320,definition,
( spl2_121
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f3321,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_121 ),
inference(avatar_component_clause,[],[f3320]) ).
thf(f3323,definition,
( spl2_122
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
thf(f3324,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f3323]) ).
thf(f3326,definition,
( spl2_123
<=> ! [X1: $i] :
( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).
thf(f3327,plain,
( ! [X1: $i] :
( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123 ),
inference(avatar_component_clause,[],[f3326]) ).
thf(f3328,plain,
( ~ spl2_121
| spl2_122
| spl2_123 ),
inference(avatar_split_clause,[],[f3304,f3326,f3323,f3320]) ).
thf(f3331,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_119 ),
inference(constrained_superposition,[],[f3314,f29]) ).
thf(f3332,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_119 ),
inference(trivial_inequality_removal,[],[f3331]) ).
thf(f3335,plain,
( spl2_83
| spl2_94
| spl2_119 ),
inference(avatar_split_clause,[],[f3332,f3313,f2531,f2307]) ).
thf(f3359,plain,
( spl2_98
| ~ spl2_40
| ~ spl2_38
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f2398,f2310,f429,f512,f2724]) ).
thf(f3370,definition,
( spl2_126
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_126])],[avatar_definition]) ).
thf(f3371,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_126 ),
inference(avatar_component_clause,[],[f3370]) ).
thf(f3372,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_110 ),
inference(avatar_component_clause,[],[f2964]) ).
thf(f3373,plain,
( spl2_126
| ~ spl2_110
| ~ spl2_20
| spl2_26
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f2402,f2310,f285,f246,f2964,f3370]) ).
thf(f3384,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_98 ),
inference(avatar_component_clause,[],[f2724]) ).
thf(f3386,definition,
( spl2_128
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).
thf(f3387,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_128 ),
inference(avatar_component_clause,[],[f3386]) ).
thf(f3395,definition,
( spl2_130
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_130])],[avatar_definition]) ).
thf(f3396,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_130 ),
inference(avatar_component_clause,[],[f3395]) ).
thf(f3398,definition,
( spl2_131
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_131])],[avatar_definition]) ).
thf(f3399,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) )
| ~ spl2_131 ),
inference(avatar_component_clause,[],[f3398]) ).
thf(f3400,plain,
( ~ spl2_128
| spl2_130
| spl2_131 ),
inference(avatar_split_clause,[],[f3299,f3398,f3395,f3386]) ).
thf(f3406,definition,
( spl2_132
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).
thf(f3407,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132 ),
inference(avatar_component_clause,[],[f3406]) ).
thf(f3408,plain,
( spl2_132
| spl2_47
| ~ spl2_5
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f2397,f2310,f92,f691,f3406]) ).
thf(f3412,plain,
( spl2_131
| ~ spl2_98
| spl2_130 ),
inference(avatar_split_clause,[],[f2257,f3395,f2724,f3398]) ).
thf(f3450,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_98 ),
inference(constrained_superposition,[],[f3384,f29]) ).
thf(f3453,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_98 ),
inference(trivial_inequality_removal,[],[f3450]) ).
thf(f3456,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_98 ),
inference(forward_subsumption_resolution,[],[f3453,f41]) ).
thf(f3458,plain,
( spl2_110
| spl2_98 ),
inference(avatar_split_clause,[],[f3456,f2724,f2964]) ).
thf(f3611,definition,
( spl2_139
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_139])],[avatar_definition]) ).
thf(f3612,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_139 ),
inference(avatar_component_clause,[],[f3611]) ).
thf(f3614,definition,
( spl2_140
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_140])],[avatar_definition]) ).
thf(f3615,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_140 ),
inference(avatar_component_clause,[],[f3614]) ).
thf(f3617,definition,
( spl2_141
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_141])],[avatar_definition]) ).
thf(f3618,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_141 ),
inference(avatar_component_clause,[],[f3617]) ).
thf(f3640,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_128 ),
inference(constrained_superposition,[],[f3387,f51]) ).
thf(f3643,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_128 ),
inference(trivial_inequality_removal,[],[f3640]) ).
thf(f3645,plain,
( spl2_132
| spl2_128 ),
inference(avatar_split_clause,[],[f3643,f3386,f3406]) ).
thf(f3675,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f27,f2965]) ).
thf(f3679,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f3675]) ).
thf(f3684,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_16
| ~ spl2_67 ),
inference(constrained_superposition,[],[f1229,f217]) ).
thf(f3689,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_16
| ~ spl2_67 ),
inference(trivial_inequality_removal,[],[f3684]) ).
thf(f3718,definition,
( spl2_142
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_142])],[avatar_definition]) ).
thf(f3719,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_142 ),
inference(avatar_component_clause,[],[f3718]) ).
thf(f3722,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_5
| ~ spl2_16
| ~ spl2_67 ),
inference(forward_subsumption_resolution,[],[f3689,f93]) ).
thf(f3729,plain,
( spl2_54
| ~ spl2_5
| ~ spl2_16
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f3722,f1228,f216,f92,f820]) ).
thf(f3767,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_26
| ~ spl2_31 ),
inference(constrained_superposition,[],[f296,f2734]) ).
thf(f3774,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_26
| ~ spl2_31 ),
inference(duplicate_literal_removal,[],[f3767]) ).
thf(f3775,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_26
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f3774]) ).
thf(f3776,plain,
( spl2_38
| spl2_26
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f3775,f379,f285,f429]) ).
thf(f3777,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f430,f50]) ).
thf(f3778,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_110 ),
inference(constrained_superposition,[],[f430,f2965]) ).
thf(f3779,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_31
| ~ spl2_38 ),
inference(constrained_superposition,[],[f430,f2734]) ).
thf(f3781,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f3779]) ).
thf(f3782,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f3778]) ).
thf(f3784,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f3777]) ).
thf(f3788,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_18
| ~ spl2_31
| ~ spl2_38 ),
inference(constrained_superposition,[],[f3781,f224]) ).
thf(f3794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_31
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f3788]) ).
thf(f3795,plain,
( spl2_99
| ~ spl2_18
| ~ spl2_31
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f3794,f429,f379,f223,f2731]) ).
thf(f3850,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_38 ),
inference(constrained_superposition,[],[f3784,f224]) ).
thf(f3869,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_18
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f3850]) ).
thf(f3886,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| spl2_7
| ~ spl2_47 ),
inference(constrained_superposition,[],[f692,f128]) ).
thf(f3893,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_7
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f3886]) ).
thf(f3899,definition,
( spl2_143
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_143])],[avatar_definition]) ).
thf(f3900,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_143 ),
inference(avatar_component_clause,[],[f3899]) ).
thf(f3902,definition,
( spl2_144
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_144])],[avatar_definition]) ).
thf(f3903,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_144 ),
inference(avatar_component_clause,[],[f3902]) ).
thf(f3905,plain,
( spl2_144
| spl2_7
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f3893,f691,f113,f3902]) ).
thf(f3906,plain,
( spl2_118
| ~ spl2_75
| spl2_120 ),
inference(avatar_split_clause,[],[f2259,f3316,f2273,f3310]) ).
thf(f3911,definition,
( spl2_145
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_145])],[avatar_definition]) ).
thf(f3912,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_145 ),
inference(avatar_component_clause,[],[f3911]) ).
thf(f3914,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_99
| ~ spl2_110 ),
inference(constrained_superposition,[],[f2732,f2965]) ).
thf(f3915,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_99 ),
inference(constrained_superposition,[],[f2732,f50]) ).
thf(f3917,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_99
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f3914]) ).
thf(f3918,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_99 ),
inference(trivial_inequality_removal,[],[f3915]) ).
thf(f3920,plain,
( spl2_94
| ~ spl2_99
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f3917,f2964,f2731,f2531]) ).
thf(f3921,plain,
( spl2_34
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f3918,f2731,f412]) ).
thf(f3929,plain,
( spl2_99
| spl2_17
| ~ spl2_18
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f3869,f429,f223,f219,f2731]) ).
thf(f3934,definition,
( spl2_147
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_147])],[avatar_definition]) ).
thf(f3935,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_147 ),
inference(avatar_component_clause,[],[f3934]) ).
thf(f3943,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_17 ),
inference(constrained_superposition,[],[f440,f385]) ).
thf(f3944,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_4
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1516,f385]) ).
thf(f3947,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1407,f385]) ).
thf(f3951,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f28,f385]) ).
thf(f3952,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f56,f385]) ).
thf(f3953,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( sK1 = X1 )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1425,f385]) ).
thf(f3958,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( sK1 = X1 )
| ( X0 = X1 ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3953]) ).
thf(f3960,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_4
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3944]) ).
thf(f3961,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3952]) ).
thf(f3963,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3947]) ).
thf(f3964,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3943]) ).
thf(f3966,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f3951]) ).
thf(f3972,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_144 ),
inference(constrained_superposition,[],[f3903,f247]) ).
thf(f3979,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f3972]) ).
thf(f3983,plain,
( $false
| ~ spl2_20
| spl2_26
| ~ spl2_144 ),
inference(forward_subsumption_resolution,[],[f3979,f290]) ).
thf(f3984,plain,
( ~ spl2_20
| spl2_26
| ~ spl2_144 ),
inference(avatar_contradiction_clause,[],[f3983]) ).
thf(f3986,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_132 ),
inference(constrained_superposition,[],[f2968,f3407]) ).
thf(f3997,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f3986]) ).
thf(f4002,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_30 ),
inference(constrained_superposition,[],[f377,f247]) ).
thf(f4003,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_30 ),
inference(constrained_superposition,[],[f377,f224]) ).
thf(f4008,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f4002]) ).
thf(f4009,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f4003]) ).
thf(f4010,plain,
( $false
| spl2_7
| ~ spl2_20
| ~ spl2_30 ),
inference(forward_subsumption_resolution,[],[f4008,f128]) ).
thf(f4011,plain,
( spl2_7
| ~ spl2_20
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f4010]) ).
thf(f4012,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_5
| ~ spl2_18
| ~ spl2_30 ),
inference(forward_subsumption_resolution,[],[f4009,f93]) ).
thf(f4013,plain,
( spl2_66
| ~ spl2_5
| ~ spl2_18
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f4012,f376,f223,f92,f1181]) ).
thf(f4015,definition,
( spl2_148
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_148])],[avatar_definition]) ).
thf(f4016,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_148 ),
inference(avatar_component_clause,[],[f4015]) ).
thf(f4018,definition,
( spl2_149
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_149])],[avatar_definition]) ).
thf(f4019,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_149 ),
inference(avatar_component_clause,[],[f4018]) ).
thf(f4020,plain,
( spl2_148
| spl2_149
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f1405,f89,f4018,f4015]) ).
thf(f4024,definition,
( spl2_150
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_150])],[avatar_definition]) ).
thf(f4025,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_150 ),
inference(avatar_component_clause,[],[f4024]) ).
thf(f4031,definition,
( spl2_152
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_152])],[avatar_definition]) ).
thf(f4032,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_152 ),
inference(avatar_component_clause,[],[f4031]) ).
thf(f4033,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_149 ),
inference(avatar_component_clause,[],[f4018]) ).
thf(f4034,plain,
( spl2_152
| ~ spl2_149
| spl2_26
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f762,f627,f285,f4018,f4031]) ).
thf(f4040,definition,
( spl2_154
<=> ! [X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_154])],[avatar_definition]) ).
thf(f4041,plain,
( ! [X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_154 ),
inference(avatar_component_clause,[],[f4040]) ).
thf(f4047,definition,
( spl2_155
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_155])],[avatar_definition]) ).
thf(f4048,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true ) )
| ~ spl2_155 ),
inference(avatar_component_clause,[],[f4047]) ).
thf(f4049,plain,
( spl2_149
| spl2_155
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f1663,f89,f4047,f4018]) ).
thf(f4053,definition,
( spl2_156
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_156])],[avatar_definition]) ).
thf(f4054,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_156 ),
inference(avatar_component_clause,[],[f4053]) ).
thf(f4055,plain,
( spl2_149
| spl2_156 ),
inference(avatar_split_clause,[],[f175,f4053,f4018]) ).
thf(f4057,definition,
( spl2_157
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_157])],[avatar_definition]) ).
thf(f4058,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_157 ),
inference(avatar_component_clause,[],[f4057]) ).
thf(f4059,plain,
( spl2_157
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f183,f113,f4057]) ).
thf(f4067,definition,
( spl2_159
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_159])],[avatar_definition]) ).
thf(f4068,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_159 ),
inference(avatar_component_clause,[],[f4067]) ).
thf(f4080,plain,
( ~ spl2_149
| ~ spl2_20
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f4008,f376,f246,f4018]) ).
thf(f4081,plain,
( spl2_40
| spl2_149
| spl2_159 ),
inference(avatar_split_clause,[],[f1722,f4067,f4018,f512]) ).
thf(f4082,plain,
( spl2_90
| ~ spl2_40
| ~ spl2_111
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f3997,f3406,f2967,f512,f2338]) ).
thf(f4083,plain,
( spl2_90
| ~ spl2_40
| spl2_26
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f2877,f2748,f285,f512,f2338]) ).
thf(f4086,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| spl2_149 ),
inference(constrained_superposition,[],[f4033,f1853]) ).
thf(f4088,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_4
| spl2_149 ),
inference(duplicate_literal_removal,[],[f4086]) ).
thf(f4089,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_4
| spl2_149 ),
inference(trivial_inequality_removal,[],[f4088]) ).
thf(f4091,plain,
( spl2_143
| ~ spl2_4
| spl2_149 ),
inference(avatar_split_clause,[],[f4089,f4018,f89,f3899]) ).
thf(f4109,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f227,f29]) ).
thf(f4110,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f227,f51]) ).
thf(f4111,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f227,f52]) ).
thf(f4114,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f227,f188]) ).
thf(f4117,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4109]) ).
thf(f4118,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4114]) ).
thf(f4119,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4110]) ).
thf(f4120,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4111]) ).
thf(f4145,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| spl2_26
| ~ spl2_44 ),
inference(constrained_superposition,[],[f632,f290]) ).
thf(f4156,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_26
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f4145]) ).
thf(f4158,definition,
( spl2_161
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_161])],[avatar_definition]) ).
thf(f4159,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_161 ),
inference(avatar_component_clause,[],[f4158]) ).
thf(f4162,plain,
( spl2_161
| spl2_26
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f4156,f631,f285,f4158]) ).
thf(f4209,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f4118,f77]) ).
thf(f4211,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f4118,f29]) ).
thf(f4213,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4209]) ).
thf(f4214,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4211]) ).
thf(f4216,plain,
( spl2_145
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f4213,f226,f3911]) ).
thf(f4217,plain,
( spl2_147
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f4214,f226,f3934]) ).
thf(f4256,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f3966,f188]) ).
thf(f4261,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f4256]) ).
thf(f4300,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_18
| ~ spl2_110 ),
inference(constrained_superposition,[],[f3679,f224]) ).
thf(f4308,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_70
| ~ spl2_110 ),
inference(constrained_superposition,[],[f3679,f1554]) ).
thf(f4325,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_18
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f4300]) ).
thf(f4327,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_70
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f4308]) ).
thf(f4406,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f4117,f29]) ).
thf(f4407,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f4117,f51]) ).
thf(f4412,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4406]) ).
thf(f4413,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4407]) ).
thf(f4414,plain,
( spl2_103
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f4412,f226,f2751]) ).
thf(f4439,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_20
| ~ spl2_47 ),
inference(constrained_superposition,[],[f692,f247]) ).
thf(f4445,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f4439]) ).
thf(f4494,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f4016,f29]) ).
thf(f4495,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f4494]) ).
thf(f4497,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f4120,f52]) ).
thf(f4502,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f4497]) ).
thf(f4508,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f4495,f29]) ).
thf(f4514,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_148 ),
inference(duplicate_literal_removal,[],[f4508]) ).
thf(f4515,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f4514]) ).
thf(f4620,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_19
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4159,f4502]) ).
thf(f4629,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_19
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f4620]) ).
thf(f4646,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_19
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4629,f50]) ).
thf(f4647,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19
| ~ spl2_110
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4629,f2965]) ).
thf(f4649,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_19
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f4646]) ).
thf(f4651,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_110
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f4647]) ).
thf(f4653,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19
| ~ spl2_110
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f4651,f41]) ).
thf(f4654,plain,
( spl2_21
| spl2_84
| ~ spl2_19
| ~ spl2_110
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f4653,f4158,f2964,f226,f2310,f249]) ).
thf(f4656,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_84 ),
inference(constrained_superposition,[],[f692,f2311]) ).
thf(f4664,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f27,f2311]) ).
thf(f4669,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f4656]) ).
thf(f4675,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f4664]) ).
thf(f4806,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_84 ),
inference(constrained_superposition,[],[f4675,f224]) ).
thf(f4814,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_70
| ~ spl2_84 ),
inference(constrained_superposition,[],[f4675,f1554]) ).
thf(f4825,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_70
| ~ spl2_84 ),
inference(duplicate_literal_removal,[],[f4814]) ).
thf(f4826,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_70
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f4825]) ).
thf(f4839,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f4806]) ).
thf(f5264,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_83 ),
inference(avatar_component_clause,[],[f2307]) ).
thf(f5295,definition,
( spl2_167
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_167])],[avatar_definition]) ).
thf(f5296,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_167 ),
inference(avatar_component_clause,[],[f5295]) ).
thf(f5299,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_83 ),
inference(extensionality_resolution,[],[f185,f5264]) ).
thf(f5300,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_83 ),
inference(extensionality_resolution,[],[f185,f5264]) ).
thf(f5304,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_83 ),
inference(extensionality_resolution,[],[f78,f5264]) ).
thf(f5310,definition,
( spl2_168
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_168])],[avatar_definition]) ).
thf(f5311,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_168 ),
inference(avatar_component_clause,[],[f5310]) ).
thf(f5313,definition,
( spl2_169
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_169])],[avatar_definition]) ).
thf(f5314,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_169 ),
inference(avatar_component_clause,[],[f5313]) ).
thf(f5315,plain,
( spl2_168
| spl2_169
| spl2_83 ),
inference(avatar_split_clause,[],[f5304,f2307,f5313,f5310]) ).
thf(f5317,definition,
( spl2_170
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_170])],[avatar_definition]) ).
thf(f5318,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_170 ),
inference(avatar_component_clause,[],[f5317]) ).
thf(f5320,definition,
( spl2_171
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f5321,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f5320]) ).
thf(f5322,plain,
( spl2_170
| spl2_171
| spl2_83 ),
inference(avatar_split_clause,[],[f5299,f2307,f5320,f5317]) ).
thf(f5324,definition,
( spl2_172
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_172])],[avatar_definition]) ).
thf(f5325,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_172 ),
inference(avatar_component_clause,[],[f5324]) ).
thf(f5327,definition,
( spl2_173
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_173])],[avatar_definition]) ).
thf(f5328,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_173 ),
inference(avatar_component_clause,[],[f5327]) ).
thf(f5329,plain,
( spl2_172
| spl2_173
| spl2_83 ),
inference(avatar_split_clause,[],[f5300,f2307,f5327,f5324]) ).
thf(f5331,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f341,f5311]) ).
thf(f5362,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f5331]) ).
thf(f5370,definition,
( spl2_175
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f5371,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f5370]) ).
thf(f5374,definition,
( spl2_176
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f5375,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_176 ),
inference(avatar_component_clause,[],[f5374]) ).
thf(f5377,definition,
( spl2_177
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).
thf(f5378,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_177 ),
inference(avatar_component_clause,[],[f5377]) ).
thf(f5379,plain,
( spl2_92
| ~ spl2_176
| spl2_177
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f5362,f5310,f5377,f5374,f2448]) ).
thf(f5381,definition,
( spl2_178
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_178])],[avatar_definition]) ).
thf(f5382,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178 ),
inference(avatar_component_clause,[],[f5381]) ).
thf(f5384,definition,
( spl2_179
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).
thf(f5385,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_179 ),
inference(avatar_component_clause,[],[f5384]) ).
thf(f5403,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_169 ),
inference(constrained_superposition,[],[f3784,f5314]) ).
thf(f5418,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f5403]) ).
thf(f5425,definition,
( spl2_180
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_180])],[avatar_definition]) ).
thf(f5426,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_180 ),
inference(avatar_component_clause,[],[f5425]) ).
thf(f5428,definition,
( spl2_181
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).
thf(f5429,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_181 ),
inference(avatar_component_clause,[],[f5428]) ).
thf(f5433,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_169 ),
inference(forward_subsumption_resolution,[],[f5418,f2965]) ).
thf(f5439,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_156
| ~ spl2_169 ),
inference(constrained_superposition,[],[f4054,f5433]) ).
thf(f5446,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_38
| ~ spl2_110
| ~ spl2_169 ),
inference(constrained_superposition,[],[f1407,f5433]) ).
thf(f5459,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_156
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f5439]) ).
thf(f5467,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| ~ spl2_38
| ~ spl2_110
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f5446]) ).
thf(f5475,definition,
( spl2_182
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_182])],[avatar_definition]) ).
thf(f5476,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_182 ),
inference(avatar_component_clause,[],[f5475]) ).
thf(f5477,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_180 ),
inference(avatar_component_clause,[],[f5425]) ).
thf(f5478,plain,
( spl2_182
| spl2_180
| ~ spl2_38
| ~ spl2_110
| ~ spl2_156
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f5459,f5313,f4053,f2964,f429,f5425,f5475]) ).
thf(f5480,definition,
( spl2_183
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f5481,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_183 ),
inference(avatar_component_clause,[],[f5480]) ).
thf(f5484,definition,
( spl2_184
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f5485,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 ) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f5484]) ).
thf(f5491,definition,
( spl2_186
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f5492,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f5491]) ).
thf(f5494,definition,
( spl2_187
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_187])],[avatar_definition]) ).
thf(f5495,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_187 ),
inference(avatar_component_clause,[],[f5494]) ).
thf(f5496,plain,
( spl2_186
| spl2_187
| spl2_180
| ~ spl2_4
| ~ spl2_38
| ~ spl2_110
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f5467,f5313,f2964,f429,f89,f5425,f5494,f5491]) ).
thf(f5498,definition,
( spl2_188
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_188])],[avatar_definition]) ).
thf(f5499,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_188 ),
inference(avatar_component_clause,[],[f5498]) ).
thf(f5502,definition,
( spl2_189
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_189])],[avatar_definition]) ).
thf(f5503,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_189 ),
inference(avatar_component_clause,[],[f5502]) ).
thf(f5506,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_19
| ~ spl2_161
| spl2_180 ),
inference(constrained_superposition,[],[f5426,f4649]) ).
thf(f5510,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_19
| ~ spl2_161
| spl2_180 ),
inference(trivial_inequality_removal,[],[f5506]) ).
thf(f5513,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_19
| ~ spl2_161
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f5510,f41]) ).
thf(f5519,definition,
( spl2_191
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).
thf(f5520,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_191 ),
inference(avatar_component_clause,[],[f5519]) ).
thf(f5522,definition,
( spl2_192
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_192])],[avatar_definition]) ).
thf(f5523,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_192 ),
inference(avatar_component_clause,[],[f5522]) ).
thf(f5524,plain,
( spl2_191
| spl2_192
| ~ spl2_19
| ~ spl2_161
| spl2_180 ),
inference(avatar_split_clause,[],[f5513,f5425,f4158,f226,f5522,f5519]) ).
thf(f5545,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_176 ),
inference(constrained_superposition,[],[f5375,f188]) ).
thf(f5552,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_176 ),
inference(trivial_inequality_removal,[],[f5545]) ).
thf(f5554,definition,
( spl2_193
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).
thf(f5555,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_193 ),
inference(avatar_component_clause,[],[f5554]) ).
thf(f5559,plain,
( spl2_188
| spl2_176 ),
inference(avatar_split_clause,[],[f5552,f5374,f5498]) ).
thf(f5573,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_47
| ~ spl2_178 ),
inference(constrained_superposition,[],[f4445,f5382]) ).
thf(f5574,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_30
| ~ spl2_178 ),
inference(constrained_superposition,[],[f377,f5382]) ).
thf(f5580,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_30
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f5574]) ).
thf(f5582,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_20
| ~ spl2_47
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f5573]) ).
thf(f5602,plain,
( $false
| ~ spl2_30
| ~ spl2_132
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f5580,f3407]) ).
thf(f5603,plain,
( ~ spl2_30
| ~ spl2_132
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f5602]) ).
thf(f5604,plain,
( $false
| ~ spl2_20
| ~ spl2_47
| ~ spl2_84
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f5582,f2311]) ).
thf(f5605,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_84
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f5604]) ).
thf(f5612,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f341,f5311]) ).
thf(f5639,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f5612]) ).
thf(f5648,plain,
( spl2_177
| ~ spl2_176
| spl2_92
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f5639,f5310,f2448,f5374,f5377]) ).
thf(f5672,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_100
| ~ spl2_171 ),
inference(constrained_superposition,[],[f2737,f5321]) ).
thf(f5673,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_171 ),
inference(constrained_superposition,[],[f2067,f5321]) ).
thf(f5675,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_171 ),
inference(constrained_superposition,[],[f1406,f5321]) ).
thf(f5682,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_171 ),
inference(constrained_superposition,[],[f1656,f5321]) ).
thf(f5683,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f5682]) ).
thf(f5693,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f5673]) ).
thf(f5694,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_100
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f5672]) ).
thf(f5699,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f5675]) ).
thf(f5702,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f5683,f41]) ).
thf(f5704,definition,
( spl2_194
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_194])],[avatar_definition]) ).
thf(f5705,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_194 ),
inference(avatar_component_clause,[],[f5704]) ).
thf(f5707,definition,
( spl2_195
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_195])],[avatar_definition]) ).
thf(f5708,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_195 ),
inference(avatar_component_clause,[],[f5707]) ).
thf(f5710,definition,
( spl2_196
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_196])],[avatar_definition]) ).
thf(f5711,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_196 ),
inference(avatar_component_clause,[],[f5710]) ).
thf(f5714,definition,
( spl2_197
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_197])],[avatar_definition]) ).
thf(f5715,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_197 ),
inference(avatar_component_clause,[],[f5714]) ).
thf(f5717,definition,
( spl2_198
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).
thf(f5718,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_198 ),
inference(avatar_component_clause,[],[f5717]) ).
thf(f5728,definition,
( spl2_201
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).
thf(f5729,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_201 ),
inference(avatar_component_clause,[],[f5728]) ).
thf(f5731,definition,
( spl2_202
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_202])],[avatar_definition]) ).
thf(f5732,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_202 ),
inference(avatar_component_clause,[],[f5731]) ).
thf(f5734,definition,
( spl2_203
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_203])],[avatar_definition]) ).
thf(f5735,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_203 ),
inference(avatar_component_clause,[],[f5734]) ).
thf(f5736,plain,
( ~ spl2_201
| spl2_202
| ~ spl2_203
| ~ spl2_74
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f5693,f5320,f2066,f5734,f5731,f5728]) ).
thf(f5738,definition,
( spl2_204
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_204])],[avatar_definition]) ).
thf(f5739,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_204 ),
inference(avatar_component_clause,[],[f5738]) ).
thf(f5741,definition,
( spl2_205
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_205])],[avatar_definition]) ).
thf(f5742,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_205 ),
inference(avatar_component_clause,[],[f5741]) ).
thf(f5743,plain,
( spl2_204
| ~ spl2_205
| ~ spl2_203
| ~ spl2_100
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f5694,f5320,f2736,f5734,f5741,f5738]) ).
thf(f5745,definition,
( spl2_206
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_206])],[avatar_definition]) ).
thf(f5746,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_206 ),
inference(avatar_component_clause,[],[f5745]) ).
thf(f5749,definition,
( spl2_207
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_207])],[avatar_definition]) ).
thf(f5750,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_207 ),
inference(avatar_component_clause,[],[f5749]) ).
thf(f5752,definition,
( spl2_208
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_208])],[avatar_definition]) ).
thf(f5753,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_208 ),
inference(avatar_component_clause,[],[f5752]) ).
thf(f5755,definition,
( spl2_209
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_209])],[avatar_definition]) ).
thf(f5756,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_209 ),
inference(avatar_component_clause,[],[f5755]) ).
thf(f5758,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f5699,f41]) ).
thf(f5760,definition,
( spl2_210
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_210])],[avatar_definition]) ).
thf(f5761,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_210 ),
inference(avatar_component_clause,[],[f5760]) ).
thf(f5763,definition,
( spl2_211
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_211])],[avatar_definition]) ).
thf(f5764,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_211 ),
inference(avatar_component_clause,[],[f5763]) ).
thf(f5767,definition,
( spl2_212
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_212])],[avatar_definition]) ).
thf(f5768,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_212 ),
inference(avatar_component_clause,[],[f5767]) ).
thf(f5769,plain,
( spl2_212
| spl2_202
| spl2_206
| spl2_192
| spl2_211
| ~ spl2_4
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f5702,f5320,f89,f5763,f5522,f5745,f5731,f5767]) ).
thf(f5770,plain,
( ~ spl2_203
| spl2_206
| spl2_212
| spl2_202
| ~ spl2_4
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f5758,f5320,f89,f5731,f5767,f5745,f5734]) ).
thf(f5793,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_139 ),
inference(avatar_component_clause,[],[f3611]) ).
thf(f5794,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_211 ),
inference(avatar_component_clause,[],[f5763]) ).
thf(f5798,definition,
( spl2_213
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_213])],[avatar_definition]) ).
thf(f5799,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_213 ),
inference(avatar_component_clause,[],[f5798]) ).
thf(f5800,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_203 ),
inference(avatar_component_clause,[],[f5734]) ).
thf(f5804,definition,
( spl2_214
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_214])],[avatar_definition]) ).
thf(f5805,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_214 ),
inference(avatar_component_clause,[],[f5804]) ).
thf(f5808,definition,
( spl2_215
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_215])],[avatar_definition]) ).
thf(f5809,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_215 ),
inference(avatar_component_clause,[],[f5808]) ).
thf(f5811,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_211 ),
inference(constrained_superposition,[],[f5794,f50]) ).
thf(f5813,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_211 ),
inference(trivial_inequality_removal,[],[f5811]) ).
thf(f5815,plain,
( spl2_203
| spl2_211 ),
inference(avatar_split_clause,[],[f5813,f5763,f5734]) ).
thf(f5822,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_148
| ~ spl2_203 ),
inference(constrained_superposition,[],[f4495,f5800]) ).
thf(f5849,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_148
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f5822]) ).
thf(f5854,definition,
( spl2_216
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).
thf(f5855,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_216 ),
inference(avatar_component_clause,[],[f5854]) ).
thf(f5858,definition,
( spl2_217
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_217])],[avatar_definition]) ).
thf(f5859,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_217 ),
inference(avatar_component_clause,[],[f5858]) ).
thf(f5865,definition,
( spl2_219
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_219])],[avatar_definition]) ).
thf(f5866,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_219 ),
inference(avatar_component_clause,[],[f5865]) ).
thf(f5869,definition,
( spl2_220
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_220])],[avatar_definition]) ).
thf(f5870,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_220 ),
inference(avatar_component_clause,[],[f5869]) ).
thf(f5873,definition,
( spl2_221
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_221])],[avatar_definition]) ).
thf(f5874,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_221 ),
inference(avatar_component_clause,[],[f5873]) ).
thf(f5877,definition,
( spl2_222
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_222])],[avatar_definition]) ).
thf(f5878,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_222 ),
inference(avatar_component_clause,[],[f5877]) ).
thf(f5929,definition,
( spl2_224
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_224])],[avatar_definition]) ).
thf(f5930,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_224 ),
inference(avatar_component_clause,[],[f5929]) ).
thf(f5933,definition,
( spl2_225
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f5934,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f5933]) ).
thf(f5973,definition,
( spl2_226
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_226])],[avatar_definition]) ).
thf(f5974,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_226 ),
inference(avatar_component_clause,[],[f5973]) ).
thf(f5977,definition,
( spl2_227
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f5978,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_227 ),
inference(avatar_component_clause,[],[f5977]) ).
thf(f5984,definition,
( spl2_229
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_229])],[avatar_definition]) ).
thf(f5985,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_229 ),
inference(avatar_component_clause,[],[f5984]) ).
thf(f5988,definition,
( spl2_230
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_230])],[avatar_definition]) ).
thf(f5989,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_230 ),
inference(avatar_component_clause,[],[f5988]) ).
thf(f5993,definition,
( spl2_231
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_231])],[avatar_definition]) ).
thf(f5994,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_231 ),
inference(avatar_component_clause,[],[f5993]) ).
thf(f5997,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_47
| ~ spl2_202 ),
inference(constrained_superposition,[],[f692,f5732]) ).
thf(f6011,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f5997]) ).
thf(f6024,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_161
| ~ spl2_204 ),
inference(constrained_superposition,[],[f4159,f5739]) ).
thf(f6046,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_161
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f6024]) ).
thf(f6055,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_161
| ~ spl2_204 ),
inference(constrained_superposition,[],[f6046,f50]) ).
thf(f6057,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_161
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f6055]) ).
thf(f6062,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_170
| ~ spl2_202 ),
inference(constrained_superposition,[],[f6011,f5318]) ).
thf(f6063,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_202
| ~ spl2_204 ),
inference(constrained_superposition,[],[f6011,f5739]) ).
thf(f6070,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_170
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f6062]) ).
thf(f6072,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_202
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f6063]) ).
thf(f6078,plain,
( $false
| ~ spl2_47
| ~ spl2_170
| ~ spl2_202
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f6070,f5746]) ).
thf(f6079,plain,
( ~ spl2_47
| ~ spl2_170
| ~ spl2_202
| ~ spl2_206 ),
inference(avatar_contradiction_clause,[],[f6078]) ).
thf(f6080,plain,
( $false
| ~ spl2_20
| ~ spl2_47
| ~ spl2_202
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f6072,f247]) ).
thf(f6081,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_202
| ~ spl2_204 ),
inference(avatar_contradiction_clause,[],[f6080]) ).
thf(f6104,plain,
( spl2_139
| ~ spl2_161
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f6057,f5738,f4158,f3611]) ).
thf(f6106,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_139 ),
inference(constrained_superposition,[],[f3612,f29]) ).
thf(f6108,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_139 ),
inference(trivial_inequality_removal,[],[f6106]) ).
thf(f6109,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_139 ),
inference(forward_subsumption_resolution,[],[f6108,f41]) ).
thf(f6110,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| spl2_139
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4629,f6109]) ).
thf(f6125,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| spl2_139
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f6110]) ).
thf(f6126,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| spl2_139
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f6125,f41]) ).
thf(f6127,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| spl2_83
| spl2_139
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f6126,f5264]) ).
thf(f6128,plain,
( spl2_202
| ~ spl2_19
| spl2_83
| spl2_139
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f6127,f4158,f3611,f2307,f226,f5731]) ).
thf(f6131,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_170
| ~ spl2_212 ),
inference(constrained_superposition,[],[f5318,f5768]) ).
thf(f6161,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f76,f5768]) ).
thf(f6166,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_212 ),
inference(constrained_superposition,[],[f93,f5768]) ).
thf(f6173,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| ~ spl2_212 ),
inference(constrained_superposition,[],[f224,f5768]) ).
thf(f6176,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_212 ),
inference(constrained_superposition,[],[f440,f5768]) ).
thf(f6187,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f1673,f5768]) ).
thf(f6198,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_212 ),
inference(constrained_superposition,[],[f4261,f5768]) ).
thf(f6258,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_19
| ~ spl2_212 ),
inference(constrained_superposition,[],[f4502,f5768]) ).
thf(f6269,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_4
| ~ spl2_212 ),
inference(duplicate_literal_removal,[],[f6176]) ).
thf(f6271,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_212 ),
inference(duplicate_literal_removal,[],[f6198]) ).
thf(f6275,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_19
| spl2_150
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6258,f4025]) ).
thf(f6281,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| spl2_29
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6173,f3176]) ).
thf(f6288,definition,
( spl2_232
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f6289,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f6288]) ).
thf(f6291,definition,
( spl2_233
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_233])],[avatar_definition]) ).
thf(f6292,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_233 ),
inference(avatar_component_clause,[],[f6291]) ).
thf(f6299,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_10
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6161,f124]) ).
thf(f6302,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_121
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6187,f3321]) ).
thf(f6308,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_4
| spl2_150
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6269,f4025]) ).
thf(f6313,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| spl2_68
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6271,f1232]) ).
thf(f6315,plain,
( spl2_202
| ~ spl2_170
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f6131,f5767,f5317,f5731]) ).
thf(f6316,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| spl2_150
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6166,f4025]) ).
thf(f6318,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_19
| spl2_29
| spl2_150
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6275,f3176]) ).
thf(f6322,plain,
( $false
| ~ spl2_18
| spl2_29
| spl2_68
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6281,f1232]) ).
thf(f6323,plain,
( ~ spl2_18
| spl2_29
| spl2_68
| ~ spl2_212 ),
inference(avatar_contradiction_clause,[],[f6322]) ).
thf(f6328,plain,
( $false
| spl2_10
| spl2_150
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6299,f4025]) ).
thf(f6329,plain,
( spl2_10
| spl2_150
| ~ spl2_212 ),
inference(avatar_contradiction_clause,[],[f6328]) ).
thf(f6331,plain,
( spl2_232
| spl2_121
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f6302,f5767,f3320,f6288]) ).
thf(f6335,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| spl2_150
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6308,f421]) ).
thf(f6338,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| spl2_68
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6313,f385]) ).
thf(f6339,plain,
( $false
| ~ spl2_5
| spl2_149
| spl2_150
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6316,f4033]) ).
thf(f6340,plain,
( ~ spl2_5
| spl2_149
| spl2_150
| ~ spl2_212 ),
inference(avatar_contradiction_clause,[],[f6339]) ).
thf(f6342,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_19
| spl2_29
| spl2_150
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6318,f41]) ).
thf(f6346,plain,
( spl2_8
| ~ spl2_4
| spl2_150
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f6335,f5767,f4024,f89,f117]) ).
thf(f6348,plain,
( spl2_23
| ~ spl2_17
| spl2_68
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f6338,f5767,f1231,f219,f274]) ).
thf(f6351,plain,
( spl2_186
| ~ spl2_19
| spl2_29
| spl2_150
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f6342,f5767,f4024,f350,f226,f5491]) ).
thf(f6353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_47
| ~ spl2_202 ),
inference(constrained_superposition,[],[f692,f5732]) ).
thf(f6361,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f6353]) ).
thf(f6373,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_220 ),
inference(constrained_superposition,[],[f5870,f29]) ).
thf(f6374,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_220 ),
inference(trivial_inequality_removal,[],[f6373]) ).
thf(f6393,definition,
( spl2_234
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_234])],[avatar_definition]) ).
thf(f6394,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_234 ),
inference(avatar_component_clause,[],[f6393]) ).
thf(f6452,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_84
| ~ spl2_234 ),
inference(constrained_superposition,[],[f4669,f6394]) ).
thf(f6472,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_84
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f6452]) ).
thf(f6474,definition,
( spl2_236
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_236])],[avatar_definition]) ).
thf(f6475,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_236 ),
inference(avatar_component_clause,[],[f6474]) ).
thf(f6480,plain,
( $false
| ~ spl2_47
| ~ spl2_84
| ~ spl2_202
| ~ spl2_234 ),
inference(forward_subsumption_resolution,[],[f6472,f5732]) ).
thf(f6481,plain,
( ~ spl2_47
| ~ spl2_84
| ~ spl2_202
| ~ spl2_234 ),
inference(avatar_contradiction_clause,[],[f6480]) ).
thf(f6483,definition,
( spl2_237
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_237])],[avatar_definition]) ).
thf(f6484,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_237 ),
inference(avatar_component_clause,[],[f6483]) ).
thf(f6487,definition,
( spl2_238
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_238])],[avatar_definition]) ).
thf(f6488,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_238 ),
inference(avatar_component_clause,[],[f6487]) ).
thf(f6496,definition,
( spl2_239
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_239])],[avatar_definition]) ).
thf(f6497,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_239 ),
inference(avatar_component_clause,[],[f6496]) ).
thf(f6498,plain,
( spl2_239
| spl2_21
| spl2_20
| ~ spl2_4
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f3963,f219,f89,f246,f249,f6496]) ).
thf(f6500,definition,
( spl2_240
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_240])],[avatar_definition]) ).
thf(f6501,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_240 ),
inference(avatar_component_clause,[],[f6500]) ).
thf(f6528,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_29
| ~ spl2_44 ),
inference(constrained_superposition,[],[f632,f351]) ).
thf(f6540,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_29
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f6528]) ).
thf(f6546,plain,
( spl2_104
| ~ spl2_29
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f6540,f631,f350,f2755]) ).
thf(f6552,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_148 ),
inference(constrained_superposition,[],[f4495,f5793]) ).
thf(f6571,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_139
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f6552]) ).
thf(f6590,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f214,f188]) ).
thf(f6596,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f6590]) ).
thf(f6604,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_202
| ~ spl2_204 ),
inference(constrained_superposition,[],[f6361,f5739]) ).
thf(f6614,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_202
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f6604]) ).
thf(f6628,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_105
| ~ spl2_202
| ~ spl2_204 ),
inference(constrained_superposition,[],[f6614,f2760]) ).
thf(f6631,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_105
| ~ spl2_202
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f6628]) ).
thf(f6634,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_105
| spl2_149
| ~ spl2_202
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f6631,f4033]) ).
thf(f6639,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_105
| spl2_149
| ~ spl2_202
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f6634,f41]) ).
thf(f6640,plain,
( spl2_21
| ~ spl2_47
| ~ spl2_105
| spl2_149
| ~ spl2_202
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f6639,f5738,f5731,f4018,f2759,f691,f249]) ).
thf(f6653,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_104
| ~ spl2_204 ),
inference(constrained_superposition,[],[f2756,f5739]) ).
thf(f6662,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_26
| ~ spl2_104 ),
inference(constrained_superposition,[],[f2756,f290]) ).
thf(f6669,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_26
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f6662]) ).
thf(f6670,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_104
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f6653]) ).
thf(f6676,plain,
( $false
| ~ spl2_104
| ~ spl2_202
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f6670,f5732]) ).
thf(f6677,plain,
( ~ spl2_104
| ~ spl2_202
| ~ spl2_204 ),
inference(avatar_contradiction_clause,[],[f6676]) ).
thf(f6680,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_148
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f5849,f41]) ).
thf(f6681,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_220 ),
inference(forward_subsumption_resolution,[],[f6374,f41]) ).
thf(f6684,definition,
( spl2_244
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_244])],[avatar_definition]) ).
thf(f6685,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_244 ),
inference(avatar_component_clause,[],[f6684]) ).
thf(f6688,definition,
( spl2_245
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).
thf(f6689,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_245 ),
inference(avatar_component_clause,[],[f6688]) ).
thf(f6691,plain,
( ~ spl2_149
| spl2_26
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f6669,f2755,f285,f4018]) ).
thf(f6694,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_191 ),
inference(avatar_component_clause,[],[f5519]) ).
thf(f6697,definition,
( spl2_246
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_246])],[avatar_definition]) ).
thf(f6698,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_246 ),
inference(avatar_component_clause,[],[f6697]) ).
thf(f6703,definition,
( spl2_247
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_247])],[avatar_definition]) ).
thf(f6704,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_247 ),
inference(avatar_component_clause,[],[f6703]) ).
thf(f6714,definition,
( spl2_249
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_249])],[avatar_definition]) ).
thf(f6715,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_249 ),
inference(avatar_component_clause,[],[f6714]) ).
thf(f6716,plain,
( spl2_206
| spl2_212
| spl2_249
| ~ spl2_148
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f6680,f5734,f4015,f6714,f5767,f5745]) ).
thf(f6717,plain,
( spl2_249
| spl2_220 ),
inference(avatar_split_clause,[],[f6681,f5869,f6714]) ).
thf(f6719,definition,
( spl2_250
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_250])],[avatar_definition]) ).
thf(f6720,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_250 ),
inference(avatar_component_clause,[],[f6719]) ).
thf(f6742,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f96,f77]) ).
thf(f6745,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f6742]) ).
thf(f6747,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_191 ),
inference(constrained_superposition,[],[f6694,f29]) ).
thf(f6748,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_191 ),
inference(trivial_inequality_removal,[],[f6747]) ).
thf(f6749,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f6748,f41]) ).
thf(f6753,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_244 ),
inference(constrained_superposition,[],[f27,f6685]) ).
thf(f6756,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f6753]) ).
thf(f6770,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_247 ),
inference(constrained_superposition,[],[f6704,f77]) ).
thf(f6775,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_247 ),
inference(trivial_inequality_removal,[],[f6770]) ).
thf(f6786,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_234 ),
inference(constrained_superposition,[],[f3782,f6394]) ).
thf(f6789,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_234 ),
inference(constrained_superposition,[],[f3784,f6394]) ).
thf(f6795,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f6786]) ).
thf(f6798,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f6789]) ).
thf(f6799,plain,
( ~ spl2_250
| ~ spl2_38
| ~ spl2_110
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f6795,f6393,f2964,f429,f6719]) ).
thf(f6800,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| spl2_98
| ~ spl2_234 ),
inference(forward_subsumption_resolution,[],[f6798,f3384]) ).
thf(f6801,plain,
( ~ spl2_250
| ~ spl2_38
| spl2_98
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f6800,f6393,f2724,f429,f6719]) ).
thf(f6802,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_250 ),
inference(constrained_superposition,[],[f6720,f50]) ).
thf(f6805,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_250 ),
inference(trivial_inequality_removal,[],[f6802]) ).
thf(f6807,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_17 ),
inference(constrained_superposition,[],[f6745,f385]) ).
thf(f6808,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_203 ),
inference(constrained_superposition,[],[f6745,f5800]) ).
thf(f6812,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f6807]) ).
thf(f6814,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f6808]) ).
thf(f6815,plain,
( spl2_20
| ~ spl2_6
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f6812,f219,f95,f246]) ).
thf(f6817,plain,
( spl2_206
| ~ spl2_6
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f6814,f5734,f95,f5745]) ).
thf(f6822,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_110
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3679,f3407]) ).
thf(f6823,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_84
| ~ spl2_132 ),
inference(constrained_superposition,[],[f4675,f3407]) ).
thf(f6836,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_84
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f6823]) ).
thf(f6837,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_110
| ~ spl2_132 ),
inference(duplicate_literal_removal,[],[f6822]) ).
thf(f6838,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_110
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f6837]) ).
thf(f6840,plain,
( spl2_142
| ~ spl2_84
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f6836,f3406,f2310,f3718]) ).
thf(f6841,plain,
( spl2_113
| ~ spl2_110
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f6838,f3406,f2964,f3066]) ).
thf(f6844,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_94
| ~ spl2_115 ),
inference(constrained_superposition,[],[f3075,f2532]) ).
thf(f6851,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_94 ),
inference(constrained_superposition,[],[f27,f2532]) ).
thf(f6860,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f6851]) ).
thf(f6863,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_94
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f6844]) ).
thf(f6900,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_216 ),
inference(constrained_superposition,[],[f5855,f76]) ).
thf(f6902,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_216 ),
inference(constrained_superposition,[],[f5855,f187]) ).
thf(f6907,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f6900]) ).
thf(f6908,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f6902]) ).
thf(f6913,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f6907,f421]) ).
thf(f6914,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f6908,f385]) ).
thf(f6915,plain,
( spl2_246
| ~ spl2_4
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f6913,f5854,f89,f6697]) ).
thf(f6916,plain,
( spl2_198
| ~ spl2_17
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f6914,f5854,f219,f5717]) ).
thf(f6918,definition,
( spl2_252
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_252])],[avatar_definition]) ).
thf(f6919,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_252 ),
inference(avatar_component_clause,[],[f6918]) ).
thf(f6924,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_19
| ~ spl2_161
| ~ spl2_211 ),
inference(constrained_superposition,[],[f4629,f5764]) ).
thf(f6934,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_19
| ~ spl2_161
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f6924]) ).
thf(f6936,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_19
| ~ spl2_161
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f6934,f41]) ).
thf(f6937,plain,
( spl2_206
| spl2_186
| ~ spl2_19
| ~ spl2_161
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f6936,f5763,f4158,f226,f5491,f5745]) ).
thf(f6964,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_206 ),
inference(constrained_superposition,[],[f1015,f5746]) ).
thf(f6970,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f6964]) ).
thf(f6987,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_172
| ~ spl2_197 ),
inference(constrained_superposition,[],[f5715,f5325]) ).
thf(f7015,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_172
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f6987]) ).
thf(f7031,plain,
( ~ spl2_205
| ~ spl2_172
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f7015,f5714,f5324,f5741]) ).
thf(f7068,definition,
( spl2_254
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_254])],[avatar_definition]) ).
thf(f7069,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_254 ),
inference(avatar_component_clause,[],[f7068]) ).
thf(f7072,definition,
( spl2_255
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_255])],[avatar_definition]) ).
thf(f7073,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_255 ),
inference(avatar_component_clause,[],[f7072]) ).
thf(f7084,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_255 ),
inference(constrained_superposition,[],[f3782,f7073]) ).
thf(f7087,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_255 ),
inference(constrained_superposition,[],[f3784,f7073]) ).
thf(f7091,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f7084]) ).
thf(f7096,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f7087]) ).
thf(f7098,plain,
( $false
| ~ spl2_38
| ~ spl2_110
| spl2_191
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f7091,f6749]) ).
thf(f7099,plain,
( ~ spl2_38
| ~ spl2_110
| spl2_191
| ~ spl2_255 ),
inference(avatar_contradiction_clause,[],[f7098]) ).
thf(f7101,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| spl2_191
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f7096,f6749]) ).
thf(f7103,plain,
( $false
| ~ spl2_38
| spl2_98
| spl2_191
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f7101,f3384]) ).
thf(f7104,plain,
( ~ spl2_38
| spl2_98
| spl2_191
| ~ spl2_255 ),
inference(avatar_contradiction_clause,[],[f7103]) ).
thf(f7106,definition,
( spl2_256
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_256])],[avatar_definition]) ).
thf(f7107,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_256 ),
inference(avatar_component_clause,[],[f7106]) ).
thf(f7109,plain,
( ~ spl2_181
| ~ spl2_38
| ~ spl2_110
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f7091,f7072,f2964,f429,f5428]) ).
thf(f7110,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| spl2_98
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f7096,f3384]) ).
thf(f7111,plain,
( ~ spl2_181
| ~ spl2_38
| spl2_98
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f7110,f7072,f2724,f429,f5428]) ).
thf(f7112,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_181 ),
inference(constrained_superposition,[],[f5429,f50]) ).
thf(f7115,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_181 ),
inference(trivial_inequality_removal,[],[f7112]) ).
thf(f7117,plain,
( spl2_191
| spl2_181 ),
inference(avatar_split_clause,[],[f7115,f5428,f5519]) ).
thf(f7131,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f28,f5520]) ).
thf(f7139,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f7131]) ).
thf(f7157,definition,
( spl2_257
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_257])],[avatar_definition]) ).
thf(f7158,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_257 ),
inference(avatar_component_clause,[],[f7157]) ).
thf(f7170,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_221 ),
inference(constrained_superposition,[],[f5874,f51]) ).
thf(f7184,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f7170]) ).
thf(f7186,plain,
( spl2_249
| ~ spl2_7
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f7184,f5873,f113,f6714]) ).
thf(f7187,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_15
| ~ spl2_139 ),
inference(constrained_superposition,[],[f6596,f5793]) ).
thf(f7188,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_191 ),
inference(constrained_superposition,[],[f6596,f5520]) ).
thf(f7190,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f7187]) ).
thf(f7192,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f7188]) ).
thf(f7193,plain,
( spl2_204
| ~ spl2_15
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f7190,f3611,f213,f5738]) ).
thf(f7195,plain,
( spl2_188
| ~ spl2_15
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f7192,f5519,f213,f5498]) ).
thf(f7196,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_4
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f3960,f41]) ).
thf(f7197,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_20 ),
inference(avatar_component_clause,[],[f246]) ).
thf(f7200,plain,
( spl2_105
| spl2_29
| ~ spl2_4
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f7196,f219,f89,f350,f2759]) ).
thf(f7257,definition,
( spl2_258
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_258])],[avatar_definition]) ).
thf(f7258,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_258 ),
inference(avatar_component_clause,[],[f7257]) ).
thf(f7260,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_117 ),
inference(constrained_superposition,[],[f3307,f187]) ).
thf(f7265,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_117 ),
inference(trivial_inequality_removal,[],[f7260]) ).
thf(f7269,plain,
( spl2_178
| spl2_117 ),
inference(avatar_split_clause,[],[f7265,f3306,f5381]) ).
thf(f7289,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_20
| ~ spl2_94
| ~ spl2_115 ),
inference(forward_subsumption_resolution,[],[f6863,f247]) ).
thf(f7290,plain,
( spl2_65
| ~ spl2_20
| ~ spl2_94
| ~ spl2_115 ),
inference(avatar_split_clause,[],[f7289,f3074,f2531,f246,f1178]) ).
thf(f7294,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_217 ),
inference(constrained_superposition,[],[f5859,f76]) ).
thf(f7298,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_217 ),
inference(constrained_superposition,[],[f5859,f1673]) ).
thf(f7303,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f7294]) ).
thf(f7305,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f7298]) ).
thf(f7307,plain,
( ~ spl2_25
| spl2_246
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f7303,f5858,f6697,f281]) ).
thf(f7308,plain,
( spl2_208
| ~ spl2_77
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f7305,f5858,f2281,f5752]) ).
thf(f7311,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_170
| ~ spl2_214 ),
inference(constrained_superposition,[],[f5805,f5318]) ).
thf(f7320,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f7311]) ).
thf(f7325,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_246 ),
inference(avatar_component_clause,[],[f6697]) ).
thf(f7326,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_249 ),
inference(avatar_component_clause,[],[f6714]) ).
thf(f7327,plain,
( ~ spl2_246
| ~ spl2_249
| ~ spl2_170
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f7320,f5804,f5317,f6714,f6697]) ).
thf(f7351,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_70
| spl2_246 ),
inference(constrained_superposition,[],[f7325,f1554]) ).
thf(f7353,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_70
| spl2_246 ),
inference(trivial_inequality_removal,[],[f7351]) ).
thf(f7391,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_18
| ~ spl2_252 ),
inference(constrained_superposition,[],[f6919,f224]) ).
thf(f7406,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f7391]) ).
thf(f7418,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_18
| spl2_246
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f7406,f7325]) ).
thf(f7420,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_18
| spl2_26
| spl2_246
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f7418,f290]) ).
thf(f7422,plain,
( spl2_30
| ~ spl2_18
| spl2_26
| spl2_246
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f7420,f6918,f6697,f285,f223,f376]) ).
thf(f7471,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_194 ),
inference(constrained_superposition,[],[f632,f5705]) ).
thf(f7472,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_102
| ~ spl2_194 ),
inference(constrained_superposition,[],[f2749,f5705]) ).
thf(f7474,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_161
| ~ spl2_194 ),
inference(constrained_superposition,[],[f4159,f5705]) ).
thf(f7483,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_102
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f7472]) ).
thf(f7487,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_161
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f7474]) ).
thf(f7489,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f7471]) ).
thf(f7504,plain,
( ~ spl2_211
| ~ spl2_161
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f7487,f5704,f4158,f5763]) ).
thf(f7524,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_194
| ~ spl2_249 ),
inference(constrained_superposition,[],[f7489,f6715]) ).
thf(f7538,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_194
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f7524]) ).
thf(f7542,plain,
( $false
| spl2_26
| ~ spl2_44
| ~ spl2_194
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f7538,f290]) ).
thf(f7543,plain,
( spl2_26
| ~ spl2_44
| ~ spl2_194
| ~ spl2_249 ),
inference(avatar_contradiction_clause,[],[f7542]) ).
thf(f7548,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_70
| spl2_246 ),
inference(forward_subsumption_resolution,[],[f7353,f41]) ).
thf(f7549,plain,
( spl2_212
| spl2_249
| ~ spl2_70
| spl2_246 ),
inference(avatar_split_clause,[],[f7548,f6697,f1553,f6714,f5767]) ).
thf(f7553,definition,
( spl2_261
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_261])],[avatar_definition]) ).
thf(f7554,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_261 ),
inference(avatar_component_clause,[],[f7553]) ).
thf(f7555,plain,
( ~ spl2_246
| spl2_261
| ~ spl2_102
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f7483,f5704,f2748,f7553,f6697]) ).
thf(f7566,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_90
| ~ spl2_94 ),
inference(constrained_superposition,[],[f2339,f2532]) ).
thf(f7577,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_90
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f7566]) ).
thf(f7582,plain,
( $false
| ~ spl2_90
| ~ spl2_94
| ~ spl2_132 ),
inference(forward_subsumption_resolution,[],[f7577,f3407]) ).
thf(f7583,plain,
( ~ spl2_90
| ~ spl2_94
| ~ spl2_132 ),
inference(avatar_contradiction_clause,[],[f7582]) ).
thf(f7612,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_208 ),
inference(constrained_superposition,[],[f3782,f5753]) ).
thf(f7623,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f7612]) ).
thf(f7627,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_261 ),
inference(constrained_superposition,[],[f7554,f5328]) ).
thf(f7637,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f7627]) ).
thf(f7639,plain,
( $false
| ~ spl2_173
| ~ spl2_244
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f7637,f6685]) ).
thf(f7640,plain,
( ~ spl2_173
| ~ spl2_244
| ~ spl2_261 ),
inference(avatar_contradiction_clause,[],[f7639]) ).
thf(f7658,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_159 ),
inference(constrained_superposition,[],[f4068,f5793]) ).
thf(f7666,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_139
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f7658]) ).
thf(f7684,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_240 ),
inference(constrained_superposition,[],[f6501,f77]) ).
thf(f7687,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f7684]) ).
thf(f7697,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f7139,f187]) ).
thf(f7705,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f7697]) ).
thf(f7710,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84
| ~ spl2_94 ),
inference(constrained_superposition,[],[f6860,f2311]) ).
thf(f7715,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_94
| ~ spl2_161 ),
inference(constrained_superposition,[],[f6860,f4649]) ).
thf(f7719,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| ~ spl2_94
| ~ spl2_161 ),
inference(duplicate_literal_removal,[],[f7715]) ).
thf(f7720,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| ~ spl2_94
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f7719]) ).
thf(f7721,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84
| ~ spl2_94 ),
inference(duplicate_literal_removal,[],[f7710]) ).
thf(f7722,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f7721]) ).
thf(f7731,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| ~ spl2_94
| spl2_98
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f7720,f3384]) ).
thf(f7732,plain,
( spl2_47
| ~ spl2_84
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f7722,f2531,f2310,f691]) ).
thf(f7733,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| ~ spl2_94
| spl2_98
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f7731,f41]) ).
thf(f7734,plain,
( spl2_21
| spl2_47
| ~ spl2_19
| ~ spl2_94
| spl2_98
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f7733,f4158,f2724,f2531,f226,f691,f249]) ).
thf(f7735,plain,
( spl2_115
| spl2_94
| ~ spl2_18
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f4325,f2964,f223,f2531,f3074]) ).
thf(f7736,plain,
( spl2_109
| spl2_94
| ~ spl2_18
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f4839,f2310,f223,f2531,f2957]) ).
thf(f7737,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f96,f29]) ).
thf(f7740,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f96,f77]) ).
thf(f7742,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f7740]) ).
thf(f7744,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f7737]) ).
thf(f7747,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_67
| ~ spl2_258 ),
inference(constrained_superposition,[],[f1229,f7258]) ).
thf(f7751,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_67
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f7747]) ).
thf(f7756,plain,
( $false
| ~ spl2_67
| ~ spl2_254
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f7751,f7069]) ).
thf(f7757,plain,
( ~ spl2_67
| ~ spl2_254
| ~ spl2_258 ),
inference(avatar_contradiction_clause,[],[f7756]) ).
thf(f7811,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| ~ spl2_4
| ~ spl2_67
| ~ spl2_258 ),
inference(constrained_superposition,[],[f7751,f1525]) ).
thf(f7818,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_4
| ~ spl2_67
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f7811]) ).
thf(f7823,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| ~ spl2_4
| ~ spl2_67
| spl2_181
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f7818,f5429]) ).
thf(f7830,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_4
| ~ spl2_67
| spl2_181
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f7823,f41]) ).
thf(f7832,definition,
( spl2_263
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_263])],[avatar_definition]) ).
thf(f7833,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_263 ),
inference(avatar_component_clause,[],[f7832]) ).
thf(f7836,plain,
( spl2_184
| spl2_186
| ~ spl2_4
| ~ spl2_67
| spl2_181
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f7830,f7257,f5428,f1228,f89,f5491,f5484]) ).
thf(f7851,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_102
| ~ spl2_188 ),
inference(constrained_superposition,[],[f2749,f5499]) ).
thf(f7863,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_102
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f7851]) ).
thf(f7873,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_139 ),
inference(constrained_superposition,[],[f7742,f5793]) ).
thf(f7881,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f7873]) ).
thf(f7886,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_182 ),
inference(constrained_superposition,[],[f5476,f76]) ).
thf(f7888,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_182 ),
inference(constrained_superposition,[],[f5476,f187]) ).
thf(f7894,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f7888]) ).
thf(f7895,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f7886]) ).
thf(f7899,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_67
| ~ spl2_182
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f7895,f7751]) ).
thf(f7900,plain,
( $false
| ~ spl2_4
| ~ spl2_67
| ~ spl2_182
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f7899,f421]) ).
thf(f7901,plain,
( ~ spl2_4
| ~ spl2_67
| ~ spl2_182
| ~ spl2_258 ),
inference(avatar_contradiction_clause,[],[f7900]) ).
thf(f7902,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_254 ),
inference(avatar_component_clause,[],[f7068]) ).
thf(f7904,definition,
( spl2_264
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_264])],[avatar_definition]) ).
thf(f7905,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_264 ),
inference(avatar_component_clause,[],[f7904]) ).
thf(f7906,plain,
( ~ spl2_254
| spl2_264
| ~ spl2_102
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f7863,f5498,f2748,f7904,f7068]) ).
thf(f7907,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f7894,f385]) ).
thf(f7909,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_17
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f7705,f385]) ).
thf(f7910,plain,
( spl2_258
| ~ spl2_17
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f7907,f5475,f219,f7257]) ).
thf(f7912,plain,
( spl2_258
| spl2_179
| ~ spl2_17
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f7909,f5519,f219,f5384,f7257]) ).
thf(f7921,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_111
| ~ spl2_169 ),
inference(constrained_superposition,[],[f2968,f5314]) ).
thf(f7941,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_111
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f7921]) ).
thf(f7944,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_111
| ~ spl2_169
| ~ spl2_254 ),
inference(forward_subsumption_resolution,[],[f7941,f7069]) ).
thf(f7945,plain,
( spl2_264
| ~ spl2_111
| ~ spl2_169
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f7944,f7068,f5313,f2967,f7904]) ).
thf(f7947,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_70
| spl2_83
| ~ spl2_84 ),
inference(forward_subsumption_resolution,[],[f4826,f5264]) ).
thf(f7948,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_70
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f4327,f41]) ).
thf(f7951,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_70
| spl2_83
| ~ spl2_84 ),
inference(forward_subsumption_resolution,[],[f7947,f41]) ).
thf(f7952,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_70
| spl2_83
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f7948,f5264]) ).
thf(f7954,definition,
( spl2_265
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_265])],[avatar_definition]) ).
thf(f7955,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_265 ),
inference(avatar_component_clause,[],[f7954]) ).
thf(f7957,plain,
( spl2_132
| spl2_111
| ~ spl2_70
| spl2_83
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f7951,f2310,f2307,f1553,f2967,f3406]) ).
thf(f7958,plain,
( spl2_132
| spl2_265
| ~ spl2_70
| spl2_83
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f7952,f2964,f2307,f1553,f7954,f3406]) ).
thf(f7960,definition,
( spl2_266
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_266])],[avatar_definition]) ).
thf(f7961,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_266 ),
inference(avatar_component_clause,[],[f7960]) ).
thf(f8032,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_142
| ~ spl2_169 ),
inference(constrained_superposition,[],[f3719,f5314]) ).
thf(f8041,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_142
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f8032]) ).
thf(f8053,definition,
( spl2_268
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_268])],[avatar_definition]) ).
thf(f8054,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_268 ),
inference(avatar_component_clause,[],[f8053]) ).
thf(f8056,definition,
( spl2_269
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_269])],[avatar_definition]) ).
thf(f8057,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_269 ),
inference(avatar_component_clause,[],[f8056]) ).
thf(f8058,plain,
( spl2_268
| ~ spl2_269
| ~ spl2_142
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f8041,f5313,f3718,f8056,f8053]) ).
thf(f8064,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_115 ),
inference(constrained_superposition,[],[f3075,f224]) ).
thf(f8077,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_115 ),
inference(duplicate_literal_removal,[],[f8064]) ).
thf(f8078,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f8077]) ).
thf(f8082,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_258 ),
inference(avatar_component_clause,[],[f7257]) ).
thf(f8084,definition,
( spl2_270
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_270])],[avatar_definition]) ).
thf(f8085,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_270 ),
inference(avatar_component_clause,[],[f8084]) ).
thf(f8087,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_18
| spl2_258 ),
inference(constrained_superposition,[],[f8082,f224]) ).
thf(f8089,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_18
| spl2_258 ),
inference(trivial_inequality_removal,[],[f8087]) ).
thf(f8095,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_193 ),
inference(constrained_superposition,[],[f5314,f5555]) ).
thf(f8105,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_193
| ~ spl2_203 ),
inference(constrained_superposition,[],[f5800,f5555]) ).
thf(f8107,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_193
| ~ spl2_246 ),
inference(constrained_superposition,[],[f6698,f5555]) ).
thf(f8110,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_193
| ~ spl2_254 ),
inference(constrained_superposition,[],[f7069,f5555]) ).
thf(f8111,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193
| ~ spl2_255 ),
inference(constrained_superposition,[],[f7073,f5555]) ).
thf(f8113,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193
| spl2_269 ),
inference(constrained_superposition,[],[f8057,f5555]) ).
thf(f8122,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f188,f5555]) ).
thf(f8123,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f201,f5555]) ).
thf(f8124,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_18
| ~ spl2_193 ),
inference(constrained_superposition,[],[f224,f5555]) ).
thf(f8131,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f1673,f5555]) ).
thf(f8132,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f2250,f5555]) ).
thf(f8136,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_193 ),
inference(constrained_superposition,[],[f4118,f5555]) ).
thf(f8137,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_17
| ~ spl2_193 ),
inference(constrained_superposition,[],[f4261,f5555]) ).
thf(f8222,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_193 ),
inference(duplicate_literal_removal,[],[f8137]) ).
thf(f8223,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_193 ),
inference(duplicate_literal_removal,[],[f8123]) ).
thf(f8227,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_193 ),
inference(duplicate_literal_removal,[],[f8132]) ).
thf(f8233,plain,
( spl2_94
| ~ spl2_193
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f8107,f6697,f5554,f2531]) ).
thf(f8235,plain,
( spl2_92
| ~ spl2_193
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f8111,f7072,f5554,f2448]) ).
thf(f8236,plain,
( $false
| spl2_29
| ~ spl2_193
| ~ spl2_254 ),
inference(forward_subsumption_resolution,[],[f8110,f3176]) ).
thf(f8237,plain,
( spl2_29
| ~ spl2_193
| ~ spl2_254 ),
inference(avatar_contradiction_clause,[],[f8236]) ).
thf(f8238,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f8122,f272]) ).
thf(f8240,plain,
( $false
| spl2_98
| ~ spl2_193
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f8105,f3384]) ).
thf(f8241,plain,
( spl2_98
| ~ spl2_193
| ~ spl2_203 ),
inference(avatar_contradiction_clause,[],[f8240]) ).
thf(f8243,plain,
( $false
| spl2_26
| ~ spl2_193
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f8113,f290]) ).
thf(f8244,plain,
( spl2_26
| ~ spl2_193
| spl2_269 ),
inference(avatar_contradiction_clause,[],[f8243]) ).
thf(f8245,plain,
( spl2_178
| ~ spl2_169
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f8095,f5554,f5313,f5381]) ).
thf(f8252,plain,
( spl2_232
| spl2_233
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f8227,f5554,f6291,f6288]) ).
thf(f8256,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_121
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f8131,f3321]) ).
thf(f8268,plain,
( spl2_232
| spl2_121
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f8256,f5554,f3320,f6288]) ).
thf(f8278,definition,
( spl2_272
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_272])],[avatar_definition]) ).
thf(f8279,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_272 ),
inference(avatar_component_clause,[],[f8278]) ).
thf(f8280,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f1231]) ).
thf(f8282,plain,
( spl2_94
| ~ spl2_68
| spl2_30
| ~ spl2_18
| ~ spl2_115 ),
inference(avatar_split_clause,[],[f8078,f3074,f223,f376,f1231,f2531]) ).
thf(f8284,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| spl2_29
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f8124,f3176]) ).
thf(f8285,plain,
( spl2_68
| ~ spl2_14
| ~ spl2_19
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f8136,f5554,f226,f209,f1231]) ).
thf(f8286,plain,
( spl2_68
| spl2_272
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f8223,f5554,f8278,f1231]) ).
thf(f8287,plain,
( spl2_68
| spl2_22
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f8238,f5554,f271,f1231]) ).
thf(f8293,definition,
( spl2_274
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).
thf(f8294,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f8293]) ).
thf(f8296,plain,
( ~ spl2_211
| ~ spl2_38
| ~ spl2_110
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f7623,f5752,f2964,f429,f5763]) ).
thf(f8297,plain,
( spl2_254
| ~ spl2_18
| spl2_258 ),
inference(avatar_split_clause,[],[f8089,f7257,f223,f7068]) ).
thf(f8298,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f8222,f385]) ).
thf(f8301,plain,
( spl2_68
| ~ spl2_18
| spl2_29
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f8284,f5554,f350,f223,f1231]) ).
thf(f8302,plain,
( spl2_68
| spl2_23
| ~ spl2_17
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f8298,f5554,f219,f274,f1231]) ).
thf(f8309,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f7961,f29]) ).
thf(f8314,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f8309]) ).
thf(f8317,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_191 ),
inference(constrained_superposition,[],[f6694,f29]) ).
thf(f8318,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_191 ),
inference(trivial_inequality_removal,[],[f8317]) ).
thf(f8319,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f8318,f41]) ).
thf(f8348,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_126
| ~ spl2_232 ),
inference(constrained_superposition,[],[f3371,f6289]) ).
thf(f8350,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_142
| ~ spl2_232 ),
inference(constrained_superposition,[],[f3719,f6289]) ).
thf(f8354,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_232 ),
inference(constrained_superposition,[],[f3782,f6289]) ).
thf(f8357,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_232 ),
inference(constrained_superposition,[],[f3784,f6289]) ).
thf(f8359,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_126
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f8348]) ).
thf(f8360,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f8357]) ).
thf(f8363,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_142
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f8350]) ).
thf(f8365,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f8354]) ).
thf(f8371,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_110
| ~ spl2_126
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f8359,f2965]) ).
thf(f8372,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f8360,f50]) ).
thf(f8373,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_132 ),
inference(avatar_component_clause,[],[f3406]) ).
thf(f8374,plain,
( spl2_238
| ~ spl2_132
| ~ spl2_142
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f8363,f6288,f3718,f3406,f6487]) ).
thf(f8375,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_178 ),
inference(avatar_component_clause,[],[f5381]) ).
thf(f8377,definition,
( spl2_275
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_275])],[avatar_definition]) ).
thf(f8378,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_275 ),
inference(avatar_component_clause,[],[f8377]) ).
thf(f8380,plain,
( $false
| ~ spl2_38
| ~ spl2_110
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f8365,f2965]) ).
thf(f8381,plain,
( ~ spl2_38
| ~ spl2_110
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f8380]) ).
thf(f8383,plain,
( $false
| ~ spl2_84
| ~ spl2_110
| ~ spl2_126
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f8371,f2311]) ).
thf(f8384,plain,
( ~ spl2_84
| ~ spl2_110
| ~ spl2_126
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f8383]) ).
thf(f8385,plain,
( $false
| ~ spl2_38
| spl2_98
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f8372,f3384]) ).
thf(f8386,plain,
( ~ spl2_38
| spl2_98
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f8385]) ).
thf(f8423,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_152
| ~ spl2_188 ),
inference(constrained_superposition,[],[f4032,f5499]) ).
thf(f8424,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_161
| ~ spl2_188 ),
inference(constrained_superposition,[],[f4159,f5499]) ).
thf(f8434,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_152
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f8423]) ).
thf(f8437,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_161
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f8424]) ).
thf(f8442,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_152
| ~ spl2_180
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f8434,f5477]) ).
thf(f8443,plain,
( $false
| ~ spl2_161
| ~ spl2_188
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f8437,f8319]) ).
thf(f8444,plain,
( ~ spl2_161
| ~ spl2_188
| spl2_191 ),
inference(avatar_contradiction_clause,[],[f8443]) ).
thf(f8445,plain,
( $false
| ~ spl2_152
| ~ spl2_180
| ~ spl2_188
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f8442,f8319]) ).
thf(f8446,plain,
( ~ spl2_152
| ~ spl2_180
| ~ spl2_188
| spl2_191 ),
inference(avatar_contradiction_clause,[],[f8445]) ).
thf(f8457,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_191 ),
inference(constrained_superposition,[],[f7742,f5520]) ).
thf(f8462,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_148
| ~ spl2_191 ),
inference(constrained_superposition,[],[f4495,f5520]) ).
thf(f8486,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f8457]) ).
thf(f8493,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_148
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f8462]) ).
thf(f8501,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_254 ),
inference(constrained_superposition,[],[f27,f7069]) ).
thf(f8504,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f8501]) ).
thf(f8600,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_65
| ~ spl2_258 ),
inference(constrained_superposition,[],[f1179,f7258]) ).
thf(f8608,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_65
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f8600]) ).
thf(f8609,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_65
| ~ spl2_254
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f8608,f7069]) ).
thf(f8610,plain,
( ~ spl2_269
| ~ spl2_65
| ~ spl2_254
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f8609,f7257,f7068,f1178,f8056]) ).
thf(f8655,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_202
| ~ spl2_244 ),
inference(constrained_superposition,[],[f6756,f5732]) ).
thf(f8662,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_202
| ~ spl2_244 ),
inference(duplicate_literal_removal,[],[f8655]) ).
thf(f8663,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_202
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f8662]) ).
thf(f8671,plain,
( spl2_47
| ~ spl2_202
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f8663,f6684,f5731,f691]) ).
thf(f8747,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f1673,f5523]) ).
thf(f8828,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_121
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f8747,f3321]) ).
thf(f8870,plain,
( spl2_232
| spl2_121
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f8828,f5522,f3320,f6288]) ).
thf(f8935,definition,
( spl2_277
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_277])],[avatar_definition]) ).
thf(f8936,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_277 ),
inference(avatar_component_clause,[],[f8935]) ).
thf(f8940,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(constrained_superposition,[],[f632,f5739]) ).
thf(f8945,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_204 ),
inference(constrained_superposition,[],[f1015,f5739]) ).
thf(f8948,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f8940]) ).
thf(f8952,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_204 ),
inference(duplicate_literal_removal,[],[f8945]) ).
thf(f8953,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f8952]) ).
thf(f8961,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f5985,f51]) ).
thf(f8967,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f5985,f1673]) ).
thf(f8968,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f8967]) ).
thf(f8970,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f8961]) ).
thf(f8979,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_234 ),
inference(constrained_superposition,[],[f8948,f6394]) ).
thf(f8989,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f8979]) ).
thf(f9002,definition,
( spl2_278
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_278])],[avatar_definition]) ).
thf(f9003,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_278 ),
inference(avatar_component_clause,[],[f9002]) ).
thf(f9004,plain,
( spl2_278
| ~ spl2_7
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f8970,f5984,f113,f9002]) ).
thf(f9005,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_278 ),
inference(constrained_superposition,[],[f8948,f9003]) ).
thf(f9013,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f9005]) ).
thf(f9014,plain,
( $false
| spl2_26
| ~ spl2_44
| ~ spl2_204
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f9013,f290]) ).
thf(f9015,plain,
( spl2_26
| ~ spl2_44
| ~ spl2_204
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f9014]) ).
thf(f9016,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_7 ),
inference(constrained_superposition,[],[f114,f51]) ).
thf(f9018,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_7 ),
inference(trivial_inequality_removal,[],[f9016]) ).
thf(f9020,plain,
( $false
| spl2_7
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f9018,f4033]) ).
thf(f9021,plain,
( spl2_7
| spl2_149 ),
inference(avatar_contradiction_clause,[],[f9020]) ).
thf(f9027,definition,
( spl2_279
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).
thf(f9028,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_279 ),
inference(avatar_component_clause,[],[f9027]) ).
thf(f9030,plain,
( spl2_149
| spl2_7 ),
inference(avatar_split_clause,[],[f9018,f113,f4018]) ).
thf(f9049,definition,
( spl2_281
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_281])],[avatar_definition]) ).
thf(f9050,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_281 ),
inference(avatar_component_clause,[],[f9049]) ).
thf(f9069,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_180
| ~ spl2_254 ),
inference(constrained_superposition,[],[f8504,f5477]) ).
thf(f9074,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_148
| ~ spl2_254 ),
inference(constrained_superposition,[],[f8504,f4515]) ).
thf(f9075,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_148
| ~ spl2_254 ),
inference(duplicate_literal_removal,[],[f9074]) ).
thf(f9076,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_148
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f9075]) ).
thf(f9082,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_180
| ~ spl2_254 ),
inference(duplicate_literal_removal,[],[f9069]) ).
thf(f9083,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_180
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f9082]) ).
thf(f9085,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_148
| ~ spl2_254 ),
inference(forward_subsumption_resolution,[],[f9076,f41]) ).
thf(f9086,plain,
( spl2_47
| ~ spl2_180
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f9083,f7068,f5425,f691]) ).
thf(f9087,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_148
| ~ spl2_254
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f9085,f8057]) ).
thf(f9088,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_148
| spl2_181
| ~ spl2_254
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f9087,f5429]) ).
thf(f9089,plain,
( spl2_47
| spl2_186
| ~ spl2_148
| spl2_181
| ~ spl2_254
| spl2_269 ),
inference(avatar_split_clause,[],[f9088,f8056,f7068,f5428,f4015,f5491,f691]) ).
thf(f9090,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_148
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f8493,f41]) ).
thf(f9096,plain,
( spl2_180
| spl2_247 ),
inference(avatar_split_clause,[],[f6775,f6703,f5425]) ).
thf(f9097,plain,
( spl2_180
| ~ spl2_6
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f8486,f5519,f95,f5425]) ).
thf(f9098,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_148
| ~ spl2_191
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f9090,f8057]) ).
thf(f9099,plain,
( spl2_186
| spl2_180
| ~ spl2_148
| ~ spl2_191
| spl2_269 ),
inference(avatar_split_clause,[],[f9098,f8056,f5519,f4015,f5425,f5491]) ).
thf(f9105,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_186
| ~ spl2_188 ),
inference(constrained_superposition,[],[f5499,f5492]) ).
thf(f9107,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_186
| spl2_203 ),
inference(constrained_superposition,[],[f5735,f5492]) ).
thf(f9114,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_186
| spl2_269 ),
inference(constrained_superposition,[],[f8057,f5492]) ).
thf(f9142,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f76,f5492]) ).
thf(f9153,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_18
| ~ spl2_186 ),
inference(constrained_superposition,[],[f224,f5492]) ).
thf(f9156,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_186 ),
inference(constrained_superposition,[],[f440,f5492]) ).
thf(f9161,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f1673,f5492]) ).
thf(f9170,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_17
| ~ spl2_186 ),
inference(constrained_superposition,[],[f4261,f5492]) ).
thf(f9205,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( sK1 = X0 ) )
| ~ spl2_4
| ~ spl2_186 ),
inference(constrained_superposition,[],[f1516,f5492]) ).
thf(f9209,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| ~ spl2_186 ),
inference(constrained_superposition,[],[f2139,f5492]) ).
thf(f9220,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_19
| ~ spl2_186 ),
inference(constrained_superposition,[],[f4502,f5492]) ).
thf(f9227,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_186 ),
inference(duplicate_literal_removal,[],[f9156]) ).
thf(f9232,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_186 ),
inference(duplicate_literal_removal,[],[f9170]) ).
thf(f9236,plain,
( $false
| ~ spl2_17
| ~ spl2_186
| spl2_203 ),
inference(forward_subsumption_resolution,[],[f9107,f385]) ).
thf(f9237,plain,
( ~ spl2_17
| ~ spl2_186
| spl2_203 ),
inference(avatar_contradiction_clause,[],[f9236]) ).
thf(f9240,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_18
| spl2_68
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9153,f1232]) ).
thf(f9245,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_4
| spl2_40
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9209,f513]) ).
thf(f9246,plain,
( $false
| spl2_29
| ~ spl2_186
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f9105,f3176]) ).
thf(f9247,plain,
( spl2_29
| ~ spl2_186
| ~ spl2_188 ),
inference(avatar_contradiction_clause,[],[f9246]) ).
thf(f9248,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_4
| spl2_150
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9227,f4025]) ).
thf(f9254,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_121
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9161,f3321]) ).
thf(f9255,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_4
| spl2_150
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9205,f4025]) ).
thf(f9256,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_150
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9142,f4025]) ).
thf(f9260,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9232,f385]) ).
thf(f9261,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_19
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9220,f41]) ).
thf(f9264,plain,
( $false
| ~ spl2_149
| ~ spl2_186
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f9114,f4019]) ).
thf(f9265,plain,
( ~ spl2_149
| ~ spl2_186
| spl2_269 ),
inference(avatar_contradiction_clause,[],[f9264]) ).
thf(f9272,plain,
( $false
| ~ spl2_18
| spl2_29
| spl2_68
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9240,f3176]) ).
thf(f9273,plain,
( ~ spl2_18
| spl2_29
| spl2_68
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f9272]) ).
thf(f9280,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( sK1 = X0 ) )
| ~ spl2_4
| spl2_40
| spl2_150
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9245,f4025]) ).
thf(f9281,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| spl2_150
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9248,f421]) ).
thf(f9287,plain,
( spl2_232
| spl2_121
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f9254,f5491,f3320,f6288]) ).
thf(f9288,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_4
| spl2_150
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9255,f421]) ).
thf(f9289,plain,
( $false
| spl2_10
| spl2_150
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9256,f124]) ).
thf(f9290,plain,
( spl2_10
| spl2_150
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f9289]) ).
thf(f9291,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| spl2_68
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9260,f1232]) ).
thf(f9292,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19
| spl2_29
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9261,f3176]) ).
thf(f9294,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| spl2_40
| spl2_150
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9280,f41]) ).
thf(f9295,plain,
( spl2_8
| ~ spl2_4
| spl2_150
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f9281,f5491,f4024,f89,f117]) ).
thf(f9296,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_4
| spl2_150
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9288,f41]) ).
thf(f9297,plain,
( spl2_23
| ~ spl2_17
| spl2_68
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f9291,f5491,f1231,f219,f274]) ).
thf(f9298,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_19
| spl2_29
| spl2_150
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9292,f4025]) ).
thf(f9300,plain,
( spl2_70
| ~ spl2_4
| spl2_40
| spl2_150
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f9294,f5491,f4024,f512,f89,f1553]) ).
thf(f9301,plain,
( spl2_70
| ~ spl2_4
| spl2_150
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f9296,f5491,f4024,f89,f1553]) ).
thf(f9302,plain,
( spl2_192
| ~ spl2_19
| spl2_29
| spl2_150
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f9298,f5491,f4024,f350,f226,f5522]) ).
thf(f9312,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true ) )
| ~ spl2_4
| spl2_254 ),
inference(constrained_superposition,[],[f7902,f2139]) ).
thf(f9317,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_4
| spl2_254 ),
inference(trivial_inequality_removal,[],[f9312]) ).
thf(f9332,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_115
| ~ spl2_169 ),
inference(constrained_superposition,[],[f3075,f5314]) ).
thf(f9340,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_169 ),
inference(constrained_superposition,[],[f3784,f5314]) ).
thf(f9347,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_115
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f9332]) ).
thf(f9349,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f9340]) ).
thf(f9354,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_115
| ~ spl2_169
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f9347,f7258]) ).
thf(f9356,plain,
( spl2_270
| ~ spl2_115
| ~ spl2_169
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f9354,f7257,f5313,f3074,f8084]) ).
thf(f9358,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_189 ),
inference(constrained_superposition,[],[f5503,f51]) ).
thf(f9365,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_189 ),
inference(trivial_inequality_removal,[],[f9358]) ).
thf(f9374,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_180
| ~ spl2_270 ),
inference(constrained_superposition,[],[f8085,f5477]) ).
thf(f9382,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_180
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f9374]) ).
thf(f9389,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_180
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f9382,f247]) ).
thf(f9391,plain,
( $false
| ~ spl2_20
| ~ spl2_149
| ~ spl2_180
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f9389,f4019]) ).
thf(f9392,plain,
( ~ spl2_20
| ~ spl2_149
| ~ spl2_180
| ~ spl2_270 ),
inference(avatar_contradiction_clause,[],[f9391]) ).
thf(f9399,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_181 ),
inference(avatar_component_clause,[],[f5428]) ).
thf(f9404,definition,
( spl2_282
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_282])],[avatar_definition]) ).
thf(f9405,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_282 ),
inference(avatar_component_clause,[],[f9404]) ).
thf(f9409,definition,
( spl2_283
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_283])],[avatar_definition]) ).
thf(f9410,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_283 ),
inference(avatar_component_clause,[],[f9409]) ).
thf(f9413,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_4
| spl2_254 ),
inference(forward_subsumption_resolution,[],[f9317,f41]) ).
thf(f9416,plain,
( ~ spl2_110
| spl2_191
| ~ spl2_38
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f9349,f5313,f429,f5519,f2964]) ).
thf(f9422,plain,
( spl2_181
| spl2_184
| ~ spl2_4
| spl2_254 ),
inference(avatar_split_clause,[],[f9413,f7068,f89,f5484,f5428]) ).
thf(f9432,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_98 ),
inference(constrained_superposition,[],[f4261,f2725]) ).
thf(f9456,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f9432]) ).
thf(f9472,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_44
| ~ spl2_98
| ~ spl2_204
| ~ spl2_234 ),
inference(forward_subsumption_resolution,[],[f9456,f8989]) ).
thf(f9477,plain,
( spl2_78
| ~ spl2_17
| ~ spl2_44
| ~ spl2_98
| ~ spl2_204
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f9472,f6393,f5738,f2724,f631,f219,f2284]) ).
thf(f9482,plain,
( spl2_44
| spl2_244
| ~ spl2_18
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f8953,f5738,f223,f6684,f631]) ).
thf(f9485,definition,
( spl2_284
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_284])],[avatar_definition]) ).
thf(f9486,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_284 ),
inference(avatar_component_clause,[],[f9485]) ).
thf(f9492,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_269 ),
inference(avatar_component_clause,[],[f8056]) ).
thf(f9493,plain,
( spl2_269
| ~ spl2_7
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f9365,f5502,f113,f8056]) ).
thf(f9495,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_202 ),
inference(avatar_component_clause,[],[f5731]) ).
thf(f9497,definition,
( spl2_285
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_285])],[avatar_definition]) ).
thf(f9498,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_285 ),
inference(avatar_component_clause,[],[f9497]) ).
thf(f9500,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f6571,f41]) ).
thf(f9501,plain,
( ~ spl2_231
| spl2_202
| ~ spl2_139
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f7666,f4067,f3611,f5731,f5993]) ).
thf(f9503,plain,
( spl2_202
| ~ spl2_6
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f7881,f3611,f95,f5731]) ).
thf(f9505,definition,
( spl2_286
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_286])],[avatar_definition]) ).
thf(f9506,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_286 ),
inference(avatar_component_clause,[],[f9505]) ).
thf(f9508,plain,
( spl2_278
| spl2_192
| spl2_202
| ~ spl2_139
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f9500,f4015,f3611,f5731,f5522,f9002]) ).
thf(f9510,definition,
( spl2_287
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).
thf(f9511,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_287 ),
inference(avatar_component_clause,[],[f9510]) ).
thf(f9515,plain,
( spl2_139
| spl2_250 ),
inference(avatar_split_clause,[],[f6805,f6719,f3611]) ).
thf(f9560,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_231 ),
inference(constrained_superposition,[],[f5994,f51]) ).
thf(f9563,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_231 ),
inference(trivial_inequality_removal,[],[f9560]) ).
thf(f9565,plain,
( spl2_278
| spl2_231 ),
inference(avatar_split_clause,[],[f9563,f5993,f9002]) ).
thf(f9567,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f58,f9003]) ).
thf(f9569,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_278 ),
inference(duplicate_literal_removal,[],[f9567]) ).
thf(f9570,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f9569]) ).
thf(f9573,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_139
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f9570,f3612]) ).
thf(f9580,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_202 ),
inference(constrained_superposition,[],[f1015,f5732]) ).
thf(f9581,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_202 ),
inference(constrained_superposition,[],[f3784,f5732]) ).
thf(f9584,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f9581]) ).
thf(f9585,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f9580]) ).
thf(f9660,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_203 ),
inference(constrained_superposition,[],[f28,f5800]) ).
thf(f9679,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f9660]) ).
thf(f9730,plain,
( ~ spl2_75
| spl2_234
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f8968,f5984,f6393,f2273]) ).
thf(f9733,definition,
( spl2_288
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_288])],[avatar_definition]) ).
thf(f9734,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_288 ),
inference(avatar_component_clause,[],[f9733]) ).
thf(f9737,definition,
( spl2_289
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_289])],[avatar_definition]) ).
thf(f9738,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_289 ),
inference(avatar_component_clause,[],[f9737]) ).
thf(f9745,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_139
| ~ spl2_192 ),
inference(constrained_superposition,[],[f3612,f5523]) ).
thf(f9748,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_173
| ~ spl2_192 ),
inference(constrained_superposition,[],[f5328,f5523]) ).
thf(f9749,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_192
| ~ spl2_202 ),
inference(constrained_superposition,[],[f5732,f5523]) ).
thf(f9750,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_192
| ~ spl2_206 ),
inference(constrained_superposition,[],[f5746,f5523]) ).
thf(f9752,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_192
| ~ spl2_203 ),
inference(constrained_superposition,[],[f5800,f5523]) ).
thf(f9753,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_192
| ~ spl2_229 ),
inference(constrained_superposition,[],[f5985,f5523]) ).
thf(f9758,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_278 ),
inference(constrained_superposition,[],[f9003,f5523]) ).
thf(f9785,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f76,f5523]) ).
thf(f9790,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f176,f5523]) ).
thf(f9799,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_4
| ~ spl2_192 ),
inference(constrained_superposition,[],[f440,f5523]) ).
thf(f9806,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f2250,f5523]) ).
thf(f9813,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_192 ),
inference(constrained_superposition,[],[f4261,f5523]) ).
thf(f9852,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_4
| ~ spl2_192 ),
inference(constrained_superposition,[],[f2139,f5523]) ).
thf(f9863,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_19
| ~ spl2_192 ),
inference(constrained_superposition,[],[f4502,f5523]) ).
thf(f9869,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_17
| ~ spl2_192 ),
inference(duplicate_literal_removal,[],[f9813]) ).
thf(f9873,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_192 ),
inference(duplicate_literal_removal,[],[f9799]) ).
thf(f9874,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_192 ),
inference(duplicate_literal_removal,[],[f9806]) ).
thf(f9875,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_229 ),
inference(duplicate_literal_removal,[],[f9753]) ).
thf(f9876,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_192 ),
inference(duplicate_literal_removal,[],[f9790]) ).
thf(f9880,plain,
( spl2_84
| ~ spl2_173
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f9748,f5522,f5327,f2310]) ).
thf(f9884,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f9869,f385]) ).
thf(f9886,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_4
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f9852,f41]) ).
thf(f9888,definition,
( spl2_290
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_290])],[avatar_definition]) ).
thf(f9889,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_290 ),
inference(avatar_component_clause,[],[f9888]) ).
thf(f9890,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_150 ),
inference(avatar_component_clause,[],[f4024]) ).
thf(f9893,plain,
( $false
| ~ spl2_4
| spl2_139
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f9745,f421]) ).
thf(f9894,plain,
( ~ spl2_4
| spl2_139
| ~ spl2_192 ),
inference(avatar_contradiction_clause,[],[f9893]) ).
thf(f9895,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_10
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f9785,f124]) ).
thf(f9898,definition,
( spl2_291
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_291])],[avatar_definition]) ).
thf(f9899,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_291 ),
inference(avatar_component_clause,[],[f9898]) ).
thf(f9901,plain,
( spl2_98
| ~ spl2_192
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f9752,f5734,f5522,f2724]) ).
thf(f9906,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f9873,f421]) ).
thf(f9907,plain,
( spl2_232
| spl2_233
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f9874,f5522,f6291,f6288]) ).
thf(f9909,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f9863,f41]) ).
thf(f9913,plain,
( spl2_8
| ~ spl2_192
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f9875,f5984,f5522,f117]) ).
thf(f9914,plain,
( spl2_150
| ~ spl2_192
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f9749,f5731,f5522,f4024]) ).
thf(f9920,plain,
( spl2_150
| spl2_291
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f9876,f5522,f9898,f4024]) ).
thf(f9924,plain,
( $false
| spl2_149
| ~ spl2_192
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f9758,f4033]) ).
thf(f9925,plain,
( spl2_149
| ~ spl2_192
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f9924]) ).
thf(f9927,plain,
( spl2_84
| ~ spl2_192
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f9750,f5745,f5522,f2310]) ).
thf(f9935,plain,
( spl2_68
| spl2_23
| ~ spl2_17
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f9884,f5522,f219,f274,f1231]) ).
thf(f9937,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_4
| spl2_40
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f9886,f513]) ).
thf(f9939,plain,
( spl2_150
| spl2_10
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f9895,f5522,f123,f4024]) ).
thf(f9940,plain,
( spl2_8
| spl2_150
| ~ spl2_4
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f9906,f5522,f89,f4024,f117]) ).
thf(f9941,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19
| spl2_29
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f9909,f3176]) ).
thf(f9950,plain,
( spl2_150
| spl2_70
| ~ spl2_4
| spl2_40
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f9937,f5522,f512,f89,f1553,f4024]) ).
thf(f9951,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19
| spl2_29
| spl2_83
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f9941,f5264]) ).
thf(f9953,plain,
( spl2_150
| ~ spl2_19
| spl2_29
| spl2_83
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f9951,f5522,f2307,f350,f226,f4024]) ).
thf(f9956,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_150 ),
inference(constrained_superposition,[],[f27,f9890]) ).
thf(f9957,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f9956]) ).
thf(f9972,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_98 ),
inference(constrained_superposition,[],[f7744,f2725]) ).
thf(f9973,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_98
| ~ spl2_148 ),
inference(constrained_superposition,[],[f4495,f2725]) ).
thf(f9995,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_98
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f9973]) ).
thf(f9996,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f9972]) ).
thf(f10012,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| spl2_83
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f9996,f5264]) ).
thf(f10021,plain,
( spl2_84
| ~ spl2_6
| spl2_83
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f10012,f2724,f2307,f95,f2310]) ).
thf(f10035,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_38
| spl2_139
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f9584,f3612]) ).
thf(f10040,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_98
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f9995,f41]) ).
thf(f10043,plain,
( ~ spl2_40
| ~ spl2_38
| spl2_139
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f10035,f5731,f3611,f429,f512]) ).
thf(f10048,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_83
| ~ spl2_98
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f10040,f5264]) ).
thf(f10055,plain,
( spl2_84
| spl2_132
| spl2_83
| ~ spl2_98
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f10048,f4015,f2724,f2307,f3406,f2310]) ).
thf(f10059,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_40 ),
inference(constrained_superposition,[],[f513,f50]) ).
thf(f10061,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_40 ),
inference(trivial_inequality_removal,[],[f10059]) ).
thf(f10071,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_54 ),
inference(constrained_superposition,[],[f58,f821]) ).
thf(f10077,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_54 ),
inference(duplicate_literal_removal,[],[f10071]) ).
thf(f10078,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f10077]) ).
thf(f10086,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_94 ),
inference(constrained_superposition,[],[f27,f2532]) ).
thf(f10089,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f10086]) ).
thf(f10091,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_43
| ~ spl2_68 ),
inference(constrained_superposition,[],[f628,f8280]) ).
thf(f10103,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_68 ),
inference(duplicate_literal_removal,[],[f10091]) ).
thf(f10104,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f10103]) ).
thf(f10108,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_20
| ~ spl2_43
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f10104,f247]) ).
thf(f10109,plain,
( spl2_104
| ~ spl2_20
| ~ spl2_43
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f10108,f1231,f627,f246,f2755]) ).
thf(f10112,plain,
( spl2_244
| spl2_43
| ~ spl2_18
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f9585,f5731,f223,f627,f6684]) ).
thf(f10135,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_93
| ~ spl2_94 ),
inference(constrained_superposition,[],[f2532,f2452]) ).
thf(f10140,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_93
| spl2_139 ),
inference(constrained_superposition,[],[f3612,f2452]) ).
thf(f10141,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_93
| ~ spl2_140 ),
inference(constrained_superposition,[],[f3615,f2452]) ).
thf(f10145,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_93
| ~ spl2_202 ),
inference(constrained_superposition,[],[f5732,f2452]) ).
thf(f10146,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_93
| ~ spl2_206 ),
inference(constrained_superposition,[],[f5746,f2452]) ).
thf(f10147,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_93
| spl2_211 ),
inference(constrained_superposition,[],[f5794,f2452]) ).
thf(f10148,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_93
| ~ spl2_203 ),
inference(constrained_superposition,[],[f5800,f2452]) ).
thf(f10149,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| ~ spl2_229 ),
inference(constrained_superposition,[],[f5985,f2452]) ).
thf(f10177,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_93 ),
inference(constrained_superposition,[],[f4261,f2452]) ).
thf(f10263,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_17
| ~ spl2_93 ),
inference(duplicate_literal_removal,[],[f10177]) ).
thf(f10266,plain,
( spl2_118
| ~ spl2_93
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f10149,f5984,f2451,f3310]) ).
thf(f10267,plain,
( spl2_84
| ~ spl2_93
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f10145,f5731,f2451,f2310]) ).
thf(f10273,plain,
( $false
| spl2_29
| ~ spl2_93
| ~ spl2_94 ),
inference(forward_subsumption_resolution,[],[f10135,f3176]) ).
thf(f10274,plain,
( spl2_29
| ~ spl2_93
| ~ spl2_94 ),
inference(avatar_contradiction_clause,[],[f10273]) ).
thf(f10276,plain,
( $false
| ~ spl2_93
| ~ spl2_140
| spl2_178 ),
inference(forward_subsumption_resolution,[],[f10141,f8375]) ).
thf(f10277,plain,
( ~ spl2_93
| ~ spl2_140
| spl2_178 ),
inference(avatar_contradiction_clause,[],[f10276]) ).
thf(f10281,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| spl2_68
| ~ spl2_93 ),
inference(forward_subsumption_resolution,[],[f10263,f1232]) ).
thf(f10282,plain,
( $false
| ~ spl2_93
| ~ spl2_98
| spl2_139 ),
inference(forward_subsumption_resolution,[],[f10140,f2725]) ).
thf(f10283,plain,
( ~ spl2_93
| ~ spl2_98
| spl2_139 ),
inference(avatar_contradiction_clause,[],[f10282]) ).
thf(f10284,plain,
( ~ spl2_181
| ~ spl2_93
| spl2_211 ),
inference(avatar_split_clause,[],[f10147,f5763,f2451,f5428]) ).
thf(f10286,plain,
( $false
| ~ spl2_93
| spl2_191
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f10148,f6694]) ).
thf(f10287,plain,
( ~ spl2_93
| spl2_191
| ~ spl2_203 ),
inference(avatar_contradiction_clause,[],[f10286]) ).
thf(f10288,plain,
( spl2_180
| ~ spl2_93
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f10146,f5745,f2451,f5425]) ).
thf(f10300,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| spl2_68
| ~ spl2_93 ),
inference(forward_subsumption_resolution,[],[f10281,f385]) ).
thf(f10304,plain,
( spl2_23
| ~ spl2_17
| spl2_68
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f10300,f2451,f1231,f219,f274]) ).
thf(f10322,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_195 ),
inference(constrained_superposition,[],[f5708,f188]) ).
thf(f10324,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_195 ),
inference(constrained_superposition,[],[f5708,f52]) ).
thf(f10326,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_195 ),
inference(trivial_inequality_removal,[],[f10322]) ).
thf(f10327,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_195 ),
inference(trivial_inequality_removal,[],[f10324]) ).
thf(f10330,plain,
( spl2_204
| spl2_195 ),
inference(avatar_split_clause,[],[f10326,f5707,f5738]) ).
thf(f10331,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_83
| spl2_195 ),
inference(forward_subsumption_resolution,[],[f10327,f5264]) ).
thf(f10334,definition,
( spl2_299
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_299])],[avatar_definition]) ).
thf(f10335,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_299 ),
inference(avatar_component_clause,[],[f10334]) ).
thf(f10337,plain,
( spl2_204
| spl2_83
| spl2_195 ),
inference(avatar_split_clause,[],[f10331,f5707,f2307,f5738]) ).
thf(f10366,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_130 ),
inference(constrained_superposition,[],[f3396,f187]) ).
thf(f10370,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f10366]) ).
thf(f10378,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_130 ),
inference(forward_subsumption_resolution,[],[f10370,f385]) ).
thf(f10379,plain,
( spl2_178
| ~ spl2_17
| ~ spl2_130 ),
inference(avatar_split_clause,[],[f10378,f3395,f219,f5381]) ).
thf(f10391,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_19
| ~ spl2_237 ),
inference(constrained_superposition,[],[f6484,f4502]) ).
thf(f10399,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f10391]) ).
thf(f10400,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f10399,f41]) ).
thf(f10401,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19
| spl2_26
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f10400,f290]) ).
thf(f10402,plain,
( spl2_21
| spl2_84
| ~ spl2_19
| spl2_26
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f10401,f6483,f285,f226,f2310,f249]) ).
thf(f10404,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_209 ),
inference(constrained_superposition,[],[f5756,f78]) ).
thf(f10410,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_209 ),
inference(trivial_inequality_removal,[],[f10404]) ).
thf(f10412,definition,
( spl2_300
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_300])],[avatar_definition]) ).
thf(f10413,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_300 ),
inference(avatar_component_clause,[],[f10412]) ).
thf(f10415,definition,
( spl2_301
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_301])],[avatar_definition]) ).
thf(f10416,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_301 ),
inference(avatar_component_clause,[],[f10415]) ).
thf(f10420,plain,
( spl2_301
| spl2_21
| spl2_209 ),
inference(avatar_split_clause,[],[f10410,f5755,f249,f10415]) ).
thf(f10426,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_301 ),
inference(constrained_superposition,[],[f3784,f10416]) ).
thf(f10430,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f10426]) ).
thf(f10435,definition,
( spl2_302
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).
thf(f10436,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_302 ),
inference(avatar_component_clause,[],[f10435]) ).
thf(f10475,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_226 ),
inference(constrained_superposition,[],[f5974,f1673]) ).
thf(f10483,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f10475]) ).
thf(f10485,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_98
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f10483,f2725]) ).
thf(f10487,plain,
( spl2_234
| ~ spl2_98
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f10485,f5973,f2724,f6393]) ).
thf(f10493,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_194 ),
inference(constrained_superposition,[],[f1015,f5705]) ).
thf(f10502,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_194 ),
inference(duplicate_literal_removal,[],[f10493]) ).
thf(f10503,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f10502]) ).
thf(f10507,plain,
( spl2_43
| spl2_246
| ~ spl2_18
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f6970,f5745,f223,f6697,f627]) ).
thf(f10509,plain,
( spl2_44
| spl2_246
| ~ spl2_18
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f10503,f5704,f223,f6697,f631]) ).
thf(f10513,definition,
( spl2_303
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_303])],[avatar_definition]) ).
thf(f10514,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_303 ),
inference(avatar_component_clause,[],[f10513]) ).
thf(f10532,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_205 ),
inference(constrained_superposition,[],[f5742,f188]) ).
thf(f10535,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_205 ),
inference(constrained_superposition,[],[f5742,f29]) ).
thf(f10538,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_205 ),
inference(trivial_inequality_removal,[],[f10532]) ).
thf(f10539,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_205 ),
inference(trivial_inequality_removal,[],[f10535]) ).
thf(f10572,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5934,f5328]) ).
thf(f10573,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_194
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5934,f5705]) ).
thf(f10583,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f10572]) ).
thf(f10584,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_194
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f10573]) ).
thf(f10586,plain,
( $false
| ~ spl2_173
| ~ spl2_225
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f10583,f9003]) ).
thf(f10587,plain,
( ~ spl2_173
| ~ spl2_225
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f10586]) ).
thf(f10588,plain,
( $false
| spl2_26
| ~ spl2_194
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f10584,f290]) ).
thf(f10589,plain,
( spl2_26
| ~ spl2_194
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f10588]) ).
thf(f10696,definition,
( spl2_304
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_304])],[avatar_definition]) ).
thf(f10697,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_304 ),
inference(avatar_component_clause,[],[f10696]) ).
thf(f10699,definition,
( spl2_305
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_305])],[avatar_definition]) ).
thf(f10700,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_305 ),
inference(avatar_component_clause,[],[f10699]) ).
thf(f10702,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_201 ),
inference(constrained_superposition,[],[f5729,f77]) ).
thf(f10707,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_201 ),
inference(trivial_inequality_removal,[],[f10702]) ).
thf(f10708,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_305 ),
inference(constrained_superposition,[],[f10700,f185]) ).
thf(f10713,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_305 ),
inference(trivial_inequality_removal,[],[f10708]) ).
thf(f10717,definition,
( spl2_306
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_306])],[avatar_definition]) ).
thf(f10718,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f10717]) ).
thf(f10720,definition,
( spl2_307
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_307])],[avatar_definition]) ).
thf(f10721,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_307 ),
inference(avatar_component_clause,[],[f10720]) ).
thf(f10723,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_305 ),
inference(forward_subsumption_resolution,[],[f10713,f41]) ).
thf(f10726,plain,
( spl2_307
| spl2_305 ),
inference(avatar_split_clause,[],[f10723,f10699,f10720]) ).
thf(f10767,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_139
| ~ spl2_140
| ~ spl2_278 ),
inference(constrained_superposition,[],[f9573,f3615]) ).
thf(f10768,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| spl2_139
| ~ spl2_278 ),
inference(constrained_superposition,[],[f9573,f224]) ).
thf(f10779,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_18
| spl2_139
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f10768]) ).
thf(f10782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_139
| ~ spl2_140
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f10767]) ).
thf(f10790,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_18
| spl2_26
| spl2_139
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f10779,f290]) ).
thf(f10791,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_26
| spl2_139
| ~ spl2_140
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f10782,f290]) ).
thf(f10792,plain,
( spl2_244
| spl2_30
| ~ spl2_18
| spl2_26
| spl2_139
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f10790,f9002,f3611,f285,f223,f376,f6684]) ).
thf(f10793,plain,
( spl2_30
| spl2_26
| spl2_139
| ~ spl2_140
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f10791,f9002,f3614,f3611,f285,f376]) ).
thf(f10794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_258
| ~ spl2_289 ),
inference(constrained_superposition,[],[f9738,f7258]) ).
thf(f10810,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_258
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f10794]) ).
thf(f10817,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| spl2_26
| ~ spl2_258
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f10810,f290]) ).
thf(f10819,plain,
( spl2_30
| spl2_26
| ~ spl2_258
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f10817,f9737,f7257,f285,f376]) ).
thf(f10825,plain,
( $false
| ~ spl2_54
| spl2_132 ),
inference(forward_subsumption_resolution,[],[f8373,f821]) ).
thf(f10826,plain,
( ~ spl2_54
| spl2_132 ),
inference(avatar_contradiction_clause,[],[f10825]) ).
thf(f10827,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f4413,f41]) ).
thf(f10829,definition,
( spl2_308
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).
thf(f10830,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f10829]) ).
thf(f10832,definition,
( spl2_309
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_309])],[avatar_definition]) ).
thf(f10833,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_309 ),
inference(avatar_component_clause,[],[f10832]) ).
thf(f10834,plain,
( spl2_308
| spl2_309 ),
inference(avatar_split_clause,[],[f339,f10832,f10829]) ).
thf(f10835,plain,
( ~ spl2_7
| spl2_308
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f4119,f226,f10829,f113]) ).
thf(f10836,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| spl2_31 ),
inference(forward_subsumption_resolution,[],[f1725,f380]) ).
thf(f10837,plain,
( spl2_149
| spl2_308
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f10827,f226,f10829,f4018]) ).
thf(f10839,definition,
( spl2_310
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_310])],[avatar_definition]) ).
thf(f10840,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_310 ),
inference(avatar_component_clause,[],[f10839]) ).
thf(f10841,plain,
( spl2_310
| spl2_308
| spl2_31 ),
inference(avatar_split_clause,[],[f10836,f379,f10829,f10839]) ).
thf(f10843,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f27,f4019]) ).
thf(f10846,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f10843]) ).
thf(f10862,plain,
( ( $true != $true )
| ~ spl2_66
| spl2_254 ),
inference(constrained_superposition,[],[f7902,f1182]) ).
thf(f10869,plain,
( $false
| ~ spl2_66
| spl2_254 ),
inference(trivial_inequality_removal,[],[f10862]) ).
thf(f10870,plain,
( ~ spl2_66
| spl2_254 ),
inference(avatar_contradiction_clause,[],[f10869]) ).
thf(f10874,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f27,f5382]) ).
thf(f10878,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f10874]) ).
thf(f10904,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_308 ),
inference(avatar_component_clause,[],[f10829]) ).
thf(f10911,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| spl2_308 ),
inference(constrained_superposition,[],[f10904,f1853]) ).
thf(f10914,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| spl2_308 ),
inference(trivial_inequality_removal,[],[f10911]) ).
thf(f10916,plain,
( spl2_154
| ~ spl2_4
| spl2_308 ),
inference(avatar_split_clause,[],[f10914,f10829,f89,f4040]) ).
thf(f10936,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f5761,f187]) ).
thf(f10948,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f10936]) ).
thf(f10953,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_194 ),
inference(constrained_superposition,[],[f628,f5705]) ).
thf(f10963,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f10953]) ).
thf(f10970,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_194
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f10963,f5746]) ).
thf(f11045,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_150 ),
inference(constrained_superposition,[],[f9957,f9890]) ).
thf(f11050,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_150 ),
inference(duplicate_literal_removal,[],[f11045]) ).
thf(f11051,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f11050]) ).
thf(f11060,plain,
( spl2_47
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f11051,f4024,f691]) ).
thf(f11168,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_203 ),
inference(constrained_superposition,[],[f9679,f1673]) ).
thf(f11169,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_171
| ~ spl2_203 ),
inference(constrained_superposition,[],[f9679,f5321]) ).
thf(f11174,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f11168]) ).
thf(f11177,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_171
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f11169]) ).
thf(f11179,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_98
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f11174,f2725]) ).
thf(f11180,plain,
( spl2_208
| spl2_304
| ~ spl2_98
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f11179,f5734,f2724,f10696,f5752]) ).
thf(f11181,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_43
| ~ spl2_194
| ~ spl2_206
| ~ spl2_208 ),
inference(constrained_superposition,[],[f10970,f5753]) ).
thf(f11192,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_43
| ~ spl2_194
| ~ spl2_206
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f11181]) ).
thf(f11200,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_92 ),
inference(avatar_component_clause,[],[f2448]) ).
thf(f11201,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_84 ),
inference(avatar_component_clause,[],[f2310]) ).
thf(f11202,plain,
( ~ spl2_92
| ~ spl2_84
| ~ spl2_43
| ~ spl2_194
| ~ spl2_206
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f11192,f5752,f5745,f5704,f627,f2310,f2448]) ).
thf(f11227,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19
| spl2_92 ),
inference(constrained_superposition,[],[f11200,f4502]) ).
thf(f11229,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| spl2_92 ),
inference(trivial_inequality_removal,[],[f11227]) ).
thf(f11231,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| spl2_84
| spl2_92 ),
inference(forward_subsumption_resolution,[],[f11229,f11201]) ).
thf(f11233,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_19
| spl2_84
| spl2_92 ),
inference(forward_subsumption_resolution,[],[f11231,f41]) ).
thf(f11234,plain,
( spl2_21
| ~ spl2_19
| spl2_84
| spl2_92 ),
inference(avatar_split_clause,[],[f11233,f2448,f2310,f226,f249]) ).
thf(f11285,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_302
| ~ spl2_307 ),
inference(constrained_superposition,[],[f10436,f10721]) ).
thf(f11305,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_302
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f11285]) ).
thf(f11313,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_188 ),
inference(avatar_component_clause,[],[f5498]) ).
thf(f11315,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_204 ),
inference(avatar_component_clause,[],[f5738]) ).
thf(f11317,definition,
( spl2_312
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_312])],[avatar_definition]) ).
thf(f11318,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_312 ),
inference(avatar_component_clause,[],[f11317]) ).
thf(f11320,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_194
| ~ spl2_302
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f11305,f5705]) ).
thf(f11338,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_194
| ~ spl2_206
| ~ spl2_302
| ~ spl2_307 ),
inference(constrained_superposition,[],[f11320,f5746]) ).
thf(f11339,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_194
| ~ spl2_302
| ~ spl2_307 ),
inference(constrained_superposition,[],[f11320,f10721]) ).
thf(f11346,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_194
| ~ spl2_302
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f11339]) ).
thf(f11350,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_206
| ~ spl2_302
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f11338]) ).
thf(f11353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_236 ),
inference(constrained_superposition,[],[f6475,f224]) ).
thf(f11362,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f11353]) ).
thf(f11375,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_92
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f11362,f2449]) ).
thf(f11377,plain,
( spl2_244
| spl2_275
| ~ spl2_18
| ~ spl2_92
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f11375,f6474,f2448,f223,f8377,f6684]) ).
thf(f11395,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_178
| ~ spl2_208 ),
inference(constrained_superposition,[],[f10878,f5753]) ).
thf(f11396,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92
| ~ spl2_178 ),
inference(constrained_superposition,[],[f10878,f2449]) ).
thf(f11397,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_19
| ~ spl2_178 ),
inference(constrained_superposition,[],[f10878,f4502]) ).
thf(f11401,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_19
| ~ spl2_178 ),
inference(duplicate_literal_removal,[],[f11397]) ).
thf(f11402,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f11401]) ).
thf(f11405,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92
| ~ spl2_178 ),
inference(duplicate_literal_removal,[],[f11396]) ).
thf(f11406,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f11405]) ).
thf(f11407,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_178
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f11395]) ).
thf(f11408,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19
| spl2_84
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f11402,f11201]) ).
thf(f11409,plain,
( spl2_44
| ~ spl2_92
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f11406,f5381,f2448,f631]) ).
thf(f11410,plain,
( spl2_284
| ~ spl2_178
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f11407,f5752,f5381,f9485]) ).
thf(f11411,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19
| spl2_84
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f11408,f41]) ).
thf(f11412,plain,
( spl2_21
| spl2_44
| ~ spl2_19
| spl2_84
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f11411,f5381,f2310,f226,f631,f249]) ).
thf(f11415,definition,
( spl2_315
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_315])],[avatar_definition]) ).
thf(f11416,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_315 ),
inference(avatar_component_clause,[],[f11415]) ).
thf(f11420,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_232 ),
inference(avatar_component_clause,[],[f6288]) ).
thf(f11421,plain,
( ~ spl2_232
| ~ spl2_92
| ~ spl2_194
| ~ spl2_302
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f11346,f10720,f10435,f5704,f2448,f6288]) ).
thf(f11425,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_94
| ~ spl2_194
| ~ spl2_206
| ~ spl2_302
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f11350,f2532]) ).
thf(f11432,plain,
( ~ spl2_29
| ~ spl2_94
| ~ spl2_194
| ~ spl2_206
| ~ spl2_302
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f11425,f10720,f10435,f5745,f5704,f2531,f350]) ).
thf(f11441,plain,
( ~ spl2_139
| spl2_196
| ~ spl2_171
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f11177,f5734,f5320,f5710,f3611]) ).
thf(f11444,definition,
( spl2_316
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_316])],[avatar_definition]) ).
thf(f11445,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_316 ),
inference(avatar_component_clause,[],[f11444]) ).
thf(f11448,definition,
( spl2_317
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_317])],[avatar_definition]) ).
thf(f11449,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_317 ),
inference(avatar_component_clause,[],[f11448]) ).
thf(f11450,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_250 ),
inference(avatar_component_clause,[],[f6719]) ).
thf(f11481,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| spl2_83 ),
inference(constrained_superposition,[],[f5264,f250]) ).
thf(f11600,plain,
( $false
| ~ spl2_21
| spl2_83 ),
inference(forward_subsumption_resolution,[],[f11481,f250]) ).
thf(f11601,plain,
( ~ spl2_21
| spl2_83 ),
inference(avatar_contradiction_clause,[],[f11600]) ).
thf(f11681,plain,
( spl2_20
| spl2_19
| ~ spl2_4
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f3964,f219,f89,f226,f246]) ).
thf(f11694,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f118,f77]) ).
thf(f11697,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f11694]) ).
thf(f11704,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f27,f351]) ).
thf(f11710,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f11704]) ).
thf(f11713,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f27,f247]) ).
thf(f11716,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f11713]) ).
thf(f11717,plain,
( spl2_290
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f11716,f246,f9888]) ).
thf(f11718,plain,
( ( $true != $true )
| ~ spl2_8
| spl2_84 ),
inference(constrained_superposition,[],[f11201,f11697]) ).
thf(f11720,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_94 ),
inference(constrained_superposition,[],[f10089,f11697]) ).
thf(f11726,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_94 ),
inference(duplicate_literal_removal,[],[f11720]) ).
thf(f11727,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f11726]) ).
thf(f11729,plain,
( $false
| ~ spl2_8
| spl2_84 ),
inference(trivial_inequality_removal,[],[f11718]) ).
thf(f11730,plain,
( ~ spl2_8
| spl2_84 ),
inference(avatar_contradiction_clause,[],[f11729]) ).
thf(f11732,plain,
( spl2_47
| ~ spl2_8
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f11727,f2531,f117,f691]) ).
thf(f11814,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92
| ~ spl2_94 ),
inference(constrained_superposition,[],[f10089,f2449]) ).
thf(f11818,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_92 ),
inference(constrained_superposition,[],[f27,f2449]) ).
thf(f11823,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_92
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f11814]) ).
thf(f11826,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f11818]) ).
thf(f11830,plain,
( spl2_43
| ~ spl2_92
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f11823,f2531,f2448,f627]) ).
thf(f11843,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| spl2_178 ),
inference(constrained_superposition,[],[f8375,f224]) ).
thf(f11845,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| spl2_178 ),
inference(trivial_inequality_removal,[],[f11843]) ).
thf(f11885,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_94
| ~ spl2_234 ),
inference(constrained_superposition,[],[f10089,f6394]) ).
thf(f11894,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_94
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f11885]) ).
thf(f11907,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_54
| ~ spl2_255 ),
inference(constrained_superposition,[],[f10078,f7073]) ).
thf(f11921,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_54
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f11907]) ).
thf(f12116,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_85 ),
inference(constrained_superposition,[],[f2316,f77]) ).
thf(f12121,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f12116]) ).
thf(f12124,plain,
( spl2_76
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f12121,f2315,f2276]) ).
thf(f12192,definition,
( spl2_319
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_319])],[avatar_definition]) ).
thf(f12193,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_319 ),
inference(avatar_component_clause,[],[f12192]) ).
thf(f12203,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_43
| ~ spl2_194 ),
inference(constrained_superposition,[],[f628,f5705]) ).
thf(f12219,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f12203]) ).
thf(f12264,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_55
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f10833,f848]) ).
thf(f12298,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_55
| ~ spl2_309 ),
inference(constrained_superposition,[],[f12264,f1673]) ).
thf(f12302,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f12298]) ).
thf(f12311,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) )
| ~ spl2_55
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f12302,f848]) ).
thf(f12312,plain,
( spl2_319
| ~ spl2_55
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f12311,f10832,f847,f12192]) ).
thf(f12318,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_20
| ~ spl2_29 ),
inference(constrained_superposition,[],[f11710,f247]) ).
thf(f12320,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_29 ),
inference(duplicate_literal_removal,[],[f12318]) ).
thf(f12321,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f12320]) ).
thf(f12328,plain,
( spl2_47
| ~ spl2_20
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f12321,f350,f246,f691]) ).
thf(f12448,plain,
( spl2_206
| spl2_201 ),
inference(avatar_split_clause,[],[f10707,f5728,f5745]) ).
thf(f12450,definition,
( spl2_321
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_321])],[avatar_definition]) ).
thf(f12451,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_321 ),
inference(avatar_component_clause,[],[f12450]) ).
thf(f12453,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_206 ),
inference(avatar_component_clause,[],[f5745]) ).
thf(f12455,definition,
( spl2_322
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_322])],[avatar_definition]) ).
thf(f12456,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_322 ),
inference(avatar_component_clause,[],[f12455]) ).
thf(f12457,plain,
( ~ spl2_206
| spl2_322
| ~ spl2_43
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f12219,f5704,f627,f12455,f5745]) ).
thf(f12500,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92
| ~ spl2_290 ),
inference(constrained_superposition,[],[f9889,f2449]) ).
thf(f12511,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f12500]) ).
thf(f12519,definition,
( spl2_323
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_323])],[avatar_definition]) ).
thf(f12520,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_323 ),
inference(avatar_component_clause,[],[f12519]) ).
thf(f12533,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_92
| ~ spl2_234
| ~ spl2_290 ),
inference(constrained_superposition,[],[f12511,f6394]) ).
thf(f12541,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92
| ~ spl2_234
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f12533]) ).
thf(f12576,definition,
( spl2_324
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_324])],[avatar_definition]) ).
thf(f12577,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_324 ),
inference(avatar_component_clause,[],[f12576]) ).
thf(f12585,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_290
| ~ spl2_308 ),
inference(constrained_superposition,[],[f9889,f10830]) ).
thf(f12595,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_290
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f12585]) ).
thf(f12597,plain,
( spl2_323
| ~ spl2_290
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f12595,f10829,f9888,f12519]) ).
thf(f12622,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_172
| ~ spl2_229 ),
inference(constrained_superposition,[],[f5985,f5325]) ).
thf(f12656,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_172
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f12622]) ).
thf(f12675,plain,
( ~ spl2_201
| ~ spl2_172
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f12656,f5984,f5324,f5728]) ).
thf(f12688,definition,
( spl2_325
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_325])],[avatar_definition]) ).
thf(f12689,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_325 ),
inference(avatar_component_clause,[],[f12688]) ).
thf(f12690,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_244 ),
inference(avatar_component_clause,[],[f6684]) ).
thf(f12691,plain,
( spl2_325
| ~ spl2_244
| ~ spl2_92
| ~ spl2_234
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f12541,f9888,f6393,f2448,f6684,f12688]) ).
thf(f12695,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_54
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f11921,f821]) ).
thf(f12708,plain,
( spl2_191
| spl2_237
| ~ spl2_54
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f12695,f7072,f820,f6483,f5519]) ).
thf(f12788,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_54
| ~ spl2_244 ),
inference(constrained_superposition,[],[f10078,f6685]) ).
thf(f12791,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_244 ),
inference(constrained_superposition,[],[f27,f6685]) ).
thf(f12792,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f12791]) ).
thf(f12793,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_54
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f12788]) ).
thf(f12799,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_254 ),
inference(constrained_superposition,[],[f27,f7069]) ).
thf(f12801,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f12799]) ).
thf(f12825,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_304 ),
inference(constrained_superposition,[],[f10697,f187]) ).
thf(f12832,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f12825]) ).
thf(f12882,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_324 ),
inference(constrained_superposition,[],[f12577,f1673]) ).
thf(f12889,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_324 ),
inference(trivial_inequality_removal,[],[f12882]) ).
thf(f12901,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_196
| ~ spl2_306 ),
inference(constrained_superposition,[],[f5711,f10718]) ).
thf(f12902,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_198
| ~ spl2_306 ),
inference(constrained_superposition,[],[f5718,f10718]) ).
thf(f12904,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_206
| ~ spl2_306 ),
inference(constrained_superposition,[],[f5746,f10718]) ).
thf(f12913,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f2250,f10718]) ).
thf(f12916,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f1673,f10718]) ).
thf(f13027,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_306 ),
inference(duplicate_literal_removal,[],[f12913]) ).
thf(f13030,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| spl2_232
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f13027,f11420]) ).
thf(f13031,plain,
( spl2_207
| ~ spl2_196
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f12901,f10717,f5710,f5749]) ).
thf(f13032,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_121
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f12916,f3321]) ).
thf(f13035,plain,
( $false
| spl2_178
| ~ spl2_198
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f12902,f8375]) ).
thf(f13036,plain,
( spl2_178
| ~ spl2_198
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f13035]) ).
thf(f13041,plain,
( $false
| spl2_84
| ~ spl2_206
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f12904,f11201]) ).
thf(f13042,plain,
( spl2_84
| ~ spl2_206
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f13041]) ).
thf(f13044,plain,
( spl2_233
| spl2_232
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f13030,f10717,f6288,f6291]) ).
thf(f13045,plain,
( $false
| spl2_121
| spl2_232
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f13032,f11420]) ).
thf(f13046,plain,
( spl2_121
| spl2_232
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f13045]) ).
thf(f13079,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_92
| ~ spl2_323 ),
inference(constrained_superposition,[],[f12520,f2449]) ).
thf(f13091,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_92
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f13079]) ).
thf(f13100,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_54
| ~ spl2_92
| ~ spl2_323 ),
inference(forward_subsumption_resolution,[],[f13091,f821]) ).
thf(f13106,plain,
( spl2_238
| ~ spl2_54
| ~ spl2_92
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f13100,f12519,f2448,f820,f6487]) ).
thf(f13203,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_244 ),
inference(constrained_superposition,[],[f12792,f5318]) ).
thf(f13206,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_170
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f13203]) ).
thf(f13210,plain,
( spl2_286
| ~ spl2_170
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f13206,f6684,f5317,f9505]) ).
thf(f13211,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_140
| ~ spl2_321 ),
inference(constrained_superposition,[],[f12451,f3615]) ).
thf(f13241,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_140
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f13211]) ).
thf(f13246,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_140
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f13241,f247]) ).
thf(f13252,definition,
( spl2_329
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_329])],[avatar_definition]) ).
thf(f13253,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_329 ),
inference(avatar_component_clause,[],[f13252]) ).
thf(f13255,plain,
( spl2_285
| ~ spl2_20
| ~ spl2_140
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f13246,f12450,f3614,f246,f9497]) ).
thf(f13257,plain,
( spl2_321
| ~ spl2_94
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f11894,f6393,f2531,f12450]) ).
thf(f13293,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_54
| ~ spl2_285 ),
inference(constrained_superposition,[],[f9498,f821]) ).
thf(f13304,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_54
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f13293]) ).
thf(f13319,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_172
| ~ spl2_226 ),
inference(constrained_superposition,[],[f5974,f5325]) ).
thf(f13354,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_172
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f13319]) ).
thf(f13367,plain,
( $false
| ~ spl2_172
| ~ spl2_203
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f13354,f5800]) ).
thf(f13368,plain,
( ~ spl2_172
| ~ spl2_203
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f13367]) ).
thf(f13373,plain,
( spl2_194
| spl2_205 ),
inference(avatar_split_clause,[],[f10538,f5741,f5704]) ).
thf(f13374,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_54
| ~ spl2_149
| ~ spl2_285 ),
inference(forward_subsumption_resolution,[],[f13304,f4019]) ).
thf(f13380,plain,
( spl2_281
| spl2_194
| spl2_205 ),
inference(avatar_split_clause,[],[f10539,f5741,f5704,f9049]) ).
thf(f13383,plain,
( ~ spl2_308
| ~ spl2_54
| ~ spl2_149
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f13374,f9497,f4018,f820,f10829]) ).
thf(f13415,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_325 ),
inference(constrained_superposition,[],[f12689,f5328]) ).
thf(f13421,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_173 ),
inference(constrained_superposition,[],[f3784,f5328]) ).
thf(f13428,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f13415]) ).
thf(f13429,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f13421]) ).
thf(f13432,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_194 ),
inference(avatar_component_clause,[],[f5704]) ).
thf(f13433,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_208 ),
inference(avatar_component_clause,[],[f5752]) ).
thf(f13434,plain,
( ~ spl2_194
| ~ spl2_208
| ~ spl2_173
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f13428,f12688,f5327,f5752,f5704]) ).
thf(f13565,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_216 ),
inference(constrained_superposition,[],[f5855,f1673]) ).
thf(f13568,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f13565]) ).
thf(f13574,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_98
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f13568,f2725]) ).
thf(f13577,plain,
( spl2_208
| ~ spl2_98
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f13574,f5854,f2724,f5752]) ).
thf(f13581,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_92
| ~ spl2_208
| ~ spl2_290 ),
inference(constrained_superposition,[],[f12511,f5753]) ).
thf(f13588,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_92
| ~ spl2_208
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f13581]) ).
thf(f13626,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_173
| ~ spl2_321 ),
inference(constrained_superposition,[],[f12451,f5328]) ).
thf(f13649,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_173
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f13626]) ).
thf(f13655,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_173
| ~ spl2_206
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f13649,f5746]) ).
thf(f13656,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_198
| ~ spl2_206
| ~ spl2_321 ),
inference(constrained_superposition,[],[f13655,f5718]) ).
thf(f13679,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_198
| ~ spl2_206
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f13656]) ).
thf(f13685,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_20
| ~ spl2_173
| ~ spl2_198
| ~ spl2_206
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f13679,f247]) ).
thf(f13690,plain,
( $false
| ~ spl2_20
| ~ spl2_140
| ~ spl2_173
| ~ spl2_198
| ~ spl2_206
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f13685,f3615]) ).
thf(f13691,plain,
( ~ spl2_20
| ~ spl2_140
| ~ spl2_173
| ~ spl2_198
| ~ spl2_206
| ~ spl2_321 ),
inference(avatar_contradiction_clause,[],[f13690]) ).
thf(f13734,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_54
| ~ spl2_92 ),
inference(constrained_superposition,[],[f11826,f821]) ).
thf(f13738,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_54
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f13734]) ).
thf(f13755,definition,
( spl2_331
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_331])],[avatar_definition]) ).
thf(f13756,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_331 ),
inference(avatar_component_clause,[],[f13755]) ).
thf(f13772,plain,
( spl2_331
| ~ spl2_54
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f13738,f2448,f820,f13755]) ).
thf(f13824,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_210 ),
inference(forward_subsumption_resolution,[],[f10948,f385]) ).
thf(f13826,definition,
( spl2_333
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_333])],[avatar_definition]) ).
thf(f13827,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_333 ),
inference(avatar_component_clause,[],[f13826]) ).
thf(f13829,plain,
( spl2_198
| ~ spl2_117
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f12832,f10696,f3306,f5717]) ).
thf(f13830,plain,
( ~ spl2_250
| spl2_203
| ~ spl2_38
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f13429,f5327,f429,f5734,f6719]) ).
thf(f13834,definition,
( spl2_334
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_334])],[avatar_definition]) ).
thf(f13835,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_334 ),
inference(avatar_component_clause,[],[f13834]) ).
thf(f13840,plain,
( spl2_198
| ~ spl2_195
| ~ spl2_17
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f13824,f5760,f219,f5707,f5717]) ).
thf(f13845,definition,
( spl2_335
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_335])],[avatar_definition]) ).
thf(f13846,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_335 ),
inference(avatar_component_clause,[],[f13845]) ).
thf(f13849,definition,
( spl2_336
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_336])],[avatar_definition]) ).
thf(f13850,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_336 ),
inference(avatar_component_clause,[],[f13849]) ).
thf(f13851,plain,
( spl2_336
| ~ spl2_246
| ~ spl2_92
| ~ spl2_208
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f13588,f9888,f5752,f2448,f6697,f13849]) ).
thf(f13857,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_335 ),
inference(constrained_superposition,[],[f13846,f76]) ).
thf(f13859,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_335 ),
inference(constrained_superposition,[],[f13846,f29]) ).
thf(f13860,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_335 ),
inference(trivial_inequality_removal,[],[f13857]) ).
thf(f13861,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_335 ),
inference(trivial_inequality_removal,[],[f13859]) ).
thf(f13864,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_180
| ~ spl2_266 ),
inference(constrained_superposition,[],[f5426,f8314]) ).
thf(f13865,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_206
| ~ spl2_266 ),
inference(constrained_superposition,[],[f12453,f8314]) ).
thf(f13866,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| spl2_202
| ~ spl2_266 ),
inference(constrained_superposition,[],[f9495,f8314]) ).
thf(f13867,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_84
| ~ spl2_266 ),
inference(constrained_superposition,[],[f11201,f8314]) ).
thf(f13871,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_254
| ~ spl2_266 ),
inference(constrained_superposition,[],[f12801,f8314]) ).
thf(f13879,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_202
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f13866]) ).
thf(f13884,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_254
| ~ spl2_266 ),
inference(duplicate_literal_removal,[],[f13871]) ).
thf(f13885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_254
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f13884]) ).
thf(f13886,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_180
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f13864]) ).
thf(f13887,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_84
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f13867]) ).
thf(f13891,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_206
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f13865]) ).
thf(f13893,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_202
| spl2_250
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f13879,f6720]) ).
thf(f13895,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_181
| ~ spl2_254
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f13885,f5429]) ).
thf(f13896,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_180
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f13886,f41]) ).
thf(f13897,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_84
| spl2_110
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f13887,f3372]) ).
thf(f13898,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_206
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f13891,f41]) ).
thf(f13900,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_202
| spl2_250
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f13893,f41]) ).
thf(f13902,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_181
| ~ spl2_254
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f13895,f41]) ).
thf(f13903,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_180
| spl2_181
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f13896,f5429]) ).
thf(f13904,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_84
| spl2_110
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f13897,f41]) ).
thf(f13905,plain,
( spl2_212
| spl2_211
| spl2_206
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f13898,f7960,f5745,f5763,f5767]) ).
thf(f13907,plain,
( spl2_192
| spl2_202
| spl2_250
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f13900,f7960,f6719,f5731,f5522]) ).
thf(f13909,plain,
( spl2_47
| spl2_186
| spl2_181
| ~ spl2_254
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f13902,f7960,f7068,f5428,f5491,f691]) ).
thf(f13910,plain,
( spl2_186
| spl2_180
| spl2_181
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f13903,f7960,f5428,f5425,f5491]) ).
thf(f13911,plain,
( $false
| spl2_83
| spl2_84
| spl2_110
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f13904,f5264]) ).
thf(f13912,plain,
( spl2_83
| spl2_84
| spl2_110
| ~ spl2_266 ),
inference(avatar_contradiction_clause,[],[f13911]) ).
thf(f13921,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_211 ),
inference(constrained_superposition,[],[f27,f5764]) ).
thf(f13923,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f13921]) ).
thf(f13927,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_333 ),
inference(constrained_superposition,[],[f13827,f187]) ).
thf(f13929,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_333 ),
inference(constrained_superposition,[],[f13827,f52]) ).
thf(f13931,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_333 ),
inference(trivial_inequality_removal,[],[f13929]) ).
thf(f13933,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_333 ),
inference(trivial_inequality_removal,[],[f13927]) ).
thf(f13937,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_208
| ~ spl2_237 ),
inference(constrained_superposition,[],[f6484,f5753]) ).
thf(f13938,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_234
| ~ spl2_237 ),
inference(constrained_superposition,[],[f6484,f6394]) ).
thf(f13945,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f13937]) ).
thf(f13946,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_234
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f13938]) ).
thf(f13949,plain,
( $false
| ~ spl2_54
| ~ spl2_208
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f13945,f821]) ).
thf(f13950,plain,
( ~ spl2_54
| ~ spl2_208
| ~ spl2_237 ),
inference(avatar_contradiction_clause,[],[f13949]) ).
thf(f13951,plain,
( $false
| ~ spl2_54
| ~ spl2_234
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f13946,f821]) ).
thf(f13952,plain,
( ~ spl2_54
| ~ spl2_234
| ~ spl2_237 ),
inference(avatar_contradiction_clause,[],[f13951]) ).
thf(f13972,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_54
| ~ spl2_149
| ~ spl2_244 ),
inference(forward_subsumption_resolution,[],[f12793,f4019]) ).
thf(f13974,plain,
( spl2_234
| spl2_324 ),
inference(avatar_split_clause,[],[f12889,f12576,f6393]) ).
thf(f13979,definition,
( spl2_337
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_337])],[avatar_definition]) ).
thf(f13980,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_337 ),
inference(avatar_component_clause,[],[f13979]) ).
thf(f13983,plain,
( spl2_90
| spl2_139
| ~ spl2_54
| ~ spl2_149
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f13972,f6684,f4018,f820,f3611,f2338]) ).
thf(f13984,plain,
( spl2_94
| ~ spl2_18
| spl2_178 ),
inference(avatar_split_clause,[],[f11845,f5381,f223,f2531]) ).
thf(f13985,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_83
| spl2_333 ),
inference(forward_subsumption_resolution,[],[f13931,f5264]) ).
thf(f13987,plain,
( spl2_140
| spl2_333 ),
inference(avatar_split_clause,[],[f13933,f13826,f3614]) ).
thf(f13991,definition,
( spl2_338
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_338])],[avatar_definition]) ).
thf(f13992,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_338 ),
inference(avatar_component_clause,[],[f13991]) ).
thf(f13997,definition,
( spl2_339
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_339])],[avatar_definition]) ).
thf(f13998,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_339 ),
inference(avatar_component_clause,[],[f13997]) ).
thf(f14007,plain,
( ~ spl2_110
| spl2_139
| ~ spl2_38
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f10430,f10415,f429,f3611,f2964]) ).
thf(f14008,plain,
( spl2_140
| spl2_83
| spl2_333 ),
inference(avatar_split_clause,[],[f13985,f13826,f2307,f3614]) ).
thf(f14012,definition,
( spl2_341
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_341])],[avatar_definition]) ).
thf(f14013,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_341 ),
inference(avatar_component_clause,[],[f14012]) ).
thf(f14073,plain,
( spl2_244
| spl2_335 ),
inference(avatar_split_clause,[],[f13860,f13845,f6684]) ).
thf(f14075,definition,
( spl2_342
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_342])],[avatar_definition]) ).
thf(f14076,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_342 ),
inference(avatar_component_clause,[],[f14075]) ).
thf(f14083,plain,
( spl2_192
| spl2_244
| spl2_335 ),
inference(avatar_split_clause,[],[f13861,f13845,f6684,f5522]) ).
thf(f14106,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_29
| ~ spl2_290 ),
inference(constrained_superposition,[],[f9889,f351]) ).
thf(f14109,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f27,f351]) ).
thf(f14110,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f14109]) ).
thf(f14113,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_29
| ~ spl2_290 ),
inference(duplicate_literal_removal,[],[f14106]) ).
thf(f14114,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_29
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f14113]) ).
thf(f14119,plain,
( spl2_102
| ~ spl2_29
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f14114,f9888,f350,f2748]) ).
thf(f14142,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_29
| ~ spl2_90 ),
inference(constrained_superposition,[],[f2339,f351]) ).
thf(f14154,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_90 ),
inference(trivial_inequality_removal,[],[f14142]) ).
thf(f14246,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_141 ),
inference(constrained_superposition,[],[f3618,f77]) ).
thf(f14249,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f14246]) ).
thf(f14256,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f27,f5382]) ).
thf(f14259,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f14256]) ).
thf(f14335,plain,
( ~ spl2_308
| ~ spl2_29
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f14154,f2338,f350,f10829]) ).
thf(f14336,plain,
( spl2_4
| spl2_40 ),
inference(avatar_split_clause,[],[f10061,f512,f89]) ).
thf(f14343,definition,
( spl2_344
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_344])],[avatar_definition]) ).
thf(f14344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_344 ),
inference(avatar_component_clause,[],[f14343]) ).
thf(f14346,plain,
( spl2_202
| spl2_141 ),
inference(avatar_split_clause,[],[f14249,f3617,f5731]) ).
thf(f14355,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f27,f2064]) ).
thf(f14357,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f14355]) ).
thf(f14403,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_130 ),
inference(constrained_superposition,[],[f3396,f29]) ).
thf(f14414,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f14403]) ).
thf(f14419,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_206 ),
inference(constrained_superposition,[],[f3784,f5746]) ).
thf(f14424,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f14419]) ).
thf(f14426,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_38
| spl2_203
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f14424,f5735]) ).
thf(f14427,plain,
( $false
| ~ spl2_38
| ~ spl2_40
| spl2_203
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f14426,f2064]) ).
thf(f14428,plain,
( ~ spl2_38
| ~ spl2_40
| spl2_203
| ~ spl2_206 ),
inference(avatar_contradiction_clause,[],[f14427]) ).
thf(f14432,plain,
( ( $true != $true )
| ~ spl2_55
| spl2_203 ),
inference(constrained_superposition,[],[f5735,f848]) ).
thf(f14433,plain,
( ( $true != $true )
| ~ spl2_55
| spl2_139 ),
inference(constrained_superposition,[],[f3612,f848]) ).
thf(f14443,plain,
( $false
| ~ spl2_55
| spl2_203 ),
inference(trivial_inequality_removal,[],[f14432]) ).
thf(f14444,plain,
( ~ spl2_55
| spl2_203 ),
inference(avatar_contradiction_clause,[],[f14443]) ).
thf(f14445,plain,
( $false
| ~ spl2_55
| spl2_139 ),
inference(trivial_inequality_removal,[],[f14433]) ).
thf(f14446,plain,
( ~ spl2_55
| spl2_139 ),
inference(avatar_contradiction_clause,[],[f14445]) ).
thf(f14459,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f28,f5793]) ).
thf(f14466,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f14459]) ).
thf(f14496,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_140 ),
inference(constrained_superposition,[],[f27,f3615]) ).
thf(f14499,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f14496]) ).
thf(f14503,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f430,f50]) ).
thf(f14504,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_211 ),
inference(constrained_superposition,[],[f430,f5764]) ).
thf(f14505,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_38
| ~ spl2_181 ),
inference(constrained_superposition,[],[f430,f9399]) ).
thf(f14510,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f14504]) ).
thf(f14513,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f14503]) ).
thf(f14514,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f14505]) ).
thf(f14543,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_244
| ~ spl2_325 ),
inference(constrained_superposition,[],[f12689,f6685]) ).
thf(f14552,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_244
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f14543]) ).
thf(f14558,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_84
| ~ spl2_244
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f14552,f2311]) ).
thf(f14559,plain,
( $false
| ~ spl2_29
| ~ spl2_84
| ~ spl2_244
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f14558,f351]) ).
thf(f14560,plain,
( ~ spl2_29
| ~ spl2_84
| ~ spl2_244
| ~ spl2_325 ),
inference(avatar_contradiction_clause,[],[f14559]) ).
thf(f14570,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_258 ),
inference(constrained_superposition,[],[f27,f7258]) ).
thf(f14572,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f14570]) ).
thf(f14600,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_234 ),
inference(constrained_superposition,[],[f1015,f6394]) ).
thf(f14601,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_234 ),
inference(constrained_superposition,[],[f27,f6394]) ).
thf(f14604,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f14601]) ).
thf(f14605,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f14600]) ).
thf(f14609,plain,
( spl2_94
| spl2_303
| ~ spl2_18
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f14605,f6393,f223,f10513,f2531]) ).
thf(f14617,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_226 ),
inference(constrained_superposition,[],[f5974,f29]) ).
thf(f14627,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f14617]) ).
thf(f14647,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f27,f5718]) ).
thf(f14650,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f14647]) ).
thf(f14713,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_180
| ~ spl2_181 ),
inference(constrained_superposition,[],[f14514,f5477]) ).
thf(f14720,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_180
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f14713]) ).
thf(f14721,plain,
( $false
| ~ spl2_38
| ~ spl2_40
| ~ spl2_180
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f14720,f2064]) ).
thf(f14722,plain,
( ~ spl2_38
| ~ spl2_40
| ~ spl2_180
| ~ spl2_181 ),
inference(avatar_contradiction_clause,[],[f14721]) ).
thf(f14793,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_197 ),
inference(constrained_superposition,[],[f5715,f52]) ).
thf(f14804,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f14793]) ).
thf(f14907,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f5985,f29]) ).
thf(f14922,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f14907]) ).
thf(f14930,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_173 ),
inference(constrained_superposition,[],[f27,f5328]) ).
thf(f14934,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f14930]) ).
thf(f14981,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_171
| ~ spl2_221 ),
inference(constrained_superposition,[],[f5874,f5321]) ).
thf(f14988,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_171
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f14981]) ).
thf(f14991,plain,
( ~ spl2_141
| ~ spl2_171
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f14988,f5873,f5320,f3617]) ).
thf(f15050,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_113
| ~ spl2_169 ),
inference(constrained_superposition,[],[f3067,f5314]) ).
thf(f15058,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_113
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f15050]) ).
thf(f15064,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_54
| ~ spl2_113
| ~ spl2_169 ),
inference(forward_subsumption_resolution,[],[f15058,f821]) ).
thf(f15066,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_54
| ~ spl2_113
| ~ spl2_169 ),
inference(constrained_superposition,[],[f15064,f5314]) ).
thf(f15068,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_54
| ~ spl2_113
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f15066]) ).
thf(f15071,plain,
( $false
| ~ spl2_54
| ~ spl2_113
| ~ spl2_169 ),
inference(forward_subsumption_resolution,[],[f15068,f821]) ).
thf(f15072,plain,
( ~ spl2_54
| ~ spl2_113
| ~ spl2_169 ),
inference(avatar_contradiction_clause,[],[f15071]) ).
thf(f15122,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_198
| ~ spl2_252 ),
inference(constrained_superposition,[],[f6919,f5718]) ).
thf(f15123,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_18
| ~ spl2_252 ),
inference(constrained_superposition,[],[f6919,f224]) ).
thf(f15128,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f15123]) ).
thf(f15132,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_198
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f15122]) ).
thf(f15177,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_140
| ~ spl2_337 ),
inference(constrained_superposition,[],[f13980,f3615]) ).
thf(f15194,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_140
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f15177]) ).
thf(f15200,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_29
| ~ spl2_140
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f15194,f351]) ).
thf(f15203,plain,
( spl2_65
| ~ spl2_29
| ~ spl2_140
| ~ spl2_337 ),
inference(avatar_split_clause,[],[f15200,f13979,f3614,f350,f1178]) ).
thf(f15264,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_258
| ~ spl2_342 ),
inference(constrained_superposition,[],[f14076,f7258]) ).
thf(f15271,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_258
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f15264]) ).
thf(f15281,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_29
| ~ spl2_258
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f15271,f351]) ).
thf(f15285,plain,
( spl2_65
| ~ spl2_29
| ~ spl2_258
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f15281,f14075,f7257,f350,f1178]) ).
thf(f15294,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_140 ),
inference(constrained_superposition,[],[f14110,f3615]) ).
thf(f15303,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f15294]) ).
thf(f15307,plain,
( spl2_321
| ~ spl2_29
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f15303,f3614,f350,f12450]) ).
thf(f15309,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_18
| ~ spl2_126 ),
inference(constrained_superposition,[],[f3371,f224]) ).
thf(f15317,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_18
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f15309]) ).
thf(f15340,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_182 ),
inference(constrained_superposition,[],[f5476,f1673]) ).
thf(f15345,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f15340]) ).
thf(f15388,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_198
| ~ spl2_334 ),
inference(constrained_superposition,[],[f13835,f5718]) ).
thf(f15402,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_198
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f15388]) ).
thf(f15406,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_29
| ~ spl2_198
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f15402,f351]) ).
thf(f15410,plain,
( spl2_65
| ~ spl2_29
| ~ spl2_198
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f15406,f13834,f5717,f350,f1178]) ).
thf(f15453,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_234
| ~ spl2_321 ),
inference(constrained_superposition,[],[f12451,f6394]) ).
thf(f15469,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_234
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f15453]) ).
thf(f15510,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_234 ),
inference(constrained_superposition,[],[f14259,f6394]) ).
thf(f15511,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_178
| ~ spl2_255 ),
inference(constrained_superposition,[],[f14259,f7073]) ).
thf(f15513,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_178
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f15510]) ).
thf(f15515,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_178
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f15511]) ).
thf(f15517,plain,
( spl2_303
| ~ spl2_178
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f15513,f6393,f5381,f10513]) ).
thf(f15518,plain,
( spl2_338
| ~ spl2_178
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f15515,f7072,f5381,f13991]) ).
thf(f15532,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_234
| ~ spl2_303 ),
inference(constrained_superposition,[],[f10514,f6394]) ).
thf(f15533,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_173
| ~ spl2_303 ),
inference(constrained_superposition,[],[f10514,f5328]) ).
thf(f15534,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_244
| ~ spl2_303 ),
inference(constrained_superposition,[],[f10514,f6685]) ).
thf(f15536,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_54
| ~ spl2_303 ),
inference(constrained_superposition,[],[f10514,f821]) ).
thf(f15540,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_173
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f15533]) ).
thf(f15541,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_234
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f15532]) ).
thf(f15545,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_54
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f15536]) ).
thf(f15546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_244
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f15534]) ).
thf(f15548,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_29
| ~ spl2_244
| ~ spl2_303 ),
inference(forward_subsumption_resolution,[],[f15546,f351]) ).
thf(f15551,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_29
| ~ spl2_234
| ~ spl2_244
| ~ spl2_303 ),
inference(constrained_superposition,[],[f15548,f6394]) ).
thf(f15560,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_234
| ~ spl2_244
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f15551]) ).
thf(f15646,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_286 ),
inference(constrained_superposition,[],[f9506,f224]) ).
thf(f15653,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f15646]) ).
thf(f15726,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_98
| ~ spl2_182 ),
inference(forward_subsumption_resolution,[],[f15345,f2725]) ).
thf(f15729,plain,
( spl2_255
| ~ spl2_98
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f15726,f5475,f2724,f7072]) ).
thf(f15741,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f27,f9399]) ).
thf(f15745,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f15741]) ).
thf(f15789,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_18
| ~ spl2_181 ),
inference(constrained_superposition,[],[f15745,f224]) ).
thf(f15799,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_18
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f15789]) ).
thf(f16019,definition,
( spl2_345
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_345])],[avatar_definition]) ).
thf(f16020,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_345 ),
inference(avatar_component_clause,[],[f16019]) ).
thf(f16024,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_239 ),
inference(constrained_superposition,[],[f6497,f29]) ).
thf(f16032,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f16024]) ).
thf(f16035,plain,
( spl2_103
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f16032,f6496,f2751]) ).
thf(f16529,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_130
| ~ spl2_139 ),
inference(constrained_superposition,[],[f14414,f5793]) ).
thf(f16531,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_130
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f16529]) ).
thf(f16535,plain,
( spl2_300
| spl2_301
| ~ spl2_130
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f16531,f3611,f3395,f10415,f10412]) ).
thf(f16537,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_300 ),
inference(constrained_superposition,[],[f5314,f10413]) ).
thf(f16545,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_207
| ~ spl2_300 ),
inference(constrained_superposition,[],[f5750,f10413]) ).
thf(f16551,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_229
| ~ spl2_300 ),
inference(constrained_superposition,[],[f5985,f10413]) ).
thf(f16554,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_191
| ~ spl2_300 ),
inference(constrained_superposition,[],[f6694,f10413]) ).
thf(f16559,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_254
| ~ spl2_300 ),
inference(constrained_superposition,[],[f7902,f10413]) ).
thf(f16562,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_181
| ~ spl2_300 ),
inference(constrained_superposition,[],[f9399,f10413]) ).
thf(f16579,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_300
| spl2_335 ),
inference(constrained_superposition,[],[f13846,f10413]) ).
thf(f16726,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_207
| ~ spl2_300 ),
inference(duplicate_literal_removal,[],[f16545]) ).
thf(f16727,plain,
( spl2_118
| ~ spl2_229
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f16551,f10412,f5984,f3310]) ).
thf(f16728,plain,
( $false
| ~ spl2_139
| spl2_191
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f16554,f5793]) ).
thf(f16729,plain,
( ~ spl2_139
| spl2_191
| ~ spl2_300 ),
inference(avatar_contradiction_clause,[],[f16728]) ).
thf(f16731,plain,
( $false
| ~ spl2_181
| spl2_250
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f16562,f6720]) ).
thf(f16732,plain,
( ~ spl2_181
| spl2_250
| ~ spl2_300 ),
inference(avatar_contradiction_clause,[],[f16731]) ).
thf(f16735,plain,
( spl2_301
| ~ spl2_169
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f16537,f10412,f5313,f10415]) ).
thf(f16738,plain,
( ~ spl2_119
| ~ spl2_300
| spl2_335 ),
inference(avatar_split_clause,[],[f16579,f13845,f10412,f3313]) ).
thf(f16743,plain,
( $false
| ~ spl2_244
| spl2_254
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f16559,f6685]) ).
thf(f16744,plain,
( ~ spl2_244
| spl2_254
| ~ spl2_300 ),
inference(avatar_contradiction_clause,[],[f16743]) ).
thf(f16747,plain,
( spl2_123
| ~ spl2_207
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f16726,f10412,f5749,f3326]) ).
thf(f16771,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_234
| ~ spl2_301 ),
inference(constrained_superposition,[],[f14604,f10416]) ).
thf(f16795,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_234
| ~ spl2_301 ),
inference(duplicate_literal_removal,[],[f16771]) ).
thf(f16796,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_234
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f16795]) ).
thf(f16805,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_18
| ~ spl2_234
| ~ spl2_301 ),
inference(constrained_superposition,[],[f16796,f224]) ).
thf(f16818,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_234
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f16805]) ).
thf(f16857,plain,
( spl2_254
| spl2_283
| ~ spl2_18
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f15799,f5428,f223,f9409,f7068]) ).
thf(f16859,definition,
( spl2_346
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_346])],[avatar_definition]) ).
thf(f16860,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_346 ),
inference(avatar_component_clause,[],[f16859]) ).
thf(f16861,plain,
( spl2_346
| spl2_94
| ~ spl2_18
| ~ spl2_234
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f16818,f10415,f6393,f223,f2531,f16859]) ).
thf(f16869,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_130
| ~ spl2_191 ),
inference(constrained_superposition,[],[f14414,f5520]) ).
thf(f16887,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_130
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f16869]) ).
thf(f16892,definition,
( spl2_347
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f16893,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f16892]) ).
thf(f16894,plain,
( spl2_347
| spl2_169
| ~ spl2_130
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f16887,f5519,f3395,f5313,f16892]) ).
thf(f16897,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_171
| ~ spl2_347 ),
inference(constrained_superposition,[],[f5321,f16893]) ).
thf(f16904,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_203
| ~ spl2_347 ),
inference(constrained_superposition,[],[f5735,f16893]) ).
thf(f16934,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_347 ),
inference(constrained_superposition,[],[f1673,f16893]) ).
thf(f17062,plain,
( $false
| ~ spl2_139
| spl2_203
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f16904,f5793]) ).
thf(f17063,plain,
( ~ spl2_139
| spl2_203
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f17062]) ).
thf(f17066,plain,
( $false
| ~ spl2_171
| spl2_316
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f16897,f11445]) ).
thf(f17067,plain,
( ~ spl2_171
| spl2_316
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f17066]) ).
thf(f17072,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_232
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f16934,f11420]) ).
thf(f17079,plain,
( $false
| spl2_121
| spl2_232
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f17072,f3321]) ).
thf(f17080,plain,
( spl2_121
| spl2_232
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f17079]) ).
thf(f17085,definition,
( spl2_348
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_348])],[avatar_definition]) ).
thf(f17086,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_348 ),
inference(avatar_component_clause,[],[f17085]) ).
thf(f17087,plain,
( spl2_348
| ~ spl2_308
| ~ spl2_54
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f15545,f10513,f820,f10829,f17085]) ).
thf(f17089,definition,
( spl2_349
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_349])],[avatar_definition]) ).
thf(f17090,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_349 ),
inference(avatar_component_clause,[],[f17089]) ).
thf(f17093,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_18
| spl2_246
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f15128,f7325]) ).
thf(f17098,plain,
( spl2_30
| ~ spl2_308
| ~ spl2_198
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f15132,f6918,f5717,f10829,f376]) ).
thf(f17101,definition,
( spl2_351
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_351])],[avatar_definition]) ).
thf(f17102,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_351 ),
inference(avatar_component_clause,[],[f17101]) ).
thf(f17111,plain,
( ~ spl2_308
| spl2_30
| ~ spl2_18
| spl2_246
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f17093,f6918,f6697,f223,f376,f10829]) ).
thf(f17154,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f27,f2965]) ).
thf(f17157,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f17154]) ).
thf(f17191,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78
| ~ spl2_168 ),
inference(constrained_superposition,[],[f2285,f5311]) ).
thf(f17201,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_100
| ~ spl2_168 ),
inference(constrained_superposition,[],[f2737,f5311]) ).
thf(f17219,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_100
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f17201]) ).
thf(f17225,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f17191]) ).
thf(f17231,plain,
( ~ spl2_176
| ~ spl2_78
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f17225,f5310,f2284,f5374]) ).
thf(f17248,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f27,f7073]) ).
thf(f17254,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f17248]) ).
thf(f17263,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_182 ),
inference(constrained_superposition,[],[f5476,f29]) ).
thf(f17276,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f17263]) ).
thf(f17458,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_18
| ~ spl2_213 ),
inference(constrained_superposition,[],[f5799,f224]) ).
thf(f17475,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_213 ),
inference(trivial_inequality_removal,[],[f17458]) ).
thf(f17506,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f5989,f29]) ).
thf(f17510,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f5989,f187]) ).
thf(f17515,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f17510]) ).
thf(f17517,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f17506]) ).
thf(f17520,plain,
( spl2_277
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f17517,f5988,f8935]) ).
thf(f17521,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_34
| spl2_246 ),
inference(constrained_superposition,[],[f7325,f413]) ).
thf(f17528,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_34
| ~ spl2_252 ),
inference(constrained_superposition,[],[f6919,f413]) ).
thf(f17531,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_34
| ~ spl2_211 ),
inference(constrained_superposition,[],[f13923,f413]) ).
thf(f17541,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_34
| ~ spl2_113 ),
inference(constrained_superposition,[],[f3067,f413]) ).
thf(f17548,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_34
| ~ spl2_110 ),
inference(constrained_superposition,[],[f17157,f413]) ).
thf(f17551,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_34
| ~ spl2_38 ),
inference(constrained_superposition,[],[f14513,f413]) ).
thf(f17560,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_34
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f17541]) ).
thf(f17565,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_34
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f17551]) ).
thf(f17566,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_34
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f17531]) ).
thf(f17567,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_34
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f17548]) ).
thf(f17574,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_34
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f17528]) ).
thf(f17588,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_34
| spl2_246 ),
inference(trivial_inequality_removal,[],[f17521]) ).
thf(f17594,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_34
| ~ spl2_113
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f17560,f4019]) ).
thf(f17595,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| spl2_4
| ~ spl2_34
| ~ spl2_38 ),
inference(forward_subsumption_resolution,[],[f17565,f90]) ).
thf(f17596,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_34
| spl2_203
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f17566,f5735]) ).
thf(f17597,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_34
| spl2_98
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f17567,f3384]) ).
thf(f17600,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_34
| ~ spl2_149
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f17574,f4019]) ).
thf(f17601,plain,
( $false
| ~ spl2_34
| spl2_203
| spl2_246 ),
inference(forward_subsumption_resolution,[],[f17588,f5735]) ).
thf(f17602,plain,
( ~ spl2_34
| spl2_203
| spl2_246 ),
inference(avatar_contradiction_clause,[],[f17601]) ).
thf(f17606,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_34
| spl2_98
| ~ spl2_113
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f17594,f3384]) ).
thf(f17607,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| spl2_4
| ~ spl2_34
| ~ spl2_38 ),
inference(forward_subsumption_resolution,[],[f17595,f50]) ).
thf(f17608,plain,
( spl2_334
| ~ spl2_34
| spl2_203
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f17596,f5763,f5734,f412,f13834]) ).
thf(f17609,plain,
( spl2_265
| ~ spl2_34
| spl2_98
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f17597,f2964,f2724,f412,f7954]) ).
thf(f17612,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_34
| ~ spl2_149
| spl2_203
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f17600,f5735]) ).
thf(f17614,plain,
( spl2_90
| ~ spl2_34
| spl2_98
| ~ spl2_113
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f17606,f4018,f3066,f2724,f412,f2338]) ).
thf(f17615,plain,
( spl2_55
| spl2_4
| ~ spl2_34
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f17607,f429,f412,f89,f847]) ).
thf(f17616,plain,
( spl2_90
| ~ spl2_34
| ~ spl2_149
| spl2_203
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f17612,f6918,f5734,f4018,f412,f2338]) ).
thf(f17771,definition,
( spl2_353
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
thf(f17772,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_353 ),
inference(avatar_component_clause,[],[f17771]) ).
thf(f17773,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_94 ),
inference(avatar_component_clause,[],[f2531]) ).
thf(f17790,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_103
| spl2_204 ),
inference(constrained_superposition,[],[f11315,f2752]) ).
thf(f17791,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_103
| spl2_188 ),
inference(constrained_superposition,[],[f11313,f2752]) ).
thf(f17792,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_103
| spl2_194 ),
inference(constrained_superposition,[],[f13432,f2752]) ).
thf(f17795,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_103
| ~ spl2_140 ),
inference(constrained_superposition,[],[f14499,f2752]) ).
thf(f17797,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_103
| ~ spl2_198 ),
inference(constrained_superposition,[],[f14650,f2752]) ).
thf(f17804,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_103
| ~ spl2_178 ),
inference(constrained_superposition,[],[f14259,f2752]) ).
thf(f17809,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_103
| spl2_194 ),
inference(trivial_inequality_removal,[],[f17792]) ).
thf(f17817,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_103
| spl2_188 ),
inference(trivial_inequality_removal,[],[f17791]) ).
thf(f17820,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_103
| ~ spl2_178 ),
inference(duplicate_literal_removal,[],[f17804]) ).
thf(f17821,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_103
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f17820]) ).
thf(f17825,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_103
| ~ spl2_140 ),
inference(duplicate_literal_removal,[],[f17795]) ).
thf(f17826,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_103
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f17825]) ).
thf(f17830,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_103
| ~ spl2_198 ),
inference(duplicate_literal_removal,[],[f17797]) ).
thf(f17831,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_103
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f17830]) ).
thf(f17834,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_103
| spl2_204 ),
inference(trivial_inequality_removal,[],[f17790]) ).
thf(f17837,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_103
| spl2_194
| spl2_206 ),
inference(forward_subsumption_resolution,[],[f17809,f12453]) ).
thf(f17840,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_103
| spl2_180
| spl2_188 ),
inference(forward_subsumption_resolution,[],[f17817,f5426]) ).
thf(f17841,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_83
| ~ spl2_103
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f17821,f5264]) ).
thf(f17842,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_103
| ~ spl2_140
| spl2_202 ),
inference(forward_subsumption_resolution,[],[f17826,f9495]) ).
thf(f17844,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_103
| ~ spl2_198
| spl2_206 ),
inference(forward_subsumption_resolution,[],[f17831,f12453]) ).
thf(f17846,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_103
| spl2_202
| spl2_204 ),
inference(forward_subsumption_resolution,[],[f17834,f9495]) ).
thf(f17848,plain,
( spl2_212
| spl2_281
| ~ spl2_103
| spl2_194
| spl2_206 ),
inference(avatar_split_clause,[],[f17837,f5745,f5704,f2751,f9049,f5767]) ).
thf(f17850,plain,
( spl2_186
| spl2_193
| ~ spl2_103
| spl2_180
| spl2_188 ),
inference(avatar_split_clause,[],[f17840,f5498,f5425,f2751,f5554,f5491]) ).
thf(f17851,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_83
| spl2_84
| ~ spl2_103
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f17841,f11201]) ).
thf(f17852,plain,
( spl2_299
| spl2_192
| spl2_44
| ~ spl2_103
| ~ spl2_140
| spl2_202 ),
inference(avatar_split_clause,[],[f17842,f5731,f3614,f2751,f631,f5522,f10334]) ).
thf(f17853,plain,
( spl2_281
| spl2_44
| spl2_212
| ~ spl2_103
| ~ spl2_198
| spl2_206 ),
inference(avatar_split_clause,[],[f17844,f5745,f5717,f2751,f5767,f631,f9049]) ).
thf(f17855,plain,
( spl2_192
| spl2_299
| ~ spl2_103
| spl2_202
| spl2_204 ),
inference(avatar_split_clause,[],[f17846,f5738,f5731,f2751,f10334,f5522]) ).
thf(f17857,plain,
( spl2_44
| spl2_93
| spl2_83
| spl2_84
| ~ spl2_103
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f17851,f5381,f2751,f2310,f2307,f2451,f631]) ).
thf(f18019,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_29
| ~ spl2_107 ),
inference(constrained_superposition,[],[f14110,f2806]) ).
thf(f18060,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_29
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f18019]) ).
thf(f18068,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_40
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f18060,f14357]) ).
thf(f18086,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_40
| ~ spl2_107
| ~ spl2_149 ),
inference(constrained_superposition,[],[f18068,f4019]) ).
thf(f18093,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_40
| ~ spl2_107
| ~ spl2_149 ),
inference(duplicate_literal_removal,[],[f18086]) ).
thf(f18094,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_29
| ~ spl2_40
| ~ spl2_107
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f18093]) ).
thf(f18118,plain,
( spl2_144
| spl2_21
| ~ spl2_29
| ~ spl2_40
| ~ spl2_107
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f18094,f4018,f2805,f512,f350,f249,f3902]) ).
thf(f18169,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_143
| ~ spl2_346 ),
inference(constrained_superposition,[],[f16860,f3900]) ).
thf(f18206,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_143
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f18169]) ).
thf(f18221,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_187 ),
inference(constrained_superposition,[],[f5495,f1673]) ).
thf(f18222,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f18221]) ).
thf(f18230,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_155 ),
inference(constrained_superposition,[],[f4048,f51]) ).
thf(f18232,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f18230]) ).
thf(f18240,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_155 ),
inference(constrained_superposition,[],[f18232,f385]) ).
thf(f18249,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f18240]) ).
thf(f18252,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_155 ),
inference(forward_subsumption_resolution,[],[f18249,f41]) ).
thf(f18254,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_155
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f18252,f10904]) ).
thf(f18255,plain,
( $false
| ~ spl2_17
| spl2_20
| ~ spl2_155
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f18254,f7197]) ).
thf(f18256,plain,
( ~ spl2_17
| spl2_20
| ~ spl2_155
| spl2_308 ),
inference(avatar_contradiction_clause,[],[f18255]) ).
thf(f18346,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_222 ),
inference(constrained_superposition,[],[f5878,f1673]) ).
thf(f18352,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f18346]) ).
thf(f18357,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_83
| ~ spl2_222 ),
inference(forward_subsumption_resolution,[],[f18352,f5264]) ).
thf(f18359,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_83
| spl2_208
| ~ spl2_222 ),
inference(forward_subsumption_resolution,[],[f18357,f13433]) ).
thf(f18361,plain,
( $false
| spl2_83
| spl2_84
| spl2_208
| ~ spl2_222 ),
inference(forward_subsumption_resolution,[],[f18359,f11201]) ).
thf(f18362,plain,
( spl2_83
| spl2_84
| spl2_208
| ~ spl2_222 ),
inference(avatar_contradiction_clause,[],[f18361]) ).
thf(f18365,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_191
| ~ spl2_226 ),
inference(constrained_superposition,[],[f14627,f5520]) ).
thf(f18368,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_191
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f18365]) ).
thf(f18372,definition,
( spl2_355
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_355])],[avatar_definition]) ).
thf(f18373,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_355 ),
inference(avatar_component_clause,[],[f18372]) ).
thf(f18375,definition,
( spl2_356
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_356])],[avatar_definition]) ).
thf(f18376,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_356 ),
inference(avatar_component_clause,[],[f18375]) ).
thf(f18377,plain,
( spl2_355
| spl2_356
| ~ spl2_191
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f18368,f5973,f5519,f18375,f18372]) ).
thf(f18391,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_268
| ~ spl2_355 ),
inference(constrained_superposition,[],[f8054,f18373]) ).
thf(f18407,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_268
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f18391]) ).
thf(f18414,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_54
| ~ spl2_268
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f18407,f821]) ).
thf(f18415,plain,
( $false
| ~ spl2_54
| ~ spl2_244
| ~ spl2_268
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f18414,f6685]) ).
thf(f18416,plain,
( ~ spl2_54
| ~ spl2_244
| ~ spl2_268
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f18415]) ).
thf(f18419,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_356 ),
inference(constrained_superposition,[],[f5328,f18376]) ).
thf(f18430,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_203
| ~ spl2_356 ),
inference(constrained_superposition,[],[f5735,f18376]) ).
thf(f18431,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_211
| ~ spl2_356 ),
inference(constrained_superposition,[],[f5764,f18376]) ).
thf(f18591,plain,
( $false
| ~ spl2_191
| spl2_203
| ~ spl2_356 ),
inference(forward_subsumption_resolution,[],[f18430,f5520]) ).
thf(f18592,plain,
( ~ spl2_191
| spl2_203
| ~ spl2_356 ),
inference(avatar_contradiction_clause,[],[f18591]) ).
thf(f18593,plain,
( spl2_355
| ~ spl2_173
| ~ spl2_356 ),
inference(avatar_split_clause,[],[f18419,f18375,f5327,f18372]) ).
thf(f18600,plain,
( $false
| spl2_181
| ~ spl2_211
| ~ spl2_356 ),
inference(forward_subsumption_resolution,[],[f18431,f5429]) ).
thf(f18601,plain,
( spl2_181
| ~ spl2_211
| ~ spl2_356 ),
inference(avatar_contradiction_clause,[],[f18600]) ).
thf(f18603,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_244
| ~ spl2_303
| ~ spl2_355 ),
inference(constrained_superposition,[],[f15548,f18373]) ).
thf(f18613,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_255
| ~ spl2_355 ),
inference(constrained_superposition,[],[f17254,f18373]) ).
thf(f18619,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_355 ),
inference(constrained_superposition,[],[f27,f18373]) ).
thf(f18621,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f18619]) ).
thf(f18628,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_244
| ~ spl2_303
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f18603]) ).
thf(f18633,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_255
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f18613]) ).
thf(f18642,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_255
| ~ spl2_355 ),
inference(constrained_superposition,[],[f18633,f18373]) ).
thf(f18668,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_255
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f18642]) ).
thf(f18677,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_307 ),
inference(avatar_component_clause,[],[f10720]) ).
thf(f18681,definition,
( spl2_358
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_358])],[avatar_definition]) ).
thf(f18682,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_358 ),
inference(avatar_component_clause,[],[f18681]) ).
thf(f18683,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_169 ),
inference(avatar_component_clause,[],[f5313]) ).
thf(f18684,plain,
( spl2_358
| ~ spl2_169
| ~ spl2_255
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f18668,f18372,f7072,f5313,f18681]) ).
thf(f18737,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_258
| ~ spl2_355 ),
inference(constrained_superposition,[],[f18621,f7258]) ).
thf(f18741,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_254
| ~ spl2_355 ),
inference(constrained_superposition,[],[f18621,f7069]) ).
thf(f18745,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_143
| ~ spl2_355 ),
inference(constrained_superposition,[],[f18621,f3900]) ).
thf(f18748,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_54
| ~ spl2_355 ),
inference(constrained_superposition,[],[f18621,f821]) ).
thf(f18756,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_54
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f18748]) ).
thf(f18760,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_143
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f18745]) ).
thf(f18761,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_254
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f18741]) ).
thf(f18768,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_258
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f18737]) ).
thf(f18770,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_143
| spl2_180
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f18760,f5426]) ).
thf(f18772,definition,
( spl2_361
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_361])],[avatar_definition]) ).
thf(f18773,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_361 ),
inference(avatar_component_clause,[],[f18772]) ).
thf(f18776,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_143
| spl2_180
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f18770,f41]) ).
thf(f18777,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_143
| spl2_180
| spl2_181
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f18776,f5429]) ).
thf(f18779,definition,
( spl2_362
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_362])],[avatar_definition]) ).
thf(f18780,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_362 ),
inference(avatar_component_clause,[],[f18779]) ).
thf(f18781,plain,
( spl2_362
| spl2_186
| ~ spl2_143
| spl2_180
| spl2_181
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f18777,f18372,f5428,f5425,f3899,f5491,f18779]) ).
thf(f18782,plain,
( spl2_361
| ~ spl2_54
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f18756,f18372,f820,f18772]) ).
thf(f18786,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_255
| ~ spl2_361 ),
inference(constrained_superposition,[],[f18773,f7073]) ).
thf(f18804,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_361 ),
inference(trivial_inequality_removal,[],[f18786]) ).
thf(f18820,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_54
| ~ spl2_255
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f18804,f821]) ).
thf(f18839,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_145
| spl2_204 ),
inference(constrained_superposition,[],[f11315,f3912]) ).
thf(f18840,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_145
| spl2_188 ),
inference(constrained_superposition,[],[f11313,f3912]) ).
thf(f18841,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_145
| spl2_194 ),
inference(constrained_superposition,[],[f13432,f3912]) ).
thf(f18842,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_92
| ~ spl2_145 ),
inference(constrained_superposition,[],[f11200,f3912]) ).
thf(f18851,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_140
| ~ spl2_145 ),
inference(constrained_superposition,[],[f14499,f3912]) ).
thf(f18853,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_145
| ~ spl2_198 ),
inference(constrained_superposition,[],[f14650,f3912]) ).
thf(f18857,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_145
| ~ spl2_258 ),
inference(constrained_superposition,[],[f14572,f3912]) ).
thf(f18859,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_145
| ~ spl2_178 ),
inference(constrained_superposition,[],[f14259,f3912]) ).
thf(f18864,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_145
| ~ spl2_198 ),
inference(duplicate_literal_removal,[],[f18853]) ).
thf(f18865,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_145
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f18864]) ).
thf(f18868,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_145
| spl2_204 ),
inference(trivial_inequality_removal,[],[f18839]) ).
thf(f18871,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_92
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f18842]) ).
thf(f18872,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_145
| spl2_194 ),
inference(trivial_inequality_removal,[],[f18841]) ).
thf(f18877,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_145
| spl2_188 ),
inference(trivial_inequality_removal,[],[f18840]) ).
thf(f18878,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_145
| ~ spl2_258 ),
inference(duplicate_literal_removal,[],[f18857]) ).
thf(f18879,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_145
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f18878]) ).
thf(f18887,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_145 ),
inference(duplicate_literal_removal,[],[f18851]) ).
thf(f18888,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_140
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f18887]) ).
thf(f18889,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_145
| ~ spl2_178 ),
inference(duplicate_literal_removal,[],[f18859]) ).
thf(f18890,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_145
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f18889]) ).
thf(f18892,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_145
| ~ spl2_198
| spl2_206 ),
inference(forward_subsumption_resolution,[],[f18865,f12453]) ).
thf(f18893,plain,
( $false
| ~ spl2_145
| spl2_202
| spl2_204 ),
inference(forward_subsumption_resolution,[],[f18868,f9495]) ).
thf(f18894,plain,
( ~ spl2_145
| spl2_202
| spl2_204 ),
inference(avatar_contradiction_clause,[],[f18893]) ).
thf(f18895,plain,
( $false
| spl2_84
| spl2_92
| ~ spl2_145 ),
inference(forward_subsumption_resolution,[],[f18871,f11201]) ).
thf(f18896,plain,
( spl2_84
| spl2_92
| ~ spl2_145 ),
inference(avatar_contradiction_clause,[],[f18895]) ).
thf(f18897,plain,
( $false
| ~ spl2_145
| spl2_194
| spl2_206 ),
inference(forward_subsumption_resolution,[],[f18872,f12453]) ).
thf(f18898,plain,
( ~ spl2_145
| spl2_194
| spl2_206 ),
inference(avatar_contradiction_clause,[],[f18897]) ).
thf(f18900,plain,
( $false
| ~ spl2_145
| spl2_180
| spl2_188 ),
inference(forward_subsumption_resolution,[],[f18877,f5426]) ).
thf(f18901,plain,
( ~ spl2_145
| spl2_180
| spl2_188 ),
inference(avatar_contradiction_clause,[],[f18900]) ).
thf(f18902,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_145
| spl2_180
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f18879,f5426]) ).
thf(f18904,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_140
| ~ spl2_145
| spl2_202 ),
inference(forward_subsumption_resolution,[],[f18888,f9495]) ).
thf(f18905,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_84
| ~ spl2_145
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f18890,f11201]) ).
thf(f18906,plain,
( spl2_44
| ~ spl2_145
| ~ spl2_198
| spl2_206 ),
inference(avatar_split_clause,[],[f18892,f5745,f5717,f3911,f631]) ).
thf(f18907,plain,
( spl2_44
| ~ spl2_145
| spl2_180
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f18902,f7257,f5425,f3911,f631]) ).
thf(f18908,plain,
( spl2_44
| ~ spl2_140
| ~ spl2_145
| spl2_202 ),
inference(avatar_split_clause,[],[f18904,f5731,f3911,f3614,f631]) ).
thf(f18909,plain,
( spl2_44
| spl2_84
| ~ spl2_145
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f18905,f5381,f3911,f2310,f631]) ).
thf(f18910,plain,
( spl2_362
| ~ spl2_254
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f18761,f18372,f7068,f18779]) ).
thf(f18911,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_258
| ~ spl2_362 ),
inference(constrained_superposition,[],[f18780,f7258]) ).
thf(f18929,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_258
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f18911]) ).
thf(f18959,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_255
| ~ spl2_258
| ~ spl2_355 ),
inference(constrained_superposition,[],[f18768,f7073]) ).
thf(f18974,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_258
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f18959]) ).
thf(f18992,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_178
| ~ spl2_255
| ~ spl2_258
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f18974,f5382]) ).
thf(f19206,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_112
| spl2_169 ),
inference(constrained_superposition,[],[f18683,f2972]) ).
thf(f19207,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_112
| spl2_307 ),
inference(constrained_superposition,[],[f18677,f2972]) ).
thf(f19210,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_234 ),
inference(constrained_superposition,[],[f14604,f2972]) ).
thf(f19216,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_112
| ~ spl2_211 ),
inference(constrained_superposition,[],[f14510,f2972]) ).
thf(f19234,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_112
| spl2_169 ),
inference(trivial_inequality_removal,[],[f19206]) ).
thf(f19237,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112
| spl2_307 ),
inference(trivial_inequality_removal,[],[f19207]) ).
thf(f19245,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_234 ),
inference(duplicate_literal_removal,[],[f19210]) ).
thf(f19246,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_112
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f19245]) ).
thf(f19251,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_38
| ~ spl2_112
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f19216]) ).
thf(f19259,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112
| spl2_169
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f19234,f5426]) ).
thf(f19262,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112
| spl2_206
| spl2_307 ),
inference(forward_subsumption_resolution,[],[f19237,f12453]) ).
thf(f19265,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| spl2_202
| ~ spl2_234 ),
inference(forward_subsumption_resolution,[],[f19246,f9495]) ).
thf(f19267,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| ~ spl2_112
| spl2_206
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f19251,f12453]) ).
thf(f19269,definition,
( spl2_363
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_363])],[avatar_definition]) ).
thf(f19270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_363 ),
inference(avatar_component_clause,[],[f19269]) ).
thf(f19272,plain,
( spl2_347
| spl2_186
| ~ spl2_112
| spl2_169
| spl2_180 ),
inference(avatar_split_clause,[],[f19259,f5425,f5313,f2971,f5491,f16892]) ).
thf(f19274,plain,
( spl2_306
| spl2_212
| ~ spl2_112
| spl2_206
| spl2_307 ),
inference(avatar_split_clause,[],[f19262,f10720,f5745,f2971,f5767,f10717]) ).
thf(f19275,plain,
( spl2_192
| spl2_300
| spl2_363
| ~ spl2_112
| spl2_202
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f19265,f6393,f5731,f2971,f19269,f10412,f5522]) ).
thf(f19277,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_112
| spl2_206
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f19267,f2965]) ).
thf(f19278,plain,
( spl2_212
| spl2_306
| ~ spl2_38
| ~ spl2_110
| ~ spl2_112
| spl2_206
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f19277,f5763,f5745,f2971,f2964,f429,f10717,f5767]) ).
thf(f19408,definition,
( spl2_364
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_364])],[avatar_definition]) ).
thf(f19409,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_364 ),
inference(avatar_component_clause,[],[f19408]) ).
thf(f19411,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_140
| ~ spl2_299 ),
inference(constrained_superposition,[],[f3615,f10335]) ).
thf(f19412,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_168
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5311,f10335]) ).
thf(f19414,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_173
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5328,f10335]) ).
thf(f19418,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_181
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5429,f10335]) ).
thf(f19419,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_182
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5476,f10335]) ).
thf(f19422,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_191
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5520,f10335]) ).
thf(f19424,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_197
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5715,f10335]) ).
thf(f19426,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_203
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5735,f10335]) ).
thf(f19428,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_211
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5764,f10335]) ).
thf(f19432,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_226
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5974,f10335]) ).
thf(f19437,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_234
| ~ spl2_299 ),
inference(constrained_superposition,[],[f6394,f10335]) ).
thf(f19441,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_254
| ~ spl2_299 ),
inference(constrained_superposition,[],[f7069,f10335]) ).
thf(f19442,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_255
| ~ spl2_299 ),
inference(constrained_superposition,[],[f7073,f10335]) ).
thf(f19444,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_246
| ~ spl2_299 ),
inference(constrained_superposition,[],[f7325,f10335]) ).
thf(f19448,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_299
| ~ spl2_303 ),
inference(constrained_superposition,[],[f10514,f10335]) ).
thf(f19457,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_208
| ~ spl2_299 ),
inference(constrained_superposition,[],[f13433,f10335]) ).
thf(f19477,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_299
| ~ spl2_355 ),
inference(constrained_superposition,[],[f18373,f10335]) ).
thf(f19511,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_85
| ~ spl2_299 ),
inference(constrained_superposition,[],[f2316,f10335]) ).
thf(f19515,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_299 ),
inference(constrained_superposition,[],[f4261,f10335]) ).
thf(f19516,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_240
| ~ spl2_299 ),
inference(constrained_superposition,[],[f6501,f10335]) ).
thf(f19628,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_299
| ~ spl2_303 ),
inference(duplicate_literal_removal,[],[f19448]) ).
thf(f19629,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_197
| ~ spl2_299 ),
inference(duplicate_literal_removal,[],[f19424]) ).
thf(f19634,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_299 ),
inference(duplicate_literal_removal,[],[f19515]) ).
thf(f19645,plain,
( $false
| spl2_98
| ~ spl2_191
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19422,f3384]) ).
thf(f19646,plain,
( spl2_98
| ~ spl2_191
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19645]) ).
thf(f19649,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_85
| spl2_232
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19511,f11420]) ).
thf(f19650,plain,
( spl2_44
| ~ spl2_299
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f19628,f10513,f10334,f631]) ).
thf(f19652,plain,
( spl2_23
| ~ spl2_197
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f19629,f10334,f5714,f274]) ).
thf(f19653,plain,
( $false
| spl2_94
| ~ spl2_254
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19441,f17773]) ).
thf(f19654,plain,
( spl2_94
| ~ spl2_254
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19653]) ).
thf(f19656,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_68
| ~ spl2_240
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19516,f1232]) ).
thf(f19662,plain,
( $false
| ~ spl2_244
| spl2_246
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19444,f6685]) ).
thf(f19663,plain,
( ~ spl2_244
| spl2_246
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19662]) ).
thf(f19669,plain,
( $false
| ~ spl2_110
| spl2_181
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19418,f2965]) ).
thf(f19670,plain,
( ~ spl2_110
| spl2_181
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19669]) ).
thf(f19671,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19634,f385]) ).
thf(f19672,plain,
( $false
| spl2_92
| ~ spl2_234
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19437,f11200]) ).
thf(f19673,plain,
( spl2_92
| ~ spl2_234
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19672]) ).
thf(f19682,plain,
( $false
| ~ spl2_211
| spl2_250
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19428,f6720]) ).
thf(f19683,plain,
( ~ spl2_211
| spl2_250
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19682]) ).
thf(f19685,plain,
( $false
| spl2_121
| ~ spl2_168
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19412,f3321]) ).
thf(f19686,plain,
( spl2_121
| ~ spl2_168
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19685]) ).
thf(f19689,plain,
( $false
| spl2_92
| ~ spl2_299
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f19477,f11200]) ).
thf(f19690,plain,
( spl2_92
| ~ spl2_299
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f19689]) ).
thf(f19691,plain,
( $false
| ~ spl2_173
| spl2_204
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19414,f11315]) ).
thf(f19692,plain,
( ~ spl2_173
| spl2_204
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19691]) ).
thf(f19695,plain,
( $false
| spl2_208
| ~ spl2_234
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19457,f6394]) ).
thf(f19696,plain,
( spl2_208
| ~ spl2_234
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19695]) ).
thf(f19698,plain,
( spl2_15
| ~ spl2_226
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f19432,f10334,f5973,f213]) ).
thf(f19701,plain,
( spl2_130
| ~ spl2_182
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f19419,f10334,f5475,f3395]) ).
thf(f19703,plain,
( $false
| spl2_68
| ~ spl2_140
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19411,f1232]) ).
thf(f19704,plain,
( spl2_68
| ~ spl2_140
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19703]) ).
thf(f19705,plain,
( $false
| spl2_232
| ~ spl2_255
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19442,f11420]) ).
thf(f19706,plain,
( spl2_232
| ~ spl2_255
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19705]) ).
thf(f19709,plain,
( $false
| ~ spl2_139
| spl2_203
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19426,f5793]) ).
thf(f19710,plain,
( ~ spl2_139
| spl2_203
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f19709]) ).
thf(f19714,plain,
( ~ spl2_75
| ~ spl2_85
| spl2_232
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f19649,f10334,f6288,f2315,f2273]) ).
thf(f19717,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| spl2_68
| ~ spl2_240
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19656,f385]) ).
thf(f19729,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| spl2_68
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f19671,f1232]) ).
thf(f19738,plain,
( ~ spl2_14
| ~ spl2_17
| spl2_68
| ~ spl2_240
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f19717,f10334,f6500,f1231,f219,f209]) ).
thf(f19741,plain,
( spl2_23
| ~ spl2_17
| spl2_68
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f19729,f10334,f1231,f219,f274]) ).
thf(f19820,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_92
| ~ spl2_96 ),
inference(constrained_superposition,[],[f11200,f2539]) ).
thf(f19873,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_92
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f19820]) ).
thf(f19921,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_92
| ~ spl2_96
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f19873,f10904]) ).
thf(f19924,plain,
( spl2_93
| spl2_92
| ~ spl2_96
| spl2_308 ),
inference(avatar_split_clause,[],[f19921,f10829,f2538,f2448,f2451]) ).
thf(f19934,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f14922,f29]) ).
thf(f19941,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f19934]) ).
thf(f19942,plain,
( spl2_277
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f19941,f5984,f8935]) ).
thf(f20016,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f3958,f77]) ).
thf(f20028,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f20016]) ).
thf(f20214,definition,
( spl2_369
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_369])],[avatar_definition]) ).
thf(f20215,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_369 ),
inference(avatar_component_clause,[],[f20214]) ).
thf(f20302,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_139
| ~ spl2_182 ),
inference(constrained_superposition,[],[f17276,f5793]) ).
thf(f20307,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_139
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f20302]) ).
thf(f20309,definition,
( spl2_371
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_371])],[avatar_definition]) ).
thf(f20310,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_371 ),
inference(avatar_component_clause,[],[f20309]) ).
thf(f20311,plain,
( spl2_356
| spl2_371
| ~ spl2_139
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f20307,f5475,f3611,f20309,f18375]) ).
thf(f20320,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 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_362
| ~ spl2_371 ),
inference(constrained_superposition,[],[f18780,f20310]) ).
thf(f20326,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_214
| ~ spl2_371 ),
inference(constrained_superposition,[],[f5805,f20310]) ).
thf(f20330,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_54
| ~ spl2_255
| ~ spl2_361
| ~ spl2_371 ),
inference(constrained_superposition,[],[f18820,f20310]) ).
thf(f20332,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_178
| ~ spl2_255
| ~ spl2_258
| ~ spl2_355
| ~ spl2_371 ),
inference(constrained_superposition,[],[f18992,f20310]) ).
thf(f20342,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_214
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f20326]) ).
thf(f20350,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_255
| ~ spl2_258
| ~ spl2_355
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f20332]) ).
thf(f20354,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_362
| ~ spl2_371 ),
inference(duplicate_literal_removal,[],[f20320]) ).
thf(f20355,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_362
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f20354]) ).
thf(f20364,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_54
| ~ spl2_255
| ~ spl2_361
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f20330]) ).
thf(f20369,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_54
| ~ spl2_214
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f20342,f821]) ).
thf(f20372,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_178
| ~ spl2_255
| ~ spl2_258
| ~ spl2_355
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f20350,f7258]) ).
thf(f20373,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_244
| ~ spl2_362
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f20355,f6685]) ).
thf(f20374,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_54
| ~ spl2_255
| ~ spl2_361
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f20364,f7073]) ).
thf(f20375,plain,
( $false
| ~ spl2_54
| ~ spl2_214
| ~ spl2_254
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f20369,f7069]) ).
thf(f20376,plain,
( ~ spl2_54
| ~ spl2_214
| ~ spl2_254
| ~ spl2_371 ),
inference(avatar_contradiction_clause,[],[f20375]) ).
thf(f20380,plain,
( $false
| ~ spl2_178
| ~ spl2_255
| ~ spl2_258
| ~ spl2_355
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f20372,f7073]) ).
thf(f20381,plain,
( ~ spl2_178
| ~ spl2_255
| ~ spl2_258
| ~ spl2_355
| ~ spl2_371 ),
inference(avatar_contradiction_clause,[],[f20380]) ).
thf(f20382,plain,
( spl2_364
| ~ spl2_244
| ~ spl2_362
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f20373,f20309,f18779,f6684,f19408]) ).
thf(f20383,plain,
( $false
| ~ spl2_54
| ~ spl2_255
| ~ spl2_361
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f20374,f821]) ).
thf(f20384,plain,
( ~ spl2_54
| ~ spl2_255
| ~ spl2_361
| ~ spl2_371 ),
inference(avatar_contradiction_clause,[],[f20383]) ).
thf(f20387,definition,
( spl2_372
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_372])],[avatar_definition]) ).
thf(f20388,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_372 ),
inference(avatar_component_clause,[],[f20387]) ).
thf(f20390,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_244
| ~ spl2_254
| ~ spl2_303
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f18628,f7069]) ).
thf(f20391,plain,
( ~ spl2_188
| ~ spl2_29
| ~ spl2_244
| ~ spl2_254
| ~ spl2_303
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f20390,f18372,f10513,f7068,f6684,f350,f5498]) ).
thf(f20394,definition,
( spl2_373
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_373])],[avatar_definition]) ).
thf(f20395,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_373 ),
inference(avatar_component_clause,[],[f20394]) ).
thf(f20397,plain,
( spl2_325
| ~ spl2_92
| ~ spl2_234
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f15541,f10513,f6393,f2448,f12688]) ).
thf(f20398,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_83
| ~ spl2_143
| ~ spl2_346 ),
inference(forward_subsumption_resolution,[],[f18206,f5264]) ).
thf(f20399,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_84
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f18222,f11201]) ).
thf(f20400,plain,
( ~ spl2_98
| spl2_188
| ~ spl2_77
| ~ spl2_100
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f17219,f5310,f2736,f2281,f5498,f2724]) ).
thf(f20401,plain,
( ~ spl2_92
| ~ spl2_94
| ~ spl2_29
| ~ spl2_234
| ~ spl2_244
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f15560,f10513,f6684,f6393,f350,f2531,f2448]) ).
thf(f20405,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_83
| spl2_84
| ~ spl2_143
| ~ spl2_346 ),
inference(forward_subsumption_resolution,[],[f20398,f11201]) ).
thf(f20406,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_83
| spl2_84
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f20399,f5264]) ).
thf(f20409,plain,
( spl2_255
| spl2_83
| spl2_84
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f20406,f5494,f2310,f2307,f7072]) ).
thf(f20413,definition,
( spl2_374
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_374])],[avatar_definition]) ).
thf(f20414,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_374 ),
inference(avatar_component_clause,[],[f20413]) ).
thf(f20418,definition,
( spl2_375
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_375])],[avatar_definition]) ).
thf(f20419,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_375 ),
inference(avatar_component_clause,[],[f20418]) ).
thf(f20422,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_83
| spl2_84
| ~ spl2_143
| ~ spl2_346 ),
inference(forward_subsumption_resolution,[],[f20405,f41]) ).
thf(f20424,definition,
( spl2_376
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_376])],[avatar_definition]) ).
thf(f20425,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_376 ),
inference(avatar_component_clause,[],[f20424]) ).
thf(f20426,plain,
( spl2_376
| ~ spl2_29
| ~ spl2_258
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f18929,f18779,f7257,f350,f20424]) ).
thf(f20430,plain,
( spl2_110
| ~ spl2_29
| spl2_83
| spl2_84
| ~ spl2_143
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f20422,f16859,f3899,f2310,f2307,f350,f2964]) ).
thf(f20467,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_5
| spl2_29 ),
inference(constrained_superposition,[],[f3176,f93]) ).
thf(f20469,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_29
| ~ spl2_71 ),
inference(constrained_superposition,[],[f3176,f1882]) ).
thf(f20470,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_29
| ~ spl2_143 ),
inference(constrained_superposition,[],[f3176,f3900]) ).
thf(f20471,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_29
| ~ spl2_70 ),
inference(constrained_superposition,[],[f3176,f1554]) ).
thf(f20473,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_29
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f20470]) ).
thf(f20475,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5
| spl2_29 ),
inference(trivial_inequality_removal,[],[f20467]) ).
thf(f20476,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_29
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f20469]) ).
thf(f20477,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_29
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f20471]) ).
thf(f20479,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_29
| spl2_31
| ~ spl2_143 ),
inference(forward_subsumption_resolution,[],[f20473,f380]) ).
thf(f20481,plain,
( $false
| ~ spl2_5
| spl2_29
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f20475,f10904]) ).
thf(f20482,plain,
( ~ spl2_5
| spl2_29
| spl2_308 ),
inference(avatar_contradiction_clause,[],[f20481]) ).
thf(f20483,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_29
| ~ spl2_71
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f20476,f10904]) ).
thf(f20484,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_29
| ~ spl2_70 ),
inference(forward_subsumption_resolution,[],[f20477,f41]) ).
thf(f20486,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_29
| spl2_31
| ~ spl2_143 ),
inference(forward_subsumption_resolution,[],[f20479,f41]) ).
thf(f20488,plain,
( spl2_21
| spl2_29
| ~ spl2_71
| spl2_308 ),
inference(avatar_split_clause,[],[f20483,f10829,f1881,f350,f249]) ).
thf(f20489,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_29
| ~ spl2_70
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f20484,f10904]) ).
thf(f20490,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_20
| spl2_29
| spl2_31
| ~ spl2_143 ),
inference(forward_subsumption_resolution,[],[f20486,f7197]) ).
thf(f20493,plain,
( spl2_21
| spl2_29
| ~ spl2_70
| spl2_308 ),
inference(avatar_split_clause,[],[f20489,f10829,f1553,f350,f249]) ).
thf(f20494,plain,
( spl2_21
| spl2_20
| spl2_29
| spl2_31
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f20490,f3899,f379,f350,f246,f249]) ).
thf(f20506,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_119 ),
inference(constrained_superposition,[],[f3314,f29]) ).
thf(f20508,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_119 ),
inference(trivial_inequality_removal,[],[f20506]) ).
thf(f20511,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_83
| spl2_119 ),
inference(forward_subsumption_resolution,[],[f20508,f5264]) ).
thf(f20512,plain,
( spl2_94
| spl2_83
| spl2_119 ),
inference(avatar_split_clause,[],[f20511,f3313,f2307,f2531]) ).
thf(f20679,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_18
| ~ spl2_213
| spl2_246 ),
inference(forward_subsumption_resolution,[],[f17475,f7325]) ).
thf(f20680,plain,
( spl2_21
| spl2_140
| spl2_20
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f17515,f5988,f246,f3614,f249]) ).
thf(f20687,definition,
( spl2_378
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_378])],[avatar_definition]) ).
thf(f20688,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_378 ),
inference(avatar_component_clause,[],[f20687]) ).
thf(f20692,plain,
( spl2_378
| ~ spl2_204
| ~ spl2_18
| ~ spl2_213
| spl2_246 ),
inference(avatar_split_clause,[],[f20679,f6697,f5798,f223,f5738,f20687]) ).
thf(f20748,plain,
( ( $true != $true )
| ~ spl2_9
| spl2_246 ),
inference(constrained_superposition,[],[f7325,f121]) ).
thf(f20753,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_303 ),
inference(constrained_superposition,[],[f10514,f121]) ).
thf(f20770,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_9
| ~ spl2_302 ),
inference(constrained_superposition,[],[f10436,f121]) ).
thf(f20781,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f20770]) ).
thf(f20790,plain,
( $false
| ~ spl2_9
| spl2_246 ),
inference(trivial_inequality_removal,[],[f20748]) ).
thf(f20791,plain,
( ~ spl2_9
| spl2_246 ),
inference(avatar_contradiction_clause,[],[f20790]) ).
thf(f20792,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f20753]) ).
thf(f20810,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_302 ),
inference(forward_subsumption_resolution,[],[f20781,f121]) ).
thf(f20814,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_9
| ~ spl2_303 ),
inference(forward_subsumption_resolution,[],[f20792,f121]) ).
thf(f20817,plain,
( spl2_315
| ~ spl2_9
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f20810,f10435,f120,f11415]) ).
thf(f20820,plain,
( spl2_375
| ~ spl2_9
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f20814,f10513,f120,f20418]) ).
thf(f20911,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_126
| ~ spl2_178 ),
inference(constrained_superposition,[],[f3371,f5382]) ).
thf(f20925,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_126
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f20911]) ).
thf(f20960,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_140 ),
inference(constrained_superposition,[],[f27,f3615]) ).
thf(f20966,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f20960]) ).
thf(f20975,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_204
| ~ spl2_364 ),
inference(constrained_superposition,[],[f19409,f5739]) ).
thf(f20989,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_204
| ~ spl2_364 ),
inference(trivial_inequality_removal,[],[f20975]) ).
thf(f20990,plain,
( $false
| ~ spl2_29
| ~ spl2_204
| ~ spl2_364 ),
inference(forward_subsumption_resolution,[],[f20989,f351]) ).
thf(f20991,plain,
( ~ spl2_29
| ~ spl2_204
| ~ spl2_364 ),
inference(avatar_contradiction_clause,[],[f20990]) ).
thf(f21159,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_244
| ~ spl2_348 ),
inference(constrained_superposition,[],[f17086,f6685]) ).
thf(f21170,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_244
| ~ spl2_348 ),
inference(trivial_inequality_removal,[],[f21159]) ).
thf(f21177,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_244
| ~ spl2_348 ),
inference(forward_subsumption_resolution,[],[f21170,f351]) ).
thf(f21178,plain,
( $false
| ~ spl2_29
| ~ spl2_149
| ~ spl2_244
| ~ spl2_348 ),
inference(forward_subsumption_resolution,[],[f21177,f4019]) ).
thf(f21179,plain,
( ~ spl2_29
| ~ spl2_149
| ~ spl2_244
| ~ spl2_348 ),
inference(avatar_contradiction_clause,[],[f21178]) ).
thf(f21256,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_102
| ~ spl2_204 ),
inference(constrained_superposition,[],[f2749,f5739]) ).
thf(f21262,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 ) )
| ~ spl2_102
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f21256]) ).
thf(f21266,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_102
| ~ spl2_204
| ~ spl2_244 ),
inference(forward_subsumption_resolution,[],[f21262,f6685]) ).
thf(f21267,plain,
( spl2_364
| ~ spl2_102
| ~ spl2_204
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f21266,f6684,f5738,f2748,f19408]) ).
thf(f21271,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_289
| ~ spl2_371 ),
inference(constrained_superposition,[],[f9738,f20310]) ).
thf(f21272,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_254
| ~ spl2_289 ),
inference(constrained_superposition,[],[f9738,f7069]) ).
thf(f21285,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_289
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f21271]) ).
thf(f21292,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_254
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f21272]) ).
thf(f21294,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_54
| ~ spl2_289
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f21285,f821]) ).
thf(f21295,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_149
| ~ spl2_254
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f21292,f4019]) ).
thf(f21297,plain,
( spl2_215
| ~ spl2_54
| ~ spl2_289
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f21294,f20309,f9737,f820,f5808]) ).
thf(f21298,plain,
( spl2_90
| ~ spl2_149
| ~ spl2_254
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f21295,f9737,f7068,f4018,f2338]) ).
thf(f21324,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f14466,f76]) ).
thf(f21335,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f21324]) ).
thf(f21549,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_204 ),
inference(constrained_superposition,[],[f20966,f5739]) ).
thf(f21556,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_140
| ~ spl2_204 ),
inference(duplicate_literal_removal,[],[f21549]) ).
thf(f21557,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f21556]) ).
thf(f21559,plain,
( spl2_44
| ~ spl2_140
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f21557,f5738,f3614,f631]) ).
thf(f21573,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_20
| ~ spl2_40 ),
inference(constrained_superposition,[],[f14357,f247]) ).
thf(f21580,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_20
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f21573]) ).
thf(f21680,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_40 ),
inference(constrained_superposition,[],[f21580,f247]) ).
thf(f21684,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_20
| ~ spl2_40 ),
inference(duplicate_literal_removal,[],[f21680]) ).
thf(f21685,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f21684]) ).
thf(f21691,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_40
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f21685,f4019]) ).
thf(f21693,plain,
( spl2_104
| ~ spl2_20
| ~ spl2_40
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f21691,f4018,f512,f246,f2755]) ).
thf(f21775,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| spl2_94
| ~ spl2_126 ),
inference(forward_subsumption_resolution,[],[f15317,f17773]) ).
thf(f21780,definition,
( spl2_381
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_381])],[avatar_definition]) ).
thf(f21781,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_381 ),
inference(avatar_component_clause,[],[f21780]) ).
thf(f21798,plain,
( ~ spl2_31
| ~ spl2_20
| ~ spl2_126
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f20925,f5381,f3370,f246,f379]) ).
thf(f21805,plain,
( ~ spl2_20
| ~ spl2_31
| ~ spl2_18
| spl2_94
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f21775,f3370,f2531,f223,f379,f246]) ).
thf(f21827,definition,
( spl2_383
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_383])],[avatar_definition]) ).
thf(f21828,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_383 ),
inference(avatar_component_clause,[],[f21827]) ).
thf(f21829,plain,
( ~ spl2_194
| spl2_383
| ~ spl2_173
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f15540,f10513,f5327,f21827,f5704]) ).
thf(f21947,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_182
| ~ spl2_356 ),
inference(constrained_superposition,[],[f5476,f18376]) ).
thf(f22039,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_356 ),
inference(constrained_superposition,[],[f49,f18376]) ).
thf(f22083,plain,
( spl2_226
| ~ spl2_182
| ~ spl2_356 ),
inference(avatar_split_clause,[],[f21947,f18375,f5475,f5973]) ).
thf(f22086,definition,
( spl2_384
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_384])],[avatar_definition]) ).
thf(f22094,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_173
| ~ spl2_246 ),
inference(constrained_superposition,[],[f14934,f6698]) ).
thf(f22103,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f22094]) ).
thf(f22114,plain,
( spl2_369
| ~ spl2_173
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f22103,f6697,f5327,f20214]) ).
thf(f22180,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_356 ),
inference(equality_resolution,[],[f22039]) ).
thf(f22181,plain,
( spl2_300
| ~ spl2_356 ),
inference(avatar_split_clause,[],[f22180,f18375,f10412]) ).
thf(f22304,plain,
( $false
| ~ spl2_55
| spl2_191 ),
inference(forward_subsumption_resolution,[],[f6694,f848]) ).
thf(f22305,plain,
( ~ spl2_55
| spl2_191 ),
inference(avatar_contradiction_clause,[],[f22304]) ).
thf(f22363,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_109
| ~ spl2_169 ),
inference(constrained_superposition,[],[f2958,f5314]) ).
thf(f22375,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_169 ),
inference(constrained_superposition,[],[f1015,f5314]) ).
thf(f22387,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_109
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f22363]) ).
thf(f22389,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_18
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f22375]) ).
thf(f22510,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_258
| ~ spl2_355 ),
inference(constrained_superposition,[],[f14572,f18373]) ).
thf(f22511,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_355 ),
inference(constrained_superposition,[],[f1015,f18373]) ).
thf(f22517,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f22511]) ).
thf(f22524,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_258
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f22510]) ).
thf(f22526,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_18
| spl2_254
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f22517,f7902]) ).
thf(f22527,plain,
( spl2_303
| ~ spl2_258
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f22524,f18372,f7257,f10513]) ).
thf(f22530,plain,
( spl2_303
| ~ spl2_18
| spl2_254
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f22526,f18372,f7068,f223,f10513]) ).
thf(f22550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_170 ),
inference(constrained_superposition,[],[f1015,f5318]) ).
thf(f22564,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f22550]) ).
thf(f22667,plain,
( spl2_284
| spl2_244
| ~ spl2_18
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f22564,f5317,f223,f6684,f9485]) ).
thf(f22684,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_204 ),
inference(constrained_superposition,[],[f628,f5739]) ).
thf(f22688,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_204
| ~ spl2_234 ),
inference(constrained_superposition,[],[f14604,f5739]) ).
thf(f22691,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f27,f5739]) ).
thf(f22695,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f22691]) ).
thf(f22699,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_43
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f22684]) ).
thf(f22700,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_204
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f22688]) ).
thf(f22757,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f188,f9050]) ).
thf(f22758,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f201,f9050]) ).
thf(f22761,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_281 ),
inference(constrained_superposition,[],[f344,f9050]) ).
thf(f22766,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f1673,f9050]) ).
thf(f22768,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_85
| ~ spl2_281 ),
inference(constrained_superposition,[],[f2316,f9050]) ).
thf(f22771,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_281 ),
inference(constrained_superposition,[],[f4261,f9050]) ).
thf(f22853,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_281 ),
inference(duplicate_literal_removal,[],[f22771]) ).
thf(f22856,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_281 ),
inference(duplicate_literal_removal,[],[f22761]) ).
thf(f22858,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_281 ),
inference(duplicate_literal_removal,[],[f22758]) ).
thf(f22862,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f22853,f385]) ).
thf(f22863,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_85
| spl2_232
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f22768,f11420]) ).
thf(f22867,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_232
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f22766,f11420]) ).
thf(f22876,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_27
| spl2_68
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f22856,f1232]) ).
thf(f22879,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_68
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f22757,f1232]) ).
thf(f22882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_68
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f22858,f1232]) ).
thf(f22887,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| spl2_68
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f22862,f1232]) ).
thf(f22888,plain,
( ~ spl2_75
| ~ spl2_85
| spl2_232
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f22863,f9049,f6288,f2315,f2273]) ).
thf(f22889,plain,
( $false
| spl2_121
| spl2_232
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f22867,f3321]) ).
thf(f22890,plain,
( spl2_121
| spl2_232
| ~ spl2_281 ),
inference(avatar_contradiction_clause,[],[f22889]) ).
thf(f22898,plain,
( spl2_23
| ~ spl2_14
| ~ spl2_27
| spl2_68
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f22876,f9049,f1231,f343,f209,f274]) ).
thf(f22902,plain,
( $false
| spl2_22
| spl2_68
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f22879,f272]) ).
thf(f22903,plain,
( spl2_22
| spl2_68
| ~ spl2_281 ),
inference(avatar_contradiction_clause,[],[f22902]) ).
thf(f22904,plain,
( spl2_272
| spl2_68
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f22882,f9049,f1231,f8278]) ).
thf(f22907,plain,
( spl2_23
| ~ spl2_17
| spl2_68
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f22887,f9049,f1231,f219,f274]) ).
thf(f23119,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_139
| ~ spl2_172 ),
inference(constrained_superposition,[],[f14466,f5325]) ).
thf(f23135,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f23119]) ).
thf(f23152,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_139
| ~ spl2_172
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f23135,f5800]) ).
thf(f23156,plain,
( spl2_196
| ~ spl2_139
| ~ spl2_172
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f23152,f5734,f5324,f3611,f5710]) ).
thf(f23159,plain,
( spl2_254
| spl2_302
| ~ spl2_18
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f22389,f5313,f223,f10435,f7068]) ).
thf(f23160,plain,
( spl2_302
| ~ spl2_204
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f22700,f6393,f5738,f10435]) ).
thf(f23162,plain,
( ~ spl2_202
| spl2_285
| ~ spl2_43
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f22699,f5738,f627,f9497,f5731]) ).
thf(f23164,definition,
( spl2_390
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_390])],[avatar_definition]) ).
thf(f23165,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_390 ),
inference(avatar_component_clause,[],[f23164]) ).
thf(f23166,plain,
( ~ spl2_258
| spl2_390
| ~ spl2_109
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f22387,f5313,f2957,f23164,f7257]) ).
thf(f23193,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_37
| ~ spl2_202 ),
inference(constrained_superposition,[],[f426,f5732]) ).
thf(f23209,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_37
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f23193]) ).
thf(f23214,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_37
| ~ spl2_54
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f23209,f821]) ).
thf(f23215,plain,
( spl2_215
| ~ spl2_37
| ~ spl2_54
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f23214,f5731,f820,f425,f5808]) ).
thf(f23216,plain,
( spl2_246
| ~ spl2_20
| spl2_322
| ~ spl2_18
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f15653,f9505,f223,f12455,f246,f6697]) ).
thf(f23291,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_211 ),
inference(constrained_superposition,[],[f27,f5764]) ).
thf(f23296,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f23291]) ).
thf(f23354,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_104
| ~ spl2_188 ),
inference(constrained_superposition,[],[f2756,f5499]) ).
thf(f23358,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_18
| ~ spl2_188 ),
inference(constrained_superposition,[],[f1015,f5499]) ).
thf(f23360,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f27,f5499]) ).
thf(f23361,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_104
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f23354]) ).
thf(f23364,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_188 ),
inference(duplicate_literal_removal,[],[f23358]) ).
thf(f23365,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f23364]) ).
thf(f23368,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f23360]) ).
thf(f23377,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_301
| ~ spl2_331 ),
inference(constrained_superposition,[],[f13756,f10416]) ).
thf(f23381,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_234
| ~ spl2_301 ),
inference(constrained_superposition,[],[f14604,f10416]) ).
thf(f23391,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_234
| ~ spl2_301 ),
inference(duplicate_literal_removal,[],[f23381]) ).
thf(f23392,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_234
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f23391]) ).
thf(f23398,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_301
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f23377]) ).
thf(f23399,plain,
( spl2_363
| ~ spl2_234
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f23392,f10415,f6393,f19269]) ).
thf(f23400,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_54
| ~ spl2_301
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f23398,f821]) ).
thf(f23401,plain,
( spl2_378
| ~ spl2_54
| ~ spl2_301
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f23400,f13755,f10415,f820,f20687]) ).
thf(f23416,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_198
| ~ spl2_286 ),
inference(constrained_superposition,[],[f9506,f5718]) ).
thf(f23420,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f58,f5718]) ).
thf(f23425,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f27,f5718]) ).
thf(f23429,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f23425]) ).
thf(f23430,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f23416]) ).
thf(f23433,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f23420]) ).
thf(f23436,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_198
| spl2_203 ),
inference(forward_subsumption_resolution,[],[f23433,f5735]) ).
thf(f23437,plain,
( spl2_381
| ~ spl2_198
| spl2_203 ),
inference(avatar_split_clause,[],[f23436,f5734,f5717,f21780]) ).
thf(f23445,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f5985,f78]) ).
thf(f23446,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f5985,f187]) ).
thf(f23452,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f23446]) ).
thf(f23453,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f23445]) ).
thf(f23460,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_47
| ~ spl2_149 ),
inference(constrained_superposition,[],[f692,f4019]) ).
thf(f23463,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f23460]) ).
thf(f23564,definition,
( spl2_391
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_391])],[avatar_definition]) ).
thf(f23565,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_391 ),
inference(avatar_component_clause,[],[f23564]) ).
thf(f23575,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_94
| ~ spl2_391 ),
inference(constrained_superposition,[],[f23565,f2532]) ).
thf(f23582,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_94
| ~ spl2_391 ),
inference(trivial_inequality_removal,[],[f23575]) ).
thf(f23586,plain,
( $false
| ~ spl2_40
| ~ spl2_94
| ~ spl2_391 ),
inference(forward_subsumption_resolution,[],[f23582,f2064]) ).
thf(f23587,plain,
( ~ spl2_40
| ~ spl2_94
| ~ spl2_391 ),
inference(avatar_contradiction_clause,[],[f23586]) ).
thf(f23628,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f27,f5382]) ).
thf(f23638,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f23628]) ).
thf(f23655,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f176,f5311]) ).
thf(f23667,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f23655]) ).
thf(f23679,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| spl2_84
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f23667,f11201]) ).
thf(f23683,plain,
( ~ spl2_247
| spl2_177
| spl2_84
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f23679,f5310,f2310,f5377,f6703]) ).
thf(f23714,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_189 ),
inference(constrained_superposition,[],[f5503,f29]) ).
thf(f23727,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_189 ),
inference(trivial_inequality_removal,[],[f23714]) ).
thf(f23730,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_207 ),
inference(constrained_superposition,[],[f5750,f29]) ).
thf(f23735,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_207 ),
inference(constrained_superposition,[],[f5750,f187]) ).
thf(f23742,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_207 ),
inference(trivial_inequality_removal,[],[f23730]) ).
thf(f23745,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_207 ),
inference(trivial_inequality_removal,[],[f23735]) ).
thf(f23789,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_171
| ~ spl2_196 ),
inference(constrained_superposition,[],[f5711,f5321]) ).
thf(f23794,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_171
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f23789]) ).
thf(f23980,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_244
| ~ spl2_303 ),
inference(constrained_superposition,[],[f10514,f6685]) ).
thf(f23987,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_244
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f23980]) ).
thf(f24011,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_204
| ~ spl2_244 ),
inference(constrained_superposition,[],[f22695,f6685]) ).
thf(f24023,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_204
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f24011]) ).
thf(f24086,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_198 ),
inference(constrained_superposition,[],[f23429,f5328]) ).
thf(f24088,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_173
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f24086]) ).
thf(f24121,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_18
| ~ spl2_188 ),
inference(constrained_superposition,[],[f23368,f224]) ).
thf(f24132,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_18
| ~ spl2_188 ),
inference(duplicate_literal_removal,[],[f24121]) ).
thf(f24133,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_18
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f24132]) ).
thf(f24550,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_29
| ~ spl2_279 ),
inference(constrained_superposition,[],[f3176,f9028]) ).
thf(f24556,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_279
| ~ spl2_290 ),
inference(constrained_superposition,[],[f9889,f9028]) ).
thf(f24606,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_279
| ~ spl2_290 ),
inference(duplicate_literal_removal,[],[f24556]) ).
thf(f24607,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_279
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f24606]) ).
thf(f24620,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_29
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f24550]) ).
thf(f24645,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_279
| ~ spl2_290
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f24607,f10904]) ).
thf(f24646,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_29
| ~ spl2_279
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f24620,f10904]) ).
thf(f24647,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_31
| ~ spl2_279
| ~ spl2_290
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f24645,f380]) ).
thf(f24648,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_29
| spl2_31
| ~ spl2_279
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f24646,f380]) ).
thf(f24649,plain,
( spl2_102
| spl2_21
| spl2_31
| ~ spl2_279
| ~ spl2_290
| spl2_308 ),
inference(avatar_split_clause,[],[f24647,f10829,f9888,f9027,f379,f249,f2748]) ).
thf(f24650,plain,
( spl2_21
| spl2_29
| spl2_31
| ~ spl2_279
| spl2_308 ),
inference(avatar_split_clause,[],[f24648,f10829,f9027,f379,f350,f249]) ).
thf(f24761,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f3961,f77]) ).
thf(f24769,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f24761]) ).
thf(f24797,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_154
| ~ spl2_178 ),
inference(constrained_superposition,[],[f23638,f4041]) ).
thf(f24816,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_154
| ~ spl2_178 ),
inference(duplicate_literal_removal,[],[f24797]) ).
thf(f24817,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_154
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f24816]) ).
thf(f24845,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_277
| ~ spl2_325 ),
inference(constrained_superposition,[],[f12689,f8936]) ).
thf(f24876,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_277
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f24845]) ).
thf(f24904,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_104
| ~ spl2_277
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f24876,f2756]) ).
thf(f24910,definition,
( spl2_393
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_393])],[avatar_definition]) ).
thf(f24911,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_393 ),
inference(avatar_component_clause,[],[f24910]) ).
thf(f24914,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_301 ),
inference(avatar_component_clause,[],[f10415]) ).
thf(f24944,definition,
( spl2_394
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_394])],[avatar_definition]) ).
thf(f24945,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_394 ),
inference(avatar_component_clause,[],[f24944]) ).
thf(f24953,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_244
| ~ spl2_394 ),
inference(constrained_superposition,[],[f24945,f6685]) ).
thf(f24961,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_244
| ~ spl2_394 ),
inference(trivial_inequality_removal,[],[f24953]) ).
thf(f25286,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_104
| ~ spl2_184 ),
inference(constrained_superposition,[],[f2756,f5485]) ).
thf(f25326,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_104
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f25286]) ).
thf(f25452,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_104
| ~ spl2_255
| ~ spl2_277
| ~ spl2_325 ),
inference(constrained_superposition,[],[f24904,f7073]) ).
thf(f25459,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_104
| ~ spl2_255
| ~ spl2_277
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f25452]) ).
thf(f25460,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_104
| ~ spl2_188
| ~ spl2_255
| ~ spl2_277
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f25459,f5499]) ).
thf(f25461,plain,
( spl2_356
| spl2_186
| ~ spl2_104
| ~ spl2_188
| ~ spl2_255
| ~ spl2_277
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f25460,f12688,f8935,f7072,f5498,f2755,f5491,f18375]) ).
thf(f25734,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_197 ),
inference(constrained_superposition,[],[f14804,f76]) ).
thf(f25741,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f25734]) ).
thf(f25750,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_168
| ~ spl2_207 ),
inference(constrained_superposition,[],[f23742,f5311]) ).
thf(f25756,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_168
| ~ spl2_207 ),
inference(trivial_inequality_removal,[],[f25750]) ).
thf(f25759,plain,
( spl2_355
| spl2_356
| ~ spl2_168
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f25756,f5749,f5310,f18375,f18372]) ).
thf(f25762,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_329
| ~ spl2_355 ),
inference(constrained_superposition,[],[f13253,f18373]) ).
thf(f25766,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_204
| ~ spl2_244
| ~ spl2_355 ),
inference(constrained_superposition,[],[f24023,f18373]) ).
thf(f25767,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_355
| ~ spl2_393 ),
inference(constrained_superposition,[],[f24911,f18373]) ).
thf(f25778,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_355 ),
inference(constrained_superposition,[],[f27,f18373]) ).
thf(f25784,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f25778]) ).
thf(f25787,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_329
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f25762]) ).
thf(f25795,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_355
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f25767]) ).
thf(f25797,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_204
| ~ spl2_244
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f25766]) ).
thf(f25800,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_204
| ~ spl2_244
| ~ spl2_254
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f25797,f7069]) ).
thf(f25802,plain,
( spl2_390
| ~ spl2_204
| ~ spl2_244
| ~ spl2_254
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f25800,f18372,f7068,f6684,f5738,f23164]) ).
thf(f25871,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_18
| ~ spl2_355 ),
inference(constrained_superposition,[],[f25784,f224]) ).
thf(f25888,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_18
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f25871]) ).
thf(f25938,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f23453,f77]) ).
thf(f25941,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f25938]) ).
thf(f25945,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_189 ),
inference(constrained_superposition,[],[f23727,f29]) ).
thf(f25952,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_189 ),
inference(trivial_inequality_removal,[],[f25945]) ).
thf(f25953,plain,
( spl2_263
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f25952,f5502,f7832]) ).
thf(f25968,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_198
| ~ spl2_229 ),
inference(constrained_superposition,[],[f23429,f25941]) ).
thf(f25975,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_229
| ~ spl2_390 ),
inference(constrained_superposition,[],[f23165,f25941]) ).
thf(f25995,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_198
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f25968]) ).
thf(f26009,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_229
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f25975]) ).
thf(f26083,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_120
| spl2_208 ),
inference(constrained_superposition,[],[f13433,f3317]) ).
thf(f26098,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_120
| ~ spl2_211 ),
inference(constrained_superposition,[],[f23296,f3317]) ).
thf(f26129,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_120
| spl2_208 ),
inference(trivial_inequality_removal,[],[f26083]) ).
thf(f26170,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f26098]) ).
thf(f26172,plain,
( $false
| ~ spl2_120
| spl2_208
| spl2_246 ),
inference(forward_subsumption_resolution,[],[f26129,f7325]) ).
thf(f26173,plain,
( ~ spl2_120
| spl2_208
| spl2_246 ),
inference(avatar_contradiction_clause,[],[f26172]) ).
thf(f26184,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_120
| ~ spl2_211
| spl2_246 ),
inference(forward_subsumption_resolution,[],[f26170,f7325]) ).
thf(f26197,plain,
( spl2_274
| ~ spl2_120
| ~ spl2_211
| spl2_246 ),
inference(avatar_split_clause,[],[f26184,f6697,f5763,f3316,f8293]) ).
thf(f26210,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_118
| ~ spl2_168 ),
inference(constrained_superposition,[],[f3311,f5311]) ).
thf(f26213,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f26210]) ).
thf(f26219,plain,
( ~ spl2_247
| ~ spl2_118
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f26213,f5310,f3310,f6703]) ).
thf(f26222,definition,
( spl2_399
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_399])],[avatar_definition]) ).
thf(f26223,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_399 ),
inference(avatar_component_clause,[],[f26222]) ).
thf(f26224,plain,
( spl2_254
| spl2_399
| ~ spl2_18
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f25888,f18372,f223,f26222,f7068]) ).
thf(f26230,plain,
( ~ spl2_181
| ~ spl2_180
| ~ spl2_329
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f25787,f18372,f13252,f5425,f5428]) ).
thf(f26232,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_384 ),
inference(avatar_component_clause,[],[f22086]) ).
thf(f26239,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_104
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f25326,f41]) ).
thf(f26241,plain,
( ~ spl2_180
| ~ spl2_104
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f23361,f5498,f2755,f5425]) ).
thf(f26244,definition,
( spl2_401
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_401])],[avatar_definition]) ).
thf(f26245,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_401 ),
inference(avatar_component_clause,[],[f26244]) ).
thf(f26248,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_229
| ~ spl2_244
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f26009,f6685]) ).
thf(f26250,definition,
( spl2_402
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_402])],[avatar_definition]) ).
thf(f26251,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_402 ),
inference(avatar_component_clause,[],[f26250]) ).
thf(f26252,plain,
( spl2_402
| spl2_254
| ~ spl2_18
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f24133,f5498,f223,f7068,f26250]) ).
thf(f26253,plain,
( spl2_375
| ~ spl2_29
| ~ spl2_244
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f23987,f10513,f6684,f350,f20418]) ).
thf(f26258,plain,
( spl2_140
| ~ spl2_117
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f23745,f5749,f3306,f3614]) ).
thf(f26261,plain,
( spl2_44
| spl2_254
| ~ spl2_18
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f23365,f5498,f223,f7068,f631]) ).
thf(f26268,definition,
( spl2_404
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_404])],[avatar_definition]) ).
thf(f26269,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_404 ),
inference(avatar_component_clause,[],[f26268]) ).
thf(f26274,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_104
| ~ spl2_184
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f26239,f10904]) ).
thf(f26276,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_140 ),
inference(avatar_component_clause,[],[f3614]) ).
thf(f26277,plain,
( spl2_93
| spl2_180
| ~ spl2_140
| ~ spl2_229
| ~ spl2_244
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f26248,f23164,f6684,f5984,f3614,f5425,f2451]) ).
thf(f26279,definition,
( spl2_405
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_405])],[avatar_definition]) ).
thf(f26280,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_405 ),
inference(avatar_component_clause,[],[f26279]) ).
thf(f26285,plain,
( ~ spl2_180
| spl2_193
| ~ spl2_104
| ~ spl2_184
| spl2_308 ),
inference(avatar_split_clause,[],[f26274,f10829,f5484,f2755,f5554,f5425]) ).
thf(f26287,plain,
( spl2_70
| spl2_20
| ~ spl2_4
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f20028,f219,f89,f246,f1553]) ).
thf(f26289,plain,
( spl2_358
| ~ spl2_169
| ~ spl2_355
| ~ spl2_393 ),
inference(avatar_split_clause,[],[f25795,f24910,f18372,f5313,f18681]) ).
thf(f26296,plain,
( spl2_140
| ~ spl2_14
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f23452,f5984,f209,f3614]) ).
thf(f26297,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_154
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f24817,f41]) ).
thf(f26298,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f24769,f41]) ).
thf(f26301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_83
| ~ spl2_154
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f26297,f5264]) ).
thf(f26302,plain,
( spl2_19
| spl2_20
| spl2_40
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f26298,f219,f512,f246,f226]) ).
thf(f26304,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| spl2_83
| spl2_94
| ~ spl2_154
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f26301,f17773]) ).
thf(f26306,plain,
( spl2_93
| spl2_110
| spl2_44
| spl2_83
| spl2_94
| ~ spl2_154
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f26304,f5381,f4040,f2531,f2307,f631,f2964,f2451]) ).
thf(f26310,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_38
| ~ spl2_40 ),
inference(constrained_superposition,[],[f430,f2064]) ).
thf(f26314,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f26310]) ).
thf(f26374,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_29
| ~ spl2_38
| ~ spl2_40 ),
inference(constrained_superposition,[],[f26314,f351]) ).
thf(f26378,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_29
| ~ spl2_38
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f26374]) ).
thf(f26428,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_204
| ~ spl2_245 ),
inference(constrained_superposition,[],[f11315,f6689]) ).
thf(f26431,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_204
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f26428]) ).
thf(f26433,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_204
| ~ spl2_245
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f26431,f10904]) ).
thf(f26434,plain,
( spl2_299
| spl2_204
| ~ spl2_245
| spl2_308 ),
inference(avatar_split_clause,[],[f26433,f10829,f6688,f5738,f10334]) ).
thf(f26475,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_188
| ~ spl2_258 ),
inference(constrained_superposition,[],[f23368,f7258]) ).
thf(f26477,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_258
| ~ spl2_355 ),
inference(constrained_superposition,[],[f25784,f7258]) ).
thf(f26487,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_188
| ~ spl2_258 ),
inference(duplicate_literal_removal,[],[f26475]) ).
thf(f26488,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_188
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f26487]) ).
thf(f26491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_258
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f26477]) ).
thf(f26498,plain,
( spl2_402
| ~ spl2_188
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f26488,f7257,f5498,f26250]) ).
thf(f26499,plain,
( spl2_399
| ~ spl2_258
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f26491,f18372,f7257,f26222]) ).
thf(f26594,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_346 ),
inference(constrained_superposition,[],[f16860,f5314]) ).
thf(f26604,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_169
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f26594]) ).
thf(f26608,plain,
( $false
| ~ spl2_169
| ~ spl2_188
| ~ spl2_346 ),
inference(forward_subsumption_resolution,[],[f26604,f5499]) ).
thf(f26609,plain,
( ~ spl2_169
| ~ spl2_188
| ~ spl2_346 ),
inference(avatar_contradiction_clause,[],[f26608]) ).
thf(f26610,plain,
( spl2_303
| ~ spl2_173
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f24088,f5717,f5327,f10513]) ).
thf(f26622,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_198
| spl2_206
| ~ spl2_229 ),
inference(forward_subsumption_resolution,[],[f25995,f12453]) ).
thf(f26631,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_40
| ~ spl2_244
| ~ spl2_394 ),
inference(forward_subsumption_resolution,[],[f24961,f2064]) ).
thf(f26640,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_40
| ~ spl2_99 ),
inference(forward_subsumption_resolution,[],[f2732,f26314]) ).
thf(f26651,plain,
( ~ spl2_31
| ~ spl2_29
| ~ spl2_38
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f26378,f512,f429,f350,f379]) ).
thf(f26656,plain,
( spl2_303
| spl2_299
| ~ spl2_198
| spl2_206
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f26622,f5984,f5745,f5717,f10334,f10513]) ).
thf(f26659,plain,
( ~ spl2_94
| ~ spl2_40
| ~ spl2_244
| ~ spl2_394 ),
inference(avatar_split_clause,[],[f26631,f24944,f6684,f512,f2531]) ).
thf(f26662,plain,
( spl2_32
| ~ spl2_38
| ~ spl2_40
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f26640,f2731,f512,f429,f383]) ).
thf(f26699,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f275,f51]) ).
thf(f26709,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f26699]) ).
thf(f26710,plain,
( spl2_308
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f26709,f274,f10829]) ).
thf(f26747,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f3327,f76]) ).
thf(f26749,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f3327,f187]) ).
thf(f26752,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f26749]) ).
thf(f26754,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f26747]) ).
thf(f26758,plain,
( spl2_178
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f26752,f3326,f5381]) ).
thf(f26759,plain,
( spl2_94
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f26754,f3326,f2531]) ).
thf(f26869,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_180
| ~ spl2_372 ),
inference(constrained_superposition,[],[f20388,f5477]) ).
thf(f26876,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_180
| ~ spl2_372 ),
inference(trivial_inequality_removal,[],[f26869]) ).
thf(f26880,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_29
| ~ spl2_180
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f26876,f351]) ).
thf(f26881,plain,
( $false
| ~ spl2_29
| ~ spl2_180
| ~ spl2_244
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f26880,f6685]) ).
thf(f26882,plain,
( ~ spl2_29
| ~ spl2_180
| ~ spl2_244
| ~ spl2_372 ),
inference(avatar_contradiction_clause,[],[f26881]) ).
thf(f26884,plain,
( spl2_144
| ~ spl2_47
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f23463,f4018,f691,f3902]) ).
thf(f26888,plain,
( ~ spl2_316
| ~ spl2_171
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f23794,f5710,f5320,f11444]) ).
thf(f26890,plain,
( ~ spl2_4
| spl2_244
| spl2_229
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f21335,f3611,f5984,f6684,f89]) ).
thf(f26891,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_197 ),
inference(forward_subsumption_resolution,[],[f25741,f41]) ).
thf(f26892,plain,
( spl2_29
| spl2_244
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f26891,f5714,f6684,f350]) ).
thf(f26953,plain,
( ( $true != $true )
| ~ spl2_55
| spl2_98 ),
inference(constrained_superposition,[],[f3384,f848]) ).
thf(f26967,plain,
( $false
| ~ spl2_55
| spl2_98 ),
inference(trivial_inequality_removal,[],[f26953]) ).
thf(f26968,plain,
( ~ spl2_55
| spl2_98 ),
inference(avatar_contradiction_clause,[],[f26967]) ).
thf(f27077,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_254
| ~ spl2_338 ),
inference(constrained_superposition,[],[f13992,f7069]) ).
thf(f27092,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_254
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f27077]) ).
thf(f27097,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_29
| ~ spl2_254
| ~ spl2_338 ),
inference(forward_subsumption_resolution,[],[f27092,f351]) ).
thf(f27099,plain,
( spl2_374
| ~ spl2_29
| ~ spl2_254
| ~ spl2_338 ),
inference(avatar_split_clause,[],[f27097,f13991,f7068,f350,f20413]) ).
thf(f27106,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_84
| ~ spl2_144 ),
inference(constrained_superposition,[],[f3903,f2311]) ).
thf(f27107,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_84 ),
inference(constrained_superposition,[],[f692,f2311]) ).
thf(f27110,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_47
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f27107]) ).
thf(f27113,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_84
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f27106]) ).
thf(f27114,plain,
( spl2_345
| ~ spl2_47
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f27110,f2310,f691,f16019]) ).
thf(f27115,plain,
( $false
| ~ spl2_54
| ~ spl2_84
| ~ spl2_144 ),
inference(forward_subsumption_resolution,[],[f27113,f821]) ).
thf(f27116,plain,
( ~ spl2_54
| ~ spl2_84
| ~ spl2_144 ),
inference(avatar_contradiction_clause,[],[f27115]) ).
thf(f27117,plain,
( spl2_322
| ~ spl2_20
| ~ spl2_198
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f23430,f9505,f5717,f246,f12455]) ).
thf(f27120,definition,
( spl2_412
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_412])],[avatar_definition]) ).
thf(f27121,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_412 ),
inference(avatar_component_clause,[],[f27120]) ).
thf(f27122,plain,
( spl2_412
| ~ spl2_84
| ~ spl2_234
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f15469,f12450,f6393,f2310,f27120]) ).
thf(f27243,definition,
( spl2_413
<=> ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_413])],[avatar_definition]) ).
thf(f27244,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ~ spl2_413 ),
inference(avatar_component_clause,[],[f27243]) ).
thf(f27283,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_246 ),
inference(constrained_superposition,[],[f27,f6698]) ).
thf(f27290,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f27283]) ).
thf(f27324,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_104
| ~ spl2_194 ),
inference(constrained_superposition,[],[f2756,f5705]) ).
thf(f27326,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_194
| ~ spl2_198 ),
inference(constrained_superposition,[],[f23429,f5705]) ).
thf(f27331,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_194
| ~ spl2_198 ),
inference(duplicate_literal_removal,[],[f27326]) ).
thf(f27332,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_194
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f27331]) ).
thf(f27334,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_104
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f27324]) ).
thf(f27336,plain,
( spl2_44
| ~ spl2_194
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f27332,f5717,f5704,f631]) ).
thf(f27339,plain,
( ~ spl2_206
| ~ spl2_104
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f27334,f5704,f2755,f5745]) ).
thf(f27472,plain,
( $false
| ~ spl2_122
| spl2_208 ),
inference(forward_subsumption_resolution,[],[f13433,f3324]) ).
thf(f27473,plain,
( ~ spl2_122
| spl2_208 ),
inference(avatar_contradiction_clause,[],[f27472]) ).
thf(f27533,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_261 ),
inference(constrained_superposition,[],[f7554,f5705]) ).
thf(f27536,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f27533]) ).
thf(f27539,plain,
( $false
| ~ spl2_29
| ~ spl2_194
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f27536,f351]) ).
thf(f27540,plain,
( ~ spl2_29
| ~ spl2_194
| ~ spl2_261 ),
inference(avatar_contradiction_clause,[],[f27539]) ).
thf(f27542,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_401 ),
inference(constrained_superposition,[],[f26245,f5314]) ).
thf(f27547,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_169
| ~ spl2_401 ),
inference(trivial_inequality_removal,[],[f27542]) ).
thf(f27549,plain,
( $false
| ~ spl2_92
| ~ spl2_169
| ~ spl2_401 ),
inference(forward_subsumption_resolution,[],[f27547,f2449]) ).
thf(f27550,plain,
( ~ spl2_92
| ~ spl2_169
| ~ spl2_401 ),
inference(avatar_contradiction_clause,[],[f27549]) ).
thf(f27554,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_92 ),
inference(constrained_superposition,[],[f632,f2449]) ).
thf(f27557,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f27554]) ).
thf(f27563,plain,
( spl2_346
| ~ spl2_44
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f27557,f2448,f631,f16859]) ).
thf(f27583,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_173
| ~ spl2_300 ),
inference(constrained_superposition,[],[f5328,f10413]) ).
thf(f27588,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_197
| ~ spl2_300 ),
inference(constrained_superposition,[],[f5715,f10413]) ).
thf(f27593,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_234
| ~ spl2_300 ),
inference(constrained_superposition,[],[f6394,f10413]) ).
thf(f27596,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_258
| ~ spl2_300 ),
inference(constrained_superposition,[],[f7258,f10413]) ).
thf(f27611,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_300
| spl2_307 ),
inference(constrained_superposition,[],[f18677,f10413]) ).
thf(f27615,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_300 ),
inference(constrained_superposition,[],[f1673,f10413]) ).
thf(f27712,plain,
( spl2_140
| ~ spl2_258
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f27596,f10412,f7257,f3614]) ).
thf(f27714,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_121
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f27615,f3321]) ).
thf(f27716,plain,
( spl2_78
| ~ spl2_197
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f27588,f10412,f5714,f2284]) ).
thf(f27717,plain,
( spl2_232
| ~ spl2_234
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f27593,f10412,f6393,f6288]) ).
thf(f27719,plain,
( ~ spl2_169
| ~ spl2_300
| spl2_307 ),
inference(avatar_split_clause,[],[f27611,f10720,f10412,f5313]) ).
thf(f27725,plain,
( spl2_169
| ~ spl2_173
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f27583,f10412,f5327,f5313]) ).
thf(f27727,plain,
( spl2_232
| spl2_121
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f27714,f10412,f3320,f6288]) ).
thf(f27729,plain,
( $false
| spl2_191
| ~ spl2_413 ),
inference(forward_subsumption_resolution,[],[f6694,f27244]) ).
thf(f27730,plain,
( spl2_191
| ~ spl2_413 ),
inference(avatar_contradiction_clause,[],[f27729]) ).
thf(f27795,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(constrained_superposition,[],[f632,f5739]) ).
thf(f27799,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f27,f5739]) ).
thf(f27803,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f27795]) ).
thf(f27804,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f27799]) ).
thf(f27809,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f430,f50]) ).
thf(f27810,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_38
| ~ spl2_40 ),
inference(constrained_superposition,[],[f430,f2064]) ).
thf(f27813,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f27810]) ).
thf(f27816,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f27809]) ).
thf(f27890,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_29
| ~ spl2_38 ),
inference(constrained_superposition,[],[f27816,f351]) ).
thf(f27898,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_29
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f27890]) ).
thf(f27938,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_208 ),
inference(constrained_superposition,[],[f27,f5753]) ).
thf(f27943,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f27938]) ).
thf(f27953,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_171
| ~ spl2_216 ),
inference(constrained_superposition,[],[f5855,f5321]) ).
thf(f27958,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_171
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f27953]) ).
thf(f27963,plain,
( $false
| ~ spl2_139
| ~ spl2_171
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f27958,f5793]) ).
thf(f27964,plain,
( ~ spl2_139
| ~ spl2_171
| ~ spl2_216 ),
inference(avatar_contradiction_clause,[],[f27963]) ).
thf(f27968,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_250 ),
inference(constrained_superposition,[],[f27,f11450]) ).
thf(f27971,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f27968]) ).
thf(f28006,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f27,f5318]) ).
thf(f28009,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f28006]) ).
thf(f28055,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_172
| ~ spl2_207 ),
inference(constrained_superposition,[],[f5750,f5325]) ).
thf(f28062,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_172
| ~ spl2_207 ),
inference(trivial_inequality_removal,[],[f28055]) ).
thf(f28066,plain,
( ~ spl2_305
| ~ spl2_172
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f28062,f5749,f5324,f10699]) ).
thf(f28076,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_110 ),
inference(constrained_superposition,[],[f430,f2965]) ).
thf(f28081,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f28076]) ).
thf(f28201,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_312
| ~ spl2_371 ),
inference(constrained_superposition,[],[f11318,f20310]) ).
thf(f28204,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_371 ),
inference(constrained_superposition,[],[f27,f20310]) ).
thf(f28206,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f28204]) ).
thf(f28212,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_312
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f28201]) ).
thf(f28296,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_140
| ~ spl2_329 ),
inference(constrained_superposition,[],[f13253,f3615]) ).
thf(f28304,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_140
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f28296]) ).
thf(f28355,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_254
| ~ spl2_351 ),
inference(constrained_superposition,[],[f17102,f7069]) ).
thf(f28360,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_254
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f28355]) ).
thf(f28368,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_149
| ~ spl2_254
| ~ spl2_351 ),
inference(forward_subsumption_resolution,[],[f28360,f4019]) ).
thf(f28371,plain,
( $false
| ~ spl2_29
| ~ spl2_149
| ~ spl2_254
| ~ spl2_351 ),
inference(forward_subsumption_resolution,[],[f28368,f351]) ).
thf(f28372,plain,
( ~ spl2_29
| ~ spl2_149
| ~ spl2_254
| ~ spl2_351 ),
inference(avatar_contradiction_clause,[],[f28371]) ).
thf(f28377,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_140
| ~ spl2_394 ),
inference(constrained_superposition,[],[f24945,f3615]) ).
thf(f28384,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_394 ),
inference(trivial_inequality_removal,[],[f28377]) ).
thf(f28390,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_371
| ~ spl2_376 ),
inference(constrained_superposition,[],[f20425,f20310]) ).
thf(f28397,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_371
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f28390]) ).
thf(f28400,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_254
| ~ spl2_371
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f28397,f7069]) ).
thf(f28403,plain,
( $false
| ~ spl2_254
| ~ spl2_258
| ~ spl2_371
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f28400,f7258]) ).
thf(f28404,plain,
( ~ spl2_254
| ~ spl2_258
| ~ spl2_371
| ~ spl2_376 ),
inference(avatar_contradiction_clause,[],[f28403]) ).
thf(f28415,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_373 ),
inference(constrained_superposition,[],[f20395,f188]) ).
thf(f28425,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_373 ),
inference(trivial_inequality_removal,[],[f28415]) ).
thf(f28434,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_373 ),
inference(forward_subsumption_resolution,[],[f28425,f385]) ).
thf(f28435,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| spl2_188
| ~ spl2_373 ),
inference(forward_subsumption_resolution,[],[f28434,f11313]) ).
thf(f28436,plain,
( ~ spl2_117
| ~ spl2_17
| spl2_188
| ~ spl2_373 ),
inference(avatar_split_clause,[],[f28435,f20394,f5498,f219,f3306]) ).
thf(f28493,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_170
| ~ spl2_336 ),
inference(constrained_superposition,[],[f13850,f5318]) ).
thf(f28494,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_208
| ~ spl2_336 ),
inference(constrained_superposition,[],[f13850,f5753]) ).
thf(f28502,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_170
| ~ spl2_336 ),
inference(trivial_inequality_removal,[],[f28493]) ).
thf(f28507,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_208
| ~ spl2_336 ),
inference(trivial_inequality_removal,[],[f28494]) ).
thf(f28511,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_254
| ~ spl2_402 ),
inference(constrained_superposition,[],[f26251,f7069]) ).
thf(f28518,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_254
| ~ spl2_402 ),
inference(trivial_inequality_removal,[],[f28511]) ).
thf(f28526,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_20
| ~ spl2_254
| ~ spl2_402 ),
inference(forward_subsumption_resolution,[],[f28518,f247]) ).
thf(f28528,plain,
( spl2_67
| ~ spl2_20
| ~ spl2_254
| ~ spl2_402 ),
inference(avatar_split_clause,[],[f28526,f26250,f7068,f246,f1228]) ).
thf(f28572,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_283
| ~ spl2_371 ),
inference(constrained_superposition,[],[f9410,f20310]) ).
thf(f28583,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_283
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f28572]) ).
thf(f28592,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_140
| ~ spl2_283
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f28583,f3615]) ).
thf(f28594,plain,
( spl2_378
| ~ spl2_140
| ~ spl2_283
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f28592,f20309,f9409,f3614,f20687]) ).
thf(f28642,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_140
| ~ spl2_250 ),
inference(constrained_superposition,[],[f27971,f3615]) ).
thf(f28653,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_140
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f28642]) ).
thf(f28655,plain,
( spl2_287
| ~ spl2_140
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f28653,f6719,f3614,f9510]) ).
thf(f28686,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_254
| ~ spl2_399 ),
inference(constrained_superposition,[],[f26223,f7069]) ).
thf(f28699,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_254
| ~ spl2_399 ),
inference(trivial_inequality_removal,[],[f28686]) ).
thf(f28703,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_20
| ~ spl2_254
| ~ spl2_399 ),
inference(forward_subsumption_resolution,[],[f28699,f247]) ).
thf(f28704,plain,
( spl2_376
| ~ spl2_20
| ~ spl2_254
| ~ spl2_399 ),
inference(avatar_split_clause,[],[f28703,f26222,f7068,f246,f20424]) ).
thf(f28705,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_140
| ~ spl2_204 ),
inference(constrained_superposition,[],[f27804,f3615]) ).
thf(f28715,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_140
| ~ spl2_204 ),
inference(duplicate_literal_removal,[],[f28705]) ).
thf(f28716,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_140
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f28715]) ).
thf(f28826,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_172
| ~ spl2_227 ),
inference(constrained_superposition,[],[f5978,f5325]) ).
thf(f28829,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ~ spl2_172
| ~ spl2_227 ),
inference(trivial_inequality_removal,[],[f28826]) ).
thf(f28836,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ~ spl2_172
| spl2_211
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f28829,f5794]) ).
thf(f28839,plain,
( $false
| ~ spl2_172
| spl2_211
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f28836,f41]) ).
thf(f28840,plain,
( ~ spl2_172
| spl2_211
| ~ spl2_227 ),
inference(avatar_contradiction_clause,[],[f28839]) ).
thf(f28875,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_5
| ~ spl2_38 ),
inference(constrained_superposition,[],[f27816,f93]) ).
thf(f28877,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) )
| ~ spl2_5
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f28875]) ).
thf(f29933,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_413 ),
inference(constrained_superposition,[],[f4261,f27244]) ).
thf(f29946,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_413 ),
inference(trivial_inequality_removal,[],[f29933]) ).
thf(f29995,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_413 ),
inference(constrained_superposition,[],[f29946,f1673]) ).
thf(f30001,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_413 ),
inference(trivial_inequality_removal,[],[f29995]) ).
thf(f31594,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_299 ),
inference(avatar_component_clause,[],[f10334]) ).
thf(f31617,definition,
( spl2_417
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_417])],[avatar_definition]) ).
thf(f31618,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_417 ),
inference(avatar_component_clause,[],[f31617]) ).
thf(f31620,definition,
( spl2_418
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_418])],[avatar_definition]) ).
thf(f31621,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_418 ),
inference(avatar_component_clause,[],[f31620]) ).
thf(f31624,definition,
( spl2_419
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_419])],[avatar_definition]) ).
thf(f31625,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_419 ),
inference(avatar_component_clause,[],[f31624]) ).
thf(f31627,definition,
( spl2_420
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_420])],[avatar_definition]) ).
thf(f31628,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_420 ),
inference(avatar_component_clause,[],[f31627]) ).
thf(f31642,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_182
| ~ spl2_418 ),
inference(constrained_superposition,[],[f5476,f31621]) ).
thf(f31669,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_182
| ~ spl2_418 ),
inference(trivial_inequality_removal,[],[f31642]) ).
thf(f31690,plain,
( $false
| ~ spl2_182
| ~ spl2_413
| ~ spl2_418 ),
inference(forward_subsumption_resolution,[],[f31669,f27244]) ).
thf(f31691,plain,
( ~ spl2_182
| ~ spl2_413
| ~ spl2_418 ),
inference(avatar_contradiction_clause,[],[f31690]) ).
thf(f31716,definition,
( spl2_425
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_425])],[avatar_definition]) ).
thf(f31760,definition,
( spl2_427
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_427])],[avatar_definition]) ).
thf(f31761,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_427 ),
inference(avatar_component_clause,[],[f31760]) ).
thf(f31762,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_425 ),
inference(avatar_component_clause,[],[f31716]) ).
thf(f31765,definition,
( spl2_428
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_428])],[avatar_definition]) ).
thf(f31766,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
!= $true )
| spl2_428 ),
inference(avatar_component_clause,[],[f31765]) ).
thf(f31769,definition,
( spl2_429
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_429])],[avatar_definition]) ).
thf(f31770,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| spl2_429 ),
inference(avatar_component_clause,[],[f31769]) ).
thf(f32114,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_17
| ~ spl2_413
| ~ spl2_419 ),
inference(constrained_superposition,[],[f29946,f31625]) ).
thf(f32140,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| ~ spl2_413
| ~ spl2_419 ),
inference(trivial_inequality_removal,[],[f32114]) ).
thf(f32160,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| ~ spl2_413
| ~ spl2_419
| spl2_425 ),
inference(forward_subsumption_resolution,[],[f32140,f31762]) ).
thf(f32172,plain,
( ~ spl2_176
| ~ spl2_17
| ~ spl2_413
| ~ spl2_419
| spl2_425 ),
inference(avatar_split_clause,[],[f32160,f31716,f31624,f27243,f219,f5374]) ).
thf(f33507,definition,
( spl2_442
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_442])],[avatar_definition]) ).
thf(f33508,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_442 ),
inference(avatar_component_clause,[],[f33507]) ).
thf(f33762,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_442 ),
inference(constrained_superposition,[],[f27,f33508]) ).
thf(f33770,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f33762]) ).
thf(f33824,definition,
( spl2_444
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_444])],[avatar_definition]) ).
thf(f33831,definition,
( spl2_445
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_445])],[avatar_definition]) ).
thf(f33832,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_445 ),
inference(avatar_component_clause,[],[f33831]) ).
thf(f34047,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_371
| ~ spl2_445 ),
inference(constrained_superposition,[],[f33832,f20310]) ).
thf(f34062,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_371
| ~ spl2_445 ),
inference(trivial_inequality_removal,[],[f34047]) ).
thf(f34111,definition,
( spl2_448
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_448])],[avatar_definition]) ).
thf(f34112,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_448 ),
inference(avatar_component_clause,[],[f34111]) ).
thf(f34118,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_173 ),
inference(avatar_component_clause,[],[f5327]) ).
thf(f34146,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_246
| ~ spl2_404 ),
inference(constrained_superposition,[],[f6698,f26269]) ).
thf(f34330,plain,
( $false
| spl2_244
| ~ spl2_246
| ~ spl2_404 ),
inference(forward_subsumption_resolution,[],[f34146,f12690]) ).
thf(f34331,plain,
( spl2_244
| ~ spl2_246
| ~ spl2_404 ),
inference(avatar_contradiction_clause,[],[f34330]) ).
thf(f34453,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_246
| ~ spl2_442 ),
inference(constrained_superposition,[],[f33770,f6698]) ).
thf(f34462,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_246
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f34453]) ).
thf(f34540,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_198
| ~ spl2_246
| ~ spl2_442 ),
inference(constrained_superposition,[],[f34462,f5718]) ).
thf(f34556,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_198
| ~ spl2_246
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f34540]) ).
thf(f34569,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_29
| ~ spl2_198
| ~ spl2_246
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f34556,f351]) ).
thf(f34570,plain,
( spl2_390
| ~ spl2_29
| ~ spl2_198
| ~ spl2_246
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f34569,f33507,f6697,f5717,f350,f23164]) ).
thf(f35796,definition,
( spl2_454
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_454])],[avatar_definition]) ).
thf(f35797,plain,
( ! [X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_454 ),
inference(avatar_component_clause,[],[f35796]) ).
thf(f35877,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_173
| ~ spl2_277 ),
inference(constrained_superposition,[],[f34118,f8936]) ).
thf(f35881,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_170
| ~ spl2_277 ),
inference(constrained_superposition,[],[f28009,f8936]) ).
thf(f35889,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_277
| ~ spl2_371 ),
inference(constrained_superposition,[],[f28206,f8936]) ).
thf(f35894,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_277 ),
inference(constrained_superposition,[],[f28081,f8936]) ).
thf(f35900,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f35894]) ).
thf(f35912,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_170
| ~ spl2_277 ),
inference(duplicate_literal_removal,[],[f35881]) ).
thf(f35913,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f35912]) ).
thf(f35917,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_173
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f35877]) ).
thf(f35927,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_277
| ~ spl2_371 ),
inference(duplicate_literal_removal,[],[f35889]) ).
thf(f35928,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_277
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f35927]) ).
thf(f35935,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| spl2_84
| ~ spl2_110
| ~ spl2_277 ),
inference(forward_subsumption_resolution,[],[f35900,f11201]) ).
thf(f35941,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| spl2_206
| ~ spl2_277 ),
inference(forward_subsumption_resolution,[],[f35913,f12453]) ).
thf(f35944,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_173
| spl2_206
| ~ spl2_277 ),
inference(forward_subsumption_resolution,[],[f35917,f12453]) ).
thf(f35948,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_180
| ~ spl2_277
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f35928,f5426]) ).
thf(f35951,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| spl2_83
| spl2_84
| ~ spl2_110
| ~ spl2_277 ),
inference(forward_subsumption_resolution,[],[f35935,f5264]) ).
thf(f35953,definition,
( spl2_455
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_455])],[avatar_definition]) ).
thf(f35954,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_455 ),
inference(avatar_component_clause,[],[f35953]) ).
thf(f35955,plain,
( spl2_212
| spl2_455
| spl2_404
| ~ spl2_170
| spl2_206
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f35941,f8935,f5745,f5317,f26268,f35953,f5767]) ).
thf(f35957,plain,
( spl2_404
| spl2_212
| spl2_173
| spl2_206
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f35944,f8935,f5745,f5327,f5767,f26268]) ).
thf(f35961,plain,
( spl2_356
| spl2_186
| spl2_455
| spl2_180
| ~ spl2_277
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f35948,f20309,f8935,f5425,f35953,f5491,f18375]) ).
thf(f35964,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| spl2_83
| spl2_84
| ~ spl2_110
| ~ spl2_250
| ~ spl2_277 ),
inference(forward_subsumption_resolution,[],[f35951,f11450]) ).
thf(f35967,plain,
( spl2_300
| ~ spl2_38
| spl2_83
| spl2_84
| ~ spl2_110
| ~ spl2_250
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f35964,f8935,f6719,f2964,f2310,f2307,f429,f10412]) ).
thf(f35987,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_184
| spl2_188 ),
inference(constrained_superposition,[],[f11313,f5485]) ).
thf(f35993,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_184 ),
inference(constrained_superposition,[],[f632,f5485]) ).
thf(f36087,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_184
| spl2_188 ),
inference(trivial_inequality_removal,[],[f35987]) ).
thf(f36091,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f35993]) ).
thf(f36109,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_184
| spl2_188 ),
inference(forward_subsumption_resolution,[],[f36087,f41]) ).
thf(f36110,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_44
| ~ spl2_184
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f36091,f10904]) ).
thf(f36113,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_184
| spl2_188
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f36109,f10904]) ).
thf(f36114,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_184
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f36110,f41]) ).
thf(f36116,plain,
( spl2_193
| ~ spl2_184
| spl2_188
| spl2_308 ),
inference(avatar_split_clause,[],[f36113,f10829,f5498,f5484,f5554]) ).
thf(f36118,definition,
( spl2_456
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_456])],[avatar_definition]) ).
thf(f36119,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_456 ),
inference(avatar_component_clause,[],[f36118]) ).
thf(f36120,plain,
( spl2_456
| spl2_193
| ~ spl2_44
| ~ spl2_184
| spl2_308 ),
inference(avatar_split_clause,[],[f36114,f10829,f5484,f631,f5554,f36118]) ).
thf(f36377,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| ~ spl2_120
| spl2_427 ),
inference(constrained_superposition,[],[f31761,f3317]) ).
thf(f36384,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_393 ),
inference(constrained_superposition,[],[f24911,f3317]) ).
thf(f36386,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_120
| ~ spl2_204 ),
inference(constrained_superposition,[],[f27803,f3317]) ).
thf(f36390,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_140
| ~ spl2_204 ),
inference(constrained_superposition,[],[f28716,f3317]) ).
thf(f36424,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_38
| ~ spl2_120 ),
inference(constrained_superposition,[],[f27816,f3317]) ).
thf(f36433,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f36424]) ).
thf(f36445,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_393 ),
inference(duplicate_literal_removal,[],[f36384]) ).
thf(f36446,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f36445]) ).
thf(f36451,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| ~ spl2_120
| spl2_427 ),
inference(trivial_inequality_removal,[],[f36377]) ).
thf(f36467,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_120
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f36386]) ).
thf(f36468,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_140
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f36390]) ).
thf(f36485,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_40
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f36433,f27813]) ).
thf(f36490,plain,
( $false
| ~ spl2_120
| spl2_427
| spl2_428 ),
inference(forward_subsumption_resolution,[],[f36451,f31766]) ).
thf(f36491,plain,
( ~ spl2_120
| spl2_427
| spl2_428 ),
inference(avatar_contradiction_clause,[],[f36490]) ).
thf(f36494,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_120
| ~ spl2_204
| spl2_244 ),
inference(forward_subsumption_resolution,[],[f36467,f12690]) ).
thf(f36515,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_120
| spl2_244
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f36446,f12690]) ).
thf(f36528,plain,
( ~ spl2_169
| ~ spl2_188
| ~ spl2_312
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f28212,f20309,f11317,f5498,f5313]) ).
thf(f36533,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_204
| ~ spl2_336 ),
inference(forward_subsumption_resolution,[],[f28502,f5739]) ).
thf(f36541,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
= $true )
| ~ spl2_428 ),
inference(avatar_component_clause,[],[f31765]) ).
thf(f36551,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_120
| ~ spl2_140
| ~ spl2_204
| spl2_244 ),
inference(forward_subsumption_resolution,[],[f36468,f12690]) ).
thf(f36557,plain,
( ~ spl2_77
| spl2_319
| ~ spl2_17
| ~ spl2_413 ),
inference(avatar_split_clause,[],[f30001,f27243,f219,f12192,f2281]) ).
thf(f36563,plain,
( ~ spl2_250
| ~ spl2_301
| ~ spl2_371
| ~ spl2_445 ),
inference(avatar_split_clause,[],[f34062,f33831,f20309,f10415,f6719]) ).
thf(f36568,definition,
( spl2_464
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_464])],[avatar_definition]) ).
thf(f36569,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_464 ),
inference(avatar_component_clause,[],[f36568]) ).
thf(f36573,definition,
( spl2_465
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_465])],[avatar_definition]) ).
thf(f36574,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ~ spl2_465 ),
inference(avatar_component_clause,[],[f36573]) ).
thf(f36575,plain,
( spl2_98
| spl2_465
| ~ spl2_38
| ~ spl2_40
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f36485,f3316,f512,f429,f36573,f2724]) ).
thf(f36576,plain,
( ~ spl2_92
| ~ spl2_44
| ~ spl2_120
| ~ spl2_204
| spl2_244 ),
inference(avatar_split_clause,[],[f36494,f6684,f5738,f3316,f631,f2448]) ).
thf(f36591,plain,
( ~ spl2_92
| ~ spl2_232
| ~ spl2_208
| ~ spl2_336 ),
inference(avatar_split_clause,[],[f28507,f13849,f5752,f6288,f2448]) ).
thf(f36608,definition,
( spl2_470
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_470])],[avatar_definition]) ).
thf(f36609,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) )
| ~ spl2_470 ),
inference(avatar_component_clause,[],[f36608]) ).
thf(f36612,definition,
( spl2_471
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_471])],[avatar_definition]) ).
thf(f36613,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_471 ),
inference(avatar_component_clause,[],[f36612]) ).
thf(f36614,plain,
( spl2_471
| ~ spl2_232
| ~ spl2_120
| spl2_244
| ~ spl2_393 ),
inference(avatar_split_clause,[],[f36515,f24910,f6684,f3316,f6288,f36612]) ).
thf(f36624,definition,
( spl2_473
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_473])],[avatar_definition]) ).
thf(f36625,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_473 ),
inference(avatar_component_clause,[],[f36624]) ).
thf(f36626,plain,
( ~ spl2_178
| spl2_473
| ~ spl2_120
| ~ spl2_140
| ~ spl2_204
| spl2_244 ),
inference(avatar_split_clause,[],[f36551,f6684,f5738,f3614,f3316,f36624,f5381]) ).
thf(f36632,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_168 ),
inference(avatar_component_clause,[],[f5310]) ).
thf(f36640,definition,
( spl2_475
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_475])],[avatar_definition]) ).
thf(f36641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_475 ),
inference(avatar_component_clause,[],[f36640]) ).
thf(f36647,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_427 ),
inference(avatar_component_clause,[],[f31760]) ).
thf(f36650,definition,
( spl2_476
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_476])],[avatar_definition]) ).
thf(f36651,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_476 ),
inference(avatar_component_clause,[],[f36650]) ).
thf(f36656,definition,
( spl2_477
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_477])],[avatar_definition]) ).
thf(f36657,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_477 ),
inference(avatar_component_clause,[],[f36656]) ).
thf(f36727,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_97 ),
inference(constrained_superposition,[],[f2543,f187]) ).
thf(f36730,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_97 ),
inference(trivial_inequality_removal,[],[f36727]) ).
thf(f36735,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f36730,f41]) ).
thf(f36739,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_31
| ~ spl2_97 ),
inference(forward_subsumption_resolution,[],[f36735,f380]) ).
thf(f36740,plain,
( spl2_178
| spl2_31
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f36739,f2542,f379,f5381]) ).
thf(f36884,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_188 ),
inference(constrained_superposition,[],[f632,f5499]) ).
thf(f36895,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f36884]) ).
thf(f36901,plain,
( spl2_456
| ~ spl2_44
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f36895,f5498,f631,f36118]) ).
thf(f36918,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_120
| ~ spl2_170
| ~ spl2_204
| ~ spl2_336 ),
inference(constrained_superposition,[],[f36533,f3317]) ).
thf(f36921,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_170
| ~ spl2_204
| ~ spl2_336 ),
inference(trivial_inequality_removal,[],[f36918]) ).
thf(f36923,plain,
( $false
| ~ spl2_120
| ~ spl2_170
| ~ spl2_204
| spl2_244
| ~ spl2_336 ),
inference(forward_subsumption_resolution,[],[f36921,f12690]) ).
thf(f36924,plain,
( ~ spl2_120
| ~ spl2_170
| ~ spl2_204
| spl2_244
| ~ spl2_336 ),
inference(avatar_contradiction_clause,[],[f36923]) ).
thf(f36925,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_477 ),
inference(constrained_superposition,[],[f36657,f187]) ).
thf(f36930,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_477 ),
inference(trivial_inequality_removal,[],[f36925]) ).
thf(f36938,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_390 ),
inference(constrained_superposition,[],[f23165,f5314]) ).
thf(f36944,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f36938]) ).
thf(f36949,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_169
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f36944,f2532]) ).
thf(f36950,plain,
( $false
| ~ spl2_94
| ~ spl2_169
| ~ spl2_178
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f36949,f5382]) ).
thf(f36951,plain,
( ~ spl2_94
| ~ spl2_169
| ~ spl2_178
| ~ spl2_390 ),
inference(avatar_contradiction_clause,[],[f36950]) ).
thf(f36997,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_208
| ~ spl2_473 ),
inference(constrained_superposition,[],[f36625,f5753]) ).
thf(f37005,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_208
| ~ spl2_473 ),
inference(trivial_inequality_removal,[],[f36997]) ).
thf(f37008,plain,
( $false
| ~ spl2_198
| ~ spl2_208
| ~ spl2_473 ),
inference(forward_subsumption_resolution,[],[f37005,f5718]) ).
thf(f37009,plain,
( ~ spl2_198
| ~ spl2_208
| ~ spl2_473 ),
inference(avatar_contradiction_clause,[],[f37008]) ).
thf(f37043,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_307 ),
inference(constrained_superposition,[],[f28009,f10721]) ).
thf(f37044,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_208
| ~ spl2_307 ),
inference(constrained_superposition,[],[f27943,f10721]) ).
thf(f37049,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f37043]) ).
thf(f37056,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_208
| ~ spl2_307 ),
inference(duplicate_literal_removal,[],[f37044]) ).
thf(f37057,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_208
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f37056]) ).
thf(f37061,plain,
( spl2_393
| ~ spl2_170
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f37049,f10720,f5317,f24910]) ).
thf(f37062,plain,
( spl2_363
| ~ spl2_208
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f37057,f10720,f5752,f19269]) ).
thf(f37094,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_171
| ~ spl2_304 ),
inference(constrained_superposition,[],[f10697,f5321]) ).
thf(f37129,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_171
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f37094]) ).
thf(f37139,plain,
( ~ spl2_209
| ~ spl2_171
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f37129,f10696,f5320,f5755]) ).
thf(f37144,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_173
| ~ spl2_204 ),
inference(constrained_superposition,[],[f27803,f5328]) ).
thf(f37150,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_173
| ~ spl2_208 ),
inference(constrained_superposition,[],[f27943,f5328]) ).
thf(f37162,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_173
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f37150]) ).
thf(f37168,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_173
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f37144]) ).
thf(f37170,plain,
( spl2_393
| ~ spl2_173
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f37162,f5752,f5327,f24910]) ).
thf(f37171,plain,
( $false
| ~ spl2_44
| ~ spl2_173
| ~ spl2_194
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f37168,f5705]) ).
thf(f37172,plain,
( ~ spl2_44
| ~ spl2_173
| ~ spl2_194
| ~ spl2_204 ),
inference(avatar_contradiction_clause,[],[f37171]) ).
thf(f37179,plain,
( ~ spl2_31
| ~ spl2_178
| ~ spl2_140
| ~ spl2_394 ),
inference(avatar_split_clause,[],[f28384,f24944,f3614,f5381,f379]) ).
thf(f37185,definition,
( spl2_480
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_480])],[avatar_definition]) ).
thf(f37186,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_480 ),
inference(avatar_component_clause,[],[f37185]) ).
thf(f37190,definition,
( spl2_481
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_481])],[avatar_definition]) ).
thf(f37191,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_481 ),
inference(avatar_component_clause,[],[f37190]) ).
thf(f37192,plain,
( spl2_4
| spl2_481
| ~ spl2_5
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f28877,f429,f92,f37190,f89]) ).
thf(f37194,plain,
( ~ spl2_31
| spl2_4
| ~ spl2_29
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f27898,f429,f350,f89,f379]) ).
thf(f37197,plain,
( ~ spl2_31
| ~ spl2_20
| ~ spl2_140
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f28304,f13252,f3614,f246,f379]) ).
thf(f37348,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_206
| ~ spl2_208 ),
inference(constrained_superposition,[],[f27943,f5746]) ).
thf(f37359,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_206
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f37348]) ).
thf(f37360,plain,
( spl2_288
| ~ spl2_206
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f37359,f5752,f5745,f9733]) ).
thf(f37461,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_189 ),
inference(constrained_superposition,[],[f5503,f187]) ).
thf(f37463,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_189 ),
inference(constrained_superposition,[],[f5503,f1673]) ).
thf(f37465,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_189 ),
inference(trivial_inequality_removal,[],[f37463]) ).
thf(f37470,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_189 ),
inference(trivial_inequality_removal,[],[f37461]) ).
thf(f37503,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_170
| ~ spl2_312 ),
inference(constrained_superposition,[],[f11318,f5318]) ).
thf(f37511,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_170
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f37503]) ).
thf(f37638,definition,
( spl2_484
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_484])],[avatar_definition]) ).
thf(f37639,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_484 ),
inference(avatar_component_clause,[],[f37638]) ).
thf(f37660,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_484 ),
inference(constrained_superposition,[],[f37639,f185]) ).
thf(f37667,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_484 ),
inference(trivial_inequality_removal,[],[f37660]) ).
thf(f37671,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_484 ),
inference(forward_subsumption_resolution,[],[f37667,f41]) ).
thf(f37677,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_444 ),
inference(avatar_component_clause,[],[f33824]) ).
thf(f37681,plain,
( spl2_444
| spl2_484 ),
inference(avatar_split_clause,[],[f37671,f37638,f33824]) ).
thf(f37899,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_317 ),
inference(constrained_superposition,[],[f11449,f188]) ).
thf(f37901,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_317 ),
inference(constrained_superposition,[],[f11449,f77]) ).
thf(f37910,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f37901]) ).
thf(f37911,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f37899]) ).
thf(f38161,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_206
| ~ spl2_246 ),
inference(constrained_superposition,[],[f27290,f5746]) ).
thf(f38165,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_206
| ~ spl2_246 ),
inference(duplicate_literal_removal,[],[f38161]) ).
thf(f38166,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_206
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f38165]) ).
thf(f38172,plain,
( spl2_47
| ~ spl2_206
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f38166,f6697,f5745,f691]) ).
thf(f38175,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_17
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f37911,f385]) ).
thf(f38177,plain,
( spl2_258
| ~ spl2_14
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f37470,f5502,f209,f7257]) ).
thf(f38182,plain,
( ~ spl2_335
| ~ spl2_4
| spl2_206
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f37910,f11448,f5745,f89,f13845]) ).
thf(f38183,plain,
( ~ spl2_75
| spl2_255
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f37465,f5502,f7072,f2273]) ).
thf(f38187,definition,
( spl2_486
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_486])],[avatar_definition]) ).
thf(f38188,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_486 ),
inference(avatar_component_clause,[],[f38187]) ).
thf(f38198,plain,
( spl2_258
| spl2_477 ),
inference(avatar_split_clause,[],[f36930,f36656,f7257]) ).
thf(f38200,plain,
( ~ spl2_194
| ~ spl2_307
| ~ spl2_170
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f37511,f11317,f5317,f10720,f5704]) ).
thf(f38210,plain,
( spl2_194
| ~ spl2_333
| ~ spl2_17
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f38175,f11448,f219,f13826,f5704]) ).
thf(f38217,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_38
| ~ spl2_40 ),
inference(constrained_superposition,[],[f430,f2064]) ).
thf(f38219,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_40 ),
inference(constrained_superposition,[],[f27,f2064]) ).
thf(f38220,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f38219]) ).
thf(f38222,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f38217]) ).
thf(f38260,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_40
| ~ spl2_428 ),
inference(constrained_superposition,[],[f38222,f36541]) ).
thf(f38266,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_40
| ~ spl2_428 ),
inference(trivial_inequality_removal,[],[f38260]) ).
thf(f38270,plain,
( ~ spl2_429
| ~ spl2_38
| ~ spl2_40
| ~ spl2_428 ),
inference(avatar_split_clause,[],[f38266,f31765,f512,f429,f31769]) ).
thf(f38311,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_288 ),
inference(constrained_superposition,[],[f9734,f5382]) ).
thf(f38323,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_178
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f38311]) ).
thf(f38331,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_178
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f38323,f247]) ).
thf(f38332,plain,
( spl2_341
| ~ spl2_20
| ~ spl2_178
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f38331,f9733,f5381,f246,f14012]) ).
thf(f38458,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
= $true )
| spl2_429 ),
inference(constrained_superposition,[],[f31770,f50]) ).
thf(f38461,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
= $true )
| spl2_429 ),
inference(trivial_inequality_removal,[],[f38458]) ).
thf(f38496,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_255
| ~ spl2_456 ),
inference(constrained_superposition,[],[f36119,f7073]) ).
thf(f38506,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_255
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f38496]) ).
thf(f38512,plain,
( $false
| ~ spl2_92
| ~ spl2_255
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f38506,f2449]) ).
thf(f38513,plain,
( ~ spl2_92
| ~ spl2_255
| ~ spl2_456 ),
inference(avatar_contradiction_clause,[],[f38512]) ).
thf(f38515,definition,
( spl2_488
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_488])],[avatar_definition]) ).
thf(f38516,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_488 ),
inference(avatar_component_clause,[],[f38515]) ).
thf(f38527,plain,
( spl2_488
| spl2_429 ),
inference(avatar_split_clause,[],[f38461,f31769,f38515]) ).
thf(f38654,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_234 ),
inference(constrained_superposition,[],[f27803,f6394]) ).
thf(f38664,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f38654]) ).
thf(f38674,plain,
( $false
| ~ spl2_44
| ~ spl2_92
| ~ spl2_204
| ~ spl2_234 ),
inference(forward_subsumption_resolution,[],[f38664,f2449]) ).
thf(f38675,plain,
( ~ spl2_44
| ~ spl2_92
| ~ spl2_204
| ~ spl2_234 ),
inference(avatar_contradiction_clause,[],[f38674]) ).
thf(f38784,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_464 ),
inference(constrained_superposition,[],[f36569,f76]) ).
thf(f38785,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_464 ),
inference(constrained_superposition,[],[f36569,f52]) ).
thf(f38787,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_464 ),
inference(trivial_inequality_removal,[],[f38785]) ).
thf(f38788,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_464 ),
inference(trivial_inequality_removal,[],[f38784]) ).
thf(f38790,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_464 ),
inference(forward_subsumption_resolution,[],[f38787,f41]) ).
thf(f38791,plain,
( $false
| spl2_254
| spl2_464 ),
inference(forward_subsumption_resolution,[],[f38788,f7902]) ).
thf(f38792,plain,
( spl2_254
| spl2_464 ),
inference(avatar_contradiction_clause,[],[f38791]) ).
thf(f38794,plain,
( $false
| spl2_254
| spl2_464 ),
inference(forward_subsumption_resolution,[],[f38790,f7902]) ).
thf(f38795,plain,
( spl2_254
| spl2_464 ),
inference(avatar_contradiction_clause,[],[f38794]) ).
thf(f38924,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_234
| ~ spl2_353 ),
inference(constrained_superposition,[],[f17772,f6394]) ).
thf(f38932,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_234
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f38924]) ).
thf(f38933,plain,
( $false
| ~ spl2_234
| ~ spl2_244
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f38932,f6685]) ).
thf(f38934,plain,
( ~ spl2_234
| ~ spl2_244
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f38933]) ).
thf(f39009,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_476 ),
inference(constrained_superposition,[],[f36651,f1673]) ).
thf(f39011,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_476 ),
inference(constrained_superposition,[],[f36651,f78]) ).
thf(f39016,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_476 ),
inference(trivial_inequality_removal,[],[f39011]) ).
thf(f39018,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_476 ),
inference(trivial_inequality_removal,[],[f39009]) ).
thf(f39021,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_83
| spl2_476 ),
inference(forward_subsumption_resolution,[],[f39016,f5264]) ).
thf(f39023,plain,
( spl2_255
| spl2_476 ),
inference(avatar_split_clause,[],[f39018,f36650,f7072]) ).
thf(f39025,plain,
( spl2_255
| spl2_83
| spl2_476 ),
inference(avatar_split_clause,[],[f39021,f36650,f2307,f7072]) ).
thf(f39490,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_208 ),
inference(constrained_superposition,[],[f27816,f5753]) ).
thf(f39494,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f39490]) ).
thf(f39515,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_178
| ~ spl2_363 ),
inference(constrained_superposition,[],[f19270,f5382]) ).
thf(f39517,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_301
| ~ spl2_363 ),
inference(constrained_superposition,[],[f19270,f10416]) ).
thf(f39530,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_301
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f39517]) ).
thf(f39534,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_178
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f39515]) ).
thf(f39535,plain,
( spl2_471
| ~ spl2_301
| ~ spl2_363 ),
inference(avatar_split_clause,[],[f39530,f19269,f10415,f36612]) ).
thf(f39536,plain,
( spl2_346
| ~ spl2_178
| ~ spl2_363 ),
inference(avatar_split_clause,[],[f39534,f19269,f5381,f16859]) ).
thf(f39540,plain,
( ~ spl2_211
| spl2_98
| ~ spl2_38
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f39494,f5752,f429,f2724,f5763]) ).
thf(f39559,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) )
| ~ spl2_465 ),
inference(constrained_superposition,[],[f36574,f50]) ).
thf(f39562,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ~ spl2_465 ),
inference(trivial_inequality_removal,[],[f39559]) ).
thf(f39564,plain,
( spl2_413
| ~ spl2_465 ),
inference(avatar_split_clause,[],[f39562,f36573,f27243]) ).
thf(f39930,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_83 ),
inference(constrained_superposition,[],[f49,f2308]) ).
thf(f40049,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f40078,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f275,f76]) ).
thf(f40083,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f40078]) ).
thf(f40087,plain,
( spl2_29
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f40083,f274,f350]) ).
thf(f40103,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f28,f40049]) ).
thf(f40115,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10 ),
inference(duplicate_literal_removal,[],[f40103]) ).
thf(f40116,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f40115]) ).
thf(f40120,plain,
( spl2_291
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f40116,f123,f9898]) ).
thf(f40140,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_83 ),
inference(equality_resolution,[],[f39930]) ).
thf(f40142,plain,
( $false
| ~ spl2_83 ),
inference(forward_subsumption_resolution,[],[f40140,f41]) ).
thf(f40143,plain,
~ spl2_83,
inference(avatar_contradiction_clause,[],[f40142]) ).
thf(f40144,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_83 ),
inference(extensionality_resolution,[],[f185,f5264]) ).
thf(f40145,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_83 ),
inference(extensionality_resolution,[],[f185,f5264]) ).
thf(f40149,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_83 ),
inference(extensionality_resolution,[],[f78,f5264]) ).
thf(f40154,plain,
( spl2_169
| spl2_168
| spl2_83 ),
inference(avatar_split_clause,[],[f40149,f2307,f5310,f5313]) ).
thf(f40155,plain,
( spl2_171
| spl2_170
| spl2_83 ),
inference(avatar_split_clause,[],[f40144,f2307,f5317,f5320]) ).
thf(f40156,plain,
( spl2_172
| spl2_173
| spl2_83 ),
inference(avatar_split_clause,[],[f40145,f2307,f5327,f5324]) ).
thf(f40173,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f28,f848]) ).
thf(f40182,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f40173]) ).
thf(f40201,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_139
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5793,f10335]) ).
thf(f40203,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_246
| ~ spl2_299 ),
inference(constrained_superposition,[],[f6698,f10335]) ).
thf(f40214,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_299 ),
inference(constrained_superposition,[],[f188,f10335]) ).
thf(f40293,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_22
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f40214,f272]) ).
thf(f40296,plain,
( spl2_244
| ~ spl2_246
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f40203,f10334,f6697,f6684]) ).
thf(f40304,plain,
( $false
| spl2_17
| ~ spl2_139
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f40201,f220]) ).
thf(f40305,plain,
( spl2_17
| ~ spl2_139
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f40304]) ).
thf(f40306,plain,
( spl2_68
| spl2_22
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f40293,f10334,f271,f1231]) ).
thf(f40335,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_299 ),
inference(extensionality_resolution,[],[f52,f31594]) ).
thf(f40339,plain,
( spl2_168
| spl2_169
| spl2_299 ),
inference(avatar_split_clause,[],[f40335,f10334,f5313,f5310]) ).
thf(f40496,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_202
| ~ spl2_215 ),
inference(constrained_superposition,[],[f5809,f5732]) ).
thf(f40501,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_202
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f40496]) ).
thf(f40505,plain,
( $false
| ~ spl2_149
| ~ spl2_202
| ~ spl2_215 ),
inference(forward_subsumption_resolution,[],[f40501,f4019]) ).
thf(f40506,plain,
( ~ spl2_149
| ~ spl2_202
| ~ spl2_215 ),
inference(avatar_contradiction_clause,[],[f40505]) ).
thf(f40571,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f9899,f77]) ).
thf(f40572,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f40571]) ).
thf(f40618,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_65
| ~ spl2_68 ),
inference(constrained_superposition,[],[f1179,f8280]) ).
thf(f40627,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_65
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f40618]) ).
thf(f40630,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_65
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f40627,f351]) ).
thf(f40633,plain,
( $false
| ~ spl2_29
| ~ spl2_65
| ~ spl2_68
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f40630,f10830]) ).
thf(f40634,plain,
( ~ spl2_29
| ~ spl2_65
| ~ spl2_68
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f40633]) ).
thf(f40721,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_54
| ~ spl2_471 ),
inference(constrained_superposition,[],[f36613,f821]) ).
thf(f40725,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_54
| ~ spl2_471 ),
inference(trivial_inequality_removal,[],[f40721]) ).
thf(f40733,plain,
( $false
| ~ spl2_54
| ~ spl2_471 ),
inference(forward_subsumption_resolution,[],[f40725,f821]) ).
thf(f40734,plain,
( ~ spl2_54
| ~ spl2_471 ),
inference(avatar_contradiction_clause,[],[f40733]) ).
thf(f40760,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_171
| ~ spl2_217 ),
inference(constrained_superposition,[],[f5859,f5321]) ).
thf(f40765,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_171
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f40760]) ).
thf(f40770,plain,
( ~ spl2_195
| ~ spl2_171
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f40765,f5858,f5320,f5707]) ).
thf(f40779,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_33
| ~ spl2_92 ),
inference(constrained_superposition,[],[f389,f2449]) ).
thf(f40782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_29
| ~ spl2_33 ),
inference(constrained_superposition,[],[f389,f351]) ).
thf(f40786,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_33
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f40779]) ).
thf(f40787,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_29
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f40782]) ).
thf(f40793,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_33
| ~ spl2_54
| ~ spl2_92 ),
inference(forward_subsumption_resolution,[],[f40786,f821]) ).
thf(f40794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_29
| ~ spl2_33
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f40787,f4019]) ).
thf(f40797,plain,
( spl2_237
| ~ spl2_33
| ~ spl2_54
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f40793,f2448,f820,f388,f6483]) ).
thf(f40798,plain,
( spl2_90
| ~ spl2_29
| ~ spl2_33
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f40794,f4018,f388,f350,f2338]) ).
thf(f40956,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_194
| ~ spl2_225 ),
inference(constrained_superposition,[],[f5934,f5705]) ).
thf(f40963,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_194
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f40956]) ).
thf(f40965,plain,
( $false
| ~ spl2_194
| ~ spl2_225
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f40963,f10830]) ).
thf(f40966,plain,
( ~ spl2_194
| ~ spl2_225
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f40965]) ).
thf(f40998,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_139
| ~ spl2_172 ),
inference(constrained_superposition,[],[f14466,f5325]) ).
thf(f41014,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f40998]) ).
thf(f41027,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_55
| ~ spl2_139
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f41014,f848]) ).
thf(f41032,plain,
( spl2_196
| ~ spl2_55
| ~ spl2_139
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f41027,f5324,f3611,f847,f5710]) ).
thf(f41056,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_44
| ~ spl2_308 ),
inference(constrained_superposition,[],[f632,f10830]) ).
thf(f41061,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_44
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f41056]) ).
thf(f41062,plain,
( spl2_161
| ~ spl2_44
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f41061,f10829,f631,f4158]) ).
thf(f41157,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_181
| ~ spl2_264 ),
inference(constrained_superposition,[],[f7905,f9399]) ).
thf(f41161,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_181
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f41157]) ).
thf(f41162,plain,
( $false
| ~ spl2_40
| ~ spl2_181
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f41161,f2064]) ).
thf(f41163,plain,
( ~ spl2_40
| ~ spl2_181
| ~ spl2_264 ),
inference(avatar_contradiction_clause,[],[f41162]) ).
thf(f41224,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_233 ),
inference(constrained_superposition,[],[f6292,f76]) ).
thf(f41231,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f41224]) ).
thf(f41235,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_94
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f41231,f17773]) ).
thf(f41269,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f40572,f188]) ).
thf(f41272,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_172
| ~ spl2_291 ),
inference(constrained_superposition,[],[f40572,f5325]) ).
thf(f41276,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_291 ),
inference(constrained_superposition,[],[f40572,f5793]) ).
thf(f41277,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_203
| ~ spl2_291 ),
inference(constrained_superposition,[],[f40572,f5800]) ).
thf(f41279,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_98
| ~ spl2_291 ),
inference(constrained_superposition,[],[f40572,f2725]) ).
thf(f41283,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_172
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f41272]) ).
thf(f41291,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f41269]) ).
thf(f41292,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_98
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f41279]) ).
thf(f41293,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f41276]) ).
thf(f41296,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_203
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f41277]) ).
thf(f41300,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_172
| spl2_206
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f41283,f12453]) ).
thf(f41302,plain,
( spl2_145
| ~ spl2_14
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f41291,f9898,f209,f3911]) ).
thf(f41303,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_84
| ~ spl2_98
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f41292,f11201]) ).
thf(f41304,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| spl2_202
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f41293,f9495]) ).
thf(f41307,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_203
| spl2_206
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f41296,f12453]) ).
thf(f41310,plain,
( ~ spl2_141
| ~ spl2_172
| spl2_206
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f41300,f9898,f5745,f5324,f3617]) ).
thf(f41312,plain,
( ~ spl2_7
| spl2_84
| ~ spl2_98
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f41303,f9898,f2724,f2310,f113]) ).
thf(f41313,plain,
( ~ spl2_7
| ~ spl2_139
| spl2_202
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f41304,f9898,f5731,f3611,f113]) ).
thf(f41315,plain,
( ~ spl2_7
| ~ spl2_203
| spl2_206
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f41307,f9898,f5745,f5734,f113]) ).
thf(f41332,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_234
| ~ spl2_455 ),
inference(constrained_superposition,[],[f35954,f6394]) ).
thf(f41344,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_234
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f41332]) ).
thf(f41348,plain,
( spl2_471
| ~ spl2_234
| ~ spl2_455 ),
inference(avatar_split_clause,[],[f41344,f35953,f6393,f36612]) ).
thf(f41384,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f40182,f1673]) ).
thf(f41388,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f41384]) ).
thf(f41397,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f41388,f848]) ).
thf(f41399,plain,
( spl2_470
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f41397,f847,f36608]) ).
thf(f41463,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_40
| ~ spl2_149 ),
inference(constrained_superposition,[],[f10846,f2064]) ).
thf(f41464,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f10846,f50]) ).
thf(f41470,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_40
| ~ spl2_149 ),
inference(duplicate_literal_removal,[],[f41463]) ).
thf(f41471,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_40
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f41470]) ).
thf(f41475,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_149 ),
inference(duplicate_literal_removal,[],[f41464]) ).
thf(f41476,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f41475]) ).
thf(f41479,plain,
( spl2_38
| ~ spl2_40
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f41471,f4018,f512,f429]) ).
thf(f41480,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| spl2_4
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f41476,f90]) ).
thf(f41481,plain,
( spl2_38
| spl2_4
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f41480,f4018,f89,f429]) ).
thf(f41483,plain,
( ( $true != $true )
| ~ spl2_32
| ~ spl2_181 ),
inference(constrained_superposition,[],[f384,f9399]) ).
thf(f41487,plain,
( $false
| ~ spl2_32
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f41483]) ).
thf(f41488,plain,
( ~ spl2_32
| ~ spl2_181 ),
inference(avatar_contradiction_clause,[],[f41487]) ).
thf(f41493,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f430,f50]) ).
thf(f41497,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f41493]) ).
thf(f41546,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_178 ),
inference(constrained_superposition,[],[f41497,f5382]) ).
thf(f41574,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f41546]) ).
thf(f41770,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_170
| ~ spl2_369 ),
inference(constrained_superposition,[],[f20215,f5318]) ).
thf(f41782,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_369 ),
inference(duplicate_literal_removal,[],[f41770]) ).
thf(f41783,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_170
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f41782]) ).
thf(f41787,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_170
| ~ spl2_244
| ~ spl2_369 ),
inference(forward_subsumption_resolution,[],[f41783,f6685]) ).
thf(f41791,plain,
( spl2_364
| ~ spl2_170
| ~ spl2_244
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f41787,f20214,f6684,f5317,f19408]) ).
thf(f41948,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_94
| ~ spl2_168
| ~ spl2_233 ),
inference(constrained_superposition,[],[f41235,f5311]) ).
thf(f41952,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_55
| ~ spl2_168 ),
inference(constrained_superposition,[],[f40182,f5311]) ).
thf(f41969,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_55
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f41952]) ).
thf(f41970,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_94
| ~ spl2_168
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f41948]) ).
thf(f41980,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_55
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f41969,f848]) ).
thf(f41981,plain,
( ~ spl2_464
| spl2_94
| ~ spl2_168
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f41970,f6291,f5310,f2531,f36568]) ).
thf(f41987,plain,
( spl2_177
| ~ spl2_55
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f41980,f5310,f847,f5377]) ).
thf(f42306,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_177
| ~ spl2_418 ),
inference(constrained_superposition,[],[f5378,f31621]) ).
thf(f42336,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_177
| ~ spl2_418 ),
inference(trivial_inequality_removal,[],[f42306]) ).
thf(f42342,plain,
( ~ spl2_484
| ~ spl2_177
| ~ spl2_418 ),
inference(avatar_split_clause,[],[f42336,f31620,f5377,f37638]) ).
thf(f42356,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_420 ),
inference(constrained_superposition,[],[f27,f31628]) ).
thf(f42362,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_420 ),
inference(trivial_inequality_removal,[],[f42356]) ).
thf(f42365,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_40
| ~ spl2_149 ),
inference(constrained_superposition,[],[f38220,f4019]) ).
thf(f42372,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_40
| ~ spl2_149 ),
inference(duplicate_literal_removal,[],[f42365]) ).
thf(f42373,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_40
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f42372]) ).
thf(f42376,definition,
( spl2_503
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_503])],[avatar_definition]) ).
thf(f42377,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_503 ),
inference(avatar_component_clause,[],[f42376]) ).
thf(f42379,plain,
( spl2_503
| ~ spl2_40
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f42373,f4018,f512,f42376]) ).
thf(f42533,definition,
( spl2_505
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_505])],[avatar_definition]) ).
thf(f42534,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_505 ),
inference(avatar_component_clause,[],[f42533]) ).
thf(f42831,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_417
| ~ spl2_420 ),
inference(constrained_superposition,[],[f42362,f31618]) ).
thf(f42835,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_417
| ~ spl2_420 ),
inference(duplicate_literal_removal,[],[f42831]) ).
thf(f42836,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_417
| ~ spl2_420 ),
inference(trivial_inequality_removal,[],[f42835]) ).
thf(f42846,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_258
| ~ spl2_417
| ~ spl2_420 ),
inference(constrained_superposition,[],[f42836,f7258]) ).
thf(f42856,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_258
| ~ spl2_417
| ~ spl2_420 ),
inference(trivial_inequality_removal,[],[f42846]) ).
thf(f42866,plain,
( spl2_456
| ~ spl2_258
| ~ spl2_417
| ~ spl2_420 ),
inference(avatar_split_clause,[],[f42856,f31627,f31617,f7257,f36118]) ).
thf(f42932,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_246 ),
inference(constrained_superposition,[],[f41497,f6698]) ).
thf(f42942,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f42932]) ).
thf(f43104,plain,
( spl2_17
| ~ spl2_110
| ~ spl2_38
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f41574,f5381,f429,f2964,f219]) ).
thf(f43112,plain,
( spl2_4
| ~ spl2_211
| ~ spl2_38
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f42942,f6697,f429,f5763,f89]) ).
thf(f43125,definition,
( spl2_513
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_513])],[avatar_definition]) ).
thf(f43126,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_513 ),
inference(avatar_component_clause,[],[f43125]) ).
thf(f43229,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_250 ),
inference(constrained_superposition,[],[f430,f11450]) ).
thf(f43234,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f43229]) ).
thf(f43251,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_92
| ~ spl2_152 ),
inference(constrained_superposition,[],[f4032,f2449]) ).
thf(f43252,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_92
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4159,f2449]) ).
thf(f43258,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_92
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f43251]) ).
thf(f43263,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_92
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f43252]) ).
thf(f43264,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_92
| ~ spl2_110
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f43258,f2965]) ).
thf(f43265,plain,
( $false
| ~ spl2_92
| ~ spl2_110
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f43263,f2965]) ).
thf(f43266,plain,
( ~ spl2_92
| ~ spl2_110
| ~ spl2_161 ),
inference(avatar_contradiction_clause,[],[f43265]) ).
thf(f43267,plain,
( $false
| ~ spl2_84
| ~ spl2_92
| ~ spl2_110
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f43264,f2311]) ).
thf(f43268,plain,
( ~ spl2_84
| ~ spl2_92
| ~ spl2_110
| ~ spl2_152 ),
inference(avatar_contradiction_clause,[],[f43267]) ).
thf(f43347,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_92
| ~ spl2_104 ),
inference(constrained_superposition,[],[f2756,f2449]) ).
thf(f43353,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_92
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f43347]) ).
thf(f43356,plain,
( $false
| ~ spl2_84
| ~ spl2_92
| ~ spl2_104 ),
inference(forward_subsumption_resolution,[],[f43353,f2311]) ).
thf(f43357,plain,
( ~ spl2_84
| ~ spl2_92
| ~ spl2_104 ),
inference(avatar_contradiction_clause,[],[f43356]) ).
thf(f43444,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_130 ),
inference(constrained_superposition,[],[f3396,f29]) ).
thf(f43451,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f43444]) ).
thf(f43460,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_67
| ~ spl2_178 ),
inference(constrained_superposition,[],[f1229,f5382]) ).
thf(f43466,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_67
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f43460]) ).
thf(f43470,plain,
( $false
| ~ spl2_67
| ~ spl2_94
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f43466,f2532]) ).
thf(f43471,plain,
( ~ spl2_67
| ~ spl2_94
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f43470]) ).
thf(f43493,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f3311,f187]) ).
thf(f43497,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f43493]) ).
thf(f43510,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f2801,f29]) ).
thf(f43516,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f43510]) ).
thf(f43590,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_208
| ~ spl2_286 ),
inference(constrained_superposition,[],[f9506,f5753]) ).
thf(f43595,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_208 ),
inference(constrained_superposition,[],[f27,f5753]) ).
thf(f43598,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_208
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f43590]) ).
thf(f43600,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f43595]) ).
thf(f43691,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_221 ),
inference(constrained_superposition,[],[f5874,f187]) ).
thf(f43696,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f43691]) ).
thf(f44517,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ~ spl2_106
| spl2_194 ),
inference(constrained_superposition,[],[f13432,f43516]) ).
thf(f44519,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_92
| ~ spl2_106 ),
inference(constrained_superposition,[],[f11200,f43516]) ).
thf(f44535,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_92
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f44519]) ).
thf(f44537,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_106
| spl2_194 ),
inference(trivial_inequality_removal,[],[f44517]) ).
thf(f44551,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_92
| ~ spl2_106 ),
inference(forward_subsumption_resolution,[],[f44535,f41]) ).
thf(f44552,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_106
| spl2_194 ),
inference(forward_subsumption_resolution,[],[f44537,f41]) ).
thf(f44555,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_92
| ~ spl2_106
| spl2_110 ),
inference(forward_subsumption_resolution,[],[f44551,f3372]) ).
thf(f44556,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_106
| spl2_194
| spl2_211 ),
inference(forward_subsumption_resolution,[],[f44552,f5794]) ).
thf(f44558,plain,
( spl2_93
| spl2_92
| ~ spl2_106
| spl2_110 ),
inference(avatar_split_clause,[],[f44555,f2964,f2800,f2448,f2451]) ).
thf(f44559,plain,
( spl2_281
| ~ spl2_106
| spl2_194
| spl2_211 ),
inference(avatar_split_clause,[],[f44556,f5763,f5704,f2800,f9049]) ).
thf(f44703,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_130
| ~ spl2_203 ),
inference(constrained_superposition,[],[f43451,f5800]) ).
thf(f44706,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_130
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f44703]) ).
thf(f44717,plain,
( spl2_307
| spl2_306
| ~ spl2_130
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f44706,f5734,f3395,f10717,f10720]) ).
thf(f44727,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_169
| ~ spl2_391 ),
inference(constrained_superposition,[],[f23565,f5314]) ).
thf(f44732,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_169
| ~ spl2_391 ),
inference(trivial_inequality_removal,[],[f44727]) ).
thf(f44738,plain,
( $false
| ~ spl2_169
| ~ spl2_181
| ~ spl2_391 ),
inference(forward_subsumption_resolution,[],[f44732,f9399]) ).
thf(f44739,plain,
( ~ spl2_169
| ~ spl2_181
| ~ spl2_391 ),
inference(avatar_contradiction_clause,[],[f44738]) ).
thf(f44788,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92 ),
inference(constrained_superposition,[],[f58,f2449]) ).
thf(f44796,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f44788]) ).
thf(f44806,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_202
| ~ spl2_503 ),
inference(constrained_superposition,[],[f42377,f5732]) ).
thf(f44811,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_202
| ~ spl2_503 ),
inference(trivial_inequality_removal,[],[f44806]) ).
thf(f44816,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_202
| ~ spl2_250
| ~ spl2_503 ),
inference(forward_subsumption_resolution,[],[f44811,f11450]) ).
thf(f44817,plain,
( spl2_215
| ~ spl2_202
| ~ spl2_250
| ~ spl2_503 ),
inference(avatar_split_clause,[],[f44816,f42376,f6719,f5731,f5808]) ).
thf(f44884,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_194
| ~ spl2_208 ),
inference(constrained_superposition,[],[f43600,f5705]) ).
thf(f44890,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_194
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f44884]) ).
thf(f44928,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_307
| ~ spl2_346 ),
inference(constrained_superposition,[],[f16860,f10721]) ).
thf(f44942,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_307
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f44928]) ).
thf(f44947,plain,
( $false
| ~ spl2_194
| ~ spl2_307
| ~ spl2_346 ),
inference(forward_subsumption_resolution,[],[f44942,f5705]) ).
thf(f44948,plain,
( ~ spl2_194
| ~ spl2_307
| ~ spl2_346 ),
inference(avatar_contradiction_clause,[],[f44947]) ).
thf(f44956,definition,
( spl2_516
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_516])],[avatar_definition]) ).
thf(f44957,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_516 ),
inference(avatar_component_clause,[],[f44956]) ).
thf(f44960,plain,
( spl2_198
| ~ spl2_14
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f43696,f5873,f209,f5717]) ).
thf(f44962,plain,
( spl2_178
| ~ spl2_14
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f43497,f3310,f209,f5381]) ).
thf(f44964,plain,
( spl2_480
| ~ spl2_84
| ~ spl2_208
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f43598,f9505,f5752,f2310,f37185]) ).
thf(f44966,plain,
( spl2_17
| spl2_101
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f44796,f2448,f2742,f219]) ).
thf(f44971,plain,
( spl2_302
| ~ spl2_194
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f44890,f5752,f5704,f10435]) ).
thf(f45032,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_191
| ~ spl2_309 ),
inference(constrained_superposition,[],[f10833,f5520]) ).
thf(f45046,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_191
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f45032]) ).
thf(f45049,plain,
( spl2_188
| spl2_182
| ~ spl2_191
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f45046,f10832,f5519,f5475,f5498]) ).
thf(f45070,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_195 ),
inference(constrained_superposition,[],[f5708,f29]) ).
thf(f45073,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_195 ),
inference(trivial_inequality_removal,[],[f45070]) ).
thf(f45076,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_195
| spl2_299 ),
inference(forward_subsumption_resolution,[],[f45073,f31594]) ).
thf(f45078,plain,
( spl2_204
| spl2_195
| spl2_299 ),
inference(avatar_split_clause,[],[f45076,f10334,f5707,f5738]) ).
thf(f45081,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_204
| ~ spl2_250 ),
inference(constrained_superposition,[],[f43234,f5739]) ).
thf(f45085,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_204
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f45081]) ).
thf(f45089,plain,
( $false
| ~ spl2_31
| ~ spl2_38
| ~ spl2_204
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f45085,f2734]) ).
thf(f45090,plain,
( ~ spl2_31
| ~ spl2_38
| ~ spl2_204
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f45089]) ).
thf(f45311,definition,
( spl2_520
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_520])],[avatar_definition]) ).
thf(f45312,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_520 ),
inference(avatar_component_clause,[],[f45311]) ).
thf(f45317,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_180
| ~ spl2_520 ),
inference(constrained_superposition,[],[f45312,f5477]) ).
thf(f45324,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_180
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f45317]) ).
thf(f45326,plain,
( $false
| ~ spl2_149
| ~ spl2_180
| ~ spl2_520 ),
inference(forward_subsumption_resolution,[],[f45324,f4019]) ).
thf(f45327,plain,
( ~ spl2_149
| ~ spl2_180
| ~ spl2_520 ),
inference(avatar_contradiction_clause,[],[f45326]) ).
thf(f45461,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_178
| ~ spl2_391 ),
inference(constrained_superposition,[],[f23565,f5382]) ).
thf(f45474,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_178
| ~ spl2_391 ),
inference(trivial_inequality_removal,[],[f45461]) ).
thf(f45475,plain,
( $false
| ~ spl2_31
| ~ spl2_178
| ~ spl2_391 ),
inference(forward_subsumption_resolution,[],[f45474,f2734]) ).
thf(f45476,plain,
( ~ spl2_31
| ~ spl2_178
| ~ spl2_391 ),
inference(avatar_contradiction_clause,[],[f45475]) ).
thf(f45524,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_204 ),
inference(constrained_superposition,[],[f41497,f5739]) ).
thf(f45529,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f45524]) ).
thf(f45546,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_204
| ~ spl2_215 ),
inference(constrained_superposition,[],[f5809,f5739]) ).
thf(f45552,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_204
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f45546]) ).
thf(f45553,plain,
( $false
| ~ spl2_204
| ~ spl2_215
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f45552,f10830]) ).
thf(f45554,plain,
( ~ spl2_204
| ~ spl2_215
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f45553]) ).
thf(f45556,definition,
( spl2_521
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_521])],[avatar_definition]) ).
thf(f45557,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_521 ),
inference(avatar_component_clause,[],[f45556]) ).
thf(f45559,plain,
( ~ spl2_31
| spl2_139
| ~ spl2_38
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f45529,f5738,f429,f3611,f379]) ).
thf(f45570,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f28,f385]) ).
thf(f45576,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f45570]) ).
thf(f45608,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_250 ),
inference(constrained_superposition,[],[f430,f11450]) ).
thf(f45613,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f45608]) ).
thf(f45867,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f28,f5325]) ).
thf(f45875,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f45867]) ).
thf(f45890,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_126
| ~ spl2_301 ),
inference(constrained_superposition,[],[f3371,f10416]) ).
thf(f45892,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_126
| ~ spl2_307 ),
inference(constrained_superposition,[],[f3371,f10721]) ).
thf(f45900,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_126
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f45892]) ).
thf(f45906,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_126
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f45890]) ).
thf(f45907,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_126
| ~ spl2_206
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f45900,f5746]) ).
thf(f45908,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_126
| ~ spl2_202
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f45906,f5732]) ).
thf(f45909,plain,
( $false
| ~ spl2_126
| ~ spl2_206
| ~ spl2_211
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f45907,f5764]) ).
thf(f45910,plain,
( ~ spl2_126
| ~ spl2_206
| ~ spl2_211
| ~ spl2_307 ),
inference(avatar_contradiction_clause,[],[f45909]) ).
thf(f45911,plain,
( $false
| ~ spl2_126
| ~ spl2_202
| ~ spl2_250
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f45908,f11450]) ).
thf(f45912,plain,
( ~ spl2_126
| ~ spl2_202
| ~ spl2_250
| ~ spl2_301 ),
inference(avatar_contradiction_clause,[],[f45911]) ).
thf(f46146,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_44
| ~ spl2_194 ),
inference(constrained_superposition,[],[f632,f5705]) ).
thf(f46152,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f46146]) ).
thf(f46185,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_194
| ~ spl2_208 ),
inference(constrained_superposition,[],[f46152,f5753]) ).
thf(f46186,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_170
| ~ spl2_194 ),
inference(constrained_superposition,[],[f46152,f5318]) ).
thf(f46187,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_194
| ~ spl2_246 ),
inference(constrained_superposition,[],[f46152,f6698]) ).
thf(f46194,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_194
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f46185]) ).
thf(f46196,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_194
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f46187]) ).
thf(f46200,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_170
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f46186]) ).
thf(f46202,plain,
( $false
| ~ spl2_44
| ~ spl2_92
| ~ spl2_194
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f46194,f2449]) ).
thf(f46203,plain,
( ~ spl2_44
| ~ spl2_92
| ~ spl2_194
| ~ spl2_208 ),
inference(avatar_contradiction_clause,[],[f46202]) ).
thf(f46204,plain,
( $false
| ~ spl2_29
| ~ spl2_44
| ~ spl2_194
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f46196,f351]) ).
thf(f46205,plain,
( ~ spl2_29
| ~ spl2_44
| ~ spl2_194
| ~ spl2_246 ),
inference(avatar_contradiction_clause,[],[f46204]) ).
thf(f46206,plain,
( $false
| ~ spl2_44
| ~ spl2_170
| ~ spl2_194
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f46200,f5739]) ).
thf(f46207,plain,
( ~ spl2_44
| ~ spl2_170
| ~ spl2_194
| ~ spl2_204 ),
inference(avatar_contradiction_clause,[],[f46206]) ).
thf(f46366,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f63,f2725]) ).
thf(f46368,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f56,f2725]) ).
thf(f46369,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1 = X1 ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f1425,f2725]) ).
thf(f46371,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( X0 = X1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f1645,f2725]) ).
thf(f46373,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f46368]) ).
thf(f46374,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( X0 = X1 )
| ( sK1 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f46369]) ).
thf(f46376,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f46366]) ).
thf(f46377,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f46371]) ).
thf(f46508,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f2285,f78]) ).
thf(f46510,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f2285,f185]) ).
thf(f46511,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f46508]) ).
thf(f46513,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f46510]) ).
thf(f46518,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_20
| ~ spl2_47 ),
inference(constrained_superposition,[],[f692,f247]) ).
thf(f46519,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_105 ),
inference(constrained_superposition,[],[f692,f2760]) ).
thf(f46525,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f46518]) ).
thf(f46526,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_47
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f46519]) ).
thf(f46756,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f63,f421]) ).
thf(f46757,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f28,f421]) ).
thf(f46758,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f56,f421]) ).
thf(f46759,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( sK1 = X1 )
| ( X0 = X1 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1425,f421]) ).
thf(f46762,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f46759]) ).
thf(f46763,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f46757]) ).
thf(f46764,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f46756]) ).
thf(f46767,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f46758]) ).
thf(f46784,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_29
| ~ spl2_454 ),
inference(constrained_superposition,[],[f3176,f35797]) ).
thf(f46786,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_29
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f46784]) ).
thf(f46788,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_29
| ~ spl2_454 ),
inference(forward_subsumption_resolution,[],[f46786,f41]) ).
thf(f46790,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_29
| spl2_149
| ~ spl2_454 ),
inference(forward_subsumption_resolution,[],[f46788,f4033]) ).
thf(f46791,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_29
| spl2_40
| spl2_149
| ~ spl2_454 ),
inference(forward_subsumption_resolution,[],[f46790,f513]) ).
thf(f46792,plain,
( spl2_21
| spl2_29
| spl2_40
| spl2_149
| ~ spl2_454 ),
inference(avatar_split_clause,[],[f46791,f35796,f4018,f512,f350,f249]) ).
thf(f46883,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_38
| ~ spl2_211 ),
inference(constrained_superposition,[],[f430,f5764]) ).
thf(f46885,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_211 ),
inference(constrained_superposition,[],[f27,f5764]) ).
thf(f46886,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f46883]) ).
thf(f46887,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f46885]) ).
thf(f46898,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_47
| ~ spl2_180 ),
inference(constrained_superposition,[],[f692,f5477]) ).
thf(f46906,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f46898]) ).
thf(f46992,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_301 ),
inference(constrained_superposition,[],[f27,f10416]) ).
thf(f46997,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f46992]) ).
thf(f47001,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_92
| ~ spl2_345 ),
inference(constrained_superposition,[],[f16020,f2449]) ).
thf(f47008,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_92
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f47001]) ).
thf(f47009,plain,
( $false
| ~ spl2_20
| ~ spl2_92
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f47008,f247]) ).
thf(f47010,plain,
( ~ spl2_20
| ~ spl2_92
| ~ spl2_345 ),
inference(avatar_contradiction_clause,[],[f47009]) ).
thf(f47030,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_38
| ~ spl2_181 ),
inference(constrained_superposition,[],[f430,f9399]) ).
thf(f47035,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f47030]) ).
thf(f47054,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f27,f5739]) ).
thf(f47057,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f47054]) ).
thf(f47076,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_47
| ~ spl2_206 ),
inference(constrained_superposition,[],[f692,f5746]) ).
thf(f47079,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_206 ),
inference(constrained_superposition,[],[f27,f5746]) ).
thf(f47082,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f47076]) ).
thf(f47083,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f47079]) ).
thf(f47180,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_301
| ~ spl2_364 ),
inference(constrained_superposition,[],[f19409,f10416]) ).
thf(f47185,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_301
| ~ spl2_364 ),
inference(trivial_inequality_removal,[],[f47180]) ).
thf(f47188,plain,
( $false
| ~ spl2_94
| ~ spl2_301
| ~ spl2_364 ),
inference(forward_subsumption_resolution,[],[f47185,f2532]) ).
thf(f47189,plain,
( ~ spl2_94
| ~ spl2_301
| ~ spl2_364 ),
inference(avatar_contradiction_clause,[],[f47188]) ).
thf(f47271,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_180
| ~ spl2_188 ),
inference(constrained_superposition,[],[f46906,f5499]) ).
thf(f47278,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_180
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f47271]) ).
thf(f47279,plain,
( $false
| ~ spl2_20
| ~ spl2_47
| ~ spl2_180
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f47278,f247]) ).
thf(f47280,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_180
| ~ spl2_188 ),
inference(avatar_contradiction_clause,[],[f47279]) ).
thf(f47304,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f28,f5321]) ).
thf(f47314,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f47304]) ).
thf(f47353,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_206
| ~ spl2_307 ),
inference(constrained_superposition,[],[f47082,f10721]) ).
thf(f47354,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_194
| ~ spl2_206 ),
inference(constrained_superposition,[],[f47082,f5705]) ).
thf(f47357,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_194
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f47354]) ).
thf(f47360,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_47
| ~ spl2_206
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f47353]) ).
thf(f47363,plain,
( $false
| ~ spl2_20
| ~ spl2_47
| ~ spl2_194
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f47357,f247]) ).
thf(f47364,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_194
| ~ spl2_206 ),
inference(avatar_contradiction_clause,[],[f47363]) ).
thf(f47365,plain,
( $false
| ~ spl2_47
| ~ spl2_84
| ~ spl2_206
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f47360,f2311]) ).
thf(f47366,plain,
( ~ spl2_47
| ~ spl2_84
| ~ spl2_206
| ~ spl2_307 ),
inference(avatar_contradiction_clause,[],[f47365]) ).
thf(f47500,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f3311,f29]) ).
thf(f47510,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f47500]) ).
thf(f47519,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f27,f5314]) ).
thf(f47521,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f47519]) ).
thf(f47634,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f46763,f29]) ).
thf(f47636,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f46763,f52]) ).
thf(f47637,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f46763,f77]) ).
thf(f47638,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f47637]) ).
thf(f47640,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f47636]) ).
thf(f47641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f47634]) ).
thf(f47790,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f45576,f29]) ).
thf(f47792,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f45576,f52]) ).
thf(f47797,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f47790]) ).
thf(f47801,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f47792]) ).
thf(f47832,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_111
| ~ spl2_178 ),
inference(constrained_superposition,[],[f2968,f5382]) ).
thf(f47851,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_111
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f47832]) ).
thf(f47855,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_29
| ~ spl2_111
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f47851,f351]) ).
thf(f47857,plain,
( spl2_67
| ~ spl2_29
| ~ spl2_111
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f47855,f5381,f2967,f350,f1228]) ).
thf(f48017,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f4054,f29]) ).
thf(f48021,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f48017]) ).
thf(f48022,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f48021,f41]) ).
thf(f48040,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_98 ),
inference(constrained_superposition,[],[f47638,f2725]) ).
thf(f48042,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f47638,f29]) ).
thf(f48045,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f48042]) ).
thf(f48046,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f48040]) ).
thf(f48047,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f48045,f41]) ).
thf(f48141,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_98
| ~ spl2_309 ),
inference(constrained_superposition,[],[f10833,f2725]) ).
thf(f48145,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_98
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f48141]) ).
thf(f48271,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f47314,f76]) ).
thf(f48273,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f47314,f187]) ).
thf(f48275,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f47314,f1673]) ).
thf(f48280,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f48271]) ).
thf(f48284,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f48275]) ).
thf(f48285,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f48273]) ).
thf(f48287,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_171
| spl2_208 ),
inference(forward_subsumption_resolution,[],[f48284,f13433]) ).
thf(f48288,plain,
( spl2_197
| spl2_198
| ~ spl2_333
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f48285,f5320,f13826,f5717,f5714]) ).
thf(f48289,plain,
( spl2_207
| ~ spl2_324
| ~ spl2_171
| spl2_208 ),
inference(avatar_split_clause,[],[f48287,f5752,f5320,f12576,f5749]) ).
thf(f48318,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_307 ),
inference(constrained_superposition,[],[f27,f10721]) ).
thf(f48320,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f48318]) ).
thf(f48421,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f45875,f76]) ).
thf(f48423,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f45875,f187]) ).
thf(f48425,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f45875,f1673]) ).
thf(f48428,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f48425]) ).
thf(f48432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f48421]) ).
thf(f48434,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f48423]) ).
thf(f48436,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_140
| ~ spl2_204 ),
inference(constrained_superposition,[],[f47057,f3615]) ).
thf(f48447,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_140
| ~ spl2_204 ),
inference(duplicate_literal_removal,[],[f48436]) ).
thf(f48448,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_140
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f48447]) ).
thf(f48815,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_206
| ~ spl2_246 ),
inference(constrained_superposition,[],[f47083,f6698]) ).
thf(f48831,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_206
| ~ spl2_246 ),
inference(duplicate_literal_removal,[],[f48815]) ).
thf(f48832,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_206
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f48831]) ).
thf(f49486,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f47510,f29]) ).
thf(f49491,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f49486]) ).
thf(f49494,plain,
( spl2_112
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f49491,f3310,f2971]) ).
thf(f49560,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_107 ),
inference(constrained_superposition,[],[f692,f2806]) ).
thf(f49566,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f49560]) ).
thf(f50125,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( sK1 = X1 )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f46762,f52]) ).
thf(f50127,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X1 )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f46762,f29]) ).
thf(f50129,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( sK1 = X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50125]) ).
thf(f50130,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50127]) ).
thf(f50171,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f46767,f76]) ).
thf(f50172,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f46767,f52]) ).
thf(f50173,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f46767,f29]) ).
thf(f50174,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50172]) ).
thf(f50175,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50171]) ).
thf(f50176,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50173]) ).
thf(f50177,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f50174,f41]) ).
thf(f50178,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f50175,f41]) ).
thf(f50621,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f47641,f29]) ).
thf(f50623,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f47641,f52]) ).
thf(f50624,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f47641,f77]) ).
thf(f50625,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50623]) ).
thf(f50626,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50624]) ).
thf(f50628,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50621]) ).
thf(f50631,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f46511,f52]) ).
thf(f50635,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f50631]) ).
thf(f50644,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( X0 = X1 )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f50130,f29]) ).
thf(f50651,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50644]) ).
thf(f50772,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f50176,f29]) ).
thf(f50774,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f50176,f52]) ).
thf(f50775,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f50176,f77]) ).
thf(f50776,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50775]) ).
thf(f50777,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50772]) ).
thf(f50778,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50774]) ).
thf(f50783,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f46374,f77]) ).
thf(f50789,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f50783]) ).
thf(f51108,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f46764,f29]) ).
thf(f51110,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f51108]) ).
thf(f51629,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_277
| ~ spl2_401 ),
inference(constrained_superposition,[],[f26245,f8936]) ).
thf(f51654,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_277
| ~ spl2_401 ),
inference(trivial_inequality_removal,[],[f51629]) ).
thf(f51676,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_180
| ~ spl2_277
| ~ spl2_401 ),
inference(forward_subsumption_resolution,[],[f51654,f5426]) ).
thf(f51686,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_180
| ~ spl2_204
| ~ spl2_277
| ~ spl2_401 ),
inference(forward_subsumption_resolution,[],[f51676,f5739]) ).
thf(f51689,plain,
( spl2_186
| spl2_356
| spl2_180
| ~ spl2_204
| ~ spl2_277
| ~ spl2_401 ),
inference(avatar_split_clause,[],[f51686,f26244,f8935,f5738,f5425,f18375,f5491]) ).
thf(f51694,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_180
| ~ spl2_184 ),
inference(constrained_superposition,[],[f5426,f5485]) ).
thf(f51749,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_180
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f51694]) ).
thf(f51810,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_149
| spl2_180
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f51749,f4033]) ).
thf(f51816,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_149
| spl2_180
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f51810,f41]) ).
thf(f51822,plain,
( spl2_186
| spl2_149
| spl2_180
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f51816,f5484,f5425,f4018,f5491]) ).
thf(f51837,definition,
( spl2_532
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_532])],[avatar_definition]) ).
thf(f51838,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_532 ),
inference(avatar_component_clause,[],[f51837]) ).
thf(f51841,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f46513,f188]) ).
thf(f51845,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f51841]) ).
thf(f52090,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f50628,f29]) ).
thf(f52094,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f52090]) ).
thf(f52116,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_76
| ~ spl2_140
| ~ spl2_204 ),
inference(constrained_superposition,[],[f48448,f2277]) ).
thf(f52191,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_140
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f52116]) ).
thf(f52229,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_76
| ~ spl2_140
| spl2_202
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f52191,f9495]) ).
thf(f52244,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_76
| ~ spl2_140
| ~ spl2_178
| spl2_202
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f52229,f5382]) ).
thf(f52256,plain,
( spl2_473
| ~ spl2_76
| ~ spl2_140
| ~ spl2_178
| spl2_202
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f52244,f5738,f5731,f5381,f3614,f2276,f36624]) ).
thf(f52259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ X1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f47640,f29]) ).
thf(f52261,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f47640,f52]) ).
thf(f52263,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f52261]) ).
thf(f52266,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ ( sK0 @ X1 ) )
!= $true )
| ( sK1 = X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f52259]) ).
thf(f52267,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ X1 ) )
!= $true )
| ( sK1 = X1 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f50177,f29]) ).
thf(f52269,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 )
| ( $true != $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f50177,f52]) ).
thf(f52271,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f52269]) ).
thf(f52273,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ X1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f52267]) ).
thf(f52293,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f50777,f188]) ).
thf(f52307,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f52293]) ).
thf(f52446,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_79
| spl2_208 ),
inference(constrained_superposition,[],[f13433,f2288]) ).
thf(f52479,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_79
| ~ spl2_211 ),
inference(constrained_superposition,[],[f46887,f2288]) ).
thf(f52481,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_79
| ~ spl2_307 ),
inference(constrained_superposition,[],[f48320,f2288]) ).
thf(f52482,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_79
| ~ spl2_206
| ~ spl2_246 ),
inference(constrained_superposition,[],[f48832,f2288]) ).
thf(f52496,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) )
| ~ spl2_54
| ~ spl2_79 ),
inference(constrained_superposition,[],[f10078,f2288]) ).
thf(f52510,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) )
| ~ spl2_54
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f52496]) ).
thf(f52517,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_79
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f52479]) ).
thf(f52529,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_79
| ~ spl2_307 ),
inference(duplicate_literal_removal,[],[f52481]) ).
thf(f52530,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_79
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f52529]) ).
thf(f52551,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_79
| spl2_208 ),
inference(trivial_inequality_removal,[],[f52446]) ).
thf(f52572,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_79
| ~ spl2_206
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f52482]) ).
thf(f52574,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) )
| ~ spl2_54
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f52510,f821]) ).
thf(f52579,plain,
( spl2_274
| spl2_198
| ~ spl2_79
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f52517,f5763,f2287,f5717,f8293]) ).
thf(f52583,definition,
( spl2_535
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_535])],[avatar_definition]) ).
thf(f52584,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_535 ),
inference(avatar_component_clause,[],[f52583]) ).
thf(f52587,definition,
( spl2_536
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_536])],[avatar_definition]) ).
thf(f52588,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_536 ),
inference(avatar_component_clause,[],[f52587]) ).
thf(f52589,plain,
( spl2_536
| spl2_198
| ~ spl2_79
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f52530,f10720,f2287,f5717,f52587]) ).
thf(f52592,plain,
( spl2_198
| ~ spl2_79
| spl2_208 ),
inference(avatar_split_clause,[],[f52551,f5752,f2287,f5717]) ).
thf(f52601,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_79
| ~ spl2_94
| ~ spl2_206
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f52572,f2532]) ).
thf(f52604,definition,
( spl2_538
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_538])],[avatar_definition]) ).
thf(f52605,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) )
| ~ spl2_538 ),
inference(avatar_component_clause,[],[f52604]) ).
thf(f52606,plain,
( spl2_237
| spl2_538
| ~ spl2_54
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f52574,f2287,f820,f52604,f6483]) ).
thf(f52611,plain,
( spl2_353
| spl2_198
| ~ spl2_79
| ~ spl2_94
| ~ spl2_206
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f52601,f6697,f5745,f2531,f2287,f5717,f17771]) ).
thf(f52614,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_4
| ~ spl2_98 ),
inference(constrained_superposition,[],[f51110,f2725]) ).
thf(f52616,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_4
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f52614]) ).
thf(f52654,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_208
| ~ spl2_319 ),
inference(constrained_superposition,[],[f13433,f12193]) ).
thf(f52760,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_208
| ~ spl2_319 ),
inference(trivial_inequality_removal,[],[f52654]) ).
thf(f52796,plain,
( $false
| spl2_194
| spl2_208
| ~ spl2_319 ),
inference(forward_subsumption_resolution,[],[f52760,f13432]) ).
thf(f52797,plain,
( spl2_194
| spl2_208
| ~ spl2_319 ),
inference(avatar_contradiction_clause,[],[f52796]) ).
thf(f52830,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f46373,f77]) ).
thf(f52836,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f52830]) ).
thf(f52848,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true != $true ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f46376,f77]) ).
thf(f52854,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f52848]) ).
thf(f52967,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f47797,f51]) ).
thf(f52976,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f52967]) ).
thf(f52978,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f52976,f10904]) ).
thf(f52980,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_17
| spl2_308 ),
inference(constrained_superposition,[],[f52978,f29]) ).
thf(f52981,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| spl2_308 ),
inference(trivial_inequality_removal,[],[f52980]) ).
thf(f53054,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_17
| spl2_308 ),
inference(constrained_superposition,[],[f52981,f29]) ).
thf(f53058,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_17
| spl2_308 ),
inference(duplicate_literal_removal,[],[f53054]) ).
thf(f53059,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_17
| spl2_308 ),
inference(trivial_inequality_removal,[],[f53058]) ).
thf(f53181,plain,
( spl2_454
| ~ spl2_17
| spl2_308 ),
inference(avatar_split_clause,[],[f53059,f10829,f219,f35796]) ).
thf(f53286,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_44
| ~ spl2_454 ),
inference(constrained_superposition,[],[f632,f35797]) ).
thf(f53337,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_44
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f53286]) ).
thf(f53963,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_157 ),
inference(constrained_superposition,[],[f4058,f188]) ).
thf(f53981,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f53963]) ).
thf(f53987,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f48022,f76]) ).
thf(f53990,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f48022,f188]) ).
thf(f53998,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f53990]) ).
thf(f54005,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f53987]) ).
thf(f54011,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f54005,f421]) ).
thf(f54051,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_44
| ~ spl2_156 ),
inference(constrained_superposition,[],[f632,f54011]) ).
thf(f54103,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_44
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f54051]) ).
thf(f54678,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_44
| ~ spl2_219 ),
inference(constrained_superposition,[],[f632,f5866]) ).
thf(f54689,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f54678]) ).
thf(f54745,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f54689,f41]) ).
thf(f54754,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_219
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f54745,f10904]) ).
thf(f54762,definition,
( spl2_543
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_543])],[avatar_definition]) ).
thf(f54763,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_543 ),
inference(avatar_component_clause,[],[f54762]) ).
thf(f54764,plain,
( spl2_543
| spl2_281
| ~ spl2_44
| ~ spl2_219
| spl2_308 ),
inference(avatar_split_clause,[],[f54754,f10829,f5865,f631,f9049,f54762]) ).
thf(f54776,definition,
( spl2_545
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_545])],[avatar_definition]) ).
thf(f54777,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_545 ),
inference(avatar_component_clause,[],[f54776]) ).
thf(f54800,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_250
| ~ spl2_263 ),
inference(constrained_superposition,[],[f45613,f7833]) ).
thf(f54808,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_38
| ~ spl2_250
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f54800]) ).
thf(f54835,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_38
| ~ spl2_181
| ~ spl2_250
| ~ spl2_263 ),
inference(forward_subsumption_resolution,[],[f54808,f9399]) ).
thf(f54845,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_38
| ~ spl2_181
| spl2_202
| ~ spl2_250
| ~ spl2_263 ),
inference(forward_subsumption_resolution,[],[f54835,f9495]) ).
thf(f54848,plain,
( spl2_192
| spl2_356
| ~ spl2_38
| ~ spl2_181
| spl2_202
| ~ spl2_250
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f54845,f7832,f6719,f5731,f5428,f429,f18375,f5522]) ).
thf(f55250,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_92
| ~ spl2_147 ),
inference(constrained_superposition,[],[f11200,f3935]) ).
thf(f55295,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_92
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f55250]) ).
thf(f55302,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_83
| spl2_92
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f55295,f5264]) ).
thf(f55304,plain,
( $false
| spl2_83
| spl2_84
| spl2_92
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f55302,f11201]) ).
thf(f55305,plain,
( spl2_83
| spl2_84
| spl2_92
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f55304]) ).
thf(f55332,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_180
| ~ spl2_257 ),
inference(constrained_superposition,[],[f5426,f7158]) ).
thf(f55378,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_47
| ~ spl2_257 ),
inference(constrained_superposition,[],[f692,f7158]) ).
thf(f55405,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f55378]) ).
thf(f55407,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_180
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f55332]) ).
thf(f55452,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| spl2_149
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f55405,f4033]) ).
thf(f55453,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_149
| spl2_180
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f55407,f4033]) ).
thf(f55460,plain,
( spl2_186
| spl2_532
| ~ spl2_47
| spl2_149
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f55452,f7157,f4018,f691,f51837,f5491]) ).
thf(f55461,plain,
( spl2_186
| spl2_149
| spl2_180
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f55453,f7157,f5425,f4018,f5491]) ).
thf(f55479,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f2285,f1674]) ).
thf(f55481,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f3311,f1674]) ).
thf(f55486,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f201,f1674]) ).
thf(f55487,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f341,f1674]) ).
thf(f55488,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_156 ),
inference(constrained_superposition,[],[f48022,f1674]) ).
thf(f55490,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(constrained_superposition,[],[f176,f1674]) ).
thf(f55493,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f1409,f1674]) ).
thf(f55494,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f60,f1674]) ).
thf(f55499,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f28,f1674]) ).
thf(f55508,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f55490]) ).
thf(f55509,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) ) )
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f55488]) ).
thf(f55511,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f55487]) ).
thf(f55512,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f55499]) ).
thf(f55520,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f55481]) ).
thf(f55522,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f55493]) ).
thf(f55525,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f55486]) ).
thf(f55526,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f55494]) ).
thf(f55529,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f55479]) ).
thf(f55549,definition,
( spl2_548
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_548])],[avatar_definition]) ).
thf(f55550,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_548 ),
inference(avatar_component_clause,[],[f55549]) ).
thf(f55555,definition,
( spl2_549
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_549])],[avatar_definition]) ).
thf(f55556,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_549 ),
inference(avatar_component_clause,[],[f55555]) ).
thf(f55568,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f55520,f77]) ).
thf(f55573,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f55568]) ).
thf(f55575,plain,
( spl2_549
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f55573,f3310,f55555]) ).
thf(f55576,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f55529,f188]) ).
thf(f55580,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f55576]) ).
thf(f55584,plain,
( spl2_548
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f55580,f2284,f55549]) ).
thf(f55804,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_549 ),
inference(constrained_superposition,[],[f27,f55556]) ).
thf(f55816,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) ) )
| ~ spl2_549 ),
inference(trivial_inequality_removal,[],[f55804]) ).
thf(f55967,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X3 @ X1 ) ) )
| ~ spl2_548 ),
inference(constrained_superposition,[],[f27,f55550]) ).
thf(f55968,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_548 ),
inference(trivial_inequality_removal,[],[f55967]) ).
thf(f56117,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f52266,f29]) ).
thf(f56119,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f56117]) ).
thf(f56122,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f56119,f41]) ).
thf(f56159,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f56122,f188]) ).
thf(f56177,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f56159]) ).
thf(f56213,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( sK1 = X1 )
| ( ( sK0 @ X2 )
= X1 )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ X1 @ ( sK0 @ X2 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) ) ),
inference(constrained_superposition,[],[f1828,f29]) ).
thf(f56215,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f1828,f2725]) ).
thf(f56218,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f56215]) ).
thf(f56220,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ X2 ) ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ X2 )
= X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( sK1 = X1 ) ),
inference(trivial_inequality_removal,[],[f56213]) ).
thf(f56242,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f56218,f188]) ).
thf(f56244,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f56218,f77]) ).
thf(f56250,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f56244]) ).
thf(f56252,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f56242]) ).
thf(f56257,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ X2 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X2 ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( sK1 = X0 )
| ( sK1 = X1 ) ),
inference(constrained_superposition,[],[f1837,f29]) ).
thf(f56266,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X2 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X2 ) ) )
| ( ( sK0 @ X2 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f56257]) ).
thf(f56334,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ X1 )
= X0 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f1726,f29]) ).
thf(f56336,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f56334]) ).
thf(f56810,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f50776,f1674]) ).
thf(f56818,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f56810]) ).
thf(f56833,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f52263,f188]) ).
thf(f56840,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f52263,f1674]) ).
thf(f56842,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f56840]) ).
thf(f56847,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f56833]) ).
thf(f56864,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f52271,f188]) ).
thf(f56871,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f52271,f1674]) ).
thf(f56874,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f56864]) ).
thf(f56878,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f56871]) ).
thf(f57086,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true != $true )
| ( sK1 = X0 ) ),
inference(constrained_superposition,[],[f56336,f29]) ).
thf(f57094,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) ) ),
inference(duplicate_literal_removal,[],[f57086]) ).
thf(f57095,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f57094]) ).
thf(f57238,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f47801,f51]) ).
thf(f57243,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f57238]) ).
thf(f57249,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true ) )
| ~ spl2_17
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f57243,f10904]) ).
thf(f57250,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true ) )
| ~ spl2_17
| spl2_308 ),
inference(constrained_superposition,[],[f57249,f51]) ).
thf(f57252,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_17
| spl2_308 ),
inference(trivial_inequality_removal,[],[f57250]) ).
thf(f57258,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_17
| spl2_308 ),
inference(constrained_superposition,[],[f57252,f29]) ).
thf(f57259,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_17
| spl2_308 ),
inference(trivial_inequality_removal,[],[f57258]) ).
thf(f57264,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_17
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f57259,f41]) ).
thf(f57270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_44
| spl2_308 ),
inference(constrained_superposition,[],[f632,f57264]) ).
thf(f57301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_44
| spl2_308 ),
inference(trivial_inequality_removal,[],[f57270]) ).
thf(f57597,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_5
| ~ spl2_17
| ~ spl2_44
| spl2_308 ),
inference(constrained_superposition,[],[f57301,f93]) ).
thf(f57615,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_5
| ~ spl2_17
| ~ spl2_44
| spl2_308 ),
inference(trivial_inequality_removal,[],[f57597]) ).
thf(f57632,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_5
| ~ spl2_17
| ~ spl2_44
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f57615,f10904]) ).
thf(f57644,definition,
( spl2_554
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_554])],[avatar_definition]) ).
thf(f57645,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_554 ),
inference(avatar_component_clause,[],[f57644]) ).
thf(f57787,plain,
( spl2_554
| ~ spl2_5
| ~ spl2_17
| ~ spl2_44
| spl2_308 ),
inference(avatar_split_clause,[],[f57632,f10829,f631,f219,f92,f57644]) ).
thf(f58009,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f82,f51]) ).
thf(f58029,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f58009]) ).
thf(f58040,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ),
inference(extensionality_resolution,[],[f83,f41]) ).
thf(f58041,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ),
inference(extensionality_resolution,[],[f83,f41]) ).
thf(f58042,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f83,f31594]) ).
thf(f58044,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_83 ),
inference(extensionality_resolution,[],[f83,f5264]) ).
thf(f58045,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_83 ),
inference(extensionality_resolution,[],[f83,f5264]) ).
thf(f58050,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f83,f77]) ).
thf(f58053,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f83,f188]) ).
thf(f58060,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) ),
inference(constrained_superposition,[],[f83,f1674]) ).
thf(f58067,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f58050]) ).
thf(f58070,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f58053]) ).
thf(f58071,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f58060]) ).
thf(f58082,definition,
( spl2_555
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_555])],[avatar_definition]) ).
thf(f58083,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_555 ),
inference(avatar_component_clause,[],[f58082]) ).
thf(f58085,definition,
( spl2_556
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_556])],[avatar_definition]) ).
thf(f58086,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 ) )
| ~ spl2_556 ),
inference(avatar_component_clause,[],[f58085]) ).
thf(f58089,definition,
( spl2_557
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_557])],[avatar_definition]) ).
thf(f58090,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_557 ),
inference(avatar_component_clause,[],[f58089]) ).
thf(f58092,definition,
( spl2_558
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_558])],[avatar_definition]) ).
thf(f58093,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_558 ),
inference(avatar_component_clause,[],[f58092]) ).
thf(f58142,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_44
| ~ spl2_556 ),
inference(constrained_superposition,[],[f632,f58086]) ).
thf(f58168,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f58142]) ).
thf(f58269,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_47
| ~ spl2_557 ),
inference(constrained_superposition,[],[f692,f58090]) ).
thf(f58294,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_47
| ~ spl2_557 ),
inference(trivial_inequality_removal,[],[f58269]) ).
thf(f58380,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(extensionality_resolution,[],[f1445,f41]) ).
thf(f58381,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f1445,f31594]) ).
thf(f58383,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_83 ),
inference(extensionality_resolution,[],[f1445,f5264]) ).
thf(f58384,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| spl2_83 ),
inference(extensionality_resolution,[],[f1445,f5264]) ).
thf(f58436,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f58029,f41]) ).
thf(f58438,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f58029,f31594]) ).
thf(f58440,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_83 ),
inference(extensionality_resolution,[],[f58029,f5264]) ).
thf(f58441,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f58029,f51]) ).
thf(f58443,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( X0 = X1 )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f58441]) ).
thf(f58484,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
inference(extensionality_resolution,[],[f58443,f41]) ).
thf(f58485,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ X1 ) ) ) ) ),
inference(extensionality_resolution,[],[f58443,f41]) ).
thf(f58486,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f58443,f31594]) ).
thf(f58488,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_83 ),
inference(extensionality_resolution,[],[f58443,f5264]) ).
thf(f58489,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_83 ),
inference(extensionality_resolution,[],[f58443,f5264]) ).
thf(f58494,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( sK1 = X1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f58443,f77]) ).
thf(f58504,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f58443,f1674]) ).
thf(f58518,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f58494]) ).
thf(f58519,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f58504]) ).
thf(f58669,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 ) )
| ~ spl2_44
| ~ spl2_98 ),
inference(constrained_superposition,[],[f632,f46377]) ).
thf(f58711,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f58669]) ).
thf(f61055,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_93 ),
inference(avatar_component_clause,[],[f2451]) ).
thf(f61113,definition,
( spl2_586
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_586])],[avatar_definition]) ).
thf(f61114,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(avatar_component_clause,[],[f61113]) ).
thf(f61117,definition,
( spl2_587
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_587])],[avatar_definition]) ).
thf(f61118,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_587 ),
inference(avatar_component_clause,[],[f61117]) ).
thf(f61120,definition,
( spl2_588
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_588])],[avatar_definition]) ).
thf(f61121,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_588 ),
inference(avatar_component_clause,[],[f61120]) ).
thf(f61124,definition,
( spl2_589
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_589])],[avatar_definition]) ).
thf(f61125,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_589 ),
inference(avatar_component_clause,[],[f61124]) ).
thf(f61128,definition,
( spl2_590
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_590])],[avatar_definition]) ).
thf(f61129,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_590 ),
inference(avatar_component_clause,[],[f61128]) ).
thf(f61222,definition,
( spl2_593
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_593])],[avatar_definition]) ).
thf(f61223,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_593 ),
inference(avatar_component_clause,[],[f61222]) ).
thf(f61229,definition,
( spl2_594
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_594])],[avatar_definition]) ).
thf(f61230,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_594 ),
inference(avatar_component_clause,[],[f61229]) ).
thf(f61277,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_47
| ~ spl2_180 ),
inference(constrained_superposition,[],[f692,f5477]) ).
thf(f61288,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_180
| ~ spl2_401 ),
inference(constrained_superposition,[],[f26245,f5477]) ).
thf(f61297,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_180
| ~ spl2_401 ),
inference(trivial_inequality_removal,[],[f61288]) ).
thf(f61307,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f61277]) ).
thf(f61313,plain,
( $false
| ~ spl2_29
| ~ spl2_180
| ~ spl2_401 ),
inference(forward_subsumption_resolution,[],[f61297,f351]) ).
thf(f61314,plain,
( ~ spl2_29
| ~ spl2_180
| ~ spl2_401 ),
inference(avatar_contradiction_clause,[],[f61313]) ).
thf(f61317,plain,
( spl2_532
| ~ spl2_47
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f61307,f5425,f691,f51837]) ).
thf(f61323,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_254
| ~ spl2_456 ),
inference(constrained_superposition,[],[f36119,f7069]) ).
thf(f61326,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_169
| ~ spl2_254 ),
inference(constrained_superposition,[],[f47521,f7069]) ).
thf(f61331,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_254
| ~ spl2_548 ),
inference(constrained_superposition,[],[f55968,f7069]) ).
thf(f61345,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_254
| ~ spl2_548 ),
inference(trivial_inequality_removal,[],[f61331]) ).
thf(f61347,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_254
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f61323]) ).
thf(f61352,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_169
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f61326]) ).
thf(f61362,definition,
( spl2_597
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_597])],[avatar_definition]) ).
thf(f61363,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_597 ),
inference(avatar_component_clause,[],[f61362]) ).
thf(f61364,plain,
( spl2_597
| spl2_188
| ~ spl2_254
| ~ spl2_548 ),
inference(avatar_split_clause,[],[f61345,f55549,f7068,f5498,f61362]) ).
thf(f61365,plain,
( $false
| ~ spl2_29
| ~ spl2_254
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f61347,f351]) ).
thf(f61366,plain,
( ~ spl2_29
| ~ spl2_254
| ~ spl2_456 ),
inference(avatar_contradiction_clause,[],[f61365]) ).
thf(f61368,plain,
( spl2_597
| ~ spl2_169
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f61352,f7068,f5313,f61362]) ).
thf(f61471,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f201,f61129]) ).
thf(f61524,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f61471]) ).
thf(f61833,definition,
( spl2_601
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_601])],[avatar_definition]) ).
thf(f61834,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_601 ),
inference(avatar_component_clause,[],[f61833]) ).
thf(f61840,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_442
| ~ spl2_445 ),
inference(constrained_superposition,[],[f33832,f33508]) ).
thf(f61854,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_47
| ~ spl2_206
| ~ spl2_442 ),
inference(constrained_superposition,[],[f47082,f33508]) ).
thf(f61855,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_211
| ~ spl2_442 ),
inference(constrained_superposition,[],[f46886,f33508]) ).
thf(f61863,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_211
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f61855]) ).
thf(f61869,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_47
| ~ spl2_206
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f61854]) ).
thf(f61877,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_442
| ~ spl2_445 ),
inference(trivial_inequality_removal,[],[f61840]) ).
thf(f61883,plain,
( $false
| ~ spl2_38
| ~ spl2_181
| ~ spl2_211
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f61863,f9399]) ).
thf(f61884,plain,
( ~ spl2_38
| ~ spl2_181
| ~ spl2_211
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f61883]) ).
thf(f61885,plain,
( $false
| ~ spl2_47
| ~ spl2_180
| ~ spl2_206
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f61869,f5477]) ).
thf(f61886,plain,
( ~ spl2_47
| ~ spl2_180
| ~ spl2_206
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f61885]) ).
thf(f61890,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_211
| ~ spl2_442
| ~ spl2_445 ),
inference(forward_subsumption_resolution,[],[f61877,f5764]) ).
thf(f61898,plain,
( $false
| ~ spl2_211
| ~ spl2_307
| ~ spl2_442
| ~ spl2_445 ),
inference(forward_subsumption_resolution,[],[f61890,f10721]) ).
thf(f61899,plain,
( ~ spl2_211
| ~ spl2_307
| ~ spl2_442
| ~ spl2_445 ),
inference(avatar_contradiction_clause,[],[f61898]) ).
thf(f61951,plain,
( spl2_246
| spl2_221
| ~ spl2_335
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f48432,f5324,f13845,f5873,f6697]) ).
thf(f61953,plain,
( ~ spl2_335
| spl2_229
| spl2_246
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f48280,f5320,f6697,f5984,f13845]) ).
thf(f61957,plain,
( spl2_258
| spl2_197
| ~ spl2_195
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f61524,f61128,f5707,f5714,f7257]) ).
thf(f61958,plain,
( spl2_198
| spl2_217
| ~ spl2_333
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f48434,f5324,f13826,f5858,f5717]) ).
thf(f61971,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f3327,f1674]) ).
thf(f61977,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f61971]) ).
thf(f62037,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_244
| ~ spl2_287 ),
inference(constrained_superposition,[],[f9511,f6685]) ).
thf(f62039,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_244
| ~ spl2_301 ),
inference(constrained_superposition,[],[f46997,f6685]) ).
thf(f62043,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_244
| ~ spl2_549 ),
inference(constrained_superposition,[],[f55816,f6685]) ).
thf(f62045,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_244
| ~ spl2_548 ),
inference(constrained_superposition,[],[f55968,f6685]) ).
thf(f62054,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_244
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f62037]) ).
thf(f62055,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_244
| ~ spl2_548 ),
inference(trivial_inequality_removal,[],[f62045]) ).
thf(f62059,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_244
| ~ spl2_549 ),
inference(trivial_inequality_removal,[],[f62043]) ).
thf(f62065,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_244
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f62039]) ).
thf(f62072,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_20
| ~ spl2_244
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f62054,f247]) ).
thf(f62074,definition,
( spl2_606
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_606])],[avatar_definition]) ).
thf(f62075,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_606 ),
inference(avatar_component_clause,[],[f62074]) ).
thf(f62076,plain,
( spl2_204
| spl2_606
| ~ spl2_244
| ~ spl2_548 ),
inference(avatar_split_clause,[],[f62055,f55549,f6684,f62074,f5738]) ).
thf(f62078,plain,
( spl2_606
| ~ spl2_244
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f62065,f10415,f6684,f62074]) ).
thf(f62080,plain,
( spl2_65
| ~ spl2_20
| ~ spl2_244
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f62072,f9510,f6684,f246,f1178]) ).
thf(f62225,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_169
| ~ spl2_258 ),
inference(constrained_superposition,[],[f47521,f7258]) ).
thf(f62236,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_47
| ~ spl2_258 ),
inference(constrained_superposition,[],[f46525,f7258]) ).
thf(f62250,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_169
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f62225]) ).
thf(f62255,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_20
| ~ spl2_47
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f62236]) ).
thf(f62262,plain,
( spl2_594
| ~ spl2_169
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f62250,f7257,f5313,f61229]) ).
thf(f62264,plain,
( $false
| ~ spl2_20
| ~ spl2_47
| ~ spl2_180
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f62255,f5477]) ).
thf(f62265,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_180
| ~ spl2_258 ),
inference(avatar_contradiction_clause,[],[f62264]) ).
thf(f62271,plain,
( $false
| ~ spl2_123
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f24914,f61977]) ).
thf(f62272,plain,
( ~ spl2_123
| spl2_301 ),
inference(avatar_contradiction_clause,[],[f62271]) ).
thf(f62273,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_172
| spl2_208 ),
inference(forward_subsumption_resolution,[],[f48428,f13433]) ).
thf(f62274,plain,
( ~ spl2_324
| spl2_304
| ~ spl2_172
| spl2_208 ),
inference(avatar_split_clause,[],[f62273,f5752,f5324,f10696,f12576]) ).
thf(f62323,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_258
| ~ spl2_549 ),
inference(constrained_superposition,[],[f55816,f7258]) ).
thf(f62325,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_258
| ~ spl2_548 ),
inference(constrained_superposition,[],[f55968,f7258]) ).
thf(f62333,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_258 ),
inference(constrained_superposition,[],[f41497,f7258]) ).
thf(f62338,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f62333]) ).
thf(f62346,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_258
| ~ spl2_549 ),
inference(trivial_inequality_removal,[],[f62323]) ).
thf(f62348,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_258
| ~ spl2_548 ),
inference(trivial_inequality_removal,[],[f62325]) ).
thf(f62580,plain,
( spl2_188
| spl2_594
| ~ spl2_258
| ~ spl2_548 ),
inference(avatar_split_clause,[],[f62348,f55549,f7257,f61229,f5498]) ).
thf(f62607,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_188
| ~ spl2_532 ),
inference(constrained_superposition,[],[f51838,f5499]) ).
thf(f62610,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_188 ),
inference(constrained_superposition,[],[f41497,f5499]) ).
thf(f62615,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f62610]) ).
thf(f62628,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_188
| ~ spl2_532 ),
inference(trivial_inequality_removal,[],[f62607]) ).
thf(f62633,plain,
( $false
| ~ spl2_20
| ~ spl2_188
| ~ spl2_532 ),
inference(forward_subsumption_resolution,[],[f62628,f247]) ).
thf(f62634,plain,
( ~ spl2_20
| ~ spl2_188
| ~ spl2_532 ),
inference(avatar_contradiction_clause,[],[f62633]) ).
thf(f62659,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_44
| ~ spl2_194 ),
inference(constrained_superposition,[],[f632,f5705]) ).
thf(f62663,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_44
| ~ spl2_194
| ~ spl2_454 ),
inference(constrained_superposition,[],[f53337,f5705]) ).
thf(f62676,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_44
| ~ spl2_194
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f62663]) ).
thf(f62683,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f62659]) ).
thf(f62692,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_38
| ~ spl2_44
| ~ spl2_194
| ~ spl2_211
| ~ spl2_454 ),
inference(forward_subsumption_resolution,[],[f62676,f46886]) ).
thf(f62693,plain,
( spl2_543
| ~ spl2_44
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f62683,f5704,f631,f54762]) ).
thf(f62694,plain,
( spl2_545
| ~ spl2_38
| ~ spl2_44
| ~ spl2_194
| ~ spl2_211
| ~ spl2_454 ),
inference(avatar_split_clause,[],[f62692,f35796,f5763,f5704,f631,f429,f54776]) ).
thf(f62700,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_198
| ~ spl2_505 ),
inference(constrained_superposition,[],[f42534,f5718]) ).
thf(f62715,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_198 ),
inference(constrained_superposition,[],[f41497,f5718]) ).
thf(f62735,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_198
| ~ spl2_505 ),
inference(trivial_inequality_removal,[],[f62700]) ).
thf(f62739,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f62715]) ).
thf(f62938,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_181
| ~ spl2_355 ),
inference(constrained_superposition,[],[f47035,f18373]) ).
thf(f62940,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_355 ),
inference(constrained_superposition,[],[f41497,f18373]) ).
thf(f62945,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_181
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f62938]) ).
thf(f62953,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f62940]) ).
thf(f62962,plain,
( $false
| ~ spl2_38
| ~ spl2_181
| ~ spl2_250
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f62945,f11450]) ).
thf(f62963,plain,
( ~ spl2_38
| ~ spl2_181
| ~ spl2_250
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f62962]) ).
thf(f62965,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_250
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f62953,f11450]) ).
thf(f62971,plain,
( $false
| ~ spl2_38
| spl2_191
| ~ spl2_250
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f62965,f6694]) ).
thf(f62972,plain,
( ~ spl2_38
| spl2_191
| ~ spl2_250
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f62971]) ).
thf(f63062,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_590 ),
inference(constrained_superposition,[],[f52263,f61129]) ).
thf(f63071,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_590 ),
inference(constrained_superposition,[],[f48047,f61129]) ).
thf(f63080,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_4
| ~ spl2_590 ),
inference(constrained_superposition,[],[f52273,f61129]) ).
thf(f63081,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_4
| ~ spl2_590 ),
inference(constrained_superposition,[],[f56122,f61129]) ).
thf(f63089,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_590 ),
inference(constrained_superposition,[],[f50625,f61129]) ).
thf(f63109,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f63080]) ).
thf(f63111,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f63089]) ).
thf(f63118,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f63062]) ).
thf(f63130,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_4
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f63081]) ).
thf(f63135,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f63071]) ).
thf(f63270,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_401
| ~ spl2_549 ),
inference(constrained_superposition,[],[f26245,f55556]) ).
thf(f63339,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_401
| ~ spl2_549 ),
inference(trivial_inequality_removal,[],[f63270]) ).
thf(f63446,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_586 ),
inference(constrained_superposition,[],[f52263,f61114]) ).
thf(f63454,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_156
| ~ spl2_586 ),
inference(constrained_superposition,[],[f48022,f61114]) ).
thf(f63479,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_586 ),
inference(constrained_superposition,[],[f50777,f61114]) ).
thf(f63480,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_586 ),
inference(constrained_superposition,[],[f52094,f61114]) ).
thf(f63484,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f63446]) ).
thf(f63500,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_156
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f63454]) ).
thf(f63515,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f63479]) ).
thf(f63521,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_4
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f63480]) ).
thf(f63546,plain,
( spl2_606
| spl2_202
| ~ spl2_244
| ~ spl2_549 ),
inference(avatar_split_clause,[],[f62059,f55555,f6684,f5731,f62074]) ).
thf(f63549,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f63111,f41]) ).
thf(f63557,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_4
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f52854,f421]) ).
thf(f63558,plain,
( spl2_130
| spl2_92
| ~ spl2_98
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f48145,f10832,f2724,f2448,f3395]) ).
thf(f63559,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f56847,f41]) ).
thf(f63564,definition,
( spl2_613
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_613])],[avatar_definition]) ).
thf(f63565,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_613 ),
inference(avatar_component_clause,[],[f63564]) ).
thf(f63568,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f56177,f41]) ).
thf(f63582,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f63130,f41]) ).
thf(f63606,plain,
( spl2_180
| spl2_181
| ~ spl2_203
| ~ spl2_156
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f63500,f61113,f4053,f5734,f5428,f5425]) ).
thf(f63614,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_105
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f46526,f4033]) ).
thf(f63618,definition,
( spl2_621
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_621])],[avatar_definition]) ).
thf(f63619,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_621 ),
inference(avatar_component_clause,[],[f63618]) ).
thf(f63620,plain,
( spl2_84
| spl2_621 ),
inference(avatar_split_clause,[],[f55508,f63618,f2310]) ).
thf(f63628,plain,
( spl2_594
| spl2_180
| ~ spl2_258
| ~ spl2_549 ),
inference(avatar_split_clause,[],[f62346,f55555,f7257,f5425,f61229]) ).
thf(f63629,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f63109,f41]) ).
thf(f63635,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f63521,f49]) ).
thf(f63644,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f58294,f41]) ).
thf(f63648,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_44
| ~ spl2_47
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f54103,f692]) ).
thf(f63652,plain,
( spl2_180
| ~ spl2_141
| spl2_181
| ~ spl2_4
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f63135,f61128,f89,f5428,f3617,f5425]) ).
thf(f63667,plain,
( ~ spl2_181
| spl2_17
| ~ spl2_38
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f62338,f7257,f429,f219,f5428]) ).
thf(f63675,definition,
( spl2_625
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_625])],[avatar_definition]) ).
thf(f63676,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_625 ),
inference(avatar_component_clause,[],[f63675]) ).
thf(f63683,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_4
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f63515,f49]) ).
thf(f63699,definition,
( spl2_627
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_627])],[avatar_definition]) ).
thf(f63700,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_627 ),
inference(avatar_component_clause,[],[f63699]) ).
thf(f63708,plain,
( spl2_208
| ~ spl2_324
| spl2_304
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f48428,f5324,f10696,f12576,f5752]) ).
thf(f63710,definition,
( spl2_629
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_629])],[avatar_definition]) ).
thf(f63711,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_629 ),
inference(avatar_component_clause,[],[f63710]) ).
thf(f63713,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f58168,f41]) ).
thf(f63714,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_4
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f50789,f421]) ).
thf(f63715,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_98
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f56250,f4033]) ).
thf(f63716,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f63484,f41]) ).
thf(f63722,plain,
( ~ spl2_31
| ~ spl2_20
| ~ spl2_198
| ~ spl2_505 ),
inference(avatar_split_clause,[],[f62735,f42533,f5717,f246,f379]) ).
thf(f63734,plain,
( spl2_118
| spl2_84
| ~ spl2_4
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f48046,f2724,f89,f2310,f3310]) ).
thf(f63744,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f58071,f2725]) ).
thf(f63746,plain,
( ~ spl2_211
| spl2_17
| ~ spl2_38
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f62739,f5717,f429,f219,f5763]) ).
thf(f63748,plain,
( ~ spl2_7
| spl2_6
| spl2_5 ),
inference(avatar_split_clause,[],[f58436,f92,f95,f113]) ).
thf(f63751,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_107
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f49566,f4033]) ).
thf(f63752,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f52307,f41]) ).
thf(f63765,plain,
( spl2_180
| ~ spl2_92
| ~ spl2_401
| ~ spl2_549 ),
inference(avatar_split_clause,[],[f63339,f55555,f26244,f2448,f5425]) ).
thf(f63768,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f63118,f41]) ).
thf(f63775,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_40
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f52836,f513]) ).
thf(f63776,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f56874,f41]) ).
thf(f63778,plain,
( ~ spl2_31
| spl2_191
| ~ spl2_38
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f62615,f5498,f429,f5519,f379]) ).
thf(f63786,plain,
( spl2_558
| spl2_20
| spl2_31
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f53998,f4053,f379,f246,f58092]) ).
thf(f63799,plain,
( spl2_202
| ~ spl2_191
| spl2_180
| spl2_186
| ~ spl2_4
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f63549,f61128,f89,f5491,f5425,f5519,f5731]) ).
thf(f63808,plain,
( spl2_71
| spl2_84
| ~ spl2_4
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f63557,f2724,f89,f2310,f1881]) ).
thf(f63809,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f63559,f41]) ).
thf(f63811,definition,
( spl2_637
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_637])],[avatar_definition]) ).
thf(f63812,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_637 ),
inference(avatar_component_clause,[],[f63811]) ).
thf(f63819,plain,
( spl2_147
| spl2_20
| spl2_31
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f63568,f89,f379,f246,f3934]) ).
thf(f63821,plain,
( spl2_181
| spl2_192
| spl2_180
| spl2_202
| ~ spl2_4
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f63582,f61128,f89,f5731,f5425,f5522,f5428]) ).
thf(f63832,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_105
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f63614,f41]) ).
thf(f63835,plain,
( spl2_181
| spl2_254
| spl2_192
| spl2_202
| ~ spl2_4
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f63629,f61128,f89,f5731,f5522,f7068,f5428]) ).
thf(f63839,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f63635,f41]) ).
thf(f63843,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| spl2_149
| ~ spl2_557 ),
inference(forward_subsumption_resolution,[],[f63644,f4033]) ).
thf(f63850,plain,
( spl2_104
| spl2_31
| ~ spl2_4
| ~ spl2_44
| ~ spl2_47
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f63648,f4053,f691,f631,f89,f379,f2755]) ).
thf(f63871,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f63683,f41]) ).
thf(f63878,definition,
( spl2_643
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_643])],[avatar_definition]) ).
thf(f63879,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_643 ),
inference(avatar_component_clause,[],[f63878]) ).
thf(f63881,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| spl2_308
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f63713,f10904]) ).
thf(f63882,plain,
( spl2_84
| spl2_70
| ~ spl2_4
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f63714,f2724,f89,f1553,f2310]) ).
thf(f63883,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_98
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f63715,f41]) ).
thf(f63884,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f63716,f41]) ).
thf(f63894,definition,
( spl2_644
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_644])],[avatar_definition]) ).
thf(f63895,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_644 ),
inference(avatar_component_clause,[],[f63894]) ).
thf(f63897,definition,
( spl2_645
<=> ! [X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_645])],[avatar_definition]) ).
thf(f63898,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_645 ),
inference(avatar_component_clause,[],[f63897]) ).
thf(f63899,plain,
( spl2_644
| spl2_645
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f63744,f2724,f63897,f63894]) ).
thf(f63904,definition,
( spl2_646
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_646])],[avatar_definition]) ).
thf(f63905,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_646 ),
inference(avatar_component_clause,[],[f63904]) ).
thf(f63906,plain,
( spl2_21
| spl2_646
| ~ spl2_47
| ~ spl2_107
| spl2_149 ),
inference(avatar_split_clause,[],[f63751,f4018,f2805,f691,f63904,f249]) ).
thf(f63907,plain,
( spl2_147
| spl2_31
| spl2_21
| spl2_29
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f63752,f89,f350,f249,f379,f3934]) ).
thf(f63914,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f63768,f41]) ).
thf(f63917,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_40
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f63775,f41]) ).
thf(f63918,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f63776,f41]) ).
thf(f63934,plain,
( ~ spl2_17
| spl2_145
| spl2_20
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f63809,f89,f246,f3911,f219]) ).
thf(f63937,plain,
( spl2_21
| spl2_646
| ~ spl2_47
| ~ spl2_105
| spl2_149 ),
inference(avatar_split_clause,[],[f63832,f4018,f2759,f691,f63904,f249]) ).
thf(f63940,plain,
( spl2_181
| spl2_206
| spl2_180
| spl2_186
| ~ spl2_4
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f63839,f61113,f89,f5491,f5425,f5745,f5428]) ).
thf(f63942,plain,
( spl2_646
| ~ spl2_47
| spl2_149
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f63843,f58089,f4018,f691,f63904]) ).
thf(f63950,plain,
( spl2_206
| spl2_181
| spl2_254
| spl2_186
| ~ spl2_4
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f63871,f61113,f89,f5491,f7068,f5428,f5745]) ).
thf(f63956,plain,
( spl2_104
| ~ spl2_44
| spl2_308
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f63881,f58085,f10829,f631,f2755]) ).
thf(f63957,plain,
( spl2_84
| spl2_71
| ~ spl2_98
| spl2_149 ),
inference(avatar_split_clause,[],[f63883,f4018,f2724,f1881,f2310]) ).
thf(f63958,plain,
( spl2_180
| spl2_206
| ~ spl2_191
| ~ spl2_4
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f63884,f61113,f89,f5519,f5745,f5425]) ).
thf(f63964,plain,
( spl2_180
| spl2_202
| ~ spl2_191
| ~ spl2_4
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f63914,f61128,f89,f5519,f5731,f5425]) ).
thf(f63966,plain,
( spl2_118
| spl2_84
| spl2_40
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f63917,f2724,f512,f2310,f3310]) ).
thf(f63967,plain,
( spl2_31
| spl2_145
| spl2_29
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f63918,f89,f350,f3911,f379]) ).
thf(f63972,definition,
( spl2_650
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_650])],[avatar_definition]) ).
thf(f63973,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_650 ),
inference(avatar_component_clause,[],[f63972]) ).
thf(f64006,plain,
( spl2_558
| ~ spl2_17
| spl2_557 ),
inference(avatar_split_clause,[],[f58070,f58089,f219,f58092]) ).
thf(f64013,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_31
| ~ spl2_38 ),
inference(constrained_superposition,[],[f430,f2734]) ).
thf(f64016,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f64013]) ).
thf(f64042,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_20
| ~ spl2_107 ),
inference(constrained_superposition,[],[f7197,f2806]) ).
thf(f64047,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_20
| ~ spl2_105 ),
inference(constrained_superposition,[],[f7197,f2760]) ).
thf(f64058,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_20
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f64042]) ).
thf(f64061,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_20
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f64047]) ).
thf(f64064,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_20
| ~ spl2_107
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f64058,f4033]) ).
thf(f64066,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_20
| ~ spl2_105
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f64061,f4033]) ).
thf(f64068,plain,
( spl2_21
| spl2_20
| ~ spl2_107
| spl2_149 ),
inference(avatar_split_clause,[],[f64064,f4018,f2805,f246,f249]) ).
thf(f64069,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| spl2_20
| ~ spl2_105
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f64066,f49]) ).
thf(f64070,plain,
( $false
| spl2_20
| ~ spl2_105
| spl2_149 ),
inference(forward_subsumption_resolution,[],[f64069,f41]) ).
thf(f64071,plain,
( spl2_20
| ~ spl2_105
| spl2_149 ),
inference(avatar_contradiction_clause,[],[f64070]) ).
thf(f64073,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f56252,f41]) ).
thf(f64074,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_44
| ~ spl2_98
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f58711,f10904]) ).
thf(f64078,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_44
| spl2_93
| ~ spl2_98
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f64074,f61055]) ).
thf(f64082,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X1 ) )
| ~ spl2_44
| spl2_93
| ~ spl2_98
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f64078,f41]) ).
thf(f64085,plain,
( spl2_105
| spl2_346
| ~ spl2_44
| spl2_93
| ~ spl2_98
| spl2_308 ),
inference(avatar_split_clause,[],[f64082,f10829,f2724,f2451,f631,f16859,f2759]) ).
thf(f64123,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f96,f77]) ).
thf(f64125,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f64123]) ).
thf(f64128,plain,
( spl2_555
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f64125,f95,f58082]) ).
thf(f64262,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_31
| ~ spl2_38
| ~ spl2_198 ),
inference(constrained_superposition,[],[f64016,f5718]) ).
thf(f64286,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_31
| ~ spl2_38
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f64262]) ).
thf(f64288,plain,
( ~ spl2_211
| ~ spl2_31
| ~ spl2_38
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f64286,f5717,f429,f379,f5763]) ).
thf(f64327,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_203
| ~ spl2_309 ),
inference(constrained_superposition,[],[f10833,f5800]) ).
thf(f64363,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_203
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f64327]) ).
thf(f64387,plain,
( spl2_216
| spl2_194
| ~ spl2_203
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f64363,f10832,f5734,f5704,f5854]) ).
thf(f64454,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_178
| ~ spl2_646 ),
inference(constrained_superposition,[],[f63905,f5382]) ).
thf(f64455,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_258
| ~ spl2_646 ),
inference(constrained_superposition,[],[f63905,f7258]) ).
thf(f64456,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_198
| ~ spl2_646 ),
inference(constrained_superposition,[],[f63905,f5718]) ).
thf(f64474,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_258
| ~ spl2_646 ),
inference(trivial_inequality_removal,[],[f64455]) ).
thf(f64478,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_198
| ~ spl2_646 ),
inference(trivial_inequality_removal,[],[f64456]) ).
thf(f64480,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_178
| ~ spl2_646 ),
inference(trivial_inequality_removal,[],[f64454]) ).
thf(f64483,plain,
( $false
| ~ spl2_180
| ~ spl2_258
| ~ spl2_646 ),
inference(forward_subsumption_resolution,[],[f64474,f5477]) ).
thf(f64484,plain,
( ~ spl2_180
| ~ spl2_258
| ~ spl2_646 ),
inference(avatar_contradiction_clause,[],[f64483]) ).
thf(f64485,plain,
( ~ spl2_206
| ~ spl2_198
| ~ spl2_646 ),
inference(avatar_split_clause,[],[f64478,f63904,f5717,f5745]) ).
thf(f64486,plain,
( $false
| ~ spl2_84
| ~ spl2_178
| ~ spl2_646 ),
inference(forward_subsumption_resolution,[],[f64480,f2311]) ).
thf(f64487,plain,
( ~ spl2_84
| ~ spl2_178
| ~ spl2_646 ),
inference(avatar_contradiction_clause,[],[f64486]) ).
thf(f64517,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_246
| ~ spl2_548 ),
inference(constrained_superposition,[],[f55968,f6698]) ).
thf(f64530,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_246
| ~ spl2_548 ),
inference(trivial_inequality_removal,[],[f64517]) ).
thf(f64540,definition,
( spl2_661
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_661])],[avatar_definition]) ).
thf(f64541,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_661 ),
inference(avatar_component_clause,[],[f64540]) ).
thf(f64542,plain,
( spl2_194
| spl2_661
| ~ spl2_246
| ~ spl2_548 ),
inference(avatar_split_clause,[],[f64530,f55549,f6697,f64540,f5704]) ).
thf(f64544,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_301
| ~ spl2_548 ),
inference(constrained_superposition,[],[f24914,f55550]) ).
thf(f64545,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_301
| ~ spl2_549 ),
inference(constrained_superposition,[],[f24914,f55556]) ).
thf(f64547,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_78
| spl2_301 ),
inference(constrained_superposition,[],[f24914,f51845]) ).
thf(f64551,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78
| spl2_301 ),
inference(constrained_superposition,[],[f24914,f50635]) ).
thf(f64557,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112
| spl2_301 ),
inference(constrained_superposition,[],[f24914,f2972]) ).
thf(f64560,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78
| spl2_301 ),
inference(trivial_inequality_removal,[],[f64547]) ).
thf(f64562,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_112
| spl2_301 ),
inference(trivial_inequality_removal,[],[f64557]) ).
thf(f64565,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_301
| ~ spl2_549 ),
inference(trivial_inequality_removal,[],[f64545]) ).
thf(f64570,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_301
| ~ spl2_548 ),
inference(trivial_inequality_removal,[],[f64544]) ).
thf(f64572,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78
| spl2_301 ),
inference(trivial_inequality_removal,[],[f64551]) ).
thf(f64575,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f64560,f41]) ).
thf(f64577,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_112
| spl2_202
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f64562,f9495]) ).
thf(f64580,plain,
( $false
| spl2_202
| spl2_301
| ~ spl2_549 ),
inference(forward_subsumption_resolution,[],[f64565,f9495]) ).
thf(f64581,plain,
( spl2_202
| spl2_301
| ~ spl2_549 ),
inference(avatar_contradiction_clause,[],[f64580]) ).
thf(f64586,plain,
( $false
| spl2_204
| spl2_301
| ~ spl2_548 ),
inference(forward_subsumption_resolution,[],[f64570,f11315]) ).
thf(f64587,plain,
( spl2_204
| spl2_301
| ~ spl2_548 ),
inference(avatar_contradiction_clause,[],[f64586]) ).
thf(f64589,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78
| spl2_83
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f64572,f5264]) ).
thf(f64592,plain,
( $false
| ~ spl2_78
| spl2_204
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f64575,f11315]) ).
thf(f64593,plain,
( ~ spl2_78
| spl2_204
| spl2_301 ),
inference(avatar_contradiction_clause,[],[f64592]) ).
thf(f64595,plain,
( spl2_300
| spl2_192
| ~ spl2_112
| spl2_202
| spl2_301 ),
inference(avatar_split_clause,[],[f64577,f10415,f5731,f2971,f5522,f10412]) ).
thf(f64602,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_78
| spl2_83
| spl2_204
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f64589,f11315]) ).
thf(f64614,plain,
( spl2_21
| ~ spl2_78
| spl2_83
| spl2_204
| spl2_301 ),
inference(avatar_split_clause,[],[f64602,f10415,f5738,f2307,f2284,f249]) ).
thf(f64698,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(constrained_superposition,[],[f52271,f5311]) ).
thf(f64699,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_168 ),
inference(constrained_superposition,[],[f52263,f5311]) ).
thf(f64706,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_156
| ~ spl2_168 ),
inference(constrained_superposition,[],[f48022,f5311]) ).
thf(f64707,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(constrained_superposition,[],[f48047,f5311]) ).
thf(f64708,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(constrained_superposition,[],[f50178,f5311]) ).
thf(f64711,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f83,f5311]) ).
thf(f64713,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f1444,f5311]) ).
thf(f64723,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(constrained_superposition,[],[f50778,f5311]) ).
thf(f64724,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(constrained_superposition,[],[f50625,f5311]) ).
thf(f64730,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(constrained_superposition,[],[f50777,f5311]) ).
thf(f64737,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f64724]) ).
thf(f64742,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f64723]) ).
thf(f64743,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f64708]) ).
thf(f64751,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f64707]) ).
thf(f64752,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f64730]) ).
thf(f64755,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_4
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f64699]) ).
thf(f64758,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_156
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f64706]) ).
thf(f64760,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f64713]) ).
thf(f64763,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f64711]) ).
thf(f64764,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f64698]) ).
thf(f64810,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_191
| ~ spl2_555 ),
inference(constrained_superposition,[],[f58083,f5520]) ).
thf(f64811,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_203
| ~ spl2_555 ),
inference(constrained_superposition,[],[f58083,f5800]) ).
thf(f64813,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_555 ),
inference(constrained_superposition,[],[f58083,f29]) ).
thf(f64815,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_191
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f64810]) ).
thf(f64816,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f64813]) ).
thf(f64819,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_203
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f64811]) ).
thf(f64820,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_555 ),
inference(forward_subsumption_resolution,[],[f64816,f41]) ).
thf(f64821,plain,
( spl2_650
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f64820,f58082,f63972]) ).
thf(f64866,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_208
| ~ spl2_345 ),
inference(constrained_superposition,[],[f16020,f5753]) ).
thf(f64878,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_208
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f64866]) ).
thf(f64890,plain,
( spl2_206
| ~ spl2_203
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f64819,f58082,f5734,f5745]) ).
thf(f64895,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f56878,f41]) ).
thf(f64906,plain,
( spl2_92
| spl2_107
| spl2_308
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f64073,f2724,f10829,f2805,f2448]) ).
thf(f64908,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f64742,f41]) ).
thf(f64910,definition,
( spl2_666
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_666])],[avatar_definition]) ).
thf(f64911,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_666 ),
inference(avatar_component_clause,[],[f64910]) ).
thf(f64912,plain,
( spl2_92
| spl2_666 ),
inference(avatar_split_clause,[],[f55511,f64910,f2448]) ).
thf(f64914,plain,
( spl2_308
| spl2_20
| spl2_558
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f53981,f4057,f58092,f246,f10829]) ).
thf(f64915,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| spl2_83
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f52616,f5264]) ).
thf(f64923,plain,
( ~ spl2_206
| ~ spl2_208
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f64878,f16019,f5752,f5745]) ).
thf(f64925,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| spl2_83
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f64752,f5264]) ).
thf(f64926,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f64764,f41]) ).
thf(f64928,definition,
( spl2_668
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_668])],[avatar_definition]) ).
thf(f64929,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_668 ),
inference(avatar_component_clause,[],[f64928]) ).
thf(f64930,plain,
( spl2_668
| spl2_178 ),
inference(avatar_split_clause,[],[f55525,f5381,f64928]) ).
thf(f64937,plain,
( spl2_180
| ~ spl2_191
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f64815,f58082,f5519,f5425]) ).
thf(f64946,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| spl2_83
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f64908,f5264]) ).
thf(f64947,plain,
( spl2_94
| spl2_96
| ~ spl2_4
| spl2_83
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f64915,f2724,f2307,f89,f2538,f2531]) ).
thf(f64952,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f64926,f41]) ).
thf(f64960,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| spl2_83
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f64946,f41]) ).
thf(f64980,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f56818,f41]) ).
thf(f64991,plain,
( spl2_94
| spl2_180
| spl2_110
| ~ spl2_4
| spl2_83
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f64960,f5310,f2307,f89,f2964,f5425,f2531]) ).
thf(f64996,definition,
( spl2_671
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_671])],[avatar_definition]) ).
thf(f64997,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_671 ),
inference(avatar_component_clause,[],[f64996]) ).
thf(f64998,plain,
( spl2_671
| spl2_110 ),
inference(avatar_split_clause,[],[f55522,f2964,f64996]) ).
thf(f65001,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f64895,f41]) ).
thf(f65006,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| spl2_83
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f64925,f41]) ).
thf(f65008,plain,
( spl2_180
| spl2_110
| spl2_94
| ~ spl2_4
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f64952,f5310,f89,f2531,f2964,f5425]) ).
thf(f65009,plain,
( spl2_94
| ~ spl2_247
| spl2_110
| ~ spl2_4
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f64743,f5310,f89,f2964,f6703,f2531]) ).
thf(f65010,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| spl2_83 ),
inference(forward_subsumption_resolution,[],[f64980,f5264]) ).
thf(f65022,plain,
( spl2_549
| spl2_94
| spl2_110
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f65001,f89,f2964,f2531,f55555]) ).
thf(f65023,plain,
( spl2_186
| spl2_180
| spl2_110
| spl2_94
| ~ spl2_4
| spl2_83
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f65006,f5310,f2307,f89,f2531,f2964,f5425,f5491]) ).
thf(f65024,plain,
( spl2_110
| spl2_549
| spl2_94
| ~ spl2_4
| spl2_83 ),
inference(avatar_split_clause,[],[f65010,f2307,f89,f2531,f55555,f2964]) ).
thf(f65050,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_20
| ~ spl2_47 ),
inference(constrained_superposition,[],[f692,f247]) ).
thf(f65062,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f65050]) ).
thf(f65072,plain,
( spl2_646
| ~ spl2_20
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f65062,f691,f246,f63904]) ).
thf(f65108,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_183 ),
inference(constrained_superposition,[],[f5481,f51]) ).
thf(f65111,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_183 ),
inference(trivial_inequality_removal,[],[f65108]) ).
thf(f65308,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_255
| ~ spl2_345 ),
inference(constrained_superposition,[],[f16020,f7073]) ).
thf(f65316,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_255
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f65308]) ).
thf(f65493,plain,
( ~ spl2_180
| ~ spl2_255
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f65316,f16019,f7072,f5425]) ).
thf(f65800,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_4
| ~ spl2_587 ),
inference(constrained_superposition,[],[f52263,f61118]) ).
thf(f65801,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_221
| ~ spl2_587 ),
inference(constrained_superposition,[],[f5874,f61118]) ).
thf(f65802,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_216
| ~ spl2_587 ),
inference(constrained_superposition,[],[f5855,f61118]) ).
thf(f65803,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_172
| ~ spl2_587 ),
inference(constrained_superposition,[],[f45875,f61118]) ).
thf(f65811,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_156
| ~ spl2_587 ),
inference(constrained_superposition,[],[f48022,f61118]) ).
thf(f65822,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_587 ),
inference(constrained_superposition,[],[f56122,f61118]) ).
thf(f65825,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_587 ),
inference(constrained_superposition,[],[f50626,f61118]) ).
thf(f65841,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_216
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f65802]) ).
thf(f65849,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_156
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f65811]) ).
thf(f65852,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_4
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f65822]) ).
thf(f65860,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_221
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f65801]) ).
thf(f65863,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f65803]) ).
thf(f65865,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_4
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f65800]) ).
thf(f65869,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f65825]) ).
thf(f65880,plain,
( $false
| ~ spl2_191
| ~ spl2_216
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65841,f5520]) ).
thf(f65881,plain,
( ~ spl2_191
| ~ spl2_216
| ~ spl2_587 ),
inference(avatar_contradiction_clause,[],[f65880]) ).
thf(f65884,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_156
| ~ spl2_191
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65849,f5520]) ).
thf(f65885,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_4
| spl2_211
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65852,f5794]) ).
thf(f65892,plain,
( ~ spl2_247
| ~ spl2_221
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f65860,f61117,f5873,f6703]) ).
thf(f65894,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172
| ~ spl2_587
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f65863,f61125]) ).
thf(f65895,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_4
| spl2_180
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65865,f5426]) ).
thf(f65898,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| spl2_206
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65869,f12453]) ).
thf(f65904,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_156
| ~ spl2_191
| spl2_206
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65884,f12453]) ).
thf(f65905,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| spl2_180
| spl2_211
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65885,f5426]) ).
thf(f65909,plain,
( spl2_601
| ~ spl2_172
| ~ spl2_587
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f65894,f61124,f61117,f5324,f61833]) ).
thf(f65910,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_4
| spl2_180
| spl2_206
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65895,f12453]) ).
thf(f65913,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_203
| spl2_206
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65898,f5800]) ).
thf(f65919,plain,
( $false
| ~ spl2_156
| ~ spl2_191
| spl2_206
| spl2_211
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65904,f5794]) ).
thf(f65920,plain,
( ~ spl2_156
| ~ spl2_191
| spl2_206
| spl2_211
| ~ spl2_587 ),
inference(avatar_contradiction_clause,[],[f65919]) ).
thf(f65921,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| spl2_180
| spl2_211
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65905,f41]) ).
thf(f65924,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| spl2_180
| spl2_206
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65910,f41]) ).
thf(f65926,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| spl2_180
| ~ spl2_203
| spl2_206
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65913,f5426]) ).
thf(f65930,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| spl2_180
| spl2_206
| spl2_211
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65921,f12453]) ).
thf(f65932,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| spl2_180
| spl2_206
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65924,f41]) ).
thf(f65933,plain,
( spl2_212
| ~ spl2_4
| spl2_180
| ~ spl2_203
| spl2_206
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f65926,f61117,f5745,f5734,f5425,f89,f5767]) ).
thf(f65936,plain,
( spl2_186
| ~ spl2_4
| spl2_180
| spl2_206
| spl2_211
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f65930,f61117,f5763,f5745,f5425,f89,f5491]) ).
thf(f65938,plain,
( $false
| ~ spl2_4
| spl2_180
| ~ spl2_203
| spl2_206
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f65932,f5800]) ).
thf(f65939,plain,
( ~ spl2_4
| spl2_180
| ~ spl2_203
| spl2_206
| ~ spl2_587 ),
inference(avatar_contradiction_clause,[],[f65938]) ).
thf(f65966,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_98
| ~ spl2_558 ),
inference(constrained_superposition,[],[f58093,f2725]) ).
thf(f65968,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_203
| ~ spl2_558 ),
inference(constrained_superposition,[],[f58093,f5800]) ).
thf(f65973,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_98
| ~ spl2_558 ),
inference(trivial_inequality_removal,[],[f65966]) ).
thf(f65975,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_203
| ~ spl2_558 ),
inference(trivial_inequality_removal,[],[f65968]) ).
thf(f65980,plain,
( $false
| spl2_92
| ~ spl2_98
| ~ spl2_558 ),
inference(forward_subsumption_resolution,[],[f65973,f11200]) ).
thf(f65981,plain,
( spl2_92
| ~ spl2_98
| ~ spl2_558 ),
inference(avatar_contradiction_clause,[],[f65980]) ).
thf(f65983,plain,
( $false
| spl2_194
| ~ spl2_203
| ~ spl2_558 ),
inference(forward_subsumption_resolution,[],[f65975,f13432]) ).
thf(f65984,plain,
( spl2_194
| ~ spl2_203
| ~ spl2_558 ),
inference(avatar_contradiction_clause,[],[f65983]) ).
thf(f66027,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_246
| ~ spl2_543 ),
inference(constrained_superposition,[],[f54763,f6698]) ).
thf(f66057,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_246
| ~ spl2_543 ),
inference(trivial_inequality_removal,[],[f66027]) ).
thf(f66076,plain,
( $false
| ~ spl2_29
| ~ spl2_246
| ~ spl2_543 ),
inference(forward_subsumption_resolution,[],[f66057,f351]) ).
thf(f66077,plain,
( ~ spl2_29
| ~ spl2_246
| ~ spl2_543 ),
inference(avatar_contradiction_clause,[],[f66076]) ).
thf(f66190,plain,
( spl2_226
| ~ spl2_139
| spl2_308
| spl2_204
| spl2_83 ),
inference(avatar_split_clause,[],[f58045,f2307,f5738,f10829,f3611,f5973]) ).
thf(f66197,definition,
( spl2_677
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_677])],[avatar_definition]) ).
thf(f66198,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_677 ),
inference(avatar_component_clause,[],[f66197]) ).
thf(f66201,definition,
( spl2_678
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_678])],[avatar_definition]) ).
thf(f66202,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_678 ),
inference(avatar_component_clause,[],[f66201]) ).
thf(f66245,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_139
| ~ spl2_240 ),
inference(constrained_superposition,[],[f7687,f5793]) ).
thf(f66246,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_4
| ~ spl2_139 ),
inference(constrained_superposition,[],[f47638,f5793]) ).
thf(f66252,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_4
| ~ spl2_139 ),
inference(constrained_superposition,[],[f52266,f5793]) ).
thf(f66283,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f66245]) ).
thf(f66287,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f66246]) ).
thf(f66292,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f66252]) ).
thf(f66305,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| spl2_140
| ~ spl2_240 ),
inference(forward_subsumption_resolution,[],[f66283,f26276]) ).
thf(f66307,plain,
( spl2_229
| spl2_202
| ~ spl2_4
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f66287,f3611,f89,f5731,f5984]) ).
thf(f66309,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| ~ spl2_139 ),
inference(forward_subsumption_resolution,[],[f66292,f41]) ).
thf(f66311,plain,
( spl2_202
| ~ spl2_139
| spl2_140
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f66305,f6500,f3614,f3611,f5731]) ).
thf(f66312,plain,
( spl2_230
| spl2_202
| ~ spl2_4
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f66309,f3611,f89,f5731,f5988]) ).
thf(f66331,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_77 ),
inference(constrained_superposition,[],[f2282,f29]) ).
thf(f66334,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_77 ),
inference(trivial_inequality_removal,[],[f66331]) ).
thf(f66337,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_77
| spl2_93 ),
inference(forward_subsumption_resolution,[],[f66334,f61055]) ).
thf(f66339,plain,
( spl2_92
| spl2_77
| spl2_93 ),
inference(avatar_split_clause,[],[f66337,f2451,f2281,f2448]) ).
thf(f66404,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_47
| ~ spl2_202 ),
inference(constrained_superposition,[],[f692,f5732]) ).
thf(f66414,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f66404]) ).
thf(f66671,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_355
| ~ spl2_532 ),
inference(constrained_superposition,[],[f51838,f18373]) ).
thf(f66678,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_355
| ~ spl2_532 ),
inference(trivial_inequality_removal,[],[f66671]) ).
thf(f66685,plain,
( $false
| ~ spl2_202
| ~ spl2_355
| ~ spl2_532 ),
inference(forward_subsumption_resolution,[],[f66678,f5732]) ).
thf(f66686,plain,
( ~ spl2_202
| ~ spl2_355
| ~ spl2_532 ),
inference(avatar_contradiction_clause,[],[f66685]) ).
thf(f67295,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_179
| ~ spl2_586 ),
inference(constrained_superposition,[],[f5385,f61114]) ).
thf(f67338,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_179
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f67295]) ).
thf(f67372,plain,
( ~ spl2_205
| ~ spl2_179
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f67338,f61113,f5384,f5741]) ).
thf(f67383,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f201,f61118]) ).
thf(f67448,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f67383]) ).
thf(f67455,plain,
( ~ spl2_176
| spl2_198
| spl2_179
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f67448,f61117,f5384,f5717,f5374]) ).
thf(f67462,plain,
( ~ spl2_98
| spl2_644
| spl2_645 ),
inference(avatar_split_clause,[],[f58071,f63897,f63894,f2724]) ).
thf(f67475,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f64755,f5426]) ).
thf(f67476,plain,
( spl2_644
| spl2_110
| spl2_84
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f55509,f4053,f2310,f2964,f63894]) ).
thf(f67477,plain,
( spl2_175
| spl2_110
| ~ spl2_191
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f64760,f5310,f5519,f2964,f5370]) ).
thf(f67485,plain,
( ~ spl2_98
| spl2_645
| ~ spl2_191
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f64763,f5310,f5519,f63897,f2724]) ).
thf(f67488,plain,
( ~ spl2_191
| spl2_110
| spl2_84
| ~ spl2_156
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f64758,f5310,f4053,f2310,f2964,f5519]) ).
thf(f67498,plain,
( spl2_84
| ~ spl2_247
| spl2_110
| ~ spl2_4
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f64751,f5310,f89,f2964,f6703,f2310]) ).
thf(f67500,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f64737,f5426]) ).
thf(f67501,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f56842,f41]) ).
thf(f67507,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f67475,f41]) ).
thf(f67515,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f67500,f41]) ).
thf(f67516,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f67501,f41]) ).
thf(f67519,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f67507,f41]) ).
thf(f67523,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| spl2_83
| ~ spl2_168
| spl2_180 ),
inference(forward_subsumption_resolution,[],[f67515,f5264]) ).
thf(f67524,plain,
( spl2_549
| spl2_84
| ~ spl2_98
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f67516,f89,f2724,f2310,f55555]) ).
thf(f67525,plain,
( ~ spl2_98
| spl2_84
| ~ spl2_4
| ~ spl2_168
| spl2_180 ),
inference(avatar_split_clause,[],[f67519,f5425,f5310,f89,f2310,f2724]) ).
thf(f67527,plain,
( ~ spl2_98
| spl2_84
| ~ spl2_4
| spl2_83
| ~ spl2_168
| spl2_180 ),
inference(avatar_split_clause,[],[f67523,f5425,f5310,f2307,f89,f2310,f2724]) ).
thf(f67636,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_191
| ~ spl2_240 ),
inference(constrained_superposition,[],[f7687,f5520]) ).
thf(f67637,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(constrained_superposition,[],[f47638,f5520]) ).
thf(f67642,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(constrained_superposition,[],[f50129,f5520]) ).
thf(f67643,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(constrained_superposition,[],[f52266,f5520]) ).
thf(f67649,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(constrained_superposition,[],[f50628,f5520]) ).
thf(f67650,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(constrained_superposition,[],[f51110,f5520]) ).
thf(f67662,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_191
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f67636]) ).
thf(f67667,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f67643]) ).
thf(f67670,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f67649]) ).
thf(f67673,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f67637]) ).
thf(f67675,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f67650]) ).
thf(f67681,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f67642]) ).
thf(f67688,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_180
| ~ spl2_191
| ~ spl2_240 ),
inference(forward_subsumption_resolution,[],[f67662,f5426]) ).
thf(f67689,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f67667,f41]) ).
thf(f67693,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_4
| spl2_180
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f67673,f5426]) ).
thf(f67696,plain,
( spl2_258
| spl2_180
| ~ spl2_191
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f67688,f6500,f5519,f5425,f7257]) ).
thf(f67700,plain,
( spl2_189
| ~ spl2_4
| spl2_180
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f67693,f5519,f5425,f89,f5502]) ).
thf(f67736,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_203
| ~ spl2_240 ),
inference(constrained_superposition,[],[f7687,f5800]) ).
thf(f67737,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_203 ),
inference(constrained_superposition,[],[f47638,f5800]) ).
thf(f67742,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X0 ) )
| ~ spl2_4
| ~ spl2_203 ),
inference(constrained_superposition,[],[f50129,f5800]) ).
thf(f67743,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| ~ spl2_4
| ~ spl2_203 ),
inference(constrained_superposition,[],[f52266,f5800]) ).
thf(f67769,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f67737]) ).
thf(f67772,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
= $true ) )
| ~ spl2_4
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f67742]) ).
thf(f67778,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f67743]) ).
thf(f67780,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_203
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f67736]) ).
thf(f67794,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_203
| spl2_206
| ~ spl2_240 ),
inference(forward_subsumption_resolution,[],[f67780,f12453]) ).
thf(f67801,plain,
( spl2_198
| ~ spl2_203
| spl2_206
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f67794,f6500,f5745,f5734,f5717]) ).
thf(f67810,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_140
| ~ spl2_646 ),
inference(constrained_superposition,[],[f63905,f3615]) ).
thf(f67822,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_140
| ~ spl2_646 ),
inference(trivial_inequality_removal,[],[f67810]) ).
thf(f67832,plain,
( $false
| ~ spl2_140
| ~ spl2_202
| ~ spl2_646 ),
inference(forward_subsumption_resolution,[],[f67822,f5732]) ).
thf(f67833,plain,
( ~ spl2_140
| ~ spl2_202
| ~ spl2_646 ),
inference(avatar_contradiction_clause,[],[f67832]) ).
thf(f67867,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_258 ),
inference(constrained_superposition,[],[f27,f7258]) ).
thf(f67872,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f67867]) ).
thf(f67909,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f27,f5718]) ).
thf(f67914,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f67909]) ).
thf(f67926,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f27,f7073]) ).
thf(f67928,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f67926]) ).
thf(f67980,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_208 ),
inference(constrained_superposition,[],[f27,f5753]) ).
thf(f67984,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f67980]) ).
thf(f67992,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_47
| ~ spl2_202
| ~ spl2_371 ),
inference(constrained_superposition,[],[f66414,f20310]) ).
thf(f68000,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_47
| ~ spl2_202
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f67992]) ).
thf(f68023,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f1409,f61125]) ).
thf(f68032,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_74
| ~ spl2_589 ),
inference(constrained_superposition,[],[f2067,f61125]) ).
thf(f68063,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f68023]) ).
thf(f68072,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f68032]) ).
thf(f68089,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_250
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f68063,f6720]) ).
thf(f68090,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_74
| spl2_180
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f68072,f5426]) ).
thf(f68098,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_139
| spl2_180
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f68090,f5793]) ).
thf(f68102,plain,
( ~ spl2_141
| ~ spl2_74
| ~ spl2_139
| spl2_180
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f68098,f61124,f5425,f3611,f2066,f3617]) ).
thf(f68154,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f27,f5318]) ).
thf(f68162,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f68154]) ).
thf(f68164,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_172 ),
inference(constrained_superposition,[],[f52263,f5325]) ).
thf(f68209,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f68164]) ).
thf(f68338,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_177 ),
inference(constrained_superposition,[],[f5378,f76]) ).
thf(f68350,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_177 ),
inference(trivial_inequality_removal,[],[f68338]) ).
thf(f68572,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_593 ),
inference(constrained_superposition,[],[f61223,f51]) ).
thf(f68574,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_593 ),
inference(constrained_superposition,[],[f61223,f76]) ).
thf(f68576,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_593 ),
inference(constrained_superposition,[],[f61223,f187]) ).
thf(f68578,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_593 ),
inference(constrained_superposition,[],[f61223,f1673]) ).
thf(f68580,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_593 ),
inference(trivial_inequality_removal,[],[f68574]) ).
thf(f68582,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_593 ),
inference(trivial_inequality_removal,[],[f68576]) ).
thf(f68583,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_593 ),
inference(trivial_inequality_removal,[],[f68578]) ).
thf(f68585,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_593 ),
inference(trivial_inequality_removal,[],[f68572]) ).
thf(f68624,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_168
| ~ spl2_233 ),
inference(constrained_superposition,[],[f6292,f5311]) ).
thf(f68633,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_168
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f68624]) ).
thf(f68677,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_168
| ~ spl2_233 ),
inference(constrained_superposition,[],[f68633,f188]) ).
thf(f68679,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_168
| ~ spl2_233 ),
inference(constrained_superposition,[],[f68633,f77]) ).
thf(f68685,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_168
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f68677]) ).
thf(f68692,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_168
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f68679]) ).
thf(f68697,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_168
| spl2_188
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f68685,f11313]) ).
thf(f68699,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_168
| spl2_180
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f68692,f5426]) ).
thf(f68701,plain,
( ~ spl2_117
| ~ spl2_168
| spl2_188
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f68697,f6291,f5498,f5310,f3306]) ).
thf(f68702,plain,
( ~ spl2_119
| ~ spl2_168
| spl2_180
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f68699,f6291,f5425,f5310,f3313]) ).
thf(f68963,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_637 ),
inference(constrained_superposition,[],[f63812,f188]) ).
thf(f68965,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_637 ),
inference(constrained_superposition,[],[f63812,f77]) ).
thf(f68977,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_637 ),
inference(trivial_inequality_removal,[],[f68965]) ).
thf(f68978,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_637 ),
inference(trivial_inequality_removal,[],[f68963]) ).
thf(f68988,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_589
| ~ spl2_677 ),
inference(constrained_superposition,[],[f66198,f61125]) ).
thf(f68993,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_589
| ~ spl2_677 ),
inference(trivial_inequality_removal,[],[f68988]) ).
thf(f69001,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_191
| ~ spl2_589
| ~ spl2_677 ),
inference(forward_subsumption_resolution,[],[f68993,f5520]) ).
thf(f69002,plain,
( ~ spl2_476
| ~ spl2_191
| ~ spl2_589
| ~ spl2_677 ),
inference(avatar_split_clause,[],[f69001,f66197,f61124,f5519,f36650]) ).
thf(f69060,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_139
| ~ spl2_644 ),
inference(constrained_superposition,[],[f63895,f5793]) ).
thf(f69062,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_203
| ~ spl2_644 ),
inference(constrained_superposition,[],[f63895,f5800]) ).
thf(f69063,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_191
| ~ spl2_644 ),
inference(constrained_superposition,[],[f63895,f5520]) ).
thf(f69067,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_139
| ~ spl2_644 ),
inference(trivial_inequality_removal,[],[f69060]) ).
thf(f69069,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_203
| ~ spl2_644 ),
inference(trivial_inequality_removal,[],[f69062]) ).
thf(f69070,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_191
| ~ spl2_644 ),
inference(trivial_inequality_removal,[],[f69063]) ).
thf(f69073,plain,
( $false
| ~ spl2_139
| spl2_301
| ~ spl2_644 ),
inference(forward_subsumption_resolution,[],[f69067,f24914]) ).
thf(f69074,plain,
( ~ spl2_139
| spl2_301
| ~ spl2_644 ),
inference(avatar_contradiction_clause,[],[f69073]) ).
thf(f69075,plain,
( $false
| ~ spl2_203
| spl2_307
| ~ spl2_644 ),
inference(forward_subsumption_resolution,[],[f69069,f18677]) ).
thf(f69076,plain,
( ~ spl2_203
| spl2_307
| ~ spl2_644 ),
inference(avatar_contradiction_clause,[],[f69075]) ).
thf(f69077,plain,
( $false
| spl2_169
| ~ spl2_191
| ~ spl2_644 ),
inference(forward_subsumption_resolution,[],[f69070,f18683]) ).
thf(f69078,plain,
( spl2_169
| ~ spl2_191
| ~ spl2_644 ),
inference(avatar_contradiction_clause,[],[f69077]) ).
thf(f69101,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_390
| ~ spl2_588 ),
inference(constrained_superposition,[],[f23165,f61121]) ).
thf(f69111,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_390
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f69101]) ).
thf(f69121,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_390
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f69111,f5718]) ).
thf(f69122,plain,
( $false
| ~ spl2_198
| ~ spl2_246
| ~ spl2_390
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f69121,f6698]) ).
thf(f69123,plain,
( ~ spl2_198
| ~ spl2_246
| ~ spl2_390
| ~ spl2_588 ),
inference(avatar_contradiction_clause,[],[f69122]) ).
thf(f69167,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_255
| ~ spl2_353 ),
inference(constrained_superposition,[],[f17772,f7073]) ).
thf(f69168,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_208
| ~ spl2_353 ),
inference(constrained_superposition,[],[f17772,f5753]) ).
thf(f69186,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_208
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f69168]) ).
thf(f69189,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_255
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f69167]) ).
thf(f69194,plain,
( $false
| ~ spl2_208
| ~ spl2_246
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f69186,f6698]) ).
thf(f69195,plain,
( ~ spl2_208
| ~ spl2_246
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f69194]) ).
thf(f69196,plain,
( $false
| ~ spl2_254
| ~ spl2_255
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f69189,f7069]) ).
thf(f69197,plain,
( ~ spl2_254
| ~ spl2_255
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f69196]) ).
thf(f69237,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f27,f2311]) ).
thf(f69247,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f69237]) ).
thf(f69317,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_304 ),
inference(constrained_superposition,[],[f10697,f76]) ).
thf(f69326,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f69317]) ).
thf(f69330,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_258
| ~ spl2_374 ),
inference(constrained_superposition,[],[f20414,f7258]) ).
thf(f69333,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_374
| ~ spl2_442 ),
inference(constrained_superposition,[],[f20414,f33508]) ).
thf(f69355,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_258
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f69330]) ).
thf(f69375,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_374
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f69333]) ).
thf(f69422,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_258
| ~ spl2_445 ),
inference(constrained_superposition,[],[f33832,f7258]) ).
thf(f69451,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_258
| ~ spl2_445 ),
inference(trivial_inequality_removal,[],[f69422]) ).
thf(f69529,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_208
| ~ spl2_322 ),
inference(constrained_superposition,[],[f12456,f5753]) ).
thf(f69573,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_208
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f69529]) ).
thf(f69668,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| spl2_250
| ~ spl2_419
| ~ spl2_589 ),
inference(constrained_superposition,[],[f68089,f31625]) ).
thf(f69689,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_250
| ~ spl2_419
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f69668]) ).
thf(f69690,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_250
| ~ spl2_419
| ~ spl2_488
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f69689,f38516]) ).
thf(f69692,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_250
| ~ spl2_419
| ~ spl2_488
| ~ spl2_589 ),
inference(constrained_superposition,[],[f69690,f78]) ).
thf(f69695,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_250
| ~ spl2_419
| ~ spl2_488
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f69692]) ).
thf(f69699,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_250
| ~ spl2_419
| spl2_448
| ~ spl2_488
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f69695,f34112]) ).
thf(f69703,plain,
( spl2_193
| spl2_250
| ~ spl2_419
| spl2_448
| ~ spl2_488
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f69699,f61124,f38515,f34111,f31624,f6719,f5554]) ).
thf(f70597,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_597 ),
inference(constrained_superposition,[],[f61363,f7073]) ).
thf(f70639,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_597 ),
inference(duplicate_literal_removal,[],[f70597]) ).
thf(f70640,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_597 ),
inference(trivial_inequality_removal,[],[f70639]) ).
thf(f70657,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_255
| ~ spl2_597 ),
inference(forward_subsumption_resolution,[],[f70640,f2532]) ).
thf(f70659,plain,
( spl2_353
| ~ spl2_94
| ~ spl2_255
| ~ spl2_597 ),
inference(avatar_split_clause,[],[f70657,f61362,f7072,f2531,f17771]) ).
thf(f70660,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_84
| ~ spl2_94 ),
inference(constrained_superposition,[],[f69247,f2532]) ).
thf(f70682,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_84
| ~ spl2_94 ),
inference(duplicate_literal_removal,[],[f70660]) ).
thf(f70683,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_84
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f70682]) ).
thf(f70708,plain,
( spl2_111
| ~ spl2_84
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f70683,f2531,f2310,f2967]) ).
thf(f70760,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_172
| ~ spl2_671 ),
inference(constrained_superposition,[],[f64997,f5325]) ).
thf(f70788,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_172
| ~ spl2_671 ),
inference(trivial_inequality_removal,[],[f70760]) ).
thf(f70792,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_139
| ~ spl2_172
| ~ spl2_671 ),
inference(forward_subsumption_resolution,[],[f70788,f5793]) ).
thf(f70795,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_139
| ~ spl2_172
| spl2_307
| ~ spl2_671 ),
inference(forward_subsumption_resolution,[],[f70792,f18677]) ).
thf(f70798,plain,
( ~ spl2_209
| ~ spl2_139
| ~ spl2_172
| spl2_307
| ~ spl2_671 ),
inference(avatar_split_clause,[],[f70795,f64996,f10720,f5324,f3611,f5755]) ).
thf(f70837,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_208
| ~ spl2_661 ),
inference(constrained_superposition,[],[f64541,f5753]) ).
thf(f70867,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_208
| ~ spl2_661 ),
inference(duplicate_literal_removal,[],[f70837]) ).
thf(f70868,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_208
| ~ spl2_661 ),
inference(trivial_inequality_removal,[],[f70867]) ).
thf(f70894,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_208
| ~ spl2_661 ),
inference(forward_subsumption_resolution,[],[f70868,f2532]) ).
thf(f70896,plain,
( spl2_353
| ~ spl2_94
| ~ spl2_208
| ~ spl2_661 ),
inference(avatar_split_clause,[],[f70894,f64540,f5752,f2531,f17771]) ).
thf(f70946,definition,
( spl2_685
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_685])],[avatar_definition]) ).
thf(f70947,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_685 ),
inference(avatar_component_clause,[],[f70946]) ).
thf(f71390,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_258
| ~ spl2_338 ),
inference(constrained_superposition,[],[f13992,f7258]) ).
thf(f71405,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_54
| ~ spl2_338 ),
inference(constrained_superposition,[],[f13992,f821]) ).
thf(f71419,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_258
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f71390]) ).
thf(f71434,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_54
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f71405]) ).
thf(f71875,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_208
| ~ spl2_284 ),
inference(constrained_superposition,[],[f9486,f5753]) ).
thf(f71908,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_208
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f71875]) ).
thf(f72065,definition,
( spl2_692
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_692])],[avatar_definition]) ).
thf(f72066,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_692 ),
inference(avatar_component_clause,[],[f72065]) ).
thf(f72074,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_258
| ~ spl2_692 ),
inference(constrained_superposition,[],[f72066,f7258]) ).
thf(f72118,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_258
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f72074]) ).
thf(f72157,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_170
| ~ spl2_442 ),
inference(constrained_superposition,[],[f68162,f33508]) ).
thf(f72167,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f72157]) ).
thf(f72177,plain,
( spl2_475
| ~ spl2_170
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f72167,f33507,f5317,f36640]) ).
thf(f72183,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_254
| ~ spl2_475 ),
inference(constrained_superposition,[],[f36641,f7069]) ).
thf(f72223,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_254
| ~ spl2_475 ),
inference(trivial_inequality_removal,[],[f72183]) ).
thf(f72238,definition,
( spl2_693
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_693])],[avatar_definition]) ).
thf(f72239,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_693 ),
inference(avatar_component_clause,[],[f72238]) ).
thf(f72244,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_244
| ~ spl2_254
| ~ spl2_475 ),
inference(forward_subsumption_resolution,[],[f72223,f6685]) ).
thf(f72249,definition,
( spl2_694
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_694])],[avatar_definition]) ).
thf(f72250,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_694 ),
inference(avatar_component_clause,[],[f72249]) ).
thf(f72274,definition,
( spl2_695
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_695])],[avatar_definition]) ).
thf(f72275,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_695 ),
inference(avatar_component_clause,[],[f72274]) ).
thf(f72284,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_371
| ~ spl2_693 ),
inference(constrained_superposition,[],[f72239,f20310]) ).
thf(f72287,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_254
| ~ spl2_693 ),
inference(constrained_superposition,[],[f72239,f7069]) ).
thf(f72288,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_156
| ~ spl2_693 ),
inference(constrained_superposition,[],[f72239,f54011]) ).
thf(f72297,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_54
| ~ spl2_693 ),
inference(constrained_superposition,[],[f72239,f821]) ).
thf(f72308,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_54
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f72297]) ).
thf(f72309,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_371
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f72284]) ).
thf(f72327,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_254
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f72287]) ).
thf(f72328,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_156
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f72288]) ).
thf(f72333,plain,
( $false
| ~ spl2_54
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f72308,f821]) ).
thf(f72334,plain,
( ~ spl2_54
| ~ spl2_693 ),
inference(avatar_contradiction_clause,[],[f72333]) ).
thf(f72335,plain,
( ~ spl2_384
| ~ spl2_371
| ~ spl2_693 ),
inference(avatar_split_clause,[],[f72309,f72238,f20309,f22086]) ).
thf(f72344,plain,
( $false
| ~ spl2_244
| ~ spl2_254
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f72327,f6685]) ).
thf(f72345,plain,
( ~ spl2_244
| ~ spl2_254
| ~ spl2_693 ),
inference(avatar_contradiction_clause,[],[f72344]) ).
thf(f72346,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_156
| spl2_181
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f72328,f5429]) ).
thf(f72359,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_156
| spl2_180
| spl2_181
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f72346,f5426]) ).
thf(f72368,plain,
( $false
| ~ spl2_4
| ~ spl2_156
| spl2_180
| spl2_181
| ~ spl2_244
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f72359,f6685]) ).
thf(f72369,plain,
( ~ spl2_4
| ~ spl2_156
| spl2_180
| spl2_181
| ~ spl2_244
| ~ spl2_693 ),
inference(avatar_contradiction_clause,[],[f72368]) ).
thf(f72378,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_255
| ~ spl2_694 ),
inference(constrained_superposition,[],[f72250,f7073]) ).
thf(f72405,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_255
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f72378]) ).
thf(f72427,plain,
( spl2_695
| ~ spl2_244
| ~ spl2_254
| ~ spl2_475 ),
inference(avatar_split_clause,[],[f72244,f36640,f7068,f6684,f72274]) ).
thf(f72802,plain,
( spl2_180
| spl2_187
| ~ spl2_4
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f67689,f5519,f89,f5494,f5425]) ).
thf(f72807,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110
| ~ spl2_255
| ~ spl2_694 ),
inference(forward_subsumption_resolution,[],[f72405,f2965]) ).
thf(f72808,plain,
( spl2_180
| spl2_187
| spl2_186
| ~ spl2_4
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f67670,f5519,f89,f5491,f5494,f5425]) ).
thf(f72809,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_234 ),
inference(avatar_component_clause,[],[f6393]) ).
thf(f72811,plain,
( ~ spl2_180
| ~ spl2_47
| ~ spl2_202
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f68000,f20309,f5731,f691,f5425]) ).
thf(f72828,plain,
( ~ spl2_234
| ~ spl2_110
| ~ spl2_255
| ~ spl2_694 ),
inference(avatar_split_clause,[],[f72807,f72249,f7072,f2964,f6393]) ).
thf(f72844,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_637 ),
inference(forward_subsumption_resolution,[],[f68977,f421]) ).
thf(f72859,plain,
( ~ spl2_68
| ~ spl2_29
| ~ spl2_258
| ~ spl2_374 ),
inference(avatar_split_clause,[],[f69355,f20413,f7257,f350,f1231]) ).
thf(f72864,definition,
( spl2_701
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_701])],[avatar_definition]) ).
thf(f72865,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_701 ),
inference(avatar_component_clause,[],[f72864]) ).
thf(f72866,plain,
( spl2_701
| ~ spl2_68
| ~ spl2_258
| ~ spl2_338 ),
inference(avatar_split_clause,[],[f71419,f13991,f7257,f1231,f72864]) ).
thf(f72868,plain,
( ~ spl2_84
| ~ spl2_92
| ~ spl2_208
| ~ spl2_322 ),
inference(avatar_split_clause,[],[f69573,f12455,f5752,f2448,f2310]) ).
thf(f72873,plain,
( spl2_351
| ~ spl2_308
| ~ spl2_54
| ~ spl2_338 ),
inference(avatar_split_clause,[],[f71434,f13991,f820,f10829,f17101]) ).
thf(f72886,plain,
( ~ spl2_31
| ~ spl2_178
| ~ spl2_258
| ~ spl2_445 ),
inference(avatar_split_clause,[],[f69451,f33831,f7257,f5381,f379]) ).
thf(f72890,definition,
( spl2_703
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_703])],[avatar_definition]) ).
thf(f72891,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_703 ),
inference(avatar_component_clause,[],[f72890]) ).
thf(f72893,plain,
( ~ spl2_178
| ~ spl2_20
| ~ spl2_258
| ~ spl2_692 ),
inference(avatar_split_clause,[],[f72118,f72065,f7257,f246,f5381]) ).
thf(f72898,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_204
| ~ spl2_637 ),
inference(forward_subsumption_resolution,[],[f68978,f11315]) ).
thf(f72900,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f68209,f41]) ).
thf(f72905,plain,
( spl2_336
| ~ spl2_92
| ~ spl2_208
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f71908,f9485,f5752,f2448,f13849]) ).
thf(f72908,plain,
( spl2_202
| ~ spl2_119
| ~ spl2_4
| ~ spl2_637 ),
inference(avatar_split_clause,[],[f72844,f63811,f89,f3313,f5731]) ).
thf(f72927,plain,
( ~ spl2_117
| ~ spl2_17
| spl2_204
| ~ spl2_637 ),
inference(avatar_split_clause,[],[f72898,f63811,f5738,f219,f3306]) ).
thf(f72947,plain,
( spl2_246
| ~ spl2_119
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f69326,f10696,f3313,f6697]) ).
thf(f72948,plain,
( spl2_254
| spl2_186
| spl2_257
| ~ spl2_4
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f67675,f5519,f89,f7157,f5491,f7068]) ).
thf(f72950,definition,
( spl2_705
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_705])],[avatar_definition]) ).
thf(f72951,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_705 ),
inference(avatar_component_clause,[],[f72950]) ).
thf(f72954,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f67778,f41]) ).
thf(f72965,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f67681,f41]) ).
thf(f72971,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
= $true ) )
| ~ spl2_4
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f67772,f41]) ).
thf(f72978,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f72900,f41]) ).
thf(f72983,plain,
( spl2_221
| spl2_206
| ~ spl2_4
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f67769,f5734,f89,f5745,f5873]) ).
thf(f72990,plain,
( ~ spl2_194
| ~ spl2_246
| ~ spl2_374
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f69375,f33507,f20413,f6697,f5704]) ).
thf(f72992,plain,
( spl2_254
| ~ spl2_119
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f68350,f5377,f3313,f7068]) ).
thf(f73001,plain,
( spl2_222
| spl2_206
| ~ spl2_4
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f72954,f5734,f89,f5745,f5877]) ).
thf(f73011,plain,
( spl2_184
| spl2_254
| ~ spl2_4
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f72965,f5519,f89,f7068,f5484]) ).
thf(f73015,plain,
( spl2_219
| spl2_246
| ~ spl2_4
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f72971,f5734,f89,f6697,f5865]) ).
thf(f73020,plain,
( ~ spl2_139
| spl2_206
| spl2_202
| ~ spl2_4
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f72978,f5324,f89,f5731,f5745,f3611]) ).
thf(f73065,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f83,f61055]) ).
thf(f73126,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_94
| ~ spl2_554 ),
inference(constrained_superposition,[],[f57645,f2532]) ).
thf(f73127,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_113 ),
inference(constrained_superposition,[],[f3067,f2532]) ).
thf(f73136,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_94 ),
inference(constrained_superposition,[],[f41497,f2532]) ).
thf(f73143,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f73136]) ).
thf(f73144,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_554 ),
inference(trivial_inequality_removal,[],[f73126]) ).
thf(f73149,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f73127]) ).
thf(f73258,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_180
| ~ spl2_255 ),
inference(constrained_superposition,[],[f67928,f5477]) ).
thf(f73259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_180
| ~ spl2_258 ),
inference(constrained_superposition,[],[f67872,f5477]) ).
thf(f73262,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_180
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f73258]) ).
thf(f73265,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_180
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f73259]) ).
thf(f73267,plain,
( spl2_288
| ~ spl2_180
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f73262,f7072,f5425,f9733]) ).
thf(f73268,plain,
( spl2_43
| ~ spl2_180
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f73265,f7257,f5425,f627]) ).
thf(f73274,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| ~ spl2_4
| spl2_254 ),
inference(constrained_superposition,[],[f7902,f50651]) ).
thf(f73278,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_4
| spl2_254 ),
inference(trivial_inequality_removal,[],[f73274]) ).
thf(f73285,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_4
| spl2_254 ),
inference(forward_subsumption_resolution,[],[f73278,f41]) ).
thf(f73289,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_4
| spl2_181
| spl2_254 ),
inference(forward_subsumption_resolution,[],[f73285,f5429]) ).
thf(f73292,plain,
( spl2_186
| spl2_184
| ~ spl2_4
| spl2_181
| spl2_254 ),
inference(avatar_split_clause,[],[f73289,f7068,f5428,f89,f5484,f5491]) ).
thf(f73314,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_170
| ~ spl2_206 ),
inference(constrained_superposition,[],[f68162,f5746]) ).
thf(f73316,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_198
| ~ spl2_206 ),
inference(constrained_superposition,[],[f67914,f5746]) ).
thf(f73322,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f73314]) ).
thf(f73323,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_198
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f73316]) ).
thf(f73325,plain,
( spl2_321
| ~ spl2_170
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f73322,f5745,f5317,f12450]) ).
thf(f73326,plain,
( spl2_43
| ~ spl2_198
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f73323,f5745,f5717,f627]) ).
thf(f73334,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_188
| ~ spl2_255 ),
inference(constrained_superposition,[],[f67928,f5499]) ).
thf(f73335,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_188
| ~ spl2_258 ),
inference(constrained_superposition,[],[f67872,f5499]) ).
thf(f73338,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_188
| ~ spl2_258 ),
inference(duplicate_literal_removal,[],[f73335]) ).
thf(f73339,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_188
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f73338]) ).
thf(f73343,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_188
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f73334]) ).
thf(f73350,plain,
( spl2_44
| ~ spl2_188
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f73339,f7257,f5498,f631]) ).
thf(f73351,plain,
( spl2_302
| ~ spl2_188
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f73343,f7072,f5498,f10435]) ).
thf(f73459,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_194 ),
inference(constrained_superposition,[],[f58,f5705]) ).
thf(f73477,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f73459]) ).
thf(f73562,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_589
| ~ spl2_678 ),
inference(constrained_superposition,[],[f66202,f61125]) ).
thf(f73620,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_589
| ~ spl2_678 ),
inference(trivial_inequality_removal,[],[f73562]) ).
thf(f73638,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_191
| ~ spl2_589
| ~ spl2_678 ),
inference(forward_subsumption_resolution,[],[f73620,f5520]) ).
thf(f73639,plain,
( ~ spl2_477
| ~ spl2_191
| ~ spl2_589
| ~ spl2_678 ),
inference(avatar_split_clause,[],[f73638,f66201,f61124,f5519,f36656]) ).
thf(f73780,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_278 ),
inference(avatar_component_clause,[],[f9002]) ).
thf(f73798,definition,
( spl2_712
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_712])],[avatar_definition]) ).
thf(f73799,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_712 ),
inference(avatar_component_clause,[],[f73798]) ).
thf(f73800,plain,
( spl2_712
| spl2_132 ),
inference(avatar_split_clause,[],[f55526,f3406,f73798]) ).
thf(f73806,plain,
( spl2_250
| spl2_140
| spl2_678
| spl2_83 ),
inference(avatar_split_clause,[],[f58383,f2307,f66201,f3614,f6719]) ).
thf(f73809,plain,
( ~ spl2_17
| spl2_140
| spl2_15
| spl2_278
| spl2_83 ),
inference(avatar_split_clause,[],[f58044,f2307,f9002,f213,f3614,f219]) ).
thf(f73811,plain,
( spl2_156
| spl2_149 ),
inference(avatar_split_clause,[],[f58041,f4018,f4053]) ).
thf(f73812,plain,
( spl2_555
| spl2_556
| spl2_149 ),
inference(avatar_split_clause,[],[f58518,f4018,f58085,f58082]) ).
thf(f73813,plain,
( spl2_157
| spl2_149 ),
inference(avatar_split_clause,[],[f58485,f4018,f4057]) ).
thf(f73827,plain,
( spl2_269
| spl2_183 ),
inference(avatar_split_clause,[],[f65111,f5480,f8056]) ).
thf(f73844,plain,
( spl2_169
| spl2_182
| spl2_132
| spl2_269
| spl2_299 ),
inference(avatar_split_clause,[],[f58486,f10334,f8056,f3406,f5475,f5313]) ).
thf(f73855,plain,
( ~ spl2_324
| spl2_255
| ~ spl2_593 ),
inference(avatar_split_clause,[],[f68583,f61222,f7072,f12576]) ).
thf(f73864,plain,
( spl2_5
| spl2_149
| spl2_6 ),
inference(avatar_split_clause,[],[f58484,f95,f4018,f92]) ).
thf(f73867,plain,
( spl2_4
| ~ spl2_110
| ~ spl2_38
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f73143,f2531,f429,f2964,f89]) ).
thf(f73874,plain,
( spl2_17
| spl2_516
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f73477,f5704,f44956,f219]) ).
thf(f73875,plain,
( spl2_74
| spl2_40 ),
inference(avatar_split_clause,[],[f58380,f512,f2066]) ).
thf(f73876,plain,
( ~ spl2_335
| spl2_254
| ~ spl2_593 ),
inference(avatar_split_clause,[],[f68580,f61222,f7068,f13845]) ).
thf(f73877,plain,
( ~ spl2_4
| spl2_6
| spl2_5 ),
inference(avatar_split_clause,[],[f58040,f92,f95,f89]) ).
thf(f73895,plain,
( spl2_269
| ~ spl2_231
| ~ spl2_593 ),
inference(avatar_split_clause,[],[f68585,f61222,f5993,f8056]) ).
thf(f73897,plain,
( spl2_169
| spl2_373
| spl2_110
| spl2_299 ),
inference(avatar_split_clause,[],[f58381,f10334,f2964,f20394,f5313]) ).
thf(f73901,plain,
( spl2_301
| spl2_226
| ~ spl2_139
| spl2_132
| spl2_93 ),
inference(avatar_split_clause,[],[f73065,f2451,f3406,f3611,f5973,f10415]) ).
thf(f73904,plain,
( ~ spl2_149
| spl2_90
| ~ spl2_94
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f73149,f3066,f2531,f2338,f4018]) ).
thf(f73916,plain,
( spl2_140
| ~ spl2_26
| spl2_15
| spl2_278
| spl2_83 ),
inference(avatar_split_clause,[],[f58440,f2307,f9002,f213,f285,f3614]) ).
thf(f73931,plain,
( spl2_258
| ~ spl2_333
| ~ spl2_593 ),
inference(avatar_split_clause,[],[f68582,f61222,f13826,f7257]) ).
thf(f73932,plain,
( spl2_556
| spl2_555
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f58067,f89,f58082,f58085]) ).
thf(f73944,plain,
( spl2_169
| ~ spl2_191
| spl2_182
| spl2_132
| spl2_299 ),
inference(avatar_split_clause,[],[f58042,f10334,f3406,f5475,f5519,f5313]) ).
thf(f73949,plain,
( spl2_132
| spl2_645
| spl2_644 ),
inference(avatar_split_clause,[],[f58519,f63894,f63897,f3406]) ).
thf(f73951,plain,
( spl2_110
| spl2_132
| spl2_21
| ~ spl2_94
| ~ spl2_554 ),
inference(avatar_split_clause,[],[f73144,f57644,f2531,f249,f3406,f2964]) ).
thf(f74001,definition,
( spl2_732
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_732])],[avatar_definition]) ).
thf(f74050,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_38
| ~ spl2_40 ),
inference(constrained_superposition,[],[f430,f2064]) ).
thf(f74053,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f74050]) ).
thf(f74061,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f58,f4019]) ).
thf(f74063,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_149 ),
inference(duplicate_literal_removal,[],[f74061]) ).
thf(f74064,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f74063]) ).
thf(f74066,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| spl2_4
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f74064,f90]) ).
thf(f74067,plain,
( spl2_37
| spl2_4
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f74066,f4018,f89,f425]) ).
thf(f74078,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f28,f385]) ).
thf(f74086,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f74078]) ).
thf(f74153,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_66
| ~ spl2_685 ),
inference(constrained_superposition,[],[f70947,f1182]) ).
thf(f74169,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_38
| ~ spl2_66 ),
inference(constrained_superposition,[],[f41497,f1182]) ).
thf(f74186,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_66
| ~ spl2_685 ),
inference(trivial_inequality_removal,[],[f74153]) ).
thf(f74189,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_66 ),
inference(trivial_inequality_removal,[],[f74169]) ).
thf(f74198,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_66
| ~ spl2_149
| ~ spl2_685 ),
inference(forward_subsumption_resolution,[],[f74186,f4019]) ).
thf(f74200,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| spl2_4
| ~ spl2_38
| ~ spl2_66 ),
inference(forward_subsumption_resolution,[],[f74189,f90]) ).
thf(f74207,plain,
( spl2_90
| ~ spl2_66
| ~ spl2_149
| ~ spl2_685 ),
inference(avatar_split_clause,[],[f74198,f70946,f4018,f1181,f2338]) ).
thf(f74209,plain,
( spl2_32
| spl2_4
| ~ spl2_38
| ~ spl2_66 ),
inference(avatar_split_clause,[],[f74200,f1181,f429,f89,f383]) ).
thf(f74245,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_278
| ~ spl2_606 ),
inference(constrained_superposition,[],[f62075,f9003]) ).
thf(f74255,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_606 ),
inference(trivial_inequality_removal,[],[f74245]) ).
thf(f74256,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_40
| ~ spl2_278
| ~ spl2_606 ),
inference(forward_subsumption_resolution,[],[f74255,f2064]) ).
thf(f74257,plain,
( spl2_238
| ~ spl2_40
| ~ spl2_278
| ~ spl2_606 ),
inference(avatar_split_clause,[],[f74256,f62074,f9002,f512,f6487]) ).
thf(f74293,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_178
| ~ spl2_265 ),
inference(constrained_superposition,[],[f7955,f5382]) ).
thf(f74299,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_178
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f74293]) ).
thf(f74318,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_269
| ~ spl2_695 ),
inference(constrained_superposition,[],[f72275,f9492]) ).
thf(f74321,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_269
| ~ spl2_695 ),
inference(trivial_inequality_removal,[],[f74318]) ).
thf(f74330,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_269
| ~ spl2_278
| ~ spl2_695 ),
inference(forward_subsumption_resolution,[],[f74321,f9003]) ).
thf(f74332,plain,
( $false
| ~ spl2_149
| ~ spl2_269
| ~ spl2_278
| ~ spl2_695 ),
inference(forward_subsumption_resolution,[],[f74330,f4019]) ).
thf(f74333,plain,
( ~ spl2_149
| ~ spl2_269
| ~ spl2_278
| ~ spl2_695 ),
inference(avatar_contradiction_clause,[],[f74332]) ).
thf(f74376,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_254
| ~ spl2_445 ),
inference(constrained_superposition,[],[f33832,f7069]) ).
thf(f74381,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_90
| ~ spl2_254 ),
inference(constrained_superposition,[],[f2339,f7069]) ).
thf(f74383,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_254 ),
inference(constrained_superposition,[],[f41497,f7069]) ).
thf(f74387,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_90
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f74381]) ).
thf(f74389,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_254
| ~ spl2_445 ),
inference(trivial_inequality_removal,[],[f74376]) ).
thf(f74394,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f74383]) ).
thf(f74396,plain,
( $false
| ~ spl2_90
| ~ spl2_254
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f74387,f9492]) ).
thf(f74397,plain,
( ~ spl2_90
| ~ spl2_254
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f74396]) ).
thf(f74398,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_40
| ~ spl2_254
| ~ spl2_445 ),
inference(forward_subsumption_resolution,[],[f74389,f2064]) ).
thf(f74401,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_181
| ~ spl2_254 ),
inference(forward_subsumption_resolution,[],[f74394,f9399]) ).
thf(f74402,plain,
( $false
| ~ spl2_40
| ~ spl2_94
| ~ spl2_254
| ~ spl2_445 ),
inference(forward_subsumption_resolution,[],[f74398,f2532]) ).
thf(f74403,plain,
( ~ spl2_40
| ~ spl2_94
| ~ spl2_254
| ~ spl2_445 ),
inference(avatar_contradiction_clause,[],[f74402]) ).
thf(f74404,plain,
( $false
| spl2_4
| ~ spl2_38
| ~ spl2_181
| ~ spl2_254 ),
inference(forward_subsumption_resolution,[],[f74401,f90]) ).
thf(f74405,plain,
( spl2_4
| ~ spl2_38
| ~ spl2_181
| ~ spl2_254 ),
inference(avatar_contradiction_clause,[],[f74404]) ).
thf(f74435,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_130 ),
inference(constrained_superposition,[],[f3396,f1674]) ).
thf(f74438,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f74435]) ).
thf(f74444,plain,
( spl2_644
| ~ spl2_130 ),
inference(avatar_split_clause,[],[f74438,f3395,f63894]) ).
thf(f74465,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_246
| ~ spl2_279 ),
inference(constrained_superposition,[],[f7325,f9028]) ).
thf(f74470,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_246
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f74465]) ).
thf(f74473,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_211
| spl2_246
| ~ spl2_279 ),
inference(forward_subsumption_resolution,[],[f74470,f5794]) ).
thf(f74479,plain,
( spl2_249
| spl2_212
| spl2_211
| spl2_246
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f74473,f9027,f6697,f5763,f5767,f6714]) ).
thf(f74493,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_113
| ~ spl2_301 ),
inference(constrained_superposition,[],[f3067,f10416]) ).
thf(f74506,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_113
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f74493]) ).
thf(f74507,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_113
| ~ spl2_278
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f74506,f9003]) ).
thf(f74508,plain,
( spl2_215
| ~ spl2_113
| ~ spl2_278
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f74507,f10415,f9002,f3066,f5808]) ).
thf(f74509,plain,
( ~ spl2_278
| spl2_215
| ~ spl2_113
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f74506,f10415,f3066,f5808,f9002]) ).
thf(f74544,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_234
| ~ spl2_685 ),
inference(constrained_superposition,[],[f70947,f6394]) ).
thf(f74552,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_234
| ~ spl2_685 ),
inference(trivial_inequality_removal,[],[f74544]) ).
thf(f74654,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f2285,f51]) ).
thf(f74661,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f74654]) ).
thf(f74671,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_29
| ~ spl2_178
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f74299,f351]) ).
thf(f74672,plain,
( ~ spl2_26
| spl2_132
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f74661,f2284,f3406,f285]) ).
thf(f74673,plain,
( ~ spl2_132
| spl2_237
| ~ spl2_234
| ~ spl2_685 ),
inference(avatar_split_clause,[],[f74552,f70946,f6393,f6483,f3406]) ).
thf(f74674,plain,
( spl2_65
| ~ spl2_29
| ~ spl2_178
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f74671,f7954,f5381,f350,f1178]) ).
thf(f74696,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_94
| ~ spl2_346 ),
inference(constrained_superposition,[],[f16860,f2532]) ).
thf(f74707,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_94
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f74696]) ).
thf(f74713,plain,
( $false
| ~ spl2_29
| ~ spl2_94
| ~ spl2_346 ),
inference(forward_subsumption_resolution,[],[f74707,f351]) ).
thf(f74714,plain,
( ~ spl2_29
| ~ spl2_94
| ~ spl2_346 ),
inference(avatar_contradiction_clause,[],[f74713]) ).
thf(f74828,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_173 ),
inference(constrained_superposition,[],[f68162,f5328]) ).
thf(f74832,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_173 ),
inference(duplicate_literal_removal,[],[f74828]) ).
thf(f74833,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_170
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f74832]) ).
thf(f74839,plain,
( spl2_455
| ~ spl2_170
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f74833,f5327,f5317,f35953]) ).
thf(f74861,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_140
| ~ spl2_471 ),
inference(constrained_superposition,[],[f36613,f3615]) ).
thf(f74863,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_355
| ~ spl2_471 ),
inference(constrained_superposition,[],[f36613,f18373]) ).
thf(f74864,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_471 ),
inference(constrained_superposition,[],[f36613,f5328]) ).
thf(f74867,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_278
| ~ spl2_471 ),
inference(constrained_superposition,[],[f36613,f9003]) ).
thf(f74870,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_278
| ~ spl2_471 ),
inference(trivial_inequality_removal,[],[f74867]) ).
thf(f74872,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_471 ),
inference(trivial_inequality_removal,[],[f74861]) ).
thf(f74875,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_355
| ~ spl2_471 ),
inference(trivial_inequality_removal,[],[f74863]) ).
thf(f74877,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173
| ~ spl2_471 ),
inference(trivial_inequality_removal,[],[f74864]) ).
thf(f74879,plain,
( $false
| ~ spl2_132
| ~ spl2_278
| ~ spl2_471 ),
inference(forward_subsumption_resolution,[],[f74870,f3407]) ).
thf(f74880,plain,
( ~ spl2_132
| ~ spl2_278
| ~ spl2_471 ),
inference(avatar_contradiction_clause,[],[f74879]) ).
thf(f74890,plain,
( ~ spl2_178
| ~ spl2_140
| ~ spl2_471 ),
inference(avatar_split_clause,[],[f74872,f36612,f3614,f5381]) ).
thf(f74892,plain,
( ~ spl2_169
| ~ spl2_355
| ~ spl2_471 ),
inference(avatar_split_clause,[],[f74875,f36612,f18372,f5313]) ).
thf(f74894,definition,
( spl2_740
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_740])],[avatar_definition]) ).
thf(f74895,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_740 ),
inference(avatar_component_clause,[],[f74894]) ).
thf(f74898,plain,
( ~ spl2_307
| ~ spl2_173
| ~ spl2_471 ),
inference(avatar_split_clause,[],[f74877,f36612,f5327,f10720]) ).
thf(f74903,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_26 ),
inference(constrained_superposition,[],[f286,f51]) ).
thf(f74904,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_26 ),
inference(constrained_superposition,[],[f286,f29]) ).
thf(f74905,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_26 ),
inference(trivial_inequality_removal,[],[f74903]) ).
thf(f74906,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_26 ),
inference(trivial_inequality_removal,[],[f74904]) ).
thf(f74907,plain,
( $false
| spl2_26
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f74905,f10904]) ).
thf(f74908,plain,
( spl2_26
| spl2_308 ),
inference(avatar_contradiction_clause,[],[f74907]) ).
thf(f74909,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_26 ),
inference(forward_subsumption_resolution,[],[f74906,f41]) ).
thf(f74910,plain,
( $false
| spl2_26
| spl2_308 ),
inference(forward_subsumption_resolution,[],[f74909,f10904]) ).
thf(f74911,plain,
( spl2_26
| spl2_308 ),
inference(avatar_contradiction_clause,[],[f74910]) ).
thf(f75030,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_144
| ~ spl2_180 ),
inference(constrained_superposition,[],[f3903,f5477]) ).
thf(f75036,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_144
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f75030]) ).
thf(f75042,plain,
( ~ spl2_269
| ~ spl2_144
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f75036,f5425,f3902,f8056]) ).
thf(f75076,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_29
| ~ spl2_104 ),
inference(constrained_superposition,[],[f2756,f351]) ).
thf(f75077,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_104 ),
inference(constrained_superposition,[],[f2756,f57095]) ).
thf(f75081,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f75077]) ).
thf(f75082,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_29
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f75076]) ).
thf(f75087,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_144
| ~ spl2_206 ),
inference(constrained_superposition,[],[f3903,f5746]) ).
thf(f75097,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_144
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f75087]) ).
thf(f75102,plain,
( ~ spl2_249
| ~ spl2_144
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f75097,f5745,f3902,f6714]) ).
thf(f75230,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_301
| ~ spl2_346 ),
inference(constrained_superposition,[],[f16860,f10416]) ).
thf(f75232,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_178
| ~ spl2_346 ),
inference(constrained_superposition,[],[f16860,f5382]) ).
thf(f75233,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_132
| ~ spl2_346 ),
inference(constrained_superposition,[],[f16860,f3407]) ).
thf(f75238,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_132
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f75233]) ).
thf(f75239,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_301
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f75230]) ).
thf(f75240,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_178
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f75232]) ).
thf(f75242,plain,
( $false
| ~ spl2_204
| ~ spl2_301
| ~ spl2_346 ),
inference(forward_subsumption_resolution,[],[f75239,f5739]) ).
thf(f75243,plain,
( ~ spl2_204
| ~ spl2_301
| ~ spl2_346 ),
inference(avatar_contradiction_clause,[],[f75242]) ).
thf(f75244,plain,
( ~ spl2_68
| ~ spl2_178
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f75240,f16859,f5381,f1231]) ).
thf(f75255,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_254
| ~ spl2_694 ),
inference(constrained_superposition,[],[f72250,f7069]) ).
thf(f75266,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_254
| ~ spl2_694 ),
inference(trivial_inequality_removal,[],[f75255]) ).
thf(f75269,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_244
| ~ spl2_254
| ~ spl2_694 ),
inference(forward_subsumption_resolution,[],[f75266,f6685]) ).
thf(f75270,plain,
( $false
| ~ spl2_40
| ~ spl2_244
| ~ spl2_254
| ~ spl2_694 ),
inference(forward_subsumption_resolution,[],[f75269,f2064]) ).
thf(f75271,plain,
( ~ spl2_40
| ~ spl2_244
| ~ spl2_254
| ~ spl2_694 ),
inference(avatar_contradiction_clause,[],[f75270]) ).
thf(f75316,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_197
| ~ spl2_589 ),
inference(constrained_superposition,[],[f5715,f61125]) ).
thf(f75328,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f1448,f61125]) ).
thf(f75340,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f75328]) ).
thf(f75360,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_197
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f75316]) ).
thf(f75370,plain,
( ~ spl2_176
| ~ spl2_197
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f75360,f61124,f5714,f5374]) ).
thf(f75381,definition,
( spl2_742
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_742])],[avatar_definition]) ).
thf(f75382,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_742 ),
inference(avatar_component_clause,[],[f75381]) ).
thf(f75471,plain,
( ~ spl2_308
| ~ spl2_132
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f75238,f16859,f3406,f10829]) ).
thf(f75473,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_250
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f75340,f6720]) ).
thf(f75493,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_104
| ~ spl2_308 ),
inference(constrained_superposition,[],[f2756,f10830]) ).
thf(f75498,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_104
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f75493]) ).
thf(f75502,plain,
( $false
| ~ spl2_104
| ~ spl2_149
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f75498,f4019]) ).
thf(f75503,plain,
( ~ spl2_104
| ~ spl2_149
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f75502]) ).
thf(f75509,plain,
( ~ spl2_191
| ~ spl2_183
| spl2_278
| spl2_250
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f75473,f61124,f6719,f9002,f5480,f5519]) ).
thf(f75532,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f83,f61055]) ).
thf(f75550,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_93
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f75532,f24914]) ).
thf(f75559,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_93
| ~ spl2_139
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f75550,f5793]) ).
thf(f75565,plain,
( spl2_132
| spl2_226
| spl2_93
| ~ spl2_139
| spl2_301 ),
inference(avatar_split_clause,[],[f75559,f10415,f3611,f2451,f5973,f3406]) ).
thf(f75635,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_29
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4159,f351]) ).
thf(f75641,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_29
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f75635]) ).
thf(f75643,plain,
( $false
| ~ spl2_29
| ~ spl2_40
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f75641,f2064]) ).
thf(f75644,plain,
( ~ spl2_29
| ~ spl2_40
| ~ spl2_161 ),
inference(avatar_contradiction_clause,[],[f75643]) ).
thf(f75713,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_207 ),
inference(constrained_superposition,[],[f5750,f76]) ).
thf(f75717,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_207 ),
inference(constrained_superposition,[],[f5750,f1673]) ).
thf(f75720,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_207 ),
inference(trivial_inequality_removal,[],[f75713]) ).
thf(f75724,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_207 ),
inference(trivial_inequality_removal,[],[f75717]) ).
thf(f75745,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(constrained_superposition,[],[f632,f5739]) ).
thf(f75752,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f75745]) ).
thf(f75759,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_244 ),
inference(constrained_superposition,[],[f75752,f6685]) ).
thf(f75763,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f75759]) ).
thf(f75770,plain,
( $false
| ~ spl2_29
| ~ spl2_44
| ~ spl2_204
| ~ spl2_244 ),
inference(forward_subsumption_resolution,[],[f75763,f351]) ).
thf(f75771,plain,
( ~ spl2_29
| ~ spl2_44
| ~ spl2_204
| ~ spl2_244 ),
inference(avatar_contradiction_clause,[],[f75770]) ).
thf(f75780,plain,
( ~ spl2_121
| spl2_234
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f75724,f5749,f6393,f3320]) ).
thf(f75791,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_144
| ~ spl2_202 ),
inference(constrained_superposition,[],[f3903,f5732]) ).
thf(f75798,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_144
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f75791]) ).
thf(f75800,plain,
( $false
| ~ spl2_144
| ~ spl2_202
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f75798,f9003]) ).
thf(f75801,plain,
( ~ spl2_144
| ~ spl2_202
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f75800]) ).
thf(f75803,plain,
( spl2_244
| ~ spl2_119
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f75720,f5749,f3313,f6684]) ).
thf(f75817,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| ~ spl2_178 ),
inference(constrained_superposition,[],[f5382,f2452]) ).
thf(f75818,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_93
| spl2_180 ),
inference(constrained_superposition,[],[f5426,f2452]) ).
thf(f75826,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_93
| spl2_254 ),
inference(constrained_superposition,[],[f7902,f2452]) ).
thf(f75827,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_93
| ~ spl2_278 ),
inference(constrained_superposition,[],[f9003,f2452]) ).
thf(f75830,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| spl2_188 ),
inference(constrained_superposition,[],[f11313,f2452]) ).
thf(f75831,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| spl2_232 ),
inference(constrained_superposition,[],[f11420,f2452]) ).
thf(f75839,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_93
| spl2_299 ),
inference(constrained_superposition,[],[f31594,f2452]) ).
thf(f75843,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| spl2_168 ),
inference(constrained_superposition,[],[f36632,f2452]) ).
thf(f75858,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_93 ),
inference(constrained_superposition,[],[f344,f2452]) ).
thf(f75863,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| ~ spl2_310 ),
inference(constrained_superposition,[],[f10840,f2452]) ).
thf(f75867,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_93
| ~ spl2_666 ),
inference(constrained_superposition,[],[f64911,f2452]) ).
thf(f75891,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_93
| ~ spl2_666 ),
inference(constrained_superposition,[],[f64911,f2452]) ).
thf(f75892,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_93
| ~ spl2_668 ),
inference(constrained_superposition,[],[f64929,f2452]) ).
thf(f75939,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_27
| ~ spl2_93 ),
inference(duplicate_literal_removal,[],[f75858]) ).
thf(f75941,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_93
| ~ spl2_666 ),
inference(forward_subsumption_resolution,[],[f75867,f188]) ).
thf(f75945,plain,
( ~ spl2_68
| ~ spl2_93
| spl2_232 ),
inference(avatar_split_clause,[],[f75831,f6288,f2451,f1231]) ).
thf(f75946,plain,
( ~ spl2_204
| ~ spl2_93
| spl2_188 ),
inference(avatar_split_clause,[],[f75830,f5498,f2451,f5738]) ).
thf(f75949,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| ~ spl2_93
| ~ spl2_310 ),
inference(forward_subsumption_resolution,[],[f75863,f385]) ).
thf(f75950,plain,
( ~ spl2_244
| ~ spl2_93
| spl2_254 ),
inference(avatar_split_clause,[],[f75826,f7068,f2451,f6684]) ).
thf(f75951,plain,
( ~ spl2_202
| ~ spl2_93
| spl2_180 ),
inference(avatar_split_clause,[],[f75818,f5425,f2451,f5731]) ).
thf(f75953,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_93
| ~ spl2_666 ),
inference(forward_subsumption_resolution,[],[f75891,f188]) ).
thf(f75955,plain,
( spl2_132
| ~ spl2_93
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f75827,f9002,f2451,f3406]) ).
thf(f75966,plain,
( spl2_68
| spl2_23
| ~ spl2_14
| ~ spl2_27
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f75939,f2451,f343,f209,f274,f1231]) ).
thf(f75967,plain,
( ~ spl2_195
| ~ spl2_93
| spl2_168 ),
inference(avatar_split_clause,[],[f75843,f5310,f2451,f5707]) ).
thf(f75970,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_93
| ~ spl2_668 ),
inference(forward_subsumption_resolution,[],[f75892,f188]) ).
thf(f75974,plain,
( $false
| ~ spl2_93
| spl2_299 ),
inference(forward_subsumption_resolution,[],[f75839,f2452]) ).
thf(f75975,plain,
( ~ spl2_93
| spl2_299 ),
inference(avatar_contradiction_clause,[],[f75974]) ).
thf(f75976,plain,
( spl2_68
| ~ spl2_93
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f75817,f5381,f2451,f1231]) ).
thf(f75977,plain,
( spl2_78
| spl2_92
| ~ spl2_93
| ~ spl2_666 ),
inference(avatar_split_clause,[],[f75941,f64910,f2451,f2448,f2284]) ).
thf(f75980,plain,
( ~ spl2_26
| spl2_68
| ~ spl2_17
| ~ spl2_93
| ~ spl2_310 ),
inference(avatar_split_clause,[],[f75949,f10839,f2451,f219,f1231,f285]) ).
thf(f75981,plain,
( spl2_197
| spl2_204
| ~ spl2_93
| ~ spl2_666 ),
inference(avatar_split_clause,[],[f75953,f64910,f2451,f5738,f5714]) ).
thf(f75983,plain,
( spl2_204
| spl2_197
| ~ spl2_93
| ~ spl2_668 ),
inference(avatar_split_clause,[],[f75970,f64928,f2451,f5714,f5738]) ).
thf(f75986,plain,
( $false
| ~ spl2_24
| spl2_140 ),
inference(forward_subsumption_resolution,[],[f26276,f278]) ).
thf(f75987,plain,
( ~ spl2_24
| spl2_140 ),
inference(avatar_contradiction_clause,[],[f75986]) ).
thf(f75995,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f83,f61055]) ).
thf(f76009,plain,
( spl2_132
| spl2_226
| ~ spl2_139
| spl2_301
| spl2_93 ),
inference(avatar_split_clause,[],[f75995,f2451,f10415,f3611,f5973,f3406]) ).
thf(f76030,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_250 ),
inference(constrained_superposition,[],[f430,f11450]) ).
thf(f76033,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f76030]) ).
thf(f76067,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_40
| ~ spl2_244 ),
inference(constrained_superposition,[],[f74053,f6685]) ).
thf(f76068,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_244 ),
inference(constrained_superposition,[],[f41497,f6685]) ).
thf(f76070,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f76068]) ).
thf(f76072,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_40
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f76067]) ).
thf(f76075,plain,
( $false
| ~ spl2_38
| ~ spl2_40
| ~ spl2_244
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f76072,f11450]) ).
thf(f76076,plain,
( ~ spl2_38
| ~ spl2_40
| ~ spl2_244
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f76075]) ).
thf(f76080,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_31
| ~ spl2_104 ),
inference(forward_subsumption_resolution,[],[f75081,f380]) ).
thf(f76082,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_38
| ~ spl2_244
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f76070,f11450]) ).
thf(f76083,plain,
( spl2_454
| ~ spl2_149
| spl2_31
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f76080,f2755,f379,f4018,f35796]) ).
thf(f76084,plain,
( spl2_4
| ~ spl2_38
| ~ spl2_244
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f76082,f6719,f6684,f429,f89]) ).
thf(f76142,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_144 ),
inference(constrained_superposition,[],[f3903,f247]) ).
thf(f76149,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f76142]) ).
thf(f76150,plain,
( $false
| ~ spl2_20
| ~ spl2_144
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f76149,f10830]) ).
thf(f76151,plain,
( ~ spl2_20
| ~ spl2_144
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f76150]) ).
thf(f76252,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_20
| ~ spl2_646 ),
inference(constrained_superposition,[],[f63905,f247]) ).
thf(f76254,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_20
| ~ spl2_646 ),
inference(trivial_inequality_removal,[],[f76252]) ).
thf(f76282,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_70
| spl2_254 ),
inference(constrained_superposition,[],[f7902,f1554]) ).
thf(f76283,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_70
| spl2_94 ),
inference(constrained_superposition,[],[f17773,f1554]) ).
thf(f76303,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_70
| spl2_94 ),
inference(trivial_inequality_removal,[],[f76283]) ).
thf(f76304,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_70
| spl2_254 ),
inference(trivial_inequality_removal,[],[f76282]) ).
thf(f76308,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_70
| spl2_254 ),
inference(forward_subsumption_resolution,[],[f76304,f41]) ).
thf(f76314,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_70
| spl2_83
| spl2_94 ),
inference(forward_subsumption_resolution,[],[f76303,f5264]) ).
thf(f76316,plain,
( spl2_186
| spl2_269
| ~ spl2_70
| spl2_254 ),
inference(avatar_split_clause,[],[f76308,f7068,f1553,f8056,f5491]) ).
thf(f76317,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_70
| spl2_83
| spl2_94 ),
inference(forward_subsumption_resolution,[],[f76314,f41]) ).
thf(f76319,plain,
( spl2_132
| ~ spl2_70
| spl2_83
| spl2_94 ),
inference(avatar_split_clause,[],[f76317,f2531,f2307,f1553,f3406]) ).
thf(f76343,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_30
| ~ spl2_258 ),
inference(constrained_superposition,[],[f377,f7258]) ).
thf(f76344,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_30
| ~ spl2_140 ),
inference(constrained_superposition,[],[f377,f3615]) ).
thf(f76347,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_30
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f76344]) ).
thf(f76349,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_30
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f76343]) ).
thf(f76352,plain,
( $false
| ~ spl2_30
| ~ spl2_140
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f76347,f9003]) ).
thf(f76353,plain,
( ~ spl2_30
| ~ spl2_140
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f76352]) ).
thf(f76354,plain,
( $false
| ~ spl2_30
| ~ spl2_258
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f76349,f9492]) ).
thf(f76355,plain,
( ~ spl2_30
| ~ spl2_258
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f76354]) ).
thf(f76375,plain,
( $false
| ~ spl2_122
| spl2_234 ),
inference(forward_subsumption_resolution,[],[f72809,f3324]) ).
thf(f76376,plain,
( ~ spl2_122
| spl2_234 ),
inference(avatar_contradiction_clause,[],[f76375]) ).
thf(f76503,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_250
| ~ spl2_371 ),
inference(constrained_superposition,[],[f76033,f20310]) ).
thf(f76504,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_371 ),
inference(constrained_superposition,[],[f41497,f20310]) ).
thf(f76511,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f76504]) ).
thf(f76512,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_250
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f76503]) ).
thf(f76514,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| spl2_139
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f76511,f3612]) ).
thf(f76515,plain,
( $false
| ~ spl2_38
| ~ spl2_181
| ~ spl2_250
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f76512,f9399]) ).
thf(f76516,plain,
( ~ spl2_38
| ~ spl2_181
| ~ spl2_250
| ~ spl2_371 ),
inference(avatar_contradiction_clause,[],[f76515]) ).
thf(f76518,plain,
( $false
| ~ spl2_38
| spl2_139
| ~ spl2_181
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f76514,f9399]) ).
thf(f76519,plain,
( ~ spl2_38
| spl2_139
| ~ spl2_181
| ~ spl2_371 ),
inference(avatar_contradiction_clause,[],[f76518]) ).
thf(f76723,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_65
| ~ spl2_140 ),
inference(constrained_superposition,[],[f1179,f3615]) ).
thf(f76724,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_65
| ~ spl2_198 ),
inference(constrained_superposition,[],[f1179,f5718]) ).
thf(f76733,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_65
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f76723]) ).
thf(f76734,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_65
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f76724]) ).
thf(f76746,plain,
( ~ spl2_244
| ~ spl2_278
| ~ spl2_65
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f76733,f3614,f1178,f9002,f6684]) ).
thf(f76755,plain,
( spl2_226
| spl2_204
| spl2_308
| spl2_278
| spl2_83 ),
inference(avatar_split_clause,[],[f58489,f2307,f9002,f10829,f5738,f5973]) ).
thf(f76756,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_65
| ~ spl2_198
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f76734,f6715]) ).
thf(f76760,plain,
( ~ spl2_246
| ~ spl2_65
| ~ spl2_198
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f76756,f6714,f5717,f1178,f6697]) ).
thf(f76797,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f3327,f1674]) ).
thf(f76800,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f76797]) ).
thf(f76868,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_65
| ~ spl2_178 ),
inference(constrained_superposition,[],[f1179,f5382]) ).
thf(f76873,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_65
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f76868]) ).
thf(f76878,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_65
| ~ spl2_94
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f76873,f2532]) ).
thf(f76879,plain,
( $false
| ~ spl2_65
| ~ spl2_94
| ~ spl2_132
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f76878,f3407]) ).
thf(f76880,plain,
( ~ spl2_65
| ~ spl2_94
| ~ spl2_132
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f76879]) ).
thf(f76887,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(constrained_superposition,[],[f632,f5739]) ).
thf(f76897,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f76887]) ).
thf(f76919,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_203
| ~ spl2_306 ),
inference(constrained_superposition,[],[f5735,f10718]) ).
thf(f76925,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_306
| spl2_307 ),
inference(constrained_superposition,[],[f18677,f10718]) ).
thf(f77032,plain,
( $false
| ~ spl2_232
| ~ spl2_306
| spl2_307 ),
inference(forward_subsumption_resolution,[],[f76925,f6289]) ).
thf(f77033,plain,
( ~ spl2_232
| ~ spl2_306
| spl2_307 ),
inference(avatar_contradiction_clause,[],[f77032]) ).
thf(f77034,plain,
( $false
| ~ spl2_98
| spl2_203
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f76919,f2725]) ).
thf(f77035,plain,
( ~ spl2_98
| spl2_203
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f77034]) ).
thf(f77079,plain,
( ( $true != $true )
| ~ spl2_123
| spl2_307 ),
inference(constrained_superposition,[],[f18677,f76800]) ).
thf(f77082,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_123
| ~ spl2_208 ),
inference(constrained_superposition,[],[f67984,f76800]) ).
thf(f77087,plain,
( $false
| ~ spl2_123
| spl2_307 ),
inference(trivial_inequality_removal,[],[f77079]) ).
thf(f77088,plain,
( ~ spl2_123
| spl2_307 ),
inference(avatar_contradiction_clause,[],[f77087]) ).
thf(f77089,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_123
| ~ spl2_208 ),
inference(duplicate_literal_removal,[],[f77082]) ).
thf(f77090,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f77089]) ).
thf(f77093,plain,
( spl2_363
| ~ spl2_123
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f77090,f5752,f3326,f19269]) ).
thf(f77124,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_244
| ~ spl2_556 ),
inference(constrained_superposition,[],[f12690,f58086]) ).
thf(f77125,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_254
| ~ spl2_556 ),
inference(constrained_superposition,[],[f7902,f58086]) ).
thf(f77142,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_254
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f77125]) ).
thf(f77143,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_244
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f77124]) ).
thf(f77147,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_254
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f77142,f41]) ).
thf(f77148,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_244
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f77143,f41]) ).
thf(f77149,plain,
( spl2_269
| spl2_254
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f77147,f58085,f7068,f8056]) ).
thf(f77150,plain,
( $false
| spl2_244
| spl2_278
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f77148,f73780]) ).
thf(f77151,plain,
( spl2_244
| spl2_278
| ~ spl2_556 ),
inference(avatar_contradiction_clause,[],[f77150]) ).
thf(f77164,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_258
| ~ spl2_475 ),
inference(constrained_superposition,[],[f36641,f7258]) ).
thf(f77169,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_258
| ~ spl2_475 ),
inference(trivial_inequality_removal,[],[f77164]) ).
thf(f77217,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_355 ),
inference(constrained_superposition,[],[f76897,f18373]) ).
thf(f77222,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f77217]) ).
thf(f77224,plain,
( $false
| ~ spl2_44
| ~ spl2_188
| ~ spl2_204
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f77222,f5499]) ).
thf(f77225,plain,
( ~ spl2_44
| ~ spl2_188
| ~ spl2_204
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f77224]) ).
thf(f77227,definition,
( spl2_747
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_747])],[avatar_definition]) ).
thf(f77228,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_747 ),
inference(avatar_component_clause,[],[f77227]) ).
thf(f77397,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) ) )
| ~ spl2_272 ),
inference(constrained_superposition,[],[f8279,f188]) ).
thf(f77400,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f77397]) ).
thf(f77443,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_442
| ~ spl2_456 ),
inference(constrained_superposition,[],[f36119,f33508]) ).
thf(f77448,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_442
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f77443]) ).
thf(f77453,plain,
( $false
| ~ spl2_194
| ~ spl2_442
| ~ spl2_456 ),
inference(forward_subsumption_resolution,[],[f77448,f5705]) ).
thf(f77454,plain,
( ~ spl2_194
| ~ spl2_442
| ~ spl2_456 ),
inference(avatar_contradiction_clause,[],[f77453]) ).
thf(f77479,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_269 ),
inference(constrained_superposition,[],[f27,f9492]) ).
thf(f77482,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_269 ),
inference(trivial_inequality_removal,[],[f77479]) ).
thf(f77632,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_189
| ~ spl2_590 ),
inference(constrained_superposition,[],[f5503,f61129]) ).
thf(f77636,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_189
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f77632]) ).
thf(f77642,plain,
( ~ spl2_141
| ~ spl2_189
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f77636,f61128,f5502,f3617]) ).
thf(f77771,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_427 ),
inference(constrained_superposition,[],[f41497,f36647]) ).
thf(f77774,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_427 ),
inference(trivial_inequality_removal,[],[f77771]) ).
thf(f77778,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f5385,f51]) ).
thf(f77784,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f5385,f1673]) ).
thf(f77789,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f77778]) ).
thf(f77792,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f77784]) ).
thf(f77800,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_217 ),
inference(constrained_superposition,[],[f5859,f51]) ).
thf(f77813,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f77800]) ).
thf(f77818,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_208
| ~ spl2_543 ),
inference(constrained_superposition,[],[f54763,f5753]) ).
thf(f77826,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_208
| ~ spl2_543 ),
inference(trivial_inequality_removal,[],[f77818]) ).
thf(f77829,plain,
( $false
| ~ spl2_92
| ~ spl2_208
| ~ spl2_543 ),
inference(forward_subsumption_resolution,[],[f77826,f2449]) ).
thf(f77830,plain,
( ~ spl2_92
| ~ spl2_208
| ~ spl2_543 ),
inference(avatar_contradiction_clause,[],[f77829]) ).
thf(f77852,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_255
| ~ spl2_275 ),
inference(constrained_superposition,[],[f8378,f7073]) ).
thf(f77858,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_255
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f77852]) ).
thf(f77863,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_255
| ~ spl2_269
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f77858,f9492]) ).
thf(f77868,plain,
( $false
| ~ spl2_255
| ~ spl2_258
| ~ spl2_269
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f77863,f7258]) ).
thf(f77869,plain,
( ~ spl2_255
| ~ spl2_258
| ~ spl2_269
| ~ spl2_275 ),
inference(avatar_contradiction_clause,[],[f77868]) ).
thf(f77872,plain,
( spl2_742
| ~ spl2_140
| ~ spl2_258
| ~ spl2_475 ),
inference(avatar_split_clause,[],[f77169,f36640,f7257,f3614,f75381]) ).
thf(f77988,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_643 ),
inference(constrained_superposition,[],[f63879,f188]) ).
thf(f77998,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_643 ),
inference(trivial_inequality_removal,[],[f77988]) ).
thf(f78011,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_170
| ~ spl2_378 ),
inference(constrained_superposition,[],[f20688,f5318]) ).
thf(f78016,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_378 ),
inference(trivial_inequality_removal,[],[f78011]) ).
thf(f78021,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_249
| ~ spl2_378 ),
inference(forward_subsumption_resolution,[],[f78016,f6715]) ).
thf(f78023,plain,
( $false
| ~ spl2_170
| ~ spl2_198
| ~ spl2_249
| ~ spl2_378 ),
inference(forward_subsumption_resolution,[],[f78021,f5718]) ).
thf(f78024,plain,
( ~ spl2_170
| ~ spl2_198
| ~ spl2_249
| ~ spl2_378 ),
inference(avatar_contradiction_clause,[],[f78023]) ).
thf(f78043,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_224
| ~ spl2_442 ),
inference(constrained_superposition,[],[f5930,f33508]) ).
thf(f78047,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_224
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f78043]) ).
thf(f78050,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_224
| ~ spl2_254
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f78047,f7069]) ).
thf(f78051,plain,
( $false
| ~ spl2_224
| ~ spl2_254
| ~ spl2_269
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f78050,f9492]) ).
thf(f78052,plain,
( ~ spl2_224
| ~ spl2_254
| ~ spl2_269
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f78051]) ).
thf(f78091,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_173
| ~ spl2_685 ),
inference(constrained_superposition,[],[f70947,f5328]) ).
thf(f78100,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_173
| ~ spl2_685 ),
inference(trivial_inequality_removal,[],[f78091]) ).
thf(f78104,plain,
( spl2_249
| ~ spl2_26
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f77813,f5858,f285,f6714]) ).
thf(f78105,plain,
( ~ spl2_249
| spl2_225
| ~ spl2_173
| ~ spl2_685 ),
inference(avatar_split_clause,[],[f78100,f70946,f5327,f5933,f6714]) ).
thf(f78113,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| ~ spl2_643 ),
inference(forward_subsumption_resolution,[],[f77998,f385]) ).
thf(f78120,plain,
( ~ spl2_22
| spl2_204
| ~ spl2_17
| ~ spl2_643 ),
inference(avatar_split_clause,[],[f78113,f63878,f219,f5738,f271]) ).
thf(f78123,plain,
( spl2_98
| ~ spl2_429
| ~ spl2_38
| ~ spl2_427 ),
inference(avatar_split_clause,[],[f77774,f31760,f429,f31769,f2724]) ).
thf(f78148,plain,
( ( $true != $true )
| ~ spl2_250
| ~ spl2_465 ),
inference(constrained_superposition,[],[f36574,f11450]) ).
thf(f78151,plain,
( $false
| ~ spl2_250
| ~ spl2_465 ),
inference(trivial_inequality_removal,[],[f78148]) ).
thf(f78152,plain,
( ~ spl2_250
| ~ spl2_465 ),
inference(avatar_contradiction_clause,[],[f78151]) ).
thf(f78156,plain,
( spl2_255
| ~ spl2_77
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f77792,f5384,f2281,f7072]) ).
thf(f78192,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f27,f9003]) ).
thf(f78195,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f78192]) ).
thf(f78262,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f58,f6715]) ).
thf(f78265,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_249 ),
inference(duplicate_literal_removal,[],[f78262]) ).
thf(f78266,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f78265]) ).
thf(f78298,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_110
| ~ spl2_481 ),
inference(constrained_superposition,[],[f37191,f2965]) ).
thf(f78303,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110
| ~ spl2_481 ),
inference(trivial_inequality_removal,[],[f78298]) ).
thf(f78305,plain,
( spl2_132
| ~ spl2_110
| ~ spl2_481 ),
inference(avatar_split_clause,[],[f78303,f37190,f2964,f3406]) ).
thf(f78447,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_268
| ~ spl2_355 ),
inference(constrained_superposition,[],[f8054,f18373]) ).
thf(f78453,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_268
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f78447]) ).
thf(f78455,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_268
| ~ spl2_278
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f78453,f9003]) ).
thf(f78456,plain,
( $false
| ~ spl2_244
| ~ spl2_268
| ~ spl2_278
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f78455,f6685]) ).
thf(f78457,plain,
( ~ spl2_244
| ~ spl2_268
| ~ spl2_278
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f78456]) ).
thf(f78485,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_371
| ~ spl2_456 ),
inference(constrained_superposition,[],[f36119,f20310]) ).
thf(f78495,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_371
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f78485]) ).
thf(f78539,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_113
| ~ spl2_169 ),
inference(constrained_superposition,[],[f3067,f5314]) ).
thf(f78544,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_113
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f78539]) ).
thf(f78546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_113
| ~ spl2_169
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f78544,f9492]) ).
thf(f78547,plain,
( spl2_520
| ~ spl2_113
| ~ spl2_169
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f78546,f8056,f5313,f3066,f45311]) ).
thf(f78549,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_520
| ~ spl2_588 ),
inference(constrained_superposition,[],[f45312,f61121]) ).
thf(f78551,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_355
| ~ spl2_520 ),
inference(constrained_superposition,[],[f45312,f18373]) ).
thf(f78552,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_520 ),
inference(constrained_superposition,[],[f45312,f5314]) ).
thf(f78555,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_520
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f78549]) ).
thf(f78557,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_355
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f78551]) ).
thf(f78558,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_520 ),
inference(trivial_inequality_removal,[],[f78552]) ).
thf(f78560,plain,
( $false
| ~ spl2_249
| ~ spl2_520
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f78555,f6715]) ).
thf(f78561,plain,
( ~ spl2_249
| ~ spl2_520
| ~ spl2_588 ),
inference(avatar_contradiction_clause,[],[f78560]) ).
thf(f78564,plain,
( $false
| ~ spl2_278
| ~ spl2_355
| ~ spl2_520 ),
inference(forward_subsumption_resolution,[],[f78557,f9003]) ).
thf(f78565,plain,
( ~ spl2_278
| ~ spl2_355
| ~ spl2_520 ),
inference(avatar_contradiction_clause,[],[f78564]) ).
thf(f78566,plain,
( ~ spl2_132
| ~ spl2_169
| ~ spl2_520 ),
inference(avatar_split_clause,[],[f78558,f45311,f5313,f3406]) ).
thf(f78575,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_270
| ~ spl2_355 ),
inference(constrained_superposition,[],[f8085,f18373]) ).
thf(f78582,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_270
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f78575]) ).
thf(f78585,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_140
| ~ spl2_270
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f78582,f3615]) ).
thf(f78589,plain,
( $false
| ~ spl2_140
| ~ spl2_270
| ~ spl2_278
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f78585,f9003]) ).
thf(f78590,plain,
( ~ spl2_140
| ~ spl2_270
| ~ spl2_278
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f78589]) ).
thf(f78596,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_601 ),
inference(constrained_superposition,[],[f61834,f76]) ).
thf(f78601,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_601 ),
inference(trivial_inequality_removal,[],[f78596]) ).
thf(f78609,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_246
| ~ spl2_601 ),
inference(forward_subsumption_resolution,[],[f78601,f7325]) ).
thf(f78610,plain,
( ~ spl2_464
| spl2_246
| ~ spl2_601 ),
inference(avatar_split_clause,[],[f78609,f61833,f6697,f36568]) ).
thf(f78613,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_355
| ~ spl2_455 ),
inference(constrained_superposition,[],[f35954,f18373]) ).
thf(f78615,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_455 ),
inference(constrained_superposition,[],[f35954,f9003]) ).
thf(f78621,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_355
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f78613]) ).
thf(f78624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f78615]) ).
thf(f78626,plain,
( spl2_693
| ~ spl2_355
| ~ spl2_455 ),
inference(avatar_split_clause,[],[f78621,f35953,f18372,f72238]) ).
thf(f78628,definition,
( spl2_748
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_748])],[avatar_definition]) ).
thf(f78629,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_748 ),
inference(avatar_component_clause,[],[f78628]) ).
thf(f78631,plain,
( spl2_748
| ~ spl2_278
| ~ spl2_455 ),
inference(avatar_split_clause,[],[f78624,f35953,f9002,f78628]) ).
thf(f78635,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_244
| ~ spl2_748 ),
inference(constrained_superposition,[],[f78629,f6685]) ).
thf(f78643,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_244
| ~ spl2_748 ),
inference(trivial_inequality_removal,[],[f78635]) ).
thf(f78646,plain,
( $false
| ~ spl2_40
| ~ spl2_244
| ~ spl2_748 ),
inference(forward_subsumption_resolution,[],[f78643,f2064]) ).
thf(f78647,plain,
( ~ spl2_40
| ~ spl2_244
| ~ spl2_748 ),
inference(avatar_contradiction_clause,[],[f78646]) ).
thf(f78663,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_258
| ~ spl2_693 ),
inference(constrained_superposition,[],[f72239,f7258]) ).
thf(f78665,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_442
| ~ spl2_693 ),
inference(constrained_superposition,[],[f72239,f33508]) ).
thf(f78667,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_269
| ~ spl2_693 ),
inference(constrained_superposition,[],[f72239,f9492]) ).
thf(f78670,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_442
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f78665]) ).
thf(f78675,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_258
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f78663]) ).
thf(f78676,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_269
| ~ spl2_693 ),
inference(trivial_inequality_removal,[],[f78667]) ).
thf(f78677,plain,
( $false
| ~ spl2_173
| ~ spl2_442
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f78670,f5328]) ).
thf(f78678,plain,
( ~ spl2_173
| ~ spl2_442
| ~ spl2_693 ),
inference(avatar_contradiction_clause,[],[f78677]) ).
thf(f78680,plain,
( $false
| ~ spl2_140
| ~ spl2_258
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f78675,f3615]) ).
thf(f78681,plain,
( ~ spl2_140
| ~ spl2_258
| ~ spl2_693 ),
inference(avatar_contradiction_clause,[],[f78680]) ).
thf(f78682,plain,
( $false
| ~ spl2_269
| ~ spl2_278
| ~ spl2_693 ),
inference(forward_subsumption_resolution,[],[f78676,f9003]) ).
thf(f78683,plain,
( ~ spl2_269
| ~ spl2_278
| ~ spl2_693 ),
inference(avatar_contradiction_clause,[],[f78682]) ).
thf(f78686,plain,
( $false
| spl2_203
| ~ spl2_413 ),
inference(forward_subsumption_resolution,[],[f5735,f27244]) ).
thf(f78687,plain,
( spl2_203
| ~ spl2_413 ),
inference(avatar_contradiction_clause,[],[f78686]) ).
thf(f78689,plain,
( ~ spl2_204
| ~ spl2_371
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f78495,f36118,f20309,f5738]) ).
thf(f78691,plain,
( $false
| ~ spl2_211
| ~ spl2_465 ),
inference(forward_subsumption_resolution,[],[f5764,f36574]) ).
thf(f78692,plain,
( ~ spl2_211
| ~ spl2_465 ),
inference(avatar_contradiction_clause,[],[f78691]) ).
thf(f78701,plain,
( spl2_203
| spl2_252
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f78266,f6714,f6918,f5734]) ).
thf(f78948,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_37
| ~ spl2_206 ),
inference(constrained_superposition,[],[f426,f5746]) ).
thf(f78952,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_37
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f78948]) ).
thf(f78956,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_37
| ~ spl2_206
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f78952,f6715]) ).
thf(f78957,plain,
( spl2_225
| ~ spl2_37
| ~ spl2_206
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f78956,f6714,f5745,f425,f5933]) ).
thf(f79007,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_363 ),
inference(constrained_superposition,[],[f19270,f5314]) ).
thf(f79012,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f79007]) ).
thf(f79017,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_363
| ~ spl2_442 ),
inference(constrained_superposition,[],[f79012,f33508]) ).
thf(f79030,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_363
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f79017]) ).
thf(f79031,plain,
( $false
| ~ spl2_169
| ~ spl2_307
| ~ spl2_363
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f79030,f10721]) ).
thf(f79032,plain,
( ~ spl2_169
| ~ spl2_307
| ~ spl2_363
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f79031]) ).
thf(f79050,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_94
| ~ spl2_363 ),
inference(constrained_superposition,[],[f19270,f2532]) ).
thf(f79053,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f79050]) ).
thf(f79076,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_94
| ~ spl2_307
| ~ spl2_363 ),
inference(constrained_superposition,[],[f79053,f10721]) ).
thf(f79081,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_94
| ~ spl2_307
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f79076]) ).
thf(f79084,plain,
( $false
| ~ spl2_94
| ~ spl2_206
| ~ spl2_307
| ~ spl2_363 ),
inference(forward_subsumption_resolution,[],[f79081,f5746]) ).
thf(f79085,plain,
( ~ spl2_94
| ~ spl2_206
| ~ spl2_307
| ~ spl2_363 ),
inference(avatar_contradiction_clause,[],[f79084]) ).
thf(f79086,plain,
( ~ spl2_206
| ~ spl2_94
| ~ spl2_307
| ~ spl2_363 ),
inference(avatar_split_clause,[],[f79081,f19269,f10720,f2531,f5745]) ).
thf(f79090,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_90
| ~ spl2_246 ),
inference(constrained_superposition,[],[f2339,f6698]) ).
thf(f79092,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_90
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f79090]) ).
thf(f79095,plain,
( $false
| ~ spl2_90
| ~ spl2_246
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f79092,f6715]) ).
thf(f79096,plain,
( ~ spl2_90
| ~ spl2_246
| ~ spl2_249 ),
inference(avatar_contradiction_clause,[],[f79095]) ).
thf(f79112,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f58443,f5311]) ).
thf(f79128,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f79112]) ).
thf(f79144,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_168
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f79128,f5520]) ).
thf(f79149,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_132
| ~ spl2_168
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f79144,f8373]) ).
thf(f79151,plain,
( spl2_645
| spl2_132
| ~ spl2_168
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f79149,f5519,f5310,f3406,f63897]) ).
thf(f79178,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_234
| ~ spl2_748 ),
inference(constrained_superposition,[],[f78629,f6394]) ).
thf(f79184,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_234
| ~ spl2_748 ),
inference(trivial_inequality_removal,[],[f79178]) ).
thf(f79187,plain,
( $false
| ~ spl2_110
| ~ spl2_234
| ~ spl2_748 ),
inference(forward_subsumption_resolution,[],[f79184,f2965]) ).
thf(f79188,plain,
( ~ spl2_110
| ~ spl2_234
| ~ spl2_748 ),
inference(avatar_contradiction_clause,[],[f79187]) ).
thf(f79265,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_94
| ~ spl2_556 ),
inference(constrained_superposition,[],[f17773,f58086]) ).
thf(f79270,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_363
| ~ spl2_556 ),
inference(constrained_superposition,[],[f19270,f58086]) ).
thf(f79276,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_94
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f79265]) ).
thf(f79284,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_363
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f79270]) ).
thf(f79290,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_94
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f79276,f41]) ).
thf(f79291,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_363
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f79284,f41]) ).
thf(f79292,plain,
( $false
| spl2_94
| spl2_132
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f79290,f8373]) ).
thf(f79293,plain,
( spl2_94
| spl2_132
| ~ spl2_556 ),
inference(avatar_contradiction_clause,[],[f79292]) ).
thf(f79420,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f2250,f61118]) ).
thf(f79443,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f79420]) ).
thf(f79523,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_196
| ~ spl2_587 ),
inference(constrained_superposition,[],[f5711,f61118]) ).
thf(f79526,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_196
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f79523]) ).
thf(f79541,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_196
| ~ spl2_587 ),
inference(constrained_superposition,[],[f79526,f185]) ).
thf(f79542,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_196
| ~ spl2_587 ),
inference(constrained_superposition,[],[f79526,f78]) ).
thf(f79546,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_196
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f79542]) ).
thf(f79548,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_196
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f79541]) ).
thf(f79734,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_272 ),
inference(constrained_superposition,[],[f77400,f1674]) ).
thf(f79741,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_191
| ~ spl2_272 ),
inference(constrained_superposition,[],[f77400,f5520]) ).
thf(f79750,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_191
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f79741]) ).
thf(f79753,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f79734]) ).
thf(f79760,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_188
| ~ spl2_191
| ~ spl2_272 ),
inference(forward_subsumption_resolution,[],[f79750,f11313]) ).
thf(f79761,plain,
( ~ spl2_77
| spl2_548
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f79753,f8278,f55549,f2281]) ).
thf(f79764,plain,
( ~ spl2_26
| spl2_188
| ~ spl2_191
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f79760,f8278,f5519,f5498,f285]) ).
thf(f79769,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f74086,f76]) ).
thf(f79771,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f74086,f188]) ).
thf(f79772,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f79769]) ).
thf(f79773,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f79771]) ).
thf(f79857,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_705 ),
inference(constrained_superposition,[],[f72951,f5328]) ).
thf(f79861,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_705 ),
inference(trivial_inequality_removal,[],[f79857]) ).
thf(f79864,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_204
| ~ spl2_705 ),
inference(forward_subsumption_resolution,[],[f79861,f5739]) ).
thf(f79865,plain,
( $false
| ~ spl2_173
| ~ spl2_204
| ~ spl2_371
| ~ spl2_705 ),
inference(forward_subsumption_resolution,[],[f79864,f20310]) ).
thf(f79866,plain,
( ~ spl2_173
| ~ spl2_204
| ~ spl2_371
| ~ spl2_705 ),
inference(avatar_contradiction_clause,[],[f79865]) ).
thf(f79941,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f78195,f50]) ).
thf(f79942,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_278
| ~ spl2_371 ),
inference(constrained_superposition,[],[f78195,f20310]) ).
thf(f79946,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_278 ),
inference(duplicate_literal_removal,[],[f79941]) ).
thf(f79947,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f79946]) ).
thf(f79948,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f79942]) ).
thf(f79973,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_269
| ~ spl2_355 ),
inference(constrained_superposition,[],[f77482,f18373]) ).
thf(f79976,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_269
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f79973]) ).
thf(f79984,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_234
| ~ spl2_269
| ~ spl2_355 ),
inference(constrained_superposition,[],[f79976,f6394]) ).
thf(f79989,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_234
| ~ spl2_269
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f79984]) ).
thf(f79999,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_110
| ~ spl2_234
| ~ spl2_269
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f79989,f2965]) ).
thf(f80001,plain,
( spl2_394
| ~ spl2_110
| ~ spl2_234
| ~ spl2_269
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f79999,f18372,f8056,f6393,f2964,f24944]) ).
thf(f80100,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371 ),
inference(constrained_superposition,[],[f79948,f7073]) ).
thf(f80105,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f80100]) ).
thf(f80114,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_110
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f80105,f2965]) ).
thf(f80119,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_110
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371
| ~ spl2_442 ),
inference(constrained_superposition,[],[f80114,f33508]) ).
thf(f80134,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_110
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f80119]) ).
thf(f80213,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_191
| ~ spl2_712 ),
inference(constrained_superposition,[],[f73799,f5520]) ).
thf(f80217,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_191
| ~ spl2_712 ),
inference(trivial_inequality_removal,[],[f80213]) ).
thf(f80233,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_371
| ~ spl2_594 ),
inference(constrained_superposition,[],[f61230,f20310]) ).
thf(f80243,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_371
| ~ spl2_594 ),
inference(trivial_inequality_removal,[],[f80233]) ).
thf(f80253,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_140
| ~ spl2_371
| ~ spl2_594 ),
inference(forward_subsumption_resolution,[],[f80243,f3615]) ).
thf(f80256,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_140
| ~ spl2_371
| ~ spl2_594 ),
inference(constrained_superposition,[],[f80253,f20310]) ).
thf(f80260,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_371
| ~ spl2_594 ),
inference(trivial_inequality_removal,[],[f80256]) ).
thf(f80263,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_255
| ~ spl2_371
| ~ spl2_594 ),
inference(forward_subsumption_resolution,[],[f80260,f7073]) ).
thf(f80264,plain,
( $false
| ~ spl2_140
| ~ spl2_255
| ~ spl2_258
| ~ spl2_371
| ~ spl2_594 ),
inference(forward_subsumption_resolution,[],[f80263,f7258]) ).
thf(f80265,plain,
( ~ spl2_140
| ~ spl2_255
| ~ spl2_258
| ~ spl2_371
| ~ spl2_594 ),
inference(avatar_contradiction_clause,[],[f80264]) ).
thf(f80268,definition,
( spl2_750
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_750])],[avatar_definition]) ).
thf(f80269,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_750 ),
inference(avatar_component_clause,[],[f80268]) ).
thf(f80270,plain,
( spl2_132
| spl2_750
| ~ spl2_363
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f79291,f58085,f19269,f80268,f3406]) ).
thf(f80274,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_132
| ~ spl2_265 ),
inference(constrained_superposition,[],[f7955,f3407]) ).
thf(f80275,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_132
| ~ spl2_315 ),
inference(constrained_superposition,[],[f11416,f3407]) ).
thf(f80277,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_132
| ~ spl2_363 ),
inference(constrained_superposition,[],[f19270,f3407]) ).
thf(f80280,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_132
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f80277]) ).
thf(f80284,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_132
| ~ spl2_265 ),
inference(duplicate_literal_removal,[],[f80274]) ).
thf(f80285,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_132
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f80284]) ).
thf(f80287,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_132
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f80275]) ).
thf(f80288,plain,
( spl2_391
| ~ spl2_132
| ~ spl2_363 ),
inference(avatar_split_clause,[],[f80280,f19269,f3406,f23564]) ).
thf(f80290,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_40
| ~ spl2_132
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f80285,f2064]) ).
thf(f80291,plain,
( spl2_90
| ~ spl2_40
| ~ spl2_132
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f80290,f7954,f3406,f512,f2338]) ).
thf(f80294,plain,
( $false
| ~ spl2_196
| ~ spl2_587
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f61125,f79526]) ).
thf(f80295,plain,
( ~ spl2_196
| ~ spl2_587
| ~ spl2_589 ),
inference(avatar_contradiction_clause,[],[f80294]) ).
thf(f80300,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_93
| ~ spl2_196
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f79546,f61055]) ).
thf(f80301,plain,
( spl2_38
| spl2_139
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f79947,f9002,f3611,f429]) ).
thf(f80308,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_110
| ~ spl2_211
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f80134,f5764]) ).
thf(f80310,plain,
( spl2_177
| spl2_208
| ~ spl2_168
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f79443,f61117,f5310,f5752,f5377]) ).
thf(f80311,plain,
( spl2_21
| spl2_355
| ~ spl2_196
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f79548,f61117,f5710,f18372,f249]) ).
thf(f80321,plain,
( spl2_355
| spl2_93
| ~ spl2_196
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f80300,f61117,f5710,f2451,f18372]) ).
thf(f80323,plain,
( ~ spl2_208
| ~ spl2_110
| ~ spl2_211
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f80308,f33507,f20309,f9002,f7072,f5763,f2964,f5752]) ).
thf(f80337,plain,
( spl2_169
| spl2_182
| ~ spl2_191
| ~ spl2_712 ),
inference(avatar_split_clause,[],[f80217,f73798,f5519,f5475,f5313]) ).
thf(f80341,plain,
( ~ spl2_40
| ~ spl2_308
| ~ spl2_132
| ~ spl2_315 ),
inference(avatar_split_clause,[],[f80287,f11415,f3406,f10829,f512]) ).
thf(f80437,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_181
| ~ spl2_269 ),
inference(constrained_superposition,[],[f77482,f9399]) ).
thf(f80441,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_181
| ~ spl2_269 ),
inference(duplicate_literal_removal,[],[f80437]) ).
thf(f80442,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_181
| ~ spl2_269 ),
inference(trivial_inequality_removal,[],[f80441]) ).
thf(f80444,plain,
( spl2_38
| ~ spl2_181
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f80442,f8056,f5428,f429]) ).
thf(f80475,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_249
| ~ spl2_536 ),
inference(constrained_superposition,[],[f52588,f6715]) ).
thf(f80489,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_249
| ~ spl2_536 ),
inference(trivial_inequality_removal,[],[f80475]) ).
thf(f80496,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_110
| ~ spl2_249
| ~ spl2_536 ),
inference(forward_subsumption_resolution,[],[f80489,f2965]) ).
thf(f80497,plain,
( spl2_237
| ~ spl2_110
| ~ spl2_249
| ~ spl2_536 ),
inference(avatar_split_clause,[],[f80496,f52587,f6714,f2964,f6483]) ).
thf(f80590,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_208
| ~ spl2_252 ),
inference(constrained_superposition,[],[f6919,f5753]) ).
thf(f80591,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_208
| ~ spl2_334 ),
inference(constrained_superposition,[],[f13835,f5753]) ).
thf(f80594,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_208
| ~ spl2_381 ),
inference(constrained_superposition,[],[f21781,f5753]) ).
thf(f80604,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_208
| ~ spl2_381 ),
inference(trivial_inequality_removal,[],[f80594]) ).
thf(f80610,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_208
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f80590]) ).
thf(f80611,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_208
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f80591]) ).
thf(f80613,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_178
| ~ spl2_208
| ~ spl2_381 ),
inference(forward_subsumption_resolution,[],[f80604,f5382]) ).
thf(f80616,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_132
| ~ spl2_208
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f80610,f3407]) ).
thf(f80617,plain,
( spl2_275
| ~ spl2_178
| ~ spl2_208
| ~ spl2_381 ),
inference(avatar_split_clause,[],[f80613,f21780,f5752,f5381,f8377]) ).
thf(f80619,plain,
( spl2_237
| ~ spl2_132
| ~ spl2_208
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f80616,f6918,f5752,f3406,f6483]) ).
thf(f80699,plain,
( spl2_269
| ~ spl2_26
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f77789,f5384,f285,f8056]) ).
thf(f80701,definition,
( spl2_753
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_753])],[avatar_definition]) ).
thf(f80702,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_753 ),
inference(avatar_component_clause,[],[f80701]) ).
thf(f80756,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_237 ),
inference(constrained_superposition,[],[f6484,f5753]) ).
thf(f80759,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f80756]) ).
thf(f80763,plain,
( $false
| ~ spl2_208
| ~ spl2_237
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f80759,f6715]) ).
thf(f80764,plain,
( ~ spl2_208
| ~ spl2_237
| ~ spl2_249 ),
inference(avatar_contradiction_clause,[],[f80763]) ).
thf(f80765,plain,
( spl2_238
| ~ spl2_94
| ~ spl2_208
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f80611,f13834,f5752,f2531,f6487]) ).
thf(f80766,plain,
( spl2_169
| ~ spl2_183
| spl2_132
| spl2_182
| spl2_299 ),
inference(avatar_split_clause,[],[f58438,f10334,f5475,f3406,f5480,f5313]) ).
thf(f80768,definition,
( spl2_754
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_754])],[avatar_definition]) ).
thf(f80769,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_754 ),
inference(avatar_component_clause,[],[f80768]) ).
thf(f80815,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_301
| ~ spl2_391 ),
inference(constrained_superposition,[],[f23565,f10416]) ).
thf(f80818,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_301
| ~ spl2_391 ),
inference(trivial_inequality_removal,[],[f80815]) ).
thf(f80823,plain,
( $false
| ~ spl2_250
| ~ spl2_301
| ~ spl2_391 ),
inference(forward_subsumption_resolution,[],[f80818,f11450]) ).
thf(f80824,plain,
( ~ spl2_250
| ~ spl2_301
| ~ spl2_391 ),
inference(avatar_contradiction_clause,[],[f80823]) ).
thf(f80830,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_169
| ~ spl2_315 ),
inference(constrained_superposition,[],[f11416,f5314]) ).
thf(f80831,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_341 ),
inference(constrained_superposition,[],[f14013,f5314]) ).
thf(f80836,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_169
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f80830]) ).
thf(f80837,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_169
| ~ spl2_341 ),
inference(trivial_inequality_removal,[],[f80831]) ).
thf(f80891,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_180
| ~ spl2_532 ),
inference(constrained_superposition,[],[f51838,f5477]) ).
thf(f80896,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_180
| ~ spl2_532 ),
inference(trivial_inequality_removal,[],[f80891]) ).
thf(f80911,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_381 ),
inference(constrained_superposition,[],[f21781,f5318]) ).
thf(f80919,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_170
| ~ spl2_381 ),
inference(trivial_inequality_removal,[],[f80911]) ).
thf(f80925,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_140
| ~ spl2_170
| ~ spl2_381 ),
inference(forward_subsumption_resolution,[],[f80919,f3615]) ).
thf(f80927,plain,
( spl2_378
| ~ spl2_140
| ~ spl2_170
| ~ spl2_381 ),
inference(avatar_split_clause,[],[f80925,f21780,f5317,f3614,f20687]) ).
thf(f81018,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_238
| ~ spl2_255 ),
inference(constrained_superposition,[],[f6488,f7073]) ).
thf(f81026,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_238
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f81018]) ).
thf(f81075,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_214
| ~ spl2_371 ),
inference(constrained_superposition,[],[f5805,f20310]) ).
thf(f81081,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_214
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f81075]) ).
thf(f81088,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_275 ),
inference(constrained_superposition,[],[f8378,f5753]) ).
thf(f81092,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f81088]) ).
thf(f81190,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_371
| ~ spl2_754 ),
inference(constrained_superposition,[],[f80769,f20310]) ).
thf(f81197,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_371
| ~ spl2_754 ),
inference(trivial_inequality_removal,[],[f81190]) ).
thf(f81214,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_412 ),
inference(constrained_superposition,[],[f27121,f3615]) ).
thf(f81215,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_355
| ~ spl2_412 ),
inference(constrained_superposition,[],[f27121,f18373]) ).
thf(f81221,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f81214]) ).
thf(f81223,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_355
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f81215]) ).
thf(f81224,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_20
| ~ spl2_140
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f81221,f247]) ).
thf(f81225,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_180
| ~ spl2_355
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f81223,f5477]) ).
thf(f81226,plain,
( $false
| ~ spl2_20
| ~ spl2_140
| ~ spl2_178
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f81224,f5382]) ).
thf(f81227,plain,
( ~ spl2_20
| ~ spl2_140
| ~ spl2_178
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f81226]) ).
thf(f81228,plain,
( $false
| ~ spl2_169
| ~ spl2_180
| ~ spl2_355
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f81225,f5314]) ).
thf(f81229,plain,
( ~ spl2_169
| ~ spl2_180
| ~ spl2_355
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f81228]) ).
thf(f81233,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_625 ),
inference(constrained_superposition,[],[f63676,f76]) ).
thf(f81239,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_625 ),
inference(trivial_inequality_removal,[],[f81233]) ).
thf(f81246,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_254
| ~ spl2_625 ),
inference(forward_subsumption_resolution,[],[f81239,f7902]) ).
thf(f81248,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| spl2_254
| ~ spl2_625 ),
inference(forward_subsumption_resolution,[],[f81246,f421]) ).
thf(f81250,plain,
( ~ spl2_75
| ~ spl2_4
| spl2_254
| ~ spl2_625 ),
inference(avatar_split_clause,[],[f81248,f63675,f7068,f89,f2273]) ).
thf(f81286,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_613 ),
inference(constrained_superposition,[],[f63565,f187]) ).
thf(f81289,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_613 ),
inference(trivial_inequality_removal,[],[f81286]) ).
thf(f81297,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| ~ spl2_613 ),
inference(forward_subsumption_resolution,[],[f81289,f385]) ).
thf(f81299,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| spl2_258
| ~ spl2_613 ),
inference(forward_subsumption_resolution,[],[f81297,f8082]) ).
thf(f81301,plain,
( ~ spl2_195
| ~ spl2_17
| spl2_258
| ~ spl2_613 ),
inference(avatar_split_clause,[],[f81299,f63564,f7257,f219,f5707]) ).
thf(f81361,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_255
| ~ spl2_371
| ~ spl2_754 ),
inference(forward_subsumption_resolution,[],[f81197,f7073]) ).
thf(f81364,plain,
( ~ spl2_254
| ~ spl2_269
| ~ spl2_238
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f81026,f7072,f6487,f8056,f7068]) ).
thf(f81365,plain,
( ~ spl2_269
| ~ spl2_254
| ~ spl2_214
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f81081,f20309,f5804,f7068,f8056]) ).
thf(f81367,plain,
( ~ spl2_254
| ~ spl2_255
| ~ spl2_371
| ~ spl2_754 ),
inference(avatar_split_clause,[],[f81361,f80768,f20309,f7072,f7068]) ).
thf(f81426,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_364
| ~ spl2_371 ),
inference(constrained_superposition,[],[f19409,f20310]) ).
thf(f81429,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_364
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f81426]) ).
thf(f81434,plain,
( $false
| ~ spl2_254
| ~ spl2_364
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f81429,f7069]) ).
thf(f81435,plain,
( ~ spl2_254
| ~ spl2_364
| ~ spl2_371 ),
inference(avatar_contradiction_clause,[],[f81434]) ).
thf(f81439,plain,
( ~ spl2_150
| ~ spl2_29
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f75082,f2755,f350,f4024]) ).
thf(f81441,plain,
( ~ spl2_198
| ~ spl2_249
| ~ spl2_208
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f81092,f8377,f5752,f6714,f5717]) ).
thf(f81442,plain,
( ~ spl2_150
| ~ spl2_20
| ~ spl2_646 ),
inference(avatar_split_clause,[],[f76254,f63904,f246,f4024]) ).
thf(f81447,definition,
( spl2_755
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_755])],[avatar_definition]) ).
thf(f81448,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_755 ),
inference(avatar_component_clause,[],[f81447]) ).
thf(f81457,plain,
( ~ spl2_150
| ~ spl2_180
| ~ spl2_532 ),
inference(avatar_split_clause,[],[f80896,f51837,f5425,f4024]) ).
thf(f81463,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_169
| ~ spl2_180
| ~ spl2_341 ),
inference(forward_subsumption_resolution,[],[f80837,f5477]) ).
thf(f81465,plain,
( ~ spl2_254
| ~ spl2_188
| ~ spl2_169
| ~ spl2_315 ),
inference(avatar_split_clause,[],[f80836,f11415,f5313,f5498,f7068]) ).
thf(f81478,plain,
( ~ spl2_188
| ~ spl2_169
| ~ spl2_180
| ~ spl2_341 ),
inference(avatar_split_clause,[],[f81463,f14012,f5425,f5313,f5498]) ).
thf(f81492,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f118,f51]) ).
thf(f81495,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f81492]) ).
thf(f81499,plain,
( spl2_149
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f81495,f117,f4018]) ).
thf(f81553,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_278
| ~ spl2_375 ),
inference(constrained_superposition,[],[f20419,f9003]) ).
thf(f81559,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_278
| ~ spl2_375 ),
inference(trivial_inequality_removal,[],[f81553]) ).
thf(f81577,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_17
| ~ spl2_203 ),
inference(constrained_superposition,[],[f79773,f5800]) ).
thf(f81604,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f81577]) ).
thf(f81608,plain,
( spl2_194
| spl2_217
| ~ spl2_17
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f81604,f5734,f219,f5858,f5704]) ).
thf(f81627,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f430,f50]) ).
thf(f81632,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f81627]) ).
thf(f81819,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_307
| ~ spl2_391 ),
inference(constrained_superposition,[],[f23565,f10721]) ).
thf(f81821,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_307 ),
inference(constrained_superposition,[],[f81632,f10721]) ).
thf(f81823,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f81821]) ).
thf(f81827,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_307
| ~ spl2_391 ),
inference(trivial_inequality_removal,[],[f81819]) ).
thf(f81905,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_170 ),
inference(constrained_superposition,[],[f81632,f5318]) ).
thf(f81908,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f81905]) ).
thf(f81927,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_100
| ~ spl2_172 ),
inference(constrained_superposition,[],[f2737,f5325]) ).
thf(f81959,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_100
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f81927]) ).
thf(f82084,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_269
| ~ spl2_456 ),
inference(constrained_superposition,[],[f36119,f9492]) ).
thf(f82085,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_269
| ~ spl2_692 ),
inference(constrained_superposition,[],[f72066,f9492]) ).
thf(f82091,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_269
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f82085]) ).
thf(f82092,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_269
| ~ spl2_456 ),
inference(trivial_inequality_removal,[],[f82084]) ).
thf(f82095,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_149
| ~ spl2_269
| ~ spl2_692 ),
inference(forward_subsumption_resolution,[],[f82091,f4019]) ).
thf(f82096,plain,
( ~ spl2_308
| ~ spl2_269
| ~ spl2_456 ),
inference(avatar_split_clause,[],[f82092,f36118,f8056,f10829]) ).
thf(f82097,plain,
( $false
| ~ spl2_132
| ~ spl2_149
| ~ spl2_269
| ~ spl2_692 ),
inference(forward_subsumption_resolution,[],[f82095,f3407]) ).
thf(f82098,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_269
| ~ spl2_692 ),
inference(avatar_contradiction_clause,[],[f82097]) ).
thf(f82166,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_543
| ~ spl2_588 ),
inference(constrained_superposition,[],[f54763,f61121]) ).
thf(f82175,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_543
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f82166]) ).
thf(f82176,plain,
( $false
| ~ spl2_188
| ~ spl2_543
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f82175,f5499]) ).
thf(f82177,plain,
( ~ spl2_188
| ~ spl2_543
| ~ spl2_588 ),
inference(avatar_contradiction_clause,[],[f82176]) ).
thf(f82180,plain,
( ~ spl2_211
| spl2_139
| ~ spl2_38
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f81908,f5317,f429,f3611,f5763]) ).
thf(f82181,plain,
( ~ spl2_211
| ~ spl2_307
| ~ spl2_391 ),
inference(avatar_split_clause,[],[f81827,f23564,f10720,f5763]) ).
thf(f82182,plain,
( ~ spl2_139
| ~ spl2_195
| spl2_194
| ~ spl2_100
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f81959,f5324,f2736,f5704,f5707,f3611]) ).
thf(f82187,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_110
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f81823,f2965]) ).
thf(f82192,plain,
( spl2_203
| ~ spl2_38
| ~ spl2_110
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f82187,f10720,f2964,f429,f5734]) ).
thf(f82202,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_139
| ~ spl2_555 ),
inference(constrained_superposition,[],[f58083,f5793]) ).
thf(f82211,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f28,f5793]) ).
thf(f82222,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f82211]) ).
thf(f82230,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f82202]) ).
thf(f82269,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(constrained_superposition,[],[f632,f5739]) ).
thf(f82278,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f82269]) ).
thf(f82381,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f83,f61125]) ).
thf(f82417,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f82381]) ).
thf(f82439,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f60,f61129]) ).
thf(f82471,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f82439]) ).
thf(f82509,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_139
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f82471,f5793]) ).
thf(f82512,plain,
( spl2_226
| spl2_269
| ~ spl2_139
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f82509,f61128,f3611,f8056,f5973]) ).
thf(f82535,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_278 ),
inference(constrained_superposition,[],[f82278,f9003]) ).
thf(f82541,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f82535]) ).
thf(f82579,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_100
| ~ spl2_586 ),
inference(constrained_superposition,[],[f2737,f61114]) ).
thf(f82580,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_74
| ~ spl2_586 ),
inference(constrained_superposition,[],[f2067,f61114]) ).
thf(f82590,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_100
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f82579]) ).
thf(f82604,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f82580]) ).
thf(f82706,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_191
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f82604,f5520]) ).
thf(f82712,plain,
( spl2_202
| ~ spl2_139
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f82230,f58082,f3611,f5731]) ).
thf(f82717,plain,
( ~ spl2_247
| spl2_206
| ~ spl2_74
| ~ spl2_191
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f82706,f61113,f5519,f2066,f5745,f6703]) ).
thf(f82850,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_229
| ~ spl2_589 ),
inference(constrained_superposition,[],[f5985,f61125]) ).
thf(f82856,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_229
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f82850]) ).
thf(f82861,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f9899,f51]) ).
thf(f82863,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f9899,f77]) ).
thf(f82864,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f82861]) ).
thf(f82865,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f82863]) ).
thf(f83032,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_363 ),
inference(constrained_superposition,[],[f19270,f5314]) ).
thf(f83038,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f83032]) ).
thf(f83056,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f82865,f1673]) ).
thf(f83057,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f82865,f1674]) ).
thf(f83075,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f83057]) ).
thf(f83081,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f83056]) ).
thf(f83169,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_188
| ~ spl2_323 ),
inference(constrained_superposition,[],[f12520,f5499]) ).
thf(f83170,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_204
| ~ spl2_323 ),
inference(constrained_superposition,[],[f12520,f5739]) ).
thf(f83173,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_204
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f83170]) ).
thf(f83174,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_188
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f83169]) ).
thf(f83178,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_204
| ~ spl2_278
| ~ spl2_323 ),
inference(forward_subsumption_resolution,[],[f83173,f9003]) ).
thf(f83179,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_188
| ~ spl2_269
| ~ spl2_323 ),
inference(forward_subsumption_resolution,[],[f83174,f9492]) ).
thf(f83180,plain,
( spl2_214
| ~ spl2_204
| ~ spl2_278
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f83178,f12519,f9002,f5738,f5804]) ).
thf(f83181,plain,
( spl2_268
| ~ spl2_188
| ~ spl2_269
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f83179,f12519,f8056,f5498,f8053]) ).
thf(f83190,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_317
| ~ spl2_586 ),
inference(constrained_superposition,[],[f11449,f61114]) ).
thf(f83205,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_317
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f83190]) ).
thf(f83206,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_317
| ~ spl2_586
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f83205,f61125]) ).
thf(f83207,plain,
( $false
| ~ spl2_191
| ~ spl2_317
| ~ spl2_586
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f83206,f5520]) ).
thf(f83208,plain,
( ~ spl2_191
| ~ spl2_317
| ~ spl2_586
| ~ spl2_589 ),
inference(avatar_contradiction_clause,[],[f83207]) ).
thf(f83242,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_627 ),
inference(constrained_superposition,[],[f63700,f188]) ).
thf(f83250,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_627 ),
inference(trivial_inequality_removal,[],[f83242]) ).
thf(f83256,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_17
| ~ spl2_627 ),
inference(forward_subsumption_resolution,[],[f83250,f385]) ).
thf(f83285,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f82222,f187]) ).
thf(f83287,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f82222,f1673]) ).
thf(f83288,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_139
| ~ spl2_589 ),
inference(constrained_superposition,[],[f82222,f61125]) ).
thf(f83291,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_139
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f83288]) ).
thf(f83292,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f83285]) ).
thf(f83293,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f83287]) ).
thf(f83301,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_139
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f82417,f5793]) ).
thf(f83306,plain,
( ~ spl2_191
| spl2_593
| ~ spl2_139
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f83291,f61124,f3611,f61222,f5519]) ).
thf(f83307,plain,
( spl2_194
| ~ spl2_191
| ~ spl2_176
| ~ spl2_100
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f82590,f61113,f2736,f5374,f5519,f5704]) ).
thf(f83309,plain,
( spl2_194
| ~ spl2_477
| ~ spl2_17
| ~ spl2_627 ),
inference(avatar_split_clause,[],[f83256,f63699,f219,f36656,f5704]) ).
thf(f83311,plain,
( ~ spl2_247
| ~ spl2_229
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f82856,f61124,f5984,f6703]) ).
thf(f83313,plain,
( ~ spl2_191
| spl2_703
| ~ spl2_139
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f83301,f61124,f3611,f72890,f5519]) ).
thf(f83356,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_363
| ~ spl2_371 ),
inference(constrained_superposition,[],[f83038,f20310]) ).
thf(f83363,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_363
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f83356]) ).
thf(f83366,plain,
( $false
| ~ spl2_169
| ~ spl2_301
| ~ spl2_363
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f83363,f10416]) ).
thf(f83367,plain,
( ~ spl2_169
| ~ spl2_301
| ~ spl2_363
| ~ spl2_371 ),
inference(avatar_contradiction_clause,[],[f83366]) ).
thf(f83374,definition,
( spl2_758
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_758])],[avatar_definition]) ).
thf(f83375,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_758 ),
inference(avatar_component_clause,[],[f83374]) ).
thf(f83383,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| spl2_29 ),
inference(forward_subsumption_resolution,[],[f79772,f3176]) ).
thf(f83385,definition,
( spl2_759
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_759])],[avatar_definition]) ).
thf(f83386,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_759 ),
inference(avatar_component_clause,[],[f83385]) ).
thf(f83387,plain,
( spl2_149
| spl2_759
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f82864,f9898,f83385,f4018]) ).
thf(f83389,plain,
( ~ spl2_4
| spl2_19
| ~ spl2_17
| spl2_29 ),
inference(avatar_split_clause,[],[f83383,f350,f219,f226,f89]) ).
thf(f83400,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_759 ),
inference(constrained_superposition,[],[f83386,f29]) ).
thf(f83406,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_759 ),
inference(trivial_inequality_removal,[],[f83400]) ).
thf(f83478,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_473 ),
inference(constrained_superposition,[],[f36625,f2311]) ).
thf(f83483,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_473 ),
inference(trivial_inequality_removal,[],[f83478]) ).
thf(f83484,plain,
( $false
| ~ spl2_20
| ~ spl2_84
| ~ spl2_473 ),
inference(forward_subsumption_resolution,[],[f83483,f247]) ).
thf(f83485,plain,
( ~ spl2_20
| ~ spl2_84
| ~ spl2_473 ),
inference(avatar_contradiction_clause,[],[f83484]) ).
thf(f83486,plain,
( spl2_549
| ~ spl2_75
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f83075,f9898,f2273,f55555]) ).
thf(f83487,plain,
( spl2_85
| spl2_84
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f83081,f9898,f2310,f2315]) ).
thf(f83527,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f3311,f51]) ).
thf(f83541,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f83527]) ).
thf(f83542,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_118
| spl2_132 ),
inference(forward_subsumption_resolution,[],[f83541,f8373]) ).
thf(f83543,plain,
( ~ spl2_7
| ~ spl2_118
| spl2_132 ),
inference(avatar_split_clause,[],[f83542,f3406,f3310,f113]) ).
thf(f84048,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_94
| ~ spl2_363 ),
inference(constrained_superposition,[],[f19270,f2532]) ).
thf(f84053,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_94
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f84048]) ).
thf(f84056,plain,
( spl2_750
| ~ spl2_94
| ~ spl2_363 ),
inference(avatar_split_clause,[],[f84053,f19269,f2531,f80268]) ).
thf(f84057,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_301
| ~ spl2_750 ),
inference(constrained_superposition,[],[f80269,f10416]) ).
thf(f84058,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_169
| ~ spl2_750 ),
inference(constrained_superposition,[],[f80269,f5314]) ).
thf(f84064,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_301
| ~ spl2_750 ),
inference(trivial_inequality_removal,[],[f84057]) ).
thf(f84066,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_169
| ~ spl2_750 ),
inference(trivial_inequality_removal,[],[f84058]) ).
thf(f84067,plain,
( $false
| ~ spl2_202
| ~ spl2_301
| ~ spl2_750 ),
inference(forward_subsumption_resolution,[],[f84064,f5732]) ).
thf(f84068,plain,
( ~ spl2_202
| ~ spl2_301
| ~ spl2_750 ),
inference(avatar_contradiction_clause,[],[f84067]) ).
thf(f84069,plain,
( $false
| ~ spl2_169
| ~ spl2_180
| ~ spl2_750 ),
inference(forward_subsumption_resolution,[],[f84066,f5477]) ).
thf(f84070,plain,
( ~ spl2_169
| ~ spl2_180
| ~ spl2_750 ),
inference(avatar_contradiction_clause,[],[f84069]) ).
thf(f84083,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_40
| ~ spl2_278
| ~ spl2_375 ),
inference(forward_subsumption_resolution,[],[f81559,f2064]) ).
thf(f84087,plain,
( ~ spl2_308
| ~ spl2_44
| ~ spl2_204
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f82541,f9002,f5738,f631,f10829]) ).
thf(f84105,plain,
( ~ spl2_308
| ~ spl2_40
| ~ spl2_278
| ~ spl2_375 ),
inference(avatar_split_clause,[],[f84083,f20418,f9002,f512,f10829]) ).
thf(f84120,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_308 ),
inference(constrained_superposition,[],[f27,f10830]) ).
thf(f84123,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f84120]) ).
thf(f84213,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f214,f188]) ).
thf(f84216,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f84213]) ).
thf(f84220,plain,
( spl2_558
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f84216,f213,f58092]) ).
thf(f84221,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_161
| ~ spl2_204 ),
inference(constrained_superposition,[],[f4159,f5739]) ).
thf(f84228,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_161
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f84221]) ).
thf(f84292,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_301 ),
inference(constrained_superposition,[],[f58,f10416]) ).
thf(f84297,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f84292]) ).
thf(f84344,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_473 ),
inference(constrained_superposition,[],[f36625,f50]) ).
thf(f84349,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_473 ),
inference(trivial_inequality_removal,[],[f84344]) ).
thf(f84353,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_98
| ~ spl2_473 ),
inference(forward_subsumption_resolution,[],[f84349,f3384]) ).
thf(f84360,plain,
( ~ spl2_31
| spl2_98
| ~ spl2_473 ),
inference(avatar_split_clause,[],[f84353,f36624,f2724,f379]) ).
thf(f84414,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_221 ),
inference(constrained_superposition,[],[f5874,f1673]) ).
thf(f84422,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f84414]) ).
thf(f84438,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_177 ),
inference(constrained_superposition,[],[f5378,f51]) ).
thf(f84447,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_177 ),
inference(trivial_inequality_removal,[],[f84438]) ).
thf(f84453,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_177
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f84447,f8057]) ).
thf(f84454,plain,
( ~ spl2_128
| ~ spl2_177
| spl2_269 ),
inference(avatar_split_clause,[],[f84453,f8056,f5377,f3386]) ).
thf(f84496,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_268
| ~ spl2_588 ),
inference(constrained_superposition,[],[f8054,f61121]) ).
thf(f84505,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_268
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f84496]) ).
thf(f84508,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_246
| ~ spl2_268
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f84505,f6698]) ).
thf(f84511,plain,
( $false
| ~ spl2_246
| ~ spl2_249
| ~ spl2_268
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f84508,f6715]) ).
thf(f84512,plain,
( ~ spl2_246
| ~ spl2_249
| ~ spl2_268
| ~ spl2_588 ),
inference(avatar_contradiction_clause,[],[f84511]) ).
thf(f84689,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_140
| ~ spl2_755 ),
inference(constrained_superposition,[],[f81448,f3615]) ).
thf(f84696,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_140
| ~ spl2_755 ),
inference(trivial_inequality_removal,[],[f84689]) ).
thf(f84767,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_317 ),
inference(constrained_superposition,[],[f11449,f1674]) ).
thf(f84776,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f84767]) ).
thf(f84962,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_308 ),
inference(constrained_superposition,[],[f84123,f50]) ).
thf(f84963,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_140
| ~ spl2_308 ),
inference(constrained_superposition,[],[f84123,f3615]) ).
thf(f84965,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_178
| ~ spl2_308 ),
inference(constrained_superposition,[],[f84123,f5382]) ).
thf(f84966,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_308 ),
inference(constrained_superposition,[],[f84123,f247]) ).
thf(f84968,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f84963]) ).
thf(f84970,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f84966]) ).
thf(f84971,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_178
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f84965]) ).
thf(f84972,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_308 ),
inference(duplicate_literal_removal,[],[f84962]) ).
thf(f84973,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f84972]) ).
thf(f84976,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_20
| ~ spl2_202
| ~ spl2_308 ),
inference(constrained_superposition,[],[f84970,f5732]) ).
thf(f84980,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_202
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f84976]) ).
thf(f85060,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_169
| ~ spl2_178
| ~ spl2_308 ),
inference(constrained_superposition,[],[f84971,f5314]) ).
thf(f85067,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_178
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f85060]) ).
thf(f85069,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_178
| ~ spl2_181
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f85067,f9399]) ).
thf(f85070,plain,
( spl2_445
| ~ spl2_169
| ~ spl2_178
| ~ spl2_181
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f85069,f10829,f5428,f5381,f5313,f33831]) ).
thf(f85136,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_140
| ~ spl2_308
| ~ spl2_355 ),
inference(constrained_superposition,[],[f84968,f18373]) ).
thf(f85140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_140
| ~ spl2_308
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f85136]) ).
thf(f85144,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_181
| ~ spl2_308
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f85140,f9399]) ).
thf(f85145,plain,
( spl2_694
| ~ spl2_140
| ~ spl2_181
| ~ spl2_308
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f85144,f18372,f10829,f5428,f3614,f72249]) ).
thf(f85157,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_249
| ~ spl2_334 ),
inference(constrained_superposition,[],[f13835,f6715]) ).
thf(f85166,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_249
| ~ spl2_334 ),
inference(duplicate_literal_removal,[],[f85157]) ).
thf(f85167,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_249
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f85166]) ).
thf(f85169,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_40
| ~ spl2_249
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f85167,f2064]) ).
thf(f85170,plain,
( spl2_90
| ~ spl2_40
| ~ spl2_249
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f85169,f13834,f6714,f512,f2338]) ).
thf(f85171,plain,
( ~ spl2_250
| spl2_329
| ~ spl2_20
| ~ spl2_202
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f84980,f10829,f5731,f246,f13252,f6719]) ).
thf(f85174,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_255 ),
inference(avatar_component_clause,[],[f7072]) ).
thf(f85176,plain,
( ~ spl2_250
| ~ spl2_161
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f84228,f5738,f4158,f6719]) ).
thf(f85182,plain,
( spl2_339
| spl2_98
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f84297,f10415,f2724,f13997]) ).
thf(f85183,plain,
( spl2_38
| spl2_17
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f84973,f10829,f219,f429]) ).
thf(f85186,plain,
( ~ spl2_98
| spl2_234
| spl2_207
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f83293,f3611,f5749,f6393,f2724]) ).
thf(f85196,plain,
( spl2_208
| ~ spl2_75
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f84422,f5873,f2273,f5752]) ).
thf(f85197,plain,
( spl2_307
| ~ spl2_98
| ~ spl2_324
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f84776,f11448,f12576,f2724,f10720]) ).
thf(f85198,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_140
| ~ spl2_755 ),
inference(forward_subsumption_resolution,[],[f84696,f247]) ).
thf(f85200,definition,
( spl2_761
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_761])],[avatar_definition]) ).
thf(f85201,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_761 ),
inference(avatar_component_clause,[],[f85200]) ).
thf(f85204,plain,
( ~ spl2_92
| ~ spl2_20
| ~ spl2_140
| ~ spl2_755 ),
inference(avatar_split_clause,[],[f85198,f81447,f3614,f246,f2448]) ).
thf(f85254,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f27,f2965]) ).
thf(f85255,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f85254]) ).
thf(f85329,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_36
| ~ spl2_178 ),
inference(constrained_superposition,[],[f420,f5382]) ).
thf(f85334,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_36
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f85329]) ).
thf(f85337,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_36
| ~ spl2_132
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f85334,f3407]) ).
thf(f85355,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_67 ),
inference(constrained_superposition,[],[f1229,f2734]) ).
thf(f85362,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_31
| ~ spl2_67 ),
inference(trivial_inequality_removal,[],[f85355]) ).
thf(f85369,plain,
( $false
| ~ spl2_31
| ~ spl2_40
| ~ spl2_67 ),
inference(forward_subsumption_resolution,[],[f85362,f2064]) ).
thf(f85370,plain,
( ~ spl2_31
| ~ spl2_40
| ~ spl2_67 ),
inference(avatar_contradiction_clause,[],[f85369]) ).
thf(f85414,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_226 ),
inference(constrained_superposition,[],[f5974,f187]) ).
thf(f85423,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f85414]) ).
thf(f85425,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_140
| ~ spl2_748 ),
inference(constrained_superposition,[],[f78629,f3615]) ).
thf(f85429,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_140
| ~ spl2_748 ),
inference(trivial_inequality_removal,[],[f85425]) ).
thf(f85436,plain,
( ~ spl2_31
| ~ spl2_140
| ~ spl2_748 ),
inference(avatar_split_clause,[],[f85429,f78628,f3614,f379]) ).
thf(f85557,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f28,f61129]) ).
thf(f85566,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f85557]) ).
thf(f85599,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_170
| ~ spl2_252 ),
inference(constrained_superposition,[],[f6919,f5318]) ).
thf(f85604,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_170
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f85599]) ).
thf(f85613,plain,
( spl2_215
| ~ spl2_278
| ~ spl2_170
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f85604,f6918,f5317,f9002,f5808]) ).
thf(f85625,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_748 ),
inference(constrained_superposition,[],[f78629,f5328]) ).
thf(f85631,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_173
| ~ spl2_748 ),
inference(trivial_inequality_removal,[],[f85625]) ).
thf(f85633,plain,
( $false
| ~ spl2_173
| ~ spl2_211
| ~ spl2_748 ),
inference(forward_subsumption_resolution,[],[f85631,f5764]) ).
thf(f85634,plain,
( ~ spl2_173
| ~ spl2_211
| ~ spl2_748 ),
inference(avatar_contradiction_clause,[],[f85633]) ).
thf(f85679,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_33
| ~ spl2_92 ),
inference(constrained_superposition,[],[f389,f2449]) ).
thf(f85685,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_33
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f85679]) ).
thf(f85687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_33
| ~ spl2_92
| ~ spl2_132 ),
inference(forward_subsumption_resolution,[],[f85685,f3407]) ).
thf(f85688,plain,
( spl2_237
| ~ spl2_33
| ~ spl2_92
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f85687,f3406,f2448,f388,f6483]) ).
thf(f85745,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_36
| ~ spl2_132
| ~ spl2_169
| ~ spl2_178 ),
inference(constrained_superposition,[],[f85337,f5314]) ).
thf(f85757,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_36
| ~ spl2_132
| ~ spl2_169
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f85745]) ).
thf(f85759,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_36
| ~ spl2_132
| ~ spl2_169
| ~ spl2_178
| ~ spl2_180 ),
inference(forward_subsumption_resolution,[],[f85757,f5477]) ).
thf(f85760,plain,
( $false
| ~ spl2_36
| ~ spl2_132
| ~ spl2_169
| ~ spl2_178
| ~ spl2_180
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f85759,f7258]) ).
thf(f85761,plain,
( ~ spl2_36
| ~ spl2_132
| ~ spl2_169
| ~ spl2_178
| ~ spl2_180
| ~ spl2_258 ),
inference(avatar_contradiction_clause,[],[f85760]) ).
thf(f85928,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_270 ),
inference(constrained_superposition,[],[f8085,f5314]) ).
thf(f85931,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f85928]) ).
thf(f85956,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_455 ),
inference(constrained_superposition,[],[f35954,f5328]) ).
thf(f85961,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f85956]) ).
thf(f85965,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_455
| ~ spl2_588 ),
inference(constrained_superposition,[],[f85961,f61121]) ).
thf(f85971,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_455
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f85965]) ).
thf(f86079,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_759 ),
inference(constrained_superposition,[],[f83406,f29]) ).
thf(f86080,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_759 ),
inference(trivial_inequality_removal,[],[f86079]) ).
thf(f86082,plain,
( spl2_167
| ~ spl2_759 ),
inference(avatar_split_clause,[],[f86080,f83385,f5295]) ).
thf(f86325,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110
| ~ spl2_169 ),
inference(constrained_superposition,[],[f85255,f5314]) ).
thf(f86335,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_110
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f86325]) ).
thf(f86337,plain,
( spl2_282
| ~ spl2_110
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f86335,f5313,f2964,f9404]) ).
thf(f86371,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_178
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f85931,f5382]) ).
thf(f86372,plain,
( spl2_140
| ~ spl2_17
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f85423,f5973,f219,f3614]) ).
thf(f86376,plain,
( ~ spl2_17
| spl2_197
| spl2_140
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f83292,f3611,f3614,f5714,f219]) ).
thf(f86383,plain,
( ~ spl2_355
| ~ spl2_173
| ~ spl2_455
| ~ spl2_588 ),
inference(avatar_split_clause,[],[f85971,f61120,f35953,f5327,f18372]) ).
thf(f86384,plain,
( ~ spl2_132
| ~ spl2_169
| ~ spl2_178
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f86371,f8084,f5381,f5313,f3406]) ).
thf(f86389,definition,
( spl2_766
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_766])],[avatar_definition]) ).
thf(f86390,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_766 ),
inference(avatar_component_clause,[],[f86389]) ).
thf(f86596,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_586
| ~ spl2_590 ),
inference(constrained_superposition,[],[f85566,f61114]) ).
thf(f86621,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_586
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f86596]) ).
thf(f86645,plain,
( spl2_196
| ~ spl2_172
| ~ spl2_586
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f86621,f61128,f61113,f5324,f5710]) ).
thf(f86719,definition,
( spl2_767
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_767])],[avatar_definition]) ).
thf(f86720,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_767 ),
inference(avatar_component_clause,[],[f86719]) ).
thf(f86970,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_94
| ~ spl2_110 ),
inference(constrained_superposition,[],[f85255,f2532]) ).
thf(f86973,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_94 ),
inference(constrained_superposition,[],[f27,f2532]) ).
thf(f86975,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_94
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f86970]) ).
thf(f86978,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f86973]) ).
thf(f86980,plain,
( spl2_265
| ~ spl2_94
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f86975,f2964,f2531,f7954]) ).
thf(f87116,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_376 ),
inference(constrained_superposition,[],[f20425,f50]) ).
thf(f87125,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_376 ),
inference(trivial_inequality_removal,[],[f87116]) ).
thf(f87199,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_94 ),
inference(constrained_superposition,[],[f86978,f50]) ).
thf(f87203,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f87199]) ).
thf(f87208,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_94
| spl2_98 ),
inference(forward_subsumption_resolution,[],[f87203,f3384]) ).
thf(f87211,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_94
| spl2_98
| ~ spl2_180 ),
inference(constrained_superposition,[],[f87208,f5477]) ).
thf(f87215,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_94
| spl2_98
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f87211]) ).
thf(f87220,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94
| spl2_98
| ~ spl2_180
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f87215,f9399]) ).
thf(f87224,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_94
| spl2_98
| ~ spl2_180
| ~ spl2_181
| ~ spl2_588 ),
inference(constrained_superposition,[],[f87220,f61121]) ).
thf(f87232,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_94
| spl2_98
| ~ spl2_180
| ~ spl2_181
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f87224]) ).
thf(f87300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_442
| ~ spl2_597 ),
inference(constrained_superposition,[],[f61363,f33508]) ).
thf(f87304,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_442
| ~ spl2_597 ),
inference(trivial_inequality_removal,[],[f87300]) ).
thf(f87341,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_139
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f87125,f3612]) ).
thf(f87345,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_94
| spl2_98
| ~ spl2_180
| ~ spl2_181
| ~ spl2_211
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f87232,f5764]) ).
thf(f87353,plain,
( ~ spl2_40
| ~ spl2_31
| spl2_139
| ~ spl2_376 ),
inference(avatar_split_clause,[],[f87341,f20424,f3611,f379,f512]) ).
thf(f87354,plain,
( ~ spl2_206
| ~ spl2_94
| spl2_98
| ~ spl2_180
| ~ spl2_181
| ~ spl2_211
| ~ spl2_588 ),
inference(avatar_split_clause,[],[f87345,f61120,f5763,f5428,f5425,f2724,f2531,f5745]) ).
thf(f87554,definition,
( spl2_775
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_775])],[avatar_definition]) ).
thf(f87555,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_775 ),
inference(avatar_component_clause,[],[f87554]) ).
thf(f87556,plain,
( ~ spl2_246
| spl2_775
| ~ spl2_442
| ~ spl2_597 ),
inference(avatar_split_clause,[],[f87304,f61362,f33507,f87554,f6697]) ).
thf(f87563,definition,
( spl2_777
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_777])],[avatar_definition]) ).
thf(f87564,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_777 ),
inference(avatar_component_clause,[],[f87563]) ).
thf(f87575,definition,
( spl2_779
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_779])],[avatar_definition]) ).
thf(f87576,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_779 ),
inference(avatar_component_clause,[],[f87575]) ).
thf(f87577,plain,
( ~ spl2_181
| spl2_779
| ~ spl2_94
| spl2_98
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f87215,f5425,f2724,f2531,f87575,f5428]) ).
thf(f87659,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_94
| spl2_98
| ~ spl2_202 ),
inference(constrained_superposition,[],[f87208,f5732]) ).
thf(f87669,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94
| spl2_98
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f87659]) ).
thf(f87711,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_269
| ~ spl2_597 ),
inference(constrained_superposition,[],[f61363,f9492]) ).
thf(f87714,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_269
| ~ spl2_597 ),
inference(trivial_inequality_removal,[],[f87711]) ).
thf(f87720,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_40
| ~ spl2_269
| ~ spl2_597 ),
inference(forward_subsumption_resolution,[],[f87714,f2064]) ).
thf(f87722,plain,
( spl2_238
| ~ spl2_40
| ~ spl2_269
| ~ spl2_597 ),
inference(avatar_split_clause,[],[f87720,f61362,f8056,f512,f6487]) ).
thf(f87810,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_265
| ~ spl2_307 ),
inference(constrained_superposition,[],[f7955,f10721]) ).
thf(f87817,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_265
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f87810]) ).
thf(f87819,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_246
| ~ spl2_265
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f87817,f6698]) ).
thf(f87820,plain,
( spl2_224
| ~ spl2_246
| ~ spl2_265
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f87819,f10720,f7954,f6697,f5929]) ).
thf(f87911,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_207 ),
inference(constrained_superposition,[],[f5750,f51]) ).
thf(f87919,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_207 ),
inference(trivial_inequality_removal,[],[f87911]) ).
thf(f87926,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_207
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f87919,f73780]) ).
thf(f87927,plain,
( ~ spl2_128
| ~ spl2_207
| spl2_278 ),
inference(avatar_split_clause,[],[f87926,f9002,f5749,f3386]) ).
thf(f87929,definition,
( spl2_780
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_780])],[avatar_definition]) ).
thf(f87930,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_780 ),
inference(avatar_component_clause,[],[f87929]) ).
thf(f87931,plain,
( spl2_780
| ~ spl2_250
| ~ spl2_94
| spl2_98
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f87669,f5731,f2724,f2531,f6719,f87929]) ).
thf(f87953,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f28,f385]) ).
thf(f87962,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f87953]) ).
thf(f88014,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_234
| ~ spl2_237 ),
inference(constrained_superposition,[],[f6484,f6394]) ).
thf(f88017,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_234
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f88014]) ).
thf(f88021,plain,
( $false
| ~ spl2_234
| ~ spl2_237
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f88017,f9003]) ).
thf(f88022,plain,
( ~ spl2_234
| ~ spl2_237
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f88021]) ).
thf(f88303,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f87962,f188]) ).
thf(f88307,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f88303]) ).
thf(f88313,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_766 ),
inference(constrained_superposition,[],[f86390,f5328]) ).
thf(f88315,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_766 ),
inference(trivial_inequality_removal,[],[f88313]) ).
thf(f88320,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_140
| ~ spl2_173
| ~ spl2_766 ),
inference(forward_subsumption_resolution,[],[f88315,f3615]) ).
thf(f88321,plain,
( $false
| ~ spl2_140
| ~ spl2_173
| ~ spl2_278
| ~ spl2_766 ),
inference(forward_subsumption_resolution,[],[f88320,f9003]) ).
thf(f88322,plain,
( ~ spl2_140
| ~ spl2_173
| ~ spl2_278
| ~ spl2_766 ),
inference(avatar_contradiction_clause,[],[f88321]) ).
thf(f88363,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_590
| ~ spl2_625 ),
inference(constrained_superposition,[],[f63676,f61129]) ).
thf(f88369,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_590
| ~ spl2_625 ),
inference(trivial_inequality_removal,[],[f88363]) ).
thf(f88373,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_139
| ~ spl2_590
| ~ spl2_625 ),
inference(forward_subsumption_resolution,[],[f88369,f5793]) ).
thf(f88374,plain,
( ~ spl2_324
| ~ spl2_139
| ~ spl2_590
| ~ spl2_625 ),
inference(avatar_split_clause,[],[f88373,f63675,f61128,f3611,f12576]) ).
thf(f88385,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_777 ),
inference(constrained_superposition,[],[f87564,f5328]) ).
thf(f88391,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_777 ),
inference(trivial_inequality_removal,[],[f88385]) ).
thf(f88392,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_234
| ~ spl2_777 ),
inference(forward_subsumption_resolution,[],[f88391,f6394]) ).
thf(f88393,plain,
( $false
| ~ spl2_173
| ~ spl2_234
| ~ spl2_278
| ~ spl2_777 ),
inference(forward_subsumption_resolution,[],[f88392,f9003]) ).
thf(f88394,plain,
( ~ spl2_173
| ~ spl2_234
| ~ spl2_278
| ~ spl2_777 ),
inference(avatar_contradiction_clause,[],[f88393]) ).
thf(f88411,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_775 ),
inference(constrained_superposition,[],[f87555,f50]) ).
thf(f88419,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_775 ),
inference(trivial_inequality_removal,[],[f88411]) ).
thf(f88421,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_110
| ~ spl2_775 ),
inference(forward_subsumption_resolution,[],[f88419,f2965]) ).
thf(f88424,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_110
| spl2_203
| ~ spl2_775 ),
inference(forward_subsumption_resolution,[],[f88421,f5735]) ).
thf(f88425,plain,
( $false
| ~ spl2_40
| ~ spl2_110
| spl2_203
| ~ spl2_775 ),
inference(forward_subsumption_resolution,[],[f88424,f2064]) ).
thf(f88426,plain,
( ~ spl2_40
| ~ spl2_110
| spl2_203
| ~ spl2_775 ),
inference(avatar_contradiction_clause,[],[f88425]) ).
thf(f88588,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_169
| ~ spl2_288 ),
inference(constrained_superposition,[],[f9734,f5314]) ).
thf(f88594,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f88588]) ).
thf(f88597,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_180
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f88594,f5477]) ).
thf(f88598,plain,
( spl2_692
| ~ spl2_169
| ~ spl2_180
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f88597,f9733,f5425,f5313,f72065]) ).
thf(f88679,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_17
| ~ spl2_139 ),
inference(constrained_superposition,[],[f88307,f5793]) ).
thf(f88681,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f88679]) ).
thf(f88776,plain,
( spl2_197
| spl2_204
| ~ spl2_17
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f88681,f3611,f219,f5738,f5714]) ).
thf(f88802,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_77 ),
inference(constrained_superposition,[],[f2282,f52]) ).
thf(f88805,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_77 ),
inference(trivial_inequality_removal,[],[f88802]) ).
thf(f88809,plain,
( spl2_21
| spl2_92
| spl2_77 ),
inference(avatar_split_clause,[],[f88805,f2281,f2448,f249]) ).
thf(f88812,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_92
| ~ spl2_238 ),
inference(constrained_superposition,[],[f6488,f2449]) ).
thf(f88819,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_92
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f88812]) ).
thf(f88888,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_269
| ~ spl2_358 ),
inference(constrained_superposition,[],[f18682,f9492]) ).
thf(f88890,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_269 ),
inference(constrained_superposition,[],[f58,f9492]) ).
thf(f88894,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_269
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f88888]) ).
thf(f88895,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_269 ),
inference(duplicate_literal_removal,[],[f88890]) ).
thf(f88896,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_269 ),
inference(trivial_inequality_removal,[],[f88895]) ).
thf(f88923,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f60,f5311]) ).
thf(f88953,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f88923]) ).
thf(f88967,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_168
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f88953,f5520]) ).
thf(f89059,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_197 ),
inference(constrained_superposition,[],[f5715,f51]) ).
thf(f89061,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_197 ),
inference(constrained_superposition,[],[f5715,f76]) ).
thf(f89065,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_197 ),
inference(constrained_superposition,[],[f5715,f1673]) ).
thf(f89070,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f89065]) ).
thf(f89071,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f89059]) ).
thf(f89072,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f89061]) ).
thf(f89291,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_92
| ~ spl2_102 ),
inference(constrained_superposition,[],[f2749,f2449]) ).
thf(f89295,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_92
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f89291]) ).
thf(f89321,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_110
| ~ spl2_556 ),
inference(constrained_superposition,[],[f85255,f58086]) ).
thf(f89334,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f89321]) ).
thf(f89357,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| spl2_246
| ~ spl2_556 ),
inference(constrained_superposition,[],[f7325,f58086]) ).
thf(f89359,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_246
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f89357]) ).
thf(f89361,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_246
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f89359,f41]) ).
thf(f89363,plain,
( $false
| spl2_246
| spl2_249
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f89361,f7326]) ).
thf(f89364,plain,
( spl2_246
| spl2_249
| ~ spl2_556 ),
inference(avatar_contradiction_clause,[],[f89363]) ).
thf(f89367,plain,
( spl2_182
| spl2_132
| ~ spl2_168
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f88967,f5519,f5310,f3406,f5475]) ).
thf(f89368,plain,
( spl2_353
| ~ spl2_94
| ~ spl2_92
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f89295,f2748,f2448,f2531,f17771]) ).
thf(f89369,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_269
| ~ spl2_278
| ~ spl2_358 ),
inference(forward_subsumption_resolution,[],[f88894,f9003]) ).
thf(f89372,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_92
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f88819,f351]) ).
thf(f89374,definition,
( spl2_781
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_781])],[avatar_definition]) ).
thf(f89375,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_781 ),
inference(avatar_component_clause,[],[f89374]) ).
thf(f89378,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_110
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f89334,f41]) ).
thf(f89380,plain,
( ~ spl2_132
| ~ spl2_269
| ~ spl2_278
| ~ spl2_358 ),
inference(avatar_split_clause,[],[f89369,f18681,f9002,f8056,f3406]) ).
thf(f89381,plain,
( ~ spl2_308
| ~ spl2_29
| ~ spl2_92
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f89372,f6487,f2448,f350,f10829]) ).
thf(f89382,plain,
( spl2_132
| spl2_265
| ~ spl2_110
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f89378,f58085,f2964,f7954,f3406]) ).
thf(f89385,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_102
| ~ spl2_308 ),
inference(constrained_superposition,[],[f2749,f10830]) ).
thf(f89388,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_102
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f89385]) ).
thf(f89392,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_40
| ~ spl2_102
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f89388,f2064]) ).
thf(f89393,plain,
( spl2_90
| ~ spl2_40
| ~ spl2_102
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f89392,f10829,f2748,f512,f2338]) ).
thf(f89400,plain,
( ~ spl2_77
| spl2_234
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f89070,f5714,f6393,f2281]) ).
thf(f89515,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_234
| ~ spl2_285 ),
inference(constrained_superposition,[],[f9498,f6394]) ).
thf(f89517,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_234
| ~ spl2_761 ),
inference(constrained_superposition,[],[f85201,f6394]) ).
thf(f89519,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_234
| ~ spl2_344 ),
inference(constrained_superposition,[],[f14344,f6394]) ).
thf(f89522,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_234
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f89519]) ).
thf(f89524,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_234
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f89515]) ).
thf(f89526,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_234
| ~ spl2_761 ),
inference(trivial_inequality_removal,[],[f89517]) ).
thf(f89546,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| spl2_428
| ~ spl2_556 ),
inference(constrained_superposition,[],[f31766,f58086]) ).
thf(f89549,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| spl2_428
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f89546]) ).
thf(f89554,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_428
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f89549,f41]) ).
thf(f89555,plain,
( spl2_732
| spl2_428
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f89554,f58085,f31765,f74001]) ).
thf(f89833,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_643 ),
inference(constrained_superposition,[],[f63879,f1674]) ).
thf(f89847,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_643 ),
inference(trivial_inequality_removal,[],[f89833]) ).
thf(f89862,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_375 ),
inference(constrained_superposition,[],[f20419,f5328]) ).
thf(f89871,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_173
| ~ spl2_375 ),
inference(trivial_inequality_removal,[],[f89862]) ).
thf(f89976,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_383
| ~ spl2_442 ),
inference(constrained_superposition,[],[f21828,f33508]) ).
thf(f89983,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_383
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f89976]) ).
thf(f89984,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_355
| ~ spl2_383
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f89983,f18373]) ).
thf(f89985,plain,
( $false
| ~ spl2_188
| ~ spl2_355
| ~ spl2_383
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f89984,f5499]) ).
thf(f89986,plain,
( ~ spl2_188
| ~ spl2_355
| ~ spl2_383
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f89985]) ).
thf(f89990,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_371
| ~ spl2_402 ),
inference(constrained_superposition,[],[f26251,f20310]) ).
thf(f90001,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_371
| ~ spl2_402 ),
inference(trivial_inequality_removal,[],[f89990]) ).
thf(f90005,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_140
| ~ spl2_371
| ~ spl2_402 ),
inference(forward_subsumption_resolution,[],[f90001,f3615]) ).
thf(f90011,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_371
| ~ spl2_402 ),
inference(constrained_superposition,[],[f90005,f20310]) ).
thf(f90015,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_371
| ~ spl2_402 ),
inference(trivial_inequality_removal,[],[f90011]) ).
thf(f90016,plain,
( $false
| ~ spl2_140
| ~ spl2_258
| ~ spl2_371
| ~ spl2_402 ),
inference(forward_subsumption_resolution,[],[f90015,f7258]) ).
thf(f90017,plain,
( ~ spl2_140
| ~ spl2_258
| ~ spl2_371
| ~ spl2_402 ),
inference(avatar_contradiction_clause,[],[f90016]) ).
thf(f90022,plain,
( spl2_191
| spl2_289
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f88896,f8056,f9737,f5519]) ).
thf(f90023,plain,
( ~ spl2_194
| ~ spl2_246
| ~ spl2_173
| ~ spl2_375 ),
inference(avatar_split_clause,[],[f89871,f20418,f5327,f6697,f5704]) ).
thf(f90028,plain,
( spl2_278
| ~ spl2_26
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f89071,f5714,f285,f9002]) ).
thf(f90030,plain,
( spl2_755
| ~ spl2_278
| ~ spl2_234
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f89522,f14343,f6393,f9002,f81447]) ).
thf(f90033,plain,
( ~ spl2_92
| ~ spl2_84
| ~ spl2_234
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f89524,f9497,f6393,f2310,f2448]) ).
thf(f90034,plain,
( ~ spl2_98
| spl2_301
| ~ spl2_77
| ~ spl2_643 ),
inference(avatar_split_clause,[],[f89847,f63878,f2281,f10415,f2724]) ).
thf(f90068,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_17
| ~ spl2_98 ),
inference(constrained_superposition,[],[f88307,f2725]) ).
thf(f90074,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f28,f2725]) ).
thf(f90080,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f90074]) ).
thf(f90088,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f90068]) ).
thf(f90093,plain,
( spl2_78
| spl2_92
| ~ spl2_17
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f90088,f2724,f219,f2448,f2284]) ).
thf(f90179,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_203 ),
inference(constrained_superposition,[],[f88307,f5800]) ).
thf(f90190,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f90179]) ).
thf(f90201,plain,
( spl2_217
| spl2_194
| ~ spl2_17
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f90190,f5734,f219,f5704,f5858]) ).
thf(f90219,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f430,f50]) ).
thf(f90225,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f90219]) ).
thf(f90273,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_344 ),
inference(constrained_superposition,[],[f14344,f7073]) ).
thf(f90276,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_255
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f90273]) ).
thf(f90281,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_255
| ~ spl2_269
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f90276,f9492]) ).
thf(f90283,plain,
( spl2_753
| ~ spl2_255
| ~ spl2_269
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f90281,f14343,f8056,f7072,f80701]) ).
thf(f90339,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_588 ),
inference(constrained_superposition,[],[f90225,f61121]) ).
thf(f90341,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_442 ),
inference(constrained_superposition,[],[f90225,f33508]) ).
thf(f90369,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f90339]) ).
thf(f90374,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_38
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f90341]) ).
thf(f90445,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_590
| ~ spl2_643 ),
inference(constrained_superposition,[],[f63879,f61129]) ).
thf(f90462,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_590
| ~ spl2_643 ),
inference(trivial_inequality_removal,[],[f90445]) ).
thf(f90597,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_455 ),
inference(constrained_superposition,[],[f35954,f3615]) ).
thf(f90607,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f90597]) ).
thf(f90627,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_140
| ~ spl2_173
| ~ spl2_455 ),
inference(constrained_superposition,[],[f90607,f5328]) ).
thf(f90628,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_140
| ~ spl2_234
| ~ spl2_455 ),
inference(constrained_superposition,[],[f90607,f6394]) ).
thf(f90629,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_140
| ~ spl2_244
| ~ spl2_455 ),
inference(constrained_superposition,[],[f90607,f6685]) ).
thf(f90633,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_140
| ~ spl2_173
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f90627]) ).
thf(f90635,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_140
| ~ spl2_244
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f90629]) ).
thf(f90636,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_140
| ~ spl2_234
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f90628]) ).
thf(f90638,plain,
( $false
| ~ spl2_140
| ~ spl2_173
| ~ spl2_194
| ~ spl2_455 ),
inference(forward_subsumption_resolution,[],[f90633,f5705]) ).
thf(f90639,plain,
( ~ spl2_140
| ~ spl2_173
| ~ spl2_194
| ~ spl2_455 ),
inference(avatar_contradiction_clause,[],[f90638]) ).
thf(f90640,plain,
( $false
| ~ spl2_29
| ~ spl2_140
| ~ spl2_244
| ~ spl2_455 ),
inference(forward_subsumption_resolution,[],[f90635,f351]) ).
thf(f90641,plain,
( ~ spl2_29
| ~ spl2_140
| ~ spl2_244
| ~ spl2_455 ),
inference(avatar_contradiction_clause,[],[f90640]) ).
thf(f90642,plain,
( $false
| ~ spl2_92
| ~ spl2_140
| ~ spl2_234
| ~ spl2_455 ),
inference(forward_subsumption_resolution,[],[f90636,f2449]) ).
thf(f90643,plain,
( ~ spl2_92
| ~ spl2_140
| ~ spl2_234
| ~ spl2_455 ),
inference(avatar_contradiction_clause,[],[f90642]) ).
thf(f90690,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f1448,f5325]) ).
thf(f90692,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f58443,f5325]) ).
thf(f90710,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f90692]) ).
thf(f90714,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f90690]) ).
thf(f90728,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_172
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f90710,f5800]) ).
thf(f90731,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_172
| spl2_250 ),
inference(forward_subsumption_resolution,[],[f90714,f6720]) ).
thf(f90738,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_172
| ~ spl2_203
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f90728,f73780]) ).
thf(f90740,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_172
| spl2_250
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f90731,f73780]) ).
thf(f90746,plain,
( spl2_703
| ~ spl2_172
| ~ spl2_203
| spl2_278 ),
inference(avatar_split_clause,[],[f90738,f9002,f5734,f5324,f72890]) ).
thf(f90748,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_172
| ~ spl2_203
| spl2_250
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f90740,f5800]) ).
thf(f90751,plain,
( ~ spl2_220
| ~ spl2_172
| ~ spl2_203
| spl2_250
| spl2_278 ),
inference(avatar_split_clause,[],[f90748,f9002,f6719,f5734,f5324,f5869]) ).
thf(f90753,plain,
( spl2_203
| ~ spl2_181
| ~ spl2_38
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f90374,f33507,f429,f5428,f5734]) ).
thf(f90767,plain,
( spl2_191
| ~ spl2_211
| ~ spl2_38
| ~ spl2_588 ),
inference(avatar_split_clause,[],[f90369,f61120,f429,f5763,f5519]) ).
thf(f90826,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_278
| ~ spl2_412 ),
inference(constrained_superposition,[],[f27121,f9003]) ).
thf(f90835,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f90826]) ).
thf(f90837,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_132
| ~ spl2_278
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f90835,f3407]) ).
thf(f90838,plain,
( $false
| ~ spl2_132
| ~ spl2_149
| ~ spl2_278
| ~ spl2_412 ),
inference(forward_subsumption_resolution,[],[f90837,f4019]) ).
thf(f90839,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_278
| ~ spl2_412 ),
inference(avatar_contradiction_clause,[],[f90838]) ).
thf(f90884,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_17
| ~ spl2_191 ),
inference(constrained_superposition,[],[f88307,f5520]) ).
thf(f90907,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_17
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f90884]) ).
thf(f91215,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X1 ) )
| ~ spl2_44 ),
inference(constrained_superposition,[],[f632,f57095]) ).
thf(f91220,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f91215]) ).
thf(f91221,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X1 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_44 ),
inference(forward_subsumption_resolution,[],[f91220,f430]) ).
thf(f91222,plain,
( spl2_454
| spl2_161
| ~ spl2_38
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f91221,f631,f429,f4158,f35796]) ).
thf(f91231,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_177
| ~ spl2_590 ),
inference(constrained_superposition,[],[f5378,f61129]) ).
thf(f91235,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_177
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f91231]) ).
thf(f91241,plain,
( ~ spl2_209
| ~ spl2_177
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f91235,f61128,f5377,f5755]) ).
thf(f91244,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_178
| ~ spl2_234
| ~ spl2_761 ),
inference(forward_subsumption_resolution,[],[f89526,f5382]) ).
thf(f91245,plain,
( spl2_179
| spl2_188
| ~ spl2_17
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f90907,f5519,f219,f5498,f5384]) ).
thf(f91248,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_191
| ~ spl2_590
| ~ spl2_643 ),
inference(forward_subsumption_resolution,[],[f90462,f5520]) ).
thf(f91251,plain,
( ~ spl2_84
| ~ spl2_178
| ~ spl2_234
| ~ spl2_761 ),
inference(avatar_split_clause,[],[f91244,f85200,f6393,f5381,f2310]) ).
thf(f91252,plain,
( ~ spl2_176
| ~ spl2_191
| ~ spl2_590
| ~ spl2_643 ),
inference(avatar_split_clause,[],[f91248,f63878,f61128,f5519,f5374]) ).
thf(f91272,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_132
| ~ spl2_288 ),
inference(constrained_superposition,[],[f9734,f3407]) ).
thf(f91279,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_132
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f91272]) ).
thf(f91280,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_132
| ~ spl2_149
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f91279,f4019]) ).
thf(f91281,plain,
( spl2_126
| ~ spl2_132
| ~ spl2_149
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f91280,f9733,f4018,f3406,f3370]) ).
thf(f91286,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84
| ~ spl2_344 ),
inference(constrained_superposition,[],[f14344,f2311]) ).
thf(f91294,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84
| ~ spl2_344 ),
inference(duplicate_literal_removal,[],[f91286]) ).
thf(f91295,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f91294]) ).
thf(f91297,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84
| ~ spl2_149
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f91295,f4019]) ).
thf(f91298,plain,
( spl2_345
| ~ spl2_84
| ~ spl2_149
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f91297,f14343,f4018,f2310,f16019]) ).
thf(f91482,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_264
| ~ spl2_355 ),
inference(constrained_superposition,[],[f7905,f18373]) ).
thf(f91488,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_264
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f91482]) ).
thf(f91493,plain,
( $false
| ~ spl2_244
| ~ spl2_264
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f91488,f6685]) ).
thf(f91494,plain,
( ~ spl2_244
| ~ spl2_264
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f91493]) ).
thf(f91537,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_234
| ~ spl2_238 ),
inference(constrained_superposition,[],[f6488,f6394]) ).
thf(f91543,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_234
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f91537]) ).
thf(f91548,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_234
| ~ spl2_238
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f91543,f9003]) ).
thf(f91549,plain,
( $false
| ~ spl2_234
| ~ spl2_238
| ~ spl2_244
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f91548,f6685]) ).
thf(f91550,plain,
( ~ spl2_234
| ~ spl2_238
| ~ spl2_244
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f91549]) ).
thf(f91551,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_37
| ~ spl2_84 ),
inference(constrained_superposition,[],[f426,f2311]) ).
thf(f91552,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_37
| ~ spl2_180 ),
inference(constrained_superposition,[],[f426,f5477]) ).
thf(f91556,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_37
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f91551]) ).
thf(f91558,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_37
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f91552]) ).
thf(f91563,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_37
| ~ spl2_84
| ~ spl2_132 ),
inference(forward_subsumption_resolution,[],[f91556,f3407]) ).
thf(f91565,plain,
( spl2_237
| ~ spl2_37
| ~ spl2_84
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f91563,f3406,f2310,f425,f6483]) ).
thf(f91570,plain,
( spl2_520
| ~ spl2_269
| ~ spl2_37
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f91558,f5425,f425,f8056,f45311]) ).
thf(f91571,plain,
( ~ spl2_25
| spl2_244
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f89072,f5714,f6684,f281]) ).
thf(f91700,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_288
| ~ spl2_301 ),
inference(constrained_superposition,[],[f9734,f10416]) ).
thf(f91702,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_301
| ~ spl2_521 ),
inference(constrained_superposition,[],[f45557,f10416]) ).
thf(f91707,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_301
| ~ spl2_521 ),
inference(trivial_inequality_removal,[],[f91702]) ).
thf(f91712,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_288
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f91700]) ).
thf(f91716,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_132
| ~ spl2_301
| ~ spl2_521 ),
inference(forward_subsumption_resolution,[],[f91707,f3407]) ).
thf(f91717,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_288
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f91712,f5732]) ).
thf(f91718,plain,
( spl2_312
| ~ spl2_132
| ~ spl2_301
| ~ spl2_521 ),
inference(avatar_split_clause,[],[f91716,f45556,f10415,f3406,f11317]) ).
thf(f91719,plain,
( spl2_412
| ~ spl2_202
| ~ spl2_288
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f91717,f10415,f9733,f5731,f27120]) ).
thf(f91769,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_371
| ~ spl2_780 ),
inference(constrained_superposition,[],[f87930,f20310]) ).
thf(f91778,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_371
| ~ spl2_780 ),
inference(trivial_inequality_removal,[],[f91769]) ).
thf(f91913,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_355
| ~ spl2_755 ),
inference(constrained_superposition,[],[f81448,f18373]) ).
thf(f91919,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_355
| ~ spl2_755 ),
inference(trivial_inequality_removal,[],[f91913]) ).
thf(f91923,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_180
| ~ spl2_355
| ~ spl2_755 ),
inference(forward_subsumption_resolution,[],[f91919,f5477]) ).
thf(f91924,plain,
( $false
| ~ spl2_180
| ~ spl2_255
| ~ spl2_355
| ~ spl2_755 ),
inference(forward_subsumption_resolution,[],[f91923,f7073]) ).
thf(f91925,plain,
( ~ spl2_180
| ~ spl2_255
| ~ spl2_355
| ~ spl2_755 ),
inference(avatar_contradiction_clause,[],[f91924]) ).
thf(f91931,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_625 ),
inference(constrained_superposition,[],[f63676,f187]) ).
thf(f91937,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_625 ),
inference(trivial_inequality_removal,[],[f91931]) ).
thf(f91944,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_371
| ~ spl2_753 ),
inference(constrained_superposition,[],[f80702,f20310]) ).
thf(f91949,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_371
| ~ spl2_753 ),
inference(trivial_inequality_removal,[],[f91944]) ).
thf(f91954,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_371
| ~ spl2_753 ),
inference(forward_subsumption_resolution,[],[f91949,f5732]) ).
thf(f91955,plain,
( $false
| ~ spl2_202
| ~ spl2_234
| ~ spl2_371
| ~ spl2_753 ),
inference(forward_subsumption_resolution,[],[f91954,f6394]) ).
thf(f91956,plain,
( ~ spl2_202
| ~ spl2_234
| ~ spl2_371
| ~ spl2_753 ),
inference(avatar_contradiction_clause,[],[f91955]) ).
thf(f91962,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f90080,f187]) ).
thf(f91965,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_98
| ~ spl2_168 ),
inference(constrained_superposition,[],[f90080,f5311]) ).
thf(f91970,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_98
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f91965]) ).
thf(f91972,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f91962]) ).
thf(f91975,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_98
| ~ spl2_168
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f91970,f5520]) ).
thf(f91976,plain,
( spl2_177
| ~ spl2_98
| ~ spl2_168
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f91975,f5519,f5310,f2724,f5377]) ).
thf(f91989,plain,
( ~ spl2_180
| ~ spl2_181
| ~ spl2_371
| ~ spl2_780 ),
inference(avatar_split_clause,[],[f91778,f87929,f20309,f5428,f5425]) ).
thf(f92321,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_234
| ~ spl2_781 ),
inference(constrained_superposition,[],[f89375,f6394]) ).
thf(f92325,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_234
| ~ spl2_781 ),
inference(trivial_inequality_removal,[],[f92321]) ).
thf(f92331,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_204
| ~ spl2_234
| ~ spl2_781 ),
inference(forward_subsumption_resolution,[],[f92325,f5739]) ).
thf(f92332,plain,
( $false
| ~ spl2_202
| ~ spl2_204
| ~ spl2_234
| ~ spl2_781 ),
inference(forward_subsumption_resolution,[],[f92331,f5732]) ).
thf(f92333,plain,
( ~ spl2_202
| ~ spl2_204
| ~ spl2_234
| ~ spl2_781 ),
inference(avatar_contradiction_clause,[],[f92332]) ).
thf(f92341,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_678 ),
inference(constrained_superposition,[],[f66202,f1673]) ).
thf(f92343,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_678 ),
inference(trivial_inequality_removal,[],[f92341]) ).
thf(f92411,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_455 ),
inference(constrained_superposition,[],[f35954,f5328]) ).
thf(f92417,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f92411]) ).
thf(f92436,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_208
| ~ spl2_455 ),
inference(constrained_superposition,[],[f92417,f5753]) ).
thf(f92443,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_208
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f92436]) ).
thf(f92446,plain,
( $false
| ~ spl2_173
| ~ spl2_208
| ~ spl2_234
| ~ spl2_455 ),
inference(forward_subsumption_resolution,[],[f92443,f6394]) ).
thf(f92447,plain,
( ~ spl2_173
| ~ spl2_208
| ~ spl2_234
| ~ spl2_455 ),
inference(avatar_contradiction_clause,[],[f92446]) ).
thf(f92451,plain,
( ~ spl2_17
| spl2_258
| ~ spl2_77
| ~ spl2_625 ),
inference(avatar_split_clause,[],[f91937,f63675,f2281,f7257,f219]) ).
thf(f92454,plain,
( spl2_178
| ~ spl2_17
| spl2_78
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f91972,f2724,f2284,f219,f5381]) ).
thf(f92462,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f27,f2734]) ).
thf(f92463,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f92462]) ).
thf(f92467,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_32 ),
inference(constrained_superposition,[],[f384,f50]) ).
thf(f92469,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f92467]) ).
thf(f92471,plain,
( spl2_55
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f92469,f383,f847]) ).
thf(f92480,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f28,f848]) ).
thf(f92493,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f92480]) ).
thf(f92561,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) )
| ~ spl2_246 ),
inference(constrained_superposition,[],[f27,f6698]) ).
thf(f92564,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f92561]) ).
thf(f92899,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_94 ),
inference(constrained_superposition,[],[f27,f2532]) ).
thf(f92901,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f92899]) ).
thf(f93143,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f83,f5325]) ).
thf(f93176,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f93143]) ).
thf(f93187,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_55
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f93176,f848]) ).
thf(f93194,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_55
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f93187,f848]) ).
thf(f93197,plain,
( spl2_703
| ~ spl2_55
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f93194,f5324,f847,f72890]) ).
thf(f93331,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_177 ),
inference(constrained_superposition,[],[f5378,f187]) ).
thf(f93336,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_177 ),
inference(trivial_inequality_removal,[],[f93331]) ).
thf(f93435,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_601 ),
inference(constrained_superposition,[],[f61834,f51]) ).
thf(f93441,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_601 ),
inference(constrained_superposition,[],[f61834,f1673]) ).
thf(f93444,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_601 ),
inference(trivial_inequality_removal,[],[f93435]) ).
thf(f93447,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_601 ),
inference(trivial_inequality_removal,[],[f93441]) ).
thf(f93450,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_249
| ~ spl2_601 ),
inference(forward_subsumption_resolution,[],[f93444,f7326]) ).
thf(f93451,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_208
| ~ spl2_601 ),
inference(forward_subsumption_resolution,[],[f93447,f13433]) ).
thf(f93452,plain,
( ~ spl2_183
| spl2_249
| ~ spl2_601 ),
inference(avatar_split_clause,[],[f93450,f61833,f6714,f5480]) ).
thf(f93453,plain,
( ~ spl2_476
| spl2_208
| ~ spl2_601 ),
inference(avatar_split_clause,[],[f93451,f61833,f5752,f36650]) ).
thf(f93555,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f92493,f1674]) ).
thf(f93566,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f93555]) ).
thf(f93569,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f93566,f848]) ).
thf(f93895,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_470 ),
inference(constrained_superposition,[],[f36609,f76]) ).
thf(f93909,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) )
| ~ spl2_470 ),
inference(trivial_inequality_removal,[],[f93895]) ).
thf(f93911,plain,
( spl2_120
| ~ spl2_119
| ~ spl2_470 ),
inference(avatar_split_clause,[],[f93909,f36608,f3313,f3316]) ).
thf(f93913,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f93569,f51]) ).
thf(f93920,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| ~ spl2_172 ),
inference(constrained_superposition,[],[f93569,f5325]) ).
thf(f93925,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f93920]) ).
thf(f93926,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f93913]) ).
thf(f93934,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| ~ spl2_172
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f93925,f24914]) ).
thf(f93935,plain,
( ~ spl2_305
| ~ spl2_55
| ~ spl2_172
| spl2_301 ),
inference(avatar_split_clause,[],[f93934,f10415,f5324,f847,f10699]) ).
thf(f94064,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_132
| ~ spl2_302 ),
inference(constrained_superposition,[],[f10436,f3407]) ).
thf(f94074,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_132
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f94064]) ).
thf(f94076,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132
| ~ spl2_302
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f94074,f10830]) ).
thf(f94078,plain,
( spl2_349
| ~ spl2_132
| ~ spl2_302
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f94076,f10829,f10435,f3406,f17089]) ).
thf(f94195,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_362 ),
inference(constrained_superposition,[],[f18780,f7073]) ).
thf(f94206,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_255
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f94195]) ).
thf(f94215,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_255
| ~ spl2_362 ),
inference(forward_subsumption_resolution,[],[f94206,f2532]) ).
thf(f94217,plain,
( spl2_754
| ~ spl2_94
| ~ spl2_255
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f94215,f18779,f7072,f2531,f80768]) ).
thf(f94223,definition,
( spl2_785
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_785])],[avatar_definition]) ).
thf(f94224,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_785 ),
inference(avatar_component_clause,[],[f94223]) ).
thf(f94234,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_269
| ~ spl2_701 ),
inference(constrained_superposition,[],[f72865,f9492]) ).
thf(f94235,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_269
| ~ spl2_742 ),
inference(constrained_superposition,[],[f75382,f9492]) ).
thf(f94242,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_269
| ~ spl2_701 ),
inference(trivial_inequality_removal,[],[f94234]) ).
thf(f94247,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_269
| ~ spl2_742 ),
inference(trivial_inequality_removal,[],[f94235]) ).
thf(f94255,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_269
| ~ spl2_308
| ~ spl2_701 ),
inference(forward_subsumption_resolution,[],[f94242,f10830]) ).
thf(f94256,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_269
| ~ spl2_308
| ~ spl2_742 ),
inference(forward_subsumption_resolution,[],[f94247,f10830]) ).
thf(f94259,plain,
( $false
| ~ spl2_31
| ~ spl2_269
| ~ spl2_308
| ~ spl2_701 ),
inference(forward_subsumption_resolution,[],[f94255,f2734]) ).
thf(f94260,plain,
( ~ spl2_31
| ~ spl2_269
| ~ spl2_308
| ~ spl2_701 ),
inference(avatar_contradiction_clause,[],[f94259]) ).
thf(f94261,plain,
( $false
| ~ spl2_269
| ~ spl2_278
| ~ spl2_308
| ~ spl2_742 ),
inference(forward_subsumption_resolution,[],[f94256,f9003]) ).
thf(f94262,plain,
( ~ spl2_269
| ~ spl2_278
| ~ spl2_308
| ~ spl2_742 ),
inference(avatar_contradiction_clause,[],[f94261]) ).
thf(f94275,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_55
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f73799,f848]) ).
thf(f94281,definition,
( spl2_787
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_787])],[avatar_definition]) ).
thf(f94282,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
= $true ) )
| ~ spl2_787 ),
inference(avatar_component_clause,[],[f94281]) ).
thf(f94283,plain,
( spl2_787
| ~ spl2_128
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f93926,f847,f3386,f94281]) ).
thf(f94290,plain,
( spl2_258
| ~ spl2_117
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f93336,f5377,f3306,f7257]) ).
thf(f94432,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_301
| ~ spl2_302 ),
inference(constrained_superposition,[],[f10436,f10416]) ).
thf(f94439,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_301
| ~ spl2_405 ),
inference(constrained_superposition,[],[f26280,f10416]) ).
thf(f94451,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_301
| ~ spl2_405 ),
inference(trivial_inequality_removal,[],[f94439]) ).
thf(f94454,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_301
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f94432]) ).
thf(f94458,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_301
| ~ spl2_405 ),
inference(forward_subsumption_resolution,[],[f94451,f2532]) ).
thf(f94460,plain,
( spl2_312
| ~ spl2_94
| ~ spl2_301
| ~ spl2_405 ),
inference(avatar_split_clause,[],[f94458,f26279,f10415,f2531,f11317]) ).
thf(f94560,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f83,f61125]) ).
thf(f94591,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f94560]) ).
thf(f94611,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_55
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f94591,f848]) ).
thf(f94620,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_55
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f94611,f848]) ).
thf(f94625,plain,
( spl2_703
| ~ spl2_55
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f94620,f61124,f847,f72890]) ).
thf(f94648,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_171
| ~ spl2_470 ),
inference(constrained_superposition,[],[f36609,f5321]) ).
thf(f94650,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_55
| ~ spl2_171 ),
inference(constrained_superposition,[],[f93569,f5321]) ).
thf(f94664,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171
| ~ spl2_671 ),
inference(constrained_superposition,[],[f64997,f5321]) ).
thf(f94682,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171
| ~ spl2_671 ),
inference(trivial_inequality_removal,[],[f94664]) ).
thf(f94684,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f94650]) ).
thf(f94691,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_171
| ~ spl2_470 ),
inference(trivial_inequality_removal,[],[f94648]) ).
thf(f94796,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_244
| ~ spl2_471 ),
inference(constrained_superposition,[],[f36613,f6685]) ).
thf(f94804,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_244
| ~ spl2_471 ),
inference(trivial_inequality_removal,[],[f94796]) ).
thf(f94806,plain,
( $false
| ~ spl2_94
| ~ spl2_244
| ~ spl2_471 ),
inference(forward_subsumption_resolution,[],[f94804,f2532]) ).
thf(f94807,plain,
( ~ spl2_94
| ~ spl2_244
| ~ spl2_471 ),
inference(avatar_contradiction_clause,[],[f94806]) ).
thf(f94808,plain,
( spl2_312
| ~ spl2_204
| ~ spl2_301
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f94454,f10435,f10415,f5738,f11317]) ).
thf(f95065,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_448 ),
inference(avatar_component_clause,[],[f34111]) ).
thf(f95102,plain,
( $false
| ~ spl2_32
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f11450,f384]) ).
thf(f95103,plain,
( ~ spl2_32
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f95102]) ).
thf(f95110,plain,
( spl2_307
| ~ spl2_209
| ~ spl2_55
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f94684,f5320,f847,f5755,f10720]) ).
thf(f95116,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| ~ spl2_171
| ~ spl2_671 ),
inference(forward_subsumption_resolution,[],[f94682,f848]) ).
thf(f95118,plain,
( ~ spl2_209
| spl2_208
| ~ spl2_171
| ~ spl2_470 ),
inference(avatar_split_clause,[],[f94691,f36608,f5320,f5752,f5755]) ).
thf(f95124,plain,
( ~ spl2_305
| spl2_301
| ~ spl2_55
| ~ spl2_171
| ~ spl2_671 ),
inference(avatar_split_clause,[],[f95116,f64996,f5320,f847,f10415,f10699]) ).
thf(f95187,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_169
| ~ spl2_349 ),
inference(constrained_superposition,[],[f17090,f5314]) ).
thf(f95196,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_779 ),
inference(constrained_superposition,[],[f87576,f5314]) ).
thf(f95199,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_169
| ~ spl2_779 ),
inference(trivial_inequality_removal,[],[f95196]) ).
thf(f95206,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_169
| ~ spl2_349 ),
inference(trivial_inequality_removal,[],[f95187]) ).
thf(f95255,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_307
| ~ spl2_363 ),
inference(constrained_superposition,[],[f19270,f10721]) ).
thf(f95257,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_307
| ~ spl2_349 ),
inference(constrained_superposition,[],[f17090,f10721]) ).
thf(f95267,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_307
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f95255]) ).
thf(f95274,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_307
| ~ spl2_349 ),
inference(trivial_inequality_removal,[],[f95257]) ).
thf(f95280,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_355
| ~ spl2_758 ),
inference(constrained_superposition,[],[f83375,f18373]) ).
thf(f95290,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_355
| ~ spl2_758 ),
inference(trivial_inequality_removal,[],[f95280]) ).
thf(f95374,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_37
| ~ spl2_202 ),
inference(constrained_superposition,[],[f426,f5732]) ).
thf(f95388,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_37
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f95374]) ).
thf(f95401,definition,
( spl2_790
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_790])],[avatar_definition]) ).
thf(f95402,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_790 ),
inference(avatar_component_clause,[],[f95401]) ).
thf(f95403,plain,
( ~ spl2_278
| spl2_790
| ~ spl2_355
| ~ spl2_758 ),
inference(avatar_split_clause,[],[f95290,f83374,f18372,f95401,f9002]) ).
thf(f95404,plain,
( ~ spl2_278
| spl2_215
| ~ spl2_37
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f95388,f5731,f425,f5808,f9002]) ).
thf(f95448,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_339
| ~ spl2_371 ),
inference(constrained_superposition,[],[f13998,f20310]) ).
thf(f95463,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_339
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f95448]) ).
thf(f95512,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_55
| ~ spl2_586 ),
inference(constrained_superposition,[],[f92493,f61114]) ).
thf(f95546,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_55
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f95512]) ).
thf(f95564,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_55
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f95546,f848]) ).
thf(f95572,plain,
( spl2_601
| ~ spl2_55
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f95564,f61113,f847,f61833]) ).
thf(f95703,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_307
| ~ spl2_363
| ~ spl2_588 ),
inference(constrained_superposition,[],[f95267,f61121]) ).
thf(f95706,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_246
| ~ spl2_307
| ~ spl2_363 ),
inference(constrained_superposition,[],[f95267,f6698]) ).
thf(f95714,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_246
| ~ spl2_307
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f95706]) ).
thf(f95718,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_307
| ~ spl2_363
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f95703]) ).
thf(f95719,plain,
( $false
| ~ spl2_94
| ~ spl2_246
| ~ spl2_307
| ~ spl2_363 ),
inference(forward_subsumption_resolution,[],[f95714,f2532]) ).
thf(f95720,plain,
( ~ spl2_94
| ~ spl2_246
| ~ spl2_307
| ~ spl2_363 ),
inference(avatar_contradiction_clause,[],[f95719]) ).
thf(f95721,plain,
( $false
| ~ spl2_169
| ~ spl2_307
| ~ spl2_363
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f95718,f5314]) ).
thf(f95722,plain,
( ~ spl2_169
| ~ spl2_307
| ~ spl2_363
| ~ spl2_588 ),
inference(avatar_contradiction_clause,[],[f95721]) ).
thf(f95723,plain,
( ~ spl2_269
| spl2_785
| ~ spl2_339
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f95463,f20309,f13997,f94223,f8056]) ).
thf(f95730,plain,
( ~ spl2_194
| ~ spl2_249
| ~ spl2_307
| ~ spl2_349 ),
inference(avatar_split_clause,[],[f95274,f17089,f10720,f6714,f5704]) ).
thf(f95736,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_132
| ~ spl2_750 ),
inference(constrained_superposition,[],[f80269,f3407]) ).
thf(f95752,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_132
| ~ spl2_750 ),
inference(trivial_inequality_removal,[],[f95736]) ).
thf(f95753,plain,
( $false
| ~ spl2_132
| ~ spl2_149
| ~ spl2_750 ),
inference(forward_subsumption_resolution,[],[f95752,f4019]) ).
thf(f95754,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_750 ),
inference(avatar_contradiction_clause,[],[f95753]) ).
thf(f95763,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f27,f9003]) ).
thf(f95767,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f95763]) ).
thf(f95813,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_31
| ~ spl2_194 ),
inference(constrained_superposition,[],[f92463,f5705]) ).
thf(f95820,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_31
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f95813]) ).
thf(f95826,plain,
( spl2_516
| ~ spl2_31
| ~ spl2_194 ),
inference(avatar_split_clause,[],[f95820,f5704,f379,f44956]) ).
thf(f95873,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_364 ),
inference(constrained_superposition,[],[f19409,f5318]) ).
thf(f95888,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_364 ),
inference(trivial_inequality_removal,[],[f95873]) ).
thf(f95890,plain,
( $false
| ~ spl2_170
| ~ spl2_246
| ~ spl2_364 ),
inference(forward_subsumption_resolution,[],[f95888,f6698]) ).
thf(f95891,plain,
( ~ spl2_170
| ~ spl2_246
| ~ spl2_364 ),
inference(avatar_contradiction_clause,[],[f95890]) ).
thf(f96002,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_372
| ~ spl2_588 ),
inference(constrained_superposition,[],[f20388,f61121]) ).
thf(f96007,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_372
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f96002]) ).
thf(f96032,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_304 ),
inference(constrained_superposition,[],[f10697,f51]) ).
thf(f96041,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_304 ),
inference(trivial_inequality_removal,[],[f96032]) ).
thf(f96224,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_55
| ~ spl2_172
| ~ spl2_712 ),
inference(constrained_superposition,[],[f94275,f5325]) ).
thf(f96232,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_55
| ~ spl2_172
| ~ spl2_712 ),
inference(trivial_inequality_removal,[],[f96224]) ).
thf(f96237,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_55
| ~ spl2_172
| spl2_301
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f96232,f24914]) ).
thf(f96239,plain,
( $false
| ~ spl2_55
| ~ spl2_172
| spl2_301
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f96237,f848]) ).
thf(f96240,plain,
( ~ spl2_55
| ~ spl2_172
| spl2_301
| ~ spl2_712 ),
inference(avatar_contradiction_clause,[],[f96239]) ).
thf(f96395,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_94 ),
inference(constrained_superposition,[],[f92901,f50]) ).
thf(f96403,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f96395]) ).
thf(f96477,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_278
| ~ spl2_321 ),
inference(constrained_superposition,[],[f12451,f9003]) ).
thf(f96481,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_278
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f96477]) ).
thf(f96490,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_149
| ~ spl2_278
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f96481,f4019]) ).
thf(f96492,plain,
( spl2_329
| ~ spl2_149
| ~ spl2_278
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f96490,f12450,f9002,f4018,f13252]) ).
thf(f96532,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_246 ),
inference(constrained_superposition,[],[f92564,f50]) ).
thf(f96537,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f96532]) ).
thf(f96584,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_442
| ~ spl2_594 ),
inference(constrained_superposition,[],[f61230,f33508]) ).
thf(f96593,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_442
| ~ spl2_594 ),
inference(trivial_inequality_removal,[],[f96584]) ).
thf(f96601,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_198
| ~ spl2_442
| ~ spl2_594 ),
inference(forward_subsumption_resolution,[],[f96593,f5718]) ).
thf(f96606,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_198
| ~ spl2_442
| ~ spl2_594 ),
inference(constrained_superposition,[],[f96601,f33508]) ).
thf(f96613,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_442
| ~ spl2_594 ),
inference(trivial_inequality_removal,[],[f96606]) ).
thf(f96615,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_258
| ~ spl2_442
| ~ spl2_594 ),
inference(forward_subsumption_resolution,[],[f96613,f7258]) ).
thf(f96616,plain,
( $false
| ~ spl2_198
| ~ spl2_255
| ~ spl2_258
| ~ spl2_442
| ~ spl2_594 ),
inference(forward_subsumption_resolution,[],[f96615,f7073]) ).
thf(f96617,plain,
( ~ spl2_198
| ~ spl2_255
| ~ spl2_258
| ~ spl2_442
| ~ spl2_594 ),
inference(avatar_contradiction_clause,[],[f96616]) ).
thf(f96622,plain,
( ~ spl2_255
| ~ spl2_198
| ~ spl2_258
| ~ spl2_442
| ~ spl2_594 ),
inference(avatar_split_clause,[],[f96615,f61229,f33507,f7257,f5717,f7072]) ).
thf(f96633,plain,
( ~ spl2_128
| spl2_249
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f96041,f10696,f6714,f3386]) ).
thf(f96634,plain,
( ~ spl2_173
| ~ spl2_194
| ~ spl2_372
| ~ spl2_588 ),
inference(avatar_split_clause,[],[f96007,f61120,f20387,f5704,f5327]) ).
thf(f96636,definition,
( spl2_793
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_793])],[avatar_definition]) ).
thf(f96637,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_793 ),
inference(avatar_component_clause,[],[f96636]) ).
thf(f96677,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f58,f5382]) ).
thf(f96682,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f96677]) ).
thf(f96695,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_269
| ~ spl2_594 ),
inference(constrained_superposition,[],[f61230,f9492]) ).
thf(f96704,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_269
| ~ spl2_594 ),
inference(trivial_inequality_removal,[],[f96695]) ).
thf(f96709,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_31
| ~ spl2_269
| ~ spl2_594 ),
inference(forward_subsumption_resolution,[],[f96704,f2734]) ).
thf(f96710,plain,
( spl2_275
| ~ spl2_31
| ~ spl2_269
| ~ spl2_594 ),
inference(avatar_split_clause,[],[f96709,f61229,f8056,f379,f8377]) ).
thf(f96712,definition,
( spl2_794
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_794])],[avatar_definition]) ).
thf(f96713,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_794 ),
inference(avatar_component_clause,[],[f96712]) ).
thf(f96714,plain,
( spl2_794
| spl2_98
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f96403,f2531,f2724,f96712]) ).
thf(f96732,plain,
( spl2_794
| spl2_203
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f96537,f6697,f5734,f96712]) ).
thf(f96739,plain,
( spl2_98
| spl2_115
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f96682,f5381,f3074,f2724]) ).
thf(f96740,plain,
( ~ spl2_188
| ~ spl2_269
| ~ spl2_169
| ~ spl2_349 ),
inference(avatar_split_clause,[],[f95206,f17089,f5313,f8056,f5498]) ).
thf(f96840,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(constrained_superposition,[],[f632,f5739]) ).
thf(f96842,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_33
| ~ spl2_204 ),
inference(constrained_superposition,[],[f389,f5739]) ).
thf(f96849,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f96840]) ).
thf(f96851,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_33
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f96842]) ).
thf(f96859,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_33
| ~ spl2_204
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f96851,f9003]) ).
thf(f96860,plain,
( spl2_215
| ~ spl2_33
| ~ spl2_204
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f96859,f9002,f5738,f388,f5808]) ).
thf(f96963,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_301
| ~ spl2_754 ),
inference(constrained_superposition,[],[f80769,f10416]) ).
thf(f96971,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_301
| ~ spl2_754 ),
inference(trivial_inequality_removal,[],[f96963]) ).
thf(f97035,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_47
| ~ spl2_202 ),
inference(constrained_superposition,[],[f692,f5732]) ).
thf(f97039,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f97035]) ).
thf(f97044,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_202
| ~ spl2_301 ),
inference(constrained_superposition,[],[f97039,f10416]) ).
thf(f97046,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_47
| ~ spl2_202 ),
inference(constrained_superposition,[],[f97039,f5732]) ).
thf(f97048,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_47
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f97046]) ).
thf(f97050,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_47
| ~ spl2_202
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f97044]) ).
thf(f97198,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_448 ),
inference(constrained_superposition,[],[f96849,f95065]) ).
thf(f97204,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_204
| ~ spl2_448 ),
inference(trivial_inequality_removal,[],[f97198]) ).
thf(f97209,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_532 ),
inference(constrained_superposition,[],[f51838,f5314]) ).
thf(f97213,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_169
| ~ spl2_532 ),
inference(trivial_inequality_removal,[],[f97209]) ).
thf(f97278,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_329 ),
inference(constrained_superposition,[],[f13253,f5328]) ).
thf(f97289,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_173
| ~ spl2_329 ),
inference(trivial_inequality_removal,[],[f97278]) ).
thf(f97550,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f5761,f1673]) ).
thf(f97559,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f97550]) ).
thf(f97584,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_265
| ~ spl2_444 ),
inference(constrained_superposition,[],[f7955,f37677]) ).
thf(f97587,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_94
| ~ spl2_265 ),
inference(constrained_superposition,[],[f7955,f2532]) ).
thf(f97591,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_94
| ~ spl2_265 ),
inference(duplicate_literal_removal,[],[f97587]) ).
thf(f97592,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_94
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f97591]) ).
thf(f97593,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_265
| ~ spl2_444 ),
inference(trivial_inequality_removal,[],[f97584]) ).
thf(f97600,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_265
| ~ spl2_428
| ~ spl2_444 ),
inference(forward_subsumption_resolution,[],[f97593,f36541]) ).
thf(f97601,plain,
( spl2_767
| ~ spl2_265
| ~ spl2_428
| ~ spl2_444 ),
inference(avatar_split_clause,[],[f97600,f33824,f31765,f7954,f86719]) ).
thf(f97604,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_448
| ~ spl2_767 ),
inference(constrained_superposition,[],[f86720,f95065]) ).
thf(f97608,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_448
| ~ spl2_767 ),
inference(trivial_inequality_removal,[],[f97604]) ).
thf(f97708,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_115
| ~ spl2_307 ),
inference(constrained_superposition,[],[f3075,f10721]) ).
thf(f97724,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_115
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f97708]) ).
thf(f97726,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_115
| ~ spl2_198
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f97724,f5718]) ).
thf(f97727,plain,
( spl2_766
| ~ spl2_115
| ~ spl2_198
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f97726,f10720,f5717,f3074,f86389]) ).
thf(f97763,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_301 ),
inference(constrained_superposition,[],[f95767,f10416]) ).
thf(f97769,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f97763]) ).
thf(f97779,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_178
| ~ spl2_278
| ~ spl2_301 ),
inference(constrained_superposition,[],[f97769,f5382]) ).
thf(f97780,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_278
| ~ spl2_301 ),
inference(constrained_superposition,[],[f97769,f2532]) ).
thf(f97787,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_178
| ~ spl2_278
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f97779]) ).
thf(f97788,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_278
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f97780]) ).
thf(f97793,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_178
| ~ spl2_278
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f97787,f2734]) ).
thf(f97794,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_40
| ~ spl2_94
| ~ spl2_278
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f97788,f2064]) ).
thf(f97797,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_40
| ~ spl2_94
| ~ spl2_278
| ~ spl2_301
| ~ spl2_307 ),
inference(constrained_superposition,[],[f97794,f10721]) ).
thf(f97801,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_40
| ~ spl2_94
| ~ spl2_278
| ~ spl2_301 ),
inference(constrained_superposition,[],[f97794,f2532]) ).
thf(f97805,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_40
| ~ spl2_94
| ~ spl2_278
| ~ spl2_301
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f97797]) ).
thf(f97811,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_40
| ~ spl2_94
| ~ spl2_278
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f97801]) ).
thf(f97812,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_40
| ~ spl2_94
| ~ spl2_211
| ~ spl2_278
| ~ spl2_301
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f97805,f5764]) ).
thf(f97815,plain,
( $false
| ~ spl2_40
| ~ spl2_94
| ~ spl2_211
| ~ spl2_246
| ~ spl2_278
| ~ spl2_301
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f97812,f6698]) ).
thf(f97816,plain,
( ~ spl2_40
| ~ spl2_94
| ~ spl2_211
| ~ spl2_246
| ~ spl2_278
| ~ spl2_301
| ~ spl2_307 ),
inference(avatar_contradiction_clause,[],[f97815]) ).
thf(f97824,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_278
| ~ spl2_448
| ~ spl2_767 ),
inference(forward_subsumption_resolution,[],[f97608,f9003]) ).
thf(f97826,plain,
( ~ spl2_244
| ~ spl2_278
| ~ spl2_448
| ~ spl2_767 ),
inference(avatar_split_clause,[],[f97824,f86719,f34111,f9002,f6684]) ).
thf(f97881,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_402
| ~ spl2_442 ),
inference(constrained_superposition,[],[f26251,f33508]) ).
thf(f97901,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_402
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f97881]) ).
thf(f97908,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_198
| ~ spl2_402
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f97901,f5718]) ).
thf(f97963,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_198
| ~ spl2_211
| ~ spl2_402
| ~ spl2_442 ),
inference(constrained_superposition,[],[f97908,f5764]) ).
thf(f97964,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_198
| ~ spl2_402
| ~ spl2_442 ),
inference(constrained_superposition,[],[f97908,f50]) ).
thf(f97965,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_198
| ~ spl2_402
| ~ spl2_442 ),
inference(constrained_superposition,[],[f97908,f33508]) ).
thf(f97971,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_402
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f97965]) ).
thf(f97972,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_198
| ~ spl2_402
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f97964]) ).
thf(f97973,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_198
| ~ spl2_211
| ~ spl2_402
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f97963]) ).
thf(f97975,plain,
( $false
| ~ spl2_198
| ~ spl2_258
| ~ spl2_402
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f97971,f7258]) ).
thf(f97976,plain,
( ~ spl2_198
| ~ spl2_258
| ~ spl2_402
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f97975]) ).
thf(f97977,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_198
| spl2_203
| ~ spl2_402
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f97972,f5735]) ).
thf(f97978,plain,
( $false
| ~ spl2_31
| ~ spl2_198
| ~ spl2_211
| ~ spl2_402
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f97973,f2734]) ).
thf(f97979,plain,
( ~ spl2_31
| ~ spl2_198
| ~ spl2_211
| ~ spl2_402
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f97978]) ).
thf(f97980,plain,
( $false
| ~ spl2_31
| ~ spl2_198
| spl2_203
| ~ spl2_402
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f97977,f2734]) ).
thf(f97981,plain,
( ~ spl2_31
| ~ spl2_198
| spl2_203
| ~ spl2_402
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f97980]) ).
thf(f97984,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| ~ spl2_211
| ~ spl2_329 ),
inference(forward_subsumption_resolution,[],[f97289,f5764]) ).
thf(f97986,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_110
| ~ spl2_169
| ~ spl2_779 ),
inference(forward_subsumption_resolution,[],[f95199,f2965]) ).
thf(f97988,plain,
( ~ spl2_84
| ~ spl2_169
| ~ spl2_532 ),
inference(avatar_split_clause,[],[f97213,f51837,f5313,f2310]) ).
thf(f97989,plain,
( ~ spl2_84
| ~ spl2_47
| ~ spl2_202
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f97050,f10415,f5731,f691,f2310]) ).
thf(f97992,plain,
( ~ spl2_206
| ~ spl2_173
| ~ spl2_211
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f97984,f13252,f5763,f5327,f5745]) ).
thf(f97994,plain,
( ~ spl2_84
| ~ spl2_110
| ~ spl2_169
| ~ spl2_779 ),
inference(avatar_split_clause,[],[f97986,f87575,f5313,f2964,f2310]) ).
thf(f98004,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_90
| ~ spl2_244 ),
inference(constrained_superposition,[],[f2339,f6685]) ).
thf(f98012,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_90
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f98004]) ).
thf(f98013,plain,
( $false
| ~ spl2_90
| ~ spl2_244
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f98012,f9003]) ).
thf(f98014,plain,
( ~ spl2_90
| ~ spl2_244
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f98013]) ).
thf(f98015,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_140
| ~ spl2_204 ),
inference(constrained_superposition,[],[f96849,f3615]) ).
thf(f98023,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_140
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f98015]) ).
thf(f98063,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_238 ),
inference(constrained_superposition,[],[f6488,f5753]) ).
thf(f98069,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f98063]) ).
thf(f98078,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_442
| ~ spl2_594 ),
inference(constrained_superposition,[],[f61230,f33508]) ).
thf(f98088,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_442
| ~ spl2_594 ),
inference(trivial_inequality_removal,[],[f98078]) ).
thf(f98117,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_169
| ~ spl2_178
| ~ spl2_278
| ~ spl2_301 ),
inference(constrained_superposition,[],[f97793,f5314]) ).
thf(f98124,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_31
| ~ spl2_169
| ~ spl2_178
| ~ spl2_278
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f98117]) ).
thf(f98129,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_31
| ~ spl2_169
| ~ spl2_178
| ~ spl2_181
| ~ spl2_278
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f98124,f9399]) ).
thf(f98130,plain,
( $false
| ~ spl2_31
| ~ spl2_169
| ~ spl2_178
| ~ spl2_181
| ~ spl2_258
| ~ spl2_278
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f98129,f7258]) ).
thf(f98131,plain,
( ~ spl2_31
| ~ spl2_169
| ~ spl2_178
| ~ spl2_181
| ~ spl2_258
| ~ spl2_278
| ~ spl2_301 ),
inference(avatar_contradiction_clause,[],[f98130]) ).
thf(f98191,plain,
( ~ spl2_425
| ~ spl2_44
| ~ spl2_204
| ~ spl2_448 ),
inference(avatar_split_clause,[],[f97204,f34111,f5738,f631,f31716]) ).
thf(f98490,plain,
( ~ spl2_68
| ~ spl2_44
| ~ spl2_140
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f98023,f5738,f3614,f631,f1231]) ).
thf(f98492,plain,
( ~ spl2_150
| spl2_90
| ~ spl2_94
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f97592,f7954,f2531,f2338,f4024]) ).
thf(f98496,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_40
| ~ spl2_94
| ~ spl2_278
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f97811,f2064]) ).
thf(f98498,plain,
( ~ spl2_150
| ~ spl2_47
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f97048,f5731,f691,f4024]) ).
thf(f98499,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_94
| ~ spl2_301
| ~ spl2_754 ),
inference(forward_subsumption_resolution,[],[f96971,f2532]) ).
thf(f98503,plain,
( ~ spl2_150
| ~ spl2_40
| ~ spl2_94
| ~ spl2_278
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f98496,f10415,f9002,f2531,f512,f4024]) ).
thf(f98504,plain,
( ~ spl2_232
| ~ spl2_94
| ~ spl2_301
| ~ spl2_754 ),
inference(avatar_split_clause,[],[f98499,f80768,f10415,f2531,f6288]) ).
thf(f98509,definition,
( spl2_795
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_795])],[avatar_definition]) ).
thf(f98510,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_795 ),
inference(avatar_component_clause,[],[f98509]) ).
thf(f98511,plain,
( spl2_795
| ~ spl2_198
| ~ spl2_442
| ~ spl2_594 ),
inference(avatar_split_clause,[],[f98088,f61229,f33507,f5717,f98509]) ).
thf(f98559,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_84
| ~ spl2_167 ),
inference(constrained_superposition,[],[f11201,f5296]) ).
thf(f98586,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_84
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f98559]) ).
thf(f98597,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_84
| ~ spl2_167 ),
inference(forward_subsumption_resolution,[],[f98586,f41]) ).
thf(f98600,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_83
| spl2_84
| ~ spl2_167 ),
inference(forward_subsumption_resolution,[],[f98597,f5264]) ).
thf(f98602,plain,
( $false
| spl2_83
| spl2_84
| spl2_132
| ~ spl2_167 ),
inference(forward_subsumption_resolution,[],[f98600,f8373]) ).
thf(f98603,plain,
( spl2_83
| spl2_84
| spl2_132
| ~ spl2_167 ),
inference(avatar_contradiction_clause,[],[f98602]) ).
thf(f98711,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_371
| ~ spl2_594 ),
inference(constrained_superposition,[],[f61230,f20310]) ).
thf(f98726,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_371
| ~ spl2_594 ),
inference(trivial_inequality_removal,[],[f98711]) ).
thf(f98928,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_196 ),
inference(constrained_superposition,[],[f5711,f187]) ).
thf(f98936,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f98928]) ).
thf(f98975,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_601 ),
inference(constrained_superposition,[],[f61834,f187]) ).
thf(f98985,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_601 ),
inference(trivial_inequality_removal,[],[f98975]) ).
thf(f98990,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_390 ),
inference(constrained_superposition,[],[f23165,f50]) ).
thf(f98994,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f98990]) ).
thf(f99077,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_795 ),
inference(constrained_superposition,[],[f98510,f50]) ).
thf(f99082,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_795 ),
inference(trivial_inequality_removal,[],[f99077]) ).
thf(f99087,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_110
| ~ spl2_795 ),
inference(forward_subsumption_resolution,[],[f99082,f2965]) ).
thf(f99090,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_31
| ~ spl2_110
| ~ spl2_795 ),
inference(forward_subsumption_resolution,[],[f99087,f2734]) ).
thf(f99091,plain,
( $false
| ~ spl2_31
| ~ spl2_110
| spl2_203
| ~ spl2_795 ),
inference(forward_subsumption_resolution,[],[f99090,f5735]) ).
thf(f99092,plain,
( ~ spl2_31
| ~ spl2_110
| spl2_203
| ~ spl2_795 ),
inference(avatar_contradiction_clause,[],[f99091]) ).
thf(f99093,plain,
( spl2_198
| ~ spl2_333
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f98936,f5710,f13826,f5717]) ).
thf(f99094,plain,
( ~ spl2_477
| spl2_198
| ~ spl2_601 ),
inference(avatar_split_clause,[],[f98985,f61833,f5717,f36656]) ).
thf(f99096,definition,
( spl2_797
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_797])],[avatar_definition]) ).
thf(f99097,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_797 ),
inference(avatar_component_clause,[],[f99096]) ).
thf(f99098,plain,
( spl2_797
| ~ spl2_140
| ~ spl2_371
| ~ spl2_594 ),
inference(avatar_split_clause,[],[f98726,f61229,f20309,f3614,f99096]) ).
thf(f99172,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_258
| ~ spl2_785 ),
inference(constrained_superposition,[],[f94224,f7258]) ).
thf(f99179,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_258
| ~ spl2_785 ),
inference(trivial_inequality_removal,[],[f99172]) ).
thf(f99212,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_31
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f98994,f2734]) ).
thf(f99220,plain,
( ~ spl2_246
| ~ spl2_249
| ~ spl2_208
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f98069,f6487,f5752,f6714,f6697]) ).
thf(f99221,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_31
| ~ spl2_40
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f99212,f2064]) ).
thf(f99223,plain,
( spl2_191
| ~ spl2_31
| ~ spl2_40
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f99221,f23164,f512,f379,f5519]) ).
thf(f99236,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f96,f29]) ).
thf(f99240,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f99236]) ).
thf(f99254,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f99240,f29]) ).
thf(f99256,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f99254]) ).
thf(f99277,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f27,f5732]) ).
thf(f99285,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f99277]) ).
thf(f99329,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f27,f6715]) ).
thf(f99331,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f99329]) ).
thf(f99687,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_208
| ~ spl2_252 ),
inference(constrained_superposition,[],[f6919,f5753]) ).
thf(f99692,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_208
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f99687]) ).
thf(f99721,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_36
| ~ spl2_140 ),
inference(constrained_superposition,[],[f420,f3615]) ).
thf(f99728,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_36
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f99721]) ).
thf(f99786,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_250
| ~ spl2_754 ),
inference(constrained_superposition,[],[f80769,f11450]) ).
thf(f99795,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_250
| ~ spl2_754 ),
inference(trivial_inequality_removal,[],[f99786]) ).
thf(f99801,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_40
| ~ spl2_250
| ~ spl2_754 ),
inference(forward_subsumption_resolution,[],[f99795,f2064]) ).
thf(f99804,plain,
( $false
| ~ spl2_40
| ~ spl2_110
| ~ spl2_250
| ~ spl2_754 ),
inference(forward_subsumption_resolution,[],[f99801,f2965]) ).
thf(f99805,plain,
( ~ spl2_40
| ~ spl2_110
| ~ spl2_250
| ~ spl2_754 ),
inference(avatar_contradiction_clause,[],[f99804]) ).
thf(f99806,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_206 ),
inference(constrained_superposition,[],[f692,f5746]) ).
thf(f99811,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f99806]) ).
thf(f99833,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_594 ),
inference(constrained_superposition,[],[f61230,f7073]) ).
thf(f99852,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_255
| ~ spl2_594 ),
inference(duplicate_literal_removal,[],[f99833]) ).
thf(f99853,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_594 ),
inference(trivial_inequality_removal,[],[f99852]) ).
thf(f99894,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f28,f61129]) ).
thf(f99917,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f99894]) ).
thf(f99933,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_173
| ~ spl2_206 ),
inference(constrained_superposition,[],[f99811,f5328]) ).
thf(f99941,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_173
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f99933]) ).
thf(f99942,plain,
( $false
| ~ spl2_47
| ~ spl2_173
| ~ spl2_202
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f99941,f5732]) ).
thf(f99943,plain,
( ~ spl2_47
| ~ spl2_173
| ~ spl2_202
| ~ spl2_206 ),
inference(avatar_contradiction_clause,[],[f99942]) ).
thf(f100184,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_211
| ~ spl2_249 ),
inference(constrained_superposition,[],[f99331,f5764]) ).
thf(f100185,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f99331,f50]) ).
thf(f100191,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_249 ),
inference(duplicate_literal_removal,[],[f100185]) ).
thf(f100192,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f100191]) ).
thf(f100196,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_211
| ~ spl2_249 ),
inference(duplicate_literal_removal,[],[f100184]) ).
thf(f100197,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_211
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f100196]) ).
thf(f100198,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| spl2_203
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f100192,f5735]) ).
thf(f100199,plain,
( spl2_38
| ~ spl2_211
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f100197,f6714,f5763,f429]) ).
thf(f100200,plain,
( spl2_38
| spl2_203
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f100198,f6714,f5734,f429]) ).
thf(f100207,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f99917,f51]) ).
thf(f100224,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f100207]) ).
thf(f100231,definition,
( spl2_800
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_800])],[avatar_definition]) ).
thf(f100232,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_800 ),
inference(avatar_component_clause,[],[f100231]) ).
thf(f100257,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_800 ),
inference(constrained_superposition,[],[f100232,f1673]) ).
thf(f100262,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_800 ),
inference(trivial_inequality_removal,[],[f100257]) ).
thf(f100269,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_427
| ~ spl2_800 ),
inference(forward_subsumption_resolution,[],[f100262,f31761]) ).
thf(f100271,plain,
( ~ spl2_324
| spl2_427
| ~ spl2_800 ),
inference(avatar_split_clause,[],[f100269,f100231,f31760,f12576]) ).
thf(f100538,definition,
( spl2_805
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_805])],[avatar_definition]) ).
thf(f100539,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_805 ),
inference(avatar_component_clause,[],[f100538]) ).
thf(f100573,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_256 ),
inference(constrained_superposition,[],[f7107,f7073]) ).
thf(f100580,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_255
| ~ spl2_256 ),
inference(duplicate_literal_removal,[],[f100573]) ).
thf(f100581,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_256 ),
inference(trivial_inequality_removal,[],[f100580]) ).
thf(f100683,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_140
| ~ spl2_202 ),
inference(constrained_superposition,[],[f99285,f3615]) ).
thf(f100684,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_202
| ~ spl2_244 ),
inference(constrained_superposition,[],[f99285,f6685]) ).
thf(f100692,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_244 ),
inference(duplicate_literal_removal,[],[f100684]) ).
thf(f100693,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_202
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f100692]) ).
thf(f100694,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_140
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f100683]) ).
thf(f100712,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_140
| ~ spl2_202
| ~ spl2_355 ),
inference(constrained_superposition,[],[f100694,f18373]) ).
thf(f100717,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_202
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f100712]) ).
thf(f100726,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_140
| ~ spl2_202
| ~ spl2_258
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f100717,f7258]) ).
thf(f100727,plain,
( spl2_390
| ~ spl2_140
| ~ spl2_202
| ~ spl2_258
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f100726,f18372,f7257,f5731,f3614,f23164]) ).
thf(f100732,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f2250,f61125]) ).
thf(f100733,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f55512,f61125]) ).
thf(f100746,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_589
| ~ spl2_671 ),
inference(constrained_superposition,[],[f64997,f61125]) ).
thf(f100748,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f28,f61125]) ).
thf(f100758,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f100733]) ).
thf(f100777,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f100748]) ).
thf(f100779,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_589
| ~ spl2_671 ),
inference(trivial_inequality_removal,[],[f100746]) ).
thf(f100780,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f100732]) ).
thf(f100792,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f100777,f76]) ).
thf(f100802,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f100792]) ).
thf(f100811,definition,
( spl2_806
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_806])],[avatar_definition]) ).
thf(f100812,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_806 ),
inference(avatar_component_clause,[],[f100811]) ).
thf(f100818,plain,
( spl2_761
| ~ spl2_278
| ~ spl2_36
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f99728,f3614,f419,f9002,f85200]) ).
thf(f100837,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_278
| ~ spl2_287 ),
inference(constrained_superposition,[],[f9511,f9003]) ).
thf(f100842,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_202
| ~ spl2_278 ),
inference(constrained_superposition,[],[f99285,f9003]) ).
thf(f100843,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_202
| ~ spl2_244
| ~ spl2_278 ),
inference(constrained_superposition,[],[f100693,f9003]) ).
thf(f100844,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_140
| ~ spl2_202
| ~ spl2_278 ),
inference(constrained_superposition,[],[f100694,f9003]) ).
thf(f100849,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_278
| ~ spl2_287 ),
inference(duplicate_literal_removal,[],[f100837]) ).
thf(f100850,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f100849]) ).
thf(f100851,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_140
| ~ spl2_202
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f100844]) ).
thf(f100852,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_202
| ~ spl2_244
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f100843]) ).
thf(f100855,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_202
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f100842]) ).
thf(f100859,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_31
| ~ spl2_278
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f100850,f2734]) ).
thf(f100860,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_31
| ~ spl2_140
| ~ spl2_202
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f100851,f2734]) ).
thf(f100861,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_40
| ~ spl2_202
| ~ spl2_244
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f100852,f2064]) ).
thf(f100862,plain,
( spl2_806
| ~ spl2_202
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f100855,f9002,f5731,f100811]) ).
thf(f100863,plain,
( spl2_30
| ~ spl2_31
| ~ spl2_278
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f100859,f9510,f9002,f379,f376]) ).
thf(f100864,plain,
( spl2_65
| ~ spl2_31
| ~ spl2_140
| ~ spl2_202
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f100860,f9002,f5731,f3614,f379,f1178]) ).
thf(f100865,plain,
( spl2_90
| ~ spl2_40
| ~ spl2_202
| ~ spl2_244
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f100861,f9002,f6684,f5731,f512,f2338]) ).
thf(f100866,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_204
| ~ spl2_258
| ~ spl2_785 ),
inference(forward_subsumption_resolution,[],[f99179,f5739]) ).
thf(f100868,plain,
( spl2_473
| ~ spl2_178
| ~ spl2_255
| ~ spl2_594 ),
inference(avatar_split_clause,[],[f99853,f61229,f7072,f5381,f36624]) ).
thf(f100871,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| spl2_234
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f100780,f72809]) ).
thf(f100874,plain,
( spl2_237
| ~ spl2_232
| ~ spl2_255
| ~ spl2_256 ),
inference(avatar_split_clause,[],[f100581,f7106,f7072,f6288,f6483]) ).
thf(f100876,plain,
( spl2_593
| ~ spl2_168
| spl2_301
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f100758,f61124,f10415,f5310,f61222]) ).
thf(f100886,plain,
( spl2_169
| ~ spl2_139
| ~ spl2_209
| ~ spl2_589
| ~ spl2_671 ),
inference(avatar_split_clause,[],[f100779,f64996,f61124,f5755,f3611,f5313]) ).
thf(f100888,plain,
( ~ spl2_132
| spl2_237
| ~ spl2_208
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f99692,f6918,f5752,f6483,f3406]) ).
thf(f100889,plain,
( spl2_189
| spl2_254
| ~ spl2_335
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f100802,f61124,f13845,f7068,f5502]) ).
thf(f100894,plain,
( ~ spl2_178
| ~ spl2_204
| ~ spl2_258
| ~ spl2_785 ),
inference(avatar_split_clause,[],[f100866,f94223,f7257,f5738,f5381]) ).
thf(f100895,plain,
( spl2_177
| ~ spl2_168
| spl2_234
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f100871,f61124,f6393,f5310,f5377]) ).
thf(f100979,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_254
| ~ spl2_256 ),
inference(constrained_superposition,[],[f7107,f7069]) ).
thf(f100989,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_254
| ~ spl2_256 ),
inference(trivial_inequality_removal,[],[f100979]) ).
thf(f101010,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_209 ),
inference(constrained_superposition,[],[f5756,f78]) ).
thf(f101013,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_209 ),
inference(trivial_inequality_removal,[],[f101010]) ).
thf(f101018,plain,
( spl2_301
| spl2_21
| spl2_209 ),
inference(avatar_split_clause,[],[f101013,f5755,f249,f10415]) ).
thf(f101025,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_214
| ~ spl2_301 ),
inference(constrained_superposition,[],[f5805,f10416]) ).
thf(f101028,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_301
| ~ spl2_378 ),
inference(constrained_superposition,[],[f20688,f10416]) ).
thf(f101037,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_214
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f101025]) ).
thf(f101040,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_301
| ~ spl2_378 ),
inference(trivial_inequality_removal,[],[f101028]) ).
thf(f101044,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132
| ~ spl2_301
| ~ spl2_378 ),
inference(forward_subsumption_resolution,[],[f101040,f3407]) ).
thf(f101045,plain,
( $false
| ~ spl2_132
| ~ spl2_178
| ~ spl2_301
| ~ spl2_378 ),
inference(forward_subsumption_resolution,[],[f101044,f5382]) ).
thf(f101046,plain,
( ~ spl2_132
| ~ spl2_178
| ~ spl2_301
| ~ spl2_378 ),
inference(avatar_contradiction_clause,[],[f101045]) ).
thf(f101047,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_269
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f100224,f8057]) ).
thf(f101055,plain,
( spl2_226
| ~ spl2_231
| spl2_269
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f101047,f61128,f8056,f5993,f5973]) ).
thf(f101058,plain,
( spl2_208
| ~ spl2_209
| ~ spl2_98
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f97559,f5760,f2724,f5755,f5752]) ).
thf(f101059,plain,
( ~ spl2_84
| spl2_238
| ~ spl2_254
| ~ spl2_256 ),
inference(avatar_split_clause,[],[f100989,f7106,f7068,f6487,f2310]) ).
thf(f101061,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132
| ~ spl2_214
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f101037,f3407]) ).
thf(f101068,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_234
| ~ spl2_678 ),
inference(forward_subsumption_resolution,[],[f92343,f72809]) ).
thf(f101070,definition,
( spl2_811
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_811])],[avatar_definition]) ).
thf(f101071,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_811 ),
inference(avatar_component_clause,[],[f101070]) ).
thf(f101077,plain,
( ~ spl2_94
| ~ spl2_132
| ~ spl2_214
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f101061,f10415,f5804,f3406,f2531]) ).
thf(f101079,plain,
( ~ spl2_98
| ~ spl2_117
| spl2_234
| ~ spl2_678 ),
inference(avatar_split_clause,[],[f101068,f66201,f6393,f3306,f2724]) ).
thf(f101127,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_98
| ~ spl2_555 ),
inference(constrained_superposition,[],[f58083,f2725]) ).
thf(f101128,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_98
| ~ spl2_156 ),
inference(constrained_superposition,[],[f4054,f2725]) ).
thf(f101140,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_98
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f101128]) ).
thf(f101142,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_98
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f101127]) ).
thf(f101153,plain,
( spl2_130
| spl2_84
| ~ spl2_98
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f101140,f4053,f2724,f2310,f3395]) ).
thf(f101154,plain,
( spl2_84
| ~ spl2_98
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f101142,f58082,f2724,f2310]) ).
thf(f101172,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_94 ),
inference(constrained_superposition,[],[f58,f2532]) ).
thf(f101175,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_94 ),
inference(trivial_inequality_removal,[],[f101172]) ).
thf(f101189,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_84
| ~ spl2_144 ),
inference(constrained_superposition,[],[f3903,f2311]) ).
thf(f101194,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_84
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f101189]) ).
thf(f101199,plain,
( $false
| ~ spl2_84
| ~ spl2_132
| ~ spl2_144 ),
inference(forward_subsumption_resolution,[],[f101194,f3407]) ).
thf(f101200,plain,
( ~ spl2_84
| ~ spl2_132
| ~ spl2_144 ),
inference(avatar_contradiction_clause,[],[f101199]) ).
thf(f101201,plain,
( spl2_98
| spl2_265
| ~ spl2_94 ),
inference(avatar_split_clause,[],[f101175,f2531,f7954,f2724]) ).
thf(f101277,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_249
| ~ spl2_274 ),
inference(constrained_superposition,[],[f8294,f6715]) ).
thf(f101282,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_249
| ~ spl2_274 ),
inference(duplicate_literal_removal,[],[f101277]) ).
thf(f101283,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_249
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f101282]) ).
thf(f101287,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_110
| ~ spl2_249
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f101283,f2965]) ).
thf(f101288,plain,
( spl2_237
| ~ spl2_110
| ~ spl2_249
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f101287,f8293,f6714,f2964,f6483]) ).
thf(f101338,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_287 ),
inference(constrained_superposition,[],[f9511,f6394]) ).
thf(f101339,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_606 ),
inference(constrained_superposition,[],[f62075,f6394]) ).
thf(f101341,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_234 ),
inference(constrained_superposition,[],[f58,f6394]) ).
thf(f101346,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_606 ),
inference(duplicate_literal_removal,[],[f101339]) ).
thf(f101347,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_606 ),
inference(trivial_inequality_removal,[],[f101346]) ).
thf(f101348,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f101341]) ).
thf(f101349,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_234
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f101338]) ).
thf(f101351,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_234
| ~ spl2_606 ),
inference(forward_subsumption_resolution,[],[f101347,f2532]) ).
thf(f101352,plain,
( spl2_353
| ~ spl2_94
| ~ spl2_234
| ~ spl2_606 ),
inference(avatar_split_clause,[],[f101351,f62074,f6393,f2531,f17771]) ).
thf(f101557,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_225
| ~ spl2_307 ),
inference(constrained_superposition,[],[f5934,f10721]) ).
thf(f101562,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_225
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f101557]) ).
thf(f101568,plain,
( $false
| ~ spl2_132
| ~ spl2_225
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f101562,f3407]) ).
thf(f101569,plain,
( ~ spl2_132
| ~ spl2_225
| ~ spl2_307 ),
inference(avatar_contradiction_clause,[],[f101568]) ).
thf(f101593,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f60,f5321]) ).
thf(f101631,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f101593]) ).
thf(f101644,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f83,f5325]) ).
thf(f101645,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f1409,f5325]) ).
thf(f101657,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true != $true ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f56266,f5325]) ).
thf(f101666,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f101657]) ).
thf(f101678,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f101645]) ).
thf(f101679,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f101644]) ).
thf(f101949,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_113
| ~ spl2_307 ),
inference(constrained_superposition,[],[f3067,f10721]) ).
thf(f101950,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_113
| ~ spl2_444 ),
inference(constrained_superposition,[],[f3067,f37677]) ).
thf(f101956,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_113
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f101949]) ).
thf(f101963,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_113
| ~ spl2_444 ),
inference(trivial_inequality_removal,[],[f101950]) ).
thf(f101965,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_113
| ~ spl2_249
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f101956,f6715]) ).
thf(f101967,plain,
( spl2_225
| ~ spl2_113
| ~ spl2_249
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f101965,f10720,f6714,f3066,f5933]) ).
thf(f101971,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_178
| ~ spl2_234
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f101349,f5382]) ).
thf(f101975,plain,
( spl2_275
| ~ spl2_178
| ~ spl2_234
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f101971,f9510,f6393,f5381,f8377]) ).
thf(f102036,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_444
| ~ spl2_513 ),
inference(constrained_superposition,[],[f43126,f37677]) ).
thf(f102046,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_444
| ~ spl2_513 ),
inference(trivial_inequality_removal,[],[f102036]) ).
thf(f102048,plain,
( $false
| ~ spl2_132
| ~ spl2_444
| ~ spl2_513 ),
inference(forward_subsumption_resolution,[],[f102046,f3407]) ).
thf(f102049,plain,
( ~ spl2_132
| ~ spl2_444
| ~ spl2_513 ),
inference(avatar_contradiction_clause,[],[f102048]) ).
thf(f102052,plain,
( ~ spl2_732
| spl2_513
| ~ spl2_113
| ~ spl2_444 ),
inference(avatar_split_clause,[],[f101963,f33824,f3066,f43125,f74001]) ).
thf(f102062,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_234
| ~ spl2_275 ),
inference(constrained_superposition,[],[f8378,f6394]) ).
thf(f102067,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_234
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f102062]) ).
thf(f102098,plain,
( spl2_703
| ~ spl2_203
| ~ spl2_139
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f101679,f5324,f3611,f5734,f72890]) ).
thf(f102100,plain,
( ~ spl2_278
| ~ spl2_140
| ~ spl2_234
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f102067,f8377,f6393,f3614,f9002]) ).
thf(f102109,plain,
( spl2_236
| spl2_139
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f101348,f6393,f3611,f6474]) ).
thf(f102352,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_444
| ~ spl2_767 ),
inference(constrained_superposition,[],[f86720,f37677]) ).
thf(f102361,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_444
| ~ spl2_767 ),
inference(trivial_inequality_removal,[],[f102352]) ).
thf(f102364,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132
| ~ spl2_444
| ~ spl2_767 ),
inference(forward_subsumption_resolution,[],[f102361,f3407]) ).
thf(f102365,plain,
( $false
| ~ spl2_94
| ~ spl2_132
| ~ spl2_444
| ~ spl2_767 ),
inference(forward_subsumption_resolution,[],[f102364,f2532]) ).
thf(f102366,plain,
( ~ spl2_94
| ~ spl2_132
| ~ spl2_444
| ~ spl2_767 ),
inference(avatar_contradiction_clause,[],[f102365]) ).
thf(f102369,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_139
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f101631,f5793]) ).
thf(f102372,plain,
( spl2_249
| spl2_226
| ~ spl2_139
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f102369,f5320,f3611,f5973,f6714]) ).
thf(f102494,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f101666,f41]) ).
thf(f102496,plain,
( spl2_250
| spl2_317
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f101678,f5324,f11448,f6719]) ).
thf(f102498,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f102494,f41]) ).
thf(f102501,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_172
| spl2_211 ),
inference(forward_subsumption_resolution,[],[f102498,f5794]) ).
thf(f102503,plain,
( spl2_250
| spl2_245
| ~ spl2_172
| spl2_211 ),
inference(avatar_split_clause,[],[f102501,f5763,f5324,f6688,f6719]) ).
thf(f102752,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_234
| ~ spl2_806 ),
inference(constrained_superposition,[],[f100812,f6394]) ).
thf(f102762,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_806 ),
inference(trivial_inequality_removal,[],[f102752]) ).
thf(f102767,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_132
| ~ spl2_234
| ~ spl2_806 ),
inference(forward_subsumption_resolution,[],[f102762,f3407]) ).
thf(f102768,plain,
( spl2_238
| ~ spl2_132
| ~ spl2_234
| ~ spl2_806 ),
inference(avatar_split_clause,[],[f102767,f100811,f6393,f3406,f6487]) ).
thf(f102831,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f27,f5477]) ).
thf(f102835,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f102831]) ).
thf(f102978,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f2250,f61129]) ).
thf(f102981,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f341,f61129]) ).
thf(f102982,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f87,f61129]) ).
thf(f102983,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f176,f61129]) ).
thf(f102986,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f83,f61129]) ).
thf(f102987,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f1409,f61129]) ).
thf(f102989,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f1448,f61129]) ).
thf(f102991,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f58443,f61129]) ).
thf(f102993,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f28,f61129]) ).
thf(f102999,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f56266,f61129]) ).
thf(f103001,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f102987]) ).
thf(f103008,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f102991]) ).
thf(f103011,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f102989]) ).
thf(f103012,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f102983]) ).
thf(f103013,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f102982]) ).
thf(f103016,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f102986]) ).
thf(f103018,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f102981]) ).
thf(f103020,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f102999]) ).
thf(f103021,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f102978]) ).
thf(f103022,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f102993]) ).
thf(f103076,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| ~ spl2_755 ),
inference(constrained_superposition,[],[f81448,f5328]) ).
thf(f103087,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| ~ spl2_755 ),
inference(trivial_inequality_removal,[],[f103076]) ).
thf(f103091,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| ~ spl2_208
| ~ spl2_755 ),
inference(forward_subsumption_resolution,[],[f103087,f5753]) ).
thf(f103092,plain,
( $false
| ~ spl2_173
| ~ spl2_206
| ~ spl2_208
| ~ spl2_755 ),
inference(forward_subsumption_resolution,[],[f103091,f5746]) ).
thf(f103093,plain,
( ~ spl2_173
| ~ spl2_206
| ~ spl2_208
| ~ spl2_755 ),
inference(avatar_contradiction_clause,[],[f103092]) ).
thf(f103203,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f28,f61118]) ).
thf(f103229,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f103203]) ).
thf(f103294,plain,
( ~ spl2_209
| spl2_207
| spl2_255
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f103021,f61128,f7072,f5749,f5755]) ).
thf(f103295,plain,
( ~ spl2_141
| spl2_229
| spl2_254
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f103013,f61128,f7068,f5984,f3617]) ).
thf(f103351,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_265
| ~ spl2_301 ),
inference(constrained_superposition,[],[f7955,f10416]) ).
thf(f103360,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_265
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f103351]) ).
thf(f103367,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_244
| ~ spl2_265
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f103360,f6685]) ).
thf(f103369,plain,
( spl2_214
| ~ spl2_244
| ~ spl2_265
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f103367,f10415,f7954,f6684,f5804]) ).
thf(f103620,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_255
| ~ spl2_342 ),
inference(constrained_superposition,[],[f14076,f7073]) ).
thf(f103630,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_255
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f103620]) ).
thf(f103631,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_255
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f103630,f2532]) ).
thf(f103632,plain,
( spl2_238
| ~ spl2_94
| ~ spl2_255
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f103631,f14075,f7072,f2531,f6487]) ).
thf(f103671,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_606 ),
inference(constrained_superposition,[],[f62075,f5328]) ).
thf(f103680,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_173
| ~ spl2_606 ),
inference(trivial_inequality_removal,[],[f103671]) ).
thf(f103698,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f103022,f76]) ).
thf(f103702,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f103022,f1673]) ).
thf(f103707,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f103698]) ).
thf(f103713,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f103702]) ).
thf(f103758,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_301
| ~ spl2_339 ),
inference(constrained_superposition,[],[f13998,f10416]) ).
thf(f103764,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_301
| ~ spl2_339 ),
inference(duplicate_literal_removal,[],[f103758]) ).
thf(f103765,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_301
| ~ spl2_339 ),
inference(trivial_inequality_removal,[],[f103764]) ).
thf(f103773,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_405 ),
inference(constrained_superposition,[],[f26280,f50]) ).
thf(f103782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_405 ),
inference(trivial_inequality_removal,[],[f103773]) ).
thf(f103841,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f103229,f76]) ).
thf(f103855,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f103841]) ).
thf(f103857,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_246
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f103855,f7325]) ).
thf(f103858,plain,
( spl2_189
| ~ spl2_464
| spl2_246
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f103857,f61117,f6697,f36568,f5502]) ).
thf(f103859,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_274
| ~ spl2_588 ),
inference(constrained_superposition,[],[f8294,f61121]) ).
thf(f103860,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_322
| ~ spl2_588 ),
inference(constrained_superposition,[],[f12456,f61121]) ).
thf(f103876,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_274
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f103859]) ).
thf(f103878,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_322
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f103860]) ).
thf(f103881,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_274
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f103876,f7073]) ).
thf(f103883,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_188
| ~ spl2_322
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f103878,f5499]) ).
thf(f103884,plain,
( spl2_811
| ~ spl2_255
| ~ spl2_274
| ~ spl2_588 ),
inference(avatar_split_clause,[],[f103881,f61120,f8293,f7072,f101070]) ).
thf(f103885,plain,
( $false
| ~ spl2_180
| ~ spl2_188
| ~ spl2_322
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f103883,f5477]) ).
thf(f103886,plain,
( ~ spl2_180
| ~ spl2_188
| ~ spl2_322
| ~ spl2_588 ),
inference(avatar_contradiction_clause,[],[f103885]) ).
thf(f103916,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6
| ~ spl2_282 ),
inference(constrained_superposition,[],[f9405,f99256]) ).
thf(f103927,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f103916]) ).
thf(f103944,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_535
| ~ spl2_588 ),
inference(constrained_superposition,[],[f52584,f61121]) ).
thf(f103949,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_535
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f103944]) ).
thf(f103955,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_255
| ~ spl2_535
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f103949,f7073]) ).
thf(f103957,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_255
| ~ spl2_535
| ~ spl2_588 ),
inference(constrained_superposition,[],[f103955,f50]) ).
thf(f103971,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_255
| ~ spl2_535
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f103957]) ).
thf(f103977,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_40
| ~ spl2_255
| ~ spl2_535
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f103971,f2064]) ).
thf(f103980,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_40
| ~ spl2_110
| ~ spl2_255
| ~ spl2_535
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f103977,f2965]) ).
thf(f103981,plain,
( $false
| ~ spl2_40
| ~ spl2_110
| spl2_191
| ~ spl2_255
| ~ spl2_535
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f103980,f6694]) ).
thf(f103982,plain,
( ~ spl2_40
| ~ spl2_110
| spl2_191
| ~ spl2_255
| ~ spl2_535
| ~ spl2_588 ),
inference(avatar_contradiction_clause,[],[f103981]) ).
thf(f103986,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_258
| ~ spl2_740 ),
inference(constrained_superposition,[],[f74895,f7258]) ).
thf(f103990,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_258
| ~ spl2_740 ),
inference(trivial_inequality_removal,[],[f103986]) ).
thf(f104053,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_213
| ~ spl2_588 ),
inference(constrained_superposition,[],[f5799,f61121]) ).
thf(f104063,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_213
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f104053]) ).
thf(f104067,definition,
( spl2_814
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_814])],[avatar_definition]) ).
thf(f104068,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_814 ),
inference(avatar_component_clause,[],[f104067]) ).
thf(f104069,plain,
( ~ spl2_371
| spl2_814
| ~ spl2_213
| ~ spl2_588 ),
inference(avatar_split_clause,[],[f104063,f61120,f5798,f104067,f20309]) ).
thf(f104150,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_180
| ~ spl2_255 ),
inference(constrained_superposition,[],[f102835,f7073]) ).
thf(f104158,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_180
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f104150]) ).
thf(f104160,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_255
| ~ spl2_417 ),
inference(constrained_superposition,[],[f104158,f31618]) ).
thf(f104161,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_255
| ~ spl2_442 ),
inference(constrained_superposition,[],[f104158,f33508]) ).
thf(f104167,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_255
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f104161]) ).
thf(f104168,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_180
| ~ spl2_255
| ~ spl2_417 ),
inference(trivial_inequality_removal,[],[f104160]) ).
thf(f104173,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f104167,f5753]) ).
thf(f104174,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_255
| ~ spl2_417
| ~ spl2_427 ),
inference(forward_subsumption_resolution,[],[f104168,f36647]) ).
thf(f104175,plain,
( spl2_775
| ~ spl2_180
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f104173,f33507,f7072,f5752,f5425,f87554]) ).
thf(f104176,plain,
( spl2_805
| ~ spl2_180
| ~ spl2_255
| ~ spl2_417
| ~ spl2_427 ),
inference(avatar_split_clause,[],[f104174,f31760,f31617,f7072,f5425,f100538]) ).
thf(f104181,plain,
( spl2_207
| ~ spl2_324
| spl2_255
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f103713,f61128,f7072,f12576,f5749]) ).
thf(f104189,plain,
( ~ spl2_246
| spl2_775
| ~ spl2_173
| ~ spl2_606 ),
inference(avatar_split_clause,[],[f103680,f62074,f5327,f87554,f6697]) ).
thf(f104191,definition,
( spl2_816
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_816])],[avatar_definition]) ).
thf(f104192,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_816 ),
inference(avatar_component_clause,[],[f104191]) ).
thf(f104193,plain,
( spl2_816
| ~ spl2_132
| ~ spl2_301
| ~ spl2_339 ),
inference(avatar_split_clause,[],[f103765,f13997,f10415,f3406,f104191]) ).
thf(f104202,plain,
( spl2_229
| spl2_254
| ~ spl2_335
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f103707,f61128,f13845,f7068,f5984]) ).
thf(f104204,definition,
( spl2_818
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_818])],[avatar_definition]) ).
thf(f104205,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_818 ),
inference(avatar_component_clause,[],[f104204]) ).
thf(f104320,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_254
| ~ spl2_740 ),
inference(constrained_superposition,[],[f74895,f7069]) ).
thf(f104333,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_254
| ~ spl2_740 ),
inference(trivial_inequality_removal,[],[f104320]) ).
thf(f104335,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_206 ),
inference(constrained_superposition,[],[f692,f5746]) ).
thf(f104341,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f104335]) ).
thf(f104353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_213
| ~ spl2_246 ),
inference(constrained_superposition,[],[f5799,f6698]) ).
thf(f104360,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_213
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f104353]) ).
thf(f104364,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f87,f5311]) ).
thf(f104390,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f104364]) ).
thf(f104468,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_287
| ~ spl2_355 ),
inference(constrained_superposition,[],[f9511,f18373]) ).
thf(f104469,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_337
| ~ spl2_355 ),
inference(constrained_superposition,[],[f13980,f18373]) ).
thf(f104475,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_355
| ~ spl2_793 ),
inference(constrained_superposition,[],[f96637,f18373]) ).
thf(f104482,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_287
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f104468]) ).
thf(f104484,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_355
| ~ spl2_793 ),
inference(trivial_inequality_removal,[],[f104475]) ).
thf(f104488,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_337
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f104469]) ).
thf(f104498,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f55512,f5321]) ).
thf(f104499,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f201,f5321]) ).
thf(f104506,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f1409,f5321]) ).
thf(f104524,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f104498]) ).
thf(f104531,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f104499]) ).
thf(f104535,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f104506]) ).
thf(f104560,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_47
| ~ spl2_206
| ~ spl2_211 ),
inference(constrained_superposition,[],[f104341,f5764]) ).
thf(f104561,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_47
| ~ spl2_206 ),
inference(constrained_superposition,[],[f104341,f50]) ).
thf(f104575,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_206
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f104560]) ).
thf(f104577,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f104561]) ).
thf(f104595,plain,
( ~ spl2_149
| ~ spl2_47
| ~ spl2_206
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f104575,f5763,f5745,f691,f4018]) ).
thf(f104597,plain,
( spl2_188
| spl2_593
| ~ spl2_195
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f103018,f61128,f5707,f61222,f5498]) ).
thf(f104602,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| spl2_203
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f104577,f5735]) ).
thf(f104604,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_301
| ~ spl2_355
| ~ spl2_793 ),
inference(forward_subsumption_resolution,[],[f104484,f10416]) ).
thf(f104605,plain,
( spl2_629
| ~ spl2_191
| ~ spl2_139
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f103016,f61128,f3611,f5519,f63710]) ).
thf(f104607,plain,
( spl2_593
| ~ spl2_141
| spl2_180
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f103012,f61128,f5425,f3617,f61222]) ).
thf(f104612,plain,
( spl2_197
| spl2_198
| ~ spl2_195
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f104531,f5320,f5707,f5717,f5714]) ).
thf(f104618,plain,
( spl2_214
| ~ spl2_202
| ~ spl2_213
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f104360,f6697,f5798,f5731,f5804]) ).
thf(f104620,plain,
( spl2_181
| spl2_613
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f103001,f61128,f63564,f5428]) ).
thf(f104622,plain,
( ~ spl2_202
| spl2_214
| ~ spl2_254
| ~ spl2_740 ),
inference(avatar_split_clause,[],[f104333,f74894,f7068,f5804,f5731]) ).
thf(f104623,plain,
( spl2_378
| ~ spl2_204
| ~ spl2_258
| ~ spl2_740 ),
inference(avatar_split_clause,[],[f103990,f74894,f7257,f5738,f20687]) ).
thf(f104626,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f103020,f41]) ).
thf(f104632,plain,
( ~ spl2_149
| ~ spl2_47
| spl2_203
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f104602,f5745,f5734,f691,f4018]) ).
thf(f104634,plain,
( ~ spl2_202
| ~ spl2_301
| ~ spl2_355
| ~ spl2_793 ),
inference(avatar_split_clause,[],[f104604,f96636,f18372,f10415,f5731]) ).
thf(f104644,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f104626,f41]) ).
thf(f104647,plain,
( spl2_257
| spl2_181
| spl2_250
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f104644,f61128,f6719,f5428,f7157]) ).
thf(f104650,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6
| ~ spl2_282 ),
inference(forward_subsumption_resolution,[],[f103927,f41]) ).
thf(f104653,plain,
( spl2_793
| spl2_186
| ~ spl2_149
| spl2_181
| ~ spl2_6
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f104650,f9404,f95,f5428,f4018,f5491,f96636]) ).
thf(f104667,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_139
| ~ spl2_558 ),
inference(constrained_superposition,[],[f58093,f5793]) ).
thf(f104684,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_139
| ~ spl2_558 ),
inference(trivial_inequality_removal,[],[f104667]) ).
thf(f104698,plain,
( spl2_204
| ~ spl2_139
| ~ spl2_558 ),
inference(avatar_split_clause,[],[f104684,f58092,f3611,f5738]) ).
thf(f104800,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_204
| ~ spl2_816 ),
inference(constrained_superposition,[],[f104192,f5739]) ).
thf(f104809,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_204
| ~ spl2_816 ),
inference(trivial_inequality_removal,[],[f104800]) ).
thf(f104814,plain,
( $false
| ~ spl2_178
| ~ spl2_204
| ~ spl2_816 ),
inference(forward_subsumption_resolution,[],[f104809,f5382]) ).
thf(f104815,plain,
( ~ spl2_178
| ~ spl2_204
| ~ spl2_816 ),
inference(avatar_contradiction_clause,[],[f104814]) ).
thf(f104817,plain,
( spl2_210
| spl2_211
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f104535,f5320,f5763,f5760]) ).
thf(f104818,plain,
( spl2_269
| ~ spl2_139
| spl2_629
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f103008,f61128,f63710,f3611,f8056]) ).
thf(f104820,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_254
| ~ spl2_337
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f104488,f7069]) ).
thf(f104826,plain,
( spl2_189
| ~ spl2_247
| spl2_94
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f104390,f5310,f2531,f6703,f5502]) ).
thf(f104833,plain,
( ~ spl2_139
| spl2_269
| spl2_181
| ~ spl2_231
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f103011,f61128,f5993,f5428,f8056,f3611]) ).
thf(f104837,plain,
( ~ spl2_209
| spl2_307
| spl2_196
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f104524,f5320,f5710,f10720,f5755]) ).
thf(f104842,definition,
( spl2_819
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_819])],[avatar_definition]) ).
thf(f104843,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_819 ),
inference(avatar_component_clause,[],[f104842]) ).
thf(f104845,plain,
( spl2_268
| ~ spl2_254
| ~ spl2_337
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f104820,f18372,f13979,f7068,f8053]) ).
thf(f104847,definition,
( spl2_820
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_820])],[avatar_definition]) ).
thf(f104848,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_820 ),
inference(avatar_component_clause,[],[f104847]) ).
thf(f104891,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_191
| ~ spl2_558 ),
inference(constrained_superposition,[],[f58093,f5520]) ).
thf(f104913,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_191
| ~ spl2_558 ),
inference(trivial_inequality_removal,[],[f104891]) ).
thf(f104923,plain,
( spl2_188
| ~ spl2_191
| ~ spl2_558 ),
inference(avatar_split_clause,[],[f104913,f58092,f5519,f5498]) ).
thf(f104958,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_156
| ~ spl2_203 ),
inference(constrained_superposition,[],[f4054,f5800]) ).
thf(f104980,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_156
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f104958]) ).
thf(f104988,plain,
( spl2_216
| spl2_206
| ~ spl2_156
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f104980,f5734,f4053,f5745,f5854]) ).
thf(f105085,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_337 ),
inference(constrained_superposition,[],[f13980,f6394]) ).
thf(f105089,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f105085]) ).
thf(f105092,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_234
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f105089,f2532]) ).
thf(f105094,plain,
( spl2_238
| ~ spl2_94
| ~ spl2_234
| ~ spl2_337 ),
inference(avatar_split_clause,[],[f105092,f13979,f6393,f2531,f6487]) ).
thf(f105243,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_173
| ~ spl2_287 ),
inference(constrained_superposition,[],[f9511,f5328]) ).
thf(f105244,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_173
| ~ spl2_337 ),
inference(constrained_superposition,[],[f13980,f5328]) ).
thf(f105250,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f105244]) ).
thf(f105252,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_173
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f105243]) ).
thf(f105253,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_173
| ~ spl2_246
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f105250,f6698]) ).
thf(f105255,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_173
| ~ spl2_198
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f105252,f5718]) ).
thf(f105256,plain,
( spl2_224
| ~ spl2_173
| ~ spl2_246
| ~ spl2_337 ),
inference(avatar_split_clause,[],[f105253,f13979,f6697,f5327,f5929]) ).
thf(f105257,plain,
( spl2_766
| ~ spl2_173
| ~ spl2_198
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f105255,f9510,f5717,f5327,f86389]) ).
thf(f105308,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f341,f61114]) ).
thf(f105311,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f60,f61114]) ).
thf(f105327,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f105308]) ).
thf(f105337,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f105311]) ).
thf(f105773,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_171
| ~ spl2_601 ),
inference(constrained_superposition,[],[f61834,f5321]) ).
thf(f105778,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_171
| ~ spl2_601 ),
inference(trivial_inequality_removal,[],[f105773]) ).
thf(f105785,plain,
( $false
| ~ spl2_171
| ~ spl2_590
| ~ spl2_601 ),
inference(forward_subsumption_resolution,[],[f105778,f61129]) ).
thf(f105786,plain,
( ~ spl2_171
| ~ spl2_590
| ~ spl2_601 ),
inference(avatar_contradiction_clause,[],[f105785]) ).
thf(f105788,plain,
( spl2_216
| spl2_269
| ~ spl2_203
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f105337,f61113,f5734,f8056,f5854]) ).
thf(f105802,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_139
| ~ spl2_405 ),
inference(forward_subsumption_resolution,[],[f103782,f3612]) ).
thf(f105817,plain,
( spl2_601
| spl2_188
| ~ spl2_205
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f105327,f61113,f5741,f5498,f61833]) ).
thf(f105839,plain,
( spl2_818
| ~ spl2_40
| spl2_139
| ~ spl2_405 ),
inference(avatar_split_clause,[],[f105802,f26279,f3611,f512,f104204]) ).
thf(f105859,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_113
| ~ spl2_178 ),
inference(constrained_superposition,[],[f3067,f5382]) ).
thf(f105862,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_113
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f105859]) ).
thf(f105993,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| spl2_20
| ~ spl2_650 ),
inference(constrained_superposition,[],[f7197,f63973]) ).
thf(f105997,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_47
| ~ spl2_650 ),
inference(constrained_superposition,[],[f692,f63973]) ).
thf(f106007,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_650
| ~ spl2_811 ),
inference(constrained_superposition,[],[f101071,f63973]) ).
thf(f106010,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_516
| ~ spl2_650 ),
inference(constrained_superposition,[],[f44957,f63973]) ).
thf(f106015,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_650 ),
inference(trivial_inequality_removal,[],[f105997]) ).
thf(f106020,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_20
| ~ spl2_650 ),
inference(trivial_inequality_removal,[],[f105993]) ).
thf(f106023,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_650
| ~ spl2_811 ),
inference(trivial_inequality_removal,[],[f106007]) ).
thf(f106024,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_516
| ~ spl2_650 ),
inference(trivial_inequality_removal,[],[f106010]) ).
thf(f106071,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f60,f5325]) ).
thf(f106078,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f58443,f5325]) ).
thf(f106088,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f106071]) ).
thf(f106100,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f106078]) ).
thf(f106308,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_532
| ~ spl2_588 ),
inference(constrained_superposition,[],[f51838,f61121]) ).
thf(f106312,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_532
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f106308]) ).
thf(f106322,plain,
( $false
| ~ spl2_206
| ~ spl2_532
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f106312,f5746]) ).
thf(f106323,plain,
( ~ spl2_206
| ~ spl2_532
| ~ spl2_588 ),
inference(avatar_contradiction_clause,[],[f106322]) ).
thf(f106422,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_47
| ~ spl2_198
| ~ spl2_650 ),
inference(constrained_superposition,[],[f106015,f5718]) ).
thf(f106444,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_47
| ~ spl2_198
| ~ spl2_650 ),
inference(trivial_inequality_removal,[],[f106422]) ).
thf(f106478,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_304
| ~ spl2_587 ),
inference(constrained_superposition,[],[f10697,f61118]) ).
thf(f106485,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_304
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f106478]) ).
thf(f106488,plain,
( $false
| ~ spl2_168
| ~ spl2_304
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f106485,f5311]) ).
thf(f106489,plain,
( ~ spl2_168
| ~ spl2_304
| ~ spl2_587 ),
inference(avatar_contradiction_clause,[],[f106488]) ).
thf(f106536,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_170
| ~ spl2_818 ),
inference(constrained_superposition,[],[f104205,f5318]) ).
thf(f106544,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_170
| ~ spl2_818 ),
inference(trivial_inequality_removal,[],[f106536]) ).
thf(f106551,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_170
| ~ spl2_211
| ~ spl2_818 ),
inference(forward_subsumption_resolution,[],[f106544,f5764]) ).
thf(f106553,plain,
( $false
| ~ spl2_170
| ~ spl2_194
| ~ spl2_211
| ~ spl2_818 ),
inference(forward_subsumption_resolution,[],[f106551,f5705]) ).
thf(f106554,plain,
( ~ spl2_170
| ~ spl2_194
| ~ spl2_211
| ~ spl2_818 ),
inference(avatar_contradiction_clause,[],[f106553]) ).
thf(f106569,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_307
| ~ spl2_766 ),
inference(constrained_superposition,[],[f86390,f10721]) ).
thf(f106582,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_307
| ~ spl2_766 ),
inference(trivial_inequality_removal,[],[f106569]) ).
thf(f106587,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_132
| ~ spl2_307
| ~ spl2_766 ),
inference(forward_subsumption_resolution,[],[f106582,f3407]) ).
thf(f106588,plain,
( $false
| ~ spl2_132
| ~ spl2_178
| ~ spl2_307
| ~ spl2_766 ),
inference(forward_subsumption_resolution,[],[f106587,f5382]) ).
thf(f106589,plain,
( ~ spl2_132
| ~ spl2_178
| ~ spl2_307
| ~ spl2_766 ),
inference(avatar_contradiction_clause,[],[f106588]) ).
thf(f106595,definition,
( spl2_823
<=> ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_823])],[avatar_definition]) ).
thf(f106596,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_823 ),
inference(avatar_component_clause,[],[f106595]) ).
thf(f106599,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_47
| ~ spl2_198
| ~ spl2_206
| ~ spl2_650 ),
inference(forward_subsumption_resolution,[],[f106444,f5746]) ).
thf(f106608,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_172
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f106100,f73780]) ).
thf(f106609,plain,
( ~ spl2_258
| spl2_270
| ~ spl2_287
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f104482,f18372,f9510,f8084,f7257]) ).
thf(f106615,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f106088,f73780]) ).
thf(f106616,plain,
( spl2_31
| spl2_20
| ~ spl2_650 ),
inference(avatar_split_clause,[],[f106020,f63972,f246,f379]) ).
thf(f106623,plain,
( ~ spl2_308
| spl2_30
| ~ spl2_113
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f105862,f5381,f3066,f376,f10829]) ).
thf(f106625,plain,
( spl2_31
| ~ spl2_47
| ~ spl2_198
| ~ spl2_206
| ~ spl2_650 ),
inference(avatar_split_clause,[],[f106599,f63972,f5745,f5717,f691,f379]) ).
thf(f106626,plain,
( ~ spl2_203
| spl2_703
| ~ spl2_172
| spl2_278 ),
inference(avatar_split_clause,[],[f106608,f9002,f5324,f72890,f5734]) ).
thf(f106628,plain,
( ~ spl2_203
| spl2_216
| ~ spl2_172
| spl2_278 ),
inference(avatar_split_clause,[],[f106615,f9002,f5324,f5854,f5734]) ).
thf(f106647,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_555 ),
inference(constrained_superposition,[],[f58083,f385]) ).
thf(f106669,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_555 ),
inference(trivial_inequality_removal,[],[f106647]) ).
thf(f106677,plain,
( spl2_20
| ~ spl2_17
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f106669,f58082,f219,f246]) ).
thf(f106680,definition,
( spl2_827
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_827])],[avatar_definition]) ).
thf(f106681,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_827 ),
inference(avatar_component_clause,[],[f106680]) ).
thf(f106686,plain,
( spl2_643
| spl2_31
| spl2_204
| spl2_83 ),
inference(avatar_split_clause,[],[f58384,f2307,f5738,f379,f63878]) ).
thf(f106687,plain,
( ~ spl2_149
| spl2_211
| spl2_819
| ~ spl2_516
| ~ spl2_650 ),
inference(avatar_split_clause,[],[f106024,f63972,f44956,f104842,f5763,f4018]) ).
thf(f106689,plain,
( spl2_181
| ~ spl2_84
| ~ spl2_149
| ~ spl2_650
| ~ spl2_811 ),
inference(avatar_split_clause,[],[f106023,f101070,f63972,f4018,f2310,f5428]) ).
thf(f106785,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_244 ),
inference(constrained_superposition,[],[f58,f6685]) ).
thf(f106788,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f106785]) ).
thf(f106810,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_140 ),
inference(constrained_superposition,[],[f58,f3615]) ).
thf(f106815,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f106810]) ).
thf(f106830,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_282 ),
inference(constrained_superposition,[],[f9405,f5477]) ).
thf(f106831,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_180
| ~ spl2_747 ),
inference(constrained_superposition,[],[f77228,f5477]) ).
thf(f106832,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_180
| ~ spl2_811 ),
inference(constrained_superposition,[],[f101071,f5477]) ).
thf(f106836,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_180
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f106830]) ).
thf(f106837,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_180
| ~ spl2_811 ),
inference(trivial_inequality_removal,[],[f106832]) ).
thf(f106838,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_747 ),
inference(trivial_inequality_removal,[],[f106831]) ).
thf(f106839,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_149
| ~ spl2_180
| ~ spl2_282 ),
inference(forward_subsumption_resolution,[],[f106836,f4019]) ).
thf(f106840,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_180
| ~ spl2_811 ),
inference(forward_subsumption_resolution,[],[f106837,f2311]) ).
thf(f106841,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_149
| ~ spl2_180
| ~ spl2_747 ),
inference(forward_subsumption_resolution,[],[f106838,f4019]) ).
thf(f106842,plain,
( spl2_793
| ~ spl2_149
| ~ spl2_180
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f106839,f9404,f5425,f4018,f96636]) ).
thf(f106843,plain,
( $false
| ~ spl2_84
| ~ spl2_149
| ~ spl2_180
| ~ spl2_811 ),
inference(forward_subsumption_resolution,[],[f106840,f4019]) ).
thf(f106844,plain,
( ~ spl2_84
| ~ spl2_149
| ~ spl2_180
| ~ spl2_811 ),
inference(avatar_contradiction_clause,[],[f106843]) ).
thf(f106845,plain,
( spl2_790
| ~ spl2_149
| ~ spl2_180
| ~ spl2_747 ),
inference(avatar_split_clause,[],[f106841,f77227,f5425,f4018,f95401]) ).
thf(f107071,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_355 ),
inference(constrained_superposition,[],[f58,f18373]) ).
thf(f107080,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f107071]) ).
thf(f107131,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f2250,f5321]) ).
thf(f107133,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f201,f5321]) ).
thf(f107134,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f341,f5321]) ).
thf(f107136,plain,
( ! [X0: $i] :
( ( $true != $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 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f176,f5321]) ).
thf(f107154,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f107131]) ).
thf(f107158,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f107136]) ).
thf(f107162,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f107133]) ).
thf(f107165,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f107134]) ).
thf(f107451,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_206
| ~ spl2_794 ),
inference(constrained_superposition,[],[f96713,f5746]) ).
thf(f107453,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_794 ),
inference(constrained_superposition,[],[f96713,f2311]) ).
thf(f107459,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_206
| ~ spl2_794 ),
inference(trivial_inequality_removal,[],[f107451]) ).
thf(f107462,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_84
| ~ spl2_794 ),
inference(trivial_inequality_removal,[],[f107453]) ).
thf(f107468,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_206
| ~ spl2_211
| ~ spl2_794 ),
inference(forward_subsumption_resolution,[],[f107459,f5764]) ).
thf(f107469,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_110
| ~ spl2_794 ),
inference(forward_subsumption_resolution,[],[f107462,f2965]) ).
thf(f107471,plain,
( spl2_505
| ~ spl2_206
| ~ spl2_211
| ~ spl2_794 ),
inference(avatar_split_clause,[],[f107468,f96712,f5763,f5745,f42533]) ).
thf(f107472,plain,
( spl2_126
| ~ spl2_84
| ~ spl2_110
| ~ spl2_794 ),
inference(avatar_split_clause,[],[f107469,f96712,f2964,f2310,f3370]) ).
thf(f107508,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_206
| ~ spl2_777 ),
inference(constrained_superposition,[],[f87564,f5746]) ).
thf(f107517,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_206
| ~ spl2_777 ),
inference(trivial_inequality_removal,[],[f107508]) ).
thf(f107518,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_149
| ~ spl2_206
| ~ spl2_777 ),
inference(forward_subsumption_resolution,[],[f107517,f4019]) ).
thf(f107519,plain,
( $false
| ~ spl2_84
| ~ spl2_149
| ~ spl2_206
| ~ spl2_777 ),
inference(forward_subsumption_resolution,[],[f107518,f2311]) ).
thf(f107520,plain,
( ~ spl2_84
| ~ spl2_149
| ~ spl2_206
| ~ spl2_777 ),
inference(avatar_contradiction_clause,[],[f107519]) ).
thf(f107522,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_797 ),
inference(constrained_superposition,[],[f99097,f50]) ).
thf(f107533,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_797 ),
inference(trivial_inequality_removal,[],[f107522]) ).
thf(f107545,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_814 ),
inference(constrained_superposition,[],[f104068,f5314]) ).
thf(f107555,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_814 ),
inference(trivial_inequality_removal,[],[f107545]) ).
thf(f107582,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_169
| ~ spl2_790 ),
inference(constrained_superposition,[],[f95402,f5314]) ).
thf(f107586,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_169
| ~ spl2_790 ),
inference(trivial_inequality_removal,[],[f107582]) ).
thf(f107594,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_84
| ~ spl2_169
| ~ spl2_790 ),
inference(forward_subsumption_resolution,[],[f107586,f2311]) ).
thf(f107595,plain,
( $false
| ~ spl2_84
| ~ spl2_169
| ~ spl2_234
| ~ spl2_790 ),
inference(forward_subsumption_resolution,[],[f107594,f6394]) ).
thf(f107596,plain,
( ~ spl2_84
| ~ spl2_169
| ~ spl2_234
| ~ spl2_790 ),
inference(avatar_contradiction_clause,[],[f107595]) ).
thf(f107599,plain,
( spl2_196
| ~ spl2_195
| spl2_194
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f107165,f5320,f5704,f5707,f5710]) ).
thf(f107601,plain,
( spl2_287
| spl2_139
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f106815,f3614,f3611,f9510]) ).
thf(f107602,plain,
( spl2_747
| spl2_139
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f107080,f18372,f3611,f77227]) ).
thf(f107604,plain,
( spl2_207
| ~ spl2_209
| spl2_208
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f107154,f5320,f5752,f5755,f5749]) ).
thf(f107607,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_110
| ~ spl2_797 ),
inference(forward_subsumption_resolution,[],[f107533,f2965]) ).
thf(f107608,plain,
( spl2_206
| ~ spl2_141
| spl2_196
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f107158,f5320,f5710,f3617,f5745]) ).
thf(f107609,plain,
( spl2_198
| ~ spl2_195
| spl2_197
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f107162,f5320,f5714,f5707,f5717]) ).
thf(f107612,plain,
( spl2_139
| spl2_337
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f106788,f6684,f13979,f3611]) ).
thf(f107615,definition,
( spl2_829
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_829])],[avatar_definition]) ).
thf(f107616,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_829 ),
inference(avatar_component_clause,[],[f107615]) ).
thf(f107622,plain,
( spl2_139
| ~ spl2_31
| ~ spl2_110
| ~ spl2_797 ),
inference(avatar_split_clause,[],[f107607,f99096,f2964,f379,f3611]) ).
thf(f107680,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f28,f5793]) ).
thf(f107689,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f107680]) ).
thf(f107722,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f27,f5732]) ).
thf(f107725,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f107722]) ).
thf(f107808,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_110
| ~ spl2_345 ),
inference(constrained_superposition,[],[f16020,f2965]) ).
thf(f107809,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f16020,f50]) ).
thf(f107813,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_110
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f107808]) ).
thf(f107817,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f107809]) ).
thf(f107980,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_588 ),
inference(constrained_superposition,[],[f27,f61121]) ).
thf(f107985,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f107980]) ).
thf(f108013,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_181
| ~ spl2_829 ),
inference(constrained_superposition,[],[f107616,f9399]) ).
thf(f108015,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_588
| ~ spl2_829 ),
inference(constrained_superposition,[],[f107616,f61121]) ).
thf(f108020,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_181
| ~ spl2_829 ),
inference(trivial_inequality_removal,[],[f108013]) ).
thf(f108024,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_588
| ~ spl2_829 ),
inference(trivial_inequality_removal,[],[f108015]) ).
thf(f108027,plain,
( $false
| ~ spl2_132
| ~ spl2_181
| ~ spl2_829 ),
inference(forward_subsumption_resolution,[],[f108020,f3407]) ).
thf(f108028,plain,
( ~ spl2_132
| ~ spl2_181
| ~ spl2_829 ),
inference(avatar_contradiction_clause,[],[f108027]) ).
thf(f108030,plain,
( $false
| ~ spl2_307
| ~ spl2_588
| ~ spl2_829 ),
inference(forward_subsumption_resolution,[],[f108024,f10721]) ).
thf(f108031,plain,
( ~ spl2_307
| ~ spl2_588
| ~ spl2_829 ),
inference(avatar_contradiction_clause,[],[f108030]) ).
thf(f108035,plain,
( ~ spl2_149
| ~ spl2_110
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f107813,f16019,f2964,f4018]) ).
thf(f108036,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_98
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f107817,f3384]) ).
thf(f108037,plain,
( ~ spl2_301
| ~ spl2_132
| ~ spl2_169
| ~ spl2_814 ),
inference(avatar_split_clause,[],[f107555,f104067,f5313,f3406,f10415]) ).
thf(f108038,plain,
( ~ spl2_149
| spl2_98
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f108036,f16019,f2724,f4018]) ).
thf(f108244,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_264 ),
inference(constrained_superposition,[],[f7905,f5314]) ).
thf(f108250,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f108244]) ).
thf(f108253,plain,
( $false
| ~ spl2_94
| ~ spl2_169
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f108250,f2532]) ).
thf(f108254,plain,
( ~ spl2_94
| ~ spl2_169
| ~ spl2_264 ),
inference(avatar_contradiction_clause,[],[f108253]) ).
thf(f108341,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_94
| ~ spl2_113 ),
inference(constrained_superposition,[],[f3067,f2532]) ).
thf(f108347,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_94
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f108341]) ).
thf(f108430,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_173
| ~ spl2_455 ),
inference(constrained_superposition,[],[f35954,f5328]) ).
thf(f108436,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f108430]) ).
thf(f108456,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_198
| ~ spl2_455 ),
inference(constrained_superposition,[],[f108436,f5718]) ).
thf(f108463,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_198
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f108456]) ).
thf(f108464,plain,
( $false
| ~ spl2_140
| ~ spl2_173
| ~ spl2_198
| ~ spl2_455 ),
inference(forward_subsumption_resolution,[],[f108463,f3615]) ).
thf(f108465,plain,
( ~ spl2_140
| ~ spl2_173
| ~ spl2_198
| ~ spl2_455 ),
inference(avatar_contradiction_clause,[],[f108464]) ).
thf(f108519,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f27,f7073]) ).
thf(f108520,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f108519]) ).
thf(f108709,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_355
| ~ spl2_390 ),
inference(constrained_superposition,[],[f23165,f18373]) ).
thf(f108722,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_355
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f108709]) ).
thf(f108723,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_355
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f108722,f3615]) ).
thf(f108724,plain,
( $false
| ~ spl2_140
| ~ spl2_244
| ~ spl2_355
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f108723,f6685]) ).
thf(f108725,plain,
( ~ spl2_140
| ~ spl2_244
| ~ spl2_355
| ~ spl2_390 ),
inference(avatar_contradiction_clause,[],[f108724]) ).
thf(f108731,plain,
( ~ spl2_149
| spl2_90
| ~ spl2_94
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f108347,f3066,f2531,f2338,f4018]) ).
thf(f108965,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f201,f5311]) ).
thf(f108983,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f56220,f5311]) ).
thf(f109002,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f108983]) ).
thf(f109004,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f108965]) ).
thf(f109008,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_168
| spl2_178 ),
inference(forward_subsumption_resolution,[],[f109004,f8375]) ).
thf(f109011,plain,
( spl2_179
| ~ spl2_176
| ~ spl2_168
| spl2_178 ),
inference(avatar_split_clause,[],[f109008,f5381,f5310,f5374,f5384]) ).
thf(f109012,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f58,f5718]) ).
thf(f109014,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f27,f5718]) ).
thf(f109015,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f109012]) ).
thf(f109017,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f109014]) ).
thf(f109052,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_182 ),
inference(constrained_superposition,[],[f5476,f76]) ).
thf(f109057,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_182 ),
inference(trivial_inequality_removal,[],[f109052]) ).
thf(f109117,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f201,f61125]) ).
thf(f109147,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f109117]) ).
thf(f109165,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_140
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f109147,f26276]) ).
thf(f109172,plain,
( spl2_179
| ~ spl2_176
| spl2_140
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f109165,f61124,f3614,f5374,f5384]) ).
thf(f109348,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f5385,f76]) ).
thf(f109359,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f109348]) ).
thf(f109544,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_196 ),
inference(constrained_superposition,[],[f5711,f51]) ).
thf(f109546,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_196 ),
inference(constrained_superposition,[],[f5711,f76]) ).
thf(f109550,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_196 ),
inference(constrained_superposition,[],[f5711,f1673]) ).
thf(f109555,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f109546]) ).
thf(f109556,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f109550]) ).
thf(f109558,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f109544]) ).
thf(f109738,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f2067,f187]) ).
thf(f109760,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f109738]) ).
thf(f109772,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| spl2_20
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f109760,f7197]) ).
thf(f109773,plain,
( spl2_240
| spl2_20
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f109772,f2066,f246,f6500]) ).
thf(f109902,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_417
| ~ spl2_805 ),
inference(constrained_superposition,[],[f100539,f31618]) ).
thf(f109905,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_417
| ~ spl2_805 ),
inference(trivial_inequality_removal,[],[f109902]) ).
thf(f109909,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_254
| ~ spl2_417
| ~ spl2_805 ),
inference(forward_subsumption_resolution,[],[f109905,f7069]) ).
thf(f109910,plain,
( $false
| ~ spl2_254
| ~ spl2_255
| ~ spl2_417
| ~ spl2_805 ),
inference(forward_subsumption_resolution,[],[f109909,f7073]) ).
thf(f109911,plain,
( ~ spl2_254
| ~ spl2_255
| ~ spl2_417
| ~ spl2_805 ),
inference(avatar_contradiction_clause,[],[f109910]) ).
thf(f109926,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f107689,f76]) ).
thf(f109928,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f107689,f187]) ).
thf(f109937,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f109928]) ).
thf(f109939,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f109926]) ).
thf(f109999,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_254
| ~ spl2_358 ),
inference(constrained_superposition,[],[f18682,f7069]) ).
thf(f110011,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_254
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f109999]) ).
thf(f110014,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_94
| ~ spl2_254
| ~ spl2_358 ),
inference(forward_subsumption_resolution,[],[f110011,f2532]) ).
thf(f110015,plain,
( $false
| ~ spl2_94
| ~ spl2_244
| ~ spl2_254
| ~ spl2_358 ),
inference(forward_subsumption_resolution,[],[f110014,f6685]) ).
thf(f110016,plain,
( ~ spl2_94
| ~ spl2_244
| ~ spl2_254
| ~ spl2_358 ),
inference(avatar_contradiction_clause,[],[f110015]) ).
thf(f110226,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_139
| ~ spl2_712 ),
inference(constrained_superposition,[],[f73799,f5793]) ).
thf(f110235,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_139
| ~ spl2_712 ),
inference(trivial_inequality_removal,[],[f110226]) ).
thf(f110238,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_139
| spl2_301
| ~ spl2_712 ),
inference(forward_subsumption_resolution,[],[f110235,f24914]) ).
thf(f110240,plain,
( spl2_226
| ~ spl2_139
| spl2_301
| ~ spl2_712 ),
inference(avatar_split_clause,[],[f110238,f73798,f10415,f3611,f5973]) ).
thf(f110241,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_202
| ~ spl2_244 ),
inference(constrained_superposition,[],[f107725,f6685]) ).
thf(f110242,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_70
| ~ spl2_202 ),
inference(constrained_superposition,[],[f107725,f1554]) ).
thf(f110246,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_70
| ~ spl2_202 ),
inference(duplicate_literal_removal,[],[f110242]) ).
thf(f110247,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_70
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f110246]) ).
thf(f110249,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_202
| ~ spl2_244 ),
inference(duplicate_literal_removal,[],[f110241]) ).
thf(f110250,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f110249]) ).
thf(f110253,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_70
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f110247,f41]) ).
thf(f110254,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_70
| ~ spl2_202
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f110253,f73780]) ).
thf(f110256,definition,
( spl2_832
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_832])],[avatar_definition]) ).
thf(f110257,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_832 ),
inference(avatar_component_clause,[],[f110256]) ).
thf(f110258,plain,
( spl2_192
| spl2_832
| ~ spl2_70
| ~ spl2_202
| spl2_278 ),
inference(avatar_split_clause,[],[f110254,f9002,f5731,f1553,f110256,f5522]) ).
thf(f110259,plain,
( spl2_832
| ~ spl2_202
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f110250,f6684,f5731,f110256]) ).
thf(f110278,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_249
| ~ spl2_535 ),
inference(constrained_superposition,[],[f52584,f6715]) ).
thf(f110284,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_249
| ~ spl2_535 ),
inference(trivial_inequality_removal,[],[f110278]) ).
thf(f110296,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_110
| ~ spl2_249
| ~ spl2_535 ),
inference(forward_subsumption_resolution,[],[f110284,f2965]) ).
thf(f110299,plain,
( spl2_238
| ~ spl2_110
| ~ spl2_249
| ~ spl2_535 ),
inference(avatar_split_clause,[],[f110296,f52583,f6714,f2964,f6487]) ).
thf(f110308,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_269
| ~ spl2_399 ),
inference(constrained_superposition,[],[f26223,f9492]) ).
thf(f110316,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_269
| ~ spl2_399 ),
inference(trivial_inequality_removal,[],[f110308]) ).
thf(f110326,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_31
| ~ spl2_269
| ~ spl2_399 ),
inference(forward_subsumption_resolution,[],[f110316,f2734]) ).
thf(f110330,plain,
( spl2_378
| ~ spl2_31
| ~ spl2_269
| ~ spl2_399 ),
inference(avatar_split_clause,[],[f110326,f26222,f8056,f379,f20687]) ).
thf(f110342,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f108520,f50]) ).
thf(f110346,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f110342]) ).
thf(f110569,definition,
( spl2_833
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_833])],[avatar_definition]) ).
thf(f110570,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_833 ),
inference(avatar_component_clause,[],[f110569]) ).
thf(f110577,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_246
| ~ spl2_833 ),
inference(constrained_superposition,[],[f110570,f6698]) ).
thf(f110590,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_246
| ~ spl2_833 ),
inference(trivial_inequality_removal,[],[f110577]) ).
thf(f110596,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_198
| ~ spl2_480 ),
inference(constrained_superposition,[],[f37186,f5718]) ).
thf(f110606,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_198
| ~ spl2_480 ),
inference(trivial_inequality_removal,[],[f110596]) ).
thf(f110718,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_442
| ~ spl2_588 ),
inference(constrained_superposition,[],[f107985,f33508]) ).
thf(f110720,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_442
| ~ spl2_588 ),
inference(duplicate_literal_removal,[],[f110718]) ).
thf(f110721,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_442
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f110720]) ).
thf(f110731,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_269
| ~ spl2_442
| ~ spl2_588 ),
inference(constrained_superposition,[],[f110721,f9492]) ).
thf(f110739,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_269
| ~ spl2_442
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f110731]) ).
thf(f110748,definition,
( spl2_834
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_834])],[avatar_definition]) ).
thf(f110749,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_834 ),
inference(avatar_component_clause,[],[f110748]) ).
thf(f110751,plain,
( spl2_834
| ~ spl2_269
| ~ spl2_442
| ~ spl2_588 ),
inference(avatar_split_clause,[],[f110739,f61120,f33507,f8056,f110748]) ).
thf(f110753,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_442
| ~ spl2_834 ),
inference(constrained_superposition,[],[f110749,f33508]) ).
thf(f110755,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_255
| ~ spl2_834 ),
inference(constrained_superposition,[],[f110749,f7073]) ).
thf(f110756,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_258
| ~ spl2_834 ),
inference(constrained_superposition,[],[f110749,f7258]) ).
thf(f110763,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_255
| ~ spl2_834 ),
inference(trivial_inequality_removal,[],[f110755]) ).
thf(f110766,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_442
| ~ spl2_834 ),
inference(trivial_inequality_removal,[],[f110753]) ).
thf(f110772,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_258
| ~ spl2_834 ),
inference(trivial_inequality_removal,[],[f110756]) ).
thf(f110774,plain,
( $false
| ~ spl2_132
| ~ spl2_255
| ~ spl2_834 ),
inference(forward_subsumption_resolution,[],[f110763,f3407]) ).
thf(f110775,plain,
( ~ spl2_132
| ~ spl2_255
| ~ spl2_834 ),
inference(avatar_contradiction_clause,[],[f110774]) ).
thf(f110776,plain,
( $false
| ~ spl2_249
| ~ spl2_442
| ~ spl2_834 ),
inference(forward_subsumption_resolution,[],[f110766,f6715]) ).
thf(f110777,plain,
( ~ spl2_249
| ~ spl2_442
| ~ spl2_834 ),
inference(avatar_contradiction_clause,[],[f110776]) ).
thf(f110778,plain,
( $false
| ~ spl2_258
| ~ spl2_308
| ~ spl2_834 ),
inference(forward_subsumption_resolution,[],[f110772,f10830]) ).
thf(f110779,plain,
( ~ spl2_258
| ~ spl2_308
| ~ spl2_834 ),
inference(avatar_contradiction_clause,[],[f110778]) ).
thf(f110780,plain,
( spl2_140
| ~ spl2_17
| spl2_197
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f109937,f3611,f5714,f219,f3614]) ).
thf(f110785,plain,
( spl2_381
| spl2_203
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f109015,f5717,f5734,f21780]) ).
thf(f110789,plain,
( spl2_254
| ~ spl2_4
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f109057,f5475,f89,f7068]) ).
thf(f110791,plain,
( spl2_140
| spl2_308
| spl2_278
| spl2_15
| spl2_83 ),
inference(avatar_split_clause,[],[f58488,f2307,f213,f9002,f10829,f3614]) ).
thf(f110792,plain,
( spl2_254
| ~ spl2_25
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f109359,f5384,f281,f7068]) ).
thf(f110797,plain,
( spl2_208
| ~ spl2_324
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f109556,f5710,f12576,f5752]) ).
thf(f110800,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_94
| ~ spl2_246
| ~ spl2_833 ),
inference(forward_subsumption_resolution,[],[f110590,f2532]) ).
thf(f110803,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f109002,f41]) ).
thf(f110807,plain,
( spl2_249
| ~ spl2_231
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f109558,f5710,f5993,f6714]) ).
thf(f110809,plain,
( ~ spl2_4
| spl2_229
| spl2_244
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f109939,f3611,f6684,f5984,f89]) ).
thf(f110820,plain,
( ~ spl2_40
| ~ spl2_94
| ~ spl2_246
| ~ spl2_833 ),
inference(avatar_split_clause,[],[f110800,f110569,f6697,f2531,f512]) ).
thf(f110822,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_168
| spl2_181 ),
inference(forward_subsumption_resolution,[],[f110803,f5429]) ).
thf(f110825,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_168
| spl2_181 ),
inference(forward_subsumption_resolution,[],[f110822,f41]) ).
thf(f110826,plain,
( spl2_132
| spl2_96
| ~ spl2_168
| spl2_181 ),
inference(avatar_split_clause,[],[f110825,f5428,f5310,f2538,f3406]) ).
thf(f110924,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_278
| ~ spl2_393 ),
inference(constrained_superposition,[],[f24911,f9003]) ).
thf(f110927,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f27,f9003]) ).
thf(f110929,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f110924]) ).
thf(f110933,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f110927]) ).
thf(f110957,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_211 ),
inference(constrained_superposition,[],[f27,f5764]) ).
thf(f110958,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f110957]) ).
thf(f111014,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_353 ),
inference(constrained_superposition,[],[f17772,f50]) ).
thf(f111017,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_92
| ~ spl2_353 ),
inference(constrained_superposition,[],[f17772,f2449]) ).
thf(f111021,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f111014]) ).
thf(f111023,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_92
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f111017]) ).
thf(f111027,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_40
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f111021,f2064]) ).
thf(f111028,plain,
( $false
| ~ spl2_29
| ~ spl2_92
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f111023,f351]) ).
thf(f111029,plain,
( ~ spl2_29
| ~ spl2_92
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f111028]) ).
thf(f111030,plain,
( $false
| ~ spl2_40
| spl2_98
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f111027,f3384]) ).
thf(f111031,plain,
( ~ spl2_40
| spl2_98
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f111030]) ).
thf(f111033,definition,
( spl2_835
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_835])],[avatar_definition]) ).
thf(f111034,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_835 ),
inference(avatar_component_clause,[],[f111033]) ).
thf(f111035,plain,
( spl2_835
| spl2_191
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f110346,f7072,f5519,f111033]) ).
thf(f111038,plain,
( ~ spl2_20
| ~ spl2_178
| ~ spl2_198
| ~ spl2_480 ),
inference(avatar_split_clause,[],[f110606,f37185,f5717,f5381,f246]) ).
thf(f111039,plain,
( ~ spl2_335
| spl2_246
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f109555,f5710,f6697,f13845]) ).
thf(f111082,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f27,f2734]) ).
thf(f111083,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f111082]) ).
thf(f111125,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f27,f5732]) ).
thf(f111127,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f111125]) ).
thf(f111241,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_169
| ~ spl2_265 ),
inference(constrained_superposition,[],[f7955,f5314]) ).
thf(f111246,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_169
| ~ spl2_255 ),
inference(constrained_superposition,[],[f108520,f5314]) ).
thf(f111251,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_169
| ~ spl2_255 ),
inference(duplicate_literal_removal,[],[f111246]) ).
thf(f111252,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f111251]) ).
thf(f111253,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_169
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f111241]) ).
thf(f111257,plain,
( spl2_363
| ~ spl2_169
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f111252,f7072,f5313,f19269]) ).
thf(f111258,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_169
| ~ spl2_254
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f111253,f7069]) ).
thf(f111259,plain,
( spl2_268
| ~ spl2_169
| ~ spl2_254
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f111258,f7954,f7068,f5313,f8053]) ).
thf(f111296,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_301 ),
inference(constrained_superposition,[],[f27,f10416]) ).
thf(f111300,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f111296]) ).
thf(f111307,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_215
| ~ spl2_301 ),
inference(constrained_superposition,[],[f5809,f10416]) ).
thf(f111315,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_215
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f111307]) ).
thf(f111354,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_208 ),
inference(constrained_superposition,[],[f27,f5753]) ).
thf(f111358,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f111354]) ).
thf(f111415,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f2250,f61129]) ).
thf(f111445,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f111415]) ).
thf(f111459,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_255
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f111445,f85174]) ).
thf(f111462,plain,
( spl2_207
| ~ spl2_209
| spl2_255
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f111459,f61128,f7072,f5755,f5749]) ).
thf(f111487,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f87,f5321]) ).
thf(f111520,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f111487]) ).
thf(f111820,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_371 ),
inference(constrained_superposition,[],[f27,f20310]) ).
thf(f111824,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f111820]) ).
thf(f112023,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_278
| ~ spl2_371 ),
inference(constrained_superposition,[],[f110933,f20310]) ).
thf(f112025,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_202
| ~ spl2_278 ),
inference(constrained_superposition,[],[f110933,f5732]) ).
thf(f112030,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_202
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f112025]) ).
thf(f112031,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_278
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f112023]) ).
thf(f112129,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_355
| ~ spl2_412 ),
inference(constrained_superposition,[],[f27121,f18373]) ).
thf(f112130,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_355
| ~ spl2_806 ),
inference(constrained_superposition,[],[f100812,f18373]) ).
thf(f112141,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_355
| ~ spl2_806 ),
inference(trivial_inequality_removal,[],[f112130]) ).
thf(f112146,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_355
| ~ spl2_412 ),
inference(trivial_inequality_removal,[],[f112129]) ).
thf(f112193,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_303
| ~ spl2_355 ),
inference(constrained_superposition,[],[f10514,f18373]) ).
thf(f112198,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_303
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f112193]) ).
thf(f112205,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_208
| ~ spl2_274 ),
inference(constrained_superposition,[],[f8294,f5753]) ).
thf(f112214,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_208
| ~ spl2_274 ),
inference(duplicate_literal_removal,[],[f112205]) ).
thf(f112215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_208
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f112214]) ).
thf(f112217,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_202
| ~ spl2_355 ),
inference(constrained_superposition,[],[f111127,f18373]) ).
thf(f112223,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_202
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f112217]) ).
thf(f112230,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_399
| ~ spl2_442 ),
inference(constrained_superposition,[],[f26223,f33508]) ).
thf(f112236,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_399
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f112230]) ).
thf(f112240,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_198
| ~ spl2_399
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f112236,f5718]) ).
thf(f112244,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_399
| ~ spl2_442 ),
inference(constrained_superposition,[],[f112240,f33508]) ).
thf(f112248,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_399
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f112244]) ).
thf(f112273,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f109017,f50]) ).
thf(f112277,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f112273]) ).
thf(f112296,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_278
| ~ spl2_301 ),
inference(constrained_superposition,[],[f111300,f9003]) ).
thf(f112303,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_278
| ~ spl2_301 ),
inference(trivial_inequality_removal,[],[f112296]) ).
thf(f112307,definition,
( spl2_838
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_838])],[avatar_definition]) ).
thf(f112308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_838 ),
inference(avatar_component_clause,[],[f112307]) ).
thf(f112310,plain,
( spl2_838
| ~ spl2_278
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f112303,f10415,f9002,f112307]) ).
thf(f112312,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_355
| ~ spl2_838 ),
inference(constrained_superposition,[],[f112308,f18373]) ).
thf(f112317,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_355
| ~ spl2_838 ),
inference(trivial_inequality_removal,[],[f112312]) ).
thf(f112334,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_202
| ~ spl2_355 ),
inference(constrained_superposition,[],[f112223,f50]) ).
thf(f112337,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_202
| ~ spl2_355 ),
inference(constrained_superposition,[],[f112223,f18373]) ).
thf(f112342,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f112334]) ).
thf(f112343,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_355 ),
inference(duplicate_literal_removal,[],[f112337]) ).
thf(f112344,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f112343]) ).
thf(f112350,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_244
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f112344,f6685]) ).
thf(f112352,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_202
| ~ spl2_244
| ~ spl2_355 ),
inference(constrained_superposition,[],[f112350,f50]) ).
thf(f112353,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_244
| ~ spl2_355
| ~ spl2_588 ),
inference(constrained_superposition,[],[f112350,f61121]) ).
thf(f112363,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_202
| ~ spl2_244
| ~ spl2_355
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f112353]) ).
thf(f112364,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_202
| ~ spl2_244
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f112352]) ).
thf(f112369,plain,
( $false
| ~ spl2_173
| ~ spl2_202
| ~ spl2_244
| ~ spl2_355
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f112363,f5328]) ).
thf(f112370,plain,
( ~ spl2_173
| ~ spl2_202
| ~ spl2_244
| ~ spl2_355
| ~ spl2_588 ),
inference(avatar_contradiction_clause,[],[f112369]) ).
thf(f112371,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_202
| ~ spl2_244
| ~ spl2_278
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f112364,f9003]) ).
thf(f112372,plain,
( $false
| spl2_191
| ~ spl2_202
| ~ spl2_244
| ~ spl2_278
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f112371,f6694]) ).
thf(f112373,plain,
( spl2_191
| ~ spl2_202
| ~ spl2_244
| ~ spl2_278
| ~ spl2_355 ),
inference(avatar_contradiction_clause,[],[f112372]) ).
thf(f112376,definition,
( spl2_839
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_839])],[avatar_definition]) ).
thf(f112377,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_839 ),
inference(avatar_component_clause,[],[f112376]) ).
thf(f112378,plain,
( spl2_191
| spl2_839
| ~ spl2_40
| ~ spl2_202
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f112342,f18372,f5731,f512,f112376,f5519]) ).
thf(f112379,plain,
( spl2_794
| ~ spl2_202
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f112030,f9002,f5731,f96712]) ).
thf(f112380,plain,
( spl2_394
| ~ spl2_132
| ~ spl2_278
| ~ spl2_393 ),
inference(avatar_split_clause,[],[f110929,f24910,f9002,f3406,f24944]) ).
thf(f112381,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_198
| ~ spl2_371
| ~ spl2_399
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f112248,f20310]) ).
thf(f112390,plain,
( ~ spl2_169
| ~ spl2_180
| ~ spl2_355
| ~ spl2_412 ),
inference(avatar_split_clause,[],[f112146,f27120,f18372,f5425,f5313]) ).
thf(f112401,plain,
( ~ spl2_132
| ~ spl2_215
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f111315,f10415,f5808,f3406]) ).
thf(f112405,plain,
( ~ spl2_258
| ~ spl2_198
| ~ spl2_371
| ~ spl2_399
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f112381,f33507,f26222,f20309,f5717,f7257]) ).
thf(f112413,plain,
( spl2_372
| ~ spl2_188
| ~ spl2_303
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f112198,f18372,f10513,f5498,f20387]) ).
thf(f112419,plain,
( spl2_246
| ~ spl2_141
| spl2_229
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f111520,f5320,f5984,f3617,f6697]) ).
thf(f112424,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_198
| spl2_203 ),
inference(forward_subsumption_resolution,[],[f112277,f5735]) ).
thf(f112428,plain,
( spl2_35
| ~ spl2_198
| spl2_203 ),
inference(avatar_split_clause,[],[f112424,f5734,f5717,f415]) ).
thf(f112445,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_94
| ~ spl2_835 ),
inference(constrained_superposition,[],[f111034,f2532]) ).
thf(f112458,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_94
| ~ spl2_835 ),
inference(trivial_inequality_removal,[],[f112445]) ).
thf(f112460,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_40
| ~ spl2_94
| ~ spl2_835 ),
inference(forward_subsumption_resolution,[],[f112458,f2064]) ).
thf(f112461,plain,
( spl2_126
| ~ spl2_40
| ~ spl2_94
| ~ spl2_835 ),
inference(avatar_split_clause,[],[f112460,f111033,f2531,f512,f3370]) ).
thf(f112489,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_204
| ~ spl2_290 ),
inference(constrained_superposition,[],[f9889,f5739]) ).
thf(f112492,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_204
| ~ spl2_278 ),
inference(constrained_superposition,[],[f110933,f5739]) ).
thf(f112496,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_204
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f112489]) ).
thf(f112498,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_204
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f112492]) ).
thf(f112501,plain,
( spl2_405
| ~ spl2_204
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f112496,f9888,f5738,f26279]) ).
thf(f112502,plain,
( spl2_35
| ~ spl2_204
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f112498,f9002,f5738,f415]) ).
thf(f112574,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_835 ),
inference(constrained_superposition,[],[f111034,f5314]) ).
thf(f112581,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_282 ),
inference(constrained_superposition,[],[f9405,f5314]) ).
thf(f112591,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_169
| ~ spl2_835 ),
inference(trivial_inequality_removal,[],[f112574]) ).
thf(f112594,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_282 ),
inference(duplicate_literal_removal,[],[f112581]) ).
thf(f112595,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_169
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f112594]) ).
thf(f112623,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371 ),
inference(constrained_superposition,[],[f112031,f7073]) ).
thf(f112633,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f112623]) ).
thf(f112638,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_110
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f112633,f2965]) ).
thf(f112639,plain,
( spl2_445
| ~ spl2_110
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f112638,f20309,f9002,f7072,f2964,f33831]) ).
thf(f112962,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f341,f61118]) ).
thf(f112964,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f176,f61118]) ).
thf(f112998,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f112964]) ).
thf(f113001,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f112962]) ).
thf(f113147,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_371
| ~ spl2_378 ),
inference(constrained_superposition,[],[f20688,f20310]) ).
thf(f113149,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_202
| ~ spl2_378 ),
inference(constrained_superposition,[],[f20688,f5732]) ).
thf(f113152,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_371
| ~ spl2_378 ),
inference(trivial_inequality_removal,[],[f113147]) ).
thf(f113157,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_202
| ~ spl2_378 ),
inference(trivial_inequality_removal,[],[f113149]) ).
thf(f113226,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_202
| ~ spl2_312 ),
inference(constrained_superposition,[],[f11318,f5732]) ).
thf(f113230,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_202
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f113226]) ).
thf(f113238,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_839 ),
inference(constrained_superposition,[],[f112377,f5314]) ).
thf(f113244,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_169
| ~ spl2_839 ),
inference(trivial_inequality_removal,[],[f113238]) ).
thf(f113247,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110
| ~ spl2_169
| ~ spl2_839 ),
inference(forward_subsumption_resolution,[],[f113244,f2965]) ).
thf(f113250,plain,
( ~ spl2_269
| spl2_811
| ~ spl2_355
| ~ spl2_838 ),
inference(avatar_split_clause,[],[f112317,f112307,f18372,f101070,f8056]) ).
thf(f113252,plain,
( spl2_268
| ~ spl2_269
| ~ spl2_355
| ~ spl2_806 ),
inference(avatar_split_clause,[],[f112141,f100811,f18372,f8056,f8053]) ).
thf(f113253,plain,
( ~ spl2_234
| ~ spl2_110
| ~ spl2_169
| ~ spl2_839 ),
inference(avatar_split_clause,[],[f113247,f112376,f5313,f2964,f6393]) ).
thf(f113255,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_94
| ~ spl2_202
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f113230,f2532]) ).
thf(f113256,plain,
( ~ spl2_269
| ~ spl2_258
| ~ spl2_371
| ~ spl2_378 ),
inference(avatar_split_clause,[],[f113152,f20687,f20309,f7257,f8056]) ).
thf(f113257,plain,
( spl2_601
| ~ spl2_176
| spl2_194
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f113001,f61117,f5704,f5374,f61833]) ).
thf(f113259,plain,
( ~ spl2_181
| spl2_445
| ~ spl2_169
| ~ spl2_835 ),
inference(avatar_split_clause,[],[f112591,f111033,f5313,f33831,f5428]) ).
thf(f113260,plain,
( spl2_601
| spl2_206
| ~ spl2_247
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f112998,f61117,f6703,f5745,f61833]) ).
thf(f113262,plain,
( ~ spl2_29
| ~ spl2_94
| ~ spl2_202
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f113255,f11317,f5731,f2531,f350]) ).
thf(f113562,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_290
| ~ spl2_556 ),
inference(constrained_superposition,[],[f9889,f58086]) ).
thf(f113593,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_290
| ~ spl2_556 ),
inference(duplicate_literal_removal,[],[f113562]) ).
thf(f113594,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_290
| ~ spl2_556 ),
inference(trivial_inequality_removal,[],[f113593]) ).
thf(f113597,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_290
| spl2_308
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f113594,f10904]) ).
thf(f113599,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_290
| spl2_308
| ~ spl2_556 ),
inference(forward_subsumption_resolution,[],[f113597,f41]) ).
thf(f113601,plain,
( spl2_102
| ~ spl2_290
| spl2_308
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f113599,f58085,f10829,f9888,f2748]) ).
thf(f113788,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_115
| ~ spl2_169 ),
inference(constrained_superposition,[],[f3075,f5314]) ).
thf(f113795,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_115
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f113788]) ).
thf(f113968,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_202
| ~ spl2_339 ),
inference(constrained_superposition,[],[f13998,f5732]) ).
thf(f113972,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_202
| ~ spl2_339 ),
inference(trivial_inequality_removal,[],[f113968]) ).
thf(f113981,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_208
| ~ spl2_369 ),
inference(constrained_superposition,[],[f20215,f5753]) ).
thf(f113994,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_208
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f113981]) ).
thf(f114031,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_442
| ~ spl2_740 ),
inference(constrained_superposition,[],[f74895,f33508]) ).
thf(f114040,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_442
| ~ spl2_740 ),
inference(trivial_inequality_removal,[],[f114031]) ).
thf(f114049,definition,
( spl2_843
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_843])],[avatar_definition]) ).
thf(f114050,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_843 ),
inference(avatar_component_clause,[],[f114049]) ).
thf(f114051,plain,
( ~ spl2_170
| spl2_843
| ~ spl2_442
| ~ spl2_740 ),
inference(avatar_split_clause,[],[f114040,f74894,f33507,f114049,f5317]) ).
thf(f114057,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_442
| ~ spl2_516 ),
inference(constrained_superposition,[],[f44957,f33508]) ).
thf(f114061,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_442
| ~ spl2_516 ),
inference(trivial_inequality_removal,[],[f114057]) ).
thf(f114066,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_269
| ~ spl2_442
| ~ spl2_516 ),
inference(forward_subsumption_resolution,[],[f114061,f9492]) ).
thf(f114068,plain,
( spl2_705
| ~ spl2_269
| ~ spl2_442
| ~ spl2_516 ),
inference(avatar_split_clause,[],[f114066,f44956,f33507,f8056,f72950]) ).
thf(f114276,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_208 ),
inference(constrained_superposition,[],[f111358,f50]) ).
thf(f114284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f114276]) ).
thf(f114341,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_355
| ~ spl2_371 ),
inference(constrained_superposition,[],[f111824,f18373]) ).
thf(f114345,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_355
| ~ spl2_371 ),
inference(duplicate_literal_removal,[],[f114341]) ).
thf(f114346,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_355
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f114345]) ).
thf(f114349,plain,
( spl2_455
| ~ spl2_355
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f114346,f20309,f18372,f35953]) ).
thf(f114351,definition,
( spl2_845
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_845])],[avatar_definition]) ).
thf(f114352,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_845 ),
inference(avatar_component_clause,[],[f114351]) ).
thf(f114358,plain,
( ~ spl2_149
| spl2_820
| ~ spl2_202
| ~ spl2_339 ),
inference(avatar_split_clause,[],[f113972,f13997,f5731,f104847,f4018]) ).
thf(f114360,plain,
( ~ spl2_149
| ~ spl2_20
| ~ spl2_202
| ~ spl2_378 ),
inference(avatar_split_clause,[],[f113157,f20687,f5731,f246,f4018]) ).
thf(f114364,plain,
( spl2_754
| ~ spl2_94
| ~ spl2_208
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f113994,f20214,f5752,f2531,f80768]) ).
thf(f114365,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_203
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f114284,f5735]) ).
thf(f114369,plain,
( spl2_835
| spl2_203
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f114365,f5752,f5734,f111033]) ).
thf(f114372,plain,
( spl2_237
| ~ spl2_232
| ~ spl2_208
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f112215,f8293,f5752,f6288,f6483]) ).
thf(f114374,plain,
( ~ spl2_258
| spl2_270
| ~ spl2_115
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f113795,f5313,f3074,f8084,f7257]) ).
thf(f114414,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f58443,f61055]) ).
thf(f114415,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f58443,f61055]) ).
thf(f114416,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f58029,f61055]) ).
thf(f114417,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f58029,f61055]) ).
thf(f114418,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f1445,f61055]) ).
thf(f114419,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f1445,f61055]) ).
thf(f114421,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f83,f61055]) ).
thf(f114424,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f185,f61055]) ).
thf(f114425,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f185,f61055]) ).
thf(f114428,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f78,f61055]) ).
thf(f114429,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_93 ),
inference(extensionality_resolution,[],[f78,f61055]) ).
thf(f114434,plain,
( spl2_588
| spl2_587
| spl2_93 ),
inference(avatar_split_clause,[],[f114425,f2451,f61117,f61120]) ).
thf(f114436,plain,
( spl2_371
| spl2_590
| spl2_93 ),
inference(avatar_split_clause,[],[f114429,f2451,f61128,f20309]) ).
thf(f114439,plain,
( spl2_589
| spl2_355
| spl2_93 ),
inference(avatar_split_clause,[],[f114428,f2451,f18372,f61124]) ).
thf(f114440,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_93
| spl2_234 ),
inference(forward_subsumption_resolution,[],[f114416,f72809]) ).
thf(f114442,plain,
( spl2_442
| spl2_586
| spl2_93 ),
inference(avatar_split_clause,[],[f114424,f2451,f61113,f33507]) ).
thf(f114446,plain,
( ~ spl2_128
| spl2_278
| spl2_130
| spl2_93
| spl2_234 ),
inference(avatar_split_clause,[],[f114440,f6393,f2451,f3395,f9002,f3386]) ).
thf(f114542,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_244
| ~ spl2_393 ),
inference(constrained_superposition,[],[f24911,f6685]) ).
thf(f114553,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_244
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f114542]) ).
thf(f114555,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94
| ~ spl2_244
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f114553,f2532]) ).
thf(f114556,plain,
( spl2_412
| ~ spl2_94
| ~ spl2_244
| ~ spl2_393 ),
inference(avatar_split_clause,[],[f114555,f24910,f6684,f2531,f27120]) ).
thf(f114588,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_130 ),
inference(constrained_superposition,[],[f3396,f76]) ).
thf(f114599,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f114588]) ).
thf(f114626,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_206 ),
inference(constrained_superposition,[],[f58,f5746]) ).
thf(f114632,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f114626]) ).
thf(f114677,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_226 ),
inference(constrained_superposition,[],[f5974,f76]) ).
thf(f114684,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f114677]) ).
thf(f114820,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_170
| ~ spl2_369 ),
inference(constrained_superposition,[],[f20215,f5318]) ).
thf(f114822,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_170
| ~ spl2_211 ),
inference(constrained_superposition,[],[f110958,f5318]) ).
thf(f114834,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_170
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f114822]) ).
thf(f114838,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_170
| ~ spl2_369 ),
inference(duplicate_literal_removal,[],[f114820]) ).
thf(f114839,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_369 ),
inference(trivial_inequality_removal,[],[f114838]) ).
thf(f114846,plain,
( spl2_213
| ~ spl2_170
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f114834,f5763,f5317,f5798]) ).
thf(f114867,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f2250,f61114]) ).
thf(f114869,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f201,f61114]) ).
thf(f114871,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f87,f61114]) ).
thf(f114872,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f176,f61114]) ).
thf(f114873,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f60,f61114]) ).
thf(f114875,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f83,f61114]) ).
thf(f114876,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f1409,f61114]) ).
thf(f114878,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f1448,f61114]) ).
thf(f114880,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f58443,f61114]) ).
thf(f114888,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f56266,f61114]) ).
thf(f114891,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f114875]) ).
thf(f114893,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f114873]) ).
thf(f114894,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f114888]) ).
thf(f114899,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f114867]) ).
thf(f114901,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f114869]) ).
thf(f114902,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f114880]) ).
thf(f114903,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f114872]) ).
thf(f114904,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f114871]) ).
thf(f114908,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f114878]) ).
thf(f114909,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f114876]) ).
thf(f114915,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f2250,f61118]) ).
thf(f114916,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f55512,f61118]) ).
thf(f114919,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f87,f61118]) ).
thf(f114920,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f176,f61118]) ).
thf(f114921,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f60,f61118]) ).
thf(f114924,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f1409,f61118]) ).
thf(f114938,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f114924]) ).
thf(f114945,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f114919]) ).
thf(f114946,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f114916]) ).
thf(f114948,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f114921]) ).
thf(f114957,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f114920]) ).
thf(f114958,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f114915]) ).
thf(f115129,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_244
| ~ spl2_455 ),
inference(constrained_superposition,[],[f35954,f6685]) ).
thf(f115133,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_244
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f115129]) ).
thf(f115137,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| ~ spl2_244
| ~ spl2_455 ),
inference(constrained_superposition,[],[f115133,f5328]) ).
thf(f115144,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| ~ spl2_244
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f115137]) ).
thf(f115147,plain,
( $false
| ~ spl2_173
| ~ spl2_206
| ~ spl2_244
| ~ spl2_455 ),
inference(forward_subsumption_resolution,[],[f115144,f5746]) ).
thf(f115148,plain,
( ~ spl2_173
| ~ spl2_206
| ~ spl2_244
| ~ spl2_455 ),
inference(avatar_contradiction_clause,[],[f115147]) ).
thf(f115150,plain,
( ~ spl2_132
| spl2_829
| ~ spl2_169
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f112595,f9404,f5313,f107615,f3406]) ).
thf(f115151,plain,
( spl2_304
| spl2_255
| ~ spl2_305
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f114899,f61113,f10699,f7072,f10696]) ).
thf(f115152,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_249
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f114948,f7326]) ).
thf(f115154,plain,
( spl2_4
| spl2_827
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f114632,f5745,f106680,f89]) ).
thf(f115155,plain,
( spl2_246
| ~ spl2_247
| spl2_189
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f114945,f61117,f5502,f6703,f6697]) ).
thf(f115156,plain,
( spl2_217
| spl2_258
| ~ spl2_205
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f114901,f61113,f5741,f7257,f5858]) ).
thf(f115158,plain,
( spl2_244
| ~ spl2_4
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f114684,f5973,f89,f6684]) ).
thf(f115160,plain,
( ~ spl2_244
| spl2_364
| ~ spl2_170
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f114839,f20214,f5317,f19408,f6684]) ).
thf(f115163,plain,
( spl2_94
| ~ spl2_4
| ~ spl2_130 ),
inference(avatar_split_clause,[],[f114599,f3395,f89,f2531]) ).
thf(f115165,plain,
( spl2_181
| spl2_627
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f114909,f61113,f63699,f5428]) ).
thf(f115168,plain,
( ~ spl2_191
| spl2_182
| spl2_249
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f115152,f61117,f6714,f5475,f5519]) ).
thf(f115190,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_115
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3075,f3407]) ).
thf(f115194,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f58,f3407]) ).
thf(f115195,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f27,f3407]) ).
thf(f115196,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f115195]) ).
thf(f115197,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_132 ),
inference(duplicate_literal_removal,[],[f115194]) ).
thf(f115198,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f115197]) ).
thf(f115204,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_115
| ~ spl2_132 ),
inference(duplicate_literal_removal,[],[f115190]) ).
thf(f115205,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_115
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f115204]) ).
thf(f115209,plain,
( spl2_254
| spl2_221
| ~ spl2_201
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f114904,f61113,f5728,f5873,f7068]) ).
thf(f115210,plain,
( spl2_601
| spl2_206
| ~ spl2_247
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f114957,f61117,f6703,f5745,f61833]) ).
thf(f115211,plain,
( spl2_601
| spl2_180
| ~ spl2_201
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f114903,f61113,f5728,f5425,f61833]) ).
thf(f115246,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f27,f4019]) ).
thf(f115247,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f115246]) ).
thf(f115265,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_31
| ~ spl2_92 ),
inference(constrained_superposition,[],[f111083,f2449]) ).
thf(f115270,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_31
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f115265]) ).
thf(f115273,plain,
( spl2_101
| ~ spl2_31
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f115270,f2448,f379,f2742]) ).
thf(f115285,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_156
| ~ spl2_191 ),
inference(constrained_superposition,[],[f4054,f5520]) ).
thf(f115308,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_156
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f115285]) ).
thf(f115315,plain,
( spl2_182
| spl2_180
| ~ spl2_156
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f115308,f5519,f4053,f5425,f5475]) ).
thf(f115330,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f58,f5739]) ).
thf(f115337,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f115330]) ).
thf(f115463,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_182
| ~ spl2_586 ),
inference(constrained_superposition,[],[f5476,f61114]) ).
thf(f115469,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_182
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f115463]) ).
thf(f115513,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_532 ),
inference(constrained_superposition,[],[f51838,f50]) ).
thf(f115526,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_532 ),
inference(trivial_inequality_removal,[],[f115513]) ).
thf(f115673,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_371
| ~ spl2_820 ),
inference(constrained_superposition,[],[f104848,f20310]) ).
thf(f115682,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_371
| ~ spl2_820 ),
inference(trivial_inequality_removal,[],[f115673]) ).
thf(f115687,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_169
| ~ spl2_371
| ~ spl2_820 ),
inference(forward_subsumption_resolution,[],[f115682,f5314]) ).
thf(f115691,plain,
( $false
| ~ spl2_169
| ~ spl2_180
| ~ spl2_371
| ~ spl2_820 ),
inference(forward_subsumption_resolution,[],[f115687,f5477]) ).
thf(f115692,plain,
( ~ spl2_169
| ~ spl2_180
| ~ spl2_371
| ~ spl2_820 ),
inference(avatar_contradiction_clause,[],[f115691]) ).
thf(f115807,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_29
| ~ spl2_149 ),
inference(constrained_superposition,[],[f115247,f351]) ).
thf(f115812,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f115807]) ).
thf(f115817,plain,
( spl2_35
| ~ spl2_29
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f115812,f4018,f350,f415]) ).
thf(f115820,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_204 ),
inference(constrained_superposition,[],[f416,f5739]) ).
thf(f115822,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_29
| ~ spl2_35 ),
inference(constrained_superposition,[],[f416,f351]) ).
thf(f115829,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f115822]) ).
thf(f115832,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f115820]) ).
thf(f115835,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_204
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f115832,f11450]) ).
thf(f115863,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f58,f7073]) ).
thf(f115869,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f115863]) ).
thf(f115975,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_35
| ~ spl2_173
| ~ spl2_204
| ~ spl2_250 ),
inference(constrained_superposition,[],[f115835,f5328]) ).
thf(f115976,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_35
| ~ spl2_204
| ~ spl2_250
| ~ spl2_355 ),
inference(constrained_superposition,[],[f115835,f18373]) ).
thf(f115979,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_35
| ~ spl2_173
| ~ spl2_204
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f115975]) ).
thf(f115980,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_35
| ~ spl2_204
| ~ spl2_250
| ~ spl2_355 ),
inference(trivial_inequality_removal,[],[f115976]) ).
thf(f115987,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| spl2_269
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f114908,f8057]) ).
thf(f115988,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| spl2_269
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f114902,f8057]) ).
thf(f115991,plain,
( ~ spl2_168
| spl2_601
| spl2_307
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f114946,f61117,f10720,f61833,f5310]) ).
thf(f115992,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_269
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f114893,f8057]) ).
thf(f115993,plain,
( spl2_191
| spl2_256
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f115869,f7072,f7106,f5519]) ).
thf(f115994,plain,
( ~ spl2_168
| spl2_208
| spl2_177
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f114958,f61117,f5377,f5752,f5310]) ).
thf(f116002,plain,
( spl2_629
| ~ spl2_203
| ~ spl2_191
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f114891,f61113,f5519,f5734,f63710]) ).
thf(f116003,plain,
( spl2_823
| spl2_211
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f114938,f61117,f5763,f106595]) ).
thf(f116006,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_35
| ~ spl2_188
| ~ spl2_204
| ~ spl2_250
| ~ spl2_355 ),
inference(forward_subsumption_resolution,[],[f115980,f5499]) ).
thf(f116007,plain,
( ~ spl2_203
| ~ spl2_182
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f115469,f61113,f5475,f5734]) ).
thf(f116015,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_35
| ~ spl2_173
| ~ spl2_194
| ~ spl2_204
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f115979,f5705]) ).
thf(f116018,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f114894,f41]) ).
thf(f116020,plain,
( spl2_181
| ~ spl2_220
| ~ spl2_203
| spl2_269
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f115987,f61113,f8056,f5734,f5869,f5428]) ).
thf(f116021,plain,
( ~ spl2_203
| spl2_629
| spl2_269
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f115988,f61113,f8056,f63710,f5734]) ).
thf(f116023,plain,
( ~ spl2_203
| spl2_216
| spl2_269
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f115992,f61113,f8056,f5854,f5734]) ).
thf(f116025,plain,
( ~ spl2_181
| ~ spl2_35
| ~ spl2_188
| ~ spl2_204
| ~ spl2_250
| ~ spl2_355 ),
inference(avatar_split_clause,[],[f116006,f18372,f6719,f5738,f5498,f415,f5428]) ).
thf(f116029,plain,
( ~ spl2_211
| ~ spl2_35
| ~ spl2_173
| ~ spl2_194
| ~ spl2_204
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f116015,f6719,f5738,f5704,f5327,f415,f5763]) ).
thf(f116030,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f116018,f41]) ).
thf(f116033,plain,
( spl2_181
| spl2_257
| spl2_211
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f116030,f61113,f5763,f7157,f5428]) ).
thf(f116036,definition,
( spl2_847
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_847])],[avatar_definition]) ).
thf(f116037,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_847 ),
inference(avatar_component_clause,[],[f116036]) ).
thf(f116039,plain,
( spl2_677
| spl2_234
| spl2_250
| spl2_93 ),
inference(avatar_split_clause,[],[f114419,f2451,f6719,f6393,f66197]) ).
thf(f116041,plain,
( spl2_191
| ~ spl2_149
| ~ spl2_532 ),
inference(avatar_split_clause,[],[f115526,f51837,f4018,f5519]) ).
thf(f116042,plain,
( spl2_521
| spl2_17
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f115337,f5738,f219,f45556]) ).
thf(f116044,plain,
( spl2_30
| ~ spl2_31
| ~ spl2_115
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f115205,f3406,f3074,f379,f376]) ).
thf(f116049,plain,
( ~ spl2_40
| spl2_152
| ~ spl2_29
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f115829,f415,f350,f4031,f512]) ).
thf(f116066,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17
| ~ spl2_156 ),
inference(constrained_superposition,[],[f4054,f385]) ).
thf(f116069,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X1 ) ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1837,f385]) ).
thf(f116075,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f1504,f385]) ).
thf(f116077,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X1 )
= $true ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f116075]) ).
thf(f116082,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f116069]) ).
thf(f116083,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_17
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f116066]) ).
thf(f116088,plain,
( spl2_106
| spl2_105
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f116077,f219,f2759,f2800]) ).
thf(f116089,plain,
( spl2_107
| spl2_106
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f116082,f219,f2800,f2805]) ).
thf(f116090,plain,
( spl2_15
| spl2_20
| ~ spl2_17
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f116083,f4053,f219,f246,f213]) ).
thf(f116112,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_139
| ~ spl2_156 ),
inference(constrained_superposition,[],[f4054,f5793]) ).
thf(f116115,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X1 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f1837,f5793]) ).
thf(f116126,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f116115]) ).
thf(f116133,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_139
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f116112]) ).
thf(f116136,plain,
( spl2_245
| spl2_227
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f116126,f3611,f5977,f6688]) ).
thf(f116138,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_139
| ~ spl2_156
| spl2_202 ),
inference(forward_subsumption_resolution,[],[f116133,f9495]) ).
thf(f116140,plain,
( spl2_226
| ~ spl2_139
| ~ spl2_156
| spl2_202 ),
inference(avatar_split_clause,[],[f116138,f5731,f4053,f3611,f5973]) ).
thf(f116153,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f58,f9003]) ).
thf(f116157,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_278 ),
inference(duplicate_literal_removal,[],[f116153]) ).
thf(f116158,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f116157]) ).
thf(f116163,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_117 ),
inference(constrained_superposition,[],[f3307,f52]) ).
thf(f116165,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_117 ),
inference(trivial_inequality_removal,[],[f116163]) ).
thf(f116169,plain,
( spl2_178
| spl2_21
| spl2_117 ),
inference(avatar_split_clause,[],[f116165,f3306,f249,f5381]) ).
thf(f116268,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_324 ),
inference(constrained_superposition,[],[f12577,f78]) ).
thf(f116275,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_324 ),
inference(trivial_inequality_removal,[],[f116268]) ).
thf(f116279,plain,
( spl2_21
| spl2_234
| spl2_324 ),
inference(avatar_split_clause,[],[f116275,f12576,f6393,f249]) ).
thf(f116281,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_234
| ~ spl2_838 ),
inference(constrained_superposition,[],[f112308,f6394]) ).
thf(f116290,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_234
| ~ spl2_838 ),
inference(duplicate_literal_removal,[],[f116281]) ).
thf(f116291,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_234
| ~ spl2_838 ),
inference(trivial_inequality_removal,[],[f116290]) ).
thf(f116292,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_132
| ~ spl2_234
| ~ spl2_838 ),
inference(forward_subsumption_resolution,[],[f116291,f3407]) ).
thf(f116293,plain,
( spl2_237
| ~ spl2_132
| ~ spl2_234
| ~ spl2_838 ),
inference(avatar_split_clause,[],[f116292,f112307,f6393,f3406,f6483]) ).
thf(f116314,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f341,f5311]) ).
thf(f116350,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f116314]) ).
thf(f116354,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_92
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f116350,f11200]) ).
thf(f116355,plain,
( ~ spl2_176
| spl2_177
| spl2_92
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f116354,f5310,f2448,f5377,f5374]) ).
thf(f116368,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_234
| ~ spl2_473 ),
inference(constrained_superposition,[],[f36625,f6394]) ).
thf(f116374,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_234
| ~ spl2_473 ),
inference(trivial_inequality_removal,[],[f116368]) ).
thf(f116375,plain,
( $false
| ~ spl2_140
| ~ spl2_234
| ~ spl2_473 ),
inference(forward_subsumption_resolution,[],[f116374,f3615]) ).
thf(f116376,plain,
( ~ spl2_140
| ~ spl2_234
| ~ spl2_473 ),
inference(avatar_contradiction_clause,[],[f116375]) ).
thf(f116379,plain,
( spl2_110
| spl2_301
| spl2_637
| spl2_93 ),
inference(avatar_split_clause,[],[f114418,f2451,f63811,f10415,f2964]) ).
thf(f116383,plain,
( spl2_685
| spl2_139
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f116158,f9002,f3611,f70946]) ).
thf(f116384,plain,
( spl2_113
| spl2_98
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f115198,f3406,f2724,f3066]) ).
thf(f116401,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_308 ),
inference(constrained_superposition,[],[f58,f10830]) ).
thf(f116403,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_308 ),
inference(duplicate_literal_removal,[],[f116401]) ).
thf(f116404,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f116403]) ).
thf(f116461,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_204
| ~ spl2_299 ),
inference(constrained_superposition,[],[f5739,f10335]) ).
thf(f116463,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_249
| ~ spl2_299 ),
inference(constrained_superposition,[],[f7326,f10335]) ).
thf(f116464,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_269
| ~ spl2_299 ),
inference(constrained_superposition,[],[f8057,f10335]) ).
thf(f116465,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_258
| ~ spl2_299 ),
inference(constrained_superposition,[],[f8082,f10335]) ).
thf(f116468,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_244
| ~ spl2_299 ),
inference(constrained_superposition,[],[f12690,f10335]) ).
thf(f116469,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_194
| ~ spl2_299 ),
inference(constrained_superposition,[],[f13432,f10335]) ).
thf(f116471,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_299
| spl2_384 ),
inference(constrained_superposition,[],[f26232,f10335]) ).
thf(f116478,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_255
| ~ spl2_299 ),
inference(constrained_superposition,[],[f85174,f10335]) ).
thf(f116491,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_299
| ~ spl2_621 ),
inference(constrained_superposition,[],[f63619,f10335]) ).
thf(f116502,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_299 ),
inference(constrained_superposition,[],[f344,f10335]) ).
thf(f116504,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_299 ),
inference(constrained_superposition,[],[f1673,f10335]) ).
thf(f116506,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl2_299 ),
inference(constrained_superposition,[],[f2250,f10335]) ).
thf(f116511,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_299
| ~ spl2_621 ),
inference(constrained_superposition,[],[f63619,f10335]) ).
thf(f116591,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_299
| ~ spl2_621 ),
inference(duplicate_literal_removal,[],[f116511]) ).
thf(f116593,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_299 ),
inference(duplicate_literal_removal,[],[f116502]) ).
thf(f116597,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_299 ),
inference(duplicate_literal_removal,[],[f116506]) ).
thf(f116600,plain,
( $false
| spl2_249
| ~ spl2_278
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f116463,f9003]) ).
thf(f116601,plain,
( spl2_249
| ~ spl2_278
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f116600]) ).
thf(f116602,plain,
( spl2_232
| ~ spl2_75
| spl2_123
| ~ spl2_299
| ~ spl2_621 ),
inference(avatar_split_clause,[],[f116591,f63618,f10334,f3326,f2273,f6288]) ).
thf(f116605,plain,
( ~ spl2_232
| spl2_255
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f116478,f10334,f7072,f6288]) ).
thf(f116607,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_121
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f116504,f3321]) ).
thf(f116610,plain,
( spl2_68
| spl2_23
| ~ spl2_14
| ~ spl2_27
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f116593,f10334,f343,f209,f274,f1231]) ).
thf(f116616,plain,
( ~ spl2_68
| ~ spl2_299
| spl2_384 ),
inference(avatar_split_clause,[],[f116471,f22086,f10334,f1231]) ).
thf(f116619,plain,
( ~ spl2_178
| spl2_258
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f116465,f10334,f7257,f5381]) ).
thf(f116622,plain,
( ~ spl2_14
| spl2_178
| spl2_78
| ~ spl2_299
| ~ spl2_621 ),
inference(avatar_split_clause,[],[f116491,f63618,f10334,f2284,f5381,f209]) ).
thf(f116626,plain,
( spl2_232
| spl2_233
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f116597,f10334,f6291,f6288]) ).
thf(f116628,plain,
( spl2_68
| ~ spl2_204
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f116461,f10334,f5738,f1231]) ).
thf(f116629,plain,
( $false
| ~ spl2_132
| spl2_269
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f116464,f3407]) ).
thf(f116630,plain,
( ~ spl2_132
| spl2_269
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f116629]) ).
thf(f116631,plain,
( $false
| spl2_194
| ~ spl2_204
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f116469,f5739]) ).
thf(f116632,plain,
( spl2_194
| ~ spl2_204
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f116631]) ).
thf(f116637,plain,
( $false
| ~ spl2_29
| spl2_244
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f116468,f351]) ).
thf(f116638,plain,
( ~ spl2_29
| spl2_244
| ~ spl2_299 ),
inference(avatar_contradiction_clause,[],[f116637]) ).
thf(f116642,plain,
( spl2_232
| spl2_121
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f116607,f10334,f3320,f6288]) ).
thf(f116649,plain,
( spl2_33
| spl2_17
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f116404,f10829,f219,f388]) ).
thf(f116652,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1837,f421]) ).
thf(f116653,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f56336,f421]) ).
thf(f116658,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f1504,f421]) ).
thf(f116661,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f116653]) ).
thf(f116665,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f116658]) ).
thf(f116667,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f116652]) ).
thf(f116670,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f116661,f41]) ).
thf(f116671,plain,
( spl2_266
| spl2_70
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f116665,f89,f1553,f7960]) ).
thf(f116672,plain,
( spl2_266
| spl2_71
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f116667,f89,f1881,f7960]) ).
thf(f116673,plain,
( spl2_149
| spl2_279
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f116670,f89,f9027,f4018]) ).
thf(f116701,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f58443,f31594]) ).
thf(f116702,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f58029,f31594]) ).
thf(f116705,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f1445,f31594]) ).
thf(f116707,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f83,f31594]) ).
thf(f116710,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f185,f31594]) ).
thf(f116711,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_299 ),
inference(extensionality_resolution,[],[f185,f31594]) ).
thf(f116714,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_299 ),
inference(extensionality_resolution,[],[f78,f31594]) ).
thf(f116715,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_299 ),
inference(extensionality_resolution,[],[f78,f31594]) ).
thf(f116720,plain,
( spl2_173
| spl2_172
| spl2_299 ),
inference(avatar_split_clause,[],[f116714,f10334,f5324,f5327]) ).
thf(f116721,plain,
( spl2_170
| spl2_171
| spl2_299 ),
inference(avatar_split_clause,[],[f116715,f10334,f5320,f5317]) ).
thf(f116722,plain,
( spl2_417
| spl2_418
| spl2_299 ),
inference(avatar_split_clause,[],[f116710,f10334,f31620,f31617]) ).
thf(f116723,plain,
( spl2_419
| spl2_420
| spl2_299 ),
inference(avatar_split_clause,[],[f116711,f10334,f31627,f31624]) ).
thf(f116838,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_254 ),
inference(constrained_superposition,[],[f58,f7069]) ).
thf(f116841,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f116838]) ).
thf(f116902,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_246 ),
inference(constrained_superposition,[],[f58,f6698]) ).
thf(f116904,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f116902]) ).
thf(f116992,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f176,f5311]) ).
thf(f117028,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f116992]) ).
thf(f117133,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f58,f5318]) ).
thf(f117137,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f117133]) ).
thf(f117141,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( 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_172 ),
inference(constrained_superposition,[],[f2250,f5325]) ).
thf(f117142,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f55512,f5325]) ).
thf(f117143,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f201,f5325]) ).
thf(f117144,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f341,f5325]) ).
thf(f117145,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f87,f5325]) ).
thf(f117146,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f176,f5325]) ).
thf(f117164,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f117145]) ).
thf(f117168,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( 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 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f117141]) ).
thf(f117169,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f117142]) ).
thf(f117175,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f117144]) ).
thf(f117176,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f117143]) ).
thf(f117184,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f117146]) ).
thf(f117185,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_172
| spl2_244 ),
inference(forward_subsumption_resolution,[],[f117164,f12690]) ).
thf(f117186,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_172
| spl2_234 ),
inference(forward_subsumption_resolution,[],[f117168,f72809]) ).
thf(f117187,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_172
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f117169,f24914]) ).
thf(f117189,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_172
| spl2_204 ),
inference(forward_subsumption_resolution,[],[f117175,f11315]) ).
thf(f117190,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_140
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f117176,f26276]) ).
thf(f117191,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_172
| spl2_202 ),
inference(forward_subsumption_resolution,[],[f117184,f9495]) ).
thf(f117192,plain,
( spl2_221
| ~ spl2_201
| ~ spl2_172
| spl2_244 ),
inference(avatar_split_clause,[],[f117185,f6684,f5324,f5728,f5873]) ).
thf(f117193,plain,
( spl2_304
| ~ spl2_305
| ~ spl2_172
| spl2_234 ),
inference(avatar_split_clause,[],[f117186,f6393,f5324,f10699,f10696]) ).
thf(f117194,plain,
( spl2_196
| ~ spl2_305
| ~ spl2_172
| spl2_301 ),
inference(avatar_split_clause,[],[f117187,f10415,f5324,f10699,f5710]) ).
thf(f117195,plain,
( spl2_196
| ~ spl2_205
| ~ spl2_172
| spl2_204 ),
inference(avatar_split_clause,[],[f117189,f5738,f5324,f5741,f5710]) ).
thf(f117196,plain,
( ~ spl2_205
| spl2_217
| spl2_140
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f117190,f5324,f3614,f5858,f5741]) ).
thf(f117197,plain,
( spl2_196
| ~ spl2_201
| ~ spl2_172
| spl2_202 ),
inference(avatar_split_clause,[],[f117191,f5731,f5324,f5728,f5710]) ).
thf(f117232,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_99
| ~ spl2_250 ),
inference(constrained_superposition,[],[f2732,f11450]) ).
thf(f117238,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_99
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f117232]) ).
thf(f117240,plain,
( $false
| ~ spl2_99
| spl2_244
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f117238,f12690]) ).
thf(f117241,plain,
( ~ spl2_99
| spl2_244
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f117240]) ).
thf(f117243,plain,
( spl2_84
| ~ spl2_247
| spl2_177
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f117028,f5310,f5377,f6703,f2310]) ).
thf(f117246,plain,
( spl2_255
| spl2_130
| ~ spl2_128
| spl2_269
| spl2_299 ),
inference(avatar_split_clause,[],[f116702,f10334,f8056,f3386,f3395,f7072]) ).
thf(f117247,plain,
( spl2_334
| spl2_203
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f116904,f6697,f5734,f13834]) ).
thf(f117248,plain,
( spl2_203
| spl2_213
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f117137,f5317,f5798,f5734]) ).
thf(f117266,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f96,f29]) ).
thf(f117270,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f117266]) ).
thf(f117292,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_204 ),
inference(constrained_superposition,[],[f416,f5739]) ).
thf(f117297,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_204 ),
inference(trivial_inequality_removal,[],[f117292]) ).
thf(f117299,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_204
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f117297,f11450]) ).
thf(f117300,plain,
( spl2_847
| ~ spl2_35
| ~ spl2_204
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f117299,f6719,f5738,f415,f116036]) ).
thf(f117399,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f2285,f76]) ).
thf(f117405,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f117399]) ).
thf(f117434,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f55512,f61125]) ).
thf(f117435,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f201,f61125]) ).
thf(f117436,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f341,f61125]) ).
thf(f117437,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f87,f61125]) ).
thf(f117438,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f176,f61125]) ).
thf(f117439,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f60,f61125]) ).
thf(f117446,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f58443,f61125]) ).
thf(f117448,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f28,f61125]) ).
thf(f117453,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f56220,f61125]) ).
thf(f117455,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f117437]) ).
thf(f117460,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f117434]) ).
thf(f117463,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f117448]) ).
thf(f117464,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f117436]) ).
thf(f117465,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f117435]) ).
thf(f117467,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f117446]) ).
thf(f117469,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f117439]) ).
thf(f117470,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f117438]) ).
thf(f117471,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f117453]) ).
thf(f117477,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_301
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f117460,f24914]) ).
thf(f117479,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| spl2_278
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f117467,f73780]) ).
thf(f117488,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(constrained_superposition,[],[f55512,f61129]) ).
thf(f117529,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_590 ),
inference(trivial_inequality_removal,[],[f117488]) ).
thf(f117534,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_169
| ~ spl2_590 ),
inference(forward_subsumption_resolution,[],[f117529,f18683]) ).
thf(f117535,plain,
( ~ spl2_209
| spl2_593
| spl2_169
| ~ spl2_590 ),
inference(avatar_split_clause,[],[f117534,f61128,f5313,f61222,f5755]) ).
thf(f117597,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f55512,f61114]) ).
thf(f117631,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f117597]) ).
thf(f117643,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| spl2_169
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f117631,f18683]) ).
thf(f117644,plain,
( spl2_601
| ~ spl2_305
| spl2_169
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f117643,f61113,f5313,f10699,f61833]) ).
thf(f117700,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_33
| ~ spl2_188 ),
inference(constrained_superposition,[],[f389,f5499]) ).
thf(f117708,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_33
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f117700]) ).
thf(f117709,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_33
| ~ spl2_188
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f117708,f9492]) ).
thf(f117710,plain,
( spl2_520
| ~ spl2_33
| ~ spl2_188
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f117709,f8056,f5498,f388,f45311]) ).
thf(f118045,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_823 ),
inference(constrained_superposition,[],[f106596,f76]) ).
thf(f118054,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_823 ),
inference(trivial_inequality_removal,[],[f118045]) ).
thf(f118059,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_486
| ~ spl2_588 ),
inference(constrained_superposition,[],[f38188,f61121]) ).
thf(f118066,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_486
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f118059]) ).
thf(f118071,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_269
| ~ spl2_402 ),
inference(constrained_superposition,[],[f26251,f9492]) ).
thf(f118077,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_269
| ~ spl2_402 ),
inference(trivial_inequality_removal,[],[f118071]) ).
thf(f118081,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_31
| ~ spl2_269
| ~ spl2_402 ),
inference(forward_subsumption_resolution,[],[f118077,f2734]) ).
thf(f118083,plain,
( spl2_30
| ~ spl2_31
| ~ spl2_269
| ~ spl2_402 ),
inference(avatar_split_clause,[],[f118081,f26250,f8056,f379,f376]) ).
thf(f118087,plain,
( ~ spl2_168
| spl2_593
| spl2_301
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f117477,f61124,f10415,f61222,f5310]) ).
thf(f118088,plain,
( ~ spl2_371
| ~ spl2_188
| ~ spl2_486
| ~ spl2_588 ),
inference(avatar_split_clause,[],[f118066,f61120,f38187,f5498,f20309]) ).
thf(f118089,plain,
( spl2_94
| ~ spl2_25
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f117405,f2284,f281,f2531]) ).
thf(f118178,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f58,f5314]) ).
thf(f118180,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_268 ),
inference(constrained_superposition,[],[f8054,f5314]) ).
thf(f118182,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f27,f5314]) ).
thf(f118184,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_169
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f118180]) ).
thf(f118185,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f118178]) ).
thf(f118186,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f118182]) ).
thf(f118207,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_371 ),
inference(constrained_superposition,[],[f58,f20310]) ).
thf(f118210,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f118207]) ).
thf(f118343,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_442
| ~ spl2_692 ),
inference(constrained_superposition,[],[f72066,f33508]) ).
thf(f118349,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_442
| ~ spl2_692 ),
inference(trivial_inequality_removal,[],[f118343]) ).
thf(f118408,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_110
| ~ spl2_132 ),
inference(constrained_superposition,[],[f115196,f2965]) ).
thf(f118409,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f115196,f50]) ).
thf(f118413,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_110
| ~ spl2_132 ),
inference(duplicate_literal_removal,[],[f118408]) ).
thf(f118414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_110
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f118413]) ).
thf(f118415,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_132 ),
inference(duplicate_literal_removal,[],[f118409]) ).
thf(f118416,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f118415]) ).
thf(f118420,plain,
( spl2_38
| ~ spl2_110
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f118414,f3406,f2964,f429]) ).
thf(f118421,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl2_98
| ~ spl2_132 ),
inference(forward_subsumption_resolution,[],[f118416,f3384]) ).
thf(f118422,plain,
( spl2_38
| spl2_98
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f118421,f3406,f2724,f429]) ).
thf(f118426,plain,
( ~ spl2_94
| ~ spl2_132
| ~ spl2_169
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f118184,f8053,f5313,f3406,f2531]) ).
thf(f118428,plain,
( ~ spl2_247
| spl2_244
| spl2_189
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f117455,f61124,f5502,f6684,f6703]) ).
thf(f118430,plain,
( ~ spl2_191
| spl2_703
| spl2_278
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f117479,f61124,f9002,f72890,f5519]) ).
thf(f118434,plain,
( spl2_202
| ~ spl2_247
| spl2_593
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f117470,f61124,f61222,f6703,f5731]) ).
thf(f118435,plain,
( spl2_191
| spl2_740
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f118210,f20309,f74894,f5519]) ).
thf(f118436,plain,
( spl2_191
| spl2_342
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f116841,f7068,f14075,f5519]) ).
thf(f118465,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_202 ),
inference(constrained_superposition,[],[f692,f5732]) ).
thf(f118471,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_47
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f118465]) ).
thf(f118473,plain,
( spl2_845
| ~ spl2_47
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f118471,f5731,f691,f114351]) ).
thf(f118538,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_250
| ~ spl2_845 ),
inference(constrained_superposition,[],[f114352,f11450]) ).
thf(f118539,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_845 ),
inference(constrained_superposition,[],[f114352,f50]) ).
thf(f118541,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_371
| ~ spl2_845 ),
inference(constrained_superposition,[],[f114352,f20310]) ).
thf(f118546,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_371
| ~ spl2_845 ),
inference(trivial_inequality_removal,[],[f118541]) ).
thf(f118549,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_250
| ~ spl2_845 ),
inference(trivial_inequality_removal,[],[f118538]) ).
thf(f118550,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_845 ),
inference(trivial_inequality_removal,[],[f118539]) ).
thf(f118717,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_832 ),
inference(constrained_superposition,[],[f110257,f6394]) ).
thf(f118722,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_234
| ~ spl2_832 ),
inference(trivial_inequality_removal,[],[f118717]) ).
thf(f118728,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_94
| ~ spl2_234
| ~ spl2_832 ),
inference(forward_subsumption_resolution,[],[f118722,f2532]) ).
thf(f118729,plain,
( spl2_353
| ~ spl2_94
| ~ spl2_234
| ~ spl2_832 ),
inference(avatar_split_clause,[],[f118728,f110256,f6393,f2531,f17771]) ).
thf(f118730,plain,
( ~ spl2_307
| ~ spl2_206
| ~ spl2_442
| ~ spl2_692 ),
inference(avatar_split_clause,[],[f118349,f72065,f33507,f5745,f10720]) ).
thf(f118731,plain,
( spl2_181
| spl2_625
| spl2_255
| spl2_299 ),
inference(avatar_split_clause,[],[f116705,f10334,f7072,f63675,f5428]) ).
thf(f118737,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_823 ),
inference(forward_subsumption_resolution,[],[f118054,f421]) ).
thf(f118738,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_139
| ~ spl2_845 ),
inference(forward_subsumption_resolution,[],[f118550,f3612]) ).
thf(f118739,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f117471,f41]) ).
thf(f118740,plain,
( spl2_182
| ~ spl2_191
| spl2_278
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f117469,f61124,f9002,f5519,f5475]) ).
thf(f118742,plain,
( ~ spl2_180
| ~ spl2_371
| ~ spl2_845 ),
inference(avatar_split_clause,[],[f118546,f114351,f20309,f5425]) ).
thf(f118745,plain,
( ~ spl2_149
| ~ spl2_250
| ~ spl2_845 ),
inference(avatar_split_clause,[],[f118549,f114351,f6719,f4018]) ).
thf(f118746,plain,
( ~ spl2_176
| spl2_204
| spl2_593
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f117464,f61124,f61222,f5738,f5374]) ).
thf(f118748,plain,
( ~ spl2_191
| spl2_278
| spl2_703
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f117467,f61124,f72890,f9002,f5519]) ).
thf(f118752,plain,
( spl2_179
| spl2_140
| ~ spl2_176
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f117465,f61124,f5374,f3614,f5384]) ).
thf(f118754,plain,
( spl2_246
| ~ spl2_247
| ~ spl2_4
| ~ spl2_823 ),
inference(avatar_split_clause,[],[f118737,f106595,f89,f6703,f6697]) ).
thf(f118755,plain,
( ~ spl2_149
| spl2_139
| ~ spl2_845 ),
inference(avatar_split_clause,[],[f118738,f114351,f3611,f4018]) ).
thf(f118756,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_589 ),
inference(forward_subsumption_resolution,[],[f118739,f41]) ).
thf(f118760,plain,
( spl2_278
| spl2_181
| spl2_245
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f118756,f61124,f6688,f5428,f9002]) ).
thf(f118762,plain,
( spl2_132
| spl2_130
| spl2_234
| spl2_278
| spl2_93 ),
inference(avatar_split_clause,[],[f114415,f2451,f9002,f6393,f3395,f3406]) ).
thf(f118765,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_269
| spl2_299 ),
inference(forward_subsumption_resolution,[],[f116701,f8057]) ).
thf(f118767,plain,
( spl2_255
| spl2_132
| spl2_130
| spl2_269
| spl2_299 ),
inference(avatar_split_clause,[],[f118765,f10334,f8056,f3395,f3406,f7072]) ).
thf(f118798,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f58,f247]) ).
thf(f118801,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f118798]) ).
thf(f118855,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_191 ),
inference(constrained_superposition,[],[f117270,f5520]) ).
thf(f118857,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f28,f5520]) ).
thf(f118870,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_6
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f118855]) ).
thf(f118873,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f118857]) ).
thf(f118876,plain,
( spl2_180
| spl2_186
| ~ spl2_6
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f118870,f5519,f95,f5491,f5425]) ).
thf(f118901,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_203 ),
inference(constrained_superposition,[],[f117270,f5800]) ).
thf(f118903,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_203 ),
inference(constrained_superposition,[],[f28,f5800]) ).
thf(f118911,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f118901]) ).
thf(f118914,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f118903]) ).
thf(f118921,plain,
( spl2_206
| spl2_212
| ~ spl2_6
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f118911,f5734,f95,f5767,f5745]) ).
thf(f118933,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f58,f5477]) ).
thf(f118936,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_180 ),
inference(constrained_superposition,[],[f27,f5477]) ).
thf(f118939,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f118933]) ).
thf(f118940,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f118936]) ).
thf(f118988,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_237 ),
inference(constrained_superposition,[],[f6484,f2311]) ).
thf(f118993,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f118988]) ).
thf(f118998,plain,
( $false
| ~ spl2_84
| ~ spl2_149
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f118993,f4019]) ).
thf(f118999,plain,
( ~ spl2_84
| ~ spl2_149
| ~ spl2_237 ),
inference(avatar_contradiction_clause,[],[f118998]) ).
thf(f119060,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f58,f5499]) ).
thf(f119064,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f119060]) ).
thf(f119071,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| spl2_17
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f119064,f220]) ).
thf(f119236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_208 ),
inference(constrained_superposition,[],[f58,f5753]) ).
thf(f119245,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f119236]) ).
thf(f119438,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_113
| ~ spl2_169 ),
inference(constrained_superposition,[],[f3067,f5314]) ).
thf(f119442,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_113
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f119438]) ).
thf(f119487,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_442
| ~ spl2_819 ),
inference(constrained_superposition,[],[f104843,f33508]) ).
thf(f119493,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_442
| ~ spl2_819 ),
inference(trivial_inequality_removal,[],[f119487]) ).
thf(f119498,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_180
| ~ spl2_442
| ~ spl2_819 ),
inference(forward_subsumption_resolution,[],[f119493,f5477]) ).
thf(f119499,plain,
( $false
| ~ spl2_180
| ~ spl2_188
| ~ spl2_442
| ~ spl2_819 ),
inference(forward_subsumption_resolution,[],[f119498,f5499]) ).
thf(f119500,plain,
( ~ spl2_180
| ~ spl2_188
| ~ spl2_442
| ~ spl2_819 ),
inference(avatar_contradiction_clause,[],[f119499]) ).
thf(f119508,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_613 ),
inference(constrained_superposition,[],[f63565,f1673]) ).
thf(f119512,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_613 ),
inference(trivial_inequality_removal,[],[f119508]) ).
thf(f119520,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_206
| ~ spl2_843 ),
inference(constrained_superposition,[],[f114050,f5746]) ).
thf(f119524,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_206
| ~ spl2_843 ),
inference(trivial_inequality_removal,[],[f119520]) ).
thf(f119529,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_149
| ~ spl2_206
| ~ spl2_843 ),
inference(forward_subsumption_resolution,[],[f119524,f4019]) ).
thf(f119531,plain,
( $false
| ~ spl2_149
| ~ spl2_202
| ~ spl2_206
| ~ spl2_843 ),
inference(forward_subsumption_resolution,[],[f119529,f5732]) ).
thf(f119532,plain,
( ~ spl2_149
| ~ spl2_202
| ~ spl2_206
| ~ spl2_843 ),
inference(avatar_contradiction_clause,[],[f119531]) ).
thf(f119624,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f118873,f76]) ).
thf(f119628,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f118873,f1673]) ).
thf(f119633,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f119628]) ).
thf(f119635,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f119624]) ).
thf(f119675,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_84
| ~ spl2_101 ),
inference(constrained_superposition,[],[f2743,f2311]) ).
thf(f119684,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_84
| ~ spl2_101 ),
inference(trivial_inequality_removal,[],[f119675]) ).
thf(f119687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84
| ~ spl2_101
| ~ spl2_149 ),
inference(forward_subsumption_resolution,[],[f119684,f4019]) ).
thf(f119688,plain,
( spl2_781
| ~ spl2_84
| ~ spl2_101
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f119687,f4018,f2742,f2310,f89374]) ).
thf(f119715,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_203 ),
inference(constrained_superposition,[],[f118914,f76]) ).
thf(f119725,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f119715]) ).
thf(f119728,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f119725,f421]) ).
thf(f119729,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_203
| spl2_246 ),
inference(forward_subsumption_resolution,[],[f119728,f7325]) ).
thf(f119730,plain,
( spl2_221
| ~ spl2_4
| ~ spl2_203
| spl2_246 ),
inference(avatar_split_clause,[],[f119729,f6697,f5734,f89,f5873]) ).
thf(f119759,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_371
| ~ spl2_597 ),
inference(constrained_superposition,[],[f61363,f20310]) ).
thf(f119766,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_371
| ~ spl2_597 ),
inference(trivial_inequality_removal,[],[f119759]) ).
thf(f119802,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f117463,f51]) ).
thf(f119804,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f117463,f76]) ).
thf(f119806,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f117463,f187]) ).
thf(f119808,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_589 ),
inference(constrained_superposition,[],[f117463,f1673]) ).
thf(f119809,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f119804]) ).
thf(f119810,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f119806]) ).
thf(f119815,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f119808]) ).
thf(f119816,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_589 ),
inference(trivial_inequality_removal,[],[f119802]) ).
thf(f119904,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| spl2_17
| ~ spl2_188 ),
inference(constrained_superposition,[],[f119071,f5499]) ).
thf(f119915,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_17
| ~ spl2_188 ),
inference(duplicate_literal_removal,[],[f119904]) ).
thf(f119916,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_17
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f119915]) ).
thf(f119920,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_17
| ~ spl2_188
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f119916,f10830]) ).
thf(f119922,plain,
( spl2_401
| spl2_17
| ~ spl2_188
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f119920,f10829,f5498,f219,f26244]) ).
thf(f119947,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_206
| ~ spl2_827 ),
inference(constrained_superposition,[],[f106681,f5746]) ).
thf(f119955,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_206
| ~ spl2_827 ),
inference(duplicate_literal_removal,[],[f119947]) ).
thf(f119956,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_206
| ~ spl2_827 ),
inference(trivial_inequality_removal,[],[f119955]) ).
thf(f119960,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_149
| ~ spl2_206
| ~ spl2_827 ),
inference(forward_subsumption_resolution,[],[f119956,f4019]) ).
thf(f119965,definition,
( spl2_852
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_852])],[avatar_definition]) ).
thf(f119966,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_852 ),
inference(avatar_component_clause,[],[f119965]) ).
thf(f119968,plain,
( spl2_852
| ~ spl2_149
| ~ spl2_206
| ~ spl2_827 ),
inference(avatar_split_clause,[],[f119960,f106680,f5745,f4018,f119965]) ).
thf(f119970,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_442
| ~ spl2_852 ),
inference(constrained_superposition,[],[f119966,f33508]) ).
thf(f119971,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_852 ),
inference(constrained_superposition,[],[f119966,f5328]) ).
thf(f119975,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| ~ spl2_852 ),
inference(trivial_inequality_removal,[],[f119971]) ).
thf(f119979,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_442
| ~ spl2_852 ),
inference(trivial_inequality_removal,[],[f119970]) ).
thf(f119981,plain,
( $false
| ~ spl2_173
| ~ spl2_202
| ~ spl2_852 ),
inference(forward_subsumption_resolution,[],[f119975,f5732]) ).
thf(f119982,plain,
( ~ spl2_173
| ~ spl2_202
| ~ spl2_852 ),
inference(avatar_contradiction_clause,[],[f119981]) ).
thf(f119983,plain,
( $false
| ~ spl2_180
| ~ spl2_442
| ~ spl2_852 ),
inference(forward_subsumption_resolution,[],[f119979,f5477]) ).
thf(f119984,plain,
( ~ spl2_180
| ~ spl2_442
| ~ spl2_852 ),
inference(avatar_contradiction_clause,[],[f119983]) ).
thf(f120057,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_371 ),
inference(constrained_superposition,[],[f118940,f20310]) ).
thf(f120064,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_180
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f120057]) ).
thf(f120089,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_371
| ~ spl2_442 ),
inference(constrained_superposition,[],[f120064,f33508]) ).
thf(f120102,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_180
| ~ spl2_371
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f120089]) ).
thf(f120104,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_170
| ~ spl2_180
| ~ spl2_371
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f120102,f5318]) ).
thf(f120105,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_170
| ~ spl2_180
| ~ spl2_371
| ~ spl2_442 ),
inference(constrained_superposition,[],[f120104,f50]) ).
thf(f120106,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_170
| ~ spl2_180
| ~ spl2_371
| ~ spl2_442 ),
inference(constrained_superposition,[],[f120104,f33508]) ).
thf(f120111,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_170
| ~ spl2_180
| ~ spl2_371
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f120105]) ).
thf(f120112,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_180
| ~ spl2_371
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f120106]) ).
thf(f120181,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f1837,f2725]) ).
thf(f120198,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_98 ),
inference(trivial_inequality_removal,[],[f120181]) ).
thf(f120203,plain,
( spl2_97
| spl2_96
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f120198,f2724,f2538,f2542]) ).
thf(f120332,plain,
( spl2_758
| spl2_4
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f118939,f5425,f89,f83374]) ).
thf(f120333,plain,
( ~ spl2_98
| spl2_177
| spl2_255
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f119633,f5519,f7072,f5377,f2724]) ).
thf(f120334,plain,
( ~ spl2_324
| spl2_177
| spl2_255
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f119815,f61124,f7072,f5377,f12576]) ).
thf(f120336,plain,
( spl2_254
| ~ spl2_4
| spl2_189
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f119635,f5519,f5502,f89,f7068]) ).
thf(f120338,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_93
| spl2_132 ),
inference(forward_subsumption_resolution,[],[f114414,f8373]) ).
thf(f120339,plain,
( ~ spl2_231
| spl2_269
| spl2_182
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f119816,f61124,f5475,f8056,f5993]) ).
thf(f120341,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_132
| spl2_299 ),
inference(forward_subsumption_resolution,[],[f116701,f8373]) ).
thf(f120342,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_93
| spl2_132 ),
inference(forward_subsumption_resolution,[],[f114417,f8373]) ).
thf(f120343,plain,
( spl2_274
| spl2_203
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f119245,f5752,f5734,f8293]) ).
thf(f120345,plain,
( ~ spl2_333
| spl2_179
| spl2_258
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f119810,f61124,f7257,f5384,f13826]) ).
thf(f120348,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_180
| ~ spl2_371
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f120112,f20310]) ).
thf(f120349,plain,
( ~ spl2_98
| spl2_255
| ~ spl2_209
| ~ spl2_613 ),
inference(avatar_split_clause,[],[f119512,f63564,f5755,f7072,f2724]) ).
thf(f120351,plain,
( ~ spl2_269
| spl2_520
| ~ spl2_113
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f119442,f5313,f3066,f45311,f8056]) ).
thf(f120353,plain,
( spl2_36
| spl2_4
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f118801,f246,f89,f419]) ).
thf(f120354,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| spl2_93
| spl2_234 ),
inference(forward_subsumption_resolution,[],[f114421,f72809]) ).
thf(f120355,plain,
( ~ spl2_335
| spl2_189
| spl2_254
| ~ spl2_589 ),
inference(avatar_split_clause,[],[f119809,f61124,f7068,f5502,f13845]) ).
thf(f120356,plain,
( spl2_754
| ~ spl2_244
| ~ spl2_371
| ~ spl2_597 ),
inference(avatar_split_clause,[],[f119766,f61362,f20309,f6684,f80768]) ).
thf(f120357,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_170
| ~ spl2_180
| ~ spl2_250
| ~ spl2_371
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f120111,f11450]) ).
thf(f120362,plain,
( ~ spl2_98
| spl2_255
| spl2_130
| spl2_269
| spl2_299 ),
inference(avatar_split_clause,[],[f116707,f10334,f8056,f3395,f7072,f2724]) ).
thf(f120363,plain,
( spl2_226
| spl2_301
| spl2_278
| spl2_93
| spl2_132 ),
inference(avatar_split_clause,[],[f120338,f3406,f2451,f9002,f10415,f5973]) ).
thf(f120364,plain,
( spl2_255
| spl2_130
| spl2_269
| spl2_132
| spl2_299 ),
inference(avatar_split_clause,[],[f120341,f10334,f3406,f8056,f3395,f7072]) ).
thf(f120365,plain,
( spl2_301
| spl2_226
| ~ spl2_231
| spl2_93
| spl2_132 ),
inference(avatar_split_clause,[],[f120342,f3406,f2451,f5993,f5973,f10415]) ).
thf(f120366,plain,
( ~ spl2_254
| ~ spl2_170
| ~ spl2_180
| ~ spl2_371
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f120348,f33507,f20309,f5425,f5317,f7068]) ).
thf(f120367,plain,
( spl2_130
| ~ spl2_98
| spl2_278
| spl2_93
| spl2_234 ),
inference(avatar_split_clause,[],[f120354,f6393,f2451,f9002,f2724,f3395]) ).
thf(f120368,plain,
( spl2_203
| ~ spl2_40
| ~ spl2_170
| ~ spl2_180
| ~ spl2_250
| ~ spl2_371
| ~ spl2_442 ),
inference(avatar_split_clause,[],[f120357,f33507,f20309,f6719,f5425,f5317,f512,f5734]) ).
thf(f120376,plain,
( spl2_98
| spl2_282
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f118185,f5313,f9404,f2724]) ).
thf(f120644,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_305 ),
inference(constrained_superposition,[],[f10700,f29]) ).
thf(f120649,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_305 ),
inference(trivial_inequality_removal,[],[f120644]) ).
thf(f120653,plain,
( spl2_306
| spl2_307
| spl2_305 ),
inference(avatar_split_clause,[],[f120649,f10699,f10720,f10717]) ).
thf(f120710,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_126
| ~ spl2_169 ),
inference(constrained_superposition,[],[f3371,f5314]) ).
thf(f120717,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_126
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f120710]) ).
thf(f120791,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f28,f61118]) ).
thf(f120812,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f120791]) ).
thf(f121149,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_307
| ~ spl2_835 ),
inference(constrained_superposition,[],[f111034,f10721]) ).
thf(f121158,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_307
| ~ spl2_835 ),
inference(trivial_inequality_removal,[],[f121149]) ).
thf(f121159,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_211
| ~ spl2_307
| ~ spl2_835 ),
inference(forward_subsumption_resolution,[],[f121158,f5764]) ).
thf(f121160,plain,
( spl2_833
| ~ spl2_211
| ~ spl2_307
| ~ spl2_835 ),
inference(avatar_split_clause,[],[f121159,f111033,f10720,f5763,f110569]) ).
thf(f121236,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_173
| ~ spl2_236 ),
inference(constrained_superposition,[],[f6475,f5328]) ).
thf(f121242,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_173
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f121236]) ).
thf(f121321,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f120812,f1673]) ).
thf(f121330,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f121321]) ).
thf(f121333,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_208
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f121330,f13433]) ).
thf(f121334,plain,
( spl2_177
| ~ spl2_476
| spl2_208
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f121333,f61117,f5752,f36650,f5377]) ).
thf(f121337,plain,
( ~ spl2_181
| ~ spl2_180
| ~ spl2_126
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f120717,f5313,f3370,f5425,f5428]) ).
thf(f121353,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f58,f2311]) ).
thf(f121360,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f121353]) ).
thf(f121365,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_4
| ~ spl2_84 ),
inference(forward_subsumption_resolution,[],[f121360,f90]) ).
thf(f121366,plain,
( spl2_344
| spl2_4
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f121365,f2310,f89,f14343]) ).
thf(f121423,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f27,f9399]) ).
thf(f121428,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f121423]) ).
thf(f121965,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_173
| ~ spl2_832 ),
inference(constrained_superposition,[],[f110257,f5328]) ).
thf(f121975,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_173
| ~ spl2_832 ),
inference(trivial_inequality_removal,[],[f121965]) ).
thf(f122097,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_170
| ~ spl2_405 ),
inference(constrained_superposition,[],[f26280,f5318]) ).
thf(f122104,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_170
| ~ spl2_405 ),
inference(trivial_inequality_removal,[],[f122097]) ).
thf(f122293,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_169
| ~ spl2_255 ),
inference(constrained_superposition,[],[f118186,f7073]) ).
thf(f122301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_169
| ~ spl2_255 ),
inference(duplicate_literal_removal,[],[f122293]) ).
thf(f122302,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_169
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f122301]) ).
thf(f122305,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_169
| ~ spl2_255
| ~ spl2_442 ),
inference(constrained_superposition,[],[f122302,f33508]) ).
thf(f122310,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_169
| ~ spl2_255
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f122305]) ).
thf(f122317,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_169
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f122310,f5753]) ).
thf(f122319,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_169
| ~ spl2_208
| ~ spl2_211
| ~ spl2_255
| ~ spl2_442 ),
inference(constrained_superposition,[],[f122317,f5764]) ).
thf(f122320,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_169
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(constrained_superposition,[],[f122317,f50]) ).
thf(f122321,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_169
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(constrained_superposition,[],[f122317,f33508]) ).
thf(f122327,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_169
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f122320]) ).
thf(f122328,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_169
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f122321]) ).
thf(f122330,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_169
| ~ spl2_208
| ~ spl2_211
| ~ spl2_255
| ~ spl2_442 ),
inference(trivial_inequality_removal,[],[f122319]) ).
thf(f122333,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_110
| ~ spl2_169
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f122327,f2965]) ).
thf(f122334,plain,
( $false
| ~ spl2_169
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f122328,f7073]) ).
thf(f122335,plain,
( ~ spl2_169
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f122334]) ).
thf(f122336,plain,
( $false
| ~ spl2_110
| ~ spl2_169
| ~ spl2_208
| ~ spl2_211
| ~ spl2_255
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f122330,f2965]) ).
thf(f122337,plain,
( ~ spl2_110
| ~ spl2_169
| ~ spl2_208
| ~ spl2_211
| ~ spl2_255
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f122336]) ).
thf(f122338,plain,
( $false
| ~ spl2_110
| ~ spl2_169
| spl2_203
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(forward_subsumption_resolution,[],[f122333,f5735]) ).
thf(f122339,plain,
( ~ spl2_110
| ~ spl2_169
| spl2_203
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(avatar_contradiction_clause,[],[f122338]) ).
thf(f122340,plain,
( ~ spl2_246
| spl2_486
| ~ spl2_170
| ~ spl2_405 ),
inference(avatar_split_clause,[],[f122104,f26279,f5317,f38187,f6697]) ).
thf(f122341,plain,
( spl2_777
| ~ spl2_208
| ~ spl2_173
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f121242,f6474,f5327,f5752,f87563]) ).
thf(f122342,plain,
( spl2_261
| ~ spl2_246
| ~ spl2_173
| ~ spl2_832 ),
inference(avatar_split_clause,[],[f121975,f110256,f5327,f6697,f7553]) ).
thf(f122369,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_176 ),
inference(constrained_superposition,[],[f5375,f29]) ).
thf(f122373,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_176 ),
inference(trivial_inequality_removal,[],[f122369]) ).
thf(f122376,plain,
( spl2_188
| spl2_193
| spl2_176 ),
inference(avatar_split_clause,[],[f122373,f5374,f5554,f5498]) ).
thf(f122385,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_206 ),
inference(constrained_superposition,[],[f692,f5746]) ).
thf(f122396,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_206 ),
inference(constrained_superposition,[],[f27,f5746]) ).
thf(f122397,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_47
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f122385]) ).
thf(f122402,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f122396]) ).
thf(f122410,plain,
( spl2_852
| ~ spl2_47
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f122397,f5745,f691,f119965]) ).
thf(f122557,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_181
| ~ spl2_371 ),
inference(constrained_superposition,[],[f121428,f20310]) ).
thf(f122566,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_371
| ~ spl2_818 ),
inference(constrained_superposition,[],[f104205,f20310]) ).
thf(f122573,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_371
| ~ spl2_818 ),
inference(trivial_inequality_removal,[],[f122566]) ).
thf(f122586,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_181
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f122557]) ).
thf(f122588,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_181
| ~ spl2_371
| ~ spl2_818 ),
inference(forward_subsumption_resolution,[],[f122573,f9399]) ).
thf(f122590,plain,
( spl2_740
| ~ spl2_181
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f122586,f20309,f5428,f74894]) ).
thf(f122591,plain,
( $false
| ~ spl2_181
| ~ spl2_188
| ~ spl2_371
| ~ spl2_818 ),
inference(forward_subsumption_resolution,[],[f122588,f5499]) ).
thf(f122592,plain,
( ~ spl2_181
| ~ spl2_188
| ~ spl2_371
| ~ spl2_818 ),
inference(avatar_contradiction_clause,[],[f122591]) ).
thf(f122614,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_261 ),
inference(constrained_superposition,[],[f7554,f50]) ).
thf(f122624,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f122614]) ).
thf(f122627,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 ) )
| ~ spl2_40
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f122624,f2064]) ).
thf(f122630,plain,
( $false
| ~ spl2_40
| spl2_203
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f122627,f5735]) ).
thf(f122631,plain,
( ~ spl2_40
| spl2_203
| ~ spl2_261 ),
inference(avatar_contradiction_clause,[],[f122630]) ).
thf(f122662,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f28,f61114]) ).
thf(f122677,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f122662]) ).
thf(f122711,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f28,f61118]) ).
thf(f122729,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f122711]) ).
thf(f122818,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_355
| ~ spl2_847 ),
inference(constrained_superposition,[],[f116037,f18373]) ).
thf(f122824,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_355
| ~ spl2_847 ),
inference(trivial_inequality_removal,[],[f122818]) ).
thf(f122825,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_188
| ~ spl2_355
| ~ spl2_847 ),
inference(forward_subsumption_resolution,[],[f122824,f5499]) ).
thf(f122826,plain,
( $false
| ~ spl2_181
| ~ spl2_188
| ~ spl2_355
| ~ spl2_847 ),
inference(forward_subsumption_resolution,[],[f122825,f9399]) ).
thf(f122827,plain,
( ~ spl2_181
| ~ spl2_188
| ~ spl2_355
| ~ spl2_847 ),
inference(avatar_contradiction_clause,[],[f122826]) ).
thf(f122959,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_587 ),
inference(constrained_superposition,[],[f122729,f51]) ).
thf(f122973,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_587 ),
inference(trivial_inequality_removal,[],[f122959]) ).
thf(f122977,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_249
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f122973,f7326]) ).
thf(f122978,plain,
( spl2_182
| ~ spl2_183
| spl2_249
| ~ spl2_587 ),
inference(avatar_split_clause,[],[f122977,f61117,f6714,f5480,f5475]) ).
thf(f123012,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f122677,f51]) ).
thf(f123016,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f122677,f187]) ).
thf(f123021,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f123012]) ).
thf(f123024,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f123016]) ).
thf(f123029,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_249
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f123021,f7326]) ).
thf(f123030,plain,
( spl2_216
| ~ spl2_183
| spl2_249
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f123029,f61113,f6714,f5480,f5854]) ).
thf(f123326,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_206
| ~ spl2_246 ),
inference(constrained_superposition,[],[f122402,f6698]) ).
thf(f123331,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_206
| ~ spl2_246 ),
inference(duplicate_literal_removal,[],[f123326]) ).
thf(f123332,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_206
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f123331]) ).
thf(f126898,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_208
| ~ spl2_645 ),
inference(constrained_superposition,[],[f13433,f63898]) ).
thf(f126900,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_234
| ~ spl2_645 ),
inference(constrained_superposition,[],[f72809,f63898]) ).
thf(f126901,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_92
| ~ spl2_645 ),
inference(constrained_superposition,[],[f11200,f63898]) ).
thf(f126902,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_84
| ~ spl2_645 ),
inference(constrained_superposition,[],[f11201,f63898]) ).
thf(f126925,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_369
| ~ spl2_645 ),
inference(constrained_superposition,[],[f20215,f63898]) ).
thf(f126935,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_206
| ~ spl2_246
| ~ spl2_645 ),
inference(constrained_superposition,[],[f123332,f63898]) ).
thf(f126960,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_645 ),
inference(constrained_superposition,[],[f632,f63898]) ).
thf(f126965,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_47
| ~ spl2_645 ),
inference(constrained_superposition,[],[f692,f63898]) ).
thf(f126972,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_645 ),
inference(trivial_inequality_removal,[],[f126965]) ).
thf(f126982,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_206
| ~ spl2_246
| ~ spl2_645 ),
inference(trivial_inequality_removal,[],[f126935]) ).
thf(f126999,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_84
| ~ spl2_645 ),
inference(trivial_inequality_removal,[],[f126902]) ).
thf(f127019,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_208
| ~ spl2_645 ),
inference(trivial_inequality_removal,[],[f126898]) ).
thf(f127020,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_234
| ~ spl2_645 ),
inference(trivial_inequality_removal,[],[f126900]) ).
thf(f127032,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44
| ~ spl2_645 ),
inference(trivial_inequality_removal,[],[f126960]) ).
thf(f127044,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_92
| ~ spl2_645 ),
inference(trivial_inequality_removal,[],[f126901]) ).
thf(f127047,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_369
| ~ spl2_645 ),
inference(trivial_inequality_removal,[],[f126925]) ).
thf(f127050,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_47
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f126972,f41]) ).
thf(f127052,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_206
| ~ spl2_246
| spl2_249
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f126982,f7326]) ).
thf(f127054,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_84
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f126999,f41]) ).
thf(f127058,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_208
| spl2_249
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f127019,f7326]) ).
thf(f127059,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_234
| spl2_278
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f127020,f73780]) ).
thf(f127060,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| spl2_308
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f127032,f10904]) ).
thf(f127062,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_92
| spl2_308
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f127044,f10904]) ).
thf(f127063,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_249
| ~ spl2_369
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f127047,f7326]) ).
thf(f127064,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_47
| spl2_149
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f127050,f4033]) ).
thf(f127066,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94
| ~ spl2_206
| ~ spl2_246
| spl2_249
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f127052,f2532]) ).
thf(f127068,plain,
( $false
| spl2_84
| spl2_149
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f127054,f4033]) ).
thf(f127069,plain,
( spl2_84
| spl2_149
| ~ spl2_645 ),
inference(avatar_contradiction_clause,[],[f127068]) ).
thf(f127076,plain,
( spl2_193
| spl2_208
| spl2_249
| ~ spl2_645 ),
inference(avatar_split_clause,[],[f127058,f63897,f6714,f5752,f5554]) ).
thf(f127077,plain,
( $false
| spl2_93
| spl2_234
| spl2_278
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f127059,f61055]) ).
thf(f127078,plain,
( spl2_93
| spl2_234
| spl2_278
| ~ spl2_645 ),
inference(avatar_contradiction_clause,[],[f127077]) ).
thf(f127079,plain,
( spl2_21
| spl2_346
| ~ spl2_44
| spl2_308
| ~ spl2_645 ),
inference(avatar_split_clause,[],[f127060,f63897,f10829,f631,f16859,f249]) ).
thf(f127081,plain,
( spl2_21
| spl2_92
| spl2_308
| ~ spl2_645 ),
inference(avatar_split_clause,[],[f127062,f63897,f10829,f2448,f249]) ).
thf(f127082,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_94
| spl2_249
| ~ spl2_369
| ~ spl2_645 ),
inference(forward_subsumption_resolution,[],[f127063,f2532]) ).
thf(f127083,plain,
( spl2_345
| ~ spl2_47
| spl2_149
| ~ spl2_645 ),
inference(avatar_split_clause,[],[f127064,f63897,f4018,f691,f16019]) ).
thf(f127084,plain,
( spl2_353
| spl2_193
| ~ spl2_94
| ~ spl2_206
| ~ spl2_246
| spl2_249
| ~ spl2_645 ),
inference(avatar_split_clause,[],[f127066,f63897,f6714,f6697,f5745,f2531,f5554,f17771]) ).
thf(f127087,plain,
( spl2_754
| spl2_193
| ~ spl2_94
| spl2_249
| ~ spl2_369
| ~ spl2_645 ),
inference(avatar_split_clause,[],[f127082,f63897,f20214,f6714,f2531,f5554,f80768]) ).
thf(f127275,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_16
| spl2_140 ),
inference(constrained_superposition,[],[f26276,f217]) ).
thf(f127276,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16
| spl2_178 ),
inference(constrained_superposition,[],[f8375,f217]) ).
thf(f127282,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16
| ~ spl2_363 ),
inference(constrained_superposition,[],[f19270,f217]) ).
thf(f127364,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_16
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f127282]) ).
thf(f127394,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_16
| spl2_140 ),
inference(trivial_inequality_removal,[],[f127275]) ).
thf(f127413,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16
| spl2_178 ),
inference(trivial_inequality_removal,[],[f127276]) ).
thf(f127433,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_16
| spl2_132
| ~ spl2_363 ),
inference(forward_subsumption_resolution,[],[f127364,f8373]) ).
thf(f127434,plain,
( $false
| ~ spl2_16
| spl2_140
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f127394,f73780]) ).
thf(f127435,plain,
( ~ spl2_16
| spl2_140
| spl2_278 ),
inference(avatar_contradiction_clause,[],[f127434]) ).
thf(f127436,plain,
( $false
| ~ spl2_16
| spl2_132
| spl2_178 ),
inference(forward_subsumption_resolution,[],[f127413,f8373]) ).
thf(f127437,plain,
( ~ spl2_16
| spl2_132
| spl2_178 ),
inference(avatar_contradiction_clause,[],[f127436]) ).
thf(f127439,plain,
( spl2_346
| ~ spl2_16
| spl2_132
| ~ spl2_363 ),
inference(avatar_split_clause,[],[f127433,f19269,f3406,f216,f16859]) ).
thf(f127687,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_18
| spl2_140 ),
inference(constrained_superposition,[],[f26276,f224]) ).
thf(f127799,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_18
| spl2_140 ),
inference(trivial_inequality_removal,[],[f127687]) ).
thf(f127846,plain,
( $false
| ~ spl2_18
| spl2_140
| spl2_244 ),
inference(forward_subsumption_resolution,[],[f127799,f12690]) ).
thf(f127847,plain,
( ~ spl2_18
| spl2_140
| spl2_244 ),
inference(avatar_contradiction_clause,[],[f127846]) ).
thf(f127856,plain,
( spl2_198
| spl2_217
| ~ spl2_477
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f123024,f61113,f36656,f5858,f5717]) ).
thf(f127862,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_14 ),
inference(constrained_superposition,[],[f210,f29]) ).
thf(f127864,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_14 ),
inference(trivial_inequality_removal,[],[f127862]) ).
thf(f127867,plain,
( spl2_21
| spl2_20
| spl2_14 ),
inference(avatar_split_clause,[],[f127864,f209,f246,f249]) ).
thf(f128013,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_206
| ~ spl2_208 ),
inference(constrained_superposition,[],[f122402,f5753]) ).
thf(f128056,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_206
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f128013]) ).
thf(f128059,plain,
( spl2_535
| ~ spl2_206
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f128056,f5752,f5745,f52583]) ).
thf(f128687,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_545 ),
inference(constrained_superposition,[],[f54777,f5328]) ).
thf(f128701,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_173
| ~ spl2_545 ),
inference(trivial_inequality_removal,[],[f128687]) ).
thf(f128705,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| ~ spl2_545 ),
inference(forward_subsumption_resolution,[],[f128701,f41]) ).
thf(f128707,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| spl2_278
| ~ spl2_545 ),
inference(forward_subsumption_resolution,[],[f128705,f73780]) ).
thf(f128709,plain,
( $false
| ~ spl2_173
| spl2_278
| spl2_299
| ~ spl2_545 ),
inference(forward_subsumption_resolution,[],[f128707,f31594]) ).
thf(f128710,plain,
( ~ spl2_173
| spl2_278
| spl2_299
| ~ spl2_545 ),
inference(avatar_contradiction_clause,[],[f128709]) ).
thf(f128739,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_301
| ~ spl2_703 ),
inference(constrained_superposition,[],[f24914,f72891]) ).
thf(f128740,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_204
| ~ spl2_703 ),
inference(constrained_superposition,[],[f11315,f72891]) ).
thf(f128741,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_202
| ~ spl2_703 ),
inference(constrained_superposition,[],[f9495,f72891]) ).
thf(f128751,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_363
| ~ spl2_703 ),
inference(constrained_superposition,[],[f19270,f72891]) ).
thf(f128847,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_301
| ~ spl2_703 ),
inference(trivial_inequality_removal,[],[f128739]) ).
thf(f128860,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_363
| ~ spl2_703 ),
inference(trivial_inequality_removal,[],[f128751]) ).
thf(f128881,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_204
| ~ spl2_703 ),
inference(trivial_inequality_removal,[],[f128740]) ).
thf(f128912,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_202
| ~ spl2_703 ),
inference(trivial_inequality_removal,[],[f128741]) ).
thf(f128921,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_132
| spl2_301
| ~ spl2_703 ),
inference(forward_subsumption_resolution,[],[f128847,f8373]) ).
thf(f128922,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_132
| ~ spl2_363
| ~ spl2_703 ),
inference(forward_subsumption_resolution,[],[f128860,f8373]) ).
thf(f128924,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_83
| spl2_204
| ~ spl2_703 ),
inference(forward_subsumption_resolution,[],[f128881,f5264]) ).
thf(f128928,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_149
| spl2_202
| ~ spl2_703 ),
inference(forward_subsumption_resolution,[],[f128912,f4033]) ).
thf(f128932,plain,
( $false
| spl2_93
| spl2_132
| spl2_301
| ~ spl2_703 ),
inference(forward_subsumption_resolution,[],[f128921,f61055]) ).
thf(f128933,plain,
( spl2_93
| spl2_132
| spl2_301
| ~ spl2_703 ),
inference(avatar_contradiction_clause,[],[f128932]) ).
thf(f128934,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_93
| spl2_132
| ~ spl2_363
| ~ spl2_703 ),
inference(forward_subsumption_resolution,[],[f128922,f61055]) ).
thf(f128939,plain,
( $false
| spl2_83
| spl2_204
| spl2_308
| ~ spl2_703 ),
inference(forward_subsumption_resolution,[],[f128924,f10904]) ).
thf(f128940,plain,
( spl2_83
| spl2_204
| spl2_308
| ~ spl2_703 ),
inference(avatar_contradiction_clause,[],[f128939]) ).
thf(f128944,plain,
( $false
| spl2_149
| spl2_202
| ~ spl2_703 ),
inference(forward_subsumption_resolution,[],[f128928,f41]) ).
thf(f128945,plain,
( spl2_149
| spl2_202
| ~ spl2_703 ),
inference(avatar_contradiction_clause,[],[f128944]) ).
thf(f128946,plain,
( spl2_471
| spl2_93
| spl2_132
| ~ spl2_363
| ~ spl2_703 ),
inference(avatar_split_clause,[],[f128934,f72890,f19269,f3406,f2451,f36612]) ).
thf(f129596,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_140
| ~ spl2_538 ),
inference(constrained_superposition,[],[f26276,f52605]) ).
thf(f129684,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_140
| ~ spl2_538 ),
inference(trivial_inequality_removal,[],[f129596]) ).
thf(f129741,plain,
( $false
| spl2_139
| spl2_140
| ~ spl2_538 ),
inference(forward_subsumption_resolution,[],[f129684,f3612]) ).
thf(f129742,plain,
( spl2_139
| spl2_140
| ~ spl2_538 ),
inference(avatar_contradiction_clause,[],[f129741]) ).
thf(f130264,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_52
| spl2_180 ),
inference(constrained_superposition,[],[f5426,f801]) ).
thf(f130265,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52
| spl2_202 ),
inference(constrained_superposition,[],[f9495,f801]) ).
thf(f130266,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_52
| spl2_84 ),
inference(constrained_superposition,[],[f11201,f801]) ).
thf(f130324,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_52
| spl2_84 ),
inference(trivial_inequality_removal,[],[f130266]) ).
thf(f130329,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52
| spl2_202 ),
inference(trivial_inequality_removal,[],[f130265]) ).
thf(f130333,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_52
| spl2_180 ),
inference(trivial_inequality_removal,[],[f130264]) ).
thf(f130377,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_52
| spl2_84
| spl2_132 ),
inference(forward_subsumption_resolution,[],[f130324,f8373]) ).
thf(f130378,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52
| spl2_202
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f130329,f73780]) ).
thf(f130379,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_52
| spl2_180
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f130333,f8057]) ).
thf(f130384,plain,
( spl2_21
| ~ spl2_52
| spl2_84
| spl2_132 ),
inference(avatar_split_clause,[],[f130377,f3406,f2310,f800,f249]) ).
thf(f130385,plain,
( $false
| ~ spl2_52
| spl2_83
| spl2_202
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f130378,f5264]) ).
thf(f130386,plain,
( ~ spl2_52
| spl2_83
| spl2_202
| spl2_278 ),
inference(avatar_contradiction_clause,[],[f130385]) ).
thf(f130387,plain,
( spl2_192
| ~ spl2_52
| spl2_180
| spl2_269 ),
inference(avatar_split_clause,[],[f130379,f8056,f5425,f800,f5522]) ).
thf(f130544,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_131
| spl2_234 ),
inference(constrained_superposition,[],[f72809,f3399]) ).
thf(f130599,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_131
| ~ spl2_455 ),
inference(constrained_superposition,[],[f35954,f3399]) ).
thf(f130630,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_131
| spl2_234 ),
inference(trivial_inequality_removal,[],[f130544]) ).
thf(f130638,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_131
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f130599]) ).
thf(f130693,plain,
( $false
| ~ spl2_131
| spl2_234
| spl2_278 ),
inference(forward_subsumption_resolution,[],[f130630,f73780]) ).
thf(f130694,plain,
( ~ spl2_131
| spl2_234
| spl2_278 ),
inference(avatar_contradiction_clause,[],[f130693]) ).
thf(f130695,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_131
| spl2_278
| ~ spl2_455 ),
inference(forward_subsumption_resolution,[],[f130638,f73780]) ).
thf(f130697,plain,
( spl2_471
| ~ spl2_131
| spl2_278
| ~ spl2_455 ),
inference(avatar_split_clause,[],[f130695,f35953,f9002,f3398,f36612]) ).
thf(f130719,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_307
| ~ spl2_787 ),
inference(constrained_superposition,[],[f18677,f94282]) ).
thf(f130720,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_301
| ~ spl2_787 ),
inference(constrained_superposition,[],[f24914,f94282]) ).
thf(f130787,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_307
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f130719]) ).
thf(f130821,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_301
| ~ spl2_787 ),
inference(trivial_inequality_removal,[],[f130720]) ).
thf(f130834,plain,
( $false
| spl2_249
| spl2_307
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f130787,f7326]) ).
thf(f130835,plain,
( spl2_249
| spl2_307
| ~ spl2_787 ),
inference(avatar_contradiction_clause,[],[f130834]) ).
thf(f130837,plain,
( $false
| spl2_278
| spl2_301
| ~ spl2_787 ),
inference(forward_subsumption_resolution,[],[f130821,f73780]) ).
thf(f130838,plain,
( spl2_278
| spl2_301
| ~ spl2_787 ),
inference(avatar_contradiction_clause,[],[f130837]) ).
thf(f131414,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_193 ),
inference(avatar_component_clause,[],[f5554]) ).
thf(f131482,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_193 ),
inference(extensionality_resolution,[],[f78,f131414]) ).
thf(f131504,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_193
| spl2_448 ),
inference(forward_subsumption_resolution,[],[f131482,f34112]) ).
thf(f131661,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_193
| spl2_448 ),
inference(constrained_superposition,[],[f55512,f131504]) ).
thf(f131695,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_193
| spl2_448 ),
inference(trivial_inequality_removal,[],[f131661]) ).
thf(f131713,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ) )
| spl2_193
| spl2_301
| spl2_448 ),
inference(forward_subsumption_resolution,[],[f131695,f24914]) ).
thf(f131726,plain,
( ~ spl2_484
| spl2_800
| spl2_193
| spl2_301
| spl2_448 ),
inference(avatar_split_clause,[],[f131713,f34111,f10415,f5554,f100231,f37638]) ).
thf(f131955,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_337
| ~ spl2_448 ),
inference(constrained_superposition,[],[f13980,f95065]) ).
thf(f131972,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_337
| ~ spl2_448 ),
inference(trivial_inequality_removal,[],[f131955]) ).
thf(f131993,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_337
| ~ spl2_428
| ~ spl2_448 ),
inference(forward_subsumption_resolution,[],[f131972,f36541]) ).
thf(f131997,plain,
( spl2_767
| ~ spl2_337
| ~ spl2_428
| ~ spl2_448 ),
inference(avatar_split_clause,[],[f131993,f34111,f31765,f13979,f86719]) ).
thf(f138811,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_588 ),
inference(avatar_component_clause,[],[f61120]) ).
thf(f142147,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f5371,f51]) ).
thf(f142149,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f5371,f76]) ).
thf(f142153,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_175
| ~ spl2_586 ),
inference(constrained_superposition,[],[f5371,f61114]) ).
thf(f142156,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_175
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f142153]) ).
thf(f142157,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f142147]) ).
thf(f142162,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f142149]) ).
thf(f142164,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_175
| spl2_307
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f142156,f18677]) ).
thf(f142165,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_132
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f142157,f8373]) ).
thf(f142167,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_94
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f142162,f17773]) ).
thf(f142168,plain,
( spl2_306
| ~ spl2_175
| spl2_307
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f142164,f61113,f10720,f5370,f10717]) ).
thf(f142169,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_132
| ~ spl2_175
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f142165,f8057]) ).
thf(f142171,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_94
| ~ spl2_175
| spl2_254 ),
inference(forward_subsumption_resolution,[],[f142167,f7902]) ).
thf(f142172,plain,
( $false
| spl2_132
| ~ spl2_175
| spl2_269 ),
inference(forward_subsumption_resolution,[],[f142169,f41]) ).
thf(f142173,plain,
( spl2_132
| ~ spl2_175
| spl2_269 ),
inference(avatar_contradiction_clause,[],[f142172]) ).
thf(f142174,plain,
( $false
| spl2_83
| spl2_94
| ~ spl2_175
| spl2_254 ),
inference(forward_subsumption_resolution,[],[f142171,f5264]) ).
thf(f142175,plain,
( spl2_83
| spl2_94
| ~ spl2_175
| spl2_254 ),
inference(avatar_contradiction_clause,[],[f142174]) ).
thf(f142241,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_588
| ~ spl2_629 ),
inference(constrained_superposition,[],[f138811,f63711]) ).
thf(f142242,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_180
| ~ spl2_629 ),
inference(constrained_superposition,[],[f5426,f63711]) ).
thf(f142382,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_180
| ~ spl2_629 ),
inference(trivial_inequality_removal,[],[f142242]) ).
thf(f142428,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| spl2_588
| ~ spl2_629 ),
inference(trivial_inequality_removal,[],[f142241]) ).
thf(f142478,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_149
| spl2_180
| ~ spl2_629 ),
inference(forward_subsumption_resolution,[],[f142382,f4033]) ).
thf(f142487,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_249
| spl2_588
| ~ spl2_629 ),
inference(forward_subsumption_resolution,[],[f142428,f7326]) ).
thf(f142508,plain,
( $false
| spl2_149
| spl2_180
| ~ spl2_629 ),
inference(forward_subsumption_resolution,[],[f142478,f41]) ).
thf(f142509,plain,
( spl2_149
| spl2_180
| ~ spl2_629 ),
inference(avatar_contradiction_clause,[],[f142508]) ).
thf(f142521,plain,
( spl2_356
| spl2_249
| spl2_588
| ~ spl2_629 ),
inference(avatar_split_clause,[],[f142487,f63710,f61120,f6714,f18375]) ).
thf(f142604,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_120
| spl2_234 ),
inference(constrained_superposition,[],[f72809,f3317]) ).
thf(f142687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_120
| ~ spl2_455 ),
inference(constrained_superposition,[],[f35954,f3317]) ).
thf(f142751,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_120
| ~ spl2_455 ),
inference(trivial_inequality_removal,[],[f142687]) ).
thf(f142768,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_120
| spl2_234 ),
inference(trivial_inequality_removal,[],[f142604]) ).
thf(f142822,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_120
| spl2_244
| ~ spl2_455 ),
inference(forward_subsumption_resolution,[],[f142751,f12690]) ).
thf(f142824,plain,
( $false
| ~ spl2_120
| spl2_234
| spl2_244 ),
inference(forward_subsumption_resolution,[],[f142768,f12690]) ).
thf(f142825,plain,
( ~ spl2_120
| spl2_234
| spl2_244 ),
inference(avatar_contradiction_clause,[],[f142824]) ).
thf(f142834,plain,
( spl2_471
| ~ spl2_120
| spl2_244
| ~ spl2_455 ),
inference(avatar_split_clause,[],[f142822,f35953,f6684,f3316,f36612]) ).
cnf(s4,plain,
( spl2_8
| spl2_9
| ~ spl2_10 ),
inference(sat_conversion,[],[f125]) ).
cnf(s7,plain,
( spl2_15
| spl2_16
| ~ spl2_17 ),
inference(sat_conversion,[],[f221]) ).
cnf(s8,plain,
( ~ spl2_14
| spl2_18
| spl2_19 ),
inference(sat_conversion,[],[f228]) ).
cnf(s9,plain,
( spl2_14
| spl2_20
| spl2_21 ),
inference(sat_conversion,[],[f251]) ).
cnf(s11,plain,
( ~ spl2_22
| spl2_23
| spl2_24 ),
inference(sat_conversion,[],[f279]) ).
cnf(s12,plain,
( spl2_18
| spl2_19
| ~ spl2_25 ),
inference(sat_conversion,[],[f283]) ).
cnf(s13,plain,
( spl2_15
| spl2_16
| ~ spl2_26 ),
inference(sat_conversion,[],[f287]) ).
cnf(s14,plain,
( spl2_20
| spl2_27 ),
inference(sat_conversion,[],[f345]) ).
cnf(s18,plain,
( spl2_4
| spl2_7
| ~ spl2_20
| spl2_30
| ~ spl2_31 ),
inference(sat_conversion,[],[f381]) ).
cnf(s19,plain,
( spl2_4
| spl2_7
| spl2_17
| ~ spl2_18
| spl2_32 ),
inference(sat_conversion,[],[f386]) ).
cnf(s20,plain,
( spl2_17
| spl2_26
| spl2_33 ),
inference(sat_conversion,[],[f390]) ).
cnf(s22,plain,
( spl2_17
| spl2_31 ),
inference(sat_conversion,[],[f395]) ).
cnf(s23,plain,
( spl2_4
| spl2_7
| ~ spl2_20
| spl2_26
| spl2_30 ),
inference(sat_conversion,[],[f410]) ).
cnf(s24,plain,
( ~ spl2_18
| spl2_34
| spl2_35 ),
inference(sat_conversion,[],[f417]) ).
cnf(s26,plain,
( ~ spl2_4
| ~ spl2_15
| spl2_29 ),
inference(sat_conversion,[],[f423]) ).
cnf(s27,plain,
( spl2_4
| spl2_7
| spl2_37 ),
inference(sat_conversion,[],[f427]) ).
cnf(s28,plain,
( spl2_4
| spl2_7
| spl2_38 ),
inference(sat_conversion,[],[f431]) ).
cnf(s32,plain,
( spl2_25
| spl2_29 ),
inference(sat_conversion,[],[f565]) ).
cnf(s33,plain,
( spl2_21
| spl2_25
| spl2_29 ),
inference(sat_conversion,[],[f566]) ).
cnf(s35,plain,
( spl2_7
| ~ spl2_20
| spl2_26
| ~ spl2_29 ),
inference(sat_conversion,[],[f591]) ).
cnf(s43,plain,
( ~ spl2_16
| ~ spl2_19
| spl2_44
| spl2_52 ),
inference(sat_conversion,[],[f802]) ).
cnf(s44,plain,
( ~ spl2_16
| ~ spl2_19
| spl2_44
| spl2_53 ),
inference(sat_conversion,[],[f806]) ).
cnf(s45,plain,
( ~ spl2_5
| spl2_47
| ~ spl2_53
| spl2_54 ),
inference(sat_conversion,[],[f822]) ).
cnf(s67,plain,
( spl2_17
| spl2_26
| spl2_38 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s72,plain,
( spl2_17
| ~ spl2_20
| ~ spl2_38
| ~ spl2_40 ),
inference(sat_conversion,[],[f2063]) ).
cnf(s73,plain,
( spl2_40
| spl2_74 ),
inference(sat_conversion,[],[f2068]) ).
cnf(s78,plain,
( ~ spl2_77
| spl2_78
| spl2_79 ),
inference(sat_conversion,[],[f2289]) ).
cnf(s90,plain,
( spl2_75
| spl2_83
| spl2_84 ),
inference(sat_conversion,[],[f2371]) ).
cnf(s91,plain,
( spl2_75
| spl2_84 ),
inference(sat_conversion,[],[f2373]) ).
cnf(s98,plain,
( spl2_77
| spl2_92 ),
inference(sat_conversion,[],[f2454]) ).
cnf(s118,plain,
( ~ spl2_31
| ~ spl2_38
| ~ spl2_92
| spl2_98 ),
inference(sat_conversion,[],[f2726]) ).
cnf(s120,plain,
( spl2_31
| spl2_100 ),
inference(sat_conversion,[],[f2738]) ).
cnf(s121,plain,
( spl2_26
| ~ spl2_44
| ~ spl2_92
| spl2_98 ),
inference(sat_conversion,[],[f2739]) ).
cnf(s123,plain,
( ~ spl2_4
| ~ spl2_20
| spl2_21
| spl2_31
| spl2_102
| spl2_103 ),
inference(sat_conversion,[],[f2753]) ).
cnf(s129,plain,
( ~ spl2_18
| spl2_44
| ~ spl2_92
| spl2_94 ),
inference(sat_conversion,[],[f2765]) ).
cnf(s147,plain,
( ~ spl2_18
| spl2_26
| spl2_30
| spl2_94
| ~ spl2_113 ),
inference(sat_conversion,[],[f3144]) ).
cnf(s153,plain,
( spl2_78
| spl2_79
| ~ spl2_117 ),
inference(sat_conversion,[],[f3308]) ).
cnf(s154,plain,
( spl2_118
| ~ spl2_119
| spl2_120 ),
inference(sat_conversion,[],[f3318]) ).
cnf(s155,plain,
( ~ spl2_121
| spl2_122
| spl2_123 ),
inference(sat_conversion,[],[f3328]) ).
cnf(s156,plain,
( spl2_83
| spl2_94
| spl2_119 ),
inference(sat_conversion,[],[f3335]) ).
cnf(s161,plain,
( ~ spl2_38
| ~ spl2_40
| ~ spl2_84
| spl2_98 ),
inference(sat_conversion,[],[f3359]) ).
cnf(s165,plain,
( ~ spl2_20
| spl2_26
| ~ spl2_84
| ~ spl2_110
| spl2_126 ),
inference(sat_conversion,[],[f3373]) ).
cnf(s168,plain,
( ~ spl2_128
| spl2_130
| spl2_131 ),
inference(sat_conversion,[],[f3400]) ).
cnf(s170,plain,
( ~ spl2_5
| spl2_47
| ~ spl2_84
| spl2_132 ),
inference(sat_conversion,[],[f3408]) ).
cnf(s172,plain,
( ~ spl2_98
| spl2_130
| spl2_131 ),
inference(sat_conversion,[],[f3412]) ).
cnf(s186,plain,
( spl2_98
| spl2_110 ),
inference(sat_conversion,[],[f3458]) ).
cnf(s201,plain,
( spl2_128
| spl2_132 ),
inference(sat_conversion,[],[f3645]) ).
cnf(s207,plain,
( ~ spl2_5
| ~ spl2_16
| spl2_54
| ~ spl2_67 ),
inference(sat_conversion,[],[f3729]) ).
cnf(s225,plain,
( spl2_26
| ~ spl2_31
| spl2_38 ),
inference(sat_conversion,[],[f3776]) ).
cnf(s226,plain,
( ~ spl2_18
| ~ spl2_31
| ~ spl2_38
| spl2_99 ),
inference(sat_conversion,[],[f3795]) ).
cnf(s229,plain,
( spl2_7
| ~ spl2_47
| spl2_144 ),
inference(sat_conversion,[],[f3905]) ).
cnf(s230,plain,
( ~ spl2_75
| spl2_118
| spl2_120 ),
inference(sat_conversion,[],[f3906]) ).
cnf(s233,plain,
( spl2_94
| ~ spl2_99
| ~ spl2_110 ),
inference(sat_conversion,[],[f3920]) ).
cnf(s234,plain,
( spl2_34
| ~ spl2_99 ),
inference(sat_conversion,[],[f3921]) ).
cnf(s236,plain,
( spl2_17
| ~ spl2_18
| ~ spl2_38
| spl2_99 ),
inference(sat_conversion,[],[f3929]) ).
cnf(s241,plain,
( ~ spl2_20
| spl2_26
| ~ spl2_144 ),
inference(sat_conversion,[],[f3984]) ).
cnf(s243,plain,
( spl2_7
| ~ spl2_20
| ~ spl2_30 ),
inference(sat_conversion,[],[f4011]) ).
cnf(s244,plain,
( ~ spl2_5
| ~ spl2_18
| ~ spl2_30
| spl2_66 ),
inference(sat_conversion,[],[f4013]) ).
cnf(s245,plain,
( ~ spl2_4
| spl2_148
| spl2_149 ),
inference(sat_conversion,[],[f4020]) ).
cnf(s247,plain,
( spl2_26
| ~ spl2_43
| ~ spl2_149
| spl2_152 ),
inference(sat_conversion,[],[f4034]) ).
cnf(s251,plain,
( ~ spl2_4
| spl2_149
| spl2_155 ),
inference(sat_conversion,[],[f4049]) ).
cnf(s252,plain,
( spl2_149
| spl2_156 ),
inference(sat_conversion,[],[f4055]) ).
cnf(s253,plain,
( ~ spl2_7
| spl2_157 ),
inference(sat_conversion,[],[f4059]) ).
cnf(s261,plain,
( ~ spl2_20
| ~ spl2_30
| ~ spl2_149 ),
inference(sat_conversion,[],[f4080]) ).
cnf(s262,plain,
( spl2_40
| spl2_149
| spl2_159 ),
inference(sat_conversion,[],[f4081]) ).
cnf(s263,plain,
( ~ spl2_40
| spl2_90
| ~ spl2_111
| ~ spl2_132 ),
inference(sat_conversion,[],[f4082]) ).
cnf(s264,plain,
( spl2_26
| ~ spl2_40
| spl2_90
| ~ spl2_102 ),
inference(sat_conversion,[],[f4083]) ).
cnf(s267,plain,
( ~ spl2_4
| spl2_143
| spl2_149 ),
inference(sat_conversion,[],[f4091]) ).
cnf(s269,plain,
( spl2_26
| ~ spl2_44
| spl2_161 ),
inference(sat_conversion,[],[f4162]) ).
cnf(s271,plain,
( ~ spl2_19
| spl2_145 ),
inference(sat_conversion,[],[f4216]) ).
cnf(s272,plain,
( ~ spl2_19
| spl2_147 ),
inference(sat_conversion,[],[f4217]) ).
cnf(s275,plain,
( ~ spl2_19
| spl2_103 ),
inference(sat_conversion,[],[f4414]) ).
cnf(s280,plain,
( ~ spl2_19
| spl2_21
| spl2_84
| ~ spl2_110
| ~ spl2_161 ),
inference(sat_conversion,[],[f4654]) ).
cnf(s290,plain,
( spl2_83
| spl2_168
| spl2_169 ),
inference(sat_conversion,[],[f5315]) ).
cnf(s291,plain,
( spl2_83
| spl2_170
| spl2_171 ),
inference(sat_conversion,[],[f5322]) ).
cnf(s292,plain,
( spl2_83
| spl2_172
| spl2_173 ),
inference(sat_conversion,[],[f5329]) ).
cnf(s294,plain,
( spl2_92
| ~ spl2_168
| ~ spl2_176
| spl2_177 ),
inference(sat_conversion,[],[f5379]) ).
cnf(s297,plain,
( ~ spl2_38
| ~ spl2_110
| ~ spl2_156
| ~ spl2_169
| spl2_180
| spl2_182 ),
inference(sat_conversion,[],[f5478]) ).
cnf(s300,plain,
( ~ spl2_4
| ~ spl2_38
| ~ spl2_110
| ~ spl2_169
| spl2_180
| spl2_186
| spl2_187 ),
inference(sat_conversion,[],[f5496]) ).
cnf(s304,plain,
( ~ spl2_19
| ~ spl2_161
| spl2_180
| spl2_191
| spl2_192 ),
inference(sat_conversion,[],[f5524]) ).
cnf(s307,plain,
( spl2_176
| spl2_188 ),
inference(sat_conversion,[],[f5559]) ).
cnf(s309,plain,
( ~ spl2_30
| ~ spl2_132
| ~ spl2_178 ),
inference(sat_conversion,[],[f5603]) ).
cnf(s310,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_84
| ~ spl2_178 ),
inference(sat_conversion,[],[f5605]) ).
cnf(s314,plain,
( spl2_92
| ~ spl2_168
| ~ spl2_176
| spl2_177 ),
inference(sat_conversion,[],[f5648]) ).
cnf(s319,plain,
( ~ spl2_74
| ~ spl2_171
| ~ spl2_201
| spl2_202
| ~ spl2_203 ),
inference(sat_conversion,[],[f5736]) ).
cnf(s320,plain,
( ~ spl2_100
| ~ spl2_171
| ~ spl2_203
| spl2_204
| ~ spl2_205 ),
inference(sat_conversion,[],[f5743]) ).
cnf(s324,plain,
( ~ spl2_4
| ~ spl2_171
| spl2_192
| spl2_202
| spl2_206
| spl2_211
| spl2_212 ),
inference(sat_conversion,[],[f5769]) ).
cnf(s325,plain,
( ~ spl2_4
| ~ spl2_171
| spl2_202
| ~ spl2_203
| spl2_206
| spl2_212 ),
inference(sat_conversion,[],[f5770]) ).
cnf(s330,plain,
( spl2_203
| spl2_211 ),
inference(sat_conversion,[],[f5815]) ).
cnf(s348,plain,
( ~ spl2_47
| ~ spl2_170
| ~ spl2_202
| ~ spl2_206 ),
inference(sat_conversion,[],[f6079]) ).
cnf(s349,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_202
| ~ spl2_204 ),
inference(sat_conversion,[],[f6081]) ).
cnf(s351,plain,
( spl2_139
| ~ spl2_161
| ~ spl2_204 ),
inference(sat_conversion,[],[f6104]) ).
cnf(s352,plain,
( ~ spl2_19
| spl2_83
| spl2_139
| ~ spl2_161
| spl2_202 ),
inference(sat_conversion,[],[f6128]) ).
cnf(s358,plain,
( ~ spl2_170
| spl2_202
| ~ spl2_212 ),
inference(sat_conversion,[],[f6315]) ).
cnf(s360,plain,
( ~ spl2_18
| spl2_29
| spl2_68
| ~ spl2_212 ),
inference(sat_conversion,[],[f6323]) ).
cnf(s362,plain,
( spl2_10
| spl2_150
| ~ spl2_212 ),
inference(sat_conversion,[],[f6329]) ).
cnf(s364,plain,
( spl2_121
| ~ spl2_212
| spl2_232 ),
inference(sat_conversion,[],[f6331]) ).
cnf(s367,plain,
( ~ spl2_5
| spl2_149
| spl2_150
| ~ spl2_212 ),
inference(sat_conversion,[],[f6340]) ).
cnf(s371,plain,
( ~ spl2_4
| spl2_8
| spl2_150
| ~ spl2_212 ),
inference(sat_conversion,[],[f6346]) ).
cnf(s372,plain,
( ~ spl2_17
| spl2_23
| spl2_68
| ~ spl2_212 ),
inference(sat_conversion,[],[f6348]) ).
cnf(s374,plain,
( ~ spl2_19
| spl2_29
| spl2_150
| spl2_186
| ~ spl2_212 ),
inference(sat_conversion,[],[f6351]) ).
cnf(s379,plain,
( ~ spl2_47
| ~ spl2_84
| ~ spl2_202
| ~ spl2_234 ),
inference(sat_conversion,[],[f6481]) ).
cnf(s383,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_20
| spl2_21
| spl2_239 ),
inference(sat_conversion,[],[f6498]) ).
cnf(s394,plain,
( ~ spl2_29
| ~ spl2_44
| spl2_104 ),
inference(sat_conversion,[],[f6546]) ).
cnf(s398,plain,
( spl2_21
| ~ spl2_47
| ~ spl2_105
| spl2_149
| ~ spl2_202
| ~ spl2_204 ),
inference(sat_conversion,[],[f6640]) ).
cnf(s402,plain,
( ~ spl2_104
| ~ spl2_202
| ~ spl2_204 ),
inference(sat_conversion,[],[f6677]) ).
cnf(s405,plain,
( spl2_26
| ~ spl2_104
| ~ spl2_149 ),
inference(sat_conversion,[],[f6691]) ).
cnf(s415,plain,
( ~ spl2_148
| ~ spl2_203
| spl2_206
| spl2_212
| spl2_249 ),
inference(sat_conversion,[],[f6716]) ).
cnf(s416,plain,
( spl2_220
| spl2_249 ),
inference(sat_conversion,[],[f6717]) ).
cnf(s420,plain,
( ~ spl2_38
| ~ spl2_110
| ~ spl2_234
| ~ spl2_250 ),
inference(sat_conversion,[],[f6799]) ).
cnf(s421,plain,
( ~ spl2_38
| spl2_98
| ~ spl2_234
| ~ spl2_250 ),
inference(sat_conversion,[],[f6801]) ).
cnf(s422,plain,
( ~ spl2_6
| ~ spl2_17
| spl2_20 ),
inference(sat_conversion,[],[f6815]) ).
cnf(s423,plain,
( ~ spl2_6
| ~ spl2_203
| spl2_206 ),
inference(sat_conversion,[],[f6817]) ).
cnf(s424,plain,
( ~ spl2_84
| ~ spl2_132
| spl2_142 ),
inference(sat_conversion,[],[f6840]) ).
cnf(s425,plain,
( ~ spl2_110
| spl2_113
| ~ spl2_132 ),
inference(sat_conversion,[],[f6841]) ).
cnf(s427,plain,
( ~ spl2_4
| ~ spl2_216
| spl2_246 ),
inference(sat_conversion,[],[f6915]) ).
cnf(s428,plain,
( ~ spl2_17
| spl2_198
| ~ spl2_216 ),
inference(sat_conversion,[],[f6916]) ).
cnf(s431,plain,
( ~ spl2_19
| ~ spl2_161
| spl2_186
| spl2_206
| ~ spl2_211 ),
inference(sat_conversion,[],[f6937]) ).
cnf(s435,plain,
( ~ spl2_172
| ~ spl2_197
| ~ spl2_205 ),
inference(sat_conversion,[],[f7031]) ).
cnf(s440,plain,
( ~ spl2_38
| ~ spl2_110
| spl2_191
| ~ spl2_255 ),
inference(sat_conversion,[],[f7099]) ).
cnf(s441,plain,
( ~ spl2_38
| spl2_98
| spl2_191
| ~ spl2_255 ),
inference(sat_conversion,[],[f7104]) ).
cnf(s443,plain,
( ~ spl2_38
| ~ spl2_110
| ~ spl2_181
| ~ spl2_255 ),
inference(sat_conversion,[],[f7109]) ).
cnf(s444,plain,
( ~ spl2_38
| spl2_98
| ~ spl2_181
| ~ spl2_255 ),
inference(sat_conversion,[],[f7111]) ).
cnf(s445,plain,
( spl2_181
| spl2_191 ),
inference(sat_conversion,[],[f7117]) ).
cnf(s451,plain,
( ~ spl2_7
| ~ spl2_221
| spl2_249 ),
inference(sat_conversion,[],[f7186]) ).
cnf(s452,plain,
( ~ spl2_15
| ~ spl2_139
| spl2_204 ),
inference(sat_conversion,[],[f7193]) ).
cnf(s453,plain,
( ~ spl2_15
| spl2_188
| ~ spl2_191 ),
inference(sat_conversion,[],[f7195]) ).
cnf(s456,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_29
| spl2_105 ),
inference(sat_conversion,[],[f7200]) ).
cnf(s463,plain,
( spl2_117
| spl2_178 ),
inference(sat_conversion,[],[f7269]) ).
cnf(s467,plain,
( ~ spl2_20
| spl2_65
| ~ spl2_94
| ~ spl2_115 ),
inference(sat_conversion,[],[f7290]) ).
cnf(s468,plain,
( ~ spl2_25
| ~ spl2_217
| spl2_246 ),
inference(sat_conversion,[],[f7307]) ).
cnf(s469,plain,
( ~ spl2_77
| spl2_208
| ~ spl2_217 ),
inference(sat_conversion,[],[f7308]) ).
cnf(s470,plain,
( ~ spl2_170
| ~ spl2_214
| ~ spl2_246
| ~ spl2_249 ),
inference(sat_conversion,[],[f7327]) ).
cnf(s475,plain,
( ~ spl2_18
| spl2_26
| spl2_30
| spl2_246
| ~ spl2_252 ),
inference(sat_conversion,[],[f7422]) ).
cnf(s485,plain,
( ~ spl2_161
| ~ spl2_194
| ~ spl2_211 ),
inference(sat_conversion,[],[f7504]) ).
cnf(s489,plain,
( spl2_26
| ~ spl2_44
| ~ spl2_194
| ~ spl2_249 ),
inference(sat_conversion,[],[f7543]) ).
cnf(s493,plain,
( ~ spl2_70
| spl2_212
| spl2_246
| spl2_249 ),
inference(sat_conversion,[],[f7549]) ).
cnf(s496,plain,
( ~ spl2_102
| ~ spl2_194
| ~ spl2_246
| spl2_261 ),
inference(sat_conversion,[],[f7555]) ).
cnf(s498,plain,
( ~ spl2_90
| ~ spl2_94
| ~ spl2_132 ),
inference(sat_conversion,[],[f7583]) ).
cnf(s502,plain,
( ~ spl2_173
| ~ spl2_244
| ~ spl2_261 ),
inference(sat_conversion,[],[f7640]) ).
cnf(s504,plain,
( spl2_47
| ~ spl2_84
| ~ spl2_94 ),
inference(sat_conversion,[],[f7732]) ).
cnf(s505,plain,
( ~ spl2_19
| spl2_21
| spl2_47
| ~ spl2_94
| spl2_98
| ~ spl2_161 ),
inference(sat_conversion,[],[f7734]) ).
cnf(s506,plain,
( ~ spl2_18
| spl2_94
| ~ spl2_110
| spl2_115 ),
inference(sat_conversion,[],[f7735]) ).
cnf(s507,plain,
( ~ spl2_18
| ~ spl2_84
| spl2_94
| spl2_109 ),
inference(sat_conversion,[],[f7736]) ).
cnf(s508,plain,
( ~ spl2_67
| ~ spl2_254
| ~ spl2_258 ),
inference(sat_conversion,[],[f7757]) ).
cnf(s519,plain,
( ~ spl2_4
| ~ spl2_67
| spl2_181
| spl2_184
| spl2_186
| ~ spl2_258 ),
inference(sat_conversion,[],[f7836]) ).
cnf(s524,plain,
( ~ spl2_4
| ~ spl2_67
| ~ spl2_182
| ~ spl2_258 ),
inference(sat_conversion,[],[f7901]) ).
cnf(s525,plain,
( ~ spl2_102
| ~ spl2_188
| ~ spl2_254
| spl2_264 ),
inference(sat_conversion,[],[f7906]) ).
cnf(s526,plain,
( ~ spl2_17
| ~ spl2_182
| spl2_258 ),
inference(sat_conversion,[],[f7910]) ).
cnf(s528,plain,
( ~ spl2_17
| spl2_179
| ~ spl2_191
| spl2_258 ),
inference(sat_conversion,[],[f7912]) ).
cnf(s529,plain,
( ~ spl2_111
| ~ spl2_169
| ~ spl2_254
| spl2_264 ),
inference(sat_conversion,[],[f7945]) ).
cnf(s532,plain,
( ~ spl2_70
| spl2_83
| ~ spl2_84
| spl2_111
| spl2_132 ),
inference(sat_conversion,[],[f7957]) ).
cnf(s533,plain,
( ~ spl2_70
| spl2_83
| ~ spl2_110
| spl2_132
| spl2_265 ),
inference(sat_conversion,[],[f7958]) ).
cnf(s538,plain,
( ~ spl2_142
| ~ spl2_169
| spl2_268
| ~ spl2_269 ),
inference(sat_conversion,[],[f8058]) ).
cnf(s542,plain,
( spl2_94
| ~ spl2_193
| ~ spl2_246 ),
inference(sat_conversion,[],[f8233]) ).
cnf(s544,plain,
( spl2_92
| ~ spl2_193
| ~ spl2_255 ),
inference(sat_conversion,[],[f8235]) ).
cnf(s545,plain,
( spl2_29
| ~ spl2_193
| ~ spl2_254 ),
inference(sat_conversion,[],[f8237]) ).
cnf(s546,plain,
( spl2_98
| ~ spl2_193
| ~ spl2_203 ),
inference(sat_conversion,[],[f8241]) ).
cnf(s548,plain,
( spl2_26
| ~ spl2_193
| spl2_269 ),
inference(sat_conversion,[],[f8244]) ).
cnf(s549,plain,
( ~ spl2_169
| spl2_178
| ~ spl2_193 ),
inference(sat_conversion,[],[f8245]) ).
cnf(s553,plain,
( ~ spl2_193
| spl2_232
| spl2_233 ),
inference(sat_conversion,[],[f8252]) ).
cnf(s558,plain,
( spl2_121
| ~ spl2_193
| spl2_232 ),
inference(sat_conversion,[],[f8268]) ).
cnf(s565,plain,
( ~ spl2_18
| spl2_30
| ~ spl2_68
| spl2_94
| ~ spl2_115 ),
inference(sat_conversion,[],[f8282]) ).
cnf(s567,plain,
( ~ spl2_14
| ~ spl2_19
| spl2_68
| ~ spl2_193 ),
inference(sat_conversion,[],[f8285]) ).
cnf(s568,plain,
( spl2_68
| ~ spl2_193
| spl2_272 ),
inference(sat_conversion,[],[f8286]) ).
cnf(s569,plain,
( spl2_22
| spl2_68
| ~ spl2_193 ),
inference(sat_conversion,[],[f8287]) ).
cnf(s572,plain,
( ~ spl2_38
| ~ spl2_110
| ~ spl2_208
| ~ spl2_211 ),
inference(sat_conversion,[],[f8296]) ).
cnf(s573,plain,
( ~ spl2_18
| spl2_254
| spl2_258 ),
inference(sat_conversion,[],[f8297]) ).
cnf(s575,plain,
( ~ spl2_18
| spl2_29
| spl2_68
| ~ spl2_193 ),
inference(sat_conversion,[],[f8301]) ).
cnf(s576,plain,
( ~ spl2_17
| spl2_23
| spl2_68
| ~ spl2_193 ),
inference(sat_conversion,[],[f8302]) ).
cnf(s579,plain,
( ~ spl2_132
| ~ spl2_142
| ~ spl2_232
| spl2_238 ),
inference(sat_conversion,[],[f8374]) ).
cnf(s581,plain,
( ~ spl2_38
| ~ spl2_110
| ~ spl2_232 ),
inference(sat_conversion,[],[f8381]) ).
cnf(s582,plain,
( ~ spl2_84
| ~ spl2_110
| ~ spl2_126
| ~ spl2_232 ),
inference(sat_conversion,[],[f8384]) ).
cnf(s583,plain,
( ~ spl2_38
| spl2_98
| ~ spl2_232 ),
inference(sat_conversion,[],[f8386]) ).
cnf(s590,plain,
( ~ spl2_161
| ~ spl2_188
| spl2_191 ),
inference(sat_conversion,[],[f8444]) ).
cnf(s591,plain,
( ~ spl2_152
| ~ spl2_180
| ~ spl2_188
| spl2_191 ),
inference(sat_conversion,[],[f8446]) ).
cnf(s603,plain,
( ~ spl2_65
| ~ spl2_254
| ~ spl2_258
| ~ spl2_269 ),
inference(sat_conversion,[],[f8610]) ).
cnf(s604,plain,
( spl2_47
| ~ spl2_202
| ~ spl2_244 ),
inference(sat_conversion,[],[f8671]) ).
cnf(s622,plain,
( spl2_121
| ~ spl2_192
| spl2_232 ),
inference(sat_conversion,[],[f8870]) ).
cnf(s641,plain,
( ~ spl2_7
| ~ spl2_229
| spl2_278 ),
inference(sat_conversion,[],[f9004]) ).
cnf(s642,plain,
( spl2_26
| ~ spl2_44
| ~ spl2_204
| ~ spl2_278 ),
inference(sat_conversion,[],[f9015]) ).
cnf(s643,plain,
( spl2_7
| spl2_149 ),
inference(sat_conversion,[],[f9021]) ).
cnf(s646,plain,
( spl2_7
| spl2_149 ),
inference(sat_conversion,[],[f9030]) ).
cnf(s650,plain,
( spl2_47
| ~ spl2_180
| ~ spl2_254 ),
inference(sat_conversion,[],[f9086]) ).
cnf(s651,plain,
( spl2_47
| ~ spl2_148
| spl2_181
| spl2_186
| ~ spl2_254
| spl2_269 ),
inference(sat_conversion,[],[f9089]) ).
cnf(s656,plain,
( spl2_180
| spl2_247 ),
inference(sat_conversion,[],[f9096]) ).
cnf(s657,plain,
( ~ spl2_6
| spl2_180
| ~ spl2_191 ),
inference(sat_conversion,[],[f9097]) ).
cnf(s659,plain,
( ~ spl2_148
| spl2_180
| spl2_186
| ~ spl2_191
| spl2_269 ),
inference(sat_conversion,[],[f9099]) ).
cnf(s661,plain,
( ~ spl2_17
| ~ spl2_186
| spl2_203 ),
inference(sat_conversion,[],[f9237]) ).
cnf(s663,plain,
( spl2_29
| ~ spl2_186
| ~ spl2_188 ),
inference(sat_conversion,[],[f9247]) ).
cnf(s666,plain,
( ~ spl2_149
| ~ spl2_186
| spl2_269 ),
inference(sat_conversion,[],[f9265]) ).
cnf(s670,plain,
( ~ spl2_18
| spl2_29
| spl2_68
| ~ spl2_186 ),
inference(sat_conversion,[],[f9273]) ).
cnf(s677,plain,
( spl2_121
| ~ spl2_186
| spl2_232 ),
inference(sat_conversion,[],[f9287]) ).
cnf(s678,plain,
( spl2_10
| spl2_150
| ~ spl2_186 ),
inference(sat_conversion,[],[f9290]) ).
cnf(s680,plain,
( ~ spl2_4
| spl2_8
| spl2_150
| ~ spl2_186 ),
inference(sat_conversion,[],[f9295]) ).
cnf(s681,plain,
( ~ spl2_17
| spl2_23
| spl2_68
| ~ spl2_186 ),
inference(sat_conversion,[],[f9297]) ).
cnf(s682,plain,
( ~ spl2_4
| spl2_40
| spl2_70
| spl2_150
| ~ spl2_186 ),
inference(sat_conversion,[],[f9300]) ).
cnf(s683,plain,
( ~ spl2_4
| spl2_70
| spl2_150
| ~ spl2_186 ),
inference(sat_conversion,[],[f9301]) ).
cnf(s684,plain,
( ~ spl2_19
| spl2_29
| spl2_150
| ~ spl2_186
| spl2_192 ),
inference(sat_conversion,[],[f9302]) ).
cnf(s689,plain,
( ~ spl2_115
| ~ spl2_169
| ~ spl2_258
| spl2_270 ),
inference(sat_conversion,[],[f9356]) ).
cnf(s690,plain,
( ~ spl2_20
| ~ spl2_149
| ~ spl2_180
| ~ spl2_270 ),
inference(sat_conversion,[],[f9392]) ).
cnf(s695,plain,
( ~ spl2_38
| ~ spl2_110
| ~ spl2_169
| spl2_191 ),
inference(sat_conversion,[],[f9416]) ).
cnf(s698,plain,
( ~ spl2_4
| spl2_181
| spl2_184
| spl2_254 ),
inference(sat_conversion,[],[f9422]) ).
cnf(s707,plain,
( ~ spl2_17
| ~ spl2_44
| spl2_78
| ~ spl2_98
| ~ spl2_204
| ~ spl2_234 ),
inference(sat_conversion,[],[f9477]) ).
cnf(s711,plain,
( ~ spl2_18
| spl2_44
| ~ spl2_204
| spl2_244 ),
inference(sat_conversion,[],[f9482]) ).
cnf(s715,plain,
( ~ spl2_7
| ~ spl2_189
| spl2_269 ),
inference(sat_conversion,[],[f9493]) ).
cnf(s718,plain,
( ~ spl2_139
| ~ spl2_159
| spl2_202
| ~ spl2_231 ),
inference(sat_conversion,[],[f9501]) ).
cnf(s720,plain,
( ~ spl2_6
| ~ spl2_139
| spl2_202 ),
inference(sat_conversion,[],[f9503]) ).
cnf(s722,plain,
( ~ spl2_139
| ~ spl2_148
| spl2_192
| spl2_202
| spl2_278 ),
inference(sat_conversion,[],[f9508]) ).
cnf(s724,plain,
( spl2_139
| spl2_250 ),
inference(sat_conversion,[],[f9515]) ).
cnf(s733,plain,
( spl2_231
| spl2_278 ),
inference(sat_conversion,[],[f9565]) ).
cnf(s749,plain,
( ~ spl2_75
| ~ spl2_229
| spl2_234 ),
inference(sat_conversion,[],[f9730]) ).
cnf(s755,plain,
( spl2_84
| ~ spl2_173
| ~ spl2_192 ),
inference(sat_conversion,[],[f9880]) ).
cnf(s758,plain,
( ~ spl2_4
| spl2_139
| ~ spl2_192 ),
inference(sat_conversion,[],[f9894]) ).
cnf(s761,plain,
( spl2_98
| ~ spl2_192
| ~ spl2_203 ),
inference(sat_conversion,[],[f9901]) ).
cnf(s763,plain,
( ~ spl2_192
| spl2_232
| spl2_233 ),
inference(sat_conversion,[],[f9907]) ).
cnf(s764,plain,
( spl2_8
| ~ spl2_192
| ~ spl2_229 ),
inference(sat_conversion,[],[f9913]) ).
cnf(s765,plain,
( spl2_150
| ~ spl2_192
| ~ spl2_202 ),
inference(sat_conversion,[],[f9914]) ).
cnf(s768,plain,
( spl2_150
| ~ spl2_192
| spl2_291 ),
inference(sat_conversion,[],[f9920]) ).
cnf(s771,plain,
( spl2_149
| ~ spl2_192
| ~ spl2_278 ),
inference(sat_conversion,[],[f9925]) ).
cnf(s773,plain,
( spl2_84
| ~ spl2_192
| ~ spl2_206 ),
inference(sat_conversion,[],[f9927]) ).
cnf(s777,plain,
( ~ spl2_17
| spl2_23
| spl2_68
| ~ spl2_192 ),
inference(sat_conversion,[],[f9935]) ).
cnf(s779,plain,
( spl2_10
| spl2_150
| ~ spl2_192 ),
inference(sat_conversion,[],[f9939]) ).
cnf(s781,plain,
( ~ spl2_4
| spl2_8
| spl2_150
| ~ spl2_192 ),
inference(sat_conversion,[],[f9940]) ).
cnf(s789,plain,
( ~ spl2_4
| spl2_40
| spl2_70
| spl2_150
| ~ spl2_192 ),
inference(sat_conversion,[],[f9950]) ).
cnf(s791,plain,
( ~ spl2_19
| spl2_29
| spl2_83
| spl2_150
| ~ spl2_192 ),
inference(sat_conversion,[],[f9953]) ).
cnf(s800,plain,
( ~ spl2_6
| spl2_83
| spl2_84
| ~ spl2_98 ),
inference(sat_conversion,[],[f10021]) ).
cnf(s805,plain,
( ~ spl2_38
| ~ spl2_40
| spl2_139
| ~ spl2_202 ),
inference(sat_conversion,[],[f10043]) ).
cnf(s809,plain,
( spl2_83
| spl2_84
| ~ spl2_98
| spl2_132
| ~ spl2_148 ),
inference(sat_conversion,[],[f10055]) ).
cnf(s816,plain,
( ~ spl2_20
| ~ spl2_43
| ~ spl2_68
| spl2_104 ),
inference(sat_conversion,[],[f10109]) ).
cnf(s817,plain,
( ~ spl2_18
| spl2_43
| ~ spl2_202
| spl2_244 ),
inference(sat_conversion,[],[f10112]) ).
cnf(s824,plain,
( ~ spl2_93
| spl2_118
| ~ spl2_229 ),
inference(sat_conversion,[],[f10266]) ).
cnf(s825,plain,
( spl2_84
| ~ spl2_93
| ~ spl2_202 ),
inference(sat_conversion,[],[f10267]) ).
cnf(s827,plain,
( spl2_29
| ~ spl2_93
| ~ spl2_94 ),
inference(sat_conversion,[],[f10274]) ).
cnf(s828,plain,
( ~ spl2_93
| ~ spl2_140
| spl2_178 ),
inference(sat_conversion,[],[f10277]) ).
cnf(s829,plain,
( ~ spl2_93
| ~ spl2_98
| spl2_139 ),
inference(sat_conversion,[],[f10283]) ).
cnf(s830,plain,
( ~ spl2_93
| ~ spl2_181
| spl2_211 ),
inference(sat_conversion,[],[f10284]) ).
cnf(s831,plain,
( ~ spl2_93
| spl2_191
| ~ spl2_203 ),
inference(sat_conversion,[],[f10287]) ).
cnf(s832,plain,
( ~ spl2_93
| spl2_180
| ~ spl2_206 ),
inference(sat_conversion,[],[f10288]) ).
cnf(s840,plain,
( ~ spl2_17
| spl2_23
| spl2_68
| ~ spl2_93 ),
inference(sat_conversion,[],[f10304]) ).
cnf(s844,plain,
( spl2_195
| spl2_204 ),
inference(sat_conversion,[],[f10330]) ).
cnf(s846,plain,
( spl2_83
| spl2_195
| spl2_204 ),
inference(sat_conversion,[],[f10337]) ).
cnf(s851,plain,
( ~ spl2_17
| ~ spl2_130
| spl2_178 ),
inference(sat_conversion,[],[f10379]) ).
cnf(s852,plain,
( ~ spl2_19
| spl2_21
| spl2_26
| spl2_84
| ~ spl2_237 ),
inference(sat_conversion,[],[f10402]) ).
cnf(s855,plain,
( spl2_21
| spl2_209
| spl2_301 ),
inference(sat_conversion,[],[f10420]) ).
cnf(s859,plain,
( ~ spl2_98
| ~ spl2_226
| spl2_234 ),
inference(sat_conversion,[],[f10487]) ).
cnf(s861,plain,
( ~ spl2_18
| spl2_43
| ~ spl2_206
| spl2_246 ),
inference(sat_conversion,[],[f10507]) ).
cnf(s863,plain,
( ~ spl2_18
| spl2_44
| ~ spl2_194
| spl2_246 ),
inference(sat_conversion,[],[f10509]) ).
cnf(s867,plain,
( ~ spl2_173
| ~ spl2_225
| ~ spl2_278 ),
inference(sat_conversion,[],[f10587]) ).
cnf(s868,plain,
( spl2_26
| ~ spl2_194
| ~ spl2_225 ),
inference(sat_conversion,[],[f10589]) ).
cnf(s879,plain,
( spl2_305
| spl2_307 ),
inference(sat_conversion,[],[f10726]) ).
cnf(s881,plain,
( ~ spl2_18
| spl2_26
| spl2_30
| spl2_139
| spl2_244
| ~ spl2_278 ),
inference(sat_conversion,[],[f10792]) ).
cnf(s882,plain,
( spl2_26
| spl2_30
| spl2_139
| ~ spl2_140
| ~ spl2_278 ),
inference(sat_conversion,[],[f10793]) ).
cnf(s883,plain,
( spl2_26
| spl2_30
| ~ spl2_258
| ~ spl2_289 ),
inference(sat_conversion,[],[f10819]) ).
cnf(s887,plain,
( ~ spl2_54
| spl2_132 ),
inference(sat_conversion,[],[f10826]) ).
cnf(s888,plain,
( spl2_308
| spl2_309 ),
inference(sat_conversion,[],[f10834]) ).
cnf(s889,plain,
( ~ spl2_7
| ~ spl2_19
| spl2_308 ),
inference(sat_conversion,[],[f10835]) ).
cnf(s890,plain,
( ~ spl2_19
| spl2_149
| spl2_308 ),
inference(sat_conversion,[],[f10837]) ).
cnf(s891,plain,
( spl2_31
| spl2_308
| spl2_310 ),
inference(sat_conversion,[],[f10841]) ).
cnf(s893,plain,
( ~ spl2_66
| spl2_254 ),
inference(sat_conversion,[],[f10870]) ).
cnf(s898,plain,
( ~ spl2_4
| spl2_154
| spl2_308 ),
inference(sat_conversion,[],[f10916]) ).
cnf(s904,plain,
( spl2_47
| ~ spl2_150 ),
inference(sat_conversion,[],[f11060]) ).
cnf(s912,plain,
( ~ spl2_98
| ~ spl2_203
| spl2_208
| spl2_304 ),
inference(sat_conversion,[],[f11180]) ).
cnf(s914,plain,
( ~ spl2_43
| ~ spl2_84
| ~ spl2_92
| ~ spl2_194
| ~ spl2_206
| ~ spl2_208 ),
inference(sat_conversion,[],[f11202]) ).
cnf(s917,plain,
( ~ spl2_19
| spl2_21
| spl2_84
| spl2_92 ),
inference(sat_conversion,[],[f11234]) ).
cnf(s923,plain,
( ~ spl2_18
| ~ spl2_92
| ~ spl2_236
| spl2_244
| spl2_275 ),
inference(sat_conversion,[],[f11377]) ).
cnf(s926,plain,
( spl2_44
| ~ spl2_92
| ~ spl2_178 ),
inference(sat_conversion,[],[f11409]) ).
cnf(s927,plain,
( ~ spl2_178
| ~ spl2_208
| spl2_284 ),
inference(sat_conversion,[],[f11410]) ).
cnf(s928,plain,
( ~ spl2_19
| spl2_21
| spl2_44
| spl2_84
| ~ spl2_178 ),
inference(sat_conversion,[],[f11412]) ).
cnf(s930,plain,
( ~ spl2_92
| ~ spl2_194
| ~ spl2_232
| ~ spl2_302
| ~ spl2_307 ),
inference(sat_conversion,[],[f11421]) ).
cnf(s934,plain,
( ~ spl2_29
| ~ spl2_94
| ~ spl2_194
| ~ spl2_206
| ~ spl2_302
| ~ spl2_307 ),
inference(sat_conversion,[],[f11432]) ).
cnf(s938,plain,
( ~ spl2_139
| ~ spl2_171
| spl2_196
| ~ spl2_203 ),
inference(sat_conversion,[],[f11441]) ).
cnf(s947,plain,
( ~ spl2_21
| spl2_83 ),
inference(sat_conversion,[],[f11601]) ).
cnf(s988,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_19
| spl2_20 ),
inference(sat_conversion,[],[f11681]) ).
cnf(s996,plain,
( ~ spl2_20
| spl2_290 ),
inference(sat_conversion,[],[f11717]) ).
cnf(s997,plain,
( ~ spl2_8
| spl2_84 ),
inference(sat_conversion,[],[f11730]) ).
cnf(s998,plain,
( ~ spl2_8
| spl2_47
| ~ spl2_94 ),
inference(sat_conversion,[],[f11732]) ).
cnf(s1003,plain,
( spl2_43
| ~ spl2_92
| ~ spl2_94 ),
inference(sat_conversion,[],[f11830]) ).
cnf(s1017,plain,
( spl2_76
| ~ spl2_85 ),
inference(sat_conversion,[],[f12124]) ).
cnf(s1028,plain,
( ~ spl2_55
| ~ spl2_309
| spl2_319 ),
inference(sat_conversion,[],[f12312]) ).
cnf(s1029,plain,
( ~ spl2_20
| ~ spl2_29
| spl2_47 ),
inference(sat_conversion,[],[f12328]) ).
cnf(s1041,plain,
( spl2_201
| spl2_206 ),
inference(sat_conversion,[],[f12448]) ).
cnf(s1043,plain,
( ~ spl2_43
| ~ spl2_194
| ~ spl2_206
| spl2_322 ),
inference(sat_conversion,[],[f12457]) ).
cnf(s1055,plain,
( ~ spl2_290
| ~ spl2_308
| spl2_323 ),
inference(sat_conversion,[],[f12597]) ).
cnf(s1059,plain,
( ~ spl2_172
| ~ spl2_201
| ~ spl2_229 ),
inference(sat_conversion,[],[f12675]) ).
cnf(s1066,plain,
( ~ spl2_92
| ~ spl2_234
| ~ spl2_244
| ~ spl2_290
| spl2_325 ),
inference(sat_conversion,[],[f12691]) ).
cnf(s1074,plain,
( ~ spl2_54
| spl2_191
| spl2_237
| ~ spl2_255 ),
inference(sat_conversion,[],[f12708]) ).
cnf(s1096,plain,
( ~ spl2_196
| spl2_207
| ~ spl2_306 ),
inference(sat_conversion,[],[f13031]) ).
cnf(s1097,plain,
( spl2_178
| ~ spl2_198
| ~ spl2_306 ),
inference(sat_conversion,[],[f13036]) ).
cnf(s1100,plain,
( spl2_84
| ~ spl2_206
| ~ spl2_306 ),
inference(sat_conversion,[],[f13042]) ).
cnf(s1101,plain,
( spl2_232
| spl2_233
| ~ spl2_306 ),
inference(sat_conversion,[],[f13044]) ).
cnf(s1102,plain,
( spl2_121
| spl2_232
| ~ spl2_306 ),
inference(sat_conversion,[],[f13046]) ).
cnf(s1108,plain,
( ~ spl2_54
| ~ spl2_92
| spl2_238
| ~ spl2_323 ),
inference(sat_conversion,[],[f13106]) ).
cnf(s1113,plain,
( ~ spl2_170
| ~ spl2_244
| spl2_286 ),
inference(sat_conversion,[],[f13210]) ).
cnf(s1115,plain,
( ~ spl2_20
| ~ spl2_140
| spl2_285
| ~ spl2_321 ),
inference(sat_conversion,[],[f13255]) ).
cnf(s1117,plain,
( ~ spl2_94
| ~ spl2_234
| spl2_321 ),
inference(sat_conversion,[],[f13257]) ).
cnf(s1119,plain,
( ~ spl2_172
| ~ spl2_203
| ~ spl2_226 ),
inference(sat_conversion,[],[f13368]) ).
cnf(s1122,plain,
( spl2_194
| spl2_205 ),
inference(sat_conversion,[],[f13373]) ).
cnf(s1123,plain,
( spl2_194
| spl2_205
| spl2_281 ),
inference(sat_conversion,[],[f13380]) ).
cnf(s1125,plain,
( ~ spl2_54
| ~ spl2_149
| ~ spl2_285
| ~ spl2_308 ),
inference(sat_conversion,[],[f13383]) ).
cnf(s1133,plain,
( ~ spl2_173
| ~ spl2_194
| ~ spl2_208
| ~ spl2_325 ),
inference(sat_conversion,[],[f13434]) ).
cnf(s1142,plain,
( ~ spl2_98
| spl2_208
| ~ spl2_216 ),
inference(sat_conversion,[],[f13577]) ).
cnf(s1146,plain,
( ~ spl2_20
| ~ spl2_140
| ~ spl2_173
| ~ spl2_198
| ~ spl2_206
| ~ spl2_321 ),
inference(sat_conversion,[],[f13691]) ).
cnf(s1156,plain,
( ~ spl2_54
| ~ spl2_92
| spl2_331 ),
inference(sat_conversion,[],[f13772]) ).
cnf(s1164,plain,
( ~ spl2_117
| spl2_198
| ~ spl2_304 ),
inference(sat_conversion,[],[f13829]) ).
cnf(s1165,plain,
( ~ spl2_38
| ~ spl2_173
| spl2_203
| ~ spl2_250 ),
inference(sat_conversion,[],[f13830]) ).
cnf(s1170,plain,
( ~ spl2_17
| ~ spl2_195
| spl2_198
| ~ spl2_210 ),
inference(sat_conversion,[],[f13840]) ).
cnf(s1175,plain,
( ~ spl2_92
| ~ spl2_208
| ~ spl2_246
| ~ spl2_290
| spl2_336 ),
inference(sat_conversion,[],[f13851]) ).
cnf(s1176,plain,
( spl2_206
| spl2_211
| spl2_212
| ~ spl2_266 ),
inference(sat_conversion,[],[f13905]) ).
cnf(s1177,plain,
( spl2_192
| spl2_202
| spl2_250
| ~ spl2_266 ),
inference(sat_conversion,[],[f13907]) ).
cnf(s1179,plain,
( spl2_47
| spl2_181
| spl2_186
| ~ spl2_254
| ~ spl2_266 ),
inference(sat_conversion,[],[f13909]) ).
cnf(s1180,plain,
( spl2_180
| spl2_181
| spl2_186
| ~ spl2_266 ),
inference(sat_conversion,[],[f13910]) ).
cnf(s1181,plain,
( spl2_83
| spl2_84
| spl2_110
| ~ spl2_266 ),
inference(sat_conversion,[],[f13912]) ).
cnf(s1185,plain,
( ~ spl2_54
| ~ spl2_208
| ~ spl2_237 ),
inference(sat_conversion,[],[f13950]) ).
cnf(s1186,plain,
( ~ spl2_54
| ~ spl2_234
| ~ spl2_237 ),
inference(sat_conversion,[],[f13952]) ).
cnf(s1192,plain,
( spl2_234
| spl2_324 ),
inference(sat_conversion,[],[f13974]) ).
cnf(s1197,plain,
( ~ spl2_54
| spl2_90
| spl2_139
| ~ spl2_149
| ~ spl2_244 ),
inference(sat_conversion,[],[f13983]) ).
cnf(s1199,plain,
( ~ spl2_18
| spl2_94
| spl2_178 ),
inference(sat_conversion,[],[f13984]) ).
cnf(s1200,plain,
( spl2_140
| spl2_333 ),
inference(sat_conversion,[],[f13987]) ).
cnf(s1207,plain,
( ~ spl2_38
| ~ spl2_110
| spl2_139
| ~ spl2_301 ),
inference(sat_conversion,[],[f14007]) ).
cnf(s1208,plain,
( spl2_83
| spl2_140
| spl2_333 ),
inference(sat_conversion,[],[f14008]) ).
cnf(s1222,plain,
( spl2_244
| spl2_335 ),
inference(sat_conversion,[],[f14073]) ).
cnf(s1225,plain,
( spl2_192
| spl2_244
| spl2_335 ),
inference(sat_conversion,[],[f14083]) ).
cnf(s1237,plain,
( ~ spl2_29
| spl2_102
| ~ spl2_290 ),
inference(sat_conversion,[],[f14119]) ).
cnf(s1258,plain,
( ~ spl2_29
| ~ spl2_90
| ~ spl2_308 ),
inference(sat_conversion,[],[f14335]) ).
cnf(s1259,plain,
( spl2_4
| spl2_40 ),
inference(sat_conversion,[],[f14336]) ).
cnf(s1263,plain,
( spl2_141
| spl2_202 ),
inference(sat_conversion,[],[f14346]) ).
cnf(s1270,plain,
( ~ spl2_38
| ~ spl2_40
| spl2_203
| ~ spl2_206 ),
inference(sat_conversion,[],[f14428]) ).
cnf(s1272,plain,
( ~ spl2_55
| spl2_203 ),
inference(sat_conversion,[],[f14444]) ).
cnf(s1273,plain,
( ~ spl2_55
| spl2_139 ),
inference(sat_conversion,[],[f14446]) ).
cnf(s1282,plain,
( ~ spl2_29
| ~ spl2_84
| ~ spl2_244
| ~ spl2_325 ),
inference(sat_conversion,[],[f14560]) ).
cnf(s1292,plain,
( ~ spl2_18
| spl2_94
| ~ spl2_234
| spl2_303 ),
inference(sat_conversion,[],[f14609]) ).
cnf(s1298,plain,
( ~ spl2_38
| ~ spl2_40
| ~ spl2_180
| ~ spl2_181 ),
inference(sat_conversion,[],[f14722]) ).
cnf(s1314,plain,
( ~ spl2_141
| ~ spl2_171
| ~ spl2_221 ),
inference(sat_conversion,[],[f14991]) ).
cnf(s1319,plain,
( ~ spl2_54
| ~ spl2_113
| ~ spl2_169 ),
inference(sat_conversion,[],[f15072]) ).
cnf(s1324,plain,
( ~ spl2_29
| spl2_65
| ~ spl2_140
| ~ spl2_337 ),
inference(sat_conversion,[],[f15203]) ).
cnf(s1327,plain,
( ~ spl2_29
| spl2_65
| ~ spl2_258
| ~ spl2_342 ),
inference(sat_conversion,[],[f15285]) ).
cnf(s1334,plain,
( ~ spl2_29
| ~ spl2_140
| spl2_321 ),
inference(sat_conversion,[],[f15307]) ).
cnf(s1337,plain,
( ~ spl2_29
| spl2_65
| ~ spl2_198
| ~ spl2_334 ),
inference(sat_conversion,[],[f15410]) ).
cnf(s1343,plain,
( ~ spl2_178
| ~ spl2_234
| spl2_303 ),
inference(sat_conversion,[],[f15517]) ).
cnf(s1344,plain,
( ~ spl2_178
| ~ spl2_255
| spl2_338 ),
inference(sat_conversion,[],[f15518]) ).
cnf(s1347,plain,
( ~ spl2_98
| ~ spl2_182
| spl2_255 ),
inference(sat_conversion,[],[f15729]) ).
cnf(s1362,plain,
( spl2_103
| ~ spl2_239 ),
inference(sat_conversion,[],[f16035]) ).
cnf(s1364,plain,
( ~ spl2_130
| ~ spl2_139
| spl2_300
| spl2_301 ),
inference(sat_conversion,[],[f16535]) ).
cnf(s1365,plain,
( spl2_118
| ~ spl2_229
| ~ spl2_300 ),
inference(sat_conversion,[],[f16727]) ).
cnf(s1366,plain,
( ~ spl2_139
| spl2_191
| ~ spl2_300 ),
inference(sat_conversion,[],[f16729]) ).
cnf(s1367,plain,
( ~ spl2_181
| spl2_250
| ~ spl2_300 ),
inference(sat_conversion,[],[f16732]) ).
cnf(s1369,plain,
( ~ spl2_169
| ~ spl2_300
| spl2_301 ),
inference(sat_conversion,[],[f16735]) ).
cnf(s1371,plain,
( ~ spl2_119
| ~ spl2_300
| spl2_335 ),
inference(sat_conversion,[],[f16738]) ).
cnf(s1374,plain,
( ~ spl2_244
| spl2_254
| ~ spl2_300 ),
inference(sat_conversion,[],[f16744]) ).
cnf(s1376,plain,
( spl2_123
| ~ spl2_207
| ~ spl2_300 ),
inference(sat_conversion,[],[f16747]) ).
cnf(s1389,plain,
( ~ spl2_18
| ~ spl2_181
| spl2_254
| spl2_283 ),
inference(sat_conversion,[],[f16857]) ).
cnf(s1390,plain,
( ~ spl2_18
| spl2_94
| ~ spl2_234
| ~ spl2_301
| spl2_346 ),
inference(sat_conversion,[],[f16861]) ).
cnf(s1393,plain,
( ~ spl2_130
| spl2_169
| ~ spl2_191
| spl2_347 ),
inference(sat_conversion,[],[f16894]) ).
cnf(s1399,plain,
( ~ spl2_139
| spl2_203
| ~ spl2_347 ),
inference(sat_conversion,[],[f17063]) ).
cnf(s1401,plain,
( ~ spl2_171
| spl2_316
| ~ spl2_347 ),
inference(sat_conversion,[],[f17067]) ).
cnf(s1408,plain,
( spl2_121
| spl2_232
| ~ spl2_347 ),
inference(sat_conversion,[],[f17080]) ).
cnf(s1411,plain,
( ~ spl2_54
| ~ spl2_303
| ~ spl2_308
| spl2_348 ),
inference(sat_conversion,[],[f17087]) ).
cnf(s1414,plain,
( spl2_30
| ~ spl2_198
| ~ spl2_252
| ~ spl2_308 ),
inference(sat_conversion,[],[f17098]) ).
cnf(s1417,plain,
( ~ spl2_18
| spl2_30
| spl2_246
| ~ spl2_252
| ~ spl2_308 ),
inference(sat_conversion,[],[f17111]) ).
cnf(s1436,plain,
( ~ spl2_78
| ~ spl2_168
| ~ spl2_176 ),
inference(sat_conversion,[],[f17231]) ).
cnf(s1441,plain,
( ~ spl2_230
| spl2_277 ),
inference(sat_conversion,[],[f17520]) ).
cnf(s1442,plain,
( ~ spl2_34
| spl2_203
| spl2_246 ),
inference(sat_conversion,[],[f17602]) ).
cnf(s1444,plain,
( ~ spl2_34
| spl2_203
| ~ spl2_211
| spl2_334 ),
inference(sat_conversion,[],[f17608]) ).
cnf(s1445,plain,
( ~ spl2_34
| spl2_98
| ~ spl2_110
| spl2_265 ),
inference(sat_conversion,[],[f17609]) ).
cnf(s1448,plain,
( ~ spl2_34
| spl2_90
| spl2_98
| ~ spl2_113
| ~ spl2_149 ),
inference(sat_conversion,[],[f17614]) ).
cnf(s1449,plain,
( spl2_4
| ~ spl2_34
| ~ spl2_38
| spl2_55 ),
inference(sat_conversion,[],[f17615]) ).
cnf(s1450,plain,
( ~ spl2_34
| spl2_90
| ~ spl2_149
| spl2_203
| ~ spl2_252 ),
inference(sat_conversion,[],[f17616]) ).
cnf(s1461,plain,
( ~ spl2_103
| spl2_194
| spl2_206
| spl2_212
| spl2_281 ),
inference(sat_conversion,[],[f17848]) ).
cnf(s1462,plain,
( ~ spl2_103
| spl2_180
| spl2_186
| spl2_188
| spl2_193 ),
inference(sat_conversion,[],[f17850]) ).
cnf(s1463,plain,
( spl2_44
| ~ spl2_103
| ~ spl2_140
| spl2_192
| spl2_202
| spl2_299 ),
inference(sat_conversion,[],[f17852]) ).
cnf(s1464,plain,
( spl2_44
| ~ spl2_103
| ~ spl2_198
| spl2_206
| spl2_212
| spl2_281 ),
inference(sat_conversion,[],[f17853]) ).
cnf(s1466,plain,
( ~ spl2_103
| spl2_192
| spl2_202
| spl2_204
| spl2_299 ),
inference(sat_conversion,[],[f17855]) ).
cnf(s1468,plain,
( spl2_44
| spl2_83
| spl2_84
| spl2_93
| ~ spl2_103
| ~ spl2_178 ),
inference(sat_conversion,[],[f17857]) ).
cnf(s1470,plain,
( spl2_21
| ~ spl2_29
| ~ spl2_40
| ~ spl2_107
| spl2_144
| ~ spl2_149 ),
inference(sat_conversion,[],[f18118]) ).
cnf(s1472,plain,
( ~ spl2_17
| spl2_20
| ~ spl2_155
| spl2_308 ),
inference(sat_conversion,[],[f18256]) ).
cnf(s1475,plain,
( spl2_83
| spl2_84
| spl2_208
| ~ spl2_222 ),
inference(sat_conversion,[],[f18362]) ).
cnf(s1476,plain,
( ~ spl2_191
| ~ spl2_226
| spl2_355
| spl2_356 ),
inference(sat_conversion,[],[f18377]) ).
cnf(s1477,plain,
( ~ spl2_54
| ~ spl2_244
| ~ spl2_268
| ~ spl2_355 ),
inference(sat_conversion,[],[f18416]) ).
cnf(s1478,plain,
( ~ spl2_191
| spl2_203
| ~ spl2_356 ),
inference(sat_conversion,[],[f18592]) ).
cnf(s1479,plain,
( ~ spl2_173
| spl2_355
| ~ spl2_356 ),
inference(sat_conversion,[],[f18593]) ).
cnf(s1484,plain,
( spl2_181
| ~ spl2_211
| ~ spl2_356 ),
inference(sat_conversion,[],[f18601]) ).
cnf(s1487,plain,
( ~ spl2_169
| ~ spl2_255
| ~ spl2_355
| spl2_358 ),
inference(sat_conversion,[],[f18684]) ).
cnf(s1492,plain,
( ~ spl2_143
| spl2_180
| spl2_181
| spl2_186
| ~ spl2_355
| spl2_362 ),
inference(sat_conversion,[],[f18781]) ).
cnf(s1493,plain,
( ~ spl2_54
| ~ spl2_355
| spl2_361 ),
inference(sat_conversion,[],[f18782]) ).
cnf(s1496,plain,
( ~ spl2_145
| spl2_202
| spl2_204 ),
inference(sat_conversion,[],[f18894]) ).
cnf(s1497,plain,
( spl2_84
| spl2_92
| ~ spl2_145 ),
inference(sat_conversion,[],[f18896]) ).
cnf(s1498,plain,
( ~ spl2_145
| spl2_194
| spl2_206 ),
inference(sat_conversion,[],[f18898]) ).
cnf(s1500,plain,
( ~ spl2_145
| spl2_180
| spl2_188 ),
inference(sat_conversion,[],[f18901]) ).
cnf(s1501,plain,
( spl2_44
| ~ spl2_145
| ~ spl2_198
| spl2_206 ),
inference(sat_conversion,[],[f18906]) ).
cnf(s1502,plain,
( spl2_44
| ~ spl2_145
| spl2_180
| ~ spl2_258 ),
inference(sat_conversion,[],[f18907]) ).
cnf(s1503,plain,
( spl2_44
| ~ spl2_140
| ~ spl2_145
| spl2_202 ),
inference(sat_conversion,[],[f18908]) ).
cnf(s1504,plain,
( spl2_44
| spl2_84
| ~ spl2_145
| ~ spl2_178 ),
inference(sat_conversion,[],[f18909]) ).
cnf(s1505,plain,
( ~ spl2_254
| ~ spl2_355
| spl2_362 ),
inference(sat_conversion,[],[f18910]) ).
cnf(s1507,plain,
( ~ spl2_112
| spl2_169
| spl2_180
| spl2_186
| spl2_347 ),
inference(sat_conversion,[],[f19272]) ).
cnf(s1508,plain,
( ~ spl2_112
| spl2_206
| spl2_212
| spl2_306
| spl2_307 ),
inference(sat_conversion,[],[f19274]) ).
cnf(s1509,plain,
( ~ spl2_112
| spl2_192
| spl2_202
| ~ spl2_234
| spl2_300
| spl2_363 ),
inference(sat_conversion,[],[f19275]) ).
cnf(s1510,plain,
( ~ spl2_38
| ~ spl2_110
| ~ spl2_112
| spl2_206
| ~ spl2_211
| spl2_212
| spl2_306 ),
inference(sat_conversion,[],[f19278]) ).
cnf(s1515,plain,
( spl2_98
| ~ spl2_191
| ~ spl2_299 ),
inference(sat_conversion,[],[f19646]) ).
cnf(s1517,plain,
( spl2_44
| ~ spl2_299
| ~ spl2_303 ),
inference(sat_conversion,[],[f19650]) ).
cnf(s1518,plain,
( spl2_23
| ~ spl2_197
| ~ spl2_299 ),
inference(sat_conversion,[],[f19652]) ).
cnf(s1519,plain,
( spl2_94
| ~ spl2_254
| ~ spl2_299 ),
inference(sat_conversion,[],[f19654]) ).
cnf(s1522,plain,
( ~ spl2_244
| spl2_246
| ~ spl2_299 ),
inference(sat_conversion,[],[f19663]) ).
cnf(s1524,plain,
( ~ spl2_110
| spl2_181
| ~ spl2_299 ),
inference(sat_conversion,[],[f19670]) ).
cnf(s1525,plain,
( spl2_92
| ~ spl2_234
| ~ spl2_299 ),
inference(sat_conversion,[],[f19673]) ).
cnf(s1530,plain,
( ~ spl2_211
| spl2_250
| ~ spl2_299 ),
inference(sat_conversion,[],[f19683]) ).
cnf(s1531,plain,
( spl2_121
| ~ spl2_168
| ~ spl2_299 ),
inference(sat_conversion,[],[f19686]) ).
cnf(s1532,plain,
( spl2_92
| ~ spl2_299
| ~ spl2_355 ),
inference(sat_conversion,[],[f19690]) ).
cnf(s1533,plain,
( ~ spl2_173
| spl2_204
| ~ spl2_299 ),
inference(sat_conversion,[],[f19692]) ).
cnf(s1536,plain,
( spl2_208
| ~ spl2_234
| ~ spl2_299 ),
inference(sat_conversion,[],[f19696]) ).
cnf(s1538,plain,
( spl2_15
| ~ spl2_226
| ~ spl2_299 ),
inference(sat_conversion,[],[f19698]) ).
cnf(s1540,plain,
( spl2_130
| ~ spl2_182
| ~ spl2_299 ),
inference(sat_conversion,[],[f19701]) ).
cnf(s1541,plain,
( spl2_68
| ~ spl2_140
| ~ spl2_299 ),
inference(sat_conversion,[],[f19704]) ).
cnf(s1542,plain,
( spl2_232
| ~ spl2_255
| ~ spl2_299 ),
inference(sat_conversion,[],[f19706]) ).
cnf(s1545,plain,
( ~ spl2_139
| spl2_203
| ~ spl2_299 ),
inference(sat_conversion,[],[f19710]) ).
cnf(s1547,plain,
( ~ spl2_75
| ~ spl2_85
| spl2_232
| ~ spl2_299 ),
inference(sat_conversion,[],[f19714]) ).
cnf(s1562,plain,
( ~ spl2_14
| ~ spl2_17
| spl2_68
| ~ spl2_240
| ~ spl2_299 ),
inference(sat_conversion,[],[f19738]) ).
cnf(s1565,plain,
( ~ spl2_17
| spl2_23
| spl2_68
| ~ spl2_299 ),
inference(sat_conversion,[],[f19741]) ).
cnf(s1569,plain,
( spl2_92
| spl2_93
| ~ spl2_96
| spl2_308 ),
inference(sat_conversion,[],[f19924]) ).
cnf(s1570,plain,
( ~ spl2_229
| spl2_277 ),
inference(sat_conversion,[],[f19942]) ).
cnf(s1588,plain,
( ~ spl2_139
| ~ spl2_182
| spl2_356
| spl2_371 ),
inference(sat_conversion,[],[f20311]) ).
cnf(s1589,plain,
( ~ spl2_54
| ~ spl2_214
| ~ spl2_254
| ~ spl2_371 ),
inference(sat_conversion,[],[f20376]) ).
cnf(s1592,plain,
( ~ spl2_178
| ~ spl2_255
| ~ spl2_258
| ~ spl2_355
| ~ spl2_371 ),
inference(sat_conversion,[],[f20381]) ).
cnf(s1593,plain,
( ~ spl2_244
| ~ spl2_362
| spl2_364
| ~ spl2_371 ),
inference(sat_conversion,[],[f20382]) ).
cnf(s1594,plain,
( ~ spl2_54
| ~ spl2_255
| ~ spl2_361
| ~ spl2_371 ),
inference(sat_conversion,[],[f20384]) ).
cnf(s1597,plain,
( ~ spl2_29
| ~ spl2_188
| ~ spl2_244
| ~ spl2_254
| ~ spl2_303
| ~ spl2_355 ),
inference(sat_conversion,[],[f20391]) ).
cnf(s1600,plain,
( ~ spl2_92
| ~ spl2_234
| ~ spl2_303
| spl2_325 ),
inference(sat_conversion,[],[f20397]) ).
cnf(s1601,plain,
( ~ spl2_77
| ~ spl2_98
| ~ spl2_100
| ~ spl2_168
| spl2_188 ),
inference(sat_conversion,[],[f20400]) ).
cnf(s1602,plain,
( ~ spl2_29
| ~ spl2_92
| ~ spl2_94
| ~ spl2_234
| ~ spl2_244
| ~ spl2_303 ),
inference(sat_conversion,[],[f20401]) ).
cnf(s1605,plain,
( spl2_83
| spl2_84
| ~ spl2_187
| spl2_255 ),
inference(sat_conversion,[],[f20409]) ).
cnf(s1609,plain,
( ~ spl2_29
| ~ spl2_258
| ~ spl2_362
| spl2_376 ),
inference(sat_conversion,[],[f20426]) ).
cnf(s1611,plain,
( ~ spl2_29
| spl2_83
| spl2_84
| spl2_110
| ~ spl2_143
| ~ spl2_346 ),
inference(sat_conversion,[],[f20430]) ).
cnf(s1617,plain,
( ~ spl2_5
| spl2_29
| spl2_308 ),
inference(sat_conversion,[],[f20482]) ).
cnf(s1619,plain,
( spl2_21
| spl2_29
| ~ spl2_71
| spl2_308 ),
inference(sat_conversion,[],[f20488]) ).
cnf(s1621,plain,
( spl2_21
| spl2_29
| ~ spl2_70
| spl2_308 ),
inference(sat_conversion,[],[f20493]) ).
cnf(s1622,plain,
( spl2_20
| spl2_21
| spl2_29
| spl2_31
| ~ spl2_143 ),
inference(sat_conversion,[],[f20494]) ).
cnf(s1627,plain,
( spl2_83
| spl2_94
| spl2_119 ),
inference(sat_conversion,[],[f20512]) ).
cnf(s1644,plain,
( spl2_20
| spl2_21
| spl2_140
| ~ spl2_230 ),
inference(sat_conversion,[],[f20680]) ).
cnf(s1649,plain,
( ~ spl2_18
| ~ spl2_204
| ~ spl2_213
| spl2_246
| spl2_378 ),
inference(sat_conversion,[],[f20692]) ).
cnf(s1664,plain,
( ~ spl2_9
| spl2_246 ),
inference(sat_conversion,[],[f20791]) ).
cnf(s1667,plain,
( ~ spl2_9
| ~ spl2_302
| spl2_315 ),
inference(sat_conversion,[],[f20817]) ).
cnf(s1670,plain,
( ~ spl2_9
| ~ spl2_303
| spl2_375 ),
inference(sat_conversion,[],[f20820]) ).
cnf(s1676,plain,
( ~ spl2_29
| ~ spl2_204
| ~ spl2_364 ),
inference(sat_conversion,[],[f20991]) ).
cnf(s1681,plain,
( ~ spl2_29
| ~ spl2_149
| ~ spl2_244
| ~ spl2_348 ),
inference(sat_conversion,[],[f21179]) ).
cnf(s1683,plain,
( ~ spl2_102
| ~ spl2_204
| ~ spl2_244
| spl2_364 ),
inference(sat_conversion,[],[f21267]) ).
cnf(s1685,plain,
( ~ spl2_54
| spl2_215
| ~ spl2_289
| ~ spl2_371 ),
inference(sat_conversion,[],[f21297]) ).
cnf(s1686,plain,
( spl2_90
| ~ spl2_149
| ~ spl2_254
| ~ spl2_289 ),
inference(sat_conversion,[],[f21298]) ).
cnf(s1690,plain,
( spl2_44
| ~ spl2_140
| ~ spl2_204 ),
inference(sat_conversion,[],[f21559]) ).
cnf(s1699,plain,
( ~ spl2_20
| ~ spl2_40
| spl2_104
| ~ spl2_149 ),
inference(sat_conversion,[],[f21693]) ).
cnf(s1715,plain,
( ~ spl2_20
| ~ spl2_31
| ~ spl2_126
| ~ spl2_178 ),
inference(sat_conversion,[],[f21798]) ).
cnf(s1720,plain,
( ~ spl2_18
| ~ spl2_20
| ~ spl2_31
| spl2_94
| ~ spl2_126 ),
inference(sat_conversion,[],[f21805]) ).
cnf(s1735,plain,
( ~ spl2_173
| ~ spl2_194
| ~ spl2_303
| spl2_383 ),
inference(sat_conversion,[],[f21829]) ).
cnf(s1743,plain,
( ~ spl2_182
| spl2_226
| ~ spl2_356 ),
inference(sat_conversion,[],[f22083]) ).
cnf(s1748,plain,
( ~ spl2_173
| ~ spl2_246
| spl2_369 ),
inference(sat_conversion,[],[f22114]) ).
cnf(s1751,plain,
( spl2_300
| ~ spl2_356 ),
inference(sat_conversion,[],[f22181]) ).
cnf(s1770,plain,
( ~ spl2_55
| spl2_191 ),
inference(sat_conversion,[],[f22305]) ).
cnf(s1777,plain,
( ~ spl2_258
| spl2_303
| ~ spl2_355 ),
inference(sat_conversion,[],[f22527]) ).
cnf(s1779,plain,
( ~ spl2_18
| spl2_254
| spl2_303
| ~ spl2_355 ),
inference(sat_conversion,[],[f22530]) ).
cnf(s1782,plain,
( ~ spl2_18
| ~ spl2_170
| spl2_244
| spl2_284 ),
inference(sat_conversion,[],[f22667]) ).
cnf(s1790,plain,
( ~ spl2_75
| ~ spl2_85
| spl2_232
| ~ spl2_281 ),
inference(sat_conversion,[],[f22888]) ).
cnf(s1791,plain,
( spl2_121
| spl2_232
| ~ spl2_281 ),
inference(sat_conversion,[],[f22890]) ).
cnf(s1794,plain,
( ~ spl2_14
| spl2_23
| ~ spl2_27
| spl2_68
| ~ spl2_281 ),
inference(sat_conversion,[],[f22898]) ).
cnf(s1797,plain,
( spl2_22
| spl2_68
| ~ spl2_281 ),
inference(sat_conversion,[],[f22903]) ).
cnf(s1798,plain,
( spl2_68
| spl2_272
| ~ spl2_281 ),
inference(sat_conversion,[],[f22904]) ).
cnf(s1801,plain,
( ~ spl2_17
| spl2_23
| spl2_68
| ~ spl2_281 ),
inference(sat_conversion,[],[f22907]) ).
cnf(s1813,plain,
( ~ spl2_139
| ~ spl2_172
| spl2_196
| ~ spl2_203 ),
inference(sat_conversion,[],[f23156]) ).
cnf(s1816,plain,
( ~ spl2_18
| ~ spl2_169
| spl2_254
| spl2_302 ),
inference(sat_conversion,[],[f23159]) ).
cnf(s1817,plain,
( ~ spl2_204
| ~ spl2_234
| spl2_302 ),
inference(sat_conversion,[],[f23160]) ).
cnf(s1819,plain,
( ~ spl2_43
| ~ spl2_202
| ~ spl2_204
| spl2_285 ),
inference(sat_conversion,[],[f23162]) ).
cnf(s1820,plain,
( ~ spl2_109
| ~ spl2_169
| ~ spl2_258
| spl2_390 ),
inference(sat_conversion,[],[f23166]) ).
cnf(s1829,plain,
( ~ spl2_37
| ~ spl2_54
| ~ spl2_202
| spl2_215 ),
inference(sat_conversion,[],[f23215]) ).
cnf(s1830,plain,
( ~ spl2_18
| ~ spl2_20
| spl2_246
| ~ spl2_286
| spl2_322 ),
inference(sat_conversion,[],[f23216]) ).
cnf(s1845,plain,
( ~ spl2_234
| ~ spl2_301
| spl2_363 ),
inference(sat_conversion,[],[f23399]) ).
cnf(s1846,plain,
( ~ spl2_54
| ~ spl2_301
| ~ spl2_331
| spl2_378 ),
inference(sat_conversion,[],[f23401]) ).
cnf(s1847,plain,
( ~ spl2_198
| spl2_203
| spl2_381 ),
inference(sat_conversion,[],[f23437]) ).
cnf(s1857,plain,
( ~ spl2_40
| ~ spl2_94
| ~ spl2_391 ),
inference(sat_conversion,[],[f23587]) ).
cnf(s1867,plain,
( spl2_84
| ~ spl2_168
| spl2_177
| ~ spl2_247 ),
inference(sat_conversion,[],[f23683]) ).
cnf(s1879,plain,
( spl2_21
| spl2_31
| spl2_102
| ~ spl2_279
| ~ spl2_290
| spl2_308 ),
inference(sat_conversion,[],[f24649]) ).
cnf(s1880,plain,
( spl2_21
| spl2_29
| spl2_31
| ~ spl2_279
| spl2_308 ),
inference(sat_conversion,[],[f24650]) ).
cnf(s1890,plain,
( ~ spl2_104
| spl2_186
| ~ spl2_188
| ~ spl2_255
| ~ spl2_277
| ~ spl2_325
| spl2_356 ),
inference(sat_conversion,[],[f25461]) ).
cnf(s1902,plain,
( ~ spl2_168
| ~ spl2_207
| spl2_355
| spl2_356 ),
inference(sat_conversion,[],[f25759]) ).
cnf(s1904,plain,
( ~ spl2_204
| ~ spl2_244
| ~ spl2_254
| ~ spl2_355
| spl2_390 ),
inference(sat_conversion,[],[f25802]) ).
cnf(s1905,plain,
( ~ spl2_189
| spl2_263 ),
inference(sat_conversion,[],[f25953]) ).
cnf(s1906,plain,
( ~ spl2_120
| spl2_208
| spl2_246 ),
inference(sat_conversion,[],[f26173]) ).
cnf(s1908,plain,
( ~ spl2_120
| ~ spl2_211
| spl2_246
| spl2_274 ),
inference(sat_conversion,[],[f26197]) ).
cnf(s1911,plain,
( ~ spl2_118
| ~ spl2_168
| ~ spl2_247 ),
inference(sat_conversion,[],[f26219]) ).
cnf(s1912,plain,
( ~ spl2_18
| spl2_254
| ~ spl2_355
| spl2_399 ),
inference(sat_conversion,[],[f26224]) ).
cnf(s1914,plain,
( ~ spl2_180
| ~ spl2_181
| ~ spl2_329
| ~ spl2_355 ),
inference(sat_conversion,[],[f26230]) ).
cnf(s1919,plain,
( ~ spl2_104
| ~ spl2_180
| ~ spl2_188 ),
inference(sat_conversion,[],[f26241]) ).
cnf(s1922,plain,
( ~ spl2_18
| ~ spl2_188
| spl2_254
| spl2_402 ),
inference(sat_conversion,[],[f26252]) ).
cnf(s1923,plain,
( ~ spl2_29
| ~ spl2_244
| ~ spl2_303
| spl2_375 ),
inference(sat_conversion,[],[f26253]) ).
cnf(s1926,plain,
( ~ spl2_117
| spl2_140
| ~ spl2_207 ),
inference(sat_conversion,[],[f26258]) ).
cnf(s1928,plain,
( ~ spl2_18
| spl2_44
| ~ spl2_188
| spl2_254 ),
inference(sat_conversion,[],[f26261]) ).
cnf(s1934,plain,
( spl2_93
| ~ spl2_140
| spl2_180
| ~ spl2_229
| ~ spl2_244
| ~ spl2_390 ),
inference(sat_conversion,[],[f26277]) ).
cnf(s1939,plain,
( ~ spl2_104
| ~ spl2_180
| ~ spl2_184
| spl2_193
| spl2_308 ),
inference(sat_conversion,[],[f26285]) ).
cnf(s1941,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_20
| spl2_70 ),
inference(sat_conversion,[],[f26287]) ).
cnf(s1942,plain,
( ~ spl2_169
| ~ spl2_355
| spl2_358
| ~ spl2_393 ),
inference(sat_conversion,[],[f26289]) ).
cnf(s1948,plain,
( ~ spl2_14
| spl2_140
| ~ spl2_229 ),
inference(sat_conversion,[],[f26296]) ).
cnf(s1950,plain,
( ~ spl2_17
| spl2_19
| spl2_20
| spl2_40 ),
inference(sat_conversion,[],[f26302]) ).
cnf(s1952,plain,
( spl2_44
| spl2_83
| spl2_93
| spl2_94
| spl2_110
| ~ spl2_154
| ~ spl2_178 ),
inference(sat_conversion,[],[f26306]) ).
cnf(s1963,plain,
( spl2_204
| ~ spl2_245
| spl2_299
| spl2_308 ),
inference(sat_conversion,[],[f26434]) ).
cnf(s1964,plain,
( ~ spl2_188
| ~ spl2_258
| spl2_402 ),
inference(sat_conversion,[],[f26498]) ).
cnf(s1965,plain,
( ~ spl2_258
| ~ spl2_355
| spl2_399 ),
inference(sat_conversion,[],[f26499]) ).
cnf(s1968,plain,
( ~ spl2_169
| ~ spl2_188
| ~ spl2_346 ),
inference(sat_conversion,[],[f26609]) ).
cnf(s1969,plain,
( ~ spl2_173
| ~ spl2_198
| spl2_303 ),
inference(sat_conversion,[],[f26610]) ).
cnf(s1988,plain,
( ~ spl2_29
| ~ spl2_31
| ~ spl2_38
| ~ spl2_40 ),
inference(sat_conversion,[],[f26651]) ).
cnf(s1991,plain,
( ~ spl2_198
| spl2_206
| ~ spl2_229
| spl2_299
| spl2_303 ),
inference(sat_conversion,[],[f26656]) ).
cnf(s1993,plain,
( ~ spl2_40
| ~ spl2_94
| ~ spl2_244
| ~ spl2_394 ),
inference(sat_conversion,[],[f26659]) ).
cnf(s1996,plain,
( spl2_32
| ~ spl2_38
| ~ spl2_40
| ~ spl2_99 ),
inference(sat_conversion,[],[f26662]) ).
cnf(s2010,plain,
( ~ spl2_23
| spl2_308 ),
inference(sat_conversion,[],[f26710]) ).
cnf(s2016,plain,
( ~ spl2_123
| spl2_178 ),
inference(sat_conversion,[],[f26758]) ).
cnf(s2017,plain,
( spl2_94
| ~ spl2_123 ),
inference(sat_conversion,[],[f26759]) ).
cnf(s2024,plain,
( ~ spl2_29
| ~ spl2_180
| ~ spl2_244
| ~ spl2_372 ),
inference(sat_conversion,[],[f26882]) ).
cnf(s2025,plain,
( ~ spl2_47
| spl2_144
| ~ spl2_149 ),
inference(sat_conversion,[],[f26884]) ).
cnf(s2029,plain,
( ~ spl2_171
| ~ spl2_196
| ~ spl2_316 ),
inference(sat_conversion,[],[f26888]) ).
cnf(s2030,plain,
( ~ spl2_4
| ~ spl2_139
| spl2_229
| spl2_244 ),
inference(sat_conversion,[],[f26890]) ).
cnf(s2031,plain,
( spl2_29
| ~ spl2_197
| spl2_244 ),
inference(sat_conversion,[],[f26892]) ).
cnf(s2039,plain,
( ~ spl2_55
| spl2_98 ),
inference(sat_conversion,[],[f26968]) ).
cnf(s2056,plain,
( ~ spl2_29
| ~ spl2_254
| ~ spl2_338
| spl2_374 ),
inference(sat_conversion,[],[f27099]) ).
cnf(s2058,plain,
( ~ spl2_47
| ~ spl2_84
| spl2_345 ),
inference(sat_conversion,[],[f27114]) ).
cnf(s2059,plain,
( ~ spl2_54
| ~ spl2_84
| ~ spl2_144 ),
inference(sat_conversion,[],[f27116]) ).
cnf(s2060,plain,
( ~ spl2_20
| ~ spl2_198
| ~ spl2_286
| spl2_322 ),
inference(sat_conversion,[],[f27117]) ).
cnf(s2061,plain,
( ~ spl2_84
| ~ spl2_234
| ~ spl2_321
| spl2_412 ),
inference(sat_conversion,[],[f27122]) ).
cnf(s2078,plain,
( spl2_44
| ~ spl2_194
| ~ spl2_198 ),
inference(sat_conversion,[],[f27336]) ).
cnf(s2080,plain,
( ~ spl2_104
| ~ spl2_194
| ~ spl2_206 ),
inference(sat_conversion,[],[f27339]) ).
cnf(s2088,plain,
( ~ spl2_122
| spl2_208 ),
inference(sat_conversion,[],[f27473]) ).
cnf(s2094,plain,
( ~ spl2_29
| ~ spl2_194
| ~ spl2_261 ),
inference(sat_conversion,[],[f27540]) ).
cnf(s2095,plain,
( ~ spl2_92
| ~ spl2_169
| ~ spl2_401 ),
inference(sat_conversion,[],[f27550]) ).
cnf(s2096,plain,
( ~ spl2_44
| ~ spl2_92
| spl2_346 ),
inference(sat_conversion,[],[f27563]) ).
cnf(s2099,plain,
( spl2_140
| ~ spl2_258
| ~ spl2_300 ),
inference(sat_conversion,[],[f27712]) ).
cnf(s2101,plain,
( spl2_78
| ~ spl2_197
| ~ spl2_300 ),
inference(sat_conversion,[],[f27716]) ).
cnf(s2102,plain,
( spl2_232
| ~ spl2_234
| ~ spl2_300 ),
inference(sat_conversion,[],[f27717]) ).
cnf(s2104,plain,
( ~ spl2_169
| ~ spl2_300
| spl2_307 ),
inference(sat_conversion,[],[f27719]) ).
cnf(s2111,plain,
( spl2_169
| ~ spl2_173
| ~ spl2_300 ),
inference(sat_conversion,[],[f27725]) ).
cnf(s2113,plain,
( spl2_121
| spl2_232
| ~ spl2_300 ),
inference(sat_conversion,[],[f27727]) ).
cnf(s2115,plain,
( spl2_191
| ~ spl2_413 ),
inference(sat_conversion,[],[f27730]) ).
cnf(s2131,plain,
( ~ spl2_139
| ~ spl2_171
| ~ spl2_216 ),
inference(sat_conversion,[],[f27964]) ).
cnf(s2135,plain,
( ~ spl2_172
| ~ spl2_207
| ~ spl2_305 ),
inference(sat_conversion,[],[f28066]) ).
cnf(s2150,plain,
( ~ spl2_29
| ~ spl2_149
| ~ spl2_254
| ~ spl2_351 ),
inference(sat_conversion,[],[f28372]) ).
cnf(s2154,plain,
( ~ spl2_254
| ~ spl2_258
| ~ spl2_371
| ~ spl2_376 ),
inference(sat_conversion,[],[f28404]) ).
cnf(s2155,plain,
( ~ spl2_17
| ~ spl2_117
| spl2_188
| ~ spl2_373 ),
inference(sat_conversion,[],[f28436]) ).
cnf(s2157,plain,
( ~ spl2_20
| spl2_67
| ~ spl2_254
| ~ spl2_402 ),
inference(sat_conversion,[],[f28528]) ).
cnf(s2159,plain,
( ~ spl2_140
| ~ spl2_283
| ~ spl2_371
| spl2_378 ),
inference(sat_conversion,[],[f28594]) ).
cnf(s2160,plain,
( ~ spl2_140
| ~ spl2_250
| spl2_287 ),
inference(sat_conversion,[],[f28655]) ).
cnf(s2161,plain,
( ~ spl2_20
| ~ spl2_254
| spl2_376
| ~ spl2_399 ),
inference(sat_conversion,[],[f28704]) ).
cnf(s2162,plain,
( ~ spl2_172
| spl2_211
| ~ spl2_227 ),
inference(sat_conversion,[],[f28840]) ).
cnf(s2196,plain,
( ~ spl2_182
| ~ spl2_413
| ~ spl2_418 ),
inference(sat_conversion,[],[f31691]) ).
cnf(s2231,plain,
( ~ spl2_17
| ~ spl2_176
| ~ spl2_413
| ~ spl2_419
| spl2_425 ),
inference(sat_conversion,[],[f32172]) ).
cnf(s2305,plain,
( spl2_244
| ~ spl2_246
| ~ spl2_404 ),
inference(sat_conversion,[],[f34331]) ).
cnf(s2326,plain,
( ~ spl2_29
| ~ spl2_198
| ~ spl2_246
| spl2_390
| ~ spl2_442 ),
inference(sat_conversion,[],[f34570]) ).
cnf(s2334,plain,
( ~ spl2_170
| spl2_206
| spl2_212
| ~ spl2_277
| spl2_404
| spl2_455 ),
inference(sat_conversion,[],[f35955]) ).
cnf(s2335,plain,
( spl2_173
| spl2_206
| spl2_212
| ~ spl2_277
| spl2_404 ),
inference(sat_conversion,[],[f35957]) ).
cnf(s2336,plain,
( spl2_180
| spl2_186
| ~ spl2_277
| spl2_356
| ~ spl2_371
| spl2_455 ),
inference(sat_conversion,[],[f35961]) ).
cnf(s2339,plain,
( ~ spl2_38
| spl2_83
| spl2_84
| ~ spl2_110
| ~ spl2_250
| ~ spl2_277
| spl2_300 ),
inference(sat_conversion,[],[f35967]) ).
cnf(s2341,plain,
( ~ spl2_184
| spl2_188
| spl2_193
| spl2_308 ),
inference(sat_conversion,[],[f36116]) ).
cnf(s2342,plain,
( ~ spl2_44
| ~ spl2_184
| spl2_193
| spl2_308
| spl2_456 ),
inference(sat_conversion,[],[f36120]) ).
cnf(s2346,plain,
( ~ spl2_120
| spl2_427
| spl2_428 ),
inference(sat_conversion,[],[f36491]) ).
cnf(s2357,plain,
( ~ spl2_169
| ~ spl2_188
| ~ spl2_312
| ~ spl2_371 ),
inference(sat_conversion,[],[f36528]) ).
cnf(s2367,plain,
( ~ spl2_17
| ~ spl2_77
| spl2_319
| ~ spl2_413 ),
inference(sat_conversion,[],[f36557]) ).
cnf(s2369,plain,
( ~ spl2_250
| ~ spl2_301
| ~ spl2_371
| ~ spl2_445 ),
inference(sat_conversion,[],[f36563]) ).
cnf(s2373,plain,
( ~ spl2_38
| ~ spl2_40
| spl2_98
| ~ spl2_120
| spl2_465 ),
inference(sat_conversion,[],[f36575]) ).
cnf(s2374,plain,
( ~ spl2_44
| ~ spl2_92
| ~ spl2_120
| ~ spl2_204
| spl2_244 ),
inference(sat_conversion,[],[f36576]) ).
cnf(s2380,plain,
( ~ spl2_92
| ~ spl2_208
| ~ spl2_232
| ~ spl2_336 ),
inference(sat_conversion,[],[f36591]) ).
cnf(s2389,plain,
( ~ spl2_120
| ~ spl2_232
| spl2_244
| ~ spl2_393
| spl2_471 ),
inference(sat_conversion,[],[f36614]) ).
cnf(s2394,plain,
( ~ spl2_120
| ~ spl2_140
| ~ spl2_178
| ~ spl2_204
| spl2_244
| spl2_473 ),
inference(sat_conversion,[],[f36626]) ).
cnf(s2420,plain,
( spl2_31
| ~ spl2_97
| spl2_178 ),
inference(sat_conversion,[],[f36740]) ).
cnf(s2435,plain,
( ~ spl2_44
| ~ spl2_188
| spl2_456 ),
inference(sat_conversion,[],[f36901]) ).
cnf(s2437,plain,
( ~ spl2_120
| ~ spl2_170
| ~ spl2_204
| spl2_244
| ~ spl2_336 ),
inference(sat_conversion,[],[f36924]) ).
cnf(s2438,plain,
( ~ spl2_94
| ~ spl2_169
| ~ spl2_178
| ~ spl2_390 ),
inference(sat_conversion,[],[f36951]) ).
cnf(s2441,plain,
( ~ spl2_198
| ~ spl2_208
| ~ spl2_473 ),
inference(sat_conversion,[],[f37009]) ).
cnf(s2447,plain,
( ~ spl2_170
| ~ spl2_307
| spl2_393 ),
inference(sat_conversion,[],[f37061]) ).
cnf(s2448,plain,
( ~ spl2_208
| ~ spl2_307
| spl2_363 ),
inference(sat_conversion,[],[f37062]) ).
cnf(s2454,plain,
( ~ spl2_171
| ~ spl2_209
| ~ spl2_304 ),
inference(sat_conversion,[],[f37139]) ).
cnf(s2456,plain,
( ~ spl2_173
| ~ spl2_208
| spl2_393 ),
inference(sat_conversion,[],[f37170]) ).
cnf(s2457,plain,
( ~ spl2_44
| ~ spl2_173
| ~ spl2_194
| ~ spl2_204 ),
inference(sat_conversion,[],[f37172]) ).
cnf(s2460,plain,
( ~ spl2_31
| ~ spl2_140
| ~ spl2_178
| ~ spl2_394 ),
inference(sat_conversion,[],[f37179]) ).
cnf(s2464,plain,
( spl2_4
| ~ spl2_5
| ~ spl2_38
| spl2_481 ),
inference(sat_conversion,[],[f37192]) ).
cnf(s2466,plain,
( spl2_4
| ~ spl2_29
| ~ spl2_31
| ~ spl2_38 ),
inference(sat_conversion,[],[f37194]) ).
cnf(s2469,plain,
( ~ spl2_20
| ~ spl2_31
| ~ spl2_140
| ~ spl2_329 ),
inference(sat_conversion,[],[f37197]) ).
cnf(s2479,plain,
( ~ spl2_206
| ~ spl2_208
| spl2_288 ),
inference(sat_conversion,[],[f37360]) ).
cnf(s2504,plain,
( spl2_444
| spl2_484 ),
inference(sat_conversion,[],[f37681]) ).
cnf(s2519,plain,
( spl2_47
| ~ spl2_206
| ~ spl2_246 ),
inference(sat_conversion,[],[f38172]) ).
cnf(s2522,plain,
( ~ spl2_14
| ~ spl2_189
| spl2_258 ),
inference(sat_conversion,[],[f38177]) ).
cnf(s2526,plain,
( ~ spl2_4
| spl2_206
| ~ spl2_317
| ~ spl2_335 ),
inference(sat_conversion,[],[f38182]) ).
cnf(s2527,plain,
( ~ spl2_75
| ~ spl2_189
| spl2_255 ),
inference(sat_conversion,[],[f38183]) ).
cnf(s2538,plain,
( spl2_258
| spl2_477 ),
inference(sat_conversion,[],[f38198]) ).
cnf(s2540,plain,
( ~ spl2_170
| ~ spl2_194
| ~ spl2_307
| ~ spl2_312 ),
inference(sat_conversion,[],[f38200]) ).
cnf(s2545,plain,
( ~ spl2_17
| spl2_194
| ~ spl2_317
| ~ spl2_333 ),
inference(sat_conversion,[],[f38210]) ).
cnf(s2555,plain,
( ~ spl2_38
| ~ spl2_40
| ~ spl2_428
| ~ spl2_429 ),
inference(sat_conversion,[],[f38270]) ).
cnf(s2565,plain,
( ~ spl2_20
| ~ spl2_178
| ~ spl2_288
| spl2_341 ),
inference(sat_conversion,[],[f38332]) ).
cnf(s2573,plain,
( ~ spl2_92
| ~ spl2_255
| ~ spl2_456 ),
inference(sat_conversion,[],[f38513]) ).
cnf(s2576,plain,
( spl2_429
| spl2_488 ),
inference(sat_conversion,[],[f38527]) ).
cnf(s2590,plain,
( ~ spl2_44
| ~ spl2_92
| ~ spl2_204
| ~ spl2_234 ),
inference(sat_conversion,[],[f38675]) ).
cnf(s2603,plain,
( spl2_254
| spl2_464 ),
inference(sat_conversion,[],[f38792]) ).
cnf(s2604,plain,
( spl2_254
| spl2_464 ),
inference(sat_conversion,[],[f38795]) ).
cnf(s2614,plain,
( ~ spl2_234
| ~ spl2_244
| ~ spl2_353 ),
inference(sat_conversion,[],[f38934]) ).
cnf(s2618,plain,
( spl2_255
| spl2_476 ),
inference(sat_conversion,[],[f39023]) ).
cnf(s2621,plain,
( spl2_83
| spl2_255
| spl2_476 ),
inference(sat_conversion,[],[f39025]) ).
cnf(s2641,plain,
( ~ spl2_301
| ~ spl2_363
| spl2_471 ),
inference(sat_conversion,[],[f39535]) ).
cnf(s2642,plain,
( ~ spl2_178
| spl2_346
| ~ spl2_363 ),
inference(sat_conversion,[],[f39536]) ).
cnf(s2645,plain,
( ~ spl2_38
| spl2_98
| ~ spl2_208
| ~ spl2_211 ),
inference(sat_conversion,[],[f39540]) ).
cnf(s2650,plain,
( spl2_413
| ~ spl2_465 ),
inference(sat_conversion,[],[f39564]) ).
cnf(s2738,plain,
( ~ spl2_23
| spl2_29 ),
inference(sat_conversion,[],[f40087]) ).
cnf(s2739,plain,
( ~ spl2_10
| spl2_291 ),
inference(sat_conversion,[],[f40120]) ).
cnf(s2741,plain,
~ spl2_83,
inference(sat_conversion,[],[f40143]) ).
cnf(s2742,plain,
( spl2_83
| spl2_168
| spl2_169 ),
inference(sat_conversion,[],[f40154]) ).
cnf(s2743,plain,
( spl2_83
| spl2_170
| spl2_171 ),
inference(sat_conversion,[],[f40155]) ).
cnf(s2744,plain,
( spl2_83
| spl2_172
| spl2_173 ),
inference(sat_conversion,[],[f40156]) ).
cnf(s2751,plain,
( spl2_244
| ~ spl2_246
| ~ spl2_299 ),
inference(sat_conversion,[],[f40296]) ).
cnf(s2756,plain,
( spl2_17
| ~ spl2_139
| ~ spl2_299 ),
inference(sat_conversion,[],[f40305]) ).
cnf(s2757,plain,
( spl2_22
| spl2_68
| ~ spl2_299 ),
inference(sat_conversion,[],[f40306]) ).
cnf(s2761,plain,
( spl2_168
| spl2_169
| spl2_299 ),
inference(sat_conversion,[],[f40339]) ).
cnf(s2773,plain,
( ~ spl2_149
| ~ spl2_202
| ~ spl2_215 ),
inference(sat_conversion,[],[f40506]) ).
cnf(s2779,plain,
( ~ spl2_29
| ~ spl2_65
| ~ spl2_68
| ~ spl2_308 ),
inference(sat_conversion,[],[f40634]) ).
cnf(s2789,plain,
( ~ spl2_54
| ~ spl2_471 ),
inference(sat_conversion,[],[f40734]) ).
cnf(s2792,plain,
( ~ spl2_171
| ~ spl2_195
| ~ spl2_217 ),
inference(sat_conversion,[],[f40770]) ).
cnf(s2793,plain,
( ~ spl2_33
| ~ spl2_54
| ~ spl2_92
| spl2_237 ),
inference(sat_conversion,[],[f40797]) ).
cnf(s2794,plain,
( ~ spl2_29
| ~ spl2_33
| spl2_90
| ~ spl2_149 ),
inference(sat_conversion,[],[f40798]) ).
cnf(s2811,plain,
( ~ spl2_194
| ~ spl2_225
| ~ spl2_308 ),
inference(sat_conversion,[],[f40966]) ).
cnf(s2815,plain,
( ~ spl2_55
| ~ spl2_139
| ~ spl2_172
| spl2_196 ),
inference(sat_conversion,[],[f41032]) ).
cnf(s2822,plain,
( ~ spl2_44
| spl2_161
| ~ spl2_308 ),
inference(sat_conversion,[],[f41062]) ).
cnf(s2834,plain,
( ~ spl2_40
| ~ spl2_181
| ~ spl2_264 ),
inference(sat_conversion,[],[f41163]) ).
cnf(s2838,plain,
( ~ spl2_14
| spl2_145
| ~ spl2_291 ),
inference(sat_conversion,[],[f41302]) ).
cnf(s2841,plain,
( ~ spl2_141
| ~ spl2_172
| spl2_206
| ~ spl2_291 ),
inference(sat_conversion,[],[f41310]) ).
cnf(s2843,plain,
( ~ spl2_7
| spl2_84
| ~ spl2_98
| ~ spl2_291 ),
inference(sat_conversion,[],[f41312]) ).
cnf(s2844,plain,
( ~ spl2_7
| ~ spl2_139
| spl2_202
| ~ spl2_291 ),
inference(sat_conversion,[],[f41313]) ).
cnf(s2846,plain,
( ~ spl2_7
| ~ spl2_203
| spl2_206
| ~ spl2_291 ),
inference(sat_conversion,[],[f41315]) ).
cnf(s2848,plain,
( ~ spl2_234
| ~ spl2_455
| spl2_471 ),
inference(sat_conversion,[],[f41348]) ).
cnf(s2850,plain,
( ~ spl2_55
| spl2_470 ),
inference(sat_conversion,[],[f41399]) ).
cnf(s2853,plain,
( spl2_38
| ~ spl2_40
| ~ spl2_149 ),
inference(sat_conversion,[],[f41479]) ).
cnf(s2854,plain,
( spl2_4
| spl2_38
| ~ spl2_149 ),
inference(sat_conversion,[],[f41481]) ).
cnf(s2855,plain,
( ~ spl2_32
| ~ spl2_181 ),
inference(sat_conversion,[],[f41488]) ).
cnf(s2874,plain,
( ~ spl2_170
| ~ spl2_244
| spl2_364
| ~ spl2_369 ),
inference(sat_conversion,[],[f41791]) ).
cnf(s2889,plain,
( spl2_94
| ~ spl2_168
| ~ spl2_233
| ~ spl2_464 ),
inference(sat_conversion,[],[f41981]) ).
cnf(s2893,plain,
( ~ spl2_55
| ~ spl2_168
| spl2_177 ),
inference(sat_conversion,[],[f41987]) ).
cnf(s2914,plain,
( ~ spl2_177
| ~ spl2_418
| ~ spl2_484 ),
inference(sat_conversion,[],[f42342]) ).
cnf(s2916,plain,
( ~ spl2_40
| ~ spl2_149
| spl2_503 ),
inference(sat_conversion,[],[f42379]) ).
cnf(s2959,plain,
( ~ spl2_258
| ~ spl2_417
| ~ spl2_420
| spl2_456 ),
inference(sat_conversion,[],[f42866]) ).
cnf(s2974,plain,
( spl2_17
| ~ spl2_38
| ~ spl2_110
| ~ spl2_178 ),
inference(sat_conversion,[],[f43104]) ).
cnf(s2978,plain,
( spl2_4
| ~ spl2_38
| ~ spl2_211
| ~ spl2_246 ),
inference(sat_conversion,[],[f43112]) ).
cnf(s3000,plain,
( ~ spl2_92
| ~ spl2_110
| ~ spl2_161 ),
inference(sat_conversion,[],[f43266]) ).
cnf(s3001,plain,
( ~ spl2_84
| ~ spl2_92
| ~ spl2_110
| ~ spl2_152 ),
inference(sat_conversion,[],[f43268]) ).
cnf(s3009,plain,
( ~ spl2_84
| ~ spl2_92
| ~ spl2_104 ),
inference(sat_conversion,[],[f43357]) ).
cnf(s3022,plain,
( ~ spl2_67
| ~ spl2_94
| ~ spl2_178 ),
inference(sat_conversion,[],[f43471]) ).
cnf(s3047,plain,
( spl2_92
| spl2_93
| ~ spl2_106
| spl2_110 ),
inference(sat_conversion,[],[f44558]) ).
cnf(s3048,plain,
( ~ spl2_106
| spl2_194
| spl2_211
| spl2_281 ),
inference(sat_conversion,[],[f44559]) ).
cnf(s3053,plain,
( ~ spl2_130
| ~ spl2_203
| spl2_306
| spl2_307 ),
inference(sat_conversion,[],[f44717]) ).
cnf(s3056,plain,
( ~ spl2_169
| ~ spl2_181
| ~ spl2_391 ),
inference(sat_conversion,[],[f44739]) ).
cnf(s3076,plain,
( ~ spl2_202
| spl2_215
| ~ spl2_250
| ~ spl2_503 ),
inference(sat_conversion,[],[f44817]) ).
cnf(s3088,plain,
( ~ spl2_194
| ~ spl2_307
| ~ spl2_346 ),
inference(sat_conversion,[],[f44948]) ).
cnf(s3094,plain,
( ~ spl2_14
| spl2_198
| ~ spl2_221 ),
inference(sat_conversion,[],[f44960]) ).
cnf(s3096,plain,
( ~ spl2_14
| ~ spl2_118
| spl2_178 ),
inference(sat_conversion,[],[f44962]) ).
cnf(s3098,plain,
( ~ spl2_84
| ~ spl2_208
| ~ spl2_286
| spl2_480 ),
inference(sat_conversion,[],[f44964]) ).
cnf(s3100,plain,
( spl2_17
| ~ spl2_92
| spl2_101 ),
inference(sat_conversion,[],[f44966]) ).
cnf(s3104,plain,
( ~ spl2_194
| ~ spl2_208
| spl2_302 ),
inference(sat_conversion,[],[f44971]) ).
cnf(s3116,plain,
( spl2_182
| spl2_188
| ~ spl2_191
| ~ spl2_309 ),
inference(sat_conversion,[],[f45049]) ).
cnf(s3120,plain,
( spl2_195
| spl2_204
| spl2_299 ),
inference(sat_conversion,[],[f45078]) ).
cnf(s3122,plain,
( ~ spl2_31
| ~ spl2_38
| ~ spl2_204
| ~ spl2_250 ),
inference(sat_conversion,[],[f45090]) ).
cnf(s3142,plain,
( ~ spl2_149
| ~ spl2_180
| ~ spl2_520 ),
inference(sat_conversion,[],[f45327]) ).
cnf(s3158,plain,
( ~ spl2_31
| ~ spl2_178
| ~ spl2_391 ),
inference(sat_conversion,[],[f45476]) ).
cnf(s3167,plain,
( ~ spl2_204
| ~ spl2_215
| ~ spl2_308 ),
inference(sat_conversion,[],[f45554]) ).
cnf(s3169,plain,
( ~ spl2_31
| ~ spl2_38
| spl2_139
| ~ spl2_204 ),
inference(sat_conversion,[],[f45559]) ).
cnf(s3194,plain,
( ~ spl2_126
| ~ spl2_206
| ~ spl2_211
| ~ spl2_307 ),
inference(sat_conversion,[],[f45910]) ).
cnf(s3195,plain,
( ~ spl2_126
| ~ spl2_202
| ~ spl2_250
| ~ spl2_301 ),
inference(sat_conversion,[],[f45912]) ).
cnf(s3218,plain,
( ~ spl2_44
| ~ spl2_92
| ~ spl2_194
| ~ spl2_208 ),
inference(sat_conversion,[],[f46203]) ).
cnf(s3219,plain,
( ~ spl2_29
| ~ spl2_44
| ~ spl2_194
| ~ spl2_246 ),
inference(sat_conversion,[],[f46205]) ).
cnf(s3220,plain,
( ~ spl2_44
| ~ spl2_170
| ~ spl2_194
| ~ spl2_204 ),
inference(sat_conversion,[],[f46207]) ).
cnf(s3265,plain,
( spl2_21
| spl2_29
| spl2_40
| spl2_149
| ~ spl2_454 ),
inference(sat_conversion,[],[f46792]) ).
cnf(s3289,plain,
( ~ spl2_20
| ~ spl2_92
| ~ spl2_345 ),
inference(sat_conversion,[],[f47010]) ).
cnf(s3307,plain,
( ~ spl2_94
| ~ spl2_301
| ~ spl2_364 ),
inference(sat_conversion,[],[f47189]) ).
cnf(s3317,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_180
| ~ spl2_188 ),
inference(sat_conversion,[],[f47280]) ).
cnf(s3325,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_194
| ~ spl2_206 ),
inference(sat_conversion,[],[f47364]) ).
cnf(s3326,plain,
( ~ spl2_47
| ~ spl2_84
| ~ spl2_206
| ~ spl2_307 ),
inference(sat_conversion,[],[f47366]) ).
cnf(s3348,plain,
( ~ spl2_29
| spl2_67
| ~ spl2_111
| ~ spl2_178 ),
inference(sat_conversion,[],[f47857]) ).
cnf(s3355,plain,
( ~ spl2_171
| spl2_197
| spl2_198
| ~ spl2_333 ),
inference(sat_conversion,[],[f48288]) ).
cnf(s3356,plain,
( ~ spl2_171
| spl2_207
| spl2_208
| ~ spl2_324 ),
inference(sat_conversion,[],[f48289]) ).
cnf(s3377,plain,
( spl2_112
| ~ spl2_118 ),
inference(sat_conversion,[],[f49494]) ).
cnf(s3391,plain,
( spl2_180
| spl2_186
| ~ spl2_204
| ~ spl2_277
| spl2_356
| ~ spl2_401 ),
inference(sat_conversion,[],[f51689]) ).
cnf(s3392,plain,
( spl2_149
| spl2_180
| ~ spl2_184
| spl2_186 ),
inference(sat_conversion,[],[f51822]) ).
cnf(s3406,plain,
( ~ spl2_76
| ~ spl2_140
| ~ spl2_178
| spl2_202
| ~ spl2_204
| spl2_473 ),
inference(sat_conversion,[],[f52256]) ).
cnf(s3412,plain,
( ~ spl2_79
| spl2_198
| ~ spl2_211
| spl2_274 ),
inference(sat_conversion,[],[f52579]) ).
cnf(s3414,plain,
( ~ spl2_79
| spl2_198
| ~ spl2_307
| spl2_536 ),
inference(sat_conversion,[],[f52589]) ).
cnf(s3416,plain,
( ~ spl2_79
| spl2_198
| spl2_208 ),
inference(sat_conversion,[],[f52592]) ).
cnf(s3420,plain,
( ~ spl2_54
| ~ spl2_79
| spl2_237
| spl2_538 ),
inference(sat_conversion,[],[f52606]) ).
cnf(s3424,plain,
( ~ spl2_79
| ~ spl2_94
| spl2_198
| ~ spl2_206
| ~ spl2_246
| spl2_353 ),
inference(sat_conversion,[],[f52611]) ).
cnf(s3427,plain,
( spl2_194
| spl2_208
| ~ spl2_319 ),
inference(sat_conversion,[],[f52797]) ).
cnf(s3445,plain,
( ~ spl2_17
| spl2_308
| spl2_454 ),
inference(sat_conversion,[],[f53181]) ).
cnf(s3457,plain,
( ~ spl2_44
| ~ spl2_219
| spl2_281
| spl2_308
| spl2_543 ),
inference(sat_conversion,[],[f54764]) ).
cnf(s3463,plain,
( ~ spl2_38
| ~ spl2_181
| spl2_192
| spl2_202
| ~ spl2_250
| ~ spl2_263
| spl2_356 ),
inference(sat_conversion,[],[f54848]) ).
cnf(s3465,plain,
( spl2_83
| spl2_84
| spl2_92
| ~ spl2_147 ),
inference(sat_conversion,[],[f55305]) ).
cnf(s3467,plain,
( ~ spl2_47
| spl2_149
| spl2_186
| ~ spl2_257
| spl2_532 ),
inference(sat_conversion,[],[f55460]) ).
cnf(s3468,plain,
( spl2_149
| spl2_180
| spl2_186
| ~ spl2_257 ),
inference(sat_conversion,[],[f55461]) ).
cnf(s3476,plain,
( ~ spl2_118
| spl2_549 ),
inference(sat_conversion,[],[f55575]) ).
cnf(s3478,plain,
( ~ spl2_78
| spl2_548 ),
inference(sat_conversion,[],[f55584]) ).
cnf(s3498,plain,
( ~ spl2_5
| ~ spl2_17
| ~ spl2_44
| spl2_308
| spl2_554 ),
inference(sat_conversion,[],[f57787]) ).
cnf(s3616,plain,
( ~ spl2_29
| ~ spl2_180
| ~ spl2_401 ),
inference(sat_conversion,[],[f61314]) ).
cnf(s3619,plain,
( ~ spl2_47
| ~ spl2_180
| spl2_532 ),
inference(sat_conversion,[],[f61317]) ).
cnf(s3621,plain,
( spl2_188
| ~ spl2_254
| ~ spl2_548
| spl2_597 ),
inference(sat_conversion,[],[f61364]) ).
cnf(s3622,plain,
( ~ spl2_29
| ~ spl2_254
| ~ spl2_456 ),
inference(sat_conversion,[],[f61366]) ).
cnf(s3623,plain,
( ~ spl2_169
| ~ spl2_254
| spl2_597 ),
inference(sat_conversion,[],[f61368]) ).
cnf(s3643,plain,
( ~ spl2_38
| ~ spl2_181
| ~ spl2_211
| ~ spl2_442 ),
inference(sat_conversion,[],[f61884]) ).
cnf(s3644,plain,
( ~ spl2_47
| ~ spl2_180
| ~ spl2_206
| ~ spl2_442 ),
inference(sat_conversion,[],[f61886]) ).
cnf(s3647,plain,
( ~ spl2_211
| ~ spl2_307
| ~ spl2_442
| ~ spl2_445 ),
inference(sat_conversion,[],[f61899]) ).
cnf(s3671,plain,
( ~ spl2_172
| spl2_221
| spl2_246
| ~ spl2_335 ),
inference(sat_conversion,[],[f61951]) ).
cnf(s3673,plain,
( ~ spl2_171
| spl2_229
| spl2_246
| ~ spl2_335 ),
inference(sat_conversion,[],[f61953]) ).
cnf(s3675,plain,
( ~ spl2_195
| spl2_197
| spl2_258
| ~ spl2_590 ),
inference(sat_conversion,[],[f61957]) ).
cnf(s3676,plain,
( ~ spl2_172
| spl2_198
| spl2_217
| ~ spl2_333 ),
inference(sat_conversion,[],[f61958]) ).
cnf(s3683,plain,
( spl2_204
| ~ spl2_244
| ~ spl2_548
| spl2_606 ),
inference(sat_conversion,[],[f62076]) ).
cnf(s3684,plain,
( ~ spl2_244
| ~ spl2_301
| spl2_606 ),
inference(sat_conversion,[],[f62078]) ).
cnf(s3686,plain,
( ~ spl2_20
| spl2_65
| ~ spl2_244
| ~ spl2_287 ),
inference(sat_conversion,[],[f62080]) ).
cnf(s3696,plain,
( ~ spl2_169
| ~ spl2_258
| spl2_594 ),
inference(sat_conversion,[],[f62262]) ).
cnf(s3698,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_180
| ~ spl2_258 ),
inference(sat_conversion,[],[f62265]) ).
cnf(s3702,plain,
( ~ spl2_123
| spl2_301 ),
inference(sat_conversion,[],[f62272]) ).
cnf(s3703,plain,
( ~ spl2_172
| spl2_208
| spl2_304
| ~ spl2_324 ),
inference(sat_conversion,[],[f62274]) ).
cnf(s3741,plain,
( spl2_188
| ~ spl2_258
| ~ spl2_548
| spl2_594 ),
inference(sat_conversion,[],[f62580]) ).
cnf(s3746,plain,
( ~ spl2_20
| ~ spl2_188
| ~ spl2_532 ),
inference(sat_conversion,[],[f62634]) ).
cnf(s3748,plain,
( ~ spl2_44
| ~ spl2_194
| spl2_543 ),
inference(sat_conversion,[],[f62693]) ).
cnf(s3749,plain,
( ~ spl2_38
| ~ spl2_44
| ~ spl2_194
| ~ spl2_211
| ~ spl2_454
| spl2_545 ),
inference(sat_conversion,[],[f62694]) ).
cnf(s3759,plain,
( ~ spl2_38
| ~ spl2_181
| ~ spl2_250
| ~ spl2_355 ),
inference(sat_conversion,[],[f62963]) ).
cnf(s3760,plain,
( ~ spl2_38
| spl2_191
| ~ spl2_250
| ~ spl2_355 ),
inference(sat_conversion,[],[f62972]) ).
cnf(s3782,plain,
( spl2_202
| ~ spl2_244
| ~ spl2_549
| spl2_606 ),
inference(sat_conversion,[],[f63546]) ).
cnf(s3786,plain,
( spl2_92
| ~ spl2_98
| spl2_130
| ~ spl2_309 ),
inference(sat_conversion,[],[f63558]) ).
cnf(s3798,plain,
( ~ spl2_156
| spl2_180
| spl2_181
| ~ spl2_203
| ~ spl2_586 ),
inference(sat_conversion,[],[f63606]) ).
cnf(s3803,plain,
( spl2_84
| spl2_621 ),
inference(sat_conversion,[],[f63620]) ).
cnf(s3806,plain,
( spl2_180
| ~ spl2_258
| ~ spl2_549
| spl2_594 ),
inference(sat_conversion,[],[f63628]) ).
cnf(s3812,plain,
( ~ spl2_4
| ~ spl2_141
| spl2_180
| spl2_181
| ~ spl2_590 ),
inference(sat_conversion,[],[f63652]) ).
cnf(s3816,plain,
( spl2_17
| ~ spl2_38
| ~ spl2_181
| ~ spl2_258 ),
inference(sat_conversion,[],[f63667]) ).
cnf(s3830,plain,
( ~ spl2_172
| spl2_208
| spl2_304
| ~ spl2_324 ),
inference(sat_conversion,[],[f63708]) ).
cnf(s3834,plain,
( ~ spl2_20
| ~ spl2_31
| ~ spl2_198
| ~ spl2_505 ),
inference(sat_conversion,[],[f63722]) ).
cnf(s3837,plain,
( ~ spl2_4
| spl2_84
| ~ spl2_98
| spl2_118 ),
inference(sat_conversion,[],[f63734]) ).
cnf(s3841,plain,
( spl2_17
| ~ spl2_38
| ~ spl2_198
| ~ spl2_211 ),
inference(sat_conversion,[],[f63746]) ).
cnf(s3842,plain,
( spl2_5
| spl2_6
| ~ spl2_7 ),
inference(sat_conversion,[],[f63748]) ).
cnf(s3848,plain,
( ~ spl2_92
| spl2_180
| ~ spl2_401
| ~ spl2_549 ),
inference(sat_conversion,[],[f63765]) ).
cnf(s3850,plain,
( ~ spl2_31
| ~ spl2_38
| ~ spl2_188
| spl2_191 ),
inference(sat_conversion,[],[f63778]) ).
cnf(s3851,plain,
( spl2_20
| spl2_31
| ~ spl2_156
| spl2_558 ),
inference(sat_conversion,[],[f63786]) ).
cnf(s3858,plain,
( ~ spl2_4
| spl2_180
| spl2_186
| ~ spl2_191
| spl2_202
| ~ spl2_590 ),
inference(sat_conversion,[],[f63799]) ).
cnf(s3861,plain,
( ~ spl2_4
| spl2_71
| spl2_84
| ~ spl2_98 ),
inference(sat_conversion,[],[f63808]) ).
cnf(s3865,plain,
( ~ spl2_4
| spl2_20
| spl2_31
| spl2_147 ),
inference(sat_conversion,[],[f63819]) ).
cnf(s3866,plain,
( ~ spl2_4
| spl2_180
| spl2_181
| spl2_192
| spl2_202
| ~ spl2_590 ),
inference(sat_conversion,[],[f63821]) ).
cnf(s3874,plain,
( ~ spl2_4
| spl2_181
| spl2_192
| spl2_202
| spl2_254
| ~ spl2_590 ),
inference(sat_conversion,[],[f63835]) ).
cnf(s3880,plain,
( ~ spl2_4
| spl2_31
| ~ spl2_44
| ~ spl2_47
| spl2_104
| ~ spl2_156 ),
inference(sat_conversion,[],[f63850]) ).
cnf(s3893,plain,
( ~ spl2_4
| spl2_70
| spl2_84
| ~ spl2_98 ),
inference(sat_conversion,[],[f63882]) ).
cnf(s3897,plain,
( ~ spl2_98
| spl2_644
| spl2_645 ),
inference(sat_conversion,[],[f63899]) ).
cnf(s3901,plain,
( spl2_21
| ~ spl2_47
| ~ spl2_107
| spl2_149
| spl2_646 ),
inference(sat_conversion,[],[f63906]) ).
cnf(s3902,plain,
( ~ spl2_4
| spl2_21
| spl2_29
| spl2_31
| spl2_147 ),
inference(sat_conversion,[],[f63907]) ).
cnf(s3915,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_20
| spl2_145 ),
inference(sat_conversion,[],[f63934]) ).
cnf(s3918,plain,
( spl2_21
| ~ spl2_47
| ~ spl2_105
| spl2_149
| spl2_646 ),
inference(sat_conversion,[],[f63937]) ).
cnf(s3920,plain,
( ~ spl2_4
| spl2_180
| spl2_181
| spl2_186
| spl2_206
| ~ spl2_586 ),
inference(sat_conversion,[],[f63940]) ).
cnf(s3921,plain,
( ~ spl2_47
| spl2_149
| ~ spl2_557
| spl2_646 ),
inference(sat_conversion,[],[f63942]) ).
cnf(s3925,plain,
( ~ spl2_4
| spl2_181
| spl2_186
| spl2_206
| spl2_254
| ~ spl2_586 ),
inference(sat_conversion,[],[f63950]) ).
cnf(s3927,plain,
( ~ spl2_44
| spl2_104
| spl2_308
| ~ spl2_556 ),
inference(sat_conversion,[],[f63956]) ).
cnf(s3928,plain,
( spl2_71
| spl2_84
| ~ spl2_98
| spl2_149 ),
inference(sat_conversion,[],[f63957]) ).
cnf(s3929,plain,
( ~ spl2_4
| spl2_180
| ~ spl2_191
| spl2_206
| ~ spl2_586 ),
inference(sat_conversion,[],[f63958]) ).
cnf(s3934,plain,
( ~ spl2_4
| spl2_180
| ~ spl2_191
| spl2_202
| ~ spl2_590 ),
inference(sat_conversion,[],[f63964]) ).
cnf(s3935,plain,
( spl2_40
| spl2_84
| ~ spl2_98
| spl2_118 ),
inference(sat_conversion,[],[f63966]) ).
cnf(s3936,plain,
( ~ spl2_4
| spl2_29
| spl2_31
| spl2_145 ),
inference(sat_conversion,[],[f63967]) ).
cnf(s3949,plain,
( ~ spl2_17
| spl2_557
| spl2_558 ),
inference(sat_conversion,[],[f64006]) ).
cnf(s3955,plain,
( spl2_20
| spl2_21
| ~ spl2_107
| spl2_149 ),
inference(sat_conversion,[],[f64068]) ).
cnf(s3956,plain,
( spl2_20
| ~ spl2_105
| spl2_149 ),
inference(sat_conversion,[],[f64071]) ).
cnf(s3958,plain,
( ~ spl2_44
| spl2_93
| ~ spl2_98
| spl2_105
| spl2_308
| spl2_346 ),
inference(sat_conversion,[],[f64085]) ).
cnf(s3965,plain,
( ~ spl2_6
| spl2_555 ),
inference(sat_conversion,[],[f64128]) ).
cnf(s3982,plain,
( ~ spl2_31
| ~ spl2_38
| ~ spl2_198
| ~ spl2_211 ),
inference(sat_conversion,[],[f64288]) ).
cnf(s3989,plain,
( spl2_194
| ~ spl2_203
| spl2_216
| ~ spl2_309 ),
inference(sat_conversion,[],[f64387]) ).
cnf(s4001,plain,
( ~ spl2_180
| ~ spl2_258
| ~ spl2_646 ),
inference(sat_conversion,[],[f64484]) ).
cnf(s4002,plain,
( ~ spl2_198
| ~ spl2_206
| ~ spl2_646 ),
inference(sat_conversion,[],[f64485]) ).
cnf(s4003,plain,
( ~ spl2_84
| ~ spl2_178
| ~ spl2_646 ),
inference(sat_conversion,[],[f64487]) ).
cnf(s4006,plain,
( spl2_194
| ~ spl2_246
| ~ spl2_548
| spl2_661 ),
inference(sat_conversion,[],[f64542]) ).
cnf(s4007,plain,
( spl2_202
| spl2_301
| ~ spl2_549 ),
inference(sat_conversion,[],[f64581]) ).
cnf(s4009,plain,
( spl2_204
| spl2_301
| ~ spl2_548 ),
inference(sat_conversion,[],[f64587]) ).
cnf(s4010,plain,
( ~ spl2_78
| spl2_204
| spl2_301 ),
inference(sat_conversion,[],[f64593]) ).
cnf(s4011,plain,
( ~ spl2_112
| spl2_192
| spl2_202
| spl2_300
| spl2_301 ),
inference(sat_conversion,[],[f64595]) ).
cnf(s4021,plain,
( spl2_21
| ~ spl2_78
| spl2_83
| spl2_204
| spl2_301 ),
inference(sat_conversion,[],[f64614]) ).
cnf(s4041,plain,
( ~ spl2_555
| spl2_650 ),
inference(sat_conversion,[],[f64821]) ).
cnf(s4044,plain,
( ~ spl2_203
| spl2_206
| ~ spl2_555 ),
inference(sat_conversion,[],[f64890]) ).
cnf(s4048,plain,
( spl2_92
| ~ spl2_98
| spl2_107
| spl2_308 ),
inference(sat_conversion,[],[f64906]) ).
cnf(s4050,plain,
( spl2_92
| spl2_666 ),
inference(sat_conversion,[],[f64912]) ).
cnf(s4052,plain,
( spl2_20
| ~ spl2_157
| spl2_308
| spl2_558 ),
inference(sat_conversion,[],[f64914]) ).
cnf(s4055,plain,
( ~ spl2_206
| ~ spl2_208
| ~ spl2_345 ),
inference(sat_conversion,[],[f64923]) ).
cnf(s4056,plain,
( spl2_178
| spl2_668 ),
inference(sat_conversion,[],[f64930]) ).
cnf(s4060,plain,
( spl2_180
| ~ spl2_191
| ~ spl2_555 ),
inference(sat_conversion,[],[f64937]) ).
cnf(s4065,plain,
( ~ spl2_4
| spl2_83
| spl2_94
| spl2_96
| ~ spl2_98 ),
inference(sat_conversion,[],[f64947]) ).
cnf(s4084,plain,
( ~ spl2_4
| spl2_83
| spl2_94
| spl2_110
| ~ spl2_168
| spl2_180 ),
inference(sat_conversion,[],[f64991]) ).
cnf(s4085,plain,
( spl2_110
| spl2_671 ),
inference(sat_conversion,[],[f64998]) ).
cnf(s4088,plain,
( ~ spl2_4
| spl2_94
| spl2_110
| ~ spl2_168
| spl2_180 ),
inference(sat_conversion,[],[f65008]) ).
cnf(s4089,plain,
( ~ spl2_4
| spl2_94
| spl2_110
| ~ spl2_168
| ~ spl2_247 ),
inference(sat_conversion,[],[f65009]) ).
cnf(s4096,plain,
( ~ spl2_4
| spl2_94
| spl2_110
| spl2_549 ),
inference(sat_conversion,[],[f65022]) ).
cnf(s4097,plain,
( ~ spl2_4
| spl2_83
| spl2_94
| spl2_110
| ~ spl2_168
| spl2_180
| spl2_186 ),
inference(sat_conversion,[],[f65023]) ).
cnf(s4098,plain,
( ~ spl2_4
| spl2_83
| spl2_94
| spl2_110
| spl2_549 ),
inference(sat_conversion,[],[f65024]) ).
cnf(s4105,plain,
( ~ spl2_20
| ~ spl2_47
| spl2_646 ),
inference(sat_conversion,[],[f65072]) ).
cnf(s4128,plain,
( ~ spl2_180
| ~ spl2_255
| ~ spl2_345 ),
inference(sat_conversion,[],[f65493]) ).
cnf(s4151,plain,
( ~ spl2_191
| ~ spl2_216
| ~ spl2_587 ),
inference(sat_conversion,[],[f65881]) ).
cnf(s4153,plain,
( ~ spl2_221
| ~ spl2_247
| ~ spl2_587 ),
inference(sat_conversion,[],[f65892]) ).
cnf(s4155,plain,
( ~ spl2_172
| ~ spl2_587
| ~ spl2_589
| spl2_601 ),
inference(sat_conversion,[],[f65909]) ).
cnf(s4158,plain,
( ~ spl2_156
| ~ spl2_191
| spl2_206
| spl2_211
| ~ spl2_587 ),
inference(sat_conversion,[],[f65920]) ).
cnf(s4162,plain,
( ~ spl2_4
| spl2_180
| ~ spl2_203
| spl2_206
| spl2_212
| ~ spl2_587 ),
inference(sat_conversion,[],[f65933]) ).
cnf(s4164,plain,
( ~ spl2_4
| spl2_180
| spl2_186
| spl2_206
| spl2_211
| ~ spl2_587 ),
inference(sat_conversion,[],[f65936]) ).
cnf(s4166,plain,
( ~ spl2_4
| spl2_180
| ~ spl2_203
| spl2_206
| ~ spl2_587 ),
inference(sat_conversion,[],[f65939]) ).
cnf(s4170,plain,
( spl2_92
| ~ spl2_98
| ~ spl2_558 ),
inference(sat_conversion,[],[f65981]) ).
cnf(s4171,plain,
( spl2_194
| ~ spl2_203
| ~ spl2_558 ),
inference(sat_conversion,[],[f65984]) ).
cnf(s4174,plain,
( ~ spl2_29
| ~ spl2_246
| ~ spl2_543 ),
inference(sat_conversion,[],[f66077]) ).
cnf(s4193,plain,
( spl2_83
| ~ spl2_139
| spl2_204
| spl2_226
| spl2_308 ),
inference(sat_conversion,[],[f66190]) ).
cnf(s4207,plain,
( ~ spl2_4
| ~ spl2_139
| spl2_202
| spl2_229 ),
inference(sat_conversion,[],[f66307]) ).
cnf(s4210,plain,
( ~ spl2_139
| spl2_140
| spl2_202
| ~ spl2_240 ),
inference(sat_conversion,[],[f66311]) ).
cnf(s4211,plain,
( ~ spl2_4
| ~ spl2_139
| spl2_202
| spl2_230 ),
inference(sat_conversion,[],[f66312]) ).
cnf(s4215,plain,
( spl2_77
| spl2_92
| spl2_93 ),
inference(sat_conversion,[],[f66339]) ).
cnf(s4243,plain,
( ~ spl2_202
| ~ spl2_355
| ~ spl2_532 ),
inference(sat_conversion,[],[f66686]) ).
cnf(s4286,plain,
( ~ spl2_179
| ~ spl2_205
| ~ spl2_586 ),
inference(sat_conversion,[],[f67372]) ).
cnf(s4290,plain,
( ~ spl2_176
| spl2_179
| spl2_198
| ~ spl2_587 ),
inference(sat_conversion,[],[f67455]) ).
cnf(s4295,plain,
( ~ spl2_98
| spl2_644
| spl2_645 ),
inference(sat_conversion,[],[f67462]) ).
cnf(s4299,plain,
( spl2_84
| spl2_110
| ~ spl2_156
| spl2_644 ),
inference(sat_conversion,[],[f67476]) ).
cnf(s4300,plain,
( spl2_110
| ~ spl2_168
| spl2_175
| ~ spl2_191 ),
inference(sat_conversion,[],[f67477]) ).
cnf(s4303,plain,
( ~ spl2_98
| ~ spl2_168
| ~ spl2_191
| spl2_645 ),
inference(sat_conversion,[],[f67485]) ).
cnf(s4304,plain,
( spl2_84
| spl2_110
| ~ spl2_156
| ~ spl2_168
| ~ spl2_191 ),
inference(sat_conversion,[],[f67488]) ).
cnf(s4309,plain,
( ~ spl2_4
| spl2_84
| spl2_110
| ~ spl2_168
| ~ spl2_247 ),
inference(sat_conversion,[],[f67498]) ).
cnf(s4320,plain,
( ~ spl2_4
| spl2_84
| ~ spl2_98
| spl2_549 ),
inference(sat_conversion,[],[f67524]) ).
cnf(s4321,plain,
( ~ spl2_4
| spl2_84
| ~ spl2_98
| ~ spl2_168
| spl2_180 ),
inference(sat_conversion,[],[f67525]) ).
cnf(s4323,plain,
( ~ spl2_4
| spl2_83
| spl2_84
| ~ spl2_98
| ~ spl2_168
| spl2_180 ),
inference(sat_conversion,[],[f67527]) ).
cnf(s4336,plain,
( spl2_180
| ~ spl2_191
| ~ spl2_240
| spl2_258 ),
inference(sat_conversion,[],[f67696]) ).
cnf(s4339,plain,
( ~ spl2_4
| spl2_180
| spl2_189
| ~ spl2_191 ),
inference(sat_conversion,[],[f67700]) ).
cnf(s4351,plain,
( spl2_198
| ~ spl2_203
| spl2_206
| ~ spl2_240 ),
inference(sat_conversion,[],[f67801]) ).
cnf(s4354,plain,
( ~ spl2_140
| ~ spl2_202
| ~ spl2_646 ),
inference(sat_conversion,[],[f67833]) ).
cnf(s4362,plain,
( ~ spl2_74
| ~ spl2_139
| ~ spl2_141
| spl2_180
| ~ spl2_589 ),
inference(sat_conversion,[],[f68102]) ).
cnf(s4384,plain,
( ~ spl2_117
| ~ spl2_168
| spl2_188
| ~ spl2_233 ),
inference(sat_conversion,[],[f68701]) ).
cnf(s4385,plain,
( ~ spl2_119
| ~ spl2_168
| spl2_180
| ~ spl2_233 ),
inference(sat_conversion,[],[f68702]) ).
cnf(s4387,plain,
( ~ spl2_191
| ~ spl2_476
| ~ spl2_589
| ~ spl2_677 ),
inference(sat_conversion,[],[f69002]) ).
cnf(s4388,plain,
( ~ spl2_139
| spl2_301
| ~ spl2_644 ),
inference(sat_conversion,[],[f69074]) ).
cnf(s4389,plain,
( ~ spl2_203
| spl2_307
| ~ spl2_644 ),
inference(sat_conversion,[],[f69076]) ).
cnf(s4390,plain,
( spl2_169
| ~ spl2_191
| ~ spl2_644 ),
inference(sat_conversion,[],[f69078]) ).
cnf(s4394,plain,
( ~ spl2_198
| ~ spl2_246
| ~ spl2_390
| ~ spl2_588 ),
inference(sat_conversion,[],[f69123]) ).
cnf(s4399,plain,
( ~ spl2_208
| ~ spl2_246
| ~ spl2_353 ),
inference(sat_conversion,[],[f69195]) ).
cnf(s4400,plain,
( ~ spl2_254
| ~ spl2_255
| ~ spl2_353 ),
inference(sat_conversion,[],[f69197]) ).
cnf(s4411,plain,
( spl2_193
| spl2_250
| ~ spl2_419
| spl2_448
| ~ spl2_488
| ~ spl2_589 ),
inference(sat_conversion,[],[f69703]) ).
cnf(s4437,plain,
( ~ spl2_94
| ~ spl2_255
| spl2_353
| ~ spl2_597 ),
inference(sat_conversion,[],[f70659]) ).
cnf(s4438,plain,
( ~ spl2_84
| ~ spl2_94
| spl2_111 ),
inference(sat_conversion,[],[f70708]) ).
cnf(s4441,plain,
( ~ spl2_139
| ~ spl2_172
| ~ spl2_209
| spl2_307
| ~ spl2_671 ),
inference(sat_conversion,[],[f70798]) ).
cnf(s4442,plain,
( ~ spl2_94
| ~ spl2_208
| spl2_353
| ~ spl2_661 ),
inference(sat_conversion,[],[f70896]) ).
cnf(s4501,plain,
( ~ spl2_170
| ~ spl2_442
| spl2_475 ),
inference(sat_conversion,[],[f72177]) ).
cnf(s4516,plain,
( ~ spl2_54
| ~ spl2_693 ),
inference(sat_conversion,[],[f72334]) ).
cnf(s4517,plain,
( ~ spl2_371
| ~ spl2_384
| ~ spl2_693 ),
inference(sat_conversion,[],[f72335]) ).
cnf(s4518,plain,
( ~ spl2_244
| ~ spl2_254
| ~ spl2_693 ),
inference(sat_conversion,[],[f72345]) ).
cnf(s4524,plain,
( ~ spl2_4
| ~ spl2_156
| spl2_180
| spl2_181
| ~ spl2_244
| ~ spl2_693 ),
inference(sat_conversion,[],[f72369]) ).
cnf(s4531,plain,
( ~ spl2_244
| ~ spl2_254
| ~ spl2_475
| spl2_695 ),
inference(sat_conversion,[],[f72427]) ).
cnf(s4551,plain,
( ~ spl2_4
| spl2_180
| spl2_187
| ~ spl2_191 ),
inference(sat_conversion,[],[f72802]) ).
cnf(s4553,plain,
( ~ spl2_4
| spl2_180
| spl2_186
| spl2_187
| ~ spl2_191 ),
inference(sat_conversion,[],[f72808]) ).
cnf(s4555,plain,
( ~ spl2_47
| ~ spl2_180
| ~ spl2_202
| ~ spl2_371 ),
inference(sat_conversion,[],[f72811]) ).
cnf(s4561,plain,
( ~ spl2_110
| ~ spl2_234
| ~ spl2_255
| ~ spl2_694 ),
inference(sat_conversion,[],[f72828]) ).
cnf(s4576,plain,
( ~ spl2_29
| ~ spl2_68
| ~ spl2_258
| ~ spl2_374 ),
inference(sat_conversion,[],[f72859]) ).
cnf(s4579,plain,
( ~ spl2_68
| ~ spl2_258
| ~ spl2_338
| spl2_701 ),
inference(sat_conversion,[],[f72866]) ).
cnf(s4581,plain,
( ~ spl2_84
| ~ spl2_92
| ~ spl2_208
| ~ spl2_322 ),
inference(sat_conversion,[],[f72868]) ).
cnf(s4583,plain,
( ~ spl2_54
| ~ spl2_308
| ~ spl2_338
| spl2_351 ),
inference(sat_conversion,[],[f72873]) ).
cnf(s4592,plain,
( ~ spl2_31
| ~ spl2_178
| ~ spl2_258
| ~ spl2_445 ),
inference(sat_conversion,[],[f72886]) ).
cnf(s4595,plain,
( ~ spl2_20
| ~ spl2_178
| ~ spl2_258
| ~ spl2_692 ),
inference(sat_conversion,[],[f72893]) ).
cnf(s4602,plain,
( ~ spl2_92
| ~ spl2_208
| ~ spl2_284
| spl2_336 ),
inference(sat_conversion,[],[f72905]) ).
cnf(s4605,plain,
( ~ spl2_4
| ~ spl2_119
| spl2_202
| ~ spl2_637 ),
inference(sat_conversion,[],[f72908]) ).
cnf(s4618,plain,
( ~ spl2_17
| ~ spl2_117
| spl2_204
| ~ spl2_637 ),
inference(sat_conversion,[],[f72927]) ).
cnf(s4633,plain,
( ~ spl2_119
| spl2_246
| ~ spl2_304 ),
inference(sat_conversion,[],[f72947]) ).
cnf(s4634,plain,
( ~ spl2_4
| spl2_186
| ~ spl2_191
| spl2_254
| spl2_257 ),
inference(sat_conversion,[],[f72948]) ).
cnf(s4645,plain,
( ~ spl2_4
| ~ spl2_203
| spl2_206
| spl2_221 ),
inference(sat_conversion,[],[f72983]) ).
cnf(s4648,plain,
( ~ spl2_194
| ~ spl2_246
| ~ spl2_374
| ~ spl2_442 ),
inference(sat_conversion,[],[f72990]) ).
cnf(s4650,plain,
( ~ spl2_119
| ~ spl2_177
| spl2_254 ),
inference(sat_conversion,[],[f72992]) ).
cnf(s4652,plain,
( ~ spl2_4
| ~ spl2_203
| spl2_206
| spl2_222 ),
inference(sat_conversion,[],[f73001]) ).
cnf(s4657,plain,
( ~ spl2_4
| spl2_184
| ~ spl2_191
| spl2_254 ),
inference(sat_conversion,[],[f73011]) ).
cnf(s4660,plain,
( ~ spl2_4
| ~ spl2_203
| spl2_219
| spl2_246 ),
inference(sat_conversion,[],[f73015]) ).
cnf(s4664,plain,
( ~ spl2_4
| ~ spl2_139
| ~ spl2_172
| spl2_202
| spl2_206 ),
inference(sat_conversion,[],[f73020]) ).
cnf(s4699,plain,
( ~ spl2_180
| ~ spl2_255
| spl2_288 ),
inference(sat_conversion,[],[f73267]) ).
cnf(s4700,plain,
( spl2_43
| ~ spl2_180
| ~ spl2_258 ),
inference(sat_conversion,[],[f73268]) ).
cnf(s4702,plain,
( ~ spl2_4
| spl2_181
| spl2_184
| spl2_186
| spl2_254 ),
inference(sat_conversion,[],[f73292]) ).
cnf(s4713,plain,
( ~ spl2_170
| ~ spl2_206
| spl2_321 ),
inference(sat_conversion,[],[f73325]) ).
cnf(s4714,plain,
( spl2_43
| ~ spl2_198
| ~ spl2_206 ),
inference(sat_conversion,[],[f73326]) ).
cnf(s4715,plain,
( spl2_44
| ~ spl2_188
| ~ spl2_258 ),
inference(sat_conversion,[],[f73350]) ).
cnf(s4716,plain,
( ~ spl2_188
| ~ spl2_255
| spl2_302 ),
inference(sat_conversion,[],[f73351]) ).
cnf(s4737,plain,
( ~ spl2_191
| ~ spl2_477
| ~ spl2_589
| ~ spl2_678 ),
inference(sat_conversion,[],[f73639]) ).
cnf(s4754,plain,
( spl2_132
| spl2_712 ),
inference(sat_conversion,[],[f73800]) ).
cnf(s4756,plain,
( spl2_83
| spl2_140
| spl2_250
| spl2_678 ),
inference(sat_conversion,[],[f73806]) ).
cnf(s4758,plain,
( spl2_15
| ~ spl2_17
| spl2_83
| spl2_140
| spl2_278 ),
inference(sat_conversion,[],[f73809]) ).
cnf(s4759,plain,
( spl2_149
| spl2_156 ),
inference(sat_conversion,[],[f73811]) ).
cnf(s4760,plain,
( spl2_149
| spl2_555
| spl2_556 ),
inference(sat_conversion,[],[f73812]) ).
cnf(s4761,plain,
( spl2_149
| spl2_157 ),
inference(sat_conversion,[],[f73813]) ).
cnf(s4764,plain,
( spl2_183
| spl2_269 ),
inference(sat_conversion,[],[f73827]) ).
cnf(s4768,plain,
( spl2_132
| spl2_169
| spl2_182
| spl2_269
| spl2_299 ),
inference(sat_conversion,[],[f73844]) ).
cnf(s4772,plain,
( spl2_255
| ~ spl2_324
| ~ spl2_593 ),
inference(sat_conversion,[],[f73855]) ).
cnf(s4775,plain,
( spl2_5
| spl2_6
| spl2_149 ),
inference(sat_conversion,[],[f73864]) ).
cnf(s4776,plain,
( spl2_4
| ~ spl2_38
| ~ spl2_94
| ~ spl2_110 ),
inference(sat_conversion,[],[f73867]) ).
cnf(s4780,plain,
( spl2_17
| ~ spl2_194
| spl2_516 ),
inference(sat_conversion,[],[f73874]) ).
cnf(s4781,plain,
( spl2_40
| spl2_74 ),
inference(sat_conversion,[],[f73875]) ).
cnf(s4782,plain,
( spl2_254
| ~ spl2_335
| ~ spl2_593 ),
inference(sat_conversion,[],[f73876]) ).
cnf(s4783,plain,
( ~ spl2_4
| spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f73877]) ).
cnf(s4788,plain,
( ~ spl2_231
| spl2_269
| ~ spl2_593 ),
inference(sat_conversion,[],[f73895]) ).
cnf(s4789,plain,
( spl2_110
| spl2_169
| spl2_299
| spl2_373 ),
inference(sat_conversion,[],[f73897]) ).
cnf(s4791,plain,
( spl2_93
| spl2_132
| ~ spl2_139
| spl2_226
| spl2_301 ),
inference(sat_conversion,[],[f73901]) ).
cnf(s4794,plain,
( spl2_90
| ~ spl2_94
| ~ spl2_113
| ~ spl2_149 ),
inference(sat_conversion,[],[f73904]) ).
cnf(s4798,plain,
( spl2_15
| ~ spl2_26
| spl2_83
| spl2_140
| spl2_278 ),
inference(sat_conversion,[],[f73916]) ).
cnf(s4802,plain,
( spl2_258
| ~ spl2_333
| ~ spl2_593 ),
inference(sat_conversion,[],[f73931]) ).
cnf(s4803,plain,
( ~ spl2_4
| spl2_555
| spl2_556 ),
inference(sat_conversion,[],[f73932]) ).
cnf(s4809,plain,
( spl2_132
| spl2_169
| spl2_182
| ~ spl2_191
| spl2_299 ),
inference(sat_conversion,[],[f73944]) ).
cnf(s4811,plain,
( spl2_132
| spl2_644
| spl2_645 ),
inference(sat_conversion,[],[f73949]) ).
cnf(s4812,plain,
( spl2_21
| ~ spl2_94
| spl2_110
| spl2_132
| ~ spl2_554 ),
inference(sat_conversion,[],[f73951]) ).
cnf(s4869,plain,
( spl2_4
| spl2_37
| ~ spl2_149 ),
inference(sat_conversion,[],[f74067]) ).
cnf(s4882,plain,
( ~ spl2_66
| spl2_90
| ~ spl2_149
| ~ spl2_685 ),
inference(sat_conversion,[],[f74207]) ).
cnf(s4884,plain,
( spl2_4
| spl2_32
| ~ spl2_38
| ~ spl2_66 ),
inference(sat_conversion,[],[f74209]) ).
cnf(s4889,plain,
( ~ spl2_40
| spl2_238
| ~ spl2_278
| ~ spl2_606 ),
inference(sat_conversion,[],[f74257]) ).
cnf(s4892,plain,
( ~ spl2_149
| ~ spl2_269
| ~ spl2_278
| ~ spl2_695 ),
inference(sat_conversion,[],[f74333]) ).
cnf(s4896,plain,
( ~ spl2_90
| ~ spl2_254
| ~ spl2_269 ),
inference(sat_conversion,[],[f74397]) ).
cnf(s4899,plain,
( ~ spl2_40
| ~ spl2_94
| ~ spl2_254
| ~ spl2_445 ),
inference(sat_conversion,[],[f74403]) ).
cnf(s4900,plain,
( spl2_4
| ~ spl2_38
| ~ spl2_181
| ~ spl2_254 ),
inference(sat_conversion,[],[f74405]) ).
cnf(s4903,plain,
( ~ spl2_130
| spl2_644 ),
inference(sat_conversion,[],[f74444]) ).
cnf(s4909,plain,
( spl2_211
| spl2_212
| spl2_246
| spl2_249
| ~ spl2_279 ),
inference(sat_conversion,[],[f74479]) ).
cnf(s4911,plain,
( ~ spl2_113
| spl2_215
| ~ spl2_278
| ~ spl2_301 ),
inference(sat_conversion,[],[f74508]) ).
cnf(s4912,plain,
( ~ spl2_113
| spl2_215
| ~ spl2_278
| ~ spl2_301 ),
inference(sat_conversion,[],[f74509]) ).
cnf(s4929,plain,
( ~ spl2_26
| ~ spl2_78
| spl2_132 ),
inference(sat_conversion,[],[f74672]) ).
cnf(s4930,plain,
( ~ spl2_132
| ~ spl2_234
| spl2_237
| ~ spl2_685 ),
inference(sat_conversion,[],[f74673]) ).
cnf(s4931,plain,
( ~ spl2_29
| spl2_65
| ~ spl2_178
| ~ spl2_265 ),
inference(sat_conversion,[],[f74674]) ).
cnf(s4932,plain,
( ~ spl2_29
| ~ spl2_94
| ~ spl2_346 ),
inference(sat_conversion,[],[f74714]) ).
cnf(s4937,plain,
( ~ spl2_170
| ~ spl2_173
| spl2_455 ),
inference(sat_conversion,[],[f74839]) ).
cnf(s4939,plain,
( ~ spl2_132
| ~ spl2_278
| ~ spl2_471 ),
inference(sat_conversion,[],[f74880]) ).
cnf(s4944,plain,
( ~ spl2_140
| ~ spl2_178
| ~ spl2_471 ),
inference(sat_conversion,[],[f74890]) ).
cnf(s4945,plain,
( ~ spl2_169
| ~ spl2_355
| ~ spl2_471 ),
inference(sat_conversion,[],[f74892]) ).
cnf(s4948,plain,
( ~ spl2_173
| ~ spl2_307
| ~ spl2_471 ),
inference(sat_conversion,[],[f74898]) ).
cnf(s4952,plain,
( spl2_26
| spl2_308 ),
inference(sat_conversion,[],[f74908]) ).
cnf(s4953,plain,
( spl2_26
| spl2_308 ),
inference(sat_conversion,[],[f74911]) ).
cnf(s4978,plain,
( ~ spl2_144
| ~ spl2_180
| ~ spl2_269 ),
inference(sat_conversion,[],[f75042]) ).
cnf(s4986,plain,
( ~ spl2_144
| ~ spl2_206
| ~ spl2_249 ),
inference(sat_conversion,[],[f75102]) ).
cnf(s4995,plain,
( ~ spl2_204
| ~ spl2_301
| ~ spl2_346 ),
inference(sat_conversion,[],[f75243]) ).
cnf(s4996,plain,
( ~ spl2_68
| ~ spl2_178
| ~ spl2_346 ),
inference(sat_conversion,[],[f75244]) ).
cnf(s5002,plain,
( ~ spl2_40
| ~ spl2_244
| ~ spl2_254
| ~ spl2_694 ),
inference(sat_conversion,[],[f75271]) ).
cnf(s5012,plain,
( ~ spl2_176
| ~ spl2_197
| ~ spl2_589 ),
inference(sat_conversion,[],[f75370]) ).
cnf(s5027,plain,
( ~ spl2_132
| ~ spl2_308
| ~ spl2_346 ),
inference(sat_conversion,[],[f75471]) ).
cnf(s5038,plain,
( ~ spl2_104
| ~ spl2_149
| ~ spl2_308 ),
inference(sat_conversion,[],[f75503]) ).
cnf(s5043,plain,
( ~ spl2_183
| ~ spl2_191
| spl2_250
| spl2_278
| ~ spl2_589 ),
inference(sat_conversion,[],[f75509]) ).
cnf(s5057,plain,
( spl2_93
| spl2_132
| ~ spl2_139
| spl2_226
| spl2_301 ),
inference(sat_conversion,[],[f75565]) ).
cnf(s5068,plain,
( ~ spl2_29
| ~ spl2_40
| ~ spl2_161 ),
inference(sat_conversion,[],[f75644]) ).
cnf(s5078,plain,
( ~ spl2_29
| ~ spl2_44
| ~ spl2_204
| ~ spl2_244 ),
inference(sat_conversion,[],[f75771]) ).
cnf(s5085,plain,
( ~ spl2_121
| ~ spl2_207
| spl2_234 ),
inference(sat_conversion,[],[f75780]) ).
cnf(s5091,plain,
( ~ spl2_144
| ~ spl2_202
| ~ spl2_278 ),
inference(sat_conversion,[],[f75801]) ).
cnf(s5093,plain,
( ~ spl2_119
| ~ spl2_207
| spl2_244 ),
inference(sat_conversion,[],[f75803]) ).
cnf(s5098,plain,
( ~ spl2_68
| ~ spl2_93
| spl2_232 ),
inference(sat_conversion,[],[f75945]) ).
cnf(s5099,plain,
( ~ spl2_93
| spl2_188
| ~ spl2_204 ),
inference(sat_conversion,[],[f75946]) ).
cnf(s5102,plain,
( ~ spl2_93
| ~ spl2_244
| spl2_254 ),
inference(sat_conversion,[],[f75950]) ).
cnf(s5103,plain,
( ~ spl2_93
| spl2_180
| ~ spl2_202 ),
inference(sat_conversion,[],[f75951]) ).
cnf(s5107,plain,
( ~ spl2_93
| spl2_132
| ~ spl2_278 ),
inference(sat_conversion,[],[f75955]) ).
cnf(s5114,plain,
( ~ spl2_14
| spl2_23
| ~ spl2_27
| spl2_68
| ~ spl2_93 ),
inference(sat_conversion,[],[f75966]) ).
cnf(s5115,plain,
( ~ spl2_93
| spl2_168
| ~ spl2_195 ),
inference(sat_conversion,[],[f75967]) ).
cnf(s5118,plain,
( ~ spl2_93
| spl2_299 ),
inference(sat_conversion,[],[f75975]) ).
cnf(s5119,plain,
( spl2_68
| ~ spl2_93
| ~ spl2_178 ),
inference(sat_conversion,[],[f75976]) ).
cnf(s5120,plain,
( spl2_78
| spl2_92
| ~ spl2_93
| ~ spl2_666 ),
inference(sat_conversion,[],[f75977]) ).
cnf(s5123,plain,
( ~ spl2_17
| ~ spl2_26
| spl2_68
| ~ spl2_93
| ~ spl2_310 ),
inference(sat_conversion,[],[f75980]) ).
cnf(s5124,plain,
( ~ spl2_93
| spl2_197
| spl2_204
| ~ spl2_666 ),
inference(sat_conversion,[],[f75981]) ).
cnf(s5126,plain,
( ~ spl2_93
| spl2_197
| spl2_204
| ~ spl2_668 ),
inference(sat_conversion,[],[f75983]) ).
cnf(s5129,plain,
( ~ spl2_24
| spl2_140 ),
inference(sat_conversion,[],[f75987]) ).
cnf(s5131,plain,
( spl2_93
| spl2_132
| ~ spl2_139
| spl2_226
| spl2_301 ),
inference(sat_conversion,[],[f76009]) ).
cnf(s5148,plain,
( ~ spl2_38
| ~ spl2_40
| ~ spl2_244
| ~ spl2_250 ),
inference(sat_conversion,[],[f76076]) ).
cnf(s5152,plain,
( spl2_31
| ~ spl2_104
| ~ spl2_149
| spl2_454 ),
inference(sat_conversion,[],[f76083]) ).
cnf(s5153,plain,
( spl2_4
| ~ spl2_38
| ~ spl2_244
| ~ spl2_250 ),
inference(sat_conversion,[],[f76084]) ).
cnf(s5162,plain,
( ~ spl2_20
| ~ spl2_144
| ~ spl2_308 ),
inference(sat_conversion,[],[f76151]) ).
cnf(s5178,plain,
( ~ spl2_70
| spl2_186
| spl2_254
| spl2_269 ),
inference(sat_conversion,[],[f76316]) ).
cnf(s5180,plain,
( ~ spl2_70
| spl2_83
| spl2_94
| spl2_132 ),
inference(sat_conversion,[],[f76319]) ).
cnf(s5183,plain,
( ~ spl2_30
| ~ spl2_140
| ~ spl2_278 ),
inference(sat_conversion,[],[f76353]) ).
cnf(s5184,plain,
( ~ spl2_30
| ~ spl2_258
| ~ spl2_269 ),
inference(sat_conversion,[],[f76355]) ).
cnf(s5186,plain,
( ~ spl2_122
| spl2_234 ),
inference(sat_conversion,[],[f76376]) ).
cnf(s5193,plain,
( ~ spl2_38
| ~ spl2_181
| ~ spl2_250
| ~ spl2_371 ),
inference(sat_conversion,[],[f76516]) ).
cnf(s5195,plain,
( ~ spl2_38
| spl2_139
| ~ spl2_181
| ~ spl2_371 ),
inference(sat_conversion,[],[f76519]) ).
cnf(s5214,plain,
( ~ spl2_65
| ~ spl2_140
| ~ spl2_244
| ~ spl2_278 ),
inference(sat_conversion,[],[f76746]) ).
cnf(s5220,plain,
( spl2_83
| spl2_204
| spl2_226
| spl2_278
| spl2_308 ),
inference(sat_conversion,[],[f76755]) ).
cnf(s5223,plain,
( ~ spl2_65
| ~ spl2_198
| ~ spl2_246
| ~ spl2_249 ),
inference(sat_conversion,[],[f76760]) ).
cnf(s5237,plain,
( ~ spl2_65
| ~ spl2_94
| ~ spl2_132
| ~ spl2_178 ),
inference(sat_conversion,[],[f76880]) ).
cnf(s5242,plain,
( ~ spl2_232
| ~ spl2_306
| spl2_307 ),
inference(sat_conversion,[],[f77033]) ).
cnf(s5243,plain,
( ~ spl2_98
| spl2_203
| ~ spl2_306 ),
inference(sat_conversion,[],[f77035]) ).
cnf(s5251,plain,
( ~ spl2_123
| spl2_307 ),
inference(sat_conversion,[],[f77088]) ).
cnf(s5252,plain,
( ~ spl2_123
| ~ spl2_208
| spl2_363 ),
inference(sat_conversion,[],[f77093]) ).
cnf(s5254,plain,
( spl2_254
| spl2_269
| ~ spl2_556 ),
inference(sat_conversion,[],[f77149]) ).
cnf(s5255,plain,
( spl2_244
| spl2_278
| ~ spl2_556 ),
inference(sat_conversion,[],[f77151]) ).
cnf(s5262,plain,
( ~ spl2_44
| ~ spl2_188
| ~ spl2_204
| ~ spl2_355 ),
inference(sat_conversion,[],[f77225]) ).
cnf(s5278,plain,
( ~ spl2_194
| ~ spl2_442
| ~ spl2_456 ),
inference(sat_conversion,[],[f77454]) ).
cnf(s5292,plain,
( ~ spl2_141
| ~ spl2_189
| ~ spl2_590 ),
inference(sat_conversion,[],[f77642]) ).
cnf(s5303,plain,
( ~ spl2_92
| ~ spl2_208
| ~ spl2_543 ),
inference(sat_conversion,[],[f77830]) ).
cnf(s5306,plain,
( ~ spl2_255
| ~ spl2_258
| ~ spl2_269
| ~ spl2_275 ),
inference(sat_conversion,[],[f77869]) ).
cnf(s5308,plain,
( ~ spl2_140
| ~ spl2_258
| ~ spl2_475
| spl2_742 ),
inference(sat_conversion,[],[f77872]) ).
cnf(s5323,plain,
( ~ spl2_170
| ~ spl2_198
| ~ spl2_249
| ~ spl2_378 ),
inference(sat_conversion,[],[f78024]) ).
cnf(s5326,plain,
( ~ spl2_224
| ~ spl2_254
| ~ spl2_269
| ~ spl2_442 ),
inference(sat_conversion,[],[f78052]) ).
cnf(s5329,plain,
( ~ spl2_26
| ~ spl2_217
| spl2_249 ),
inference(sat_conversion,[],[f78104]) ).
cnf(s5330,plain,
( ~ spl2_173
| spl2_225
| ~ spl2_249
| ~ spl2_685 ),
inference(sat_conversion,[],[f78105]) ).
cnf(s5340,plain,
( ~ spl2_17
| ~ spl2_22
| spl2_204
| ~ spl2_643 ),
inference(sat_conversion,[],[f78120]) ).
cnf(s5343,plain,
( ~ spl2_38
| spl2_98
| ~ spl2_427
| ~ spl2_429 ),
inference(sat_conversion,[],[f78123]) ).
cnf(s5348,plain,
( ~ spl2_250
| ~ spl2_465 ),
inference(sat_conversion,[],[f78152]) ).
cnf(s5350,plain,
( ~ spl2_77
| ~ spl2_179
| spl2_255 ),
inference(sat_conversion,[],[f78156]) ).
cnf(s5366,plain,
( ~ spl2_110
| spl2_132
| ~ spl2_481 ),
inference(sat_conversion,[],[f78305]) ).
cnf(s5369,plain,
( ~ spl2_244
| ~ spl2_268
| ~ spl2_278
| ~ spl2_355 ),
inference(sat_conversion,[],[f78457]) ).
cnf(s5371,plain,
( ~ spl2_113
| ~ spl2_169
| ~ spl2_269
| spl2_520 ),
inference(sat_conversion,[],[f78547]) ).
cnf(s5372,plain,
( ~ spl2_249
| ~ spl2_520
| ~ spl2_588 ),
inference(sat_conversion,[],[f78561]) ).
cnf(s5374,plain,
( ~ spl2_278
| ~ spl2_355
| ~ spl2_520 ),
inference(sat_conversion,[],[f78565]) ).
cnf(s5375,plain,
( ~ spl2_132
| ~ spl2_169
| ~ spl2_520 ),
inference(sat_conversion,[],[f78566]) ).
cnf(s5377,plain,
( ~ spl2_140
| ~ spl2_270
| ~ spl2_278
| ~ spl2_355 ),
inference(sat_conversion,[],[f78590]) ).
cnf(s5380,plain,
( spl2_246
| ~ spl2_464
| ~ spl2_601 ),
inference(sat_conversion,[],[f78610]) ).
cnf(s5381,plain,
( ~ spl2_355
| ~ spl2_455
| spl2_693 ),
inference(sat_conversion,[],[f78626]) ).
cnf(s5383,plain,
( ~ spl2_278
| ~ spl2_455
| spl2_748 ),
inference(sat_conversion,[],[f78631]) ).
cnf(s5384,plain,
( ~ spl2_40
| ~ spl2_244
| ~ spl2_748 ),
inference(sat_conversion,[],[f78647]) ).
cnf(s5386,plain,
( ~ spl2_173
| ~ spl2_442
| ~ spl2_693 ),
inference(sat_conversion,[],[f78678]) ).
cnf(s5387,plain,
( ~ spl2_140
| ~ spl2_258
| ~ spl2_693 ),
inference(sat_conversion,[],[f78681]) ).
cnf(s5388,plain,
( ~ spl2_269
| ~ spl2_278
| ~ spl2_693 ),
inference(sat_conversion,[],[f78683]) ).
cnf(s5390,plain,
( spl2_203
| ~ spl2_413 ),
inference(sat_conversion,[],[f78687]) ).
cnf(s5392,plain,
( ~ spl2_204
| ~ spl2_371
| ~ spl2_456 ),
inference(sat_conversion,[],[f78689]) ).
cnf(s5393,plain,
( ~ spl2_211
| ~ spl2_465 ),
inference(sat_conversion,[],[f78692]) ).
cnf(s5402,plain,
( spl2_203
| ~ spl2_249
| spl2_252 ),
inference(sat_conversion,[],[f78701]) ).
cnf(s5427,plain,
( ~ spl2_37
| ~ spl2_206
| spl2_225
| ~ spl2_249 ),
inference(sat_conversion,[],[f78957]) ).
cnf(s5431,plain,
( ~ spl2_169
| ~ spl2_307
| ~ spl2_363
| ~ spl2_442 ),
inference(sat_conversion,[],[f79032]) ).
cnf(s5440,plain,
( ~ spl2_94
| ~ spl2_206
| ~ spl2_307
| ~ spl2_363 ),
inference(sat_conversion,[],[f79085]) ).
cnf(s5441,plain,
( ~ spl2_94
| ~ spl2_206
| ~ spl2_307
| ~ spl2_363 ),
inference(sat_conversion,[],[f79086]) ).
cnf(s5443,plain,
( ~ spl2_90
| ~ spl2_246
| ~ spl2_249 ),
inference(sat_conversion,[],[f79096]) ).
cnf(s5449,plain,
( spl2_132
| ~ spl2_168
| ~ spl2_191
| spl2_645 ),
inference(sat_conversion,[],[f79151]) ).
cnf(s5458,plain,
( ~ spl2_110
| ~ spl2_234
| ~ spl2_748 ),
inference(sat_conversion,[],[f79188]) ).
cnf(s5463,plain,
( spl2_94
| spl2_132
| ~ spl2_556 ),
inference(sat_conversion,[],[f79293]) ).
cnf(s5493,plain,
( ~ spl2_77
| ~ spl2_272
| spl2_548 ),
inference(sat_conversion,[],[f79761]) ).
cnf(s5495,plain,
( ~ spl2_26
| spl2_188
| ~ spl2_191
| ~ spl2_272 ),
inference(sat_conversion,[],[f79764]) ).
cnf(s5499,plain,
( ~ spl2_173
| ~ spl2_204
| ~ spl2_371
| ~ spl2_705 ),
inference(sat_conversion,[],[f79866]) ).
cnf(s5501,plain,
( ~ spl2_110
| ~ spl2_234
| ~ spl2_269
| ~ spl2_355
| spl2_394 ),
inference(sat_conversion,[],[f80001]) ).
cnf(s5508,plain,
( ~ spl2_140
| ~ spl2_255
| ~ spl2_258
| ~ spl2_371
| ~ spl2_594 ),
inference(sat_conversion,[],[f80265]) ).
cnf(s5509,plain,
( spl2_132
| ~ spl2_363
| ~ spl2_556
| spl2_750 ),
inference(sat_conversion,[],[f80270]) ).
cnf(s5512,plain,
( ~ spl2_132
| ~ spl2_363
| spl2_391 ),
inference(sat_conversion,[],[f80288]) ).
cnf(s5514,plain,
( ~ spl2_40
| spl2_90
| ~ spl2_132
| ~ spl2_265 ),
inference(sat_conversion,[],[f80291]) ).
cnf(s5515,plain,
( ~ spl2_196
| ~ spl2_587
| ~ spl2_589 ),
inference(sat_conversion,[],[f80295]) ).
cnf(s5518,plain,
( spl2_38
| spl2_139
| ~ spl2_278 ),
inference(sat_conversion,[],[f80301]) ).
cnf(s5521,plain,
( ~ spl2_168
| spl2_177
| spl2_208
| ~ spl2_587 ),
inference(sat_conversion,[],[f80310]) ).
cnf(s5522,plain,
( spl2_21
| ~ spl2_196
| spl2_355
| ~ spl2_587 ),
inference(sat_conversion,[],[f80311]) ).
cnf(s5528,plain,
( spl2_93
| ~ spl2_196
| spl2_355
| ~ spl2_587 ),
inference(sat_conversion,[],[f80321]) ).
cnf(s5530,plain,
( ~ spl2_110
| ~ spl2_208
| ~ spl2_211
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371
| ~ spl2_442 ),
inference(sat_conversion,[],[f80323]) ).
cnf(s5538,plain,
( spl2_169
| spl2_182
| ~ spl2_191
| ~ spl2_712 ),
inference(sat_conversion,[],[f80337]) ).
cnf(s5540,plain,
( ~ spl2_40
| ~ spl2_132
| ~ spl2_308
| ~ spl2_315 ),
inference(sat_conversion,[],[f80341]) ).
cnf(s5562,plain,
( spl2_38
| ~ spl2_181
| ~ spl2_269 ),
inference(sat_conversion,[],[f80444]) ).
cnf(s5564,plain,
( ~ spl2_110
| spl2_237
| ~ spl2_249
| ~ spl2_536 ),
inference(sat_conversion,[],[f80497]) ).
cnf(s5575,plain,
( ~ spl2_178
| ~ spl2_208
| spl2_275
| ~ spl2_381 ),
inference(sat_conversion,[],[f80617]) ).
cnf(s5577,plain,
( ~ spl2_132
| ~ spl2_208
| spl2_237
| ~ spl2_252 ),
inference(sat_conversion,[],[f80619]) ).
cnf(s5588,plain,
( ~ spl2_26
| ~ spl2_179
| spl2_269 ),
inference(sat_conversion,[],[f80699]) ).
cnf(s5595,plain,
( ~ spl2_208
| ~ spl2_237
| ~ spl2_249 ),
inference(sat_conversion,[],[f80764]) ).
cnf(s5596,plain,
( ~ spl2_94
| ~ spl2_208
| spl2_238
| ~ spl2_334 ),
inference(sat_conversion,[],[f80765]) ).
cnf(s5597,plain,
( spl2_132
| spl2_169
| spl2_182
| ~ spl2_183
| spl2_299 ),
inference(sat_conversion,[],[f80766]) ).
cnf(s5603,plain,
( ~ spl2_250
| ~ spl2_301
| ~ spl2_391 ),
inference(sat_conversion,[],[f80824]) ).
cnf(s5610,plain,
( ~ spl2_140
| ~ spl2_170
| spl2_378
| ~ spl2_381 ),
inference(sat_conversion,[],[f80927]) ).
cnf(s5632,plain,
( ~ spl2_20
| ~ spl2_140
| ~ spl2_178
| ~ spl2_412 ),
inference(sat_conversion,[],[f81227]) ).
cnf(s5633,plain,
( ~ spl2_169
| ~ spl2_180
| ~ spl2_355
| ~ spl2_412 ),
inference(sat_conversion,[],[f81229]) ).
cnf(s5634,plain,
( ~ spl2_4
| ~ spl2_75
| spl2_254
| ~ spl2_625 ),
inference(sat_conversion,[],[f81250]) ).
cnf(s5636,plain,
( ~ spl2_17
| ~ spl2_195
| spl2_258
| ~ spl2_613 ),
inference(sat_conversion,[],[f81301]) ).
cnf(s5642,plain,
( ~ spl2_238
| ~ spl2_254
| ~ spl2_255
| ~ spl2_269 ),
inference(sat_conversion,[],[f81364]) ).
cnf(s5643,plain,
( ~ spl2_214
| ~ spl2_254
| ~ spl2_269
| ~ spl2_371 ),
inference(sat_conversion,[],[f81365]) ).
cnf(s5645,plain,
( ~ spl2_254
| ~ spl2_255
| ~ spl2_371
| ~ spl2_754 ),
inference(sat_conversion,[],[f81367]) ).
cnf(s5650,plain,
( ~ spl2_254
| ~ spl2_364
| ~ spl2_371 ),
inference(sat_conversion,[],[f81435]) ).
cnf(s5653,plain,
( ~ spl2_29
| ~ spl2_104
| ~ spl2_150 ),
inference(sat_conversion,[],[f81439]) ).
cnf(s5654,plain,
( ~ spl2_198
| ~ spl2_208
| ~ spl2_249
| ~ spl2_275 ),
inference(sat_conversion,[],[f81441]) ).
cnf(s5655,plain,
( ~ spl2_20
| ~ spl2_150
| ~ spl2_646 ),
inference(sat_conversion,[],[f81442]) ).
cnf(s5664,plain,
( ~ spl2_150
| ~ spl2_180
| ~ spl2_532 ),
inference(sat_conversion,[],[f81457]) ).
cnf(s5669,plain,
( ~ spl2_169
| ~ spl2_188
| ~ spl2_254
| ~ spl2_315 ),
inference(sat_conversion,[],[f81465]) ).
cnf(s5679,plain,
( ~ spl2_169
| ~ spl2_180
| ~ spl2_188
| ~ spl2_341 ),
inference(sat_conversion,[],[f81478]) ).
cnf(s5686,plain,
( ~ spl2_8
| spl2_149 ),
inference(sat_conversion,[],[f81499]) ).
cnf(s5704,plain,
( ~ spl2_17
| spl2_194
| ~ spl2_203
| spl2_217 ),
inference(sat_conversion,[],[f81608]) ).
cnf(s5749,plain,
( ~ spl2_269
| ~ spl2_308
| ~ spl2_456 ),
inference(sat_conversion,[],[f82096]) ).
cnf(s5750,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_269
| ~ spl2_692 ),
inference(sat_conversion,[],[f82098]) ).
cnf(s5755,plain,
( ~ spl2_188
| ~ spl2_543
| ~ spl2_588 ),
inference(sat_conversion,[],[f82177]) ).
cnf(s5758,plain,
( ~ spl2_38
| spl2_139
| ~ spl2_170
| ~ spl2_211 ),
inference(sat_conversion,[],[f82180]) ).
cnf(s5759,plain,
( ~ spl2_211
| ~ spl2_307
| ~ spl2_391 ),
inference(sat_conversion,[],[f82181]) ).
cnf(s5760,plain,
( ~ spl2_100
| ~ spl2_139
| ~ spl2_172
| spl2_194
| ~ spl2_195 ),
inference(sat_conversion,[],[f82182]) ).
cnf(s5767,plain,
( ~ spl2_38
| ~ spl2_110
| spl2_203
| ~ spl2_307 ),
inference(sat_conversion,[],[f82192]) ).
cnf(s5805,plain,
( ~ spl2_139
| spl2_226
| spl2_269
| ~ spl2_590 ),
inference(sat_conversion,[],[f82512]) ).
cnf(s5819,plain,
( ~ spl2_139
| spl2_202
| ~ spl2_555 ),
inference(sat_conversion,[],[f82712]) ).
cnf(s5821,plain,
( ~ spl2_74
| ~ spl2_191
| spl2_206
| ~ spl2_247
| ~ spl2_586 ),
inference(sat_conversion,[],[f82717]) ).
cnf(s5848,plain,
( ~ spl2_204
| spl2_214
| ~ spl2_278
| ~ spl2_323 ),
inference(sat_conversion,[],[f83180]) ).
cnf(s5849,plain,
( ~ spl2_188
| spl2_268
| ~ spl2_269
| ~ spl2_323 ),
inference(sat_conversion,[],[f83181]) ).
cnf(s5851,plain,
( ~ spl2_191
| ~ spl2_317
| ~ spl2_586
| ~ spl2_589 ),
inference(sat_conversion,[],[f83208]) ).
cnf(s5861,plain,
( ~ spl2_139
| ~ spl2_191
| ~ spl2_589
| spl2_593 ),
inference(sat_conversion,[],[f83306]) ).
cnf(s5862,plain,
( ~ spl2_100
| ~ spl2_176
| ~ spl2_191
| spl2_194
| ~ spl2_586 ),
inference(sat_conversion,[],[f83307]) ).
cnf(s5864,plain,
( ~ spl2_17
| spl2_194
| ~ spl2_477
| ~ spl2_627 ),
inference(sat_conversion,[],[f83309]) ).
cnf(s5865,plain,
( ~ spl2_229
| ~ spl2_247
| ~ spl2_589 ),
inference(sat_conversion,[],[f83311]) ).
cnf(s5867,plain,
( ~ spl2_139
| ~ spl2_191
| ~ spl2_589
| spl2_703 ),
inference(sat_conversion,[],[f83313]) ).
cnf(s5874,plain,
( ~ spl2_169
| ~ spl2_301
| ~ spl2_363
| ~ spl2_371 ),
inference(sat_conversion,[],[f83367]) ).
cnf(s5883,plain,
( spl2_149
| ~ spl2_291
| spl2_759 ),
inference(sat_conversion,[],[f83387]) ).
cnf(s5885,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_19
| spl2_29 ),
inference(sat_conversion,[],[f83389]) ).
cnf(s5899,plain,
( ~ spl2_20
| ~ spl2_84
| ~ spl2_473 ),
inference(sat_conversion,[],[f83485]) ).
cnf(s5900,plain,
( ~ spl2_75
| ~ spl2_291
| spl2_549 ),
inference(sat_conversion,[],[f83486]) ).
cnf(s5901,plain,
( spl2_84
| spl2_85
| ~ spl2_291 ),
inference(sat_conversion,[],[f83487]) ).
cnf(s5910,plain,
( ~ spl2_7
| ~ spl2_118
| spl2_132 ),
inference(sat_conversion,[],[f83543]) ).
cnf(s5937,plain,
( ~ spl2_94
| ~ spl2_363
| spl2_750 ),
inference(sat_conversion,[],[f84056]) ).
cnf(s5938,plain,
( ~ spl2_202
| ~ spl2_301
| ~ spl2_750 ),
inference(sat_conversion,[],[f84068]) ).
cnf(s5939,plain,
( ~ spl2_169
| ~ spl2_180
| ~ spl2_750 ),
inference(sat_conversion,[],[f84070]) ).
cnf(s5952,plain,
( ~ spl2_44
| ~ spl2_204
| ~ spl2_278
| ~ spl2_308 ),
inference(sat_conversion,[],[f84087]) ).
cnf(s5969,plain,
( ~ spl2_40
| ~ spl2_278
| ~ spl2_308
| ~ spl2_375 ),
inference(sat_conversion,[],[f84105]) ).
cnf(s5995,plain,
( ~ spl2_15
| spl2_558 ),
inference(sat_conversion,[],[f84220]) ).
cnf(s6019,plain,
( ~ spl2_31
| spl2_98
| ~ spl2_473 ),
inference(sat_conversion,[],[f84360]) ).
cnf(s6026,plain,
( ~ spl2_128
| ~ spl2_177
| spl2_269 ),
inference(sat_conversion,[],[f84454]) ).
cnf(s6029,plain,
( ~ spl2_246
| ~ spl2_249
| ~ spl2_268
| ~ spl2_588 ),
inference(sat_conversion,[],[f84512]) ).
cnf(s6059,plain,
( ~ spl2_169
| ~ spl2_178
| ~ spl2_181
| ~ spl2_308
| spl2_445 ),
inference(sat_conversion,[],[f85070]) ).
cnf(s6061,plain,
( ~ spl2_140
| ~ spl2_181
| ~ spl2_308
| ~ spl2_355
| spl2_694 ),
inference(sat_conversion,[],[f85145]) ).
cnf(s6062,plain,
( ~ spl2_40
| spl2_90
| ~ spl2_249
| ~ spl2_334 ),
inference(sat_conversion,[],[f85170]) ).
cnf(s6063,plain,
( ~ spl2_20
| ~ spl2_202
| ~ spl2_250
| ~ spl2_308
| spl2_329 ),
inference(sat_conversion,[],[f85171]) ).
cnf(s6066,plain,
( ~ spl2_161
| ~ spl2_204
| ~ spl2_250 ),
inference(sat_conversion,[],[f85176]) ).
cnf(s6070,plain,
( spl2_98
| ~ spl2_301
| spl2_339 ),
inference(sat_conversion,[],[f85182]) ).
cnf(s6071,plain,
( spl2_17
| spl2_38
| ~ spl2_308 ),
inference(sat_conversion,[],[f85183]) ).
cnf(s6074,plain,
( ~ spl2_98
| ~ spl2_139
| spl2_207
| spl2_234 ),
inference(sat_conversion,[],[f85186]) ).
cnf(s6082,plain,
( ~ spl2_75
| spl2_208
| ~ spl2_221 ),
inference(sat_conversion,[],[f85196]) ).
cnf(s6083,plain,
( ~ spl2_98
| spl2_307
| ~ spl2_317
| ~ spl2_324 ),
inference(sat_conversion,[],[f85197]) ).
cnf(s6086,plain,
( ~ spl2_20
| ~ spl2_92
| ~ spl2_140
| ~ spl2_755 ),
inference(sat_conversion,[],[f85204]) ).
cnf(s6108,plain,
( ~ spl2_31
| ~ spl2_40
| ~ spl2_67 ),
inference(sat_conversion,[],[f85370]) ).
cnf(s6115,plain,
( ~ spl2_31
| ~ spl2_140
| ~ spl2_748 ),
inference(sat_conversion,[],[f85436]) ).
cnf(s6127,plain,
( ~ spl2_170
| spl2_215
| ~ spl2_252
| ~ spl2_278 ),
inference(sat_conversion,[],[f85613]) ).
cnf(s6130,plain,
( ~ spl2_173
| ~ spl2_211
| ~ spl2_748 ),
inference(sat_conversion,[],[f85634]) ).
cnf(s6137,plain,
( ~ spl2_33
| ~ spl2_92
| ~ spl2_132
| spl2_237 ),
inference(sat_conversion,[],[f85688]) ).
cnf(s6144,plain,
( ~ spl2_36
| ~ spl2_132
| ~ spl2_169
| ~ spl2_178
| ~ spl2_180
| ~ spl2_258 ),
inference(sat_conversion,[],[f85761]) ).
cnf(s6173,plain,
( spl2_167
| ~ spl2_759 ),
inference(sat_conversion,[],[f86082]) ).
cnf(s6181,plain,
( ~ spl2_110
| ~ spl2_169
| spl2_282 ),
inference(sat_conversion,[],[f86337]) ).
cnf(s6186,plain,
( ~ spl2_17
| spl2_140
| ~ spl2_226 ),
inference(sat_conversion,[],[f86372]) ).
cnf(s6190,plain,
( ~ spl2_17
| ~ spl2_139
| spl2_140
| spl2_197 ),
inference(sat_conversion,[],[f86376]) ).
cnf(s6195,plain,
( ~ spl2_173
| ~ spl2_355
| ~ spl2_455
| ~ spl2_588 ),
inference(sat_conversion,[],[f86383]) ).
cnf(s6196,plain,
( ~ spl2_132
| ~ spl2_169
| ~ spl2_178
| ~ spl2_270 ),
inference(sat_conversion,[],[f86384]) ).
cnf(s6220,plain,
( ~ spl2_172
| spl2_196
| ~ spl2_586
| ~ spl2_590 ),
inference(sat_conversion,[],[f86645]) ).
cnf(s6262,plain,
( ~ spl2_94
| ~ spl2_110
| spl2_265 ),
inference(sat_conversion,[],[f86980]) ).
cnf(s6288,plain,
( ~ spl2_31
| ~ spl2_40
| spl2_139
| ~ spl2_376 ),
inference(sat_conversion,[],[f87353]) ).
cnf(s6289,plain,
( ~ spl2_94
| spl2_98
| ~ spl2_180
| ~ spl2_181
| ~ spl2_206
| ~ spl2_211
| ~ spl2_588 ),
inference(sat_conversion,[],[f87354]) ).
cnf(s6321,plain,
( ~ spl2_246
| ~ spl2_442
| ~ spl2_597
| spl2_775 ),
inference(sat_conversion,[],[f87556]) ).
cnf(s6327,plain,
( ~ spl2_94
| spl2_98
| ~ spl2_180
| ~ spl2_181
| spl2_779 ),
inference(sat_conversion,[],[f87577]) ).
cnf(s6355,plain,
( ~ spl2_40
| spl2_238
| ~ spl2_269
| ~ spl2_597 ),
inference(sat_conversion,[],[f87722]) ).
cnf(s6362,plain,
( spl2_224
| ~ spl2_246
| ~ spl2_265
| ~ spl2_307 ),
inference(sat_conversion,[],[f87820]) ).
cnf(s6370,plain,
( ~ spl2_128
| ~ spl2_207
| spl2_278 ),
inference(sat_conversion,[],[f87927]) ).
cnf(s6371,plain,
( ~ spl2_94
| spl2_98
| ~ spl2_202
| ~ spl2_250
| spl2_780 ),
inference(sat_conversion,[],[f87931]) ).
cnf(s6387,plain,
( ~ spl2_234
| ~ spl2_237
| ~ spl2_278 ),
inference(sat_conversion,[],[f88022]) ).
cnf(s6403,plain,
( ~ spl2_140
| ~ spl2_173
| ~ spl2_278
| ~ spl2_766 ),
inference(sat_conversion,[],[f88322]) ).
cnf(s6404,plain,
( ~ spl2_139
| ~ spl2_324
| ~ spl2_590
| ~ spl2_625 ),
inference(sat_conversion,[],[f88374]) ).
cnf(s6408,plain,
( ~ spl2_173
| ~ spl2_234
| ~ spl2_278
| ~ spl2_777 ),
inference(sat_conversion,[],[f88394]) ).
cnf(s6411,plain,
( ~ spl2_40
| ~ spl2_110
| spl2_203
| ~ spl2_775 ),
inference(sat_conversion,[],[f88426]) ).
cnf(s6413,plain,
( ~ spl2_169
| ~ spl2_180
| ~ spl2_288
| spl2_692 ),
inference(sat_conversion,[],[f88598]) ).
cnf(s6421,plain,
( ~ spl2_17
| ~ spl2_139
| spl2_197
| spl2_204 ),
inference(sat_conversion,[],[f88776]) ).
cnf(s6429,plain,
( spl2_21
| spl2_77
| spl2_92 ),
inference(sat_conversion,[],[f88809]) ).
cnf(s6474,plain,
( spl2_246
| spl2_249
| ~ spl2_556 ),
inference(sat_conversion,[],[f89364]) ).
cnf(s6476,plain,
( spl2_132
| ~ spl2_168
| spl2_182
| ~ spl2_191 ),
inference(sat_conversion,[],[f89367]) ).
cnf(s6477,plain,
( ~ spl2_92
| ~ spl2_94
| ~ spl2_102
| spl2_353 ),
inference(sat_conversion,[],[f89368]) ).
cnf(s6482,plain,
( ~ spl2_132
| ~ spl2_269
| ~ spl2_278
| ~ spl2_358 ),
inference(sat_conversion,[],[f89380]) ).
cnf(s6483,plain,
( ~ spl2_29
| ~ spl2_92
| ~ spl2_238
| ~ spl2_308 ),
inference(sat_conversion,[],[f89381]) ).
cnf(s6484,plain,
( ~ spl2_110
| spl2_132
| spl2_265
| ~ spl2_556 ),
inference(sat_conversion,[],[f89382]) ).
cnf(s6487,plain,
( ~ spl2_40
| spl2_90
| ~ spl2_102
| ~ spl2_308 ),
inference(sat_conversion,[],[f89393]) ).
cnf(s6492,plain,
( ~ spl2_77
| ~ spl2_197
| spl2_234 ),
inference(sat_conversion,[],[f89400]) ).
cnf(s6517,plain,
( spl2_428
| ~ spl2_556
| spl2_732 ),
inference(sat_conversion,[],[f89555]) ).
cnf(s6538,plain,
( ~ spl2_188
| ~ spl2_355
| ~ spl2_383
| ~ spl2_442 ),
inference(sat_conversion,[],[f89986]) ).
cnf(s6539,plain,
( ~ spl2_140
| ~ spl2_258
| ~ spl2_371
| ~ spl2_402 ),
inference(sat_conversion,[],[f90017]) ).
cnf(s6541,plain,
( spl2_191
| ~ spl2_269
| spl2_289 ),
inference(sat_conversion,[],[f90022]) ).
cnf(s6542,plain,
( ~ spl2_173
| ~ spl2_194
| ~ spl2_246
| ~ spl2_375 ),
inference(sat_conversion,[],[f90023]) ).
cnf(s6545,plain,
( ~ spl2_26
| ~ spl2_197
| spl2_278 ),
inference(sat_conversion,[],[f90028]) ).
cnf(s6547,plain,
( ~ spl2_234
| ~ spl2_278
| ~ spl2_344
| spl2_755 ),
inference(sat_conversion,[],[f90030]) ).
cnf(s6549,plain,
( ~ spl2_84
| ~ spl2_92
| ~ spl2_234
| ~ spl2_285 ),
inference(sat_conversion,[],[f90033]) ).
cnf(s6550,plain,
( ~ spl2_77
| ~ spl2_98
| spl2_301
| ~ spl2_643 ),
inference(sat_conversion,[],[f90034]) ).
cnf(s6565,plain,
( ~ spl2_17
| spl2_78
| spl2_92
| ~ spl2_98 ),
inference(sat_conversion,[],[f90093]) ).
cnf(s6580,plain,
( ~ spl2_17
| spl2_194
| ~ spl2_203
| spl2_217 ),
inference(sat_conversion,[],[f90201]) ).
cnf(s6587,plain,
( ~ spl2_255
| ~ spl2_269
| ~ spl2_344
| spl2_753 ),
inference(sat_conversion,[],[f90283]) ).
cnf(s6599,plain,
( ~ spl2_140
| ~ spl2_173
| ~ spl2_194
| ~ spl2_455 ),
inference(sat_conversion,[],[f90639]) ).
cnf(s6600,plain,
( ~ spl2_29
| ~ spl2_140
| ~ spl2_244
| ~ spl2_455 ),
inference(sat_conversion,[],[f90641]) ).
cnf(s6601,plain,
( ~ spl2_92
| ~ spl2_140
| ~ spl2_234
| ~ spl2_455 ),
inference(sat_conversion,[],[f90643]) ).
cnf(s6613,plain,
( ~ spl2_172
| ~ spl2_203
| spl2_278
| spl2_703 ),
inference(sat_conversion,[],[f90746]) ).
cnf(s6615,plain,
( ~ spl2_172
| ~ spl2_203
| ~ spl2_220
| spl2_250
| spl2_278 ),
inference(sat_conversion,[],[f90751]) ).
cnf(s6618,plain,
( ~ spl2_38
| ~ spl2_181
| spl2_203
| ~ spl2_442 ),
inference(sat_conversion,[],[f90753]) ).
cnf(s6627,plain,
( ~ spl2_38
| spl2_191
| ~ spl2_211
| ~ spl2_588 ),
inference(sat_conversion,[],[f90767]) ).
cnf(s6645,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_278
| ~ spl2_412 ),
inference(sat_conversion,[],[f90839]) ).
cnf(s6674,plain,
( ~ spl2_38
| ~ spl2_44
| spl2_161
| spl2_454 ),
inference(sat_conversion,[],[f91222]) ).
cnf(s6675,plain,
( ~ spl2_177
| ~ spl2_209
| ~ spl2_590 ),
inference(sat_conversion,[],[f91241]) ).
cnf(s6677,plain,
( ~ spl2_17
| spl2_179
| spl2_188
| ~ spl2_191 ),
inference(sat_conversion,[],[f91245]) ).
cnf(s6680,plain,
( ~ spl2_84
| ~ spl2_178
| ~ spl2_234
| ~ spl2_761 ),
inference(sat_conversion,[],[f91251]) ).
cnf(s6681,plain,
( ~ spl2_176
| ~ spl2_191
| ~ spl2_590
| ~ spl2_643 ),
inference(sat_conversion,[],[f91252]) ).
cnf(s6690,plain,
( spl2_126
| ~ spl2_132
| ~ spl2_149
| ~ spl2_288 ),
inference(sat_conversion,[],[f91281]) ).
cnf(s6691,plain,
( ~ spl2_84
| ~ spl2_149
| ~ spl2_344
| spl2_345 ),
inference(sat_conversion,[],[f91298]) ).
cnf(s6715,plain,
( ~ spl2_244
| ~ spl2_264
| ~ spl2_355 ),
inference(sat_conversion,[],[f91494]) ).
cnf(s6717,plain,
( ~ spl2_234
| ~ spl2_238
| ~ spl2_244
| ~ spl2_278 ),
inference(sat_conversion,[],[f91550]) ).
cnf(s6718,plain,
( ~ spl2_37
| ~ spl2_84
| ~ spl2_132
| spl2_237 ),
inference(sat_conversion,[],[f91565]) ).
cnf(s6721,plain,
( ~ spl2_37
| ~ spl2_180
| ~ spl2_269
| spl2_520 ),
inference(sat_conversion,[],[f91570]) ).
cnf(s6722,plain,
( ~ spl2_25
| ~ spl2_197
| spl2_244 ),
inference(sat_conversion,[],[f91571]) ).
cnf(s6743,plain,
( ~ spl2_132
| ~ spl2_301
| spl2_312
| ~ spl2_521 ),
inference(sat_conversion,[],[f91718]) ).
cnf(s6744,plain,
( ~ spl2_202
| ~ spl2_288
| ~ spl2_301
| spl2_412 ),
inference(sat_conversion,[],[f91719]) ).
cnf(s6754,plain,
( ~ spl2_180
| ~ spl2_255
| ~ spl2_355
| ~ spl2_755 ),
inference(sat_conversion,[],[f91925]) ).
cnf(s6755,plain,
( ~ spl2_202
| ~ spl2_234
| ~ spl2_371
| ~ spl2_753 ),
inference(sat_conversion,[],[f91956]) ).
cnf(s6756,plain,
( ~ spl2_98
| ~ spl2_168
| spl2_177
| ~ spl2_191 ),
inference(sat_conversion,[],[f91976]) ).
cnf(s6765,plain,
( ~ spl2_180
| ~ spl2_181
| ~ spl2_371
| ~ spl2_780 ),
inference(sat_conversion,[],[f91989]) ).
cnf(s6794,plain,
( ~ spl2_202
| ~ spl2_204
| ~ spl2_234
| ~ spl2_781 ),
inference(sat_conversion,[],[f92333]) ).
cnf(s6797,plain,
( ~ spl2_173
| ~ spl2_208
| ~ spl2_234
| ~ spl2_455 ),
inference(sat_conversion,[],[f92447]) ).
cnf(s6801,plain,
( ~ spl2_17
| ~ spl2_77
| spl2_258
| ~ spl2_625 ),
inference(sat_conversion,[],[f92451]) ).
cnf(s6803,plain,
( ~ spl2_17
| spl2_78
| ~ spl2_98
| spl2_178 ),
inference(sat_conversion,[],[f92454]) ).
cnf(s6807,plain,
( ~ spl2_32
| spl2_55 ),
inference(sat_conversion,[],[f92471]) ).
cnf(s6879,plain,
( ~ spl2_55
| ~ spl2_172
| spl2_703 ),
inference(sat_conversion,[],[f93197]) ).
cnf(s6897,plain,
( ~ spl2_183
| spl2_249
| ~ spl2_601 ),
inference(sat_conversion,[],[f93452]) ).
cnf(s6898,plain,
( spl2_208
| ~ spl2_476
| ~ spl2_601 ),
inference(sat_conversion,[],[f93453]) ).
cnf(s6916,plain,
( ~ spl2_119
| spl2_120
| ~ spl2_470 ),
inference(sat_conversion,[],[f93911]) ).
cnf(s6918,plain,
( ~ spl2_55
| ~ spl2_172
| spl2_301
| ~ spl2_305 ),
inference(sat_conversion,[],[f93935]) ).
cnf(s6919,plain,
( ~ spl2_132
| ~ spl2_302
| ~ spl2_308
| spl2_349 ),
inference(sat_conversion,[],[f94078]) ).
cnf(s6923,plain,
( ~ spl2_94
| ~ spl2_255
| ~ spl2_362
| spl2_754 ),
inference(sat_conversion,[],[f94217]) ).
cnf(s6929,plain,
( ~ spl2_31
| ~ spl2_269
| ~ spl2_308
| ~ spl2_701 ),
inference(sat_conversion,[],[f94260]) ).
cnf(s6930,plain,
( ~ spl2_269
| ~ spl2_278
| ~ spl2_308
| ~ spl2_742 ),
inference(sat_conversion,[],[f94262]) ).
cnf(s6937,plain,
( ~ spl2_55
| ~ spl2_128
| spl2_787 ),
inference(sat_conversion,[],[f94283]) ).
cnf(s6940,plain,
( ~ spl2_117
| ~ spl2_177
| spl2_258 ),
inference(sat_conversion,[],[f94290]) ).
cnf(s6966,plain,
( ~ spl2_94
| ~ spl2_301
| spl2_312
| ~ spl2_405 ),
inference(sat_conversion,[],[f94460]) ).
cnf(s6978,plain,
( ~ spl2_55
| ~ spl2_589
| spl2_703 ),
inference(sat_conversion,[],[f94625]) ).
cnf(s6993,plain,
( ~ spl2_94
| ~ spl2_244
| ~ spl2_471 ),
inference(sat_conversion,[],[f94807]) ).
cnf(s6994,plain,
( ~ spl2_204
| ~ spl2_301
| ~ spl2_302
| spl2_312 ),
inference(sat_conversion,[],[f94808]) ).
cnf(s7024,plain,
( ~ spl2_32
| ~ spl2_250 ),
inference(sat_conversion,[],[f95103]) ).
cnf(s7030,plain,
( ~ spl2_55
| ~ spl2_171
| ~ spl2_209
| spl2_307 ),
inference(sat_conversion,[],[f95110]) ).
cnf(s7033,plain,
( ~ spl2_171
| spl2_208
| ~ spl2_209
| ~ spl2_470 ),
inference(sat_conversion,[],[f95118]) ).
cnf(s7037,plain,
( ~ spl2_55
| ~ spl2_171
| spl2_301
| ~ spl2_305
| ~ spl2_671 ),
inference(sat_conversion,[],[f95124]) ).
cnf(s7065,plain,
( ~ spl2_278
| ~ spl2_355
| ~ spl2_758
| spl2_790 ),
inference(sat_conversion,[],[f95403]) ).
cnf(s7066,plain,
( ~ spl2_37
| ~ spl2_202
| spl2_215
| ~ spl2_278 ),
inference(sat_conversion,[],[f95404]) ).
cnf(s7075,plain,
( ~ spl2_55
| ~ spl2_586
| spl2_601 ),
inference(sat_conversion,[],[f95572]) ).
cnf(s7088,plain,
( ~ spl2_94
| ~ spl2_246
| ~ spl2_307
| ~ spl2_363 ),
inference(sat_conversion,[],[f95720]) ).
cnf(s7089,plain,
( ~ spl2_169
| ~ spl2_307
| ~ spl2_363
| ~ spl2_588 ),
inference(sat_conversion,[],[f95722]) ).
cnf(s7090,plain,
( ~ spl2_269
| ~ spl2_339
| ~ spl2_371
| spl2_785 ),
inference(sat_conversion,[],[f95723]) ).
cnf(s7093,plain,
( ~ spl2_194
| ~ spl2_249
| ~ spl2_307
| ~ spl2_349 ),
inference(sat_conversion,[],[f95730]) ).
cnf(s7096,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_750 ),
inference(sat_conversion,[],[f95754]) ).
cnf(s7103,plain,
( ~ spl2_31
| ~ spl2_194
| spl2_516 ),
inference(sat_conversion,[],[f95826]) ).
cnf(s7106,plain,
( ~ spl2_170
| ~ spl2_246
| ~ spl2_364 ),
inference(sat_conversion,[],[f95891]) ).
cnf(s7119,plain,
( ~ spl2_55
| ~ spl2_172
| spl2_301
| ~ spl2_712 ),
inference(sat_conversion,[],[f96240]) ).
cnf(s7129,plain,
( ~ spl2_149
| ~ spl2_278
| ~ spl2_321
| spl2_329 ),
inference(sat_conversion,[],[f96492]) ).
cnf(s7136,plain,
( ~ spl2_198
| ~ spl2_255
| ~ spl2_258
| ~ spl2_442
| ~ spl2_594 ),
inference(sat_conversion,[],[f96617]) ).
cnf(s7139,plain,
( ~ spl2_198
| ~ spl2_255
| ~ spl2_258
| ~ spl2_442
| ~ spl2_594 ),
inference(sat_conversion,[],[f96622]) ).
cnf(s7143,plain,
( ~ spl2_128
| spl2_249
| ~ spl2_304 ),
inference(sat_conversion,[],[f96633]) ).
cnf(s7144,plain,
( ~ spl2_173
| ~ spl2_194
| ~ spl2_372
| ~ spl2_588 ),
inference(sat_conversion,[],[f96634]) ).
cnf(s7156,plain,
( ~ spl2_31
| ~ spl2_269
| spl2_275
| ~ spl2_594 ),
inference(sat_conversion,[],[f96710]) ).
cnf(s7157,plain,
( ~ spl2_94
| spl2_98
| spl2_794 ),
inference(sat_conversion,[],[f96714]) ).
cnf(s7171,plain,
( spl2_203
| ~ spl2_246
| spl2_794 ),
inference(sat_conversion,[],[f96732]) ).
cnf(s7178,plain,
( spl2_98
| spl2_115
| ~ spl2_178 ),
inference(sat_conversion,[],[f96739]) ).
cnf(s7179,plain,
( ~ spl2_169
| ~ spl2_188
| ~ spl2_269
| ~ spl2_349 ),
inference(sat_conversion,[],[f96740]) ).
cnf(s7200,plain,
( ~ spl2_33
| ~ spl2_204
| spl2_215
| ~ spl2_278 ),
inference(sat_conversion,[],[f96860]) ).
cnf(s7254,plain,
( ~ spl2_265
| ~ spl2_428
| ~ spl2_444
| spl2_767 ),
inference(sat_conversion,[],[f97601]) ).
cnf(s7255,plain,
( ~ spl2_115
| ~ spl2_198
| ~ spl2_307
| spl2_766 ),
inference(sat_conversion,[],[f97727]) ).
cnf(s7256,plain,
( ~ spl2_40
| ~ spl2_94
| ~ spl2_211
| ~ spl2_246
| ~ spl2_278
| ~ spl2_301
| ~ spl2_307 ),
inference(sat_conversion,[],[f97816]) ).
cnf(s7262,plain,
( ~ spl2_244
| ~ spl2_278
| ~ spl2_448
| ~ spl2_767 ),
inference(sat_conversion,[],[f97826]) ).
cnf(s7271,plain,
( ~ spl2_198
| ~ spl2_258
| ~ spl2_402
| ~ spl2_442 ),
inference(sat_conversion,[],[f97976]) ).
cnf(s7272,plain,
( ~ spl2_31
| ~ spl2_198
| ~ spl2_211
| ~ spl2_402
| ~ spl2_442 ),
inference(sat_conversion,[],[f97979]) ).
cnf(s7273,plain,
( ~ spl2_31
| ~ spl2_198
| spl2_203
| ~ spl2_402
| ~ spl2_442 ),
inference(sat_conversion,[],[f97981]) ).
cnf(s7276,plain,
( ~ spl2_84
| ~ spl2_169
| ~ spl2_532 ),
inference(sat_conversion,[],[f97988]) ).
cnf(s7277,plain,
( ~ spl2_47
| ~ spl2_84
| ~ spl2_202
| ~ spl2_301 ),
inference(sat_conversion,[],[f97989]) ).
cnf(s7279,plain,
( ~ spl2_173
| ~ spl2_206
| ~ spl2_211
| ~ spl2_329 ),
inference(sat_conversion,[],[f97992]) ).
cnf(s7281,plain,
( ~ spl2_84
| ~ spl2_110
| ~ spl2_169
| ~ spl2_779 ),
inference(sat_conversion,[],[f97994]) ).
cnf(s7284,plain,
( ~ spl2_90
| ~ spl2_244
| ~ spl2_278 ),
inference(sat_conversion,[],[f98014]) ).
cnf(s7290,plain,
( ~ spl2_31
| ~ spl2_169
| ~ spl2_178
| ~ spl2_181
| ~ spl2_258
| ~ spl2_278
| ~ spl2_301 ),
inference(sat_conversion,[],[f98131]) ).
cnf(s7298,plain,
( ~ spl2_44
| ~ spl2_204
| ~ spl2_425
| ~ spl2_448 ),
inference(sat_conversion,[],[f98191]) ).
cnf(s7340,plain,
( ~ spl2_44
| ~ spl2_68
| ~ spl2_140
| ~ spl2_204 ),
inference(sat_conversion,[],[f98490]) ).
cnf(s7341,plain,
( spl2_90
| ~ spl2_94
| ~ spl2_150
| ~ spl2_265 ),
inference(sat_conversion,[],[f98492]) ).
cnf(s7344,plain,
( ~ spl2_47
| ~ spl2_150
| ~ spl2_202 ),
inference(sat_conversion,[],[f98498]) ).
cnf(s7347,plain,
( ~ spl2_40
| ~ spl2_94
| ~ spl2_150
| ~ spl2_278
| ~ spl2_301 ),
inference(sat_conversion,[],[f98503]) ).
cnf(s7348,plain,
( ~ spl2_94
| ~ spl2_232
| ~ spl2_301
| ~ spl2_754 ),
inference(sat_conversion,[],[f98504]) ).
cnf(s7351,plain,
( ~ spl2_198
| ~ spl2_442
| ~ spl2_594
| spl2_795 ),
inference(sat_conversion,[],[f98511]) ).
cnf(s7363,plain,
( spl2_83
| spl2_84
| spl2_132
| ~ spl2_167 ),
inference(sat_conversion,[],[f98603]) ).
cnf(s7394,plain,
( ~ spl2_31
| ~ spl2_110
| spl2_203
| ~ spl2_795 ),
inference(sat_conversion,[],[f99092]) ).
cnf(s7395,plain,
( ~ spl2_196
| spl2_198
| ~ spl2_333 ),
inference(sat_conversion,[],[f99093]) ).
cnf(s7396,plain,
( spl2_198
| ~ spl2_477
| ~ spl2_601 ),
inference(sat_conversion,[],[f99094]) ).
cnf(s7397,plain,
( ~ spl2_140
| ~ spl2_371
| ~ spl2_594
| spl2_797 ),
inference(sat_conversion,[],[f99098]) ).
cnf(s7408,plain,
( ~ spl2_208
| ~ spl2_238
| ~ spl2_246
| ~ spl2_249 ),
inference(sat_conversion,[],[f99220]) ).
cnf(s7410,plain,
( ~ spl2_31
| ~ spl2_40
| spl2_191
| ~ spl2_390 ),
inference(sat_conversion,[],[f99223]) ).
cnf(s7459,plain,
( ~ spl2_40
| ~ spl2_110
| ~ spl2_250
| ~ spl2_754 ),
inference(sat_conversion,[],[f99805]) ).
cnf(s7464,plain,
( ~ spl2_47
| ~ spl2_173
| ~ spl2_202
| ~ spl2_206 ),
inference(sat_conversion,[],[f99943]) ).
cnf(s7470,plain,
( spl2_38
| ~ spl2_211
| ~ spl2_249 ),
inference(sat_conversion,[],[f100199]) ).
cnf(s7471,plain,
( spl2_38
| spl2_203
| ~ spl2_249 ),
inference(sat_conversion,[],[f100200]) ).
cnf(s7478,plain,
( ~ spl2_324
| spl2_427
| ~ spl2_800 ),
inference(sat_conversion,[],[f100271]) ).
cnf(s7512,plain,
( ~ spl2_140
| ~ spl2_202
| ~ spl2_258
| ~ spl2_355
| spl2_390 ),
inference(sat_conversion,[],[f100727]) ).
cnf(s7519,plain,
( ~ spl2_36
| ~ spl2_140
| ~ spl2_278
| spl2_761 ),
inference(sat_conversion,[],[f100818]) ).
cnf(s7527,plain,
( ~ spl2_202
| ~ spl2_278
| spl2_806 ),
inference(sat_conversion,[],[f100862]) ).
cnf(s7528,plain,
( spl2_30
| ~ spl2_31
| ~ spl2_278
| ~ spl2_287 ),
inference(sat_conversion,[],[f100863]) ).
cnf(s7529,plain,
( ~ spl2_31
| spl2_65
| ~ spl2_140
| ~ spl2_202
| ~ spl2_278 ),
inference(sat_conversion,[],[f100864]) ).
cnf(s7530,plain,
( ~ spl2_40
| spl2_90
| ~ spl2_202
| ~ spl2_244
| ~ spl2_278 ),
inference(sat_conversion,[],[f100865]) ).
cnf(s7532,plain,
( ~ spl2_178
| ~ spl2_255
| spl2_473
| ~ spl2_594 ),
inference(sat_conversion,[],[f100868]) ).
cnf(s7536,plain,
( ~ spl2_232
| spl2_237
| ~ spl2_255
| ~ spl2_256 ),
inference(sat_conversion,[],[f100874]) ).
cnf(s7538,plain,
( ~ spl2_168
| spl2_301
| ~ spl2_589
| spl2_593 ),
inference(sat_conversion,[],[f100876]) ).
cnf(s7543,plain,
( ~ spl2_139
| spl2_169
| ~ spl2_209
| ~ spl2_589
| ~ spl2_671 ),
inference(sat_conversion,[],[f100886]) ).
cnf(s7545,plain,
( ~ spl2_132
| ~ spl2_208
| spl2_237
| ~ spl2_252 ),
inference(sat_conversion,[],[f100888]) ).
cnf(s7546,plain,
( spl2_189
| spl2_254
| ~ spl2_335
| ~ spl2_589 ),
inference(sat_conversion,[],[f100889]) ).
cnf(s7548,plain,
( ~ spl2_178
| ~ spl2_204
| ~ spl2_258
| ~ spl2_785 ),
inference(sat_conversion,[],[f100894]) ).
cnf(s7549,plain,
( ~ spl2_168
| spl2_177
| spl2_234
| ~ spl2_589 ),
inference(sat_conversion,[],[f100895]) ).
cnf(s7567,plain,
( spl2_21
| spl2_209
| spl2_301 ),
inference(sat_conversion,[],[f101018]) ).
cnf(s7572,plain,
( ~ spl2_132
| ~ spl2_178
| ~ spl2_301
| ~ spl2_378 ),
inference(sat_conversion,[],[f101046]) ).
cnf(s7575,plain,
( spl2_226
| ~ spl2_231
| spl2_269
| ~ spl2_590 ),
inference(sat_conversion,[],[f101055]) ).
cnf(s7578,plain,
( ~ spl2_98
| spl2_208
| ~ spl2_209
| ~ spl2_210 ),
inference(sat_conversion,[],[f101058]) ).
cnf(s7579,plain,
( ~ spl2_84
| spl2_238
| ~ spl2_254
| ~ spl2_256 ),
inference(sat_conversion,[],[f101059]) ).
cnf(s7587,plain,
( ~ spl2_94
| ~ spl2_132
| ~ spl2_214
| ~ spl2_301 ),
inference(sat_conversion,[],[f101077]) ).
cnf(s7589,plain,
( ~ spl2_98
| ~ spl2_117
| spl2_234
| ~ spl2_678 ),
inference(sat_conversion,[],[f101079]) ).
cnf(s7596,plain,
( spl2_84
| ~ spl2_98
| spl2_130
| ~ spl2_156 ),
inference(sat_conversion,[],[f101153]) ).
cnf(s7597,plain,
( spl2_84
| ~ spl2_98
| ~ spl2_555 ),
inference(sat_conversion,[],[f101154]) ).
cnf(s7605,plain,
( ~ spl2_84
| ~ spl2_132
| ~ spl2_144 ),
inference(sat_conversion,[],[f101200]) ).
cnf(s7606,plain,
( ~ spl2_94
| spl2_98
| spl2_265 ),
inference(sat_conversion,[],[f101201]) ).
cnf(s7619,plain,
( ~ spl2_110
| spl2_237
| ~ spl2_249
| ~ spl2_274 ),
inference(sat_conversion,[],[f101288]) ).
cnf(s7629,plain,
( ~ spl2_94
| ~ spl2_234
| spl2_353
| ~ spl2_606 ),
inference(sat_conversion,[],[f101352]) ).
cnf(s7661,plain,
( ~ spl2_132
| ~ spl2_225
| ~ spl2_307 ),
inference(sat_conversion,[],[f101569]) ).
cnf(s7683,plain,
( ~ spl2_113
| spl2_225
| ~ spl2_249
| ~ spl2_307 ),
inference(sat_conversion,[],[f101967]) ).
cnf(s7687,plain,
( ~ spl2_178
| ~ spl2_234
| spl2_275
| ~ spl2_287 ),
inference(sat_conversion,[],[f101975]) ).
cnf(s7700,plain,
( ~ spl2_132
| ~ spl2_444
| ~ spl2_513 ),
inference(sat_conversion,[],[f102049]) ).
cnf(s7702,plain,
( ~ spl2_113
| ~ spl2_444
| spl2_513
| ~ spl2_732 ),
inference(sat_conversion,[],[f102052]) ).
cnf(s7710,plain,
( ~ spl2_139
| ~ spl2_172
| ~ spl2_203
| spl2_703 ),
inference(sat_conversion,[],[f102098]) ).
cnf(s7711,plain,
( ~ spl2_140
| ~ spl2_234
| ~ spl2_275
| ~ spl2_278 ),
inference(sat_conversion,[],[f102100]) ).
cnf(s7720,plain,
( spl2_139
| ~ spl2_234
| spl2_236 ),
inference(sat_conversion,[],[f102109]) ).
cnf(s7748,plain,
( ~ spl2_94
| ~ spl2_132
| ~ spl2_444
| ~ spl2_767 ),
inference(sat_conversion,[],[f102366]) ).
cnf(s7752,plain,
( ~ spl2_139
| ~ spl2_171
| spl2_226
| spl2_249 ),
inference(sat_conversion,[],[f102372]) ).
cnf(s7762,plain,
( ~ spl2_172
| spl2_250
| spl2_317 ),
inference(sat_conversion,[],[f102496]) ).
cnf(s7764,plain,
( ~ spl2_172
| spl2_211
| spl2_245
| spl2_250 ),
inference(sat_conversion,[],[f102503]) ).
cnf(s7768,plain,
( ~ spl2_132
| ~ spl2_234
| spl2_238
| ~ spl2_806 ),
inference(sat_conversion,[],[f102768]) ).
cnf(s7801,plain,
( ~ spl2_173
| ~ spl2_206
| ~ spl2_208
| ~ spl2_755 ),
inference(sat_conversion,[],[f103093]) ).
cnf(s7814,plain,
( spl2_207
| ~ spl2_209
| spl2_255
| ~ spl2_590 ),
inference(sat_conversion,[],[f103294]) ).
cnf(s7815,plain,
( ~ spl2_141
| spl2_229
| spl2_254
| ~ spl2_590 ),
inference(sat_conversion,[],[f103295]) ).
cnf(s7824,plain,
( spl2_214
| ~ spl2_244
| ~ spl2_265
| ~ spl2_301 ),
inference(sat_conversion,[],[f103369]) ).
cnf(s7835,plain,
( ~ spl2_94
| spl2_238
| ~ spl2_255
| ~ spl2_342 ),
inference(sat_conversion,[],[f103632]) ).
cnf(s7838,plain,
( spl2_189
| spl2_246
| ~ spl2_464
| ~ spl2_587 ),
inference(sat_conversion,[],[f103858]) ).
cnf(s7839,plain,
( ~ spl2_255
| ~ spl2_274
| ~ spl2_588
| spl2_811 ),
inference(sat_conversion,[],[f103884]) ).
cnf(s7841,plain,
( ~ spl2_180
| ~ spl2_188
| ~ spl2_322
| ~ spl2_588 ),
inference(sat_conversion,[],[f103886]) ).
cnf(s7844,plain,
( ~ spl2_40
| ~ spl2_110
| spl2_191
| ~ spl2_255
| ~ spl2_535
| ~ spl2_588 ),
inference(sat_conversion,[],[f103982]) ).
cnf(s7847,plain,
( ~ spl2_213
| ~ spl2_371
| ~ spl2_588
| spl2_814 ),
inference(sat_conversion,[],[f104069]) ).
cnf(s7851,plain,
( ~ spl2_180
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442
| spl2_775 ),
inference(sat_conversion,[],[f104175]) ).
cnf(s7852,plain,
( ~ spl2_180
| ~ spl2_255
| ~ spl2_417
| ~ spl2_427
| spl2_805 ),
inference(sat_conversion,[],[f104176]) ).
cnf(s7855,plain,
( spl2_207
| spl2_255
| ~ spl2_324
| ~ spl2_590 ),
inference(sat_conversion,[],[f104181]) ).
cnf(s7858,plain,
( ~ spl2_173
| ~ spl2_246
| ~ spl2_606
| spl2_775 ),
inference(sat_conversion,[],[f104189]) ).
cnf(s7859,plain,
( ~ spl2_132
| ~ spl2_301
| ~ spl2_339
| spl2_816 ),
inference(sat_conversion,[],[f104193]) ).
cnf(s7865,plain,
( spl2_229
| spl2_254
| ~ spl2_335
| ~ spl2_590 ),
inference(sat_conversion,[],[f104202]) ).
cnf(s7900,plain,
( ~ spl2_47
| ~ spl2_149
| ~ spl2_206
| ~ spl2_211 ),
inference(sat_conversion,[],[f104595]) ).
cnf(s7901,plain,
( spl2_188
| ~ spl2_195
| ~ spl2_590
| spl2_593 ),
inference(sat_conversion,[],[f104597]) ).
cnf(s7902,plain,
( ~ spl2_139
| ~ spl2_191
| ~ spl2_590
| spl2_629 ),
inference(sat_conversion,[],[f104605]) ).
cnf(s7903,plain,
( ~ spl2_141
| spl2_180
| ~ spl2_590
| spl2_593 ),
inference(sat_conversion,[],[f104607]) ).
cnf(s7905,plain,
( ~ spl2_171
| ~ spl2_195
| spl2_197
| spl2_198 ),
inference(sat_conversion,[],[f104612]) ).
cnf(s7908,plain,
( ~ spl2_202
| ~ spl2_213
| spl2_214
| ~ spl2_246 ),
inference(sat_conversion,[],[f104618]) ).
cnf(s7909,plain,
( spl2_181
| ~ spl2_590
| spl2_613 ),
inference(sat_conversion,[],[f104620]) ).
cnf(s7910,plain,
( ~ spl2_202
| spl2_214
| ~ spl2_254
| ~ spl2_740 ),
inference(sat_conversion,[],[f104622]) ).
cnf(s7911,plain,
( ~ spl2_204
| ~ spl2_258
| spl2_378
| ~ spl2_740 ),
inference(sat_conversion,[],[f104623]) ).
cnf(s7917,plain,
( ~ spl2_47
| ~ spl2_149
| spl2_203
| ~ spl2_206 ),
inference(sat_conversion,[],[f104632]) ).
cnf(s7919,plain,
( ~ spl2_202
| ~ spl2_301
| ~ spl2_355
| ~ spl2_793 ),
inference(sat_conversion,[],[f104634]) ).
cnf(s7928,plain,
( spl2_181
| spl2_250
| spl2_257
| ~ spl2_590 ),
inference(sat_conversion,[],[f104647]) ).
cnf(s7932,plain,
( ~ spl2_6
| ~ spl2_149
| spl2_181
| spl2_186
| ~ spl2_282
| spl2_793 ),
inference(sat_conversion,[],[f104653]) ).
cnf(s7938,plain,
( ~ spl2_139
| spl2_204
| ~ spl2_558 ),
inference(sat_conversion,[],[f104698]) ).
cnf(s7953,plain,
( ~ spl2_178
| ~ spl2_204
| ~ spl2_816 ),
inference(sat_conversion,[],[f104815]) ).
cnf(s7955,plain,
( ~ spl2_171
| spl2_210
| spl2_211 ),
inference(sat_conversion,[],[f104817]) ).
cnf(s7956,plain,
( ~ spl2_139
| spl2_269
| ~ spl2_590
| spl2_629 ),
inference(sat_conversion,[],[f104818]) ).
cnf(s7960,plain,
( spl2_94
| ~ spl2_168
| spl2_189
| ~ spl2_247 ),
inference(sat_conversion,[],[f104826]) ).
cnf(s7965,plain,
( ~ spl2_139
| spl2_181
| ~ spl2_231
| spl2_269
| ~ spl2_590 ),
inference(sat_conversion,[],[f104833]) ).
cnf(s7968,plain,
( ~ spl2_171
| spl2_196
| ~ spl2_209
| spl2_307 ),
inference(sat_conversion,[],[f104837]) ).
cnf(s7971,plain,
( ~ spl2_254
| spl2_268
| ~ spl2_337
| ~ spl2_355 ),
inference(sat_conversion,[],[f104845]) ).
cnf(s7986,plain,
( spl2_188
| ~ spl2_191
| ~ spl2_558 ),
inference(sat_conversion,[],[f104923]) ).
cnf(s7998,plain,
( ~ spl2_156
| ~ spl2_203
| spl2_206
| spl2_216 ),
inference(sat_conversion,[],[f104988]) ).
cnf(s8016,plain,
( ~ spl2_94
| ~ spl2_234
| spl2_238
| ~ spl2_337 ),
inference(sat_conversion,[],[f105094]) ).
cnf(s8037,plain,
( ~ spl2_173
| spl2_224
| ~ spl2_246
| ~ spl2_337 ),
inference(sat_conversion,[],[f105256]) ).
cnf(s8039,plain,
( ~ spl2_173
| ~ spl2_198
| ~ spl2_287
| spl2_766 ),
inference(sat_conversion,[],[f105257]) ).
cnf(s8081,plain,
( ~ spl2_171
| ~ spl2_590
| ~ spl2_601 ),
inference(sat_conversion,[],[f105786]) ).
cnf(s8084,plain,
( ~ spl2_203
| spl2_216
| spl2_269
| ~ spl2_586 ),
inference(sat_conversion,[],[f105788]) ).
cnf(s8105,plain,
( spl2_188
| ~ spl2_205
| ~ spl2_586
| spl2_601 ),
inference(sat_conversion,[],[f105817]) ).
cnf(s8118,plain,
( ~ spl2_40
| spl2_139
| ~ spl2_405
| spl2_818 ),
inference(sat_conversion,[],[f105839]) ).
cnf(s8167,plain,
( ~ spl2_206
| ~ spl2_532
| ~ spl2_588 ),
inference(sat_conversion,[],[f106323]) ).
cnf(s8173,plain,
( ~ spl2_168
| ~ spl2_304
| ~ spl2_587 ),
inference(sat_conversion,[],[f106489]) ).
cnf(s8180,plain,
( ~ spl2_170
| ~ spl2_194
| ~ spl2_211
| ~ spl2_818 ),
inference(sat_conversion,[],[f106554]) ).
cnf(s8182,plain,
( ~ spl2_132
| ~ spl2_178
| ~ spl2_307
| ~ spl2_766 ),
inference(sat_conversion,[],[f106589]) ).
cnf(s8192,plain,
( ~ spl2_258
| spl2_270
| ~ spl2_287
| ~ spl2_355 ),
inference(sat_conversion,[],[f106609]) ).
cnf(s8194,plain,
( spl2_20
| spl2_31
| ~ spl2_650 ),
inference(sat_conversion,[],[f106616]) ).
cnf(s8196,plain,
( spl2_30
| ~ spl2_113
| ~ spl2_178
| ~ spl2_308 ),
inference(sat_conversion,[],[f106623]) ).
cnf(s8197,plain,
( spl2_31
| ~ spl2_47
| ~ spl2_198
| ~ spl2_206
| ~ spl2_650 ),
inference(sat_conversion,[],[f106625]) ).
cnf(s8198,plain,
( ~ spl2_172
| ~ spl2_203
| spl2_278
| spl2_703 ),
inference(sat_conversion,[],[f106626]) ).
cnf(s8200,plain,
( ~ spl2_172
| ~ spl2_203
| spl2_216
| spl2_278 ),
inference(sat_conversion,[],[f106628]) ).
cnf(s8212,plain,
( ~ spl2_17
| spl2_20
| ~ spl2_555 ),
inference(sat_conversion,[],[f106677]) ).
cnf(s8217,plain,
( spl2_31
| spl2_83
| spl2_204
| spl2_643 ),
inference(sat_conversion,[],[f106686]) ).
cnf(s8218,plain,
( ~ spl2_149
| spl2_211
| ~ spl2_516
| ~ spl2_650
| spl2_819 ),
inference(sat_conversion,[],[f106687]) ).
cnf(s8220,plain,
( ~ spl2_84
| ~ spl2_149
| spl2_181
| ~ spl2_650
| ~ spl2_811 ),
inference(sat_conversion,[],[f106689]) ).
cnf(s8238,plain,
( ~ spl2_149
| ~ spl2_180
| ~ spl2_282
| spl2_793 ),
inference(sat_conversion,[],[f106842]) ).
cnf(s8239,plain,
( ~ spl2_84
| ~ spl2_149
| ~ spl2_180
| ~ spl2_811 ),
inference(sat_conversion,[],[f106844]) ).
cnf(s8240,plain,
( ~ spl2_149
| ~ spl2_180
| ~ spl2_747
| spl2_790 ),
inference(sat_conversion,[],[f106845]) ).
cnf(s8286,plain,
( ~ spl2_206
| ~ spl2_211
| spl2_505
| ~ spl2_794 ),
inference(sat_conversion,[],[f107471]) ).
cnf(s8287,plain,
( ~ spl2_84
| ~ spl2_110
| spl2_126
| ~ spl2_794 ),
inference(sat_conversion,[],[f107472]) ).
cnf(s8289,plain,
( ~ spl2_84
| ~ spl2_149
| ~ spl2_206
| ~ spl2_777 ),
inference(sat_conversion,[],[f107520]) ).
cnf(s8292,plain,
( ~ spl2_84
| ~ spl2_169
| ~ spl2_234
| ~ spl2_790 ),
inference(sat_conversion,[],[f107596]) ).
cnf(s8293,plain,
( ~ spl2_171
| spl2_194
| ~ spl2_195
| spl2_196 ),
inference(sat_conversion,[],[f107599]) ).
cnf(s8295,plain,
( spl2_139
| ~ spl2_140
| spl2_287 ),
inference(sat_conversion,[],[f107601]) ).
cnf(s8296,plain,
( spl2_139
| ~ spl2_355
| spl2_747 ),
inference(sat_conversion,[],[f107602]) ).
cnf(s8298,plain,
( ~ spl2_171
| spl2_207
| spl2_208
| ~ spl2_209 ),
inference(sat_conversion,[],[f107604]) ).
cnf(s8301,plain,
( ~ spl2_141
| ~ spl2_171
| spl2_196
| spl2_206 ),
inference(sat_conversion,[],[f107608]) ).
cnf(s8302,plain,
( ~ spl2_171
| ~ spl2_195
| spl2_197
| spl2_198 ),
inference(sat_conversion,[],[f107609]) ).
cnf(s8305,plain,
( spl2_139
| ~ spl2_244
| spl2_337 ),
inference(sat_conversion,[],[f107612]) ).
cnf(s8310,plain,
( ~ spl2_31
| ~ spl2_110
| spl2_139
| ~ spl2_797 ),
inference(sat_conversion,[],[f107622]) ).
cnf(s8359,plain,
( ~ spl2_132
| ~ spl2_181
| ~ spl2_829 ),
inference(sat_conversion,[],[f108028]) ).
cnf(s8360,plain,
( ~ spl2_307
| ~ spl2_588
| ~ spl2_829 ),
inference(sat_conversion,[],[f108031]) ).
cnf(s8363,plain,
( ~ spl2_110
| ~ spl2_149
| ~ spl2_345 ),
inference(sat_conversion,[],[f108035]) ).
cnf(s8364,plain,
( ~ spl2_132
| ~ spl2_169
| ~ spl2_301
| ~ spl2_814 ),
inference(sat_conversion,[],[f108037]) ).
cnf(s8365,plain,
( spl2_98
| ~ spl2_149
| ~ spl2_345 ),
inference(sat_conversion,[],[f108038]) ).
cnf(s8384,plain,
( ~ spl2_94
| ~ spl2_169
| ~ spl2_264 ),
inference(sat_conversion,[],[f108254]) ).
cnf(s8394,plain,
( ~ spl2_140
| ~ spl2_173
| ~ spl2_198
| ~ spl2_455 ),
inference(sat_conversion,[],[f108465]) ).
cnf(s8410,plain,
( ~ spl2_140
| ~ spl2_244
| ~ spl2_355
| ~ spl2_390 ),
inference(sat_conversion,[],[f108725]) ).
cnf(s8416,plain,
( spl2_90
| ~ spl2_94
| ~ spl2_113
| ~ spl2_149 ),
inference(sat_conversion,[],[f108731]) ).
cnf(s8451,plain,
( ~ spl2_168
| ~ spl2_176
| spl2_178
| spl2_179 ),
inference(sat_conversion,[],[f109011]) ).
cnf(s8458,plain,
( spl2_140
| ~ spl2_176
| spl2_179
| ~ spl2_589 ),
inference(sat_conversion,[],[f109172]) ).
cnf(s8494,plain,
( spl2_20
| ~ spl2_74
| spl2_240 ),
inference(sat_conversion,[],[f109773]) ).
cnf(s8497,plain,
( ~ spl2_254
| ~ spl2_255
| ~ spl2_417
| ~ spl2_805 ),
inference(sat_conversion,[],[f109911]) ).
cnf(s8502,plain,
( ~ spl2_94
| ~ spl2_244
| ~ spl2_254
| ~ spl2_358 ),
inference(sat_conversion,[],[f110016]) ).
cnf(s8511,plain,
( ~ spl2_139
| spl2_226
| spl2_301
| ~ spl2_712 ),
inference(sat_conversion,[],[f110240]) ).
cnf(s8512,plain,
( ~ spl2_70
| spl2_192
| ~ spl2_202
| spl2_278
| spl2_832 ),
inference(sat_conversion,[],[f110258]) ).
cnf(s8513,plain,
( ~ spl2_202
| ~ spl2_244
| spl2_832 ),
inference(sat_conversion,[],[f110259]) ).
cnf(s8514,plain,
( ~ spl2_110
| spl2_238
| ~ spl2_249
| ~ spl2_535 ),
inference(sat_conversion,[],[f110299]) ).
cnf(s8516,plain,
( ~ spl2_31
| ~ spl2_269
| spl2_378
| ~ spl2_399 ),
inference(sat_conversion,[],[f110330]) ).
cnf(s8535,plain,
( ~ spl2_269
| ~ spl2_442
| ~ spl2_588
| spl2_834 ),
inference(sat_conversion,[],[f110751]) ).
cnf(s8536,plain,
( ~ spl2_132
| ~ spl2_255
| ~ spl2_834 ),
inference(sat_conversion,[],[f110775]) ).
cnf(s8537,plain,
( ~ spl2_249
| ~ spl2_442
| ~ spl2_834 ),
inference(sat_conversion,[],[f110777]) ).
cnf(s8538,plain,
( ~ spl2_258
| ~ spl2_308
| ~ spl2_834 ),
inference(sat_conversion,[],[f110779]) ).
cnf(s8539,plain,
( ~ spl2_17
| ~ spl2_139
| spl2_140
| spl2_197 ),
inference(sat_conversion,[],[f110780]) ).
cnf(s8543,plain,
( ~ spl2_198
| spl2_203
| spl2_381 ),
inference(sat_conversion,[],[f110785]) ).
cnf(s8545,plain,
( ~ spl2_4
| ~ spl2_182
| spl2_254 ),
inference(sat_conversion,[],[f110789]) ).
cnf(s8546,plain,
( spl2_15
| spl2_83
| spl2_140
| spl2_278
| spl2_308 ),
inference(sat_conversion,[],[f110791]) ).
cnf(s8547,plain,
( ~ spl2_25
| ~ spl2_179
| spl2_254 ),
inference(sat_conversion,[],[f110792]) ).
cnf(s8551,plain,
( ~ spl2_196
| spl2_208
| ~ spl2_324 ),
inference(sat_conversion,[],[f110797]) ).
cnf(s8556,plain,
( ~ spl2_196
| ~ spl2_231
| spl2_249 ),
inference(sat_conversion,[],[f110807]) ).
cnf(s8558,plain,
( ~ spl2_4
| ~ spl2_139
| spl2_229
| spl2_244 ),
inference(sat_conversion,[],[f110809]) ).
cnf(s8567,plain,
( ~ spl2_40
| ~ spl2_94
| ~ spl2_246
| ~ spl2_833 ),
inference(sat_conversion,[],[f110820]) ).
cnf(s8571,plain,
( spl2_96
| spl2_132
| ~ spl2_168
| spl2_181 ),
inference(sat_conversion,[],[f110826]) ).
cnf(s8600,plain,
( ~ spl2_29
| ~ spl2_92
| ~ spl2_353 ),
inference(sat_conversion,[],[f111029]) ).
cnf(s8601,plain,
( ~ spl2_40
| spl2_98
| ~ spl2_353 ),
inference(sat_conversion,[],[f111031]) ).
cnf(s8602,plain,
( spl2_191
| ~ spl2_255
| spl2_835 ),
inference(sat_conversion,[],[f111035]) ).
cnf(s8605,plain,
( ~ spl2_20
| ~ spl2_178
| ~ spl2_198
| ~ spl2_480 ),
inference(sat_conversion,[],[f111038]) ).
cnf(s8606,plain,
( ~ spl2_196
| spl2_246
| ~ spl2_335 ),
inference(sat_conversion,[],[f111039]) ).
cnf(s8646,plain,
( ~ spl2_169
| ~ spl2_255
| spl2_363 ),
inference(sat_conversion,[],[f111257]) ).
cnf(s8647,plain,
( ~ spl2_169
| ~ spl2_254
| ~ spl2_265
| spl2_268 ),
inference(sat_conversion,[],[f111259]) ).
cnf(s8664,plain,
( spl2_207
| ~ spl2_209
| spl2_255
| ~ spl2_590 ),
inference(sat_conversion,[],[f111462]) ).
cnf(s8697,plain,
( ~ spl2_278
| ~ spl2_301
| spl2_838 ),
inference(sat_conversion,[],[f112310]) ).
cnf(s8699,plain,
( ~ spl2_173
| ~ spl2_202
| ~ spl2_244
| ~ spl2_355
| ~ spl2_588 ),
inference(sat_conversion,[],[f112370]) ).
cnf(s8700,plain,
( spl2_191
| ~ spl2_202
| ~ spl2_244
| ~ spl2_278
| ~ spl2_355 ),
inference(sat_conversion,[],[f112373]) ).
cnf(s8701,plain,
( ~ spl2_40
| spl2_191
| ~ spl2_202
| ~ spl2_355
| spl2_839 ),
inference(sat_conversion,[],[f112378]) ).
cnf(s8702,plain,
( ~ spl2_202
| ~ spl2_278
| spl2_794 ),
inference(sat_conversion,[],[f112379]) ).
cnf(s8703,plain,
( ~ spl2_132
| ~ spl2_278
| ~ spl2_393
| spl2_394 ),
inference(sat_conversion,[],[f112380]) ).
cnf(s8707,plain,
( ~ spl2_169
| ~ spl2_180
| ~ spl2_355
| ~ spl2_412 ),
inference(sat_conversion,[],[f112390]) ).
cnf(s8711,plain,
( ~ spl2_132
| ~ spl2_215
| ~ spl2_301 ),
inference(sat_conversion,[],[f112401]) ).
cnf(s8715,plain,
( ~ spl2_198
| ~ spl2_258
| ~ spl2_371
| ~ spl2_399
| ~ spl2_442 ),
inference(sat_conversion,[],[f112405]) ).
cnf(s8722,plain,
( ~ spl2_188
| ~ spl2_303
| ~ spl2_355
| spl2_372 ),
inference(sat_conversion,[],[f112413]) ).
cnf(s8725,plain,
( ~ spl2_141
| ~ spl2_171
| spl2_229
| spl2_246 ),
inference(sat_conversion,[],[f112419]) ).
cnf(s8732,plain,
( spl2_35
| ~ spl2_198
| spl2_203 ),
inference(sat_conversion,[],[f112428]) ).
cnf(s8736,plain,
( ~ spl2_40
| ~ spl2_94
| spl2_126
| ~ spl2_835 ),
inference(sat_conversion,[],[f112461]) ).
cnf(s8744,plain,
( ~ spl2_204
| ~ spl2_290
| spl2_405 ),
inference(sat_conversion,[],[f112501]) ).
cnf(s8745,plain,
( spl2_35
| ~ spl2_204
| ~ spl2_278 ),
inference(sat_conversion,[],[f112502]) ).
cnf(s8760,plain,
( ~ spl2_110
| ~ spl2_255
| ~ spl2_278
| ~ spl2_371
| spl2_445 ),
inference(sat_conversion,[],[f112639]) ).
cnf(s8788,plain,
( ~ spl2_269
| ~ spl2_355
| spl2_811
| ~ spl2_838 ),
inference(sat_conversion,[],[f113250]) ).
cnf(s8789,plain,
( spl2_268
| ~ spl2_269
| ~ spl2_355
| ~ spl2_806 ),
inference(sat_conversion,[],[f113252]) ).
cnf(s8790,plain,
( ~ spl2_110
| ~ spl2_169
| ~ spl2_234
| ~ spl2_839 ),
inference(sat_conversion,[],[f113253]) ).
cnf(s8792,plain,
( ~ spl2_258
| ~ spl2_269
| ~ spl2_371
| ~ spl2_378 ),
inference(sat_conversion,[],[f113256]) ).
cnf(s8793,plain,
( ~ spl2_176
| spl2_194
| ~ spl2_587
| spl2_601 ),
inference(sat_conversion,[],[f113257]) ).
cnf(s8794,plain,
( ~ spl2_169
| ~ spl2_181
| spl2_445
| ~ spl2_835 ),
inference(sat_conversion,[],[f113259]) ).
cnf(s8795,plain,
( spl2_206
| ~ spl2_247
| ~ spl2_587
| spl2_601 ),
inference(sat_conversion,[],[f113260]) ).
cnf(s8797,plain,
( ~ spl2_29
| ~ spl2_94
| ~ spl2_202
| ~ spl2_312 ),
inference(sat_conversion,[],[f113262]) ).
cnf(s8826,plain,
( spl2_102
| ~ spl2_290
| spl2_308
| ~ spl2_556 ),
inference(sat_conversion,[],[f113601]) ).
cnf(s8831,plain,
( ~ spl2_170
| ~ spl2_442
| ~ spl2_740
| spl2_843 ),
inference(sat_conversion,[],[f114051]) ).
cnf(s8834,plain,
( ~ spl2_269
| ~ spl2_442
| ~ spl2_516
| spl2_705 ),
inference(sat_conversion,[],[f114068]) ).
cnf(s8844,plain,
( ~ spl2_355
| ~ spl2_371
| spl2_455 ),
inference(sat_conversion,[],[f114349]) ).
cnf(s8850,plain,
( ~ spl2_149
| ~ spl2_202
| ~ spl2_339
| spl2_820 ),
inference(sat_conversion,[],[f114358]) ).
cnf(s8852,plain,
( ~ spl2_20
| ~ spl2_149
| ~ spl2_202
| ~ spl2_378 ),
inference(sat_conversion,[],[f114360]) ).
cnf(s8854,plain,
( ~ spl2_94
| ~ spl2_208
| ~ spl2_369
| spl2_754 ),
inference(sat_conversion,[],[f114364]) ).
cnf(s8857,plain,
( spl2_203
| ~ spl2_208
| spl2_835 ),
inference(sat_conversion,[],[f114369]) ).
cnf(s8860,plain,
( ~ spl2_208
| ~ spl2_232
| spl2_237
| ~ spl2_274 ),
inference(sat_conversion,[],[f114372]) ).
cnf(s8862,plain,
( ~ spl2_115
| ~ spl2_169
| ~ spl2_258
| spl2_270 ),
inference(sat_conversion,[],[f114374]) ).
cnf(s8868,plain,
( spl2_93
| spl2_587
| spl2_588 ),
inference(sat_conversion,[],[f114434]) ).
cnf(s8869,plain,
( spl2_93
| spl2_371
| spl2_590 ),
inference(sat_conversion,[],[f114436]) ).
cnf(s8870,plain,
( spl2_93
| spl2_355
| spl2_589 ),
inference(sat_conversion,[],[f114439]) ).
cnf(s8871,plain,
( spl2_93
| spl2_442
| spl2_586 ),
inference(sat_conversion,[],[f114442]) ).
cnf(s8874,plain,
( spl2_93
| ~ spl2_128
| spl2_130
| spl2_234
| spl2_278 ),
inference(sat_conversion,[],[f114446]) ).
cnf(s8890,plain,
( ~ spl2_94
| ~ spl2_244
| ~ spl2_393
| spl2_412 ),
inference(sat_conversion,[],[f114556]) ).
cnf(s8918,plain,
( ~ spl2_170
| ~ spl2_211
| spl2_213 ),
inference(sat_conversion,[],[f114846]) ).
cnf(s8935,plain,
( ~ spl2_173
| ~ spl2_206
| ~ spl2_244
| ~ spl2_455 ),
inference(sat_conversion,[],[f115148]) ).
cnf(s8937,plain,
( ~ spl2_132
| ~ spl2_169
| ~ spl2_282
| spl2_829 ),
inference(sat_conversion,[],[f115150]) ).
cnf(s8938,plain,
( spl2_255
| spl2_304
| ~ spl2_305
| ~ spl2_586 ),
inference(sat_conversion,[],[f115151]) ).
cnf(s8939,plain,
( spl2_4
| ~ spl2_206
| spl2_827 ),
inference(sat_conversion,[],[f115154]) ).
cnf(s8940,plain,
( spl2_189
| spl2_246
| ~ spl2_247
| ~ spl2_587 ),
inference(sat_conversion,[],[f115155]) ).
cnf(s8941,plain,
( ~ spl2_205
| spl2_217
| spl2_258
| ~ spl2_586 ),
inference(sat_conversion,[],[f115156]) ).
cnf(s8943,plain,
( ~ spl2_4
| ~ spl2_226
| spl2_244 ),
inference(sat_conversion,[],[f115158]) ).
cnf(s8945,plain,
( ~ spl2_170
| ~ spl2_244
| spl2_364
| ~ spl2_369 ),
inference(sat_conversion,[],[f115160]) ).
cnf(s8947,plain,
( ~ spl2_4
| spl2_94
| ~ spl2_130 ),
inference(sat_conversion,[],[f115163]) ).
cnf(s8949,plain,
( spl2_181
| ~ spl2_586
| spl2_627 ),
inference(sat_conversion,[],[f115165]) ).
cnf(s8952,plain,
( spl2_182
| ~ spl2_191
| spl2_249
| ~ spl2_587 ),
inference(sat_conversion,[],[f115168]) ).
cnf(s8961,plain,
( ~ spl2_201
| spl2_221
| spl2_254
| ~ spl2_586 ),
inference(sat_conversion,[],[f115209]) ).
cnf(s8962,plain,
( spl2_206
| ~ spl2_247
| ~ spl2_587
| spl2_601 ),
inference(sat_conversion,[],[f115210]) ).
cnf(s8963,plain,
( spl2_180
| ~ spl2_201
| ~ spl2_586
| spl2_601 ),
inference(sat_conversion,[],[f115211]) ).
cnf(s8969,plain,
( ~ spl2_31
| ~ spl2_92
| spl2_101 ),
inference(sat_conversion,[],[f115273]) ).
cnf(s8975,plain,
( ~ spl2_156
| spl2_180
| spl2_182
| ~ spl2_191 ),
inference(sat_conversion,[],[f115315]) ).
cnf(s9009,plain,
( ~ spl2_169
| ~ spl2_180
| ~ spl2_371
| ~ spl2_820 ),
inference(sat_conversion,[],[f115692]) ).
cnf(s9015,plain,
( ~ spl2_29
| spl2_35
| ~ spl2_149 ),
inference(sat_conversion,[],[f115817]) ).
cnf(s9032,plain,
( ~ spl2_168
| spl2_307
| ~ spl2_587
| spl2_601 ),
inference(sat_conversion,[],[f115991]) ).
cnf(s9033,plain,
( spl2_191
| ~ spl2_255
| spl2_256 ),
inference(sat_conversion,[],[f115993]) ).
cnf(s9034,plain,
( ~ spl2_168
| spl2_177
| spl2_208
| ~ spl2_587 ),
inference(sat_conversion,[],[f115994]) ).
cnf(s9038,plain,
( ~ spl2_191
| ~ spl2_203
| ~ spl2_586
| spl2_629 ),
inference(sat_conversion,[],[f116002]) ).
cnf(s9039,plain,
( spl2_211
| ~ spl2_587
| spl2_823 ),
inference(sat_conversion,[],[f116003]) ).
cnf(s9042,plain,
( ~ spl2_182
| ~ spl2_203
| ~ spl2_586 ),
inference(sat_conversion,[],[f116007]) ).
cnf(s9050,plain,
( spl2_181
| ~ spl2_203
| ~ spl2_220
| spl2_269
| ~ spl2_586 ),
inference(sat_conversion,[],[f116020]) ).
cnf(s9051,plain,
( ~ spl2_203
| spl2_269
| ~ spl2_586
| spl2_629 ),
inference(sat_conversion,[],[f116021]) ).
cnf(s9052,plain,
( ~ spl2_203
| spl2_216
| spl2_269
| ~ spl2_586 ),
inference(sat_conversion,[],[f116023]) ).
cnf(s9053,plain,
( ~ spl2_35
| ~ spl2_181
| ~ spl2_188
| ~ spl2_204
| ~ spl2_250
| ~ spl2_355 ),
inference(sat_conversion,[],[f116025]) ).
cnf(s9057,plain,
( ~ spl2_35
| ~ spl2_173
| ~ spl2_194
| ~ spl2_204
| ~ spl2_211
| ~ spl2_250 ),
inference(sat_conversion,[],[f116029]) ).
cnf(s9059,plain,
( spl2_181
| spl2_211
| spl2_257
| ~ spl2_586 ),
inference(sat_conversion,[],[f116033]) ).
cnf(s9062,plain,
( spl2_93
| spl2_234
| spl2_250
| spl2_677 ),
inference(sat_conversion,[],[f116039]) ).
cnf(s9064,plain,
( ~ spl2_149
| spl2_191
| ~ spl2_532 ),
inference(sat_conversion,[],[f116041]) ).
cnf(s9065,plain,
( spl2_17
| ~ spl2_204
| spl2_521 ),
inference(sat_conversion,[],[f116042]) ).
cnf(s9067,plain,
( spl2_30
| ~ spl2_31
| ~ spl2_115
| ~ spl2_132 ),
inference(sat_conversion,[],[f116044]) ).
cnf(s9069,plain,
( ~ spl2_29
| ~ spl2_35
| ~ spl2_40
| spl2_152 ),
inference(sat_conversion,[],[f116049]) ).
cnf(s9073,plain,
( ~ spl2_17
| spl2_105
| spl2_106 ),
inference(sat_conversion,[],[f116088]) ).
cnf(s9074,plain,
( ~ spl2_17
| spl2_106
| spl2_107 ),
inference(sat_conversion,[],[f116089]) ).
cnf(s9075,plain,
( spl2_15
| ~ spl2_17
| spl2_20
| ~ spl2_156 ),
inference(sat_conversion,[],[f116090]) ).
cnf(s9084,plain,
( ~ spl2_139
| spl2_227
| spl2_245 ),
inference(sat_conversion,[],[f116136]) ).
cnf(s9086,plain,
( ~ spl2_139
| ~ spl2_156
| spl2_202
| spl2_226 ),
inference(sat_conversion,[],[f116140]) ).
cnf(s9089,plain,
( spl2_21
| spl2_117
| spl2_178 ),
inference(sat_conversion,[],[f116169]) ).
cnf(s9101,plain,
( spl2_21
| spl2_234
| spl2_324 ),
inference(sat_conversion,[],[f116279]) ).
cnf(s9104,plain,
( ~ spl2_132
| ~ spl2_234
| spl2_237
| ~ spl2_838 ),
inference(sat_conversion,[],[f116293]) ).
cnf(s9107,plain,
( spl2_92
| ~ spl2_168
| ~ spl2_176
| spl2_177 ),
inference(sat_conversion,[],[f116355]) ).
cnf(s9111,plain,
( ~ spl2_140
| ~ spl2_234
| ~ spl2_473 ),
inference(sat_conversion,[],[f116376]) ).
cnf(s9114,plain,
( spl2_93
| spl2_110
| spl2_301
| spl2_637 ),
inference(sat_conversion,[],[f116379]) ).
cnf(s9117,plain,
( spl2_139
| ~ spl2_278
| spl2_685 ),
inference(sat_conversion,[],[f116383]) ).
cnf(s9118,plain,
( spl2_98
| spl2_113
| ~ spl2_132 ),
inference(sat_conversion,[],[f116384]) ).
cnf(s9128,plain,
( spl2_249
| ~ spl2_278
| ~ spl2_299 ),
inference(sat_conversion,[],[f116601]) ).
cnf(s9129,plain,
( ~ spl2_75
| spl2_123
| spl2_232
| ~ spl2_299
| ~ spl2_621 ),
inference(sat_conversion,[],[f116602]) ).
cnf(s9131,plain,
( ~ spl2_232
| spl2_255
| ~ spl2_299 ),
inference(sat_conversion,[],[f116605]) ).
cnf(s9134,plain,
( ~ spl2_14
| spl2_23
| ~ spl2_27
| spl2_68
| ~ spl2_299 ),
inference(sat_conversion,[],[f116610]) ).
cnf(s9139,plain,
( ~ spl2_68
| ~ spl2_299
| spl2_384 ),
inference(sat_conversion,[],[f116616]) ).
cnf(s9142,plain,
( ~ spl2_178
| spl2_258
| ~ spl2_299 ),
inference(sat_conversion,[],[f116619]) ).
cnf(s9144,plain,
( ~ spl2_14
| spl2_78
| spl2_178
| ~ spl2_299
| ~ spl2_621 ),
inference(sat_conversion,[],[f116622]) ).
cnf(s9147,plain,
( spl2_232
| spl2_233
| ~ spl2_299 ),
inference(sat_conversion,[],[f116626]) ).
cnf(s9149,plain,
( spl2_68
| ~ spl2_204
| ~ spl2_299 ),
inference(sat_conversion,[],[f116628]) ).
cnf(s9150,plain,
( ~ spl2_132
| spl2_269
| ~ spl2_299 ),
inference(sat_conversion,[],[f116630]) ).
cnf(s9151,plain,
( spl2_194
| ~ spl2_204
| ~ spl2_299 ),
inference(sat_conversion,[],[f116632]) ).
cnf(s9154,plain,
( ~ spl2_29
| spl2_244
| ~ spl2_299 ),
inference(sat_conversion,[],[f116638]) ).
cnf(s9158,plain,
( spl2_121
| spl2_232
| ~ spl2_299 ),
inference(sat_conversion,[],[f116642]) ).
cnf(s9165,plain,
( spl2_17
| spl2_33
| ~ spl2_308 ),
inference(sat_conversion,[],[f116649]) ).
cnf(s9166,plain,
( ~ spl2_4
| spl2_70
| spl2_266 ),
inference(sat_conversion,[],[f116671]) ).
cnf(s9167,plain,
( ~ spl2_4
| spl2_71
| spl2_266 ),
inference(sat_conversion,[],[f116672]) ).
cnf(s9168,plain,
( ~ spl2_4
| spl2_149
| spl2_279 ),
inference(sat_conversion,[],[f116673]) ).
cnf(s9173,plain,
( spl2_172
| spl2_173
| spl2_299 ),
inference(sat_conversion,[],[f116720]) ).
cnf(s9174,plain,
( spl2_170
| spl2_171
| spl2_299 ),
inference(sat_conversion,[],[f116721]) ).
cnf(s9175,plain,
( spl2_299
| spl2_417
| spl2_418 ),
inference(sat_conversion,[],[f116722]) ).
cnf(s9176,plain,
( spl2_299
| spl2_419
| spl2_420 ),
inference(sat_conversion,[],[f116723]) ).
cnf(s9218,plain,
( ~ spl2_172
| ~ spl2_201
| spl2_221
| spl2_244 ),
inference(sat_conversion,[],[f117192]) ).
cnf(s9219,plain,
( ~ spl2_172
| spl2_234
| spl2_304
| ~ spl2_305 ),
inference(sat_conversion,[],[f117193]) ).
cnf(s9220,plain,
( ~ spl2_172
| spl2_196
| spl2_301
| ~ spl2_305 ),
inference(sat_conversion,[],[f117194]) ).
cnf(s9221,plain,
( ~ spl2_172
| spl2_196
| spl2_204
| ~ spl2_205 ),
inference(sat_conversion,[],[f117195]) ).
cnf(s9222,plain,
( spl2_140
| ~ spl2_172
| ~ spl2_205
| spl2_217 ),
inference(sat_conversion,[],[f117196]) ).
cnf(s9223,plain,
( ~ spl2_172
| spl2_196
| ~ spl2_201
| spl2_202 ),
inference(sat_conversion,[],[f117197]) ).
cnf(s9228,plain,
( ~ spl2_99
| spl2_244
| ~ spl2_250 ),
inference(sat_conversion,[],[f117241]) ).
cnf(s9230,plain,
( spl2_84
| ~ spl2_168
| spl2_177
| ~ spl2_247 ),
inference(sat_conversion,[],[f117243]) ).
cnf(s9233,plain,
( ~ spl2_128
| spl2_130
| spl2_255
| spl2_269
| spl2_299 ),
inference(sat_conversion,[],[f117246]) ).
cnf(s9234,plain,
( spl2_203
| ~ spl2_246
| spl2_334 ),
inference(sat_conversion,[],[f117247]) ).
cnf(s9235,plain,
( ~ spl2_170
| spl2_203
| spl2_213 ),
inference(sat_conversion,[],[f117248]) ).
cnf(s9245,plain,
( ~ spl2_35
| ~ spl2_204
| ~ spl2_250
| spl2_847 ),
inference(sat_conversion,[],[f117300]) ).
cnf(s9257,plain,
( spl2_169
| ~ spl2_209
| ~ spl2_590
| spl2_593 ),
inference(sat_conversion,[],[f117535]) ).
cnf(s9263,plain,
( spl2_169
| ~ spl2_305
| ~ spl2_586
| spl2_601 ),
inference(sat_conversion,[],[f117644]) ).
cnf(s9271,plain,
( ~ spl2_33
| ~ spl2_188
| ~ spl2_269
| spl2_520 ),
inference(sat_conversion,[],[f117710]) ).
cnf(s9296,plain,
( spl2_30
| ~ spl2_31
| ~ spl2_269
| ~ spl2_402 ),
inference(sat_conversion,[],[f118083]) ).
cnf(s9298,plain,
( ~ spl2_168
| spl2_301
| ~ spl2_589
| spl2_593 ),
inference(sat_conversion,[],[f118087]) ).
cnf(s9299,plain,
( ~ spl2_188
| ~ spl2_371
| ~ spl2_486
| ~ spl2_588 ),
inference(sat_conversion,[],[f118088]) ).
cnf(s9300,plain,
( ~ spl2_25
| ~ spl2_78
| spl2_94 ),
inference(sat_conversion,[],[f118089]) ).
cnf(s9320,plain,
( spl2_38
| ~ spl2_110
| ~ spl2_132 ),
inference(sat_conversion,[],[f118420]) ).
cnf(s9321,plain,
( spl2_38
| spl2_98
| ~ spl2_132 ),
inference(sat_conversion,[],[f118422]) ).
cnf(s9323,plain,
( ~ spl2_94
| ~ spl2_132
| ~ spl2_169
| ~ spl2_268 ),
inference(sat_conversion,[],[f118426]) ).
cnf(s9325,plain,
( spl2_189
| spl2_244
| ~ spl2_247
| ~ spl2_589 ),
inference(sat_conversion,[],[f118428]) ).
cnf(s9326,plain,
( ~ spl2_191
| spl2_278
| ~ spl2_589
| spl2_703 ),
inference(sat_conversion,[],[f118430]) ).
cnf(s9329,plain,
( spl2_202
| ~ spl2_247
| ~ spl2_589
| spl2_593 ),
inference(sat_conversion,[],[f118434]) ).
cnf(s9330,plain,
( spl2_191
| ~ spl2_371
| spl2_740 ),
inference(sat_conversion,[],[f118435]) ).
cnf(s9331,plain,
( spl2_191
| ~ spl2_254
| spl2_342 ),
inference(sat_conversion,[],[f118436]) ).
cnf(s9338,plain,
( ~ spl2_47
| ~ spl2_202
| spl2_845 ),
inference(sat_conversion,[],[f118473]) ).
cnf(s9354,plain,
( ~ spl2_94
| ~ spl2_234
| spl2_353
| ~ spl2_832 ),
inference(sat_conversion,[],[f118729]) ).
cnf(s9355,plain,
( ~ spl2_206
| ~ spl2_307
| ~ spl2_442
| ~ spl2_692 ),
inference(sat_conversion,[],[f118730]) ).
cnf(s9356,plain,
( spl2_181
| spl2_255
| spl2_299
| spl2_625 ),
inference(sat_conversion,[],[f118731]) ).
cnf(s9362,plain,
( spl2_182
| ~ spl2_191
| spl2_278
| ~ spl2_589 ),
inference(sat_conversion,[],[f118740]) ).
cnf(s9364,plain,
( ~ spl2_180
| ~ spl2_371
| ~ spl2_845 ),
inference(sat_conversion,[],[f118742]) ).
cnf(s9366,plain,
( ~ spl2_149
| ~ spl2_250
| ~ spl2_845 ),
inference(sat_conversion,[],[f118745]) ).
cnf(s9367,plain,
( ~ spl2_176
| spl2_204
| ~ spl2_589
| spl2_593 ),
inference(sat_conversion,[],[f118746]) ).
cnf(s9369,plain,
( ~ spl2_191
| spl2_278
| ~ spl2_589
| spl2_703 ),
inference(sat_conversion,[],[f118748]) ).
cnf(s9372,plain,
( spl2_140
| ~ spl2_176
| spl2_179
| ~ spl2_589 ),
inference(sat_conversion,[],[f118752]) ).
cnf(s9373,plain,
( ~ spl2_4
| spl2_246
| ~ spl2_247
| ~ spl2_823 ),
inference(sat_conversion,[],[f118754]) ).
cnf(s9374,plain,
( spl2_139
| ~ spl2_149
| ~ spl2_845 ),
inference(sat_conversion,[],[f118755]) ).
cnf(s9377,plain,
( spl2_181
| spl2_245
| spl2_278
| ~ spl2_589 ),
inference(sat_conversion,[],[f118760]) ).
cnf(s9379,plain,
( spl2_93
| spl2_130
| spl2_132
| spl2_234
| spl2_278 ),
inference(sat_conversion,[],[f118762]) ).
cnf(s9382,plain,
( spl2_130
| spl2_132
| spl2_255
| spl2_269
| spl2_299 ),
inference(sat_conversion,[],[f118767]) ).
cnf(s9398,plain,
( ~ spl2_6
| spl2_180
| spl2_186
| ~ spl2_191 ),
inference(sat_conversion,[],[f118876]) ).
cnf(s9407,plain,
( ~ spl2_6
| ~ spl2_203
| spl2_206
| spl2_212 ),
inference(sat_conversion,[],[f118921]) ).
cnf(s9419,plain,
( ~ spl2_84
| ~ spl2_149
| ~ spl2_237 ),
inference(sat_conversion,[],[f118999]) ).
cnf(s9456,plain,
( ~ spl2_180
| ~ spl2_188
| ~ spl2_442
| ~ spl2_819 ),
inference(sat_conversion,[],[f119500]) ).
cnf(s9457,plain,
( ~ spl2_149
| ~ spl2_202
| ~ spl2_206
| ~ spl2_843 ),
inference(sat_conversion,[],[f119532]) ).
cnf(s9460,plain,
( ~ spl2_84
| ~ spl2_101
| ~ spl2_149
| spl2_781 ),
inference(sat_conversion,[],[f119688]) ).
cnf(s9461,plain,
( ~ spl2_4
| ~ spl2_203
| spl2_221
| spl2_246 ),
inference(sat_conversion,[],[f119730]) ).
cnf(s9464,plain,
( spl2_17
| ~ spl2_188
| ~ spl2_308
| spl2_401 ),
inference(sat_conversion,[],[f119922]) ).
cnf(s9468,plain,
( ~ spl2_149
| ~ spl2_206
| ~ spl2_827
| spl2_852 ),
inference(sat_conversion,[],[f119968]) ).
cnf(s9469,plain,
( ~ spl2_173
| ~ spl2_202
| ~ spl2_852 ),
inference(sat_conversion,[],[f119982]) ).
cnf(s9470,plain,
( ~ spl2_180
| ~ spl2_442
| ~ spl2_852 ),
inference(sat_conversion,[],[f119984]) ).
cnf(s9485,plain,
( spl2_96
| spl2_97
| ~ spl2_98 ),
inference(sat_conversion,[],[f120203]) ).
cnf(s9495,plain,
( spl2_4
| ~ spl2_180
| spl2_758 ),
inference(sat_conversion,[],[f120332]) ).
cnf(s9496,plain,
( ~ spl2_98
| spl2_177
| ~ spl2_191
| spl2_255 ),
inference(sat_conversion,[],[f120333]) ).
cnf(s9497,plain,
( spl2_177
| spl2_255
| ~ spl2_324
| ~ spl2_589 ),
inference(sat_conversion,[],[f120334]) ).
cnf(s9499,plain,
( ~ spl2_4
| spl2_189
| ~ spl2_191
| spl2_254 ),
inference(sat_conversion,[],[f120336]) ).
cnf(s9501,plain,
( spl2_182
| ~ spl2_231
| spl2_269
| ~ spl2_589 ),
inference(sat_conversion,[],[f120339]) ).
cnf(s9503,plain,
( spl2_203
| ~ spl2_208
| spl2_274 ),
inference(sat_conversion,[],[f120343]) ).
cnf(s9505,plain,
( spl2_179
| spl2_258
| ~ spl2_333
| ~ spl2_589 ),
inference(sat_conversion,[],[f120345]) ).
cnf(s9508,plain,
( ~ spl2_98
| ~ spl2_209
| spl2_255
| ~ spl2_613 ),
inference(sat_conversion,[],[f120349]) ).
cnf(s9510,plain,
( ~ spl2_113
| ~ spl2_169
| ~ spl2_269
| spl2_520 ),
inference(sat_conversion,[],[f120351]) ).
cnf(s9512,plain,
( spl2_4
| ~ spl2_20
| spl2_36 ),
inference(sat_conversion,[],[f120353]) ).
cnf(s9513,plain,
( spl2_189
| spl2_254
| ~ spl2_335
| ~ spl2_589 ),
inference(sat_conversion,[],[f120355]) ).
cnf(s9514,plain,
( ~ spl2_244
| ~ spl2_371
| ~ spl2_597
| spl2_754 ),
inference(sat_conversion,[],[f120356]) ).
cnf(s9518,plain,
( ~ spl2_98
| spl2_130
| spl2_255
| spl2_269
| spl2_299 ),
inference(sat_conversion,[],[f120362]) ).
cnf(s9519,plain,
( spl2_93
| spl2_132
| spl2_226
| spl2_278
| spl2_301 ),
inference(sat_conversion,[],[f120363]) ).
cnf(s9520,plain,
( spl2_130
| spl2_132
| spl2_255
| spl2_269
| spl2_299 ),
inference(sat_conversion,[],[f120364]) ).
cnf(s9521,plain,
( spl2_93
| spl2_132
| spl2_226
| ~ spl2_231
| spl2_301 ),
inference(sat_conversion,[],[f120365]) ).
cnf(s9522,plain,
( ~ spl2_170
| ~ spl2_180
| ~ spl2_254
| ~ spl2_371
| ~ spl2_442 ),
inference(sat_conversion,[],[f120366]) ).
cnf(s9523,plain,
( spl2_93
| ~ spl2_98
| spl2_130
| spl2_234
| spl2_278 ),
inference(sat_conversion,[],[f120367]) ).
cnf(s9524,plain,
( ~ spl2_40
| ~ spl2_170
| ~ spl2_180
| spl2_203
| ~ spl2_250
| ~ spl2_371
| ~ spl2_442 ),
inference(sat_conversion,[],[f120368]) ).
cnf(s9529,plain,
( spl2_98
| ~ spl2_169
| spl2_282 ),
inference(sat_conversion,[],[f120376]) ).
cnf(s9556,plain,
( spl2_305
| spl2_306
| spl2_307 ),
inference(sat_conversion,[],[f120653]) ).
cnf(s9579,plain,
( ~ spl2_211
| ~ spl2_307
| spl2_833
| ~ spl2_835 ),
inference(sat_conversion,[],[f121160]) ).
cnf(s9580,plain,
( spl2_177
| spl2_208
| ~ spl2_476
| ~ spl2_587 ),
inference(sat_conversion,[],[f121334]) ).
cnf(s9582,plain,
( ~ spl2_126
| ~ spl2_169
| ~ spl2_180
| ~ spl2_181 ),
inference(sat_conversion,[],[f121337]) ).
cnf(s9593,plain,
( spl2_4
| ~ spl2_84
| spl2_344 ),
inference(sat_conversion,[],[f121366]) ).
cnf(s9632,plain,
( ~ spl2_169
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(sat_conversion,[],[f122335]) ).
cnf(s9633,plain,
( ~ spl2_110
| ~ spl2_169
| ~ spl2_208
| ~ spl2_211
| ~ spl2_255
| ~ spl2_442 ),
inference(sat_conversion,[],[f122337]) ).
cnf(s9634,plain,
( ~ spl2_110
| ~ spl2_169
| spl2_203
| ~ spl2_208
| ~ spl2_255
| ~ spl2_442 ),
inference(sat_conversion,[],[f122339]) ).
cnf(s9635,plain,
( ~ spl2_170
| ~ spl2_246
| ~ spl2_405
| spl2_486 ),
inference(sat_conversion,[],[f122340]) ).
cnf(s9636,plain,
( ~ spl2_173
| ~ spl2_208
| ~ spl2_236
| spl2_777 ),
inference(sat_conversion,[],[f122341]) ).
cnf(s9637,plain,
( ~ spl2_173
| ~ spl2_246
| spl2_261
| ~ spl2_832 ),
inference(sat_conversion,[],[f122342]) ).
cnf(s9645,plain,
( spl2_176
| spl2_188
| spl2_193 ),
inference(sat_conversion,[],[f122376]) ).
cnf(s9650,plain,
( ~ spl2_47
| ~ spl2_206
| spl2_852 ),
inference(sat_conversion,[],[f122410]) ).
cnf(s9658,plain,
( ~ spl2_181
| ~ spl2_371
| spl2_740 ),
inference(sat_conversion,[],[f122590]) ).
cnf(s9659,plain,
( ~ spl2_181
| ~ spl2_188
| ~ spl2_371
| ~ spl2_818 ),
inference(sat_conversion,[],[f122592]) ).
cnf(s9664,plain,
( ~ spl2_40
| spl2_203
| ~ spl2_261 ),
inference(sat_conversion,[],[f122631]) ).
cnf(s9671,plain,
( ~ spl2_181
| ~ spl2_188
| ~ spl2_355
| ~ spl2_847 ),
inference(sat_conversion,[],[f122827]) ).
cnf(s9672,plain,
( spl2_182
| ~ spl2_183
| spl2_249
| ~ spl2_587 ),
inference(sat_conversion,[],[f122978]) ).
cnf(s9673,plain,
( ~ spl2_183
| spl2_216
| spl2_249
| ~ spl2_586 ),
inference(sat_conversion,[],[f123030]) ).
cnf(s9715,plain,
( spl2_84
| spl2_149
| ~ spl2_645 ),
inference(sat_conversion,[],[f127069]) ).
cnf(s9719,plain,
( spl2_193
| spl2_208
| spl2_249
| ~ spl2_645 ),
inference(sat_conversion,[],[f127076]) ).
cnf(s9720,plain,
( spl2_93
| spl2_234
| spl2_278
| ~ spl2_645 ),
inference(sat_conversion,[],[f127078]) ).
cnf(s9721,plain,
( spl2_21
| ~ spl2_44
| spl2_308
| spl2_346
| ~ spl2_645 ),
inference(sat_conversion,[],[f127079]) ).
cnf(s9722,plain,
( spl2_21
| spl2_92
| spl2_308
| ~ spl2_645 ),
inference(sat_conversion,[],[f127081]) ).
cnf(s9723,plain,
( ~ spl2_47
| spl2_149
| spl2_345
| ~ spl2_645 ),
inference(sat_conversion,[],[f127083]) ).
cnf(s9724,plain,
( ~ spl2_94
| spl2_193
| ~ spl2_206
| ~ spl2_246
| spl2_249
| spl2_353
| ~ spl2_645 ),
inference(sat_conversion,[],[f127084]) ).
cnf(s9727,plain,
( ~ spl2_94
| spl2_193
| spl2_249
| ~ spl2_369
| ~ spl2_645
| spl2_754 ),
inference(sat_conversion,[],[f127087]) ).
cnf(s9731,plain,
( ~ spl2_16
| spl2_140
| spl2_278 ),
inference(sat_conversion,[],[f127435]) ).
cnf(s9732,plain,
( ~ spl2_16
| spl2_132
| spl2_178 ),
inference(sat_conversion,[],[f127437]) ).
cnf(s9733,plain,
( ~ spl2_16
| spl2_132
| spl2_346
| ~ spl2_363 ),
inference(sat_conversion,[],[f127439]) ).
cnf(s9734,plain,
( ~ spl2_18
| spl2_140
| spl2_244 ),
inference(sat_conversion,[],[f127847]) ).
cnf(s9741,plain,
( spl2_198
| spl2_217
| ~ spl2_477
| ~ spl2_586 ),
inference(sat_conversion,[],[f127856]) ).
cnf(s9745,plain,
( spl2_14
| spl2_20
| spl2_21 ),
inference(sat_conversion,[],[f127867]) ).
cnf(s9754,plain,
( ~ spl2_206
| ~ spl2_208
| spl2_535 ),
inference(sat_conversion,[],[f128059]) ).
cnf(s9757,plain,
( ~ spl2_173
| spl2_278
| spl2_299
| ~ spl2_545 ),
inference(sat_conversion,[],[f128710]) ).
cnf(s9760,plain,
( spl2_93
| spl2_132
| spl2_301
| ~ spl2_703 ),
inference(sat_conversion,[],[f128933]) ).
cnf(s9762,plain,
( spl2_83
| spl2_204
| spl2_308
| ~ spl2_703 ),
inference(sat_conversion,[],[f128940]) ).
cnf(s9764,plain,
( spl2_149
| spl2_202
| ~ spl2_703 ),
inference(sat_conversion,[],[f128945]) ).
cnf(s9765,plain,
( spl2_93
| spl2_132
| ~ spl2_363
| spl2_471
| ~ spl2_703 ),
inference(sat_conversion,[],[f128946]) ).
cnf(s9778,plain,
( spl2_139
| spl2_140
| ~ spl2_538 ),
inference(sat_conversion,[],[f129742]) ).
cnf(s9786,plain,
( spl2_21
| ~ spl2_52
| spl2_84
| spl2_132 ),
inference(sat_conversion,[],[f130384]) ).
cnf(s9787,plain,
( ~ spl2_52
| spl2_83
| spl2_202
| spl2_278 ),
inference(sat_conversion,[],[f130386]) ).
cnf(s9788,plain,
( ~ spl2_52
| spl2_180
| spl2_192
| spl2_269 ),
inference(sat_conversion,[],[f130387]) ).
cnf(s9791,plain,
( ~ spl2_131
| spl2_234
| spl2_278 ),
inference(sat_conversion,[],[f130694]) ).
cnf(s9792,plain,
( ~ spl2_131
| spl2_278
| ~ spl2_455
| spl2_471 ),
inference(sat_conversion,[],[f130697]) ).
cnf(s9794,plain,
( spl2_249
| spl2_307
| ~ spl2_787 ),
inference(sat_conversion,[],[f130835]) ).
cnf(s9795,plain,
( spl2_278
| spl2_301
| ~ spl2_787 ),
inference(sat_conversion,[],[f130838]) ).
cnf(s9832,plain,
( spl2_193
| spl2_301
| spl2_448
| ~ spl2_484
| spl2_800 ),
inference(sat_conversion,[],[f131726]) ).
cnf(s9858,plain,
( ~ spl2_337
| ~ spl2_428
| ~ spl2_448
| spl2_767 ),
inference(sat_conversion,[],[f131997]) ).
cnf(s10206,plain,
( ~ spl2_175
| spl2_306
| spl2_307
| ~ spl2_586 ),
inference(sat_conversion,[],[f142168]) ).
cnf(s10208,plain,
( spl2_132
| ~ spl2_175
| spl2_269 ),
inference(sat_conversion,[],[f142173]) ).
cnf(s10209,plain,
( spl2_83
| spl2_94
| ~ spl2_175
| spl2_254 ),
inference(sat_conversion,[],[f142175]) ).
cnf(s10213,plain,
( spl2_149
| spl2_180
| ~ spl2_629 ),
inference(sat_conversion,[],[f142509]) ).
cnf(s10215,plain,
( spl2_249
| spl2_356
| spl2_588
| ~ spl2_629 ),
inference(sat_conversion,[],[f142521]) ).
cnf(s10232,plain,
( ~ spl2_120
| spl2_234
| spl2_244 ),
inference(sat_conversion,[],[f142825]) ).
cnf(s10234,plain,
( ~ spl2_120
| spl2_244
| ~ spl2_455
| spl2_471 ),
inference(sat_conversion,[],[f142834]) ).
cnf(s10238,plain,
( spl2_255
| spl2_476 ),
inference(rat,[],[s2621,s2741]) ).
cnf(s10240,plain,
( ~ spl2_38
| spl2_84
| ~ spl2_110
| ~ spl2_250
| ~ spl2_277
| spl2_300 ),
inference(rat,[],[s2339,s2741]) ).
cnf(s10246,plain,
( spl2_44
| spl2_93
| spl2_94
| spl2_110
| ~ spl2_154
| ~ spl2_178 ),
inference(rat,[],[s1952,s2741]) ).
cnf(s10250,plain,
( spl2_94
| spl2_119 ),
inference(rat,[],[s1627,s2741]) ).
cnf(s10251,plain,
( ~ spl2_29
| spl2_84
| spl2_110
| ~ spl2_143
| ~ spl2_346 ),
inference(rat,[],[s1611,s2741]) ).
cnf(s10253,plain,
( spl2_84
| ~ spl2_187
| spl2_255 ),
inference(rat,[],[s1605,s2741]) ).
cnf(s10256,plain,
( spl2_84
| spl2_208
| ~ spl2_222 ),
inference(rat,[],[s1475,s2741]) ).
cnf(s10257,plain,
( spl2_44
| spl2_84
| spl2_93
| ~ spl2_103
| ~ spl2_178 ),
inference(rat,[],[s1468,s2741]) ).
cnf(s10268,plain,
( spl2_140
| spl2_333 ),
inference(rat,[],[s1208,s2741]) ).
cnf(s10271,plain,
( spl2_84
| spl2_110
| ~ spl2_266 ),
inference(rat,[],[s1181,s2741]) ).
cnf(s10276,plain,
~ spl2_21,
inference(rat,[],[s947,s2741]) ).
cnf(s10279,plain,
( ~ spl2_19
| spl2_44
| spl2_84
| ~ spl2_178 ),
inference(rat,[],[s928,s10276]) ).
cnf(s10280,plain,
( ~ spl2_19
| spl2_84
| spl2_92 ),
inference(rat,[],[s917,s10276]) ).
cnf(s10286,plain,
( spl2_209
| spl2_301 ),
inference(rat,[],[s855,s10276]) ).
cnf(s10287,plain,
( ~ spl2_19
| spl2_26
| spl2_84
| ~ spl2_237 ),
inference(rat,[],[s852,s10276]) ).
cnf(s10288,plain,
( spl2_195
| spl2_204 ),
inference(rat,[],[s846,s2741]) ).
cnf(s10291,plain,
( spl2_84
| ~ spl2_98
| spl2_132
| ~ spl2_148 ),
inference(rat,[],[s809,s2741]) ).
cnf(s10296,plain,
( ~ spl2_6
| spl2_84
| ~ spl2_98 ),
inference(rat,[],[s800,s2741]) ).
cnf(s10299,plain,
( ~ spl2_19
| spl2_29
| spl2_150
| ~ spl2_192 ),
inference(rat,[],[s791,s2741]) ).
cnf(s10308,plain,
( ~ spl2_70
| ~ spl2_110
| spl2_132
| spl2_265 ),
inference(rat,[],[s533,s2741]) ).
cnf(s10309,plain,
( ~ spl2_70
| ~ spl2_84
| spl2_111
| spl2_132 ),
inference(rat,[],[s532,s2741]) ).
cnf(s10314,plain,
( ~ spl2_19
| spl2_47
| ~ spl2_94
| spl2_98
| ~ spl2_161 ),
inference(rat,[],[s505,s10276]) ).
cnf(s10321,plain,
( ~ spl2_47
| ~ spl2_105
| spl2_149
| ~ spl2_202
| ~ spl2_204 ),
inference(rat,[],[s398,s10276]) ).
cnf(s10329,plain,
( ~ spl2_4
| ~ spl2_17
| spl2_20
| spl2_239 ),
inference(rat,[],[s383,s10276]) ).
cnf(s10332,plain,
( ~ spl2_19
| spl2_139
| ~ spl2_161
| spl2_202 ),
inference(rat,[],[s352,s2741]) ).
cnf(s10333,plain,
( spl2_172
| spl2_173 ),
inference(rat,[],[s292,s2741]) ).
cnf(s10334,plain,
( spl2_170
| spl2_171 ),
inference(rat,[],[s291,s2741]) ).
cnf(s10335,plain,
( spl2_168
| spl2_169 ),
inference(rat,[],[s290,s2741]) ).
cnf(s10341,plain,
( ~ spl2_19
| spl2_84
| ~ spl2_110
| ~ spl2_161 ),
inference(rat,[],[s280,s10276]) ).
cnf(s10363,plain,
( spl2_94
| spl2_119 ),
inference(rat,[],[s156,s2741]) ).
cnf(s10376,plain,
( ~ spl2_4
| ~ spl2_20
| spl2_31
| spl2_102
| spl2_103 ),
inference(rat,[],[s123,s10276]) ).
cnf(s10381,plain,
( spl2_75
| spl2_84 ),
inference(rat,[],[s90,s2741]) ).
cnf(s10383,plain,
( spl2_25
| spl2_29 ),
inference(rat,[],[s33,s10276]) ).
cnf(s10384,plain,
( spl2_14
| spl2_20 ),
inference(rat,[],[s9,s10276]) ).
cnf(s10385,plain,
( ~ spl2_84
| ~ spl2_47
| ~ spl2_16
| ~ spl2_20
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s9732,s310,s6718,s9419]) ).
cnf(s10387,plain,
( ~ spl2_211
| spl2_123
| spl2_98
| ~ spl2_75
| spl2_212
| ~ spl2_47
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s1510,s1102,s3377,s155,s230,s2088,s2373,s2645,s7900,s5393,s583,s186]) ).
cnf(s10388,plain,
( ~ spl2_363
| ~ spl2_301
| ~ spl2_139
| spl2_132
| ~ spl2_16
| spl2_308
| ~ spl2_17 ),
inference(rat,[],[s4193,s6186,s4995,s4944,s9733,s2641,s9732,s2741]) ).
cnf(s10390,plain,
( ~ spl2_139
| ~ spl2_363
| ~ spl2_644
| spl2_132
| ~ spl2_16
| spl2_308
| ~ spl2_17 ),
inference(rat,[],[s10388,s4388]) ).
cnf(s10391,plain,
( spl2_139
| ~ spl2_549
| ~ spl2_110
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s4007,s805,s1207]) ).
cnf(s10393,plain,
( ~ spl2_139
| ~ spl2_363
| ~ spl2_644
| ~ spl2_132
| spl2_44
| ~ spl2_16
| ~ spl2_26
| ~ spl2_17 ),
inference(rat,[],[s6421,s1690,s6545,s9731,s4939,s2641,s4388]) ).
cnf(s10394,plain,
( ~ spl2_278
| ~ spl2_234
| spl2_139
| ~ spl2_132 ),
inference(rat,[],[s4930,s6387,s9117]) ).
cnf(s10395,plain,
( ~ spl2_363
| ~ spl2_644
| spl2_750
| ~ spl2_132
| spl2_44
| ~ spl2_16
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s926,s6565,s6803,s4010,s1690,s9731,s10394,s10232,s2373,s154,s3476,s4007,s5153,s5348,s5603,s805,s724,s10393,s10250,s5512,s5937,s1259]) ).
cnf(s10398,plain,
( ~ spl2_301
| ~ spl2_113
| ~ spl2_307
| ~ spl2_363
| ~ spl2_132 ),
inference(rat,[],[s2744,s6615,s4948,s4912,s5603,s2641,s8711,s330,s5759,s5512,s416,s7683,s7661,s2741]) ).
cnf(s10399,plain,
( ~ spl2_202
| ~ spl2_646
| ~ spl2_144
| ~ spl2_16 ),
inference(rat,[],[s9731,s4354,s5091]) ).
cnf(s10400,plain,
( spl2_278
| ~ spl2_139
| spl2_44
| ~ spl2_16
| ~ spl2_26
| ~ spl2_17 ),
inference(rat,[],[s6421,s1690,s6545,s9731]) ).
cnf(s10401,plain,
( ~ spl2_140
| ~ spl2_194
| ~ spl2_139
| spl2_211
| spl2_299
| spl2_44
| spl2_308
| ~ spl2_17 ),
inference(rat,[],[s9174,s4937,s6599,s7955,s9173,s1170,s7710,s3120,s9762,s1690,s330,s2078,s2741]) ).
cnf(s10402,plain,
( spl2_249
| ~ spl2_120
| spl2_471
| ~ spl2_139
| spl2_211
| spl2_299
| spl2_44
| ~ spl2_102
| ~ spl2_29
| spl2_308
| ~ spl2_26
| ~ spl2_17 ),
inference(rat,[],[s10234,s4937,s1683,s9174,s1676,s9173,s7752,s4193,s3676,s6186,s10268,s10401,s2078,s6580,s5329,s330,s2741]) ).
cnf(s10403,plain,
( ~ spl2_172
| spl2_250
| ~ spl2_333
| ~ spl2_139
| ~ spl2_203
| spl2_44
| ~ spl2_17 ),
inference(rat,[],[s2078,s7395,s2545,s1813,s7762]) ).
cnf(s10404,plain,
( ~ spl2_171
| ~ spl2_333
| ~ spl2_139
| ~ spl2_203
| spl2_44
| ~ spl2_309 ),
inference(rat,[],[s2078,s7395,s3989,s938,s2131]) ).
cnf(s10405,plain,
( ~ spl2_139
| ~ spl2_208
| ~ spl2_307
| spl2_130
| ~ spl2_363
| ~ spl2_132
| spl2_299
| spl2_93
| spl2_44
| spl2_202
| ~ spl2_75
| spl2_192
| ~ spl2_29
| ~ spl2_16
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_290 ),
inference(rat,[],[s8606,s1813,s1175,s2744,s2437,s4937,s9174,s10404,s10234,s1225,s10268,s1683,s1690,s1676,s4618,s9089,s926,s3786,s9114,s9118,s425,s7683,s10402,s230,s3476,s4007,s2641,s4939,s10400,s888,s1237,s7661,s330,s5759,s5512,s2741,s10276]) ).
cnf(s10406,plain,
( spl2_139
| spl2_130
| ~ spl2_391
| ~ spl2_132
| spl2_93
| spl2_44
| spl2_202
| ~ spl2_75
| ~ spl2_16
| ~ spl2_309
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4618,s1690,s9089,s9731,s9114,s926,s10394,s420,s3786,s10232,s2373,s230,s3476,s4007,s5603,s5153,s5348,s724,s1259,s10276]) ).
cnf(s10407,plain,
( ~ spl2_307
| ~ spl2_139
| spl2_130
| ~ spl2_363
| ~ spl2_132
| spl2_299
| spl2_93
| spl2_44
| spl2_202
| ~ spl2_75
| spl2_192
| ~ spl2_29
| ~ spl2_16
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_290 ),
inference(rat,[],[s496,s2094,s3989,s1142,s9118,s7683,s10402,s1906,s10405,s330,s5759,s7661,s888,s1237,s5512,s230,s3476,s4007,s2641,s4939,s10400]) ).
cnf(s10408,plain,
( spl2_194
| ~ spl2_173
| ~ spl2_195
| ~ spl2_140
| ~ spl2_203
| spl2_299
| ~ spl2_309
| ~ spl2_17 ),
inference(rat,[],[s4937,s8394,s9174,s428,s2792,s3989,s6580]) ).
cnf(s10409,plain,
( ~ spl2_140
| ~ spl2_208
| ~ spl2_203
| spl2_301
| ~ spl2_139
| spl2_130
| spl2_299
| spl2_44
| spl2_308
| ~ spl2_17
| ~ spl2_38 ),
inference(rat,[],[s926,s6803,s3786,s2645,s10401,s10408,s9173,s7710,s3120,s4010,s9762,s1690,s888,s2741]) ).
cnf(s10410,plain,
( spl2_140
| ~ spl2_203
| spl2_307
| ~ spl2_120
| ~ spl2_209
| spl2_471
| ~ spl2_139
| spl2_299
| spl2_44
| ~ spl2_102
| ~ spl2_29
| spl2_308
| ~ spl2_17
| ~ spl2_38 ),
inference(rat,[],[s420,s4085,s10403,s4441,s2744,s4937,s10234,s10232,s1683,s1676,s9174,s4193,s10404,s6186,s10268,s888,s2741]) ).
cnf(s10411,plain,
( ~ spl2_203
| spl2_307
| ~ spl2_120
| spl2_301
| spl2_471
| ~ spl2_139
| spl2_130
| spl2_299
| spl2_44
| ~ spl2_102
| ~ spl2_29
| spl2_308
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10408,s10401,s9173,s2978,s7710,s1906,s3120,s9762,s10409,s1690,s10410,s888,s7567,s2741,s10276]) ).
cnf(s10412,plain,
( ~ spl2_363
| ~ spl2_132
| spl2_299
| spl2_93
| spl2_44
| spl2_202
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_47
| ~ spl2_29
| ~ spl2_16
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_290
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s8301,s2743,s8606,s4937,s1225,s5383,s1683,s6130,s1676,s9173,s4618,s4441,s9089,s9114,s4085,s926,s572,s3786,s1906,s10387,s2978,s7917,s330,s10411,s10407,s230,s3476,s7567,s4007,s2641,s4939,s10400,s10406,s4903,s2017,s10395,s5512,s5937,s1259,s888,s1237,s1263,s7096,s2741,s10276]) ).
cnf(s10413,plain,
( ~ spl2_301
| ~ spl2_197
| spl2_140
| ~ spl2_278
| ~ spl2_139
| spl2_363
| ~ spl2_132
| spl2_44 ),
inference(rat,[],[s9089,s1926,s926,s6074,s6429,s9118,s6492,s4912,s1845,s8711,s10276]) ).
cnf(s10414,plain,
( ~ spl2_204
| ~ spl2_203
| spl2_208
| ~ spl2_278
| ~ spl2_139
| spl2_363
| ~ spl2_132
| spl2_299
| spl2_44
| spl2_202
| ~ spl2_75
| ~ spl2_144
| ~ spl2_102
| ~ spl2_29
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s1041,s9218,s4986,s2744,s10402,s4937,s2978,s10234,s1906,s230,s3476,s4007,s10413,s9174,s10404,s8539,s10268,s1683,s1690,s1676,s888,s4939,s6082,s2741]) ).
cnf(s10415,plain,
( ~ spl2_203
| spl2_208
| ~ spl2_278
| ~ spl2_139
| spl2_363
| ~ spl2_132
| spl2_299
| spl2_44
| spl2_202
| ~ spl2_75
| ~ spl2_144
| ~ spl2_102
| ~ spl2_29
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s1845,s4007,s749,s3476,s8725,s230,s2743,s1906,s4937,s496,s6599,s2094,s10408,s9173,s6186,s7710,s4193,s3120,s9762,s10414,s888,s1263,s2741]) ).
cnf(s10416,plain,
( ~ spl2_307
| ~ spl2_278
| ~ spl2_139
| spl2_363
| ~ spl2_132
| spl2_299
| spl2_44
| spl2_202
| ~ spl2_75
| ~ spl2_144
| ~ spl2_102
| ~ spl2_29
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10413,s8539,s1690,s4193,s859,s1845,s4007,s3476,s230,s1906,s186,s2978,s5767,s330,s10415,s2448,s2741]) ).
cnf(s10417,plain,
( ~ spl2_204
| spl2_307
| ~ spl2_278
| ~ spl2_139
| spl2_363
| ~ spl2_132
| spl2_299
| spl2_44
| spl2_202
| ~ spl2_75
| spl2_192
| ~ spl2_29
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4937,s9173,s9174,s9223,s8301,s8606,s1041,s2978,s7917,s330,s10411,s10234,s230,s4903,s3476,s4388,s4007,s10413,s1225,s8539,s1683,s1690,s1676,s72,s5038,s1699,s1259,s1029,s1237,s996,s1263,s4939]) ).
cnf(s10418,plain,
( ~ spl2_301
| ~ spl2_226
| ~ spl2_278
| spl2_363
| ~ spl2_132 ),
inference(rat,[],[s9118,s859,s4912,s1845,s8711]) ).
cnf(s10419,plain,
( ~ spl2_139
| spl2_363
| ~ spl2_132
| spl2_299
| spl2_44
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| ~ spl2_16
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s926,s6803,s3786,s10387,s330,s10411,s230,s4903,s3476,s4010,s4388,s4007,s10418,s4193,s10417,s5251,s10416,s4939,s10400,s72,s888,s5038,s1699,s1259,s1237,s996,s10399,s4105,s2025,s1029,s2741]) ).
cnf(s10420,plain,
( ~ spl2_203
| ~ spl2_98
| ~ spl2_301
| spl2_196
| ~ spl2_405
| spl2_208
| ~ spl2_307
| spl2_299
| ~ spl2_141
| ~ spl2_102
| ~ spl2_29
| ~ spl2_309
| ~ spl2_104 ),
inference(rat,[],[s6966,s2540,s10250,s9174,s4633,s8301,s496,s2080,s2094,s3989,s912,s1142]) ).
cnf(s10421,plain,
( spl2_203
| spl2_221
| ~ spl2_335
| ~ spl2_250
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s3671,s2744,s2978,s1165,s330,s2741]) ).
cnf(s10422,plain,
( ~ spl2_204
| ~ spl2_203
| spl2_208
| ~ spl2_307
| spl2_244
| spl2_139
| ~ spl2_132
| spl2_299
| spl2_44
| spl2_202
| ~ spl2_75
| ~ spl2_29
| spl2_15
| spl2_308
| ~ spl2_104
| ~ spl2_290
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s10420,s186,s4007,s10391,s3476,s230,s8551,s10232,s9101,s10394,s8546,s1690,s8744,s888,s1237,s1263,s10276,s2741]) ).
cnf(s10424,plain,
( spl2_169
| ~ spl2_644
| ~ spl2_118
| spl2_299
| ~ spl2_47
| ~ spl2_149 ),
inference(rat,[],[s656,s3619,s1911,s9064,s2761,s4390]) ).
cnf(s10425,plain,
( ~ spl2_191
| spl2_179
| spl2_182
| spl2_44
| ~ spl2_309
| ~ spl2_17 ),
inference(rat,[],[s4715,s528,s3116]) ).
cnf(s10426,plain,
( ~ spl2_301
| spl2_208
| ~ spl2_335
| spl2_139
| spl2_363
| spl2_299
| spl2_93
| spl2_44
| ~ spl2_75
| ~ spl2_47
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s9513,s4900,s8870,s445,s3760,s10425,s5350,s2527,s1347,s8646,s10424,s4295,s4215,s9722,s926,s9089,s1164,s2078,s3989,s230,s912,s1142,s10232,s186,s1845,s1207,s72,s888,s5038,s1699,s1259,s5153,s10421,s6082,s724,s10276]) ).
cnf(s10427,plain,
( ~ spl2_307
| ~ spl2_335
| spl2_139
| spl2_363
| ~ spl2_132
| spl2_299
| spl2_93
| spl2_44
| ~ spl2_75
| ~ spl2_29
| spl2_15
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s926,s6565,s6803,s2373,s230,s3476,s4010,s4007,s10426,s10422,s10421,s6082,s2448,s996,s5038,s1699,s10399,s4105,s2025,s1029,s7,s72,s1259,s5348,s5153,s724]) ).
cnf(s10428,plain,
( ~ spl2_306
| spl2_121
| spl2_307 ),
inference(rat,[],[s5242,s1102]) ).
cnf(s10429,plain,
( ~ spl2_206
| ~ spl2_47
| ~ spl2_26
| ~ spl2_17
| ~ spl2_20
| ~ spl2_149 ),
inference(rat,[],[s7917,s6580,s5329,s3325,s4986,s2025]) ).
cnf(s10430,plain,
( spl2_234
| spl2_307
| spl2_244
| spl2_206
| ~ spl2_75
| spl2_212 ),
inference(rat,[],[s1508,s3377,s10428,s230,s155,s10232,s5186,s5251]) ).
cnf(s10431,plain,
( spl2_139
| ~ spl2_132
| spl2_363
| spl2_44
| spl2_206
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| spl2_15
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s926,s6565,s9089,s4010,s4618,s1690,s9114,s9731,s420,s421,s10394,s1845,s10430,s10427,s5118,s1225,s9154,s5153,s724,s7,s72,s1259,s10276]) ).
cnf(s10432,plain,
( ~ spl2_132
| spl2_363
| spl2_44
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| spl2_15
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1690,s8539,s4193,s1518,s1538,s10419,s10431,s2010,s5038,s1699,s7,s10429,s1029,s72,s1259,s2741]) ).
cnf(s10433,plain,
( spl2_363
| spl2_44
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| spl2_15
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2078,s6580,s3416,s469,s2448,s4389,s330,s10387,s2017,s4776,s186,s78,s4811,s6565,s6429,s9722,s926,s4929,s9732,s10432,s5038,s1699,s7,s72,s1259,s1029,s10276]) ).
cnf(s10434,plain,
( spl2_139
| spl2_130
| ~ spl2_391
| ~ spl2_132
| spl2_44
| spl2_202
| ~ spl2_75
| ~ spl2_29
| ~ spl2_16
| ~ spl2_309
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s9154,s5118,s5153,s10406,s724]) ).
cnf(s10435,plain,
( ~ spl2_299
| ~ spl2_139
| spl2_44
| spl2_15
| spl2_308
| ~ spl2_17 ),
inference(rat,[],[s1690,s8539,s4193,s1518,s1538,s2010,s2741]) ).
cnf(s10436,plain,
( ~ spl2_132
| ~ spl2_363
| spl2_44
| spl2_202
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_47
| ~ spl2_29
| spl2_15
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_290
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10412,s5118,s10435,s10434,s4903,s10395,s5512,s7096,s888,s7]) ).
cnf(s10437,plain,
( spl2_44
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| spl2_15
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2373,s230,s5348,s3476,s724,s10391,s10390,s186,s4811,s6565,s9722,s926,s4929,s9732,s10436,s10433,s996,s5038,s1699,s10399,s4105,s2025,s1029,s7,s72,s1259,s10276]) ).
cnf(s10438,plain,
( ~ spl2_191
| spl2_249
| spl2_182
| ~ spl2_543
| spl2_93
| ~ spl2_309 ),
inference(rat,[],[s8868,s5755,s8952,s3116]) ).
cnf(s10439,plain,
( ~ spl2_98
| spl2_225
| ~ spl2_307
| ~ spl2_335
| spl2_139
| spl2_363
| ~ spl2_44
| spl2_206
| ~ spl2_141
| ~ spl2_75
| ~ spl2_47
| ~ spl2_29
| spl2_15
| spl2_308
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s9513,s4900,s8870,s445,s3760,s10438,s5330,s9117,s8546,s6599,s2527,s1347,s4937,s8646,s9174,s10424,s4295,s8301,s230,s9721,s8606,s1906,s3088,s3219,s3748,s3989,s1142,s888,s5118,s10421,s9173,s9218,s6082,s2448,s1041,s9154,s5153,s724,s2741,s10276]) ).
cnf(s10440,plain,
( spl2_98
| spl2_139
| ~ spl2_75
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s3476,s230,s10391,s2373,s186,s5348,s724]) ).
cnf(s10441,plain,
( ~ spl2_307
| ~ spl2_335
| spl2_139
| ~ spl2_132
| spl2_363
| ~ spl2_44
| spl2_206
| ~ spl2_141
| ~ spl2_75
| ~ spl2_47
| ~ spl2_29
| spl2_15
| spl2_308
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10439,s7661,s10440,s1259]) ).
cnf(s10442,plain,
( ~ spl2_203
| ~ spl2_120
| ~ spl2_140
| spl2_278
| ~ spl2_234
| spl2_307
| ~ spl2_98
| spl2_299
| ~ spl2_44
| ~ spl2_29
| spl2_308
| ~ spl2_17 ),
inference(rat,[],[s1906,s3218,s3219,s10408,s9173,s8198,s3120,s9762,s2590,s3786,s4903,s4389,s888,s2741]) ).
cnf(s10443,plain,
( spl2_139
| ~ spl2_132
| spl2_363
| ~ spl2_44
| spl2_206
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| spl2_15
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2743,s1314,s5758,s10421,s330,s10442,s230,s3476,s9731,s4007,s10394,s1845,s10430,s10441,s10440,s1225,s9154,s5153,s724,s5038,s1699,s1263,s10399,s4105,s2025,s1029,s7,s72,s1259,s2741]) ).
cnf(s10444,plain,
( ~ spl2_203
| ~ spl2_98
| spl2_299
| ~ spl2_307
| ~ spl2_139
| spl2_363
| ~ spl2_44
| ~ spl2_141
| ~ spl2_29
| spl2_308
| ~ spl2_104
| ~ spl2_290 ),
inference(rat,[],[s8744,s10420,s4193,s8551,s859,s9101,s1845,s4388,s4295,s9721,s3088,s3989,s888,s1237,s1142,s2448,s2741,s10276]) ).
cnf(s10445,plain,
( ~ spl2_191
| spl2_182
| spl2_278
| ~ spl2_204
| spl2_93
| ~ spl2_44
| ~ spl2_309 ),
inference(rat,[],[s5262,s8870,s3116,s9362]) ).
cnf(s10446,plain,
( ~ spl2_98
| spl2_299
| ~ spl2_307
| ~ spl2_139
| spl2_363
| ~ spl2_44
| spl2_206
| spl2_202
| ~ spl2_75
| ~ spl2_29
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s8962,s656,s8868,s3619,s6627,s9064,s10445,s6898,s1347,s10238,s8646,s10424,s5383,s4295,s6130,s4937,s9721,s9173,s4995,s9174,s9223,s4193,s8725,s8551,s859,s749,s9101,s1845,s4007,s3476,s230,s1906,s2978,s330,s10444,s996,s888,s5038,s1699,s1259,s1029,s1263,s1041,s2448,s5118,s10276,s2741]) ).
cnf(s10447,plain,
( spl2_299
| ~ spl2_307
| ~ spl2_139
| ~ spl2_132
| spl2_363
| ~ spl2_44
| spl2_202
| ~ spl2_75
| spl2_192
| ~ spl2_29
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2457,s9173,s6421,s3830,s6492,s9101,s1509,s3377,s6429,s230,s2096,s4633,s1906,s2113,s3088,s3219,s155,s6580,s10250,s2017,s5329,s5767,s4776,s7683,s186,s583,s9118,s10446,s10429,s1029,s72,s1259,s7661,s2088,s2448,s10276]) ).
cnf(s10448,plain,
( ~ spl2_299
| ~ spl2_139
| ~ spl2_44
| ~ spl2_29
| spl2_15
| spl2_308 ),
inference(rat,[],[s4193,s5078,s1538,s9154,s2741]) ).
cnf(s10449,plain,
( ~ spl2_194
| ~ spl2_120
| ~ spl2_92
| ~ spl2_44
| ~ spl2_29 ),
inference(rat,[],[s1906,s3218,s3219]) ).
cnf(s10450,plain,
( ~ spl2_169
| ~ spl2_393
| ~ spl2_346
| spl2_130
| ~ spl2_278
| ~ spl2_197
| ~ spl2_98
| spl2_299
| ~ spl2_132
| spl2_363 ),
inference(rat,[],[s1942,s8870,s6482,s5012,s9518,s307,s8646,s1968,s5118]) ).
cnf(s10451,plain,
( spl2_204
| ~ spl2_98
| spl2_307
| spl2_299
| ~ spl2_139
| ~ spl2_132
| spl2_363
| ~ spl2_44
| spl2_202
| ~ spl2_75
| ~ spl2_29
| spl2_308
| spl2_31
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s6627,s8868,s6756,s9032,s6675,s8081,s8869,s8844,s8870,s2761,s7543,s10450,s4085,s2456,s572,s1906,s2978,s330,s2743,s10408,s4937,s9173,s5760,s10449,s9721,s230,s6429,s4295,s4903,s3476,s2848,s6550,s4388,s7567,s4007,s4939,s1845,s6545,s859,s6186,s6421,s4193,s8217,s3120,s120,s888,s5118,s2741,s10276]) ).
cnf(s10452,plain,
( ~ spl2_98
| spl2_307
| spl2_299
| ~ spl2_139
| ~ spl2_132
| spl2_363
| ~ spl2_44
| spl2_206
| spl2_202
| ~ spl2_75
| spl2_212
| ~ spl2_29
| spl2_308
| spl2_31
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4903,s3786,s4388,s2590,s1845,s10430,s5078,s10451,s888]) ).
cnf(s10453,plain,
( spl2_204
| spl2_211
| spl2_98
| spl2_299
| ~ spl2_139
| ~ spl2_132
| spl2_363
| ~ spl2_44
| spl2_206
| spl2_202
| ~ spl2_75
| ~ spl2_102
| ~ spl2_29
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s8871,s8961,s6538,s525,s3116,s1588,s6715,s8844,s1476,s1735,s1222,s2115,s1991,s1170,s8606,s2650,s8725,s7955,s1314,s938,s2373,s2743,s1751,s230,s4937,s2101,s3476,s6599,s3219,s4010,s4007,s10408,s10418,s9173,s6545,s6186,s7710,s6421,s4193,s3120,s9762,s888,s1263,s1041,s5118,s330,s2741]) ).
cnf(s10454,plain,
( spl2_208
| ~ spl2_319
| ~ spl2_120
| ~ spl2_44
| ~ spl2_29 ),
inference(rat,[],[s3219,s3427,s1906]) ).
cnf(s10455,plain,
( ~ spl2_194
| ~ spl2_335
| ~ spl2_204
| ~ spl2_44
| spl2_206
| ~ spl2_141
| ~ spl2_29 ),
inference(rat,[],[s8301,s2743,s8606,s3220,s3219,s2741]) ).
cnf(s10456,plain,
( ~ spl2_173
| ~ spl2_170
| ~ spl2_208
| ~ spl2_234 ),
inference(rat,[],[s4937,s6797]) ).
cnf(s10457,plain,
( ~ spl2_132
| spl2_363
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| spl2_15
| spl2_31
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5262,s3116,s8870,s9042,s5851,s8871,s2326,s4394,s8606,s7762,s1813,s2744,s10456,s8868,s9174,s4151,s2131,s428,s3989,s10455,s10454,s2367,s2115,s2650,s2373,s230,s3377,s6429,s1509,s2102,s2590,s421,s10430,s1225,s5078,s10453,s330,s10387,s583,s10452,s5251,s10447,s5118,s10448,s10443,s888,s5038,s1699,s1237,s996,s1263,s10399,s4105,s2025,s7,s10429,s1029,s72,s1259,s10437,s2741,s10276]) ).
cnf(s10458,plain,
( ~ spl2_307
| ~ spl2_346
| ~ spl2_335
| ~ spl2_98
| ~ spl2_250
| spl2_363
| ~ spl2_75
| ~ spl2_309
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s3989,s10421,s1142,s6082,s3088,s2448]) ).
cnf(s10459,plain,
( spl2_208
| spl2_194
| ~ spl2_335
| ~ spl2_98
| ~ spl2_250
| ~ spl2_75
| ~ spl2_309
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s3989,s10421,s1142,s6082]) ).
cnf(s10460,plain,
( ~ spl2_191
| ~ spl2_246
| ~ spl2_198
| ~ spl2_216
| ~ spl2_203
| ~ spl2_346
| spl2_299
| spl2_93
| spl2_132
| ~ spl2_29
| ~ spl2_309 ),
inference(rat,[],[s1968,s3116,s4809,s9042,s8871,s2326,s4394,s8868,s4151]) ).
cnf(s10461,plain,
( ~ spl2_203
| spl2_204
| ~ spl2_208
| spl2_194
| ~ spl2_234
| ~ spl2_346
| ~ spl2_335
| spl2_93
| ~ spl2_250
| spl2_132
| ~ spl2_201
| ~ spl2_141
| ~ spl2_29
| ~ spl2_309
| ~ spl2_100
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s7815,s8869,s4900,s5193,s445,s10460,s8606,s1059,s9221,s2744,s10456,s9174,s428,s320,s3989,s9154,s5153,s1122,s2741]) ).
cnf(s10462,plain,
( spl2_203
| ~ spl2_335
| spl2_139
| ~ spl2_141
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s2743,s1314,s5758,s10421,s330,s724,s2741]) ).
cnf(s10463,plain,
( spl2_139
| spl2_78
| spl2_132
| spl2_363
| ~ spl2_44
| spl2_206
| spl2_202
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| ~ spl2_309
| ~ spl2_100
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10461,s2590,s10462,s10459,s10449,s230,s3476,s4007,s1845,s10430,s10458,s2096,s1225,s6565,s829,s5153,s10440,s724,s1259,s1263,s1041]) ).
cnf(s10464,plain,
( ~ spl2_191
| spl2_356
| spl2_455
| ~ spl2_226
| ~ spl2_346
| spl2_299
| ~ spl2_139
| spl2_132
| ~ spl2_309 ),
inference(rat,[],[s1968,s3116,s4809,s1588,s8844,s1476]) ).
cnf(s10465,plain,
( spl2_204
| ~ spl2_98
| spl2_299
| ~ spl2_139
| spl2_78
| spl2_132
| spl2_363
| ~ spl2_44
| ~ spl2_201
| spl2_202
| ~ spl2_75
| spl2_192
| ~ spl2_29
| ~ spl2_100
| spl2_308
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8961,s8871,s4900,s6618,s445,s10464,s1314,s2743,s10408,s4937,s9173,s5760,s10449,s230,s3377,s4011,s1751,s1845,s6601,s2101,s859,s6186,s6421,s4193,s3120,s888,s1263,s5118,s2096,s6565,s2741]) ).
cnf(s10466,plain,
( ~ spl2_98
| spl2_299
| spl2_78
| spl2_132
| spl2_363
| ~ spl2_44
| spl2_206
| spl2_202
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| ~ spl2_100
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10430,s707,s5078,s10465,s10446,s1041,s10463,s888,s5038,s1699,s72,s1259]) ).
cnf(s10467,plain,
( spl2_204
| spl2_211
| ~ spl2_115
| spl2_299
| ~ spl2_139
| spl2_132
| spl2_363
| ~ spl2_44
| spl2_202
| ~ spl2_75
| spl2_192
| ~ spl2_29
| spl2_308
| ~ spl2_26
| ~ spl2_17 ),
inference(rat,[],[s10449,s9722,s230,s4811,s3377,s4389,s1509,s7255,s749,s1170,s8725,s7955,s2743,s4937,s6599,s3219,s6403,s10408,s9173,s2101,s6545,s6186,s7710,s6421,s4193,s3120,s9762,s888,s1263,s4929,s330,s10276,s2741]) ).
cnf(s10468,plain,
( spl2_208
| ~ spl2_217
| spl2_244
| ~ spl2_204
| spl2_123
| spl2_232
| ~ spl2_44
| spl2_202
| ~ spl2_75
| spl2_192 ),
inference(rat,[],[s3377,s4011,s230,s4995,s2374,s2096,s2113,s6429,s155,s469,s2088,s10276]) ).
cnf(s10469,plain,
( spl2_363
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| spl2_15
| spl2_31
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s9722,s2590,s4811,s10430,s4389,s2448,s10468,s5704,s10455,s1225,s5078,s10467,s330,s10387,s2017,s4776,s7178,s186,s583,s10466,s10448,s10463,s4929,s9732,s10457,s120,s888,s5038,s1699,s1263,s10399,s4105,s2025,s7,s10429,s1029,s72,s1259,s10437,s10276]) ).
cnf(s10470,plain,
( spl2_204
| ~ spl2_140
| spl2_278
| ~ spl2_120
| spl2_301
| ~ spl2_203
| spl2_299
| ~ spl2_98
| ~ spl2_44
| ~ spl2_29
| spl2_308
| ~ spl2_17 ),
inference(rat,[],[s10408,s10449,s9173,s6565,s8198,s4010,s3120,s9762,s888,s2741]) ).
cnf(s10471,plain,
( ~ spl2_132
| ~ spl2_203
| spl2_244
| ~ spl2_98
| spl2_139
| ~ spl2_363
| ~ spl2_44
| spl2_202
| ~ spl2_75
| ~ spl2_29
| ~ spl2_16
| spl2_308
| ~ spl2_17 ),
inference(rat,[],[s851,s3786,s2394,s2374,s10470,s9111,s9731,s10394,s10232,s230,s3476,s4007,s5603,s5512,s888,s724,s9154]) ).
cnf(s10472,plain,
( ~ spl2_194
| ~ spl2_119
| ~ spl2_92
| ~ spl2_203
| ~ spl2_98
| ~ spl2_44
| ~ spl2_29 ),
inference(rat,[],[s912,s4633,s3218,s3219]) ).
cnf(s10473,plain,
( spl2_204
| ~ spl2_208
| spl2_194
| ~ spl2_346
| spl2_132
| ~ spl2_203
| ~ spl2_335
| spl2_93
| ~ spl2_250
| ~ spl2_363
| spl2_206
| spl2_202
| ~ spl2_75
| spl2_212
| ~ spl2_29
| ~ spl2_309
| ~ spl2_100
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s7815,s8869,s4900,s5193,s445,s10460,s8606,s9221,s2744,s4948,s2641,s4007,s3476,s230,s10430,s10232,s749,s10461,s1263,s1041,s9154,s5153,s1122,s428,s3989,s2741]) ).
cnf(s10474,plain,
( spl2_139
| ~ spl2_363
| ~ spl2_44
| spl2_206
| spl2_202
| ~ spl2_75
| spl2_212
| spl2_192
| ~ spl2_29
| ~ spl2_16
| ~ spl2_100
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s3476,s4007,s230,s4995,s2374,s10473,s10459,s10472,s10250,s4932,s6565,s9733,s4929,s10471,s10462,s1225,s829,s5153,s10440,s724,s1259,s888,s1263]) ).
cnf(s10475,plain,
( ~ spl2_191
| ~ spl2_277
| ~ spl2_325
| spl2_356
| ~ spl2_209
| spl2_455
| ~ spl2_226
| ~ spl2_98
| spl2_93
| ~ spl2_139
| spl2_186
| ~ spl2_309
| ~ spl2_104 ),
inference(rat,[],[s1890,s9496,s3116,s6675,s1588,s8869,s8844,s1476]) ).
cnf(s10476,plain,
( spl2_204
| ~ spl2_98
| ~ spl2_132
| spl2_299
| ~ spl2_139
| ~ spl2_363
| ~ spl2_44
| ~ spl2_201
| spl2_202
| ~ spl2_75
| spl2_186
| ~ spl2_29
| ~ spl2_100
| spl2_308
| ~ spl2_104
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8961,s8871,s4900,s6618,s445,s10475,s1570,s8725,s1314,s2978,s2743,s330,s4937,s10408,s9173,s5760,s1600,s10449,s1751,s1343,s230,s2101,s6565,s6803,s3476,s4010,s7567,s4007,s2848,s2641,s4939,s6545,s859,s6186,s6421,s4193,s3120,s888,s1263,s5118,s2741,s10276]) ).
cnf(s10477,plain,
( ~ spl2_98
| ~ spl2_119
| ~ spl2_132
| spl2_299
| ~ spl2_139
| ~ spl2_363
| ~ spl2_44
| ~ spl2_201
| spl2_202
| ~ spl2_75
| spl2_186
| ~ spl2_29
| ~ spl2_100
| spl2_308
| ~ spl2_104
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4995,s2642,s4388,s851,s4295,s3786,s9722,s2590,s6074,s5093,s5078,s10476,s888,s10276]) ).
cnf(s10478,plain,
( spl2_204
| spl2_211
| spl2_98
| ~ spl2_132
| spl2_299
| ~ spl2_139
| ~ spl2_363
| ~ spl2_44
| spl2_206
| spl2_202
| ~ spl2_75
| ~ spl2_102
| ~ spl2_29
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s8871,s8961,s6538,s525,s3116,s1588,s8844,s6715,s1476,s2115,s1735,s1222,s2650,s1991,s1170,s8606,s2373,s8725,s7955,s1314,s938,s1751,s230,s2743,s2101,s3476,s4937,s4010,s4007,s6599,s3219,s2641,s10408,s4939,s9173,s6545,s6186,s7710,s6421,s4193,s3120,s9762,s888,s1263,s1041,s5118,s330,s2741]) ).
cnf(s10479,plain,
( ~ spl2_118
| ~ spl2_198
| ~ spl2_204
| ~ spl2_113
| ~ spl2_132
| ~ spl2_363
| spl2_206
| spl2_202
| spl2_212 ),
inference(rat,[],[s1097,s1508,s2642,s10398,s4995,s4007,s3377,s3476]) ).
cnf(s10480,plain,
( ~ spl2_132
| spl2_299
| ~ spl2_139
| ~ spl2_363
| ~ spl2_44
| spl2_206
| spl2_202
| ~ spl2_75
| spl2_212
| spl2_186
| spl2_192
| ~ spl2_102
| ~ spl2_47
| ~ spl2_29
| ~ spl2_100
| ~ spl2_104
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5262,s3116,s8870,s9042,s5851,s8871,s2326,s4394,s8606,s8868,s7762,s1813,s4151,s2744,s2115,s10456,s2650,s5348,s10232,s2373,s230,s10479,s9174,s2131,s428,s10468,s3989,s5704,s10455,s1225,s5078,s10478,s330,s10387,s583,s9118,s10477,s10250,s2017,s5937,s7096,s1259,s888,s5038,s1263,s1041,s5118,s2741]) ).
cnf(s10481,plain,
( ~ spl2_98
| spl2_194
| ~ spl2_92
| ~ spl2_226
| ~ spl2_346
| spl2_78
| spl2_132
| spl2_299
| ~ spl2_139
| ~ spl2_44
| ~ spl2_201
| ~ spl2_141
| ~ spl2_309
| ~ spl2_100
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8961,s8871,s4900,s6618,s1314,s445,s2743,s10464,s4937,s10408,s1751,s9173,s2101,s5760,s6421,s3120,s6601,s707,s859,s5118,s6186,s2741]) ).
cnf(s10482,plain,
( ~ spl2_29
| spl2_15
| spl2_31
| ~ spl2_26
| ~ spl2_20
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s9174,s4937,s8394,s2131,s428,s9173,s3989,s7710,s330,s10387,s10481,s10449,s230,s6186,s3476,s9722,s5131,s9760,s3702,s4007,s4811,s10388,s10390,s9733,s4929,s10480,s5118,s10448,s10474,s10469,s10437,s1041,s10429,s1263,s10399,s91,s10385,s362,s678,s779,s4105,s2025,s5653,s1237,s1029,s996,s120,s888,s5038,s1699,s7,s72,s1259,s10276]) ).
cnf(s10483,plain,
( ~ spl2_47
| spl2_234
| spl2_363
| ~ spl2_203
| spl2_244
| ~ spl2_98
| spl2_212
| ~ spl2_75
| spl2_44
| ~ spl2_19
| ~ spl2_16
| ~ spl2_26
| ~ spl2_17
| ~ spl2_20
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s912,s1164,s2448,s9089,s10430,s1501,s10279,s10429,s10385,s271,s10276]) ).
cnf(s10484,plain,
( spl2_206
| ~ spl2_312
| spl2_234
| ~ spl2_333
| spl2_197
| spl2_244
| spl2_212
| ~ spl2_75
| spl2_44
| ~ spl2_145 ),
inference(rat,[],[s2743,s3355,s2540,s10430,s1501,s1498,s2741]) ).
cnf(s10485,plain,
( ~ spl2_206
| spl2_47
| ~ spl2_203
| ~ spl2_25
| ~ spl2_104
| ~ spl2_17 ),
inference(rat,[],[s5704,s468,s2080,s2519]) ).
cnf(s10486,plain,
( spl2_78
| ~ spl2_98
| spl2_44
| ~ spl2_17 ),
inference(rat,[],[s926,s6565,s6803]) ).
cnf(s10487,plain,
( spl2_139
| spl2_192
| spl2_212
| ~ spl2_75
| spl2_44
| ~ spl2_19
| spl2_29
| ~ spl2_16
| ~ spl2_26
| ~ spl2_20
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10485,s10484,s10483,s5512,s6966,s4007,s3476,s230,s10232,s10394,s1857,s4929,s9300,s10486,s10462,s10268,s8744,s2031,s1225,s9787,s1503,s1496,s1263,s5153,s10440,s805,s724,s996,s72,s1699,s1259,s10383,s271,s43,s2741]) ).
cnf(s10488,plain,
( spl2_206
| spl2_455
| spl2_202
| spl2_44
| ~ spl2_145 ),
inference(rat,[],[s4937,s2744,s2743,s9223,s8301,s7395,s1501,s1041,s1263,s10268,s1503,s2741]) ).
cnf(s10489,plain,
( ~ spl2_206
| ~ spl2_25
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s10485,s10429,s1270,s72,s1699]) ).
cnf(s10490,plain,
( ~ spl2_75
| spl2_139
| spl2_44
| ~ spl2_19
| spl2_29
| ~ spl2_16
| ~ spl2_26
| ~ spl2_20
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s6718,s9419,s4929,s755,s10486,s10487,s10440,s72,s358,s2743,s3355,s2031,s5153,s724,s2744,s9223,s7395,s10268,s1503,s1501,s271,s805,s1041,s10489,s10383,s1259,s2741]) ).
cnf(s10491,plain,
( ~ spl2_84
| spl2_44
| ~ spl2_26
| ~ spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s4929,s10486,s6718,s161,s9419]) ).
cnf(s10492,plain,
( spl2_202
| ~ spl2_98
| spl2_471
| ~ spl2_117
| ~ spl2_139
| spl2_44
| ~ spl2_145
| spl2_206 ),
inference(rat,[],[s6074,s2848,s1926,s10488,s1503]) ).
cnf(s10493,plain,
( ~ spl2_202
| ~ spl2_278
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s7066,s2773]) ).
cnf(s10494,plain,
( spl2_44
| ~ spl2_19
| spl2_29
| ~ spl2_16
| ~ spl2_26
| ~ spl2_20
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5384,s6722,s5383,s8539,s10488,s1503,s10493,s10400,s10490,s91,s10491,s72,s10489,s10383,s1259,s271]) ).
cnf(s10495,plain,
( spl2_139
| ~ spl2_44
| ~ spl2_194
| ~ spl2_145
| ~ spl2_201
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s1314,s9218,s2743,s2744,s3220,s2457,s1496,s1263,s5153,s805,s724,s1259,s2741]) ).
cnf(s10496,plain,
( ~ spl2_92
| ~ spl2_196
| ~ spl2_204
| ~ spl2_44
| ~ spl2_194 ),
inference(rat,[],[s9101,s8551,s2590,s3218,s10276]) ).
cnf(s10497,plain,
( spl2_92
| ~ spl2_147
| ~ spl2_26
| ~ spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s6565,s4929,s161,s6718,s9419,s3465,s2741]) ).
cnf(s10498,plain,
( spl2_202
| ~ spl2_92
| ~ spl2_44
| ~ spl2_145
| spl2_206 ),
inference(rat,[],[s8301,s2743,s10496,s3220,s1496,s1263,s1498,s2741]) ).
cnf(s10499,plain,
( ~ spl2_19
| spl2_29
| ~ spl2_16
| ~ spl2_26
| ~ spl2_20
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s6545,s6421,s10493,s402,s10498,s10497,s10495,s10494,s1498,s271,s272,s72,s1699,s1041,s10489,s10383,s1259]) ).
cnf(s10500,plain,
( spl2_139
| ~ spl2_141
| ~ spl2_75
| spl2_44
| ~ spl2_18
| spl2_206
| ~ spl2_25
| spl2_308
| ~ spl2_26
| ~ spl2_17
| spl2_10
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4937,s6599,s2743,s2744,s8301,s9218,s8551,s10459,s6082,s2448,s10430,s362,s7347,s5220,s859,s9101,s1845,s5512,s1857,s4021,s4929,s9300,s711,s9734,s1222,s10486,s5153,s10440,s724,s1259,s888,s1041,s2741,s10276]) ).
cnf(s10501,plain,
( spl2_204
| spl2_363
| ~ spl2_132
| ~ spl2_78
| ~ spl2_278
| ~ spl2_139
| spl2_308 ),
inference(rat,[],[s10418,s4021,s4193,s2741,s10276]) ).
cnf(s10502,plain,
( spl2_196
| spl2_455
| spl2_202
| spl2_206 ),
inference(rat,[],[s4937,s2744,s2743,s9223,s8301,s1041,s1263,s2741]) ).
cnf(s10503,plain,
( ~ spl2_98
| ~ spl2_278
| ~ spl2_139
| spl2_202
| spl2_44
| ~ spl2_18
| spl2_206
| ~ spl2_25
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s2743,s8298,s4937,s2456,s2744,s435,s1122,s2078,s7395,s10502,s1926,s9089,s926,s3786,s4903,s4388,s7567,s5383,s10413,s8890,s5384,s8539,s10268,s711,s1690,s10501,s5512,s6645,s1857,s4929,s9300,s10486,s888,s2741,s10276]) ).
cnf(s10504,plain,
( spl2_204
| ~ spl2_132
| ~ spl2_77
| spl2_98
| spl2_299
| ~ spl2_278
| ~ spl2_139
| spl2_202
| ~ spl2_75
| spl2_44
| spl2_308
| ~ spl2_17
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s2744,s10408,s2162,s10401,s330,s5393,s2373,s230,s3476,s4007,s8697,s9104,s6387,s9084,s6492,s6186,s1963,s6421,s10288,s4193,s888,s2741]) ).
cnf(s10505,plain,
( ~ spl2_132
| ~ spl2_77
| spl2_98
| spl2_299
| ~ spl2_278
| ~ spl2_139
| spl2_202
| ~ spl2_75
| spl2_44
| ~ spl2_18
| spl2_206
| spl2_308
| ~ spl2_17
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s10404,s2743,s330,s4937,s5393,s2744,s2373,s435,s230,s1122,s3476,s2078,s4007,s7395,s8697,s10502,s9104,s6387,s5383,s6492,s5384,s8539,s10268,s711,s1690,s10504,s888,s2741]) ).
cnf(s10506,plain,
( spl2_202
| ~ spl2_75
| spl2_44
| ~ spl2_18
| spl2_206
| ~ spl2_25
| spl2_15
| spl2_308
| ~ spl2_26
| ~ spl2_17
| spl2_10
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1690,s8539,s6421,s6492,s1845,s4388,s10390,s4811,s10505,s6429,s9722,s129,s4776,s186,s10503,s10435,s10400,s10500,s1263,s1259,s7,s10276]) ).
cnf(s10507,plain,
( spl2_44
| ~ spl2_18
| spl2_206
| ~ spl2_25
| spl2_15
| spl2_308
| ~ spl2_26
| ~ spl2_17
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10400,s10493,s805,s10506,s91,s10491,s1259,s7]) ).
cnf(s10508,plain,
( spl2_208
| ~ spl2_194
| ~ spl2_324
| ~ spl2_75
| ~ spl2_140
| spl2_244
| spl2_202
| spl2_206 ),
inference(rat,[],[s6599,s2744,s10502,s9218,s8551,s6082,s1041,s2741]) ).
cnf(s10509,plain,
( ~ spl2_194
| spl2_363
| ~ spl2_324
| ~ spl2_98
| ~ spl2_75
| ~ spl2_203
| ~ spl2_140
| spl2_244
| spl2_202
| ~ spl2_44
| spl2_206
| ~ spl2_309 ),
inference(rat,[],[s4903,s3786,s4389,s3218,s2448,s10508]) ).
cnf(s10510,plain,
( ~ spl2_278
| spl2_204
| ~ spl2_132
| ~ spl2_75
| ~ spl2_140
| spl2_139
| spl2_202
| ~ spl2_44
| spl2_206
| ~ spl2_309
| ~ spl2_100
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s358,s10430,s2743,s2448,s320,s10459,s1122,s10509,s2641,s4007,s3476,s230,s10232,s9101,s4939,s10394,s10462,s1222,s5153,s724,s1263,s10440,s1259,s2741,s10276]) ).
cnf(s10511,plain,
( ~ spl2_301
| ~ spl2_234
| ~ spl2_132
| ~ spl2_250 ),
inference(rat,[],[s5512,s5603,s1845]) ).
cnf(s10512,plain,
( spl2_204
| ~ spl2_132
| ~ spl2_75
| ~ spl2_140
| spl2_139
| spl2_202
| ~ spl2_44
| spl2_206
| spl2_15
| ~ spl2_100
| ~ spl2_454
| spl2_308
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s3218,s6565,s7578,s4010,s7567,s10511,s7955,s3749,s2743,s9757,s4937,s6599,s10408,s2744,s859,s1538,s8198,s5220,s10510,s10288,s9762,s888,s10462,s1222,s5153,s724,s1263,s10440,s1259,s10276,s2741]) ).
cnf(s10513,plain,
( ~ spl2_278
| spl2_212
| ~ spl2_132
| ~ spl2_75
| ~ spl2_140
| spl2_139
| spl2_202
| ~ spl2_44
| spl2_206
| ~ spl2_309
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10459,s2448,s10509,s2641,s4007,s3476,s230,s10430,s10232,s9101,s4939,s10394,s10462,s1222,s5153,s724,s1263,s10440,s1259,s10276]) ).
cnf(s10514,plain,
( ~ spl2_194
| ~ spl2_204
| spl2_244
| ~ spl2_141
| ~ spl2_44
| ~ spl2_201 ),
inference(rat,[],[s1314,s9218,s2743,s2744,s3220,s2457,s2741]) ).
cnf(s10515,plain,
( spl2_234
| ~ spl2_208
| spl2_278
| spl2_212
| spl2_93
| ~ spl2_98
| ~ spl2_75
| ~ spl2_140
| spl2_244
| spl2_202
| spl2_206
| ~ spl2_17 ),
inference(rat,[],[s4007,s2641,s4944,s3476,s2448,s851,s230,s10430,s9523,s10232]) ).
cnf(s10516,plain,
( ~ spl2_132
| ~ spl2_75
| ~ spl2_140
| spl2_139
| spl2_202
| ~ spl2_44
| spl2_206
| spl2_15
| ~ spl2_100
| ~ spl2_454
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s851,s3786,s7687,s2590,s10515,s5654,s428,s5329,s3989,s5704,s10459,s10514,s10513,s372,s7340,s10512,s2010,s888,s1041,s10462,s1222,s5153,s724,s1263,s8295,s829,s10440,s1259]) ).
cnf(s10517,plain,
( ~ spl2_234
| ~ spl2_278
| ~ spl2_178
| ~ spl2_287
| ~ spl2_140 ),
inference(rat,[],[s7687,s7711]) ).
cnf(s10518,plain,
( spl2_234
| spl2_212
| ~ spl2_346
| spl2_471
| ~ spl2_98
| ~ spl2_75
| ~ spl2_250
| spl2_202
| spl2_206
| ~ spl2_309
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4007,s2641,s3476,s10458,s230,s10430,s10232,s1222,s5153]) ).
cnf(s10519,plain,
( ~ spl2_301
| ~ spl2_234
| spl2_471 ),
inference(rat,[],[s2641,s1845]) ).
cnf(s10520,plain,
( ~ spl2_75
| ~ spl2_140
| spl2_139
| spl2_202
| ~ spl2_44
| spl2_206
| spl2_15
| ~ spl2_100
| ~ spl2_454
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8298,s2743,s1133,s4937,s10408,s2744,s1119,s10288,s7567,s5220,s707,s10519,s6370,s1600,s10517,s2848,s1343,s10518,s372,s1541,s4996,s2096,s6565,s4944,s4929,s9732,s201,s10516,s10440,s1259,s2010,s888,s7,s10462,s1222,s5153,s724,s1263,s8295,s2741,s10276]) ).
cnf(s10521,plain,
( ~ spl2_84
| ~ spl2_104
| ~ spl2_26
| ~ spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s4929,s6565,s6718,s3009,s161,s9419]) ).
cnf(s10522,plain,
( spl2_139
| ~ spl2_44
| ~ spl2_18
| spl2_206
| spl2_15
| ~ spl2_75
| ~ spl2_100
| ~ spl2_454
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s9734,s5153,s10520,s805,s724,s1259]) ).
cnf(s10523,plain,
( spl2_234
| ~ spl2_196
| spl2_455
| ~ spl2_197
| ~ spl2_141
| ~ spl2_139
| ~ spl2_44
| ~ spl2_75
| ~ spl2_309
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s330,s2978,s3989,s8725,s2131,s2743,s4937,s2744,s435,s1122,s3218,s6429,s8551,s6492,s749,s9101,s2741,s10276]) ).
cnf(s10524,plain,
( ~ spl2_307
| ~ spl2_249
| ~ spl2_113
| ~ spl2_132 ),
inference(rat,[],[s7683,s7661]) ).
cnf(s10525,plain,
( ~ spl2_586
| ~ spl2_317
| ~ spl2_191
| ~ spl2_203
| spl2_93
| ~ spl2_204
| ~ spl2_44
| ~ spl2_309 ),
inference(rat,[],[s5262,s3116,s8870,s9042,s5851]) ).
cnf(s10526,plain,
( spl2_188
| ~ spl2_191
| spl2_356
| spl2_93
| spl2_455
| ~ spl2_197
| ~ spl2_139
| ~ spl2_309 ),
inference(rat,[],[s8844,s8870,s1588,s5012,s3116,s307]) ).
cnf(s10527,plain,
( spl2_140
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_18
| spl2_206
| spl2_15
| ~ spl2_75
| spl2_308
| ~ spl2_104
| ~ spl2_20
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s2157,s508,s1964,s7815,s4802,s5865,s8869,s5861,s656,s5392,s8870,s1919,s2435,s5262,s10526,s2115,s2650,s1751,s2373,s2102,s230,s583,s3476,s4295,s4388,s4007,s9722,s10519,s2590,s10523,s10502,s5118,s5383,s1518,s4193,s4939,s5384,s8539,s6186,s8546,s10268,s9734,s72,s1259,s2010,s888,s1263,s10276,s2741]) ).
cnf(s10528,plain,
( spl2_234
| ~ spl2_278
| ~ spl2_98
| spl2_212
| spl2_194
| spl2_244
| spl2_750
| spl2_202
| ~ spl2_139
| spl2_206
| ~ spl2_75
| ~ spl2_309 ),
inference(rat,[],[s6130,s5383,s330,s2744,s10502,s3989,s9218,s8551,s1142,s6082,s2448,s5937,s10250,s5093,s10430,s6074,s9101,s1041,s2741,s10276]) ).
cnf(s10529,plain,
( ~ spl2_278
| ~ spl2_98
| spl2_212
| ~ spl2_204
| spl2_244
| spl2_750
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| spl2_206
| ~ spl2_75
| spl2_308 ),
inference(rat,[],[s4295,s4388,s9722,s10519,s2590,s10528,s4939,s888,s10514,s1263,s1041,s10276]) ).
cnf(s10530,plain,
( spl2_234
| spl2_278
| ~ spl2_98
| spl2_212
| spl2_93
| spl2_194
| ~ spl2_204
| spl2_244
| ~ spl2_140
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_18
| spl2_206
| ~ spl2_75
| ~ spl2_309
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s1649,s8918,s2978,s2743,s330,s8301,s3989,s7572,s4388,s8551,s1142,s851,s4295,s10515,s9523,s9720,s9101,s1263,s2741,s10276]) ).
cnf(s10531,plain,
( ~ spl2_98
| spl2_93
| ~ spl2_204
| spl2_244
| ~ spl2_140
| spl2_750
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_18
| spl2_206
| ~ spl2_25
| ~ spl2_75
| spl2_308
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4388,s1845,s4295,s5937,s9722,s9300,s2590,s707,s10530,s10529,s888,s10514,s1263,s1041,s372,s7340,s2010,s10276]) ).
cnf(s10532,plain,
( ~ spl2_307
| ~ spl2_113
| ~ spl2_110
| spl2_194
| ~ spl2_132
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38 ),
inference(rat,[],[s5329,s5704,s10524,s5767]) ).
cnf(s10533,plain,
( spl2_244
| ~ spl2_140
| spl2_750
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_18
| spl2_206
| spl2_29
| ~ spl2_75
| ~ spl2_310
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s3377,s230,s4011,s2394,s10519,s2102,s9111,s10430,s10532,s4944,s1199,s4776,s9118,s186,s583,s10531,s372,s777,s5123,s10514,s7340,s6421,s2031,s2010,s10383,s1041,s1263]) ).
cnf(s10534,plain,
( ~ spl2_194
| ~ spl2_204
| spl2_229
| ~ spl2_324
| ~ spl2_98
| spl2_250
| spl2_202
| ~ spl2_44
| ~ spl2_201
| ~ spl2_25
| ~ spl2_17 ),
inference(rat,[],[s9300,s7088,s6565,s2448,s6083,s10496,s8551,s8725,s7762,s9223,s2743,s2744,s3220,s2457,s1263,s2741]) ).
cnf(s10535,plain,
( ~ spl2_301
| ~ spl2_208
| spl2_412
| spl2_471
| ~ spl2_204
| ~ spl2_207
| ~ spl2_98
| ~ spl2_244
| ~ spl2_44
| ~ spl2_25
| ~ spl2_17 ),
inference(rat,[],[s2456,s2744,s8890,s2135,s9300,s879,s6565,s2448,s2096,s2641,s4995,s2741]) ).
cnf(s10536,plain,
( ~ spl2_171
| spl2_90
| spl2_194
| spl2_226
| spl2_229
| ~ spl2_141
| ~ spl2_139
| ~ spl2_309
| ~ spl2_40 ),
inference(rat,[],[s6062,s9234,s3989,s7752,s8725,s2131]) ).
cnf(s10537,plain,
( ~ spl2_191
| ~ spl2_671
| ~ spl2_249
| ~ spl2_216
| ~ spl2_203
| ~ spl2_363
| ~ spl2_307
| ~ spl2_317
| ~ spl2_209
| spl2_93
| ~ spl2_204
| ~ spl2_139
| ~ spl2_44
| ~ spl2_309
| ~ spl2_26
| ~ spl2_17 ),
inference(rat,[],[s5262,s6677,s8870,s5588,s7543,s8535,s5431,s8537,s8868,s8871,s4151,s10525]) ).
cnf(s10538,plain,
( ~ spl2_278
| spl2_93
| ~ spl2_204
| ~ spl2_207
| spl2_226
| spl2_229
| ~ spl2_324
| ~ spl2_98
| ~ spl2_244
| ~ spl2_140
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_18
| spl2_206
| ~ spl2_25
| ~ spl2_309
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2159,s8869,s1389,s7815,s4900,s445,s10537,s4085,s425,s5323,s7683,s428,s5329,s3989,s5704,s330,s5759,s5512,s2448,s7661,s6083,s7762,s2744,s4937,s2743,s10536,s7567,s10535,s8551,s10502,s5383,s7284,s6645,s4939,s1263,s5384,s1259,s10534,s5153,s1041,s2741,s10276]) ).
cnf(s10539,plain,
( spl2_234
| ~ spl2_98
| ~ spl2_244
| ~ spl2_140
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_18
| ~ spl2_25
| ~ spl2_75
| ~ spl2_310
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1649,s8918,s2978,s2743,s330,s8301,s3989,s8551,s1142,s10535,s7572,s5632,s4944,s4388,s851,s4295,s9523,s9720,s10538,s10534,s5123,s7340,s4193,s6074,s859,s749,s9101,s72,s888,s5038,s1699,s1041,s10489,s1259,s1263,s5153,s2741,s10276]) ).
cnf(s10540,plain,
( spl2_208
| ~ spl2_120
| ~ spl2_209
| spl2_455
| spl2_245
| ~ spl2_98
| spl2_250
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4937,s2743,s2744,s7955,s7764,s2978,s1906,s7578,s2741]) ).
cnf(s10541,plain,
( spl2_204
| ~ spl2_234
| ~ spl2_98
| ~ spl2_244
| ~ spl2_140
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_201
| spl2_15
| ~ spl2_75
| ~ spl2_100
| spl2_308
| ~ spl2_104
| ~ spl2_26
| ~ spl2_17
| ~ spl2_290
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8961,s8871,s4900,s6618,s445,s10475,s1570,s8725,s2978,s1314,s330,s2743,s10408,s4937,s2744,s5760,s3218,s10540,s681,s4996,s1751,s1066,s9721,s230,s2101,s6565,s6803,s3897,s3476,s4010,s4388,s7567,s4007,s10519,s5383,s4939,s1963,s5118,s6545,s1538,s6421,s10288,s4193,s2010,s888,s1263,s5153,s5384,s1259,s2741,s10276]) ).
cnf(s10542,plain,
( ~ spl2_98
| ~ spl2_244
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_18
| ~ spl2_25
| spl2_15
| ~ spl2_75
| ~ spl2_310
| ~ spl2_100
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4388,s1845,s4295,s5937,s9722,s9300,s2590,s707,s10541,s10539,s996,s72,s1041,s7096,s10527,s10489,s5038,s1699,s1259,s10276]) ).
cnf(s10543,plain,
( ~ spl2_197
| spl2_234
| spl2_748
| spl2_202
| ~ spl2_139
| ~ spl2_44
| spl2_206
| ~ spl2_75
| ~ spl2_309
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10523,s10502,s5383,s6545,s1263]) ).
cnf(s10544,plain,
( ~ spl2_194
| ~ spl2_204
| spl2_229
| spl2_234
| ~ spl2_113
| ~ spl2_244
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_201
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s2454,s7567,s9219,s3684,s879,s4889,s10524,s7408,s7752,s1119,s8200,s330,s2978,s8551,s8725,s2131,s9223,s2743,s2744,s3220,s2457,s1259,s1263,s9101,s10276,s2741]) ).
cnf(s10545,plain,
( spl2_234
| spl2_212
| spl2_93
| spl2_98
| ~ spl2_244
| ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| spl2_206
| ~ spl2_25
| ~ spl2_75
| ~ spl2_309
| ~ spl2_26
| ~ spl2_17
| ~ spl2_290
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s9299,s8869,s6677,s5805,s5588,s8535,s8537,s8871,s10525,s1119,s7762,s2744,s1748,s8945,s7106,s9635,s2743,s8868,s2131,s468,s5329,s4151,s3989,s5704,s2115,s330,s2650,s5393,s2373,s230,s3377,s1508,s10532,s10544,s8744,s6421,s10543,s1102,s155,s749,s5186,s1041,s5153,s5384,s1259,s583,s9118,s2017,s4776,s186,s2741]) ).
cnf(s10546,plain,
( spl2_204
| ~ spl2_191
| ~ spl2_203
| spl2_356
| spl2_455
| spl2_93
| spl2_299
| ~ spl2_140
| ~ spl2_139
| ~ spl2_44
| ~ spl2_201
| spl2_308
| ~ spl2_104
| ~ spl2_17 ),
inference(rat,[],[s8963,s8871,s8081,s2743,s5278,s8869,s10408,s4937,s1919,s2435,s8844,s2744,s10526,s1476,s7710,s6421,s10288,s4193,s9762,s888,s2741]) ).
cnf(s10547,plain,
( ~ spl2_194
| ~ spl2_204
| ~ spl2_191
| ~ spl2_203
| ~ spl2_196
| spl2_356
| spl2_455
| spl2_93
| spl2_250
| ~ spl2_139
| ~ spl2_44
| ~ spl2_309
| ~ spl2_26
| ~ spl2_17 ),
inference(rat,[],[s8868,s5528,s8535,s8844,s5588,s1588,s6677,s3116,s2435,s5278,s8537,s8871,s7752,s10525,s1119,s7762,s2743,s2744,s3220,s2457,s2741]) ).
cnf(s10548,plain,
( ~ spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_18
| spl2_29
| spl2_15
| ~ spl2_75
| ~ spl2_621
| ~ spl2_310
| ~ spl2_100
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s9299,s8869,s6677,s5805,s5588,s8535,s8537,s8871,s10525,s1119,s7762,s2744,s4937,s9635,s8868,s2743,s4151,s2131,s468,s5329,s3989,s5704,s10547,s8744,s10546,s2115,s330,s2650,s5393,s2373,s230,s3476,s4007,s10502,s1751,s10519,s2848,s2102,s10545,s372,s5123,s4944,s9129,s565,s1199,s2017,s506,s4776,s186,s583,s10542,s5153,s10533,s10527,s7096,s996,s261,s72,s2010,s888,s5038,s1699,s1041,s10489,s10383,s1259,s2741]) ).
cnf(s10549,plain,
( spl2_140
| spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_18
| spl2_206
| ~ spl2_16
| ~ spl2_75
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s1845,s10388,s10543,s8511,s5384,s8539,s6186,s9734,s1259,s888,s4754]) ).
cnf(s10550,plain,
( spl2_244
| spl2_234
| ~ spl2_140
| spl2_78
| spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| spl2_206
| spl2_29
| ~ spl2_16
| ~ spl2_75
| spl2_308
| ~ spl2_17
| ~ spl2_38 ),
inference(rat,[],[s5767,s6580,s186,s469,s6565,s6429,s2096,s2448,s4995,s10388,s10430,s4007,s372,s3476,s10514,s7340,s230,s6421,s10232,s2031,s2010,s1041,s1263,s10276]) ).
cnf(s10551,plain,
( ~ spl2_98
| ~ spl2_204
| spl2_234
| spl2_78
| ~ spl2_712
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s4995,s8511,s2096,s859,s6565]) ).
cnf(s10552,plain,
( ~ spl2_194
| ~ spl2_204
| spl2_229
| ~ spl2_324
| spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_201
| ~ spl2_16
| spl2_308
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s2448,s4389,s10390,s4811,s330,s9722,s2978,s10496,s8551,s8725,s9223,s2743,s2744,s3220,s2457,s1263,s10276,s2741]) ).
cnf(s10553,plain,
( ~ spl2_203
| ~ spl2_77
| ~ spl2_644
| spl2_363
| spl2_194
| ~ spl2_17 ),
inference(rat,[],[s2448,s469,s4389,s5704]) ).
cnf(s10554,plain,
( spl2_203
| spl2_306
| spl2_98
| spl2_212
| spl2_206
| ~ spl2_75
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s230,s3377,s2373,s1510,s2650,s330,s5390,s186]) ).
cnf(s10555,plain,
( spl2_234
| ~ spl2_140
| spl2_132
| spl2_202
| ~ spl2_139
| ~ spl2_44
| spl2_206
| spl2_29
| ~ spl2_16
| ~ spl2_75
| ~ spl2_310
| spl2_308
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4811,s9721,s4389,s4995,s2448,s9765,s9760,s8551,s7710,s9223,s2744,s1748,s8945,s7106,s2743,s2131,s468,s3989,s5704,s10554,s10552,s1102,s155,s2017,s4776,s186,s583,s10551,s372,s5123,s7340,s6421,s10543,s5384,s10550,s749,s5186,s9101,s1259,s2010,s888,s10383,s1041,s4754,s4929,s4944,s9732,s10276,s2741]) ).
cnf(s10556,plain,
( spl2_202
| ~ spl2_139
| ~ spl2_44
| ~ spl2_18
| spl2_29
| spl2_15
| ~ spl2_75
| ~ spl2_621
| ~ spl2_310
| ~ spl2_100
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s3218,s10540,s10481,s2373,s2650,s2115,s10464,s1751,s5153,s2101,s6722,s1963,s6421,s2590,s9721,s9722,s230,s1538,s4811,s3476,s8511,s4388,s7567,s4007,s10519,s2848,s10555,s4944,s10549,s4929,s9732,s4754,s10548,s1263,s888,s5038,s1699,s7,s72,s1041,s10489,s10383,s1259,s10276]) ).
cnf(s10557,plain,
( spl2_15
| spl2_31
| ~ spl2_26
| ~ spl2_20
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s6545,s6421,s10493,s402,s10556,s10522,s10507,s12,s10499,s10489,s10383,s10482,s7,s5152,s120,s891,s5038,s3803,s91,s10521,s1699,s72,s1259]) ).
cnf(s10558,plain,
( ~ spl2_29
| ~ spl2_208
| ~ spl2_194
| spl2_130
| spl2_123
| ~ spl2_132
| ~ spl2_92
| spl2_93
| spl2_244
| ~ spl2_98
| spl2_202
| spl2_206
| ~ spl2_75
| ~ spl2_104
| ~ spl2_290
| spl2_10 ),
inference(rat,[],[s4011,s2641,s3377,s2113,s930,s2448,s4939,s230,s155,s10430,s9523,s10232,s5186,s10456,s2744,s2743,s9223,s8301,s8606,s496,s362,s779,s2094,s5653,s1237,s1041,s1263,s1222,s3104,s2741]) ).
cnf(s10559,plain,
( spl2_139
| spl2_206
| spl2_44
| ~ spl2_558
| ~ spl2_75
| ~ spl2_104
| ~ spl2_26
| ~ spl2_17
| ~ spl2_290
| spl2_10
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10456,s10430,s2744,s358,s9223,s2743,s7395,s3355,s10268,s1503,s2448,s271,s5937,s12,s9300,s10500,s2031,s10383,s10558,s912,s1164,s2078,s4171,s851,s9089,s2016,s7096,s10462,s926,s4929,s1222,s4170,s10486,s829,s1263,s5153,s10440,s805,s724,s1259,s5038,s1041,s2741,s10276]) ).
cnf(s10560,plain,
( spl2_234
| spl2_244
| spl2_212
| ~ spl2_197
| spl2_202
| ~ spl2_204
| ~ spl2_139
| spl2_206
| spl2_44
| ~ spl2_558
| ~ spl2_75
| ~ spl2_309
| ~ spl2_26
| ~ spl2_38 ),
inference(rat,[],[s10413,s4929,s2641,s153,s4948,s3416,s2744,s3104,s9223,s6994,s7395,s2540,s2078,s2743,s4171,s10404,s5767,s186,s6074,s1926,s9089,s4007,s926,s3476,s6429,s230,s6492,s10430,s10232,s1041,s10268,s1690,s6545,s2741,s10276]) ).
cnf(s10561,plain,
( ~ spl2_196
| ~ spl2_335
| ~ spl2_333
| spl2_44
| ~ spl2_558
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4171,s330,s2078,s2978,s7395,s8606]) ).
cnf(s10562,plain,
( ~ spl2_29
| ~ spl2_204
| ~ spl2_139
| spl2_206
| spl2_44
| ~ spl2_558
| ~ spl2_75
| ~ spl2_309
| ~ spl2_104
| ~ spl2_26
| ~ spl2_17
| ~ spl2_290
| spl2_10
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10486,s4929,s186,s4939,s5458,s2848,s5383,s10502,s10561,s10560,s1222,s1683,s362,s1676,s5653,s1237,s402,s10268,s6545,s8539,s1690]) ).
cnf(s10563,plain,
( spl2_206
| spl2_44
| ~ spl2_15
| ~ spl2_75
| ~ spl2_104
| ~ spl2_26
| ~ spl2_17
| spl2_30
| ~ spl2_290
| spl2_10
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10428,s10554,s155,s372,s2088,s565,s2017,s2645,s5767,s506,s4776,s330,s186,s4171,s10503,s2078,s12,s7395,s271,s10502,s10488,s5383,s5384,s2031,s10383,s10562,s6545,s8539,s10268,s1690,s402,s452,s10559,s1259,s2010,s888,s5038,s5995]) ).
cnf(s10564,plain,
( ~ spl2_206
| ~ spl2_558
| ~ spl2_104
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s4171,s2080,s1270]) ).
cnf(s10565,plain,
( ~ spl2_29
| ~ spl2_194
| ~ spl2_203
| ~ spl2_92
| ~ spl2_98
| ~ spl2_44 ),
inference(rat,[],[s10363,s4932,s10472,s2096]) ).
cnf(s10566,plain,
( spl2_139
| spl2_202
| ~ spl2_44
| spl2_206
| ~ spl2_558
| ~ spl2_75
| ~ spl2_26
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s6803,s4944,s4929,s10519,s10511,s7567,s2454,s2743,s1192,s4937,s10508,s6599,s9734,s12,s10383,s10565,s2744,s9218,s912,s6082,s3218,s4171,s271,s10462,s10498,s1222,s4170,s5153,s10440,s724,s1259,s1041,s1263,s10276,s2741]) ).
cnf(s10567,plain,
( spl2_234
| spl2_203
| spl2_212
| spl2_244
| ~ spl2_29
| ~ spl2_139
| spl2_202
| ~ spl2_44
| spl2_206
| ~ spl2_75
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2641,s10446,s4007,s186,s3476,s5767,s4948,s230,s10430,s10232,s9154,s2744,s9223,s8606,s2978,s330,s1222,s1041,s2741]) ).
cnf(s10568,plain,
( ~ spl2_29
| ~ spl2_204
| ~ spl2_139
| spl2_202
| ~ spl2_44
| ~ spl2_558
| ~ spl2_75
| ~ spl2_20
| spl2_10
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5251,s10387,s4948,s4170,s2848,s2590,s10567,s2744,s10502,s9223,s8606,s2978,s330,s4171,s10514,s1222,s362,s5078,s5653,s1029,s1041,s10564,s1699,s1259,s1263,s2741]) ).
cnf(s10569,plain,
( spl2_234
| spl2_212
| spl2_93
| ~ spl2_249
| ~ spl2_278
| spl2_226
| spl2_98
| ~ spl2_246
| ~ spl2_196
| ~ spl2_244
| ~ spl2_25
| ~ spl2_139
| spl2_202
| ~ spl2_44
| spl2_206
| ~ spl2_75
| ~ spl2_309
| ~ spl2_26
| ~ spl2_17
| ~ spl2_290
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4889,s3684,s7408,s5131,s8551,s10545,s9101,s1259,s10276]) ).
cnf(s10570,plain,
( ~ spl2_194
| ~ spl2_25
| ~ spl2_204
| spl2_202
| ~ spl2_44
| spl2_206
| ~ spl2_558
| spl2_84
| ~ spl2_309
| spl2_23
| ~ spl2_26
| ~ spl2_17
| spl2_30
| ~ spl2_290
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s2373,s2650,s230,s2115,s3476,s10547,s3782,s1751,s4889,s2102,s6717,s10569,s372,s5120,s5383,s7752,s565,s9300,s8200,s1119,s506,s4776,s330,s186,s583,s12,s2978,s4170,s10280,s4050,s8725,s10496,s2131,s1059,s9223,s2743,s2744,s5384,s5153,s3220,s2457,s10514,s1259,s1041,s1263,s10566,s91,s2741]) ).
cnf(s10571,plain,
( spl2_244
| spl2_212
| spl2_234
| spl2_203
| ~ spl2_204
| spl2_202
| ~ spl2_44
| spl2_206
| ~ spl2_558
| ~ spl2_75
| ~ spl2_38 ),
inference(rat,[],[s2096,s4995,s4170,s4007,s186,s3476,s5767,s230,s10430,s10232]) ).
cnf(s10572,plain,
( ~ spl2_98
| ~ spl2_140
| ~ spl2_244
| spl2_234
| ~ spl2_18
| ~ spl2_25
| ~ spl2_204
| ~ spl2_139
| spl2_202
| ~ spl2_44
| ~ spl2_75
| ~ spl2_310
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10551,s4929,s4754,s10539,s72,s1259]) ).
cnf(s10573,plain,
( spl2_234
| ~ spl2_18
| spl2_203
| ~ spl2_25
| ~ spl2_204
| spl2_202
| ~ spl2_44
| ~ spl2_558
| ~ spl2_75
| ~ spl2_310
| ~ spl2_26
| ~ spl2_20
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s155,s2017,s1102,s4776,s10554,s186,s583,s10572,s8539,s10543,s5384,s10571,s358,s2743,s8725,s749,s5186,s888,s5038,s1263,s10566,s10564,s1699,s72,s1259,s2978,s330,s2741]) ).
cnf(s10574,plain,
( spl2_202
| ~ spl2_15
| spl2_84
| ~ spl2_310
| ~ spl2_26
| ~ spl2_20
| spl2_10
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1102,s1508,s372,s155,s3377,s565,s2017,s230,s2088,s5767,s506,s4776,s2373,s2645,s186,s583,s4170,s2590,s10573,s2650,s12,s330,s5390,s271,s4171,s1498,s10570,s10383,s10568,s452,s10566,s2010,s888,s5038,s10563,s10564,s5995,s91,s1699,s72,s1259,s261,s996]) ).
cnf(s10575,plain,
( ~ spl2_20
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s7938,s805,s402,s10574,s5995,s10557,s10521,s891,s5038,s18,s1699,s23,s72,s261,s1259,s28,s27]) ).
cnf(s10579,plain,
( ~ spl2_644
| ~ spl2_77
| ~ spl2_140
| spl2_363
| ~ spl2_324
| ~ spl2_203
| spl2_244
| spl2_202
| spl2_206
| ~ spl2_75
| ~ spl2_17 ),
inference(rat,[],[s10508,s2448,s10553,s4389]) ).
cnf(s10580,plain,
( ~ spl2_194
| spl2_197
| ~ spl2_140
| spl2_363
| spl2_234
| ~ spl2_195
| spl2_244
| spl2_202
| spl2_206
| ~ spl2_75
| spl2_44 ),
inference(rat,[],[s358,s10430,s2743,s2448,s8302,s10508,s2078,s9101,s2741,s10276]) ).
cnf(s10581,plain,
( spl2_204
| ~ spl2_203
| ~ spl2_132
| ~ spl2_78
| spl2_244
| ~ spl2_250
| spl2_202
| spl2_206
| ~ spl2_75
| spl2_44
| ~ spl2_17
| ~ spl2_14
| ~ spl2_38 ),
inference(rat,[],[s10430,s358,s2448,s2743,s469,s320,s5704,s1122,s10580,s6492,s6429,s926,s3096,s120,s230,s9734,s226,s5512,s10232,s8,s5603,s10511,s271,s4021,s1496,s10288,s9228,s2741,s10276]) ).
cnf(s10582,plain,
( spl2_139
| spl2_202
| spl2_206
| spl2_84
| spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s230,s3096,s10232,s10279,s10394,s8,s4798,s711,s1690,s10581,s10462,s4929,s1222,s10486,s5153,s10440,s724,s1259,s91,s1263,s2741]) ).
cnf(s10583,plain,
( spl2_244
| spl2_234
| ~ spl2_139
| spl2_84
| spl2_44
| ~ spl2_17
| ~ spl2_14 ),
inference(rat,[],[s6421,s711,s6492,s8,s6429,s10279,s926,s3096,s230,s10232,s91,s10276]) ).
cnf(s10584,plain,
( ~ spl2_92
| ~ spl2_18
| ~ spl2_208
| ~ spl2_244
| spl2_234
| ~ spl2_278
| ~ spl2_139
| spl2_44
| ~ spl2_16
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s2135,s2744,s879,s2456,s2448,s6074,s8703,s5512,s186,s1993,s1857,s4776,s9732,s129,s926,s1259,s2741]) ).
cnf(s10585,plain,
( spl2_197
| ~ spl2_139
| spl2_44
| ~ spl2_17 ),
inference(rat,[],[s1690,s8539,s6421]) ).
cnf(s10586,plain,
( spl2_234
| ~ spl2_278
| ~ spl2_139
| spl2_202
| spl2_206
| spl2_84
| spl2_44
| ~ spl2_16
| ~ spl2_17
| ~ spl2_14
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10584,s8,s8551,s271,s10502,s10488,s5383,s6429,s5384,s6492,s10583,s9101,s1259,s10585,s10276]) ).
cnf(s10587,plain,
( ~ spl2_78
| spl2_204
| ~ spl2_234
| ~ spl2_278
| ~ spl2_26 ),
inference(rat,[],[s10519,s4939,s4021,s4929,s2741,s10276]) ).
cnf(s10588,plain,
( ~ spl2_132
| ~ spl2_77
| ~ spl2_178
| spl2_98
| spl2_30
| ~ spl2_18
| spl2_299
| ~ spl2_278
| ~ spl2_139
| spl2_202
| spl2_206
| ~ spl2_75
| spl2_44
| ~ spl2_17
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s8196,s9118,s10505]) ).
cnf(s10589,plain,
( spl2_204
| spl2_244
| ~ spl2_234
| ~ spl2_139
| spl2_202
| spl2_206
| ~ spl2_75
| spl2_44
| ~ spl2_16
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s9733,s1968,s8646,s9645,s4809,s8664,s6681,s1588,s8869,s8844,s1476,s5131,s10588,s2115,s2650,s2373,s230,s3476,s7567,s4007,s10519,s569,s4944,s6429,s5093,s5383,s565,s1199,s129,s10250,s5458,s506,s4776,s1751,s186,s2101,s10486,s10587,s5183,s9734,s8,s5340,s271,s8217,s1496,s1259,s10400,s2466,s5118,s9154,s2031,s10585,s10276,s2741]) ).
cnf(s10590,plain,
( ~ spl2_19
| ~ spl2_234
| ~ spl2_278
| spl2_202
| spl2_206
| spl2_84
| spl2_44
| ~ spl2_16 ),
inference(rat,[],[s4939,s2848,s9732,s10488,s10279,s271]) ).
cnf(s10591,plain,
( ~ spl2_132
| ~ spl2_77
| spl2_299
| ~ spl2_178
| spl2_98
| ~ spl2_18
| ~ spl2_278
| ~ spl2_139
| spl2_202
| spl2_206
| ~ spl2_75
| spl2_44
| ~ spl2_17
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s10588,s309]) ).
cnf(s10592,plain,
( spl2_204
| ~ spl2_18
| ~ spl2_234
| ~ spl2_139
| spl2_202
| spl2_206
| ~ spl2_75
| ~ spl2_621
| spl2_44
| ~ spl2_16
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s2078,s1170,s1123,s7955,s320,s1797,s2743,s565,s4937,s5183,s2744,s6186,s7710,s5131,s9760,s10591,s330,s5393,s2373,s5340,s5118,s230,s8217,s120,s6429,s9129,s3476,s226,s1199,s129,s2017,s3782,s3684,s506,s233,s4776,s4889,s5383,s186,s583,s6717,s5384,s10486,s10589,s10587,s10288,s1259,s10400,s2741,s10276]) ).
cnf(s10593,plain,
( ~ spl2_98
| ~ spl2_25
| ~ spl2_203
| ~ spl2_246
| spl2_304
| spl2_194
| spl2_353
| spl2_44
| ~ spl2_17 ),
inference(rat,[],[s4442,s4006,s9300,s3478,s912,s10486]) ).
cnf(s10594,plain,
( spl2_202
| spl2_206
| spl2_84
| spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10591,s6429,s1199,s129,s7606,s10593,s10383,s1923,s9234,s5969,s6062,s888,s8725,s2454,s7752,s10536,s2743,s1969,s4937,s2744,s435,s5514,s1122,s9151,s4754,s2078,s8511,s7567,s7395,s3684,s10502,s4889,s5383,s7284,s2614,s6717,s5384,s6186,s10268,s1948,s711,s1690,s10592,s8,s10590,s10586,s10585,s10400,s10582,s1263,s1259,s7,s3803,s91,s10276,s2741]) ).
cnf(s10595,plain,
( ~ spl2_202
| spl2_44
| ~ spl2_16
| ~ spl2_17
| ~ spl2_26
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s10400,s10493,s805]) ).
cnf(s10598,plain,
( spl2_255
| spl2_207
| ~ spl2_77
| ~ spl2_324
| spl2_93
| spl2_139
| spl2_44
| ~ spl2_17
| ~ spl2_38 ),
inference(rat,[],[s4715,s528,s6677,s445,s5195,s8869,s7855,s5350]) ).
cnf(s10599,plain,
( ~ spl2_180
| ~ spl2_144
| ~ spl2_47
| spl2_216
| spl2_93
| ~ spl2_203
| ~ spl2_206 ),
inference(rat,[],[s8871,s9052,s3644,s4978]) ).
cnf(s10600,plain,
( ~ spl2_194
| ~ spl2_287
| spl2_363
| ~ spl2_18
| ~ spl2_178
| ~ spl2_118
| ~ spl2_132
| spl2_93
| spl2_244
| ~ spl2_250
| ~ spl2_203
| ~ spl2_206
| ~ spl2_75
| spl2_44
| ~ spl2_17
| ~ spl2_38
| ~ spl2_149 ),
inference(rat,[],[s528,s8192,s3760,s8870,s9325,s5350,s2527,s8646,s6196,s2761,s1911,s656,s10599,s2025,s2751,s2519,s428,s863,s2078,s6429,s926,s10276]) ).
cnf(s10601,plain,
( ~ spl2_118
| spl2_244
| spl2_139
| ~ spl2_206
| spl2_202
| spl2_84
| spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s468,s10383,s2519,s1470,s2025,s4986,s5329,s5704,s10600,s8295,s9734,s5512,s9074,s8,s5603,s3047,s10279,s926,s4007,s10391,s3096,s3476,s1270,s724,s829,s4929,s10486,s10440,s91,s10276]) ).
cnf(s10602,plain,
( spl2_139
| spl2_202
| spl2_84
| spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1690,s4010,s4758,s10511,s10394,s10232,s230,s10601,s4929,s10486,s5153,s10440,s724,s1259,s91,s10594,s2741]) ).
cnf(s10603,plain,
( spl2_196
| spl2_455
| ~ spl2_139
| ~ spl2_203 ),
inference(rat,[],[s4937,s2743,s2744,s938,s1813,s2741]) ).
cnf(s10604,plain,
( spl2_234
| ~ spl2_139
| ~ spl2_206
| spl2_202
| spl2_84
| spl2_44
| ~ spl2_16
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_7
| spl2_4 ),
inference(rat,[],[s5329,s5427,s5704,s867,s2078,s2744,s7395,s10403,s10268,s1503,s271,s8,s10584,s8551,s10603,s5383,s6429,s5384,s5153,s6492,s10583,s9101,s27,s1270,s1259,s28,s10400,s10585,s2741,s10276]) ).
cnf(s10605,plain,
( ~ spl2_19
| spl2_244
| ~ spl2_234
| ~ spl2_139
| ~ spl2_203
| ~ spl2_206
| spl2_202
| spl2_84
| spl2_44
| ~ spl2_16
| ~ spl2_17
| ~ spl2_26
| ~ spl2_149 ),
inference(rat,[],[s5329,s4986,s5704,s2025,s2078,s2519,s7395,s8606,s10603,s2848,s4939,s10268,s9732,s1463,s10279,s275,s773,s10400,s1222,s9154,s2031,s10585]) ).
cnf(s10606,plain,
( spl2_244
| ~ spl2_234
| ~ spl2_139
| ~ spl2_206
| spl2_202
| spl2_84
| spl2_44
| ~ spl2_16
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2744,s7710,s4937,s9760,s2743,s425,s7955,s8196,s1170,s10401,s2078,s6580,s5329,s4986,s2025,s2978,s2519,s8606,s10519,s10603,s4944,s5383,s1199,s5458,s4776,s186,s10486,s5183,s10587,s10288,s9734,s711,s8,s10605,s5118,s9154,s2031,s1222,s1270,s1259,s10400,s10585,s2741]) ).
cnf(s10607,plain,
( ~ spl2_333
| ~ spl2_196
| spl2_250
| ~ spl2_278
| ~ spl2_139
| ~ spl2_203
| ~ spl2_206
| spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_37 ),
inference(rat,[],[s5329,s5427,s5704,s867,s2078,s2744,s7395,s10403,s2741]) ).
cnf(s10608,plain,
( ~ spl2_132
| ~ spl2_77
| ~ spl2_178
| spl2_299
| spl2_98
| spl2_30
| spl2_204
| ~ spl2_278
| ~ spl2_139
| spl2_202
| ~ spl2_75
| spl2_44
| ~ spl2_17
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s8196,s10504,s9118]) ).
cnf(s10609,plain,
( spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s7144,s8722,s1123,s10215,s9645,s320,s7902,s6681,s5427,s2743,s8869,s867,s4937,s8844,s2744,s1476,s7710,s5131,s9760,s10608,s1798,s5493,s8217,s120,s6429,s2115,s565,s226,s1292,s1199,s129,s5118,s2650,s506,s233,s4776,s9129,s1751,s2373,s546,s186,s583,s8,s2101,s10486,s271,s3683,s10587,s5183,s1503,s1690,s10268,s10607,s230,s3476,s3702,s3782,s3684,s10603,s4889,s5383,s6717,s5384,s5153,s10606,s10604,s10585,s10400,s10602,s1270,s10594,s10595,s91,s3803,s10491,s1259,s28,s27,s7,s2741,s10276]) ).
cnf(s10610,plain,
( ~ spl2_19
| spl2_206
| spl2_84
| spl2_202
| ~ spl2_44 ),
inference(rat,[],[s10498,s10280,s271]) ).
cnf(s10611,plain,
( spl2_92
| ~ spl2_278
| spl2_363
| spl2_234
| ~ spl2_140
| spl2_206
| ~ spl2_98
| ~ spl2_75
| ~ spl2_203
| spl2_244
| spl2_202
| ~ spl2_44
| ~ spl2_17
| spl2_10
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s5704,s469,s10508,s2448,s10430,s362,s7347,s9300,s10383,s394,s5038,s9722,s3897,s10579,s6565,s6429,s9101,s4007,s3476,s230,s10232,s10276]) ).
cnf(s10612,plain,
( spl2_308
| ~ spl2_100
| ~ spl2_140
| spl2_206
| ~ spl2_75
| spl2_139
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10520,s3445,s805,s1259]) ).
cnf(s10613,plain,
( spl2_92
| spl2_363
| spl2_234
| ~ spl2_140
| spl2_206
| spl2_93
| ~ spl2_98
| ~ spl2_75
| ~ spl2_203
| spl2_244
| spl2_202
| ~ spl2_44
| ~ spl2_17
| spl2_10
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s4903,s9523,s10579,s10611,s6429,s9101,s10276]) ).
cnf(s10614,plain,
( ~ spl2_278
| ~ spl2_173
| ~ spl2_249
| spl2_139 ),
inference(rat,[],[s5330,s867,s9117]) ).
cnf(s10615,plain,
( ~ spl2_169
| ~ spl2_173
| ~ spl2_455
| spl2_194
| spl2_208
| ~ spl2_346
| spl2_363
| ~ spl2_324
| spl2_204
| spl2_93 ),
inference(rat,[],[s6195,s8868,s8870,s8793,s9367,s6898,s307,s4772,s10238,s1968,s8646]) ).
cnf(s10616,plain,
( spl2_234
| ~ spl2_308
| ~ spl2_18
| spl2_206
| ~ spl2_75
| ~ spl2_203
| spl2_244
| spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_14
| spl2_10
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s1298,s656,s445,s1911,s4390,s2761,s10615,s4295,s9720,s10614,s2744,s10502,s7143,s9218,s8551,s912,s6082,s3088,s2448,s10430,s360,s1541,s201,s4996,s5027,s2096,s10613,s2641,s4944,s4007,s3096,s3476,s230,s10232,s9101,s805,s829,s10440,s1041,s9734,s394,s5038,s6066,s2822,s724,s2741,s10276]) ).
cnf(s10617,plain,
( ~ spl2_132
| ~ spl2_234
| ~ spl2_643
| ~ spl2_308
| ~ spl2_98
| ~ spl2_250
| ~ spl2_44 ),
inference(rat,[],[s6429,s2096,s6550,s5027,s10511,s10276]) ).
cnf(s10618,plain,
( spl2_206
| spl2_84
| spl2_139
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5654,s8298,s8302,s2743,s4937,s2744,s1119,s8556,s9519,s7567,s10502,s6370,s733,s10519,s6601,s10517,s7687,s4944,s6565,s9732,s4929,s201,s10617,s10616,s8217,s10288,s2031,s6066,s394,s2822,s5038,s10612,s120,s8295,s226,s9734,s8,s10610,s7,s9228,s10462,s1222,s5153,s724,s1263,s805,s829,s10440,s91,s1259,s2741,s10276]) ).
cnf(s10619,plain,
( ~ spl2_19
| ~ spl2_301
| spl2_84
| spl2_202
| ~ spl2_44 ),
inference(rat,[],[s4995,s2096,s1496,s10280,s271]) ).
cnf(s10622,plain,
( ~ spl2_173
| ~ spl2_194
| ~ spl2_195
| ~ spl2_278
| spl2_197
| ~ spl2_287
| ~ spl2_140 ),
inference(rat,[],[s2743,s8302,s4937,s8039,s6403,s6599,s2741]) ).
cnf(s10623,plain,
( ~ spl2_247
| spl2_299
| ~ spl2_132
| ~ spl2_77
| spl2_363
| ~ spl2_287
| ~ spl2_178
| ~ spl2_118
| spl2_93
| ~ spl2_75
| spl2_244
| ~ spl2_250
| ~ spl2_17
| ~ spl2_38 ),
inference(rat,[],[s528,s8192,s3760,s8870,s9325,s5350,s2527,s8646,s6196,s2761,s1911]) ).
cnf(s10624,plain,
( spl2_249
| ~ spl2_278
| ~ spl2_132
| ~ spl2_77
| spl2_363
| ~ spl2_287
| ~ spl2_178
| ~ spl2_118
| ~ spl2_852
| spl2_93
| ~ spl2_75
| ~ spl2_203
| spl2_244
| ~ spl2_250
| ~ spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s8871,s9050,s9470,s6721,s1298,s3142,s656,s10623,s416,s9128]) ).
cnf(s10625,plain,
( ~ spl2_249
| ~ spl2_132
| ~ spl2_107
| spl2_92
| spl2_306
| ~ spl2_206
| ~ spl2_98
| ~ spl2_203
| ~ spl2_17
| ~ spl2_37
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s2811,s888,s6580,s3786,s468,s3053,s10383,s2519,s7661,s1470,s2025,s5427,s4986,s10276]) ).
cnf(s10626,plain,
( spl2_92
| spl2_363
| ~ spl2_287
| ~ spl2_140
| spl2_110
| ~ spl2_178
| spl2_234
| ~ spl2_852
| spl2_306
| ~ spl2_206
| spl2_93
| ~ spl2_98
| ~ spl2_75
| ~ spl2_203
| spl2_244
| ~ spl2_250
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s2743,s8302,s4937,s10288,s8039,s6599,s2457,s2744,s8200,s1142,s8182,s2448,s3053,s9523,s6580,s10624,s5329,s10625,s4929,s9074,s6492,s6565,s3047,s6429,s230,s10232,s2741,s10276]) ).
cnf(s10627,plain,
( ~ spl2_194
| ~ spl2_645
| ~ spl2_278
| spl2_193
| ~ spl2_195
| ~ spl2_92
| ~ spl2_287
| ~ spl2_140
| ~ spl2_206
| ~ spl2_98
| ~ spl2_75
| ~ spl2_203
| spl2_244
| ~ spl2_44
| ~ spl2_149 ),
inference(rat,[],[s2519,s3671,s2025,s2744,s4986,s10622,s9719,s6082,s2031,s3218,s10565,s1222,s2741]) ).
cnf(s10628,plain,
( spl2_308
| spl2_193
| spl2_299
| spl2_204
| ~ spl2_92
| spl2_363
| ~ spl2_140
| spl2_226
| ~ spl2_206
| ~ spl2_75
| spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2519,s8606,s2025,s9221,s4986,s2744,s5329,s10408,s5704,s1122,s10627,s3897,s4389,s10458,s5220,s888,s10462,s1222,s5153,s724,s1263,s805,s10440,s1259,s8295,s2096,s10288,s2741]) ).
cnf(s10629,plain,
( ~ spl2_194
| ~ spl2_278
| spl2_193
| ~ spl2_195
| ~ spl2_92
| ~ spl2_287
| ~ spl2_140
| ~ spl2_206
| ~ spl2_98
| ~ spl2_75
| ~ spl2_203
| spl2_244
| ~ spl2_44
| ~ spl2_149 ),
inference(rat,[],[s4295,s4389,s10627,s3088,s2096]) ).
cnf(s10630,plain,
( ~ spl2_217
| ~ spl2_25
| ~ spl2_206
| ~ spl2_26
| ~ spl2_149 ),
inference(rat,[],[s2025,s2519,s4986,s468,s5329]) ).
cnf(s10631,plain,
( spl2_234
| ~ spl2_206
| spl2_84
| spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s9523,s3053,s10629,s3088,s6580,s10630,s10383,s394,s5038,s10628,s569,s5340,s1541,s8217,s10288,s4996,s4995,s2096,s10626,s2641,s4944,s8295,s226,s9734,s8,s10619,s4007,s10391,s3096,s3476,s230,s859,s10232,s9228,s10462,s1222,s5153,s724,s1263,s805,s829,s10440,s91,s1259,s1100,s9468,s8939,s2741]) ).
cnf(s10632,plain,
( spl2_92
| ~ spl2_234
| ~ spl2_98
| spl2_84
| spl2_244
| spl2_202
| spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14 ),
inference(rat,[],[s3786,s851,s888,s2394,s2822,s230,s351,s3476,s4021,s4007,s9111,s10511,s9734,s4929,s8,s6565,s10280,s724,s91,s2741,s10276]) ).
cnf(s10633,plain,
( ~ spl2_301
| ~ spl2_140
| ~ spl2_234
| ~ spl2_250
| ~ spl2_16 ),
inference(rat,[],[s4944,s9732,s10519,s10511]) ).
cnf(s10634,plain,
( spl2_308
| spl2_299
| ~ spl2_325
| ~ spl2_209
| spl2_278
| spl2_455
| ~ spl2_140
| spl2_204
| ~ spl2_98
| ~ spl2_203
| ~ spl2_44
| ~ spl2_17
| ~ spl2_38 ),
inference(rat,[],[s7955,s7578,s2743,s3749,s1133,s4937,s10408,s9757,s2744,s8198,s9762,s888,s3445,s10288,s2741]) ).
cnf(s10635,plain,
( spl2_84
| spl2_139
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s8298,s2743,s1133,s4937,s6580,s2744,s10630,s1119,s6370,s10383,s9519,s201,s394,s5027,s5038,s10634,s1541,s1600,s4996,s1343,s6803,s4021,s7567,s10633,s7711,s6601,s923,s9734,s8,s271,s1496,s2590,s2096,s10632,s7720,s10631,s10618,s829,s10440,s91,s7,s10462,s1222,s5153,s724,s1263,s805,s1259,s2741,s10276]) ).
cnf(s10637,plain,
( ~ spl2_194
| ~ spl2_278
| ~ spl2_195
| ~ spl2_324
| ~ spl2_287
| ~ spl2_140
| ~ spl2_201
| ~ spl2_92
| spl2_197
| spl2_202
| ~ spl2_44 ),
inference(rat,[],[s9223,s2744,s8551,s10622,s3218,s2741]) ).
cnf(s10640,plain,
( spl2_191
| spl2_356
| spl2_192
| spl2_93
| spl2_202
| ~ spl2_250
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s1905,s9513,s4900,s3463,s8870,s445,s3760,s1222,s5153]) ).
cnf(s10641,plain,
( ~ spl2_168
| ~ spl2_191
| ~ spl2_304
| ~ spl2_249
| spl2_93
| spl2_132
| ~ spl2_98
| ~ spl2_203 ),
inference(rat,[],[s8535,s8537,s8871,s6026,s9042,s6756,s6476,s8868,s8173,s201]) ).
cnf(s10642,plain,
( ~ spl2_278
| spl2_363
| spl2_204
| spl2_234
| ~ spl2_18
| spl2_206
| spl2_212
| spl2_192
| spl2_299
| spl2_197
| ~ spl2_25
| spl2_132
| ~ spl2_84
| spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8547,s6677,s529,s1968,s8384,s2761,s10641,s10640,s4438,s10250,s154,s3377,s1751,s1508,s2113,s9219,s10428,s2380,s879,s155,s4602,s2448,s5252,s8551,s9221,s2744,s1782,s10614,s2743,s5329,s320,s5704,s1122,s10637,s10462,s1222,s1263,s805,s829,s2096,s6565,s4929,s161,s1259,s1041,s8295,s9734,s120,s226,s9228,s9101,s5186,s10232,s5153,s724,s10288,s2741,s10276]) ).
cnf(s10643,plain,
( ~ spl2_301
| spl2_234
| spl2_471
| ~ spl2_18
| spl2_206
| spl2_212
| spl2_192
| spl2_299
| spl2_197
| ~ spl2_25
| spl2_132
| ~ spl2_84
| spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10640,s1751,s4390,s2111,s10615,s2744,s10502,s8200,s8551,s1142,s3088,s2448,s4389,s4295,s9720,s10642,s2641,s4995,s10462,s1222,s5153,s724,s1263,s805,s829,s2096,s6565,s4929,s161,s1259,s9101,s2741,s10276]) ).
cnf(s10644,plain,
( ~ spl2_194
| ~ spl2_278
| ~ spl2_324
| ~ spl2_287
| ~ spl2_140
| ~ spl2_201
| ~ spl2_92
| spl2_197
| spl2_244
| spl2_202
| ~ spl2_44 ),
inference(rat,[],[s10288,s10637,s10514,s1263]) ).
cnf(s10645,plain,
( ~ spl2_169
| ~ spl2_191
| ~ spl2_111
| ~ spl2_94
| ~ spl2_346
| ~ spl2_25
| ~ spl2_17 ),
inference(rat,[],[s8547,s6677,s529,s1968,s8384]) ).
cnf(s10646,plain,
( spl2_234
| ~ spl2_18
| spl2_206
| spl2_212
| spl2_192
| spl2_299
| spl2_197
| ~ spl2_25
| ~ spl2_178
| spl2_132
| ~ spl2_84
| spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s7088,s2448,s9556,s9219,s10641,s2761,s10645,s10640,s1751,s1102,s2113,s2380,s4602,s927,s8551,s9223,s2744,s10614,s468,s5329,s5704,s10644,s4438,s10250,s154,s155,s3476,s9519,s3702,s4007,s10643,s859,s10232,s5186,s9101,s10462,s1222,s1263,s805,s829,s2096,s6565,s4929,s161,s1259,s1041,s8295,s4944,s9734,s5153,s724,s2741,s10276]) ).
cnf(s10647,plain,
( spl2_206
| spl2_212
| spl2_192
| spl2_299
| spl2_197
| ~ spl2_25
| spl2_132
| ~ spl2_84
| spl2_139
| ~ spl2_44
| ~ spl2_16
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s5654,s8298,s8302,s2743,s4937,s2744,s8198,s8556,s6370,s733,s9760,s7567,s10502,s10288,s7687,s10517,s10633,s6601,s707,s10646,s8295,s9734,s8,s271,s10498,s10462,s1222,s5153,s724,s1263,s805,s829,s201,s9732,s6565,s4929,s161,s1259,s2741,s10276]) ).
cnf(s10648,plain,
( spl2_139
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4633,s10250,s2519,s504,s2025,s4986,s7143,s912,s4055,s10647,s372,s777,s1565,s4996,s2096,s6565,s2031,s10383,s2738,s9732,s4929,s201,s394,s6718,s6691,s10521,s161,s9419,s9593,s10635,s10462,s1222,s1263,s5153,s805,s724,s1259,s7]) ).
cnf(s10649,plain,
( ~ spl2_204
| spl2_206
| ~ spl2_18
| ~ spl2_178
| spl2_234
| spl2_750
| ~ spl2_132
| ~ spl2_250
| spl2_202
| ~ spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10530,s10528,s372,s888,s2010,s5119,s2822,s10514,s7340,s6066,s1263,s9734,s5153,s1041]) ).
cnf(s10650,plain,
( spl2_204
| spl2_226
| spl2_244
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_40 ),
inference(rat,[],[s5068,s2822,s2031,s4193,s6421,s2741]) ).
cnf(s10651,plain,
( spl2_234
| ~ spl2_132
| ~ spl2_250
| spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10626,s9468,s1270,s1100,s8939,s5119,s2096,s10649,s7340,s4995,s10650,s2160,s9734,s8,s10619,s5937,s4776,s4007,s10250,s3096,s3476,s5093,s230,s6074,s859,s10232,s1259,s91,s5153,s7096]) ).
cnf(s10652,plain,
( ~ spl2_178
| ~ spl2_287
| ~ spl2_140
| ~ spl2_120
| ~ spl2_234
| spl2_244
| ~ spl2_139
| ~ spl2_17
| ~ spl2_26 ),
inference(rat,[],[s6545,s6421,s10517,s2394,s9111]) ).
cnf(s10653,plain,
( ~ spl2_18
| ~ spl2_120
| spl2_301
| ~ spl2_234
| spl2_244
| ~ spl2_250
| ~ spl2_98
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38 ),
inference(rat,[],[s2822,s1569,s6066,s2590,s9485,s4010,s2420,s6803,s828,s10652,s2160,s226,s9734,s9228]) ).
cnf(s10654,plain,
( ~ spl2_132
| ~ spl2_250
| spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2590,s1496,s10280,s271,s8,s10653,s230,s3476,s4007,s10511,s10651,s91,s5153]) ).
cnf(s10655,plain,
( spl2_234
| spl2_78
| ~ spl2_712
| spl2_244
| ~ spl2_98
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_40 ),
inference(rat,[],[s10650,s10551,s859]) ).
cnf(s10656,plain,
( ~ spl2_250
| spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| ~ spl2_16
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2160,s10517,s6186,s6545,s10650,s6421,s707,s10655,s9732,s4929,s4754,s10654,s5153,s1259]) ).
cnf(s10657,plain,
( spl2_203
| ~ spl2_18
| spl2_378
| ~ spl2_204
| spl2_229
| ~ spl2_141
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s9235,s2743,s1649,s8725,s2978,s330,s2741]) ).
cnf(s10658,plain,
( spl2_234
| ~ spl2_132
| spl2_244
| spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s3220,s2743,s6580,s7752,s5329,s10625,s1100,s10613,s10657,s9074,s3047,s5119,s7340,s9734,s2096,s8,s4995,s7572,s10619,s5937,s4776,s4007,s10250,s3096,s3476,s5093,s10650,s230,s749,s6074,s859,s10232,s1259,s91,s1263,s7096,s2741]) ).
cnf(s10659,plain,
( spl2_140
| ~ spl2_234
| spl2_244
| spl2_84
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_14
| ~ spl2_40 ),
inference(rat,[],[s10280,s2590,s8,s10650,s9734,s6186]) ).
cnf(s10660,plain,
( ~ spl2_178
| ~ spl2_140
| ~ spl2_234
| spl2_244
| spl2_202
| ~ spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8606,s2978,s8301,s1270,s330,s2743,s10408,s4937,s2744,s888,s5760,s2822,s120,s10449,s5068,s2466,s6565,s1538,s2031,s4021,s10650,s6421,s10288,s2394,s230,s3476,s4007,s10519,s2848,s4944,s1259,s1263,s1222,s9111,s2741,s10276]) ).
cnf(s10661,plain,
( spl2_204
| ~ spl2_78
| ~ spl2_234
| ~ spl2_139
| ~ spl2_17
| ~ spl2_26 ),
inference(rat,[],[s6545,s10587,s6421]) ).
cnf(s10662,plain,
( ~ spl2_217
| spl2_194
| ~ spl2_25
| ~ spl2_94
| ~ spl2_77
| ~ spl2_548 ),
inference(rat,[],[s4442,s4399,s4006,s469,s468]) ).
cnf(s10663,plain,
( spl2_206
| ~ spl2_25
| ~ spl2_94
| ~ spl2_204
| ~ spl2_548
| ~ spl2_120
| ~ spl2_234
| spl2_244
| spl2_202
| ~ spl2_44
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s2744,s6797,s9223,s10502,s1906,s8606,s2978,s330,s6580,s10662,s10514,s1041,s1263,s1222,s6429,s2590,s2741,s10276]) ).
cnf(s10664,plain,
( ~ spl2_132
| spl2_244
| spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2744,s6615,s2457,s416,s6580,s10625,s10630,s1270,s1100,s10663,s9074,s10383,s3047,s394,s4776,s5952,s5038,s1199,s888,s8,s3786,s10280,s2590,s10661,s3478,s230,s6803,s828,s3096,s851,s10660,s10659,s10658,s1259,s91,s10656,s10648,s7,s2741]) ).
cnf(s10665,plain,
( spl2_244
| spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10659,s10660,s10655,s9732,s4929,s4754,s10664,s1259,s7,s10648,s91]) ).
cnf(s10666,plain,
( spl2_140
| ~ spl2_132
| spl2_234
| spl2_748
| spl2_202
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10603,s1270,s10523,s10543,s888,s5027,s2096,s6429,s6492,s5383,s8539,s4798,s1259,s1263,s10276,s2741]) ).
cnf(s10667,plain,
( spl2_204
| ~ spl2_132
| spl2_226
| spl2_234
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s2096,s6429,s5027,s6492,s4193,s6421,s10276,s2741]) ).
cnf(s10668,plain,
( spl2_644
| spl2_92
| spl2_93
| ~ spl2_204
| spl2_234
| ~ spl2_98
| ~ spl2_44 ),
inference(rat,[],[s5952,s9722,s9523,s3897,s4903,s10276]) ).
cnf(s10669,plain,
( spl2_92
| spl2_93
| ~ spl2_178
| ~ spl2_25
| spl2_750
| ~ spl2_132
| spl2_234
| ~ spl2_141
| ~ spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_14
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s1813,s8551,s2744,s2448,s2457,s4389,s10553,s10657,s7572,s4388,s10668,s5937,s9300,s8,s6565,s10280,s6429,s9101,s749,s91,s10667,s859,s2741,s10276]) ).
cnf(s10670,plain,
( ~ spl2_206
| spl2_455
| ~ spl2_92
| ~ spl2_25
| ~ spl2_204
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s10496,s6580,s10603,s10630,s1270]) ).
cnf(s10671,plain,
( ~ spl2_178
| ~ spl2_140
| ~ spl2_132
| spl2_234
| ~ spl2_244
| spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s8,s10538,s10610,s10670,s5383,s9523,s4903,s4388,s888,s4995,s5027,s2096,s10669,s5119,s1263,s5384,s1259,s9101,s6074,s749,s91,s7096,s7340,s10383,s5078,s10667,s859,s10276]) ).
cnf(s10672,plain,
( ~ spl2_132
| spl2_234
| ~ spl2_244
| spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s8,s10538,s10610,s10670,s3786,s888,s5952,s5383,s9523,s851,s5118,s10671,s10383,s9149,s5078,s7340,s10667,s10666,s5384,s1259,s9101,s859,s6074,s749,s91,s10276]) ).
cnf(s10673,plain,
( ~ spl2_208
| ~ spl2_238
| ~ spl2_197
| spl2_455
| ~ spl2_92
| spl2_229
| spl2_226
| ~ spl2_141
| ~ spl2_139
| ~ spl2_44 ),
inference(rat,[],[s7408,s8725,s7752,s2743,s4937,s2744,s435,s1122,s3218,s2741]) ).
cnf(s10674,plain,
( spl2_234
| ~ spl2_244
| spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1270,s10603,s10502,s8551,s10673,s4889,s6421,s5383,s3684,s10551,s6565,s6370,s8511,s4929,s201,s4754,s10672,s749,s6074,s859,s9101,s91,s1263,s5384,s1259,s10276]) ).
cnf(s10677,plain,
( ~ spl2_181
| spl2_221
| spl2_203
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8871,s8961,s6618,s4900,s1041,s1270,s1259]) ).
cnf(s10678,plain,
( spl2_204
| ~ spl2_132
| ~ spl2_234
| spl2_748
| spl2_250
| spl2_202
| ~ spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s9496,s6675,s2573,s8869,s2435,s8844,s10526,s1476,s445,s10677,s1314,s2743,s10408,s4937,s2744,s435,s1122,s3218,s10540,s1963,s230,s6186,s1518,s3476,s4193,s888,s2010,s5119,s7567,s4007,s5027,s4996,s10519,s2096,s1751,s5383,s4939,s6803,s6565,s2101,s6545,s10661,s6421,s10288,s1263,s2741,s10276]) ).
cnf(s10679,plain,
( ~ spl2_175
| spl2_254
| spl2_94 ),
inference(rat,[],[s10209,s2741]) ).
cnf(s10692,plain,
( spl2_278
| ~ spl2_52
| spl2_202 ),
inference(rat,[],[s9787,s2741]) ).
cnf(s10693,plain,
( ~ spl2_52
| spl2_132
| spl2_84 ),
inference(rat,[],[s9786,s10276]) ).
cnf(s10696,plain,
( ~ spl2_703
| spl2_308
| spl2_204 ),
inference(rat,[],[s9762,s2741]) ).
cnf(s10697,plain,
( spl2_14
| spl2_20 ),
inference(rat,[],[s9745,s10276]) ).
cnf(s10698,plain,
( ~ spl2_645
| spl2_308
| spl2_92 ),
inference(rat,[],[s9722,s10276]) ).
cnf(s10699,plain,
( ~ spl2_645
| spl2_346
| spl2_308
| ~ spl2_44 ),
inference(rat,[],[s9721,s10276]) ).
cnf(s10714,plain,
( spl2_234
| spl2_324 ),
inference(rat,[],[s9101,s10276]) ).
cnf(s10715,plain,
( spl2_117
| spl2_178 ),
inference(rat,[],[s9089,s10276]) ).
cnf(s10726,plain,
( spl2_278
| spl2_308
| spl2_15
| spl2_140 ),
inference(rat,[],[s8546,s2741]) ).
cnf(s10729,plain,
( spl2_643
| spl2_31
| spl2_204 ),
inference(rat,[],[s8217,s2741]) ).
cnf(s10735,plain,
( spl2_209
| spl2_301 ),
inference(rat,[],[s7567,s10276]) ).
cnf(s10738,plain,
( ~ spl2_167
| spl2_132
| spl2_84 ),
inference(rat,[],[s7363,s2741]) ).
cnf(s10751,plain,
( spl2_77
| spl2_92 ),
inference(rat,[],[s6429,s10276]) ).
cnf(s10763,plain,
( ~ spl2_587
| spl2_355
| ~ spl2_196 ),
inference(rat,[],[s5522,s10276]) ).
cnf(s10767,plain,
( spl2_278
| spl2_308
| spl2_204
| spl2_226 ),
inference(rat,[],[s5220,s2741]) ).
cnf(s10769,plain,
( ~ spl2_70
| spl2_94
| spl2_132 ),
inference(rat,[],[s5180,s2741]) ).
cnf(s10790,plain,
( ~ spl2_94
| ~ spl2_554
| spl2_110
| spl2_132 ),
inference(rat,[],[s4812,s10276]) ).
cnf(s10791,plain,
( spl2_278
| spl2_140
| ~ spl2_26
| spl2_15 ),
inference(rat,[],[s4798,s2741]) ).
cnf(s10792,plain,
( spl2_278
| spl2_140
| ~ spl2_17
| spl2_15 ),
inference(rat,[],[s4758,s2741]) ).
cnf(s10793,plain,
( spl2_678
| spl2_140
| spl2_250 ),
inference(rat,[],[s4756,s2741]) ).
cnf(s10802,plain,
( spl2_84
| ~ spl2_4
| ~ spl2_98
| ~ spl2_168
| spl2_180 ),
inference(rat,[],[s4323,s2741]) ).
cnf(s10813,plain,
( spl2_308
| spl2_226
| ~ spl2_139
| spl2_204 ),
inference(rat,[],[s4193,s2741]) ).
cnf(s10817,plain,
( spl2_94
| ~ spl2_4
| spl2_110
| spl2_549 ),
inference(rat,[],[s4098,s2741]) ).
cnf(s10818,plain,
( spl2_94
| ~ spl2_4
| spl2_110
| ~ spl2_168
| spl2_180
| spl2_186 ),
inference(rat,[],[s4097,s2741]) ).
cnf(s10820,plain,
( spl2_94
| ~ spl2_4
| spl2_110
| ~ spl2_168
| spl2_180 ),
inference(rat,[],[s4084,s2741]) ).
cnf(s10828,plain,
( spl2_96
| ~ spl2_4
| spl2_94
| ~ spl2_98 ),
inference(rat,[],[s4065,s2741]) ).
cnf(s10830,plain,
( spl2_301
| ~ spl2_78
| spl2_204 ),
inference(rat,[],[s4021,s10276,s2741]) ).
cnf(s10836,plain,
( spl2_20
| ~ spl2_107
| spl2_149 ),
inference(rat,[],[s3955,s10276]) ).
cnf(s10849,plain,
( ~ spl2_105
| spl2_149
| ~ spl2_47
| spl2_646 ),
inference(rat,[],[s3918,s10276]) ).
cnf(s10856,plain,
( spl2_29
| ~ spl2_4
| spl2_31
| spl2_147 ),
inference(rat,[],[s3902,s10276]) ).
cnf(s10857,plain,
( ~ spl2_107
| spl2_149
| ~ spl2_47
| spl2_646 ),
inference(rat,[],[s3901,s10276]) ).
cnf(s10921,plain,
( spl2_92
| ~ spl2_147
| spl2_84 ),
inference(rat,[],[s3465,s2741]) ).
cnf(s10938,plain,
( spl2_29
| spl2_40
| spl2_149
| ~ spl2_454 ),
inference(rat,[],[s3265,s10276]) ).
cnf(s10962,plain,
( spl2_172
| spl2_173 ),
inference(rat,[],[s2744,s2741]) ).
cnf(s10963,plain,
( spl2_170
| spl2_171 ),
inference(rat,[],[s2743,s2741]) ).
cnf(s10964,plain,
( spl2_168
| spl2_169 ),
inference(rat,[],[s2742,s2741]) ).
cnf(s10986,plain,
( ~ spl2_279
| spl2_31
| spl2_308
| spl2_29 ),
inference(rat,[],[s1880,s10276]) ).
cnf(s10987,plain,
( ~ spl2_279
| ~ spl2_290
| spl2_31
| spl2_102
| spl2_308 ),
inference(rat,[],[s1879,s10276]) ).
cnf(s11005,plain,
( ~ spl2_230
| spl2_140
| spl2_20 ),
inference(rat,[],[s1644,s10276]) ).
cnf(s11007,plain,
( ~ spl2_143
| spl2_31
| spl2_20
| spl2_29 ),
inference(rat,[],[s1622,s10276]) ).
cnf(s11008,plain,
( ~ spl2_70
| spl2_308
| spl2_29 ),
inference(rat,[],[s1621,s10276]) ).
cnf(s11009,plain,
( ~ spl2_71
| spl2_308
| spl2_29 ),
inference(rat,[],[s1619,s10276]) ).
cnf(s11017,plain,
( spl2_144
| ~ spl2_107
| ~ spl2_40
| ~ spl2_29
| ~ spl2_149 ),
inference(rat,[],[s1470,s10276]) ).
cnf(s11032,plain,
( ~ spl2_194
| ~ spl2_249
| ~ spl2_349
| ~ spl2_209
| ~ spl2_671
| ~ spl2_204
| ~ spl2_139
| ~ spl2_44 ),
inference(rat,[],[s4441,s10962,s7093,s2457]) ).
cnf(s11033,plain,
( ~ spl2_203
| ~ spl2_231
| ~ spl2_349
| ~ spl2_209
| spl2_455
| ~ spl2_671
| ~ spl2_94
| ~ spl2_25
| ~ spl2_548
| ~ spl2_77
| ~ spl2_204
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s5704,s10662,s11032,s8556,s10603]) ).
cnf(s11034,plain,
( ~ spl2_132
| ~ spl2_234
| ~ spl2_244
| spl2_250
| spl2_202
| ~ spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s7545,s5402,s5595,s8556,s1906,s10502,s2978,s1270,s330,s11033,s733,s6919,s5952,s10698,s230,s3897,s3476,s4388,s10735,s3782,s10519,s2848,s4085,s7629,s6993,s4776,s9300,s10383,s3478,s10751,s5078,s707,s1817,s2590,s10678,s5384,s1259,s2614]) ).
cnf(s11035,plain,
( ~ spl2_203
| spl2_703
| ~ spl2_209
| spl2_455
| ~ spl2_195
| ~ spl2_92
| ~ spl2_98
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s3218,s912,s6580,s2454,s2792,s10963,s4937,s10962,s7710]) ).
cnf(s11036,plain,
( spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1968,s307,s4809,s6681,s1588,s8869,s8844,s1476,s445,s10677,s3094,s1847,s10729,s5575,s226,s1906,s1996,s2978,s6807,s330,s1272,s11035,s7711,s230,s6186,s1538,s3476,s5057,s9760,s10735,s3782,s3684,s4889,s1751,s6717,s5383,s8,s5119,s2101,s6545,s271,s4996,s6421,s1496,s10288,s2096,s707,s6565,s9732,s4929,s11034,s10674,s5384,s10665,s10656,s1259,s7,s10648,s91]) ).
cnf(s11037,plain,
( ~ spl2_203
| spl2_363
| ~ spl2_644
| ~ spl2_324
| ~ spl2_204
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s1813,s8551,s10962,s2448,s2457,s4389,s10553,s10751,s2096,s4995,s4388]) ).
cnf(s11038,plain,
( spl2_208
| ~ spl2_309
| ~ spl2_47
| spl2_203
| spl2_363
| ~ spl2_644
| spl2_299
| ~ spl2_204
| spl2_278
| spl2_93
| ~ spl2_98
| ~ spl2_75
| ~ spl2_44
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1347,s8646,s10445,s10424,s445,s230,s10677,s1906,s6082,s2978,s330]) ).
cnf(s11039,plain,
( spl2_234
| ~ spl2_204
| ~ spl2_140
| spl2_278
| ~ spl2_202
| ~ spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_14
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5595,s7545,s11038,s888,s604,s1417,s1222,s5402,s3673,s7752,s10963,s9235,s1649,s2978,s330,s11037,s8,s10280,s2096,s2641,s4995,s7572,s4944,s309,s4388,s201,s851,s4295,s6370,s9523,s9720,s749,s6074,s859,s10714,s91,s825,s9149,s7340]) ).
cnf(s11040,plain,
( spl2_208
| ~ spl2_203
| ~ spl2_349
| ~ spl2_645
| ~ spl2_209
| ~ spl2_671
| ~ spl2_77
| spl2_193
| ~ spl2_204
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s11032,s6580,s9719,s469]) ).
cnf(s11041,plain,
( ~ spl2_203
| ~ spl2_349
| ~ spl2_645
| ~ spl2_671
| spl2_363
| ~ spl2_94
| ~ spl2_548
| ~ spl2_234
| spl2_193
| ~ spl2_25
| ~ spl2_204
| ~ spl2_231
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s10333,s4441,s6797,s2448,s11040,s11033,s10751,s2590,s10735,s1845]) ).
cnf(s11042,plain,
( ~ spl2_178
| spl2_244
| spl2_246
| spl2_306
| spl2_206
| spl2_203
| ~ spl2_308
| ~ spl2_645
| spl2_363
| ~ spl2_18
| ~ spl2_132
| spl2_473
| spl2_212
| spl2_193
| ~ spl2_204
| ~ spl2_140
| ~ spl2_75 ),
inference(rat,[],[s2448,s1508,s9719,s3377,s5402,s230,s1417,s2394,s309]) ).
cnf(s11043,plain,
( spl2_244
| spl2_246
| spl2_306
| spl2_206
| spl2_203
| ~ spl2_308
| ~ spl2_645
| ~ spl2_671
| spl2_363
| ~ spl2_18
| ~ spl2_132
| ~ spl2_234
| spl2_212
| spl2_193
| ~ spl2_204
| ~ spl2_140
| ~ spl2_75
| ~ spl2_139
| ~ spl2_14 ),
inference(rat,[],[s10456,s10963,s10962,s7968,s4441,s2448,s1906,s230,s3096,s11042,s8606,s1222,s9111,s10735,s1845]) ).
cnf(s11044,plain,
( ~ spl2_98
| spl2_84
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s9354,s2614,s8513,s11043,s2978,s5243,s1270,s330,s11041,s6919,s10698,s3897,s4388,s1845,s4085,s5937,s4776,s7096,s8,s9300,s4929,s3478,s10280,s707,s1817,s2590,s11039,s372,s576,s10383,s2738,s394,s7340,s402,s6421,s6545,s10792,s733,s10493,s11036,s1259,s10648,s91]) ).
cnf(s11045,plain,
( ~ spl2_203
| ~ spl2_226
| ~ spl2_309
| ~ spl2_92
| ~ spl2_195
| ~ spl2_324
| spl2_299
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s10603,s8551,s6599,s3218,s10408,s10962,s1119,s6186]) ).
cnf(s11046,plain,
( spl2_203
| spl2_121
| spl2_98
| ~ spl2_75
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s10554,s1270,s364,s1102,s583]) ).
cnf(s11047,plain,
( spl2_204
| ~ spl2_203
| spl2_234
| spl2_299
| ~ spl2_110
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s11045,s10813,s888,s2822,s3000,s10751,s6492,s6421,s10288,s10714]) ).
cnf(s11048,plain,
( ~ spl2_301
| ~ spl2_278
| ~ spl2_113
| ~ spl2_132 ),
inference(rat,[],[s4911,s8711]) ).
cnf(s11049,plain,
( ~ spl2_196
| ~ spl2_191
| ~ spl2_204
| ~ spl2_309
| ~ spl2_17
| spl2_356
| spl2_455
| spl2_93
| spl2_250
| ~ spl2_139
| ~ spl2_44
| ~ spl2_203
| ~ spl2_26 ),
inference(rat,[],[s7271,s1964,s528,s6677,s5588,s8535,s8537,s8871,s10525,s7762,s10962,s4937,s8868,s10963,s4151,s2131,s428,s5329,s3989,s5704,s10547]) ).
cnf(s11050,plain,
( ~ spl2_278
| ~ spl2_309
| ~ spl2_132
| spl2_202
| ~ spl2_204
| spl2_234
| spl2_93
| spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s11049,s10603,s2115,s5383,s2650,s5384,s5153,s2373,s10232,s230,s3476,s4007,s11048,s1751,s2113,s583,s11046,s155,s5186,s2017,s4776,s186,s1259,s9118]) ).
cnf(s11051,plain,
( ~ spl2_301
| ~ spl2_132
| spl2_816
| spl2_98 ),
inference(rat,[],[s7859,s6070]) ).
cnf(s11052,plain,
( ~ spl2_132
| spl2_202
| ~ spl2_178
| ~ spl2_77
| spl2_234
| spl2_299
| spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s2346,s5343,s2555,s2576,s4411,s8870,s7298,s1592,s2231,s5350,s9176,s6677,s307,s2959,s2435,s9175,s5392,s2196,s526,s1588,s10445,s2115,s2650,s5153,s2373,s10232,s230,s3476,s4007,s11051,s11050,s888,s8196,s309,s9118,s5118,s558,s1751,s2113,s583,s7953,s11047,s11046,s155,s5186,s2017,s4776,s1259,s186]) ).
cnf(s11053,plain,
( spl2_644
| spl2_132
| spl2_92
| ~ spl2_204
| spl2_234
| spl2_93
| ~ spl2_44 ),
inference(rat,[],[s5952,s10698,s9379,s4811,s4903]) ).
cnf(s11054,plain,
( ~ spl2_644
| spl2_471
| ~ spl2_204
| ~ spl2_203
| ~ spl2_324
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s2641,s11037,s4388]) ).
cnf(s11056,plain,
( ~ spl2_194
| spl2_278
| ~ spl2_204
| ~ spl2_203
| ~ spl2_139
| ~ spl2_44 ),
inference(rat,[],[s2131,s8200,s10963,s10962,s3220,s2457]) ).
cnf(s11057,plain,
( spl2_92
| spl2_234
| spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s6677,s5588,s2435,s8535,s5392,s8537,s8868,s1588,s8871,s4151,s10445,s10525,s2115,s7762,s2650,s10962,s2373,s1748,s230,s8945,s7106,s3377,s10963,s1508,s10430,s2131,s10630,s468,s5329,s10532,s3989,s5704,s11056,s10383,s394,s3076,s888,s402,s10493,s2773,s8196,s11052,s309,s9118,s11053,s11054,s4944,s1199,s8539,s8,s6492,s10280,s10751,s2916,s5118,s10714,s364,s1102,s1751,s2113,s11047,s11046,s155,s5186,s1259,s9129,s2017,s4776,s583,s91,s3803,s186]) ).
cnf(s11058,plain,
( spl2_202
| ~ spl2_132
| ~ spl2_309
| spl2_301
| ~ spl2_204
| spl2_234
| spl2_93
| spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s5588,s6677,s8535,s2435,s8537,s5392,s8871,s8868,s1588,s9042,s4151,s10445,s2115,s2650,s5329,s2373,s3989,s5704,s230,s11056,s3476,s11050,s4007,s1751,s2113,s583,s11046,s155,s5186,s2017,s4776,s186,s1259]) ).
cnf(s11059,plain,
( ~ spl2_132
| ~ spl2_309
| spl2_301
| ~ spl2_204
| spl2_234
| spl2_93
| spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5588,s6677,s8535,s2435,s8537,s5392,s8871,s8868,s1588,s10525,s4151,s10445,s2115,s2650,s7762,s2373,s10962,s230,s1748,s3377,s8945,s10430,s1508,s7106,s10963,s10630,s468,s2131,s5329,s10383,s10532,s3989,s5704,s394,s11056,s3076,s402,s10493,s2773,s11058,s9118,s2916,s364,s1102,s1751,s2113,s583,s11046,s155,s5186,s2017,s4776,s186,s1259]) ).
cnf(s11060,plain,
( spl2_234
| spl2_98
| spl2_84
| ~ spl2_139
| ~ spl2_44
| ~ spl2_16
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10555,s5078,s5427,s10232,s5329,s230,s5704,s3476,s867,s2457,s4007,s10962,s10493,s6186,s7710,s9379,s5057,s9760,s11059,s891,s888,s1364,s2822,s4995,s3000,s118,s2096,s11057,s11047,s11046,s2113,s155,s5186,s1259,s5118,s9129,s2017,s4776,s186,s583,s91,s3803]) ).
cnf(s11061,plain,
( ~ spl2_132
| ~ spl2_203
| ~ spl2_303
| ~ spl2_115
| ~ spl2_178
| spl2_455
| spl2_202
| ~ spl2_278
| spl2_204
| spl2_356
| spl2_299
| spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_17
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s9510,s9263,s9052,s8081,s8871,s8869,s879,s6538,s8844,s5374,s7255,s1476,s10526,s1170,s2115,s7955,s2131,s2650,s5393,s10963,s1735,s2373,s4937,s10408,s6403,s230,s10962,s3476,s1119,s6186,s4007,s10813,s888,s11048,s8196,s309,s9118,s5118,s10288,s6421]) ).
cnf(s11062,plain,
( ~ spl2_301
| ~ spl2_178
| ~ spl2_18
| ~ spl2_278
| ~ spl2_234
| ~ spl2_40 ),
inference(rat,[],[s4889,s6717,s3684,s9734,s4944,s10519]) ).
cnf(s11063,plain,
( spl2_132
| ~ spl2_191
| spl2_301
| ~ spl2_115
| ~ spl2_18
| spl2_455
| ~ spl2_278
| ~ spl2_195
| spl2_356
| spl2_299
| ~ spl2_139
| ~ spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4900,s7909,s573,s5636,s8862,s4809,s1588,s8869,s8844,s5377,s1476,s6186,s5057,s5118]) ).
cnf(s11064,plain,
( spl2_204
| ~ spl2_234
| spl2_299
| spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s11061,s330,s11063,s2115,s2650,s5393,s2373,s230,s3476,s4007,s11062,s1292,s506,s1199,s8,s271,s1496,s5383,s10493,s6545,s6421,s10288,s1259,s4776,s5458,s186,s1751,s2102,s583]) ).
cnf(s11065,plain,
( spl2_455
| ~ spl2_191
| ~ spl2_309
| ~ spl2_203
| ~ spl2_204
| spl2_356
| spl2_250
| spl2_93
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26 ),
inference(rat,[],[s11049,s10603]) ).
cnf(s11066,plain,
( ~ spl2_455
| ~ spl2_178
| spl2_748
| ~ spl2_234
| spl2_15
| ~ spl2_17 ),
inference(rat,[],[s10792,s4944,s5383,s2848]) ).
cnf(s11067,plain,
( ~ spl2_278
| ~ spl2_203
| spl2_455
| ~ spl2_178
| ~ spl2_18
| ~ spl2_204
| ~ spl2_234
| spl2_93
| spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s2650,s2373,s2115,s230,s11065,s3476,s888,s4007,s11062,s5952,s10493,s421,s1751,s2102,s583]) ).
cnf(s11068,plain,
( ~ spl2_132
| ~ spl2_308
| ~ spl2_178
| spl2_98 ),
inference(rat,[],[s8196,s309,s9118]) ).
cnf(s11069,plain,
( ~ spl2_120
| spl2_301
| spl2_473
| ~ spl2_140
| spl2_278
| ~ spl2_203
| spl2_455
| ~ spl2_178
| ~ spl2_204
| spl2_356
| spl2_250
| spl2_93
| spl2_98
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s8547,s1904,s6677,s8410,s5262,s1476,s9519,s11068,s888,s11065,s10383,s2115,s5078,s2650,s2394,s2373]) ).
cnf(s11070,plain,
( ~ spl2_132
| spl2_206
| spl2_212
| ~ spl2_112
| spl2_194
| ~ spl2_203
| spl2_455
| ~ spl2_178
| ~ spl2_204
| spl2_356
| spl2_250
| spl2_93
| ~ spl2_119
| spl2_98
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s4385,s10964,s1298,s695,s445,s1101,s11065,s1508,s888,s10532,s11068,s9118,s186,s583]) ).
cnf(s11071,plain,
( ~ spl2_191
| ~ spl2_226
| spl2_132
| ~ spl2_208
| spl2_194
| spl2_455
| ~ spl2_100
| ~ spl2_77
| ~ spl2_204
| spl2_356
| spl2_299
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17 ),
inference(rat,[],[s9632,s8871,s4809,s5350,s5862,s1588,s6677,s307,s8844,s5262,s1476,s5118]) ).
cnf(s11072,plain,
( ~ spl2_203
| ~ spl2_100
| ~ spl2_178
| ~ spl2_18
| ~ spl2_204
| ~ spl2_234
| spl2_299
| ~ spl2_119
| spl2_98
| ~ spl2_75
| ~ spl2_139
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s1507,s1298,s695,s445,s11071,s1401,s2029,s10963,s4937,s10962,s1119,s9519,s11070,s10630,s360,s670,s10383,s394,s402,s4007,s3377,s3476,s230,s11069,s469,s10519,s5704,s9111,s4944,s7340,s11056,s10792,s11067,s10603,s5118,s421,s1751,s2102,s583,s10751,s2590,s11066,s5458,s186]) ).
cnf(s11073,plain,
( spl2_84
| ~ spl2_44
| spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s2088,s155,s2645,s11046,s330,s11072,s120,s226,s1199,s8,s10280,s2590,s11064,s11060,s9129,s10250,s2017,s233,s4776,s583,s186,s11044,s91,s3803,s1259,s7,s10648]) ).
cnf(s11074,plain,
( ~ spl2_203
| ~ spl2_238
| ~ spl2_324
| spl2_455
| ~ spl2_92
| ~ spl2_25
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26 ),
inference(rat,[],[s7408,s468,s5329,s5704,s3218,s8551,s10603]) ).
cnf(s11075,plain,
( spl2_234
| spl2_202
| ~ spl2_244
| spl2_204
| ~ spl2_92
| ~ spl2_25
| ~ spl2_712
| ~ spl2_98
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s5402,s7752,s1417,s10963,s5183,s4937,s1948,s10962,s10673,s435,s8551,s1122,s10502,s485,s2978,s1270,s330,s11074,s4889,s3684,s2822,s8511,s10813,s859,s10714,s1263,s5383,s5384,s1259,s6545,s6421,s8,s271,s1496]) ).
cnf(s11076,plain,
( ~ spl2_191
| ~ spl2_643
| ~ spl2_226
| spl2_455
| spl2_356
| spl2_299
| spl2_93
| ~ spl2_346
| spl2_132
| ~ spl2_139 ),
inference(rat,[],[s1968,s307,s4809,s6681,s1588,s8869,s8844,s1476]) ).
cnf(s11077,plain,
( spl2_204
| ~ spl2_178
| spl2_29
| spl2_132
| ~ spl2_98
| ~ spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4153,s656,s8868,s10677,s1298,s6627,s445,s11076,s10729,s226,s1996,s6807,s330,s1272,s11035,s5057,s9760,s10735,s11062,s11075,s8,s271,s5383,s1496,s5384,s1751,s10493,s2031,s2101,s6545,s6421,s10288,s1259,s4754,s10383,s5119,s1565,s4996,s2096,s6565,s4929,s2738]) ).
cnf(s11078,plain,
( spl2_15
| ~ spl2_17
| ~ spl2_26
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s10551,s2590,s11077,s6565,s9732,s4929,s4754,s394,s6718,s10521,s161,s9419,s11073,s10648,s10609,s7,s1259,s28,s27,s10697,s10575]) ).
cnf(s11079,plain,
( spl2_139
| ~ spl2_120
| spl2_44
| ~ spl2_98
| ~ spl2_558
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10456,s10963,s10962,s3355,s912,s8200,s10268,s1164,s428,s1690,s2078,s4010,s6545,s4171,s10511,s10394,s10462,s10232,s1222,s1263,s5153,s805,s724,s1259,s4929,s10486,s10715,s926,s4170]) ).
cnf(s11080,plain,
( ~ spl2_203
| spl2_455
| ~ spl2_333
| ~ spl2_139
| spl2_44
| ~ spl2_558 ),
inference(rat,[],[s7395,s2078,s10603,s4171]) ).
cnf(s11081,plain,
( spl2_44
| ~ spl2_98
| ~ spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s435,s10962,s1122,s10456,s2078,s10963,s7395,s8725,s1906,s10502,s2978,s1270,s330,s11080,s2848,s1263,s6074,s4939,s10493,s1926,s1948,s10268,s6545,s1690,s10585,s452,s11079,s230,s3096,s10715,s4929,s91,s926,s10486,s10491,s1259,s4170,s5995]) ).
cnf(s11082,plain,
( ~ spl2_206
| spl2_234
| ~ spl2_304
| spl2_139
| ~ spl2_44
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4633,s10250,s2519,s504,s2025,s4986,s7143,s201,s6718,s9419,s10631]) ).
cnf(s11083,plain,
( spl2_234
| ~ spl2_304
| ~ spl2_194
| spl2_139
| ~ spl2_44
| ~ spl2_92
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s9734,s6599,s8,s10962,s271,s9223,s10502,s10498,s1041,s11082,s8551,s10714,s805,s1259,s5153,s724,s3218]) ).
cnf(s11084,plain,
( spl2_139
| ~ spl2_44
| ~ spl2_98
| ~ spl2_558
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s6803,s4944,s4929,s10519,s10511,s10735,s2454,s10963,s4937,s10962,s8200,s7711,s6601,s923,s9734,s8,s271,s1496,s2590,s7720,s11083,s912,s1142,s3218,s4171,s10462,s1222,s1263,s5153,s805,s724,s1259,s4170]) ).
cnf(s11085,plain,
( ~ spl2_203
| ~ spl2_204
| ~ spl2_139
| ~ spl2_44
| ~ spl2_92
| ~ spl2_558 ),
inference(rat,[],[s10333,s1813,s2457,s10496,s4171]) ).
cnf(s11086,plain,
( spl2_84
| ~ spl2_18
| spl2_93
| spl2_206
| ~ spl2_309
| ~ spl2_278
| ~ spl2_132
| spl2_234
| ~ spl2_204
| ~ spl2_139
| ~ spl2_44
| ~ spl2_98
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10538,s8539,s10383,s10543,s5078,s5384,s749,s10658,s91,s1259,s10714,s859,s6074,s10493]) ).
cnf(s11087,plain,
( ~ spl2_18
| spl2_93
| spl2_4
| spl2_206
| ~ spl2_309
| ~ spl2_278
| ~ spl2_132
| spl2_234
| ~ spl2_204
| ~ spl2_139
| ~ spl2_44
| ~ spl2_98
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149 ),
inference(rat,[],[s6718,s9419,s11086]) ).
cnf(s11088,plain,
( ~ spl2_98
| ~ spl2_15
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s11087,s8,s271,s10498,s5118,s1270,s1545,s11085,s10493,s888,s9791,s5027,s172,s4754,s4903,s8511,s4388,s859,s4995,s2590,s452,s11084,s2096,s11081,s4170,s1259,s5995]) ).
cnf(s11089,plain,
( spl2_234
| ~ spl2_333
| ~ spl2_278
| spl2_44
| spl2_123
| spl2_98
| ~ spl2_558
| ~ spl2_17
| ~ spl2_14
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s11080,s5383,s11046,s5384,s155,s10583,s5186,s10440,s91,s161]) ).
cnf(s11090,plain,
( spl2_203
| spl2_123
| spl2_98
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s2088,s155,s2645,s11046,s330,s91,s161]) ).
cnf(s11091,plain,
( spl2_44
| ~ spl2_204
| spl2_123
| spl2_98
| ~ spl2_558
| ~ spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s5383,s5458,s11080,s11089,s10268,s6545,s1690,s10585,s186,s10440,s91,s161,s11090]) ).
cnf(s11092,plain,
( ~ spl2_17
| ~ spl2_26
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11067,s5383,s1199,s5458,s8,s11057,s10280,s11056,s11085,s11091,s4171,s11090,s5118,s452,s9129,s10440,s2017,s91,s3803,s4776,s161,s583,s186,s11088,s5995,s11078,s1259,s28,s27,s10697,s10575]) ).
cnf(s11093,plain,
( spl2_139
| spl2_17
| ~ spl2_14
| spl2_7
| spl2_4 ),
inference(rat,[],[s8,s271,s19,s1496,s6807,s3169,s805,s1273,s1259,s28,s22]) ).
cnf(s11094,plain,
( ~ spl2_748
| ~ spl2_18
| ~ spl2_31
| ~ spl2_40 ),
inference(rat,[],[s9734,s6115,s5384]) ).
cnf(s11095,plain,
( spl2_140
| spl2_346
| spl2_229
| ~ spl2_208
| ~ spl2_55
| ~ spl2_18
| ~ spl2_141
| ~ spl2_278
| ~ spl2_207
| spl2_226
| ~ spl2_139
| spl2_17
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s4889,s7408,s3684,s8725,s7037,s7752,s10963,s4937,s10962,s2135,s879,s2448,s4085,s2642,s2974,s10715,s1926,s9734,s5383,s11094,s22]) ).
cnf(s11096,plain,
( ~ spl2_178
| ~ spl2_140
| spl2_346
| ~ spl2_132
| ~ spl2_208
| ~ spl2_278
| ~ spl2_207
| ~ spl2_31 ),
inference(rat,[],[s10333,s2135,s2456,s879,s8703,s2448,s2460,s2642]) ).
cnf(s11097,plain,
( ~ spl2_132
| ~ spl2_75
| ~ spl2_208
| ~ spl2_55
| ~ spl2_18
| ~ spl2_141
| ~ spl2_278
| ~ spl2_308
| ~ spl2_207
| spl2_226
| spl2_234
| ~ spl2_139
| spl2_17
| ~ spl2_14
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s10333,s2135,s2456,s879,s8890,s2448,s10232,s5937,s230,s1199,s3096,s11096,s11095,s6645,s5027,s7096,s22,s749]) ).
cnf(s11098,plain,
( spl2_307
| ~ spl2_238
| ~ spl2_787
| spl2_229
| ~ spl2_208
| spl2_455
| ~ spl2_141
| ~ spl2_207 ),
inference(rat,[],[s10334,s4937,s8725,s10962,s7408,s2135,s9794,s879]) ).
cnf(s11099,plain,
( spl2_140
| ~ spl2_787
| ~ spl2_301
| spl2_229
| ~ spl2_208
| ~ spl2_196
| spl2_455
| ~ spl2_18
| ~ spl2_141
| ~ spl2_278
| ~ spl2_207
| spl2_44
| ~ spl2_25
| ~ spl2_26
| ~ spl2_40 ),
inference(rat,[],[s7408,s468,s5329,s9222,s10962,s4948,s2641,s2448,s11098,s1122,s4889,s2078,s3684,s7395,s9734,s10268]) ).
cnf(s11100,plain,
( ~ spl2_75
| ~ spl2_196
| ~ spl2_55
| ~ spl2_18
| ~ spl2_278
| ~ spl2_308
| ~ spl2_207
| spl2_226
| spl2_234
| ~ spl2_16
| spl2_44
| ~ spl2_139
| spl2_17
| ~ spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s362,s7347,s10430,s10250,s5427,s5093,s867,s3684,s10962,s4889,s2135,s11098,s9794,s879,s2448,s2641,s4944,s11099,s6937,s9732,s5131,s201,s11097,s749,s10383,s1988,s5118,s2756,s1263,s10493,s5383,s11094,s22,s8551,s10714]) ).
cnf(s11101,plain,
( spl2_140
| ~ spl2_787
| ~ spl2_301
| ~ spl2_208
| ~ spl2_196
| spl2_455
| ~ spl2_18
| ~ spl2_141
| ~ spl2_278
| ~ spl2_207
| spl2_44
| ~ spl2_25
| ~ spl2_26
| ~ spl2_14
| ~ spl2_40 ),
inference(rat,[],[s11099,s1948]) ).
cnf(s11103,plain,
( spl2_169
| spl2_356
| spl2_132
| spl2_455
| ~ spl2_191
| ~ spl2_207
| spl2_299
| ~ spl2_139 ),
inference(rat,[],[s8844,s1588,s1902,s4809,s10964]) ).
cnf(s11104,plain,
( ~ spl2_278
| ~ spl2_207
| spl2_226
| spl2_234
| ~ spl2_203
| spl2_204
| ~ spl2_16
| spl2_44
| ~ spl2_26
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s8844,s8869,s8870,s6404,s4387,s9356,s10238,s8646,s11103,s1751,s1376,s5252,s2641,s4944,s11101,s6937,s9732,s5131,s201,s6718,s9419,s91,s11100,s8551,s10603,s5383,s11094,s1770,s9062,s2855,s6807,s7024,s19,s8,s271,s1496,s1263,s10493,s27,s10383,s1988,s22,s28,s1259,s5118,s2756,s10714,s10813,s11093,s11092,s10697,s10575]) ).
cnf(s11105,plain,
( spl2_208
| ~ spl2_117
| ~ spl2_455
| ~ spl2_140
| spl2_278
| ~ spl2_203
| ~ spl2_98 ),
inference(rat,[],[s8394,s10962,s1164,s8200,s912,s1142]) ).
cnf(s11106,plain,
( spl2_84
| ~ spl2_455
| spl2_250
| ~ spl2_19
| ~ spl2_307
| ~ spl2_301
| ~ spl2_132
| ~ spl2_140
| spl2_278
| ~ spl2_33
| ~ spl2_203
| spl2_44
| ~ spl2_98 ),
inference(rat,[],[s10333,s6615,s4948,s416,s2641,s5595,s2448,s11105,s10715,s6137,s10279,s10280]) ).
cnf(s11107,plain,
( ~ spl2_84
| ~ spl2_132
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s6718,s9419]) ).
cnf(s11108,plain,
( ~ spl2_19
| spl2_84
| ~ spl2_307
| ~ spl2_301
| ~ spl2_132
| ~ spl2_140
| spl2_278
| ~ spl2_33
| ~ spl2_324
| ~ spl2_203
| spl2_204
| spl2_44
| ~ spl2_98
| ~ spl2_139
| ~ spl2_503 ),
inference(rat,[],[s5595,s8556,s8551,s10603,s6137,s11106,s10280,s3076,s1496,s271,s733,s8711]) ).
cnf(s11109,plain,
( spl2_208
| ~ spl2_455
| ~ spl2_169
| ~ spl2_677
| ~ spl2_55
| spl2_346
| ~ spl2_140
| spl2_278
| ~ spl2_203
| ~ spl2_98
| spl2_93 ),
inference(rat,[],[s5386,s5381,s8871,s8870,s7075,s4387,s6898,s10238,s8646,s2642,s10962,s10715,s8200,s11105,s1142,s1770]) ).
cnf(s11110,plain,
( ~ spl2_363
| ~ spl2_18
| spl2_346
| spl2_750 ),
inference(rat,[],[s1199,s5937,s2642]) ).
cnf(s11111,plain,
( spl2_234
| ~ spl2_203
| spl2_204
| spl2_15
| spl2_44
| ~ spl2_98
| ~ spl2_26
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s10603,s11109,s8551,s2448,s11110,s4390,s1770,s9062,s6807,s7024,s19,s8,s11108,s11107,s5027,s7096,s4389,s4388,s201,s4295,s6370,s9720,s10791,s11104,s9165,s10813,s6074,s859,s10714,s27,s2916,s1259,s5118,s2756,s11093,s10697,s10575,s11092,s13]) ).
cnf(s11112,plain,
( spl2_208
| ~ spl2_205
| spl2_140
| ~ spl2_120
| ~ spl2_209
| ~ spl2_132
| ~ spl2_470
| spl2_455
| spl2_250
| spl2_237
| spl2_204
| ~ spl2_98
| spl2_299
| spl2_17
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s469,s9222,s10751,s10962,s6137,s4937,s9165,s10963,s1963,s7033,s10540]) ).
cnf(s11113,plain,
( spl2_307
| ~ spl2_208
| spl2_301
| ~ spl2_55
| ~ spl2_234 ),
inference(rat,[],[s10456,s10962,s10963,s6918,s7030,s879,s10735]) ).
cnf(s11114,plain,
( ~ spl2_363
| spl2_750
| ~ spl2_132
| ~ spl2_18
| ~ spl2_31 ),
inference(rat,[],[s1199,s3158,s5937,s5512]) ).
cnf(s11115,plain,
( ~ spl2_208
| spl2_363
| spl2_301
| ~ spl2_55
| ~ spl2_234 ),
inference(rat,[],[s2448,s11113]) ).
cnf(s11116,plain,
( ~ spl2_132
| ~ spl2_55
| spl2_250
| ~ spl2_18
| spl2_78
| ~ spl2_278
| ~ spl2_234
| spl2_204
| spl2_44
| ~ spl2_98
| ~ spl2_139
| spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5427,s9719,s1041,s558,s9218,s2389,s1993,s1199,s2460,s11112,s1122,s8703,s2078,s2447,s7661,s3416,s879,s78,s6918,s10751,s10962,s6137,s4937,s9165,s10963,s1963,s155,s7033,s10540,s6082,s2088,s11115,s11114,s230,s3476,s3897,s4007,s4388,s10735,s3702,s91,s10519,s11107,s4939,s7096,s2756,s10493,s6387,s5383,s11094,s22,s1259,s2850]) ).
cnf(s11117,plain,
( ~ spl2_278
| ~ spl2_234
| spl2_204
| ~ spl2_16
| spl2_44
| ~ spl2_98
| spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s5431,s8871,s10964,s7075,s6756,s2448,s8081,s6675,s7033,s7030,s8869,s10963,s8844,s4937,s8870,s10962,s6978,s7119,s9760,s10735,s11062,s9732,s4754,s11116,s1770,s2850,s5383,s6807,s7024,s11094,s19,s8,s271,s1496,s10587,s10493,s1259,s28,s27,s22,s5118,s2756,s11093]) ).
cnf(s11118,plain,
( spl2_208
| ~ spl2_120
| ~ spl2_117
| ~ spl2_202
| ~ spl2_145
| spl2_278
| ~ spl2_203
| spl2_44
| ~ spl2_98 ),
inference(rat,[],[s2519,s7464,s1501,s10962,s1164,s8200,s1906,s912,s1142]) ).
cnf(s11119,plain,
( ~ spl2_19
| spl2_84
| ~ spl2_132
| spl2_197
| ~ spl2_140
| spl2_278
| ~ spl2_234
| ~ spl2_203
| spl2_204
| spl2_44
| ~ spl2_98
| ~ spl2_139
| spl2_17
| ~ spl2_14 ),
inference(rat,[],[s2078,s3989,s8302,s2131,s10963,s4937,s10962,s1119,s10813,s888,s9165,s6137,s5595,s11118,s8556,s230,s10603,s3096,s10715,s6601,s1496,s10279,s10280,s271,s10288,s733,s91]) ).
cnf(s11120,plain,
( ~ spl2_132
| spl2_197
| ~ spl2_140
| spl2_278
| ~ spl2_234
| ~ spl2_203
| spl2_204
| spl2_44
| ~ spl2_98
| spl2_17
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s463,s4944,s11105,s2848,s4937,s10962,s8200,s10963,s1142,s7033,s11115,s10735,s2850,s1845,s6807,s11114,s19,s8,s11119,s11107,s7096,s27,s22,s11093]) ).
cnf(s11121,plain,
( ~ spl2_203
| spl2_204
| spl2_15
| spl2_44
| ~ spl2_98
| ~ spl2_26
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s6691,s4055,s9593,s1501,s10280,s271,s8302,s8298,s8,s10963,s19,s4937,s6807,s10962,s6937,s1119,s9795,s5057,s10735,s10519,s2848,s4944,s926,s6370,s9732,s201,s11120,s6545,s10791,s11117,s11111,s5118,s2756,s11093,s10697,s10575,s11092,s13,s10288]) ).
cnf(s11122,plain,
( spl2_234
| ~ spl2_191
| ~ spl2_19
| spl2_347
| spl2_204
| spl2_44
| ~ spl2_98
| ~ spl2_139
| spl2_17
| ~ spl2_14
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s5805,s8869,s6721,s4555,s604,s1500,s10232,s9464,s230,s2095,s3096,s1497,s10279,s91,s11107,s5375,s201,s1393,s6370,s10813,s9523,s6074,s859,s5118,s2756,s10493,s1496,s271]) ).
cnf(s11123,plain,
( ~ spl2_169
| ~ spl2_363
| ~ spl2_471
| ~ spl2_301
| spl2_278
| spl2_356
| ~ spl2_191
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s9362,s1588,s8870,s5874,s4945]) ).
cnf(s11124,plain,
( ~ spl2_168
| spl2_178
| ~ spl2_191
| ~ spl2_145
| spl2_44
| ~ spl2_98
| ~ spl2_26
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s5588,s8451,s6721,s3142,s307,s1502,s4715,s6940,s6756,s10715]) ).
cnf(s11125,plain,
( ~ spl2_301
| ~ spl2_169
| ~ spl2_234
| spl2_278
| spl2_356
| ~ spl2_191
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s11123,s1845,s10519]) ).
cnf(s11126,plain,
( ~ spl2_132
| ~ spl2_234
| ~ spl2_170
| ~ spl2_140
| spl2_278
| spl2_356
| ~ spl2_191
| ~ spl2_19
| spl2_246
| ~ spl2_211
| spl2_44
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149 ),
inference(rat,[],[s5512,s5759,s2448,s4441,s10735,s11125,s10964,s11124,s4085,s572,s10962,s1906,s4937,s230,s6601,s3096,s1497,s10279,s91,s11107,s271]) ).
cnf(s11127,plain,
( spl2_204
| spl2_15
| spl2_44
| ~ spl2_98
| ~ spl2_26
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s10333,s9218,s4937,s604,s2848,s379,s4944,s10693,s9732,s11126,s11122,s10963,s8302,s6545,s10791,s10493,s1496,s1484,s445,s43,s271,s10677,s8,s3094,s19,s1041,s3841,s2978,s6807,s1399,s1270,s330,s1272,s11121,s10288,s1259,s28,s27,s5118,s2756,s11093,s10697,s10575,s11092,s13]) ).
cnf(s11129,plain,
( ~ spl2_308
| ~ spl2_278
| ~ spl2_204
| spl2_17 ),
inference(rat,[],[s7200,s3167,s9165]) ).
cnf(s11130,plain,
( spl2_234
| ~ spl2_19
| ~ spl2_203
| spl2_308
| ~ spl2_678
| ~ spl2_204
| ~ spl2_16
| spl2_44
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_26
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s2078,s3989,s3416,s1142,s2448,s9733,s4995,s78,s4389,s5131,s4929,s4295,s6718,s9419,s10698,s10751,s10279,s926,s10715,s7589,s859,s888]) ).
cnf(s11131,plain,
( ~ spl2_132
| ~ spl2_234
| ~ spl2_19
| ~ spl2_170
| ~ spl2_203
| ~ spl2_278
| spl2_140
| ~ spl2_16
| spl2_44
| ~ spl2_139
| ~ spl2_25
| ~ spl2_26
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s1122,s9222,s2078,s10962,s7395,s10630,s4937,s10603,s10590,s2848,s11107,s4939,s10268,s10493]) ).
cnf(s11132,plain,
( ~ spl2_19
| ~ spl2_203
| spl2_308
| ~ spl2_678
| ~ spl2_278
| ~ spl2_204
| ~ spl2_16
| spl2_44
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_25
| ~ spl2_26
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s9733,s4995,s1845,s4388,s4295,s10698,s926,s9732,s11131,s11130,s10963,s10404,s888,s10268,s1690]) ).
cnf(s11133,plain,
( ~ spl2_203
| ~ spl2_278
| ~ spl2_204
| ~ spl2_16
| spl2_44
| ~ spl2_98
| spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s2448,s11114,s879,s7096,s6918,s5057,s3684,s4889,s7408,s468,s5329,s9222,s3427,s1122,s1119,s2078,s10962,s7395,s4937,s10603,s1028,s5383,s6807,s11094,s711,s19,s8,s11132,s10963,s10404,s27,s10383,s1988,s1259,s5118,s2756,s11093,s10268,s10793,s1690,s3122,s28,s22,s888,s11129]) ).
cnf(s11134,plain,
( spl2_15
| spl2_44
| ~ spl2_98
| ~ spl2_26
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s6130,s5383,s10962,s10502,s3676,s7395,s468,s3841,s2978,s1270,s330,s11133,s10493,s10791,s10268,s1690,s11127,s13,s27,s10697,s10575,s10383,s1988,s22,s11092,s28,s1259]) ).
cnf(s11135,plain,
( ~ spl2_203
| ~ spl2_309
| ~ spl2_234
| ~ spl2_333
| ~ spl2_558
| spl2_44
| ~ spl2_98
| ~ spl2_139 ),
inference(rat,[],[s10456,s10962,s912,s1813,s1164,s7395,s10963,s2078,s10404,s4171,s10715,s926,s4170]) ).
cnf(s11136,plain,
( ~ spl2_278
| ~ spl2_204
| ~ spl2_558
| spl2_44
| ~ spl2_98
| ~ spl2_139
| spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s6130,s5383,s10962,s10502,s3676,s7395,s468,s3841,s2978,s1270,s330,s11135,s888,s11129,s10493,s10383,s1988,s1259,s10268,s7589,s10715,s926,s4170,s10793,s1690,s3122,s22]) ).
cnf(s11137,plain,
( ~ spl2_203
| spl2_197
| ~ spl2_234
| ~ spl2_333
| ~ spl2_558
| spl2_44
| ~ spl2_98
| ~ spl2_139 ),
inference(rat,[],[s10456,s10962,s912,s10963,s1813,s1164,s3355,s7395,s2078,s4171,s10715,s926,s4170]) ).
cnf(s11138,plain,
( spl2_44
| ~ spl2_98
| ~ spl2_26
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s8870,s4737,s4945,s2538,s10964,s4715,s2848,s11124,s453,s4937,s445,s10962,s271,s10963,s10677,s3676,s8,s3355,s3094,s468,s19,s3841,s2978,s6807,s330,s1272,s11137,s6545,s11136,s7589,s10715,s10793,s10268,s926,s1690,s3122,s4170,s452,s5995,s11134,s27,s10383,s1988,s22,s28,s1259,s5118,s2756,s11093,s10697,s10575,s11092]) ).
cnf(s11139,plain,
( spl2_140
| ~ spl2_308
| ~ spl2_208
| ~ spl2_207
| spl2_226
| ~ spl2_55
| ~ spl2_18
| ~ spl2_141
| ~ spl2_278
| ~ spl2_139
| spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s7408,s468,s5329,s9222,s10962,s4948,s2641,s1122,s2448,s3088,s11098,s4889,s3684,s6937,s5131,s201,s5027,s11095,s9734,s1948,s10383,s1988,s5118,s2756,s5383,s11094,s22]) ).
cnf(s11140,plain,
( ~ spl2_132
| ~ spl2_308
| ~ spl2_208
| ~ spl2_207
| spl2_226
| spl2_234
| ~ spl2_55
| ~ spl2_18
| ~ spl2_278
| ~ spl2_139
| spl2_17
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s10381,s11097,s11107,s1263,s10493]) ).
cnf(s11141,plain,
( spl2_234
| ~ spl2_196
| spl2_181
| ~ spl2_55
| spl2_250
| spl2_204
| ~ spl2_278
| ~ spl2_98
| ~ spl2_139
| spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s8844,s8869,s8870,s6404,s4387,s9356,s10238,s8646,s11103,s1751,s1376,s5252,s2641,s4944,s5131,s9732,s11140,s11139,s10813,s8551,s9062,s6074,s859,s10714,s5118,s2756,s1263,s13,s452,s5383,s11094,s8,s271,s1496,s10493,s22,s1770]) ).
cnf(s11142,plain,
( ~ spl2_169
| spl2_302
| spl2_363
| spl2_130
| spl2_238
| ~ spl2_18
| ~ spl2_98
| spl2_299
| ~ spl2_40 ),
inference(rat,[],[s6355,s3623,s9518,s1816,s8646]) ).
cnf(s11143,plain,
( ~ spl2_132
| spl2_140
| ~ spl2_234
| ~ spl2_55
| spl2_250
| ~ spl2_18
| spl2_204
| ~ spl2_278
| ~ spl2_98
| ~ spl2_139
| spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s8869,s8844,s6675,s8870,s2893,s7543,s10964,s11142,s6919,s7093,s9719,s4085,s542,s233,s8890,s2447,s879,s6918,s10962,s4937,s1122,s1963,s10963,s1906,s11112,s10540,s7033,s230,s11115,s91,s11114,s11107,s6645,s7096,s5118,s2756,s236,s5383,s11094,s22,s2850,s6387,s10735,s3476,s3782,s10493,s4903,s3897,s4388,s3684,s4889,s6717,s1259,s9734]) ).
cnf(s11144,plain,
( spl2_140
| ~ spl2_234
| ~ spl2_55
| spl2_250
| ~ spl2_18
| spl2_204
| ~ spl2_278
| ~ spl2_98
| ~ spl2_139
| spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5431,s8871,s10964,s7075,s6756,s2448,s8081,s6675,s7033,s7030,s8869,s10963,s8844,s4937,s8870,s10962,s6978,s7119,s9760,s4754,s11143,s10735,s3684,s4889,s6717,s9734,s5118,s2756,s5383,s11094,s22,s1259,s2850,s1770]) ).
cnf(s11145,plain,
( ~ spl2_132
| ~ spl2_140
| ~ spl2_234
| ~ spl2_55
| ~ spl2_18
| ~ spl2_278
| ~ spl2_98
| ~ spl2_139
| ~ spl2_31
| ~ spl2_37
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s9719,s5427,s558,s1041,s2389,s9218,s1993,s1199,s2460,s8703,s2447,s7661,s879,s6918,s10962,s4937,s230,s10963,s155,s3476,s3897,s7033,s6082,s2088,s4007,s4388,s10735,s3702,s11115,s91,s10519,s11114,s11107,s4939,s7096,s10493,s5383,s11094,s2850]) ).
cnf(s11146,plain,
( spl2_204
| ~ spl2_203
| ~ spl2_278
| ~ spl2_98
| spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s5431,s8871,s10964,s7075,s6756,s2448,s8081,s6675,s7033,s7030,s8869,s10963,s8844,s4937,s8870,s10962,s6978,s7119,s9760,s10735,s11062,s9732,s4754,s11145,s11144,s11141,s10603,s1770,s2850,s5383,s2855,s6807,s7024,s11094,s19,s8,s271,s13,s1496,s452,s1259,s28,s22,s5118,s2756,s11093,s10493,s27]) ).
cnf(s11147,plain,
( spl2_84
| spl2_229
| spl2_140
| ~ spl2_19
| spl2_226
| spl2_234
| ~ spl2_204
| ~ spl2_203
| spl2_202
| ~ spl2_278
| ~ spl2_44
| ~ spl2_139
| ~ spl2_25
| ~ spl2_26
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s4937,s10962,s10963,s9222,s10536,s1122,s10496,s10603,s5383,s7284,s5384,s10232,s230,s3476,s10630,s4007,s10610,s10619,s1497,s91,s1263,s888,s5952,s271]) ).
cnf(s11148,plain,
( spl2_208
| ~ spl2_324
| ~ spl2_309
| ~ spl2_204
| ~ spl2_203
| ~ spl2_44
| ~ spl2_98
| ~ spl2_139 ),
inference(rat,[],[s10333,s2457,s1813,s3989,s8551,s1142]) ).
cnf(s11149,plain,
( spl2_140
| ~ spl2_19
| spl2_234
| ~ spl2_204
| ~ spl2_203
| ~ spl2_278
| ~ spl2_44
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_25
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4389,s2448,s10668,s2642,s10498,s4995,s4055,s5057,s6691,s6718,s9419,s9593,s10715,s11147,s1926,s1948,s1259,s10493,s859,s6074,s11148,s10714,s888,s5952,s271]) ).
cnf(s11150,plain,
( ~ spl2_191
| ~ spl2_363
| ~ spl2_307
| ~ spl2_317
| spl2_356
| ~ spl2_852
| ~ spl2_216
| ~ spl2_145
| ~ spl2_207
| ~ spl2_309
| ~ spl2_204
| ~ spl2_203
| ~ spl2_44
| spl2_93 ),
inference(rat,[],[s5262,s1902,s1500,s10964,s9470,s7089,s8871,s8868,s10525,s4151]) ).
cnf(s11151,plain,
( spl2_191
| ~ spl2_145
| ~ spl2_31
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s1500,s1298,s3850,s445]) ).
cnf(s11152,plain,
( spl2_84
| ~ spl2_191
| spl2_455
| ~ spl2_19
| spl2_234
| ~ spl2_309
| spl2_250
| ~ spl2_204
| ~ spl2_203
| spl2_202
| ~ spl2_44
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s11150,s2448,s6083,s7762,s10962,s4937,s10963,s1751,s2131,s9468,s1376,s3989,s8939,s3702,s3218,s10610,s10619,s1497,s6074,s11148,s10714,s271]) ).
cnf(s11153,plain,
( ~ spl2_19
| spl2_234
| ~ spl2_204
| ~ spl2_203
| ~ spl2_278
| ~ spl2_44
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_31
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s7408,s8725,s7752,s1059,s4889,s10963,s10962,s3684,s3220,s2457,s10514,s1498,s1041,s4055,s5057,s6691,s6718,s9419,s9593,s11152,s11151,s5383,s6115,s11149,s271,s10383,s1988,s1259,s1263,s10493,s3122,s859,s11148,s10714,s888,s5952]) ).
cnf(s11155,plain,
( spl2_307
| spl2_455
| spl2_234
| ~ spl2_309
| ~ spl2_204
| ~ spl2_203
| ~ spl2_44
| ~ spl2_98
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s2131,s10963,s3989,s4937,s3218,s10962,s10668,s2135,s4389,s879,s6074,s11148,s10714]) ).
cnf(s11156,plain,
( ~ spl2_132
| ~ spl2_363
| ~ spl2_18
| ~ spl2_31
| ~ spl2_149 ),
inference(rat,[],[s11114,s7096]) ).
cnf(s11157,plain,
( spl2_234
| ~ spl2_204
| ~ spl2_203
| ~ spl2_278
| ~ spl2_44
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_31
| ~ spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5995,s13,s4170,s9733,s2096,s4995,s5057,s11156,s2448,s11155,s5383,s11094,s8,s11153,s11148,s859,s10714,s1259,s888,s5952]) ).
cnf(s11158,plain,
( ~ spl2_203
| ~ spl2_278
| ~ spl2_44
| ~ spl2_98
| spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s9733,s4939,s4995,s1845,s10519,s4388,s13,s4295,s5995,s10698,s4170,s2590,s11157,s5952,s11146,s28,s27,s22,s5118,s2756,s11093]) ).
cnf(s11159,plain,
( ~ spl2_278
| ~ spl2_44
| ~ spl2_98
| spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s8725,s1059,s10963,s10962,s3220,s2457,s1498,s1496,s271,s8,s19,s1041,s2978,s6807,s1270,s330,s1272,s11158,s1263,s10493,s1259,s28,s27]) ).
cnf(s11160,plain,
( spl2_234
| ~ spl2_203
| ~ spl2_140
| spl2_204
| spl2_278
| ~ spl2_44
| ~ spl2_98
| spl2_17
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11109,s10603,s4390,s8551,s1770,s9062,s2448,s6807,s7024,s11156,s19,s8,s10280,s2096,s5027,s11107,s4389,s201,s4295,s6370,s10813,s9720,s6074,s859,s10714,s27,s22,s5118,s2756,s11093]) ).
cnf(s11161,plain,
( ~ spl2_590
| ~ spl2_145
| ~ spl2_195
| spl2_197
| ~ spl2_231
| ~ spl2_139
| spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149 ),
inference(rat,[],[s6721,s3142,s1500,s1964,s9296,s5184,s7965,s3816,s3675,s22]) ).
cnf(s11162,plain,
( ~ spl2_132
| ~ spl2_371
| ~ spl2_191
| ~ spl2_19
| ~ spl2_234
| ~ spl2_140
| spl2_204
| ~ spl2_44
| spl2_93
| ~ spl2_139
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s5867,s8870,s10696,s8844,s5027,s6601,s2096,s10280,s11107]) ).
cnf(s11163,plain,
( ~ spl2_19
| ~ spl2_234
| ~ spl2_140
| ~ spl2_16
| spl2_204
| spl2_197
| ~ spl2_231
| ~ spl2_44
| ~ spl2_139
| spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s5867,s8870,s9760,s8844,s10519,s2848,s4944,s9732,s11162,s8869,s11161,s11151,s271,s22,s5118,s2756,s10288]) ).
cnf(s11164,plain,
( spl2_363
| ~ spl2_55
| ~ spl2_234
| ~ spl2_203
| ~ spl2_140
| spl2_278
| ~ spl2_98 ),
inference(rat,[],[s4944,s10715,s2848,s11105,s4937,s10962,s10963,s8200,s7033,s1142,s10735,s11115,s1845,s2850]) ).
cnf(s11165,plain,
( ~ spl2_203
| ~ spl2_140
| ~ spl2_16
| spl2_204
| spl2_197
| spl2_278
| ~ spl2_44
| ~ spl2_98
| spl2_17
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s10519,s9795,s4944,s6937,s9732,s201,s11156,s11164,s6807,s19,s8,s11163,s11160,s1259,s28,s27,s22,s11093,s733]) ).
cnf(s11166,plain,
( spl2_204
| ~ spl2_44
| ~ spl2_98
| spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s2822,s10813,s485,s859,s1498,s11163,s271,s8,s19,s6807,s1270,s330,s1272,s11165,s10791,s13,s452,s1259,s28,s27,s11093,s733,s6545,s11159]) ).
cnf(s11167,plain,
( spl2_234
| ~ spl2_19
| ~ spl2_204
| spl2_278
| ~ spl2_44
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s2096,s10280,s4995,s11107,s4388,s201,s4295,s6370,s9720,s6074]) ).
cnf(s11168,plain,
( ~ spl2_19
| ~ spl2_140
| ~ spl2_16
| ~ spl2_203
| ~ spl2_204
| spl2_278
| ~ spl2_44
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_37
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10334,s4937,s8298,s10962,s10735,s8200,s10519,s2848,s1142,s4944,s6370,s4055,s9732,s201,s6691,s6718,s9419,s9593,s10280,s2590,s11167,s1498,s271,s11056]) ).
cnf(s11169,plain,
( spl2_234
| ~ spl2_55
| ~ spl2_18
| ~ spl2_140
| ~ spl2_203
| spl2_250
| ~ spl2_204
| spl2_278
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_31
| ~ spl2_149 ),
inference(rat,[],[s10603,s8551,s11109,s2448,s4995,s11156,s4390,s4389,s4388,s201,s4295,s6370,s9062,s9720,s6074,s10714,s1770]) ).
cnf(s11170,plain,
( ~ spl2_203
| ~ spl2_44
| ~ spl2_98
| spl2_17
| ~ spl2_26
| ~ spl2_14
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s9795,s6937,s4995,s201,s9733,s11156,s11164,s11169,s6807,s19,s8,s11168,s10791,s13,s5995,s4171,s11056,s27,s5118,s2756,s11093,s11159,s3122,s11166,s28,s22]) ).
cnf(s11171,plain,
( ~ spl2_98
| ~ spl2_26
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s10519,s4388,s4944,s4295,s9732,s10791,s13,s10698,s6718,s9419,s5995,s2822,s10280,s4170,s485,s2590,s1498,s11167,s271,s8,s19,s6807,s1270,s330,s1272,s11170,s11166,s11159,s11138,s1259,s28,s27,s5118,s2756,s11093,s10697,s10575,s11092]) ).
cnf(s11172,plain,
( ~ spl2_26
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s8,s19,s10280,s6807,s118,s161,s2039,s11171,s22,s11092,s1259,s28,s10697,s10575]) ).
cnf(s11173,plain,
( spl2_139
| ~ spl2_18
| ~ spl2_278
| spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s5183,s881,s9734,s5153,s724]) ).
cnf(s11174,plain,
( spl2_44
| ~ spl2_203
| ~ spl2_92
| spl2_234
| ~ spl2_16
| ~ spl2_139
| ~ spl2_18
| ~ spl2_278
| ~ spl2_17
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10603,s8551,s5383,s10584,s5384,s10583,s11107,s9732,s926,s1259,s10714]) ).
cnf(s11175,plain,
( ~ spl2_203
| spl2_226
| spl2_234
| ~ spl2_139
| spl2_204
| ~ spl2_278
| ~ spl2_17
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4937,s10963,s10962,s2792,s435,s5704,s1122,s3218,s8551,s10603,s5383,s5384,s10650,s11174,s1259,s10288,s8,s271,s1496,s10493,s7,s452,s10714,s10751,s6492,s6421]) ).
cnf(s11176,plain,
( spl2_44
| spl2_206
| ~ spl2_92
| spl2_234
| ~ spl2_16
| ~ spl2_139
| ~ spl2_278
| ~ spl2_17
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s6718,s9419,s9732,s10586,s926,s10493]) ).
cnf(s11177,plain,
( spl2_234
| spl2_204
| ~ spl2_278
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1417,s5183,s5402,s1948,s7752,s10673,s10963,s8551,s4937,s10502,s10962,s4889,s5383,s5760,s3684,s5384,s5057,s485,s10650,s10667,s269,s11176,s120,s226,s1996,s5118,s2978,s6807,s1270,s1545,s330,s1272,s11175,s10751,s6492,s859,s10714,s1259,s4953,s1263,s10288,s6421,s7,s452,s11173,s8,s271,s1496,s10493]) ).
cnf(s11178,plain,
( ~ spl2_301
| ~ spl2_234
| ~ spl2_16
| ~ spl2_18
| ~ spl2_278
| ~ spl2_40 ),
inference(rat,[],[s9732,s4939,s11062,s10519]) ).
cnf(s11179,plain,
( spl2_204
| ~ spl2_278
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s3094,s10677,s1847,s445,s5575,s11076,s9719,s10729,s5402,s226,s475,s1996,s2978,s6807,s330,s1272,s7711,s5183,s11035,s6186,s5383,s576,s9760,s5057,s5107,s5384,s1518,s4996,s5027,s2031,s2738,s1751,s2096,s394,s2101,s6803,s6565,s10486,s3897,s4010,s4388,s10735,s11178,s11177,s7,s6421,s452,s11173,s8,s271,s1496,s10288,s1259,s4953,s405,s10493]) ).
cnf(s11180,plain,
( spl2_84
| spl2_120
| ~ spl2_19
| spl2_44
| ~ spl2_14 ),
inference(rat,[],[s3096,s230,s10279,s91]) ).
cnf(s11181,plain,
( spl2_208
| ~ spl2_77
| ~ spl2_128
| ~ spl2_203
| spl2_139
| ~ spl2_333
| spl2_44
| ~ spl2_278
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s3676,s10962,s2078,s10614,s6580,s7143,s469,s912]) ).
cnf(s11182,plain,
( ~ spl2_255
| ~ spl2_191
| spl2_363
| spl2_299
| ~ spl2_345
| spl2_132
| ~ spl2_145
| spl2_44
| ~ spl2_17 ),
inference(rat,[],[s526,s1502,s4809,s4128,s8646]) ).
cnf(s11183,plain,
( ~ spl2_191
| ~ spl2_144
| spl2_130
| spl2_363
| spl2_299
| ~ spl2_77
| ~ spl2_345
| spl2_132
| ~ spl2_145
| spl2_44
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s1502,s528,s4978,s5350,s9518,s11182]) ).
cnf(s11184,plain,
( ~ spl2_301
| spl2_212
| ~ spl2_173
| ~ spl2_16
| spl2_132
| ~ spl2_84
| spl2_120
| spl2_122
| spl2_139
| ~ spl2_145
| spl2_44
| ~ spl2_204
| spl2_202
| ~ spl2_278
| ~ spl2_17
| ~ spl2_98
| spl2_10
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1479,s10640,s3760,s11183,s2025,s779,s504,s7347,s10250,s154,s3377,s1508,s4903,s10428,s4389,s155,s2448,s5252,s9733,s4995,s1259,s829,s4055,s11181,s10751,s926,s9732,s201,s10462,s1222,s5153,s724,s1263,s10268,s1690,s6691,s9593,s9128,s10614]) ).
cnf(s11185,plain,
( ~ spl2_181
| spl2_93
| ~ spl2_250
| spl2_229
| ~ spl2_141
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s7815,s8869,s4900,s5193]) ).
cnf(s11186,plain,
( spl2_363
| ~ spl2_144
| spl2_299
| ~ spl2_208
| ~ spl2_77
| ~ spl2_345
| spl2_132
| ~ spl2_191
| ~ spl2_203
| ~ spl2_145
| spl2_44
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s4903,s4389,s11183,s2448]) ).
cnf(s11187,plain,
( ~ spl2_16
| spl2_132
| ~ spl2_84
| spl2_234
| spl2_139
| ~ spl2_145
| spl2_44
| ~ spl2_204
| spl2_202
| ~ spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_14
| spl2_10
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4715,s526,s1601,s4809,s10964,s10645,s9733,s11186,s10383,s3348,s2025,s4438,s504,s3022,s10250,s154,s3476,s4007,s9128,s11184,s10614,s358,s10962,s10963,s9218,s3355,s3094,s1501,s1041,s4055,s11181,s6492,s10751,s926,s9732,s10268,s120,s3169,s10462,s1222,s445,s11185,s829,s1948,s1690,s1263,s5186,s10232,s5153,s724,s6691,s9593,s201]) ).
cnf(s11188,plain,
( spl2_234
| spl2_139
| ~ spl2_19
| spl2_44
| ~ spl2_204
| ~ spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s8871,s8963,s1041,s9632,s4128,s4055,s9496,s912,s6940,s1164,s5538,s7396,s10715,s526,s2538,s2078,s926,s4715,s4171,s4170,s453,s5995,s7,s11187,s4754,s6691,s6718,s9419,s9593,s11180,s10232,s271,s10462,s1222,s5153,s445,s11185,s829,s724,s1948,s1690,s1263,s10493]) ).
cnf(s11189,plain,
( spl2_92
| ~ spl2_234
| ~ spl2_203
| spl2_244
| spl2_139
| ~ spl2_19
| ~ spl2_333
| spl2_44
| spl2_202
| ~ spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_14
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10333,s9218,s6797,s3094,s10488,s1501,s1041,s4055,s6691,s9593,s11181,s10280,s10751,s271,s201,s10394]) ).
cnf(s11190,plain,
( ~ spl2_180
| ~ spl2_269
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s6721,s3142]) ).
cnf(s11191,plain,
( spl2_139
| ~ spl2_19
| spl2_44
| ~ spl2_204
| ~ spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5381,s8844,s8870,s8869,s9329,s7903,s656,s11190,s5388,s9052,s8871,s9632,s912,s9496,s5538,s1164,s428,s6940,s4802,s526,s2078,s4715,s4171,s453,s5995,s7,s9732,s10715,s926,s11189,s4754,s10394,s11188,s445,s11185,s10462,s1222,s5153,s829,s724,s1263,s10493,s10268,s1948,s1690]) ).
cnf(s11192,plain,
( ~ spl2_132
| ~ spl2_203
| ~ spl2_197
| ~ spl2_139
| ~ spl2_19
| spl2_226
| spl2_140
| spl2_44
| ~ spl2_278
| ~ spl2_98
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s7752,s10963,s5427,s4937,s867,s10962,s435,s1122,s2078,s7395,s10603,s2848,s6074,s10492,s1926,s10715,s10279,s11107,s4939,s10493,s10268,s271]) ).
cnf(s11193,plain,
( spl2_234
| ~ spl2_197
| ~ spl2_139
| spl2_140
| spl2_44
| ~ spl2_98 ),
inference(rat,[],[s926,s10715,s10751,s1926,s6492,s6074]) ).
cnf(s11194,plain,
( ~ spl2_203
| ~ spl2_139
| ~ spl2_19
| spl2_44
| ~ spl2_204
| ~ spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s6797,s10962,s912,s1813,s1164,s7395,s2078,s11080,s4171,s5995,s10715,s7,s2642,s9733,s1845,s4995,s5057,s5107,s11192,s10268,s6186,s11193,s10585,s1690]) ).
cnf(s11195,plain,
( ~ spl2_19
| spl2_44
| ~ spl2_204
| ~ spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10333,s6130,s9223,s5383,s7395,s10488,s1501,s1041,s1270,s330,s11194,s11191,s271,s1259,s10493,s10268,s1690]) ).
cnf(s11196,plain,
( ~ spl2_203
| ~ spl2_209
| spl2_353
| spl2_455
| spl2_250
| ~ spl2_244
| ~ spl2_139
| spl2_229
| ~ spl2_333
| spl2_44
| ~ spl2_141
| spl2_375
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s10593,s10383,s2454,s8725,s1923,s10963,s2078,s1969,s4937,s7395,s10962,s10603,s10403]) ).
cnf(s11197,plain,
( ~ spl2_278
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_14
| spl2_10
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10333,s4937,s435,s10963,s1122,s8725,s863,s2978,s330,s11196,s10735,s3684,s4889,s6717,s2614,s5383,s11193,s5384,s5153,s10585,s711,s11173,s8,s11195,s1948,s10268,s1690,s5952,s11179,s1263,s5969,s10493,s1259,s4953]) ).
cnf(s11198,plain,
( spl2_234
| ~ spl2_301
| spl2_44
| ~ spl2_140
| ~ spl2_195
| ~ spl2_203
| spl2_93
| spl2_278
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s6599,s4937,s10962,s10963,s8200,s8302,s1142,s2078,s2448,s10553,s6492,s2641,s10751,s4944,s926,s4389,s851,s4295,s9523,s9720]) ).
cnf(s11199,plain,
( spl2_44
| ~ spl2_18
| spl2_204
| spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s4937,s10963,s10962,s7955,s8200,s2978,s1170,s428,s863,s2078,s6601,s4171,s4170,s5995,s7,s10633,s11198,s10830,s10486,s829,s10462,s1222,s1263,s805,s1259,s10288,s9734,s5153,s724]) ).
cnf(s11200,plain,
( ~ spl2_132
| ~ spl2_173
| ~ spl2_178
| ~ spl2_644
| spl2_197
| ~ spl2_44
| ~ spl2_287
| ~ spl2_140
| ~ spl2_18
| ~ spl2_195
| ~ spl2_203
| ~ spl2_17
| ~ spl2_308
| ~ spl2_149 ),
inference(rat,[],[s4937,s10963,s6599,s8302,s10553,s10751,s8039,s11110,s2096,s8182,s5027,s7096,s4389]) ).
cnf(s11201,plain,
( ~ spl2_173
| spl2_234
| ~ spl2_18
| spl2_204
| spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10640,s1751,s4390,s2111,s777,s10615,s4996,s2096,s10751,s10553,s4937,s489,s10963,s7143,s3356,s912,s2448,s2641,s6370,s9519,s201,s11200,s4953,s10288,s8295,s2738,s2031,s394,s11199,s405,s10714,s859,s4389,s4295,s9720,s10462,s1222,s1263,s805,s1259,s4944,s851,s9523,s829,s9734,s5153,s724]) ).
cnf(s11202,plain,
( spl2_234
| ~ spl2_18
| spl2_204
| spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5027,s9765,s2642,s2448,s1142,s8200,s6613,s10962,s11201,s4944,s4389,s851,s4295,s9523,s9720,s4953,s829,s10462,s1222,s1263,s805,s1259,s9734,s5153,s724]) ).
cnf(s11204,plain,
( spl2_92
| ~ spl2_234
| ~ spl2_643
| ~ spl2_140
| ~ spl2_250
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s7,s10633,s5995,s6550,s4170,s10751]) ).
cnf(s11205,plain,
( ~ spl2_194
| ~ spl2_92
| ~ spl2_128
| ~ spl2_44
| ~ spl2_203
| ~ spl2_98
| spl2_26 ),
inference(rat,[],[s912,s7143,s3218,s489]) ).
cnf(s11206,plain,
( spl2_204
| spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_14
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1119,s9519,s10962,s10633,s4937,s7,s10963,s5995,s320,s4171,s1122,s11205,s6601,s11204,s201,s10617,s11202,s11199,s10729,s120,s226,s9734,s8,s271,s1496,s4953,s829,s9228,s10462,s1222,s5153,s724,s1263,s805,s1259]) ).
cnf(s11207,plain,
( spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s11190,s7903,s9052,s8869,s8871,s8844,s6797,s9632,s10964,s8870,s10962,s912,s9496,s6756,s9362,s8200,s9523,s1164,s6940,s4802,s526,s428,s851,s10715,s4715,s2078,s926,s453,s4171,s4170,s445,s5995,s11185,s10792,s1948,s10268,s1690,s2822,s351,s11206,s10462,s1222,s1263,s5153,s829,s805,s724,s1259,s4953]) ).
cnf(s11208,plain,
( spl2_234
| spl2_44
| ~ spl2_203
| spl2_204
| ~ spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s1531,s5115,s5118,s5085,s11198,s6074,s10288,s10792,s452,s10830,s10486]) ).
cnf(s11210,plain,
( ~ spl2_181
| ~ spl2_211
| ~ spl2_201
| spl2_221
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8871,s8961,s3643,s4900]) ).
cnf(s11211,plain,
( ~ spl2_173
| ~ spl2_100
| spl2_455
| ~ spl2_208
| ~ spl2_119
| spl2_44
| ~ spl2_203
| spl2_204
| ~ spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_14
| spl2_7
| spl2_4 ),
inference(rat,[],[s4715,s6940,s2155,s6756,s4789,s10964,s11125,s445,s11210,s1751,s1371,s8606,s572,s2978,s7955,s1041,s1170,s3094,s5427,s2078,s868,s1122,s320,s10963,s4937,s1533,s28,s27,s10288,s10715,s828,s4944,s10519,s11208,s10830,s10486,s10792,s452,s8556,s10603,s733]) ).
cnf(s11212,plain,
( spl2_44
| ~ spl2_19
| ~ spl2_203
| spl2_204
| ~ spl2_17
| ~ spl2_98
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s2078,s428,s5760,s8200,s10962,s11211,s120,s6601,s2466,s11118,s10280,s10383,s154,s11107,s9300,s10250,s9732,s3096,s10715,s5937,s4944,s1845,s10519,s11208,s5938,s10830,s10486,s10288,s7,s10792,s452,s11207,s11197,s11172,s10697,s10575,s27,s28,s1496,s271]) ).
cnf(s11213,plain,
( spl2_234
| ~ spl2_44
| spl2_204
| ~ spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s201,s6370,s10667,s6074,s859]) ).
cnf(s11214,plain,
( ~ spl2_19
| ~ spl2_203
| spl2_204
| ~ spl2_17
| ~ spl2_98
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s1461,s4986,s11205,s1794,s8556,s201,s4996,s10603,s5027,s6803,s6601,s2096,s9300,s10280,s9354,s379,s2614,s11213,s362,s2025,s7344,s8513,s604,s2031,s10383,s2738,s394,s11212,s1496,s271,s275,s14,s4953,s405,s733,s6421,s10792,s452,s11207,s11197,s11172,s10697,s10575,s27,s28]) ).
cnf(s11215,plain,
( spl2_44
| ~ spl2_18
| ~ spl2_203
| spl2_204
| ~ spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_149 ),
inference(rat,[],[s7096,s5937,s9732,s1199,s4944,s1845,s10519,s10830,s11208,s10486,s7,s10792,s452]) ).
cnf(s11216,plain,
( ~ spl2_132
| ~ spl2_234
| ~ spl2_44
| ~ spl2_18
| spl2_204
| ~ spl2_17
| ~ spl2_98
| ~ spl2_308
| ~ spl2_149 ),
inference(rat,[],[s10830,s1845,s6565,s11110,s2096,s5027,s7096]) ).
cnf(s11217,plain,
( ~ spl2_203
| spl2_204
| ~ spl2_17
| ~ spl2_98
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11035,s6565,s9760,s4010,s10735,s10519,s11066,s4944,s9732,s11216,s5118,s5384,s1518,s2031,s2738,s11213,s394,s11215,s8,s11214,s1259,s4953,s405,s10288,s6421,s7,s10792,s452,s11207,s11197,s11172,s10697,s10575,s27,s28]) ).
cnf(s11218,plain,
( spl2_234
| spl2_44
| spl2_93
| ~ spl2_197
| spl2_278
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s926,s851,s10751,s9523,s6492]) ).
cnf(s11219,plain,
( spl2_44
| spl2_203
| spl2_204
| spl2_278
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4715,s6940,s2155,s6756,s4789,s10964,s11125,s445,s10677,s1751,s3094,s2102,s1501,s8860,s572,s10287,s271,s1908,s1906,s8,s230,s11110,s91,s5027,s11107,s7096,s9732,s3096,s10715,s4944,s1845,s10519,s11218,s10830,s10486,s4953,s6421,s7,s10792,s452,s1270,s1259,s2978,s330,s5118,s1545,s11207]) ).
cnf(s11220,plain,
( spl2_204
| ~ spl2_17
| ~ spl2_98
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s4153,s656,s8868,s10677,s1298,s6627,s445,s11076,s1751,s2096,s2101,s6565,s9519,s4010,s10519,s11066,s4944,s9732,s10729,s11216,s226,s5384,s8,s2031,s431,s11213,s394,s269,s11219,s1996,s5118,s6807,s1270,s661,s1545,s330,s1272,s11217,s10792,s7,s6421,s452,s1259,s4953,s405,s11207,s11197,s11172,s10697,s10575,s27,s28]) ).
cnf(s11221,plain,
( ~ spl2_203
| ~ spl2_558
| ~ spl2_234
| ~ spl2_333
| spl2_44
| ~ spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s6797,s10962,s912,s8200,s1164,s428,s2078,s11080,s4171,s10715,s926,s4170]) ).
cnf(s11222,plain,
( spl2_181
| spl2_93
| ~ spl2_211
| ~ spl2_302
| ~ spl2_234
| spl2_226
| ~ spl2_15
| spl2_44
| ~ spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_308 ),
inference(rat,[],[s5805,s8869,s7179,s8844,s6919,s9792,s9519,s4945,s11125,s10964,s8870,s6756,s9362,s6940,s526,s4715,s453,s1484,s445,s10715,s172,s851,s926,s4170,s5995]) ).
cnf(s11223,plain,
( spl2_44
| ~ spl2_204
| ~ spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_308
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8963,s5380,s8871,s2604,s6618,s1298,s4900,s11222,s1041,s5118,s2978,s1270,s1545,s330,s11221,s1817,s5995,s11193,s6186,s10792,s10268,s10585,s1690,s1259]) ).
cnf(s11224,plain,
( spl2_234
| ~ spl2_204
| ~ spl2_139
| spl2_278
| ~ spl2_17
| ~ spl2_98
| ~ spl2_308
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1263,s11039,s10657,s8539,s8,s6492,s11037,s10280,s10751,s749,s2642,s2096,s91,s7572,s4388,s5027,s11107,s851,s4903,s201,s172,s6370,s9791,s6074,s10714,s11223]) ).
cnf(s11225,plain,
( ~ spl2_203
| ~ spl2_94
| ~ spl2_548
| ~ spl2_77
| ~ spl2_25
| ~ spl2_44
| ~ spl2_204
| ~ spl2_139
| spl2_278
| ~ spl2_17 ),
inference(rat,[],[s10662,s5704,s11056]) ).
cnf(s11226,plain,
( ~ spl2_132
| ~ spl2_18
| spl2_246
| spl2_206
| spl2_203
| spl2_212
| spl2_193
| ~ spl2_671
| ~ spl2_140
| spl2_391
| ~ spl2_94
| ~ spl2_234
| ~ spl2_204
| ~ spl2_139
| spl2_278
| ~ spl2_98
| ~ spl2_308
| ~ spl2_14
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s5595,s5577,s1906,s5402,s230,s8556,s3476,s10502,s3782,s8513,s9792,s7629,s9354,s6993,s2614,s11043,s172,s3897,s4903,s4388,s1845,s91,s5512,s11107,s733,s5243]) ).
cnf(s11227,plain,
( spl2_181
| ~ spl2_244
| ~ spl2_226
| ~ spl2_211
| ~ spl2_140
| ~ spl2_25
| ~ spl2_44
| ~ spl2_204
| ~ spl2_17 ),
inference(rat,[],[s8547,s1904,s6677,s8410,s5262,s1476,s1484,s445]) ).
cnf(s11228,plain,
( ~ spl2_181
| spl2_203
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8963,s5380,s8871,s2604,s6618,s1298,s4900,s2978,s330,s1041,s1270,s1259]) ).
cnf(s11229,plain,
( ~ spl2_17
| ~ spl2_98
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s4437,s3623,s4400,s5350,s8547,s10964,s6677,s1601,s5262,s1476,s1484,s445,s11228,s9519,s10519,s4944,s9732,s11226,s120,s226,s8,s1996,s431,s2978,s6807,s1270,s330,s1272,s11225,s372,s681,s576,s7340,s4085,s10792,s7,s1857,s4776,s5995,s5118,s9300,s3478,s4170,s1525,s10751,s707,s2590,s11224,s10383,s2738,s394,s269,s11223,s11220,s11207,s11197,s1259,s28,s27,s10697,s10575,s4953,s405,s11172]) ).
cnf(s11230,plain,
( spl2_140
| ~ spl2_787
| ~ spl2_301
| spl2_132
| ~ spl2_208
| ~ spl2_207
| ~ spl2_196
| ~ spl2_191
| spl2_455
| ~ spl2_18
| ~ spl2_141
| ~ spl2_278
| spl2_299
| ~ spl2_139
| ~ spl2_14
| ~ spl2_40 ),
inference(rat,[],[s8868,s5528,s7089,s4945,s11103,s1751,s1376,s2017,s6993,s2641,s2448,s11098,s4889,s3684,s9734,s1948,s5118]) ).
cnf(s11231,plain,
( spl2_255
| ~ spl2_677
| ~ spl2_324
| ~ spl2_191
| spl2_455
| spl2_181
| spl2_299
| ~ spl2_139 ),
inference(rat,[],[s8844,s8869,s8870,s6404,s4387,s9356,s10238,s5118]) ).
cnf(s11232,plain,
( spl2_363
| ~ spl2_255
| spl2_132
| ~ spl2_208
| ~ spl2_207
| ~ spl2_191
| spl2_455
| spl2_299
| ~ spl2_139 ),
inference(rat,[],[s1751,s11103,s1376,s8646,s5252]) ).
cnf(s11233,plain,
( spl2_234
| spl2_181
| ~ spl2_55
| spl2_250
| ~ spl2_278
| ~ spl2_139
| spl2_17
| ~ spl2_98
| ~ spl2_308
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s5292,s9325,s656,s8869,s8870,s5939,s5874,s4945,s11103,s1751,s5937,s6993,s1376,s1199,s2016,s4944,s2641,s11232,s11231,s11230,s6937,s5057,s201,s11140,s8551,s9062,s6074,s859,s10714,s5118,s2756,s1263,s1770,s10603,s5383,s11094,s8,s271,s1496,s10493,s11129,s22,s1272]) ).
cnf(s11234,plain,
( ~ spl2_169
| ~ spl2_750
| spl2_244
| ~ spl2_363
| ~ spl2_471
| ~ spl2_301
| ~ spl2_141
| spl2_93 ),
inference(rat,[],[s5292,s9325,s656,s8869,s8870,s5939,s5874,s4945]) ).
cnf(s11235,plain,
( ~ spl2_301
| spl2_132
| ~ spl2_140
| ~ spl2_234
| ~ spl2_196
| spl2_455
| ~ spl2_55
| ~ spl2_18
| ~ spl2_141
| ~ spl2_278
| spl2_299
| ~ spl2_308
| ~ spl2_40 ),
inference(rat,[],[s8869,s8081,s8844,s9032,s10763,s10963,s8868,s4501,s8535,s5308,s8538,s6930,s8871,s6940,s6026,s9042,s2893,s4809,s10964,s11234,s7088,s8606,s1222,s5937,s6993,s1199,s10715,s11062,s1845,s10519,s5118,s1770,s1272,s201]) ).
cnf(s11236,plain,
( ~ spl2_278
| ~ spl2_98
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s5431,s8871,s10964,s7075,s6756,s11115,s8081,s6675,s7030,s7033,s8869,s10963,s8844,s4937,s8870,s10962,s6978,s7119,s9760,s10735,s11235,s4754,s11145,s11144,s11233,s10603,s1272,s1770,s2850,s5383,s2855,s6807,s7024,s11094,s19,s8,s271,s1496,s1263,s11129,s10493,s1259,s28,s27,s4953,s11172,s22,s5118,s2756,s11093,s10697,s10575,s11229]) ).
cnf(s11237,plain,
( ~ spl2_19
| spl2_84
| ~ spl2_132
| ~ spl2_33
| spl2_26 ),
inference(rat,[],[s6137,s10287,s10280]) ).
cnf(s11238,plain,
( ~ spl2_203
| ~ spl2_355
| ~ spl2_55
| spl2_363
| ~ spl2_644
| ~ spl2_324
| spl2_278
| spl2_93
| ~ spl2_139
| ~ spl2_98 ),
inference(rat,[],[s5386,s5381,s8871,s7075,s6898,s10962,s10603,s8200,s8551,s1142,s2448,s4389,s10238,s8646,s4390,s1770]) ).
cnf(s11239,plain,
( ~ spl2_355
| ~ spl2_55
| ~ spl2_98
| spl2_363
| ~ spl2_644
| ~ spl2_324
| spl2_278
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s1272,s11238]) ).
cnf(s11240,plain,
( spl2_234
| ~ spl2_98
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11239,s8870,s4387,s10238,s8646,s4390,s1770,s9062,s6807,s7024,s11156,s19,s8,s11237,s11107,s201,s4295,s6370,s9720,s6074,s10714,s27,s22,s20,s11172,s5118,s2756,s11093,s10697,s10575,s11229,s11236]) ).
cnf(s11241,plain,
( ~ spl2_132
| ~ spl2_19
| ~ spl2_33
| spl2_26
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s11237,s11107]) ).
cnf(s11242,plain,
( ~ spl2_168
| spl2_44
| spl2_94
| ~ spl2_128
| ~ spl2_191
| ~ spl2_145
| ~ spl2_98
| ~ spl2_14
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s2522,s7960,s1502,s656,s11190,s6026,s6756]) ).
cnf(s11243,plain,
( ~ spl2_169
| spl2_78
| ~ spl2_195
| ~ spl2_301
| ~ spl2_191
| ~ spl2_145
| ~ spl2_234
| spl2_278
| ~ spl2_139
| spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149 ),
inference(rat,[],[s11161,s2101,s8869,s1751,s5874,s11125,s5118,s2756,s733,s1845]) ).
cnf(s11244,plain,
( spl2_204
| ~ spl2_301
| ~ spl2_128
| ~ spl2_191
| ~ spl2_145
| ~ spl2_234
| spl2_278
| ~ spl2_25
| ~ spl2_139
| spl2_17
| ~ spl2_98
| ~ spl2_308
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149 ),
inference(rat,[],[s1500,s2435,s11190,s5749,s6026,s11242,s6756,s10964,s11243,s9300,s5937,s5938,s1496,s10288,s1845]) ).
cnf(s11245,plain,
( ~ spl2_169
| ~ spl2_678
| spl2_140
| ~ spl2_301
| ~ spl2_191
| ~ spl2_234
| spl2_278
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s2538,s4737,s2099,s8870,s1751,s4945,s11125,s10519]) ).
cnf(s11246,plain,
( spl2_44
| spl2_250
| ~ spl2_204
| ~ spl2_301
| ~ spl2_128
| ~ spl2_191
| ~ spl2_145
| ~ spl2_234
| spl2_278
| spl2_93
| ~ spl2_139
| ~ spl2_98
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s1502,s11190,s6940,s6026,s6756,s10964,s11245,s10793,s1690,s10715,s2642,s4995,s1845]) ).
cnf(s11247,plain,
( ~ spl2_301
| spl2_132
| ~ spl2_19
| ~ spl2_203
| ~ spl2_234
| spl2_278
| ~ spl2_139
| spl2_17
| ~ spl2_98
| ~ spl2_308
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1751,s11125,s2104,s10964,s4948,s10641,s10962,s7143,s8200,s912,s1142,s4055,s6691,s9593,s10280,s1498,s2590,s11056,s11246,s3122,s11244,s10519,s10383,s1988,s5118,s2756,s11151,s271,s22,s1259,s201]) ).
cnf(s11249,plain,
( spl2_169
| ~ spl2_355
| ~ spl2_173
| spl2_132
| ~ spl2_191
| ~ spl2_203
| spl2_299
| ~ spl2_139 ),
inference(rat,[],[s5381,s8844,s5386,s1588,s8871,s1751,s9042,s2111,s4809,s5118]) ).
cnf(s11250,plain,
( ~ spl2_19
| ~ spl2_203
| ~ spl2_234
| spl2_278
| ~ spl2_139
| spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s9593,s6691,s10280,s4055,s2095,s1041,s9464,s8963,s1500,s11190,s9052,s8871,s9632,s8664,s8081,s8298,s2131,s8869,s10963,s8844,s4937,s2848,s4945,s11249,s8870,s10962,s5867,s1119,s9760,s9519,s10735,s11247,s6370,s201,s11241,s11151,s271,s1259,s4953,s22,s20,s5118,s2756]) ).
cnf(s11251,plain,
( spl2_363
| ~ spl2_55
| ~ spl2_18
| ~ spl2_203
| ~ spl2_234
| spl2_278
| ~ spl2_98 ),
inference(rat,[],[s2874,s7106,s1748,s4633,s10250,s6993,s2848,s4937,s10962,s10963,s8200,s7033,s912,s1142,s9734,s10735,s11115,s11164,s1845,s2850]) ).
cnf(s11252,plain,
( ~ spl2_169
| ~ spl2_301
| ~ spl2_191
| ~ spl2_203
| ~ spl2_234
| spl2_278
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s1119,s1743,s10962,s9362,s1479,s8870,s4945,s11125,s10519]) ).
cnf(s11253,plain,
( ~ spl2_172
| ~ spl2_442
| ~ spl2_269
| ~ spl2_55
| ~ spl2_203
| spl2_278
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s8535,s8868,s8537,s4151,s8556,s8200,s2815,s733,s1770]) ).
cnf(s11254,plain,
( ~ spl2_203
| ~ spl2_98
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s5515,s10603,s8868,s6797,s8535,s912,s8537,s10641,s8870,s9794,s11249,s4948,s10962,s11253,s8871,s6026,s9042,s6756,s4809,s10964,s11252,s10519,s9795,s6937,s201,s11156,s11251,s1770,s6807,s19,s8,s11250,s28,s27,s11172,s22,s5118,s2756,s11093,s10697,s10575,s11229,s11236,s11240]) ).
cnf(s11255,plain,
( ~ spl2_301
| spl2_44
| ~ spl2_128
| ~ spl2_145
| ~ spl2_191
| ~ spl2_234
| spl2_278
| ~ spl2_25
| ~ spl2_139
| spl2_17
| ~ spl2_98
| ~ spl2_308
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149 ),
inference(rat,[],[s11246,s3122,s11244,s22,s5118,s2756]) ).
cnf(s11256,plain,
( ~ spl2_169
| ~ spl2_355
| ~ spl2_645
| ~ spl2_209
| spl2_44
| spl2_207
| ~ spl2_145
| spl2_217
| spl2_198
| spl2_246
| spl2_181
| ~ spl2_234
| ~ spl2_231
| ~ spl2_139
| ~ spl2_33
| spl2_17
| ~ spl2_308
| ~ spl2_14
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s9719,s5372,s9632,s8868,s8871,s544,s8940,s9741,s2095,s2522,s2538,s9271,s9464,s1502,s1500,s656,s11190,s8664,s7965,s8869,s8844,s2848,s4945,s5118,s2756]) ).
cnf(s11257,plain,
( ~ spl2_98
| spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s5386,s8871,s10962,s9741,s9218,s2538,s6993,s1502,s5381,s2848,s11190,s8844,s6026,s1588,s11242,s6756,s4809,s10964,s11256,s1476,s3897,s9519,s4388,s10735,s11255,s2822,s6370,s485,s201,s1498,s11241,s271,s8,s3094,s468,s19,s1484,s445,s1041,s3841,s2978,s6807,s11228,s1270,s330,s1272,s11254,s11240,s733,s11236,s5118,s10383,s2756,s1988,s11093,s20,s22,s11229,s1259,s28,s27,s10697,s10575,s4953,s11172]) ).
cnf(s11258,plain,
( spl2_178
| spl2_234
| spl2_202
| ~ spl2_278
| ~ spl2_17
| spl2_94
| spl2_98
| ~ spl2_308
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s7752,s10963,s5427,s4937,s867,s10962,s10403,s6186,s10268,s10488,s1690,s5383,s2822,s1466,s5384,s5348,s10341,s271,s275,s10232,s2373,s8,s230,s1199,s3096,s186,s10440,s9129,s583,s91,s3803,s161,s761,s11090,s2017]) ).
cnf(s11259,plain,
( spl2_44
| ~ spl2_18
| spl2_234
| ~ spl2_17
| ~ spl2_139
| spl2_94 ),
inference(rat,[],[s98,s6492,s129,s10585]) ).
cnf(s11260,plain,
( ~ spl2_44
| spl2_234
| ~ spl2_278
| ~ spl2_17
| spl2_299
| ~ spl2_203
| ~ spl2_139
| ~ spl2_110
| spl2_26 ),
inference(rat,[],[s11047,s642]) ).
cnf(s11261,plain,
( spl2_234
| spl2_202
| ~ spl2_278
| ~ spl2_17
| spl2_94
| spl2_98
| spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s8,s11259,s10279,s11260,s11258,s4953,s186,s10440,s11090,s9129,s2017,s583,s91,s3803,s161]) ).
cnf(s11262,plain,
( ~ spl2_18
| ~ spl2_234
| spl2_202
| ~ spl2_278
| ~ spl2_17
| spl2_98
| ~ spl2_308
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s1690,s5952,s10288,s11063,s2115,s2650,s2373,s230,s3476,s6186,s4007,s5131,s11068,s11062,s1199,s506,s10440,s5118,s9129,s2017,s4776,s91,s3803,s161,s1259,s5383,s5458,s186,s1751,s2102,s583]) ).
cnf(s11263,plain,
( ~ spl2_278
| ~ spl2_17
| spl2_98
| spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s7752,s10963,s5427,s4937,s867,s10962,s10403,s6186,s10268,s10488,s1503,s2822,s10341,s271,s8,s11262,s5383,s5458,s421,s11261,s10493,s4953,s10440,s91,s161,s11090,s2017,s4776,s186,s1259]) ).
cnf(s11264,plain,
( ~ spl2_18
| spl2_300
| spl2_234
| spl2_278
| ~ spl2_17
| spl2_299
| ~ spl2_203
| ~ spl2_139
| spl2_94
| spl2_98
| ~ spl2_308 ),
inference(rat,[],[s4995,s2642,s1364,s11037,s4811,s9379,s11047,s11068,s11259,s1199,s186,s10714,s9720,s5118]) ).
cnf(s11266,plain,
( ~ spl2_173
| ~ spl2_455
| ~ spl2_47
| ~ spl2_140
| ~ spl2_202
| ~ spl2_145 ),
inference(rat,[],[s1498,s7464,s6599]) ).
cnf(s11267,plain,
( ~ spl2_172
| ~ spl2_195
| ~ spl2_100
| spl2_44
| spl2_278
| ~ spl2_17
| ~ spl2_203
| ~ spl2_139 ),
inference(rat,[],[s2078,s428,s5760,s8200]) ).
cnf(s11268,plain,
( spl2_204
| spl2_211
| ~ spl2_100
| ~ spl2_244
| spl2_44
| ~ spl2_145
| ~ spl2_103
| spl2_212
| spl2_281
| spl2_278
| ~ spl2_17
| ~ spl2_203
| ~ spl2_139 ),
inference(rat,[],[s7955,s10963,s1170,s4937,s1464,s11266,s7464,s10962,s11267,s604,s10792,s1496,s452,s10288]) ).
cnf(s11269,plain,
( spl2_234
| spl2_278
| ~ spl2_17
| spl2_98
| ~ spl2_308
| ~ spl2_14
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8871,s8961,s5386,s4518,s5381,s8870,s4737,s3094,s1041,s2538,s2078,s8935,s4715,s11080,s4171,s10962,s453,s5995,s10403,s10793,s10792,s10268,s1690,s11268,s2115,s2650,s5393,s2373,s5153,s120,s11180,s10583,s118,s2822,s10280,s10341,s271,s275,s8,s11264,s364,s1791,s2113,s155,s5186,s10440,s11090,s5118,s9129,s2017,s4776,s186,s583,s91,s3803,s161,s1259]) ).
cnf(s11270,plain,
( spl2_204
| spl2_44
| spl2_207
| ~ spl2_100
| ~ spl2_178
| ~ spl2_234
| spl2_278
| ~ spl2_17
| ~ spl2_203
| ~ spl2_139
| spl2_98
| ~ spl2_38 ),
inference(rat,[],[s1170,s2078,s7955,s1122,s2645,s320,s8298,s10735,s10963,s10519,s4937,s4944,s10962,s11066,s10792,s11267,s452,s10288,s5458,s186]) ).
cnf(s11271,plain,
( spl2_44
| spl2_132
| ~ spl2_100
| ~ spl2_18
| ~ spl2_234
| spl2_278
| ~ spl2_17
| spl2_93
| ~ spl2_203
| ~ spl2_139
| spl2_94
| spl2_98
| ~ spl2_38 ),
inference(rat,[],[s4995,s1390,s9519,s6186,s1690,s11270,s1199,s6370,s201]) ).
cnf(s11272,plain,
( spl2_204
| ~ spl2_44
| spl2_132
| ~ spl2_100
| ~ spl2_178
| spl2_748
| ~ spl2_234
| spl2_278
| ~ spl2_17
| spl2_93
| ~ spl2_203
| ~ spl2_139
| spl2_26 ),
inference(rat,[],[s10334,s4937,s320,s10962,s1122,s1119,s489,s9519,s8556,s10519,s10603,s4944,s11066,s10792,s452,s733]) ).
cnf(s11273,plain,
( ~ spl2_18
| ~ spl2_234
| spl2_278
| ~ spl2_17
| spl2_98
| spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s314,s4650,s10964,s307,s4900,s695,s590,s445,s11071,s9519,s10519,s4944,s11066,s10792,s469,s5995,s5704,s4171,s11056,s11272,s10751,s121,s269,s11271,s11068,s120,s1199,s226,s4953,s1996,s6807,s2039,s10250,s10440,s11090,s5118,s9129,s2017,s4776,s91,s3803,s161,s1259,s5458,s186,s1751,s2102,s583]) ).
cnf(s11274,plain,
( spl2_204
| spl2_211
| ~ spl2_100
| spl2_44
| ~ spl2_92
| ~ spl2_234
| spl2_278
| ~ spl2_17
| ~ spl2_203
| ~ spl2_139 ),
inference(rat,[],[s2078,s1170,s1122,s7955,s320,s10963,s4937,s6601,s10962,s10792,s11267,s452,s10288]) ).
cnf(s11275,plain,
( ~ spl2_17
| spl2_98
| spl2_26
| ~ spl2_14
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s8871,s9263,s5386,s4945,s5381,s8870,s879,s4737,s7396,s4948,s2538,s2848,s2078,s4715,s11080,s4171,s10962,s453,s5995,s10403,s10793,s10792,s10268,s1690,s11274,s2115,s2650,s5393,s2373,s120,s11180,s118,s2822,s10280,s10341,s8,s11273,s421,s11269,s11263,s4953,s10440,s11090,s5118,s9129,s2017,s4776,s186,s583,s91,s3803,s161,s1259]) ).
cnf(s11276,plain,
( spl2_10
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s10280,s8,s118,s19,s22,s11275,s6807,s161,s2039,s11257,s11172,s10697,s10575,s1259,s28,s27]) ).
cnf(s11277,plain,
( ~ spl2_47
| spl2_44
| spl2_234
| ~ spl2_301
| spl2_139
| ~ spl2_75
| ~ spl2_26
| ~ spl2_20
| ~ spl2_98
| ~ spl2_17
| ~ spl2_246
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1175,s2380,s3786,s364,s4903,s10430,s4389,s155,s2448,s5252,s10426,s10429,s330,s2978,s996,s888,s5038,s1699,s1259,s829,s1222,s2751,s5153,s5186,s5512,s4929,s10486,s5603,s724]) ).
cnf(s11278,plain,
( spl2_44
| spl2_19
| spl2_234
| spl2_139
| ~ spl2_75
| ~ spl2_26
| ~ spl2_20
| ~ spl2_98
| ~ spl2_17
| ~ spl2_246
| ~ spl2_291
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10580,s10408,s10288,s9734,s711,s10962,s12,s2841,s2031,s10383,s2519,s1029,s11277,s5512,s4929,s10486,s330,s2978,s888,s5038,s1699,s1263,s2751,s5153,s5603,s4007,s805,s1259,s5900,s724]) ).
cnf(s11279,plain,
( ~ spl2_29
| ~ spl2_44
| ~ spl2_278
| ~ spl2_141
| spl2_139
| ~ spl2_26
| ~ spl2_20
| ~ spl2_17
| ~ spl2_203
| ~ spl2_246
| ~ spl2_291
| ~ spl2_149 ),
inference(rat,[],[s10614,s10962,s5329,s2841,s5704,s10429,s3219,s1029]) ).
cnf(s11280,plain,
( spl2_19
| spl2_234
| ~ spl2_278
| spl2_139
| ~ spl2_75
| ~ spl2_100
| ~ spl2_454
| ~ spl2_26
| ~ spl2_20
| ~ spl2_98
| ~ spl2_17
| ~ spl2_246
| ~ spl2_291
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5995,s10522,s10566,s12,s10489,s10383,s11279,s11278,s330,s2978,s5038,s1699,s1263,s805,s1259]) ).
cnf(s11281,plain,
( spl2_234
| ~ spl2_278
| spl2_139
| ~ spl2_100
| ~ spl2_454
| spl2_84
| ~ spl2_26
| ~ spl2_20
| ~ spl2_98
| ~ spl2_17
| ~ spl2_246
| ~ spl2_291
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s6966,s10484,s9300,s374,s2031,s10383,s684,s10299,s2519,s1029,s904,s10268,s8744,s11277,s10486,s1503,s1496,s10619,s271,s11280,s996,s5153,s724,s4007,s805,s1259,s5900,s91]) ).
cnf(s11282,plain,
( ~ spl2_278
| spl2_139
| ~ spl2_100
| ~ spl2_454
| spl2_84
| ~ spl2_26
| ~ spl2_20
| ~ spl2_98
| ~ spl2_17
| ~ spl2_246
| ~ spl2_291
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s12,s10383,s11062,s11279,s10619,s6803,s10486,s4929,s10394,s11281,s330,s2978,s1263,s4007,s805,s1259,s5900,s91]) ).
cnf(s11283,plain,
( spl2_234
| spl2_278
| spl2_139
| spl2_84
| ~ spl2_26
| ~ spl2_20
| ~ spl2_98
| ~ spl2_17
| ~ spl2_246
| ~ spl2_291
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s11278,s10279,s10445,s1347,s8646,s4390,s2642,s445,s4995,s11185,s851,s4295,s10767,s749,s9523,s9720,s859,s888,s5038,s1699,s724,s829,s1263,s4007,s805,s1259,s5900,s91]) ).
cnf(s11284,plain,
( spl2_139
| ~ spl2_100
| ~ spl2_454
| spl2_84
| ~ spl2_26
| ~ spl2_20
| ~ spl2_98
| ~ spl2_17
| ~ spl2_246
| ~ spl2_291
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s6186,s10767,s4944,s707,s6803,s10486,s4929,s10511,s10519,s11283,s11282,s4007,s805,s724,s5038,s1699,s1259,s5900,s91]) ).
cnf(s11285,plain,
( spl2_44
| ~ spl2_204
| spl2_234
| ~ spl2_139
| ~ spl2_98
| ~ spl2_17 ),
inference(rat,[],[s11193,s1690,s10585]) ).
cnf(s11286,plain,
( spl2_234
| ~ spl2_139
| ~ spl2_549
| spl2_308
| ~ spl2_104
| ~ spl2_98
| ~ spl2_17
| ~ spl2_203 ),
inference(rat,[],[s2642,s851,s11037,s3786,s4295,s2096,s10699,s11285,s4995,s4007,s402,s10813,s859,s10714,s888]) ).
cnf(s11287,plain,
( spl2_44
| ~ spl2_234
| ~ spl2_139
| ~ spl2_549
| ~ spl2_104
| ~ spl2_26
| ~ spl2_98
| ~ spl2_17 ),
inference(rat,[],[s4007,s10519,s402,s4939,s6545,s10661,s4929,s10585,s10486]) ).
cnf(s11288,plain,
( ~ spl2_278
| ~ spl2_44
| ~ spl2_234
| ~ spl2_139
| ~ spl2_549
| spl2_308
| ~ spl2_26
| ~ spl2_98
| ~ spl2_17
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s452,s707,s13,s4929,s10388,s4939,s1845,s10519,s4007,s10493]) ).
cnf(s11289,plain,
( ~ spl2_20
| ~ spl2_98
| ~ spl2_17
| ~ spl2_246
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s851,s3406,s3786,s9111,s2590,s402,s8539,s6421,s6545,s11288,s11287,s11286,s11284,s1017,s5900,s5901,s91,s888,s120,s5152,s10521,s5038,s18,s1699,s23,s261,s1259,s27,s2739,s11276,s330,s2978,s28]) ).
cnf(s11290,plain,
( spl2_44
| ~ spl2_26
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11081,s10609,s28,s27]) ).
cnf(s11291,plain,
( spl2_84
| ~ spl2_44
| ~ spl2_26
| spl2_234
| spl2_139
| ~ spl2_145
| ~ spl2_14
| ~ spl2_17
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10498,s10631,s1497,s805,s1259]) ).
cnf(s11292,plain,
( ~ spl2_26
| spl2_234
| spl2_139
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_203
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s912,s4055,s11082,s10498,s6565,s4929,s6691,s6718,s9419,s9593,s11291,s11290,s27,s2838,s2739,s11276,s805,s1259,s28]) ).
cnf(s11293,plain,
( ~ spl2_178
| spl2_346
| ~ spl2_345
| spl2_132
| spl2_181
| spl2_44
| spl2_299
| ~ spl2_145
| ~ spl2_17 ),
inference(rat,[],[s4715,s6677,s6801,s5350,s9356,s11182,s10751,s2642,s926,s445]) ).
cnf(s11294,plain,
( ~ spl2_301
| ~ spl2_345
| spl2_132
| spl2_181
| spl2_44
| spl2_120
| spl2_299
| ~ spl2_204
| ~ spl2_141
| spl2_244
| spl2_93
| ~ spl2_145
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17 ),
inference(rat,[],[s11234,s5937,s2641,s8646,s9496,s4809,s6940,s526,s4715,s453,s10250,s7,s154,s9732,s3096,s10715,s11293,s4995,s445]) ).
cnf(s11295,plain,
( spl2_92
| ~ spl2_144
| ~ spl2_111
| ~ spl2_94
| ~ spl2_345
| ~ spl2_191
| spl2_132
| ~ spl2_333
| spl2_44
| ~ spl2_278
| ~ spl2_100
| spl2_299
| spl2_139
| ~ spl2_145
| ~ spl2_98
| ~ spl2_17
| ~ spl2_203 ),
inference(rat,[],[s4715,s526,s1601,s4809,s10964,s10645,s10383,s4932,s9733,s7,s11186,s5995,s11181,s4170,s10751,s201]) ).
cnf(s11296,plain,
( spl2_234
| spl2_299
| spl2_139
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_203
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s8961,s1041,s8871,s529,s4055,s9632,s8384,s912,s9496,s4809,s1164,s3094,s6940,s526,s2078,s4715,s4171,s453,s5995,s7,s9732,s10715,s926,s11295,s2025,s4438,s504,s10250,s154,s3476,s4007,s11294,s6691,s445,s6718,s9419,s9593,s11185,s11180,s1948,s10268,s8,s1503,s11173,s642,s11207,s11292,s10232,s27,s829,s5153,s724,s1263,s120,s3169,s1496,s805,s1259,s2838,s2739,s11276,s28]) ).
cnf(s11297,plain,
( ~ spl2_26
| ~ spl2_234
| spl2_139
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11107,s10632,s4929,s2590,s707,s11290,s27,s5153,s724,s1496,s805,s1259,s28,s2838,s2739,s11276]) ).
cnf(s11298,plain,
( spl2_139
| ~ spl2_98
| ~ spl2_17
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s5388,s5381,s8844,s9052,s8870,s8869,s8871,s9513,s7815,s9632,s5669,s912,s9496,s4809,s1164,s428,s6940,s2522,s526,s2078,s4715,s4171,s453,s5995,s7,s445,s9732,s10715,s11185,s1343,s1948,s1670,s1503,s5969,s5540,s642,s11207,s4953,s11297,s1667,s1817,s11296,s2751,s1222,s1496,s1263,s5153,s829,s805,s724,s1259,s27,s330,s2978,s28,s2838,s10697,s11289,s1664,s2739,s11276]) ).
cnf(s11299,plain,
( ~ spl2_278
| ~ spl2_346
| ~ spl2_549
| spl2_226
| spl2_234
| ~ spl2_139
| ~ spl2_14
| ~ spl2_17
| ~ spl2_203
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4995,s4007,s11175,s10493]) ).
cnf(s11300,plain,
( spl2_84
| spl2_234
| ~ spl2_44
| ~ spl2_139
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_203
| ~ spl2_291
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4388,s4903,s4995,s172,s11213,s9791,s11299,s2096,s5900,s1497,s91,s2838,s859]) ).
cnf(s11301,plain,
( spl2_234
| ~ spl2_44
| ~ spl2_26
| ~ spl2_139
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_203
| ~ spl2_291
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s11175,s10551,s6370,s4929,s201,s4754,s6718,s9419,s11300,s6074,s859]) ).
cnf(s11302,plain,
( spl2_204
| ~ spl2_26
| ~ spl2_139
| ~ spl2_145
| ~ spl2_17
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s10493,s6545,s1496,s6421]) ).
cnf(s11303,plain,
( ~ spl2_26
| ~ spl2_139
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_203
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11107,s1497,s4929,s2590,s707,s11302,s11301,s11290,s28,s27,s2838,s2739,s11276]) ).
cnf(s11304,plain,
( spl2_44
| spl2_234
| spl2_26
| ~ spl2_139
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_203
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s11208,s11179,s11285]) ).
cnf(s11305,plain,
( spl2_234
| spl2_26
| ~ spl2_139
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_203
| ~ spl2_291
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s5952,s11179,s6370,s201,s6718,s9419,s11300,s11304,s6074,s4953]) ).
cnf(s11306,plain,
( spl2_204
| spl2_44
| ~ spl2_234
| spl2_26
| ~ spl2_139
| ~ spl2_145
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| spl2_211
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s11274,s120,s1497,s2466,s11107,s10383,s9732,s9300,s4944,s5937,s1845,s10519,s5938,s7,s10792,s10830,s1496,s452,s11179,s330,s10486]) ).
cnf(s11307,plain,
( spl2_44
| ~ spl2_234
| spl2_26
| ~ spl2_139
| ~ spl2_145
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_9
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10519,s6993,s8511,s1292,s4754,s711,s1670,s5540,s6186,s8,s5969,s1667,s1690,s11194,s11223,s1817,s11306,s1259,s330,s2978,s1664,s4953]) ).
cnf(s11308,plain,
( spl2_204
| ~ spl2_44
| ~ spl2_234
| spl2_26
| ~ spl2_139
| ~ spl2_145
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_203
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s1498,s4986,s11205,s8556,s201,s10603,s5027,s6601,s2096,s1497,s379,s2025,s604,s2031,s10792,s733,s1496,s6421,s452,s11179,s4953,s394,s405]) ).
cnf(s11309,plain,
( ~ spl2_98
| ~ spl2_17
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11225,s10751,s9300,s3478,s642,s2590,s707,s11308,s10383,s394,s11307,s11305,s405,s11303,s11298,s2838,s10697,s11289,s27,s2739,s11276,s330,s2978,s1664,s28]) ).
cnf(s11310,plain,
( spl2_204
| spl2_202
| spl2_18
| spl2_44
| spl2_212
| ~ spl2_26
| ~ spl2_20
| ~ spl2_139
| ~ spl2_75
| spl2_192
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s12,s10383,s271,s10437,s1496,s452]) ).
cnf(s11311,plain,
( ~ spl2_29
| spl2_364
| ~ spl2_204
| spl2_202
| spl2_44
| spl2_212
| spl2_234
| ~ spl2_26
| ~ spl2_20
| ~ spl2_139
| ~ spl2_75
| spl2_192
| ~ spl2_17
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10560,s1683,s5995,s10429,s1237,s10437,s1029,s996,s888,s5038,s1699,s1259,s10585]) ).
cnf(s11312,plain,
( spl2_44
| spl2_212
| spl2_234
| ~ spl2_26
| ~ spl2_20
| ~ spl2_139
| ~ spl2_75
| spl2_94
| spl2_192
| ~ spl2_17
| ~ spl2_246
| ~ spl2_291
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10333,s1748,s2841,s8945,s10489,s2031,s10383,s11311,s7106,s10963,s10404,s10268,s1690,s11310,s1263,s10493,s6545,s11259,s10585,s330,s2978,s888,s5038,s1699,s1259]) ).
cnf(s11313,plain,
( spl2_132
| ~ spl2_301
| ~ spl2_204
| ~ spl2_44
| spl2_234
| spl2_308
| ~ spl2_104
| ~ spl2_26
| spl2_93
| ~ spl2_139
| ~ spl2_17
| ~ spl2_203
| ~ spl2_291
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s10564,s5995,s2841,s13,s10962,s10388,s4948,s11054,s11037,s4389,s11053,s10714,s1263,s402,s2096,s4995]) ).
cnf(s11314,plain,
( spl2_234
| ~ spl2_26
| ~ spl2_20
| spl2_98
| ~ spl2_17
| ~ spl2_246
| ~ spl2_291
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s10430,s4986,s5078,s11017,s10383,s9074,s5329,s12,s10532,s3048,s5704,s1199,s11056,s11052,s11050,s9118,s11313,s10751,s2096,s10619,s4995,s4007,s402,s11047,s11312,s364,s155,s5186,s761,s330,s2978,s2017,s4776,s186,s10440,s5900,s1790,s5118,s1547,s5901,s91,s161,s583,s888,s5038,s1699,s1259]) ).
cnf(s11315,plain,
( spl2_44
| spl2_748
| ~ spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_549
| ~ spl2_139
| ~ spl2_17
| ~ spl2_203
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s1200,s1690,s11080,s452,s5995,s13,s10388,s4939,s1845,s10519,s4007,s5383,s10493,s6545,s10585]) ).
cnf(s11316,plain,
( spl2_204
| ~ spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_549
| ~ spl2_139
| ~ spl2_17
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s10388,s4939,s1845,s10519,s4007,s10493,s6545,s7,s6421,s452]) ).
cnf(s11317,plain,
( ~ spl2_20
| spl2_98
| ~ spl2_17
| ~ spl2_246
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s10334,s10456,s10962,s2131,s469,s2841,s3989,s5704,s10429,s3219,s1029,s10383,s12,s1390,s4995,s4007,s1263,s10280,s10751,s402,s2590,s11316,s11315,s5458,s11314,s888,s5038,s1699,s23,s261,s27,s330,s2978,s4776,s186,s10440,s5900,s91,s161,s1259,s28,s2739,s11276]) ).
cnf(s11318,plain,
( spl2_44
| ~ spl2_14
| spl2_98
| ~ spl2_17
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s5995,s11091,s10609,s2017,s4776,s186,s11302,s2838,s2739,s11276,s10440,s91,s161,s1259,s11275,s28,s27]) ).
cnf(s11319,plain,
( ~ spl2_17
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11060,s7,s2590,s5995,s11085,s11318,s11302,s1497,s11275,s2838,s10697,s11317,s10440,s91,s161,s11309,s1259,s27,s2739,s11276,s330,s2978,s1664,s28]) ).
cnf(s11320,plain,
( spl2_204
| spl2_234
| ~ spl2_26
| ~ spl2_98
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s230,s11118,s3096,s10715,s2448,s1504,s91,s5874,s11107,s4390,s4389,s4388,s8869,s201,s4295,s11161,s6370,s9720,s6545,s733,s1496,s11146,s10288,s27,s11151,s2838,s2739,s11276,s22,s5118,s2756,s11170,s330,s2978,s1664,s6074,s11093,s10697,s72,s28,s1259,s11319]) ).
cnf(s11321,plain,
( spl2_234
| ~ spl2_26
| ~ spl2_98
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11133,s13,s6370,s5995,s201,s4170,s6718,s9419,s926,s1504,s10715,s1926,s1690,s11320,s6074,s27,s2838,s2739,s11276,s11093,s11170,s330,s2978,s1664,s10697,s72,s11319,s28,s1259]) ).
cnf(s11322,plain,
( spl2_204
| ~ spl2_26
| ~ spl2_98
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s8870,s9369,s8844,s9760,s2848,s10519,s4944,s9732,s8869,s11120,s11161,s10791,s13,s6545,s733,s452,s11146,s10288,s27,s11151,s2838,s2739,s11276,s22,s5118,s2756,s11093,s11170,s330,s2978,s1664,s10697,s72,s11319,s28,s1259,s11321]) ).
cnf(s11323,plain,
( ~ spl2_278
| ~ spl2_26
| ~ spl2_98
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s5995,s13,s11136,s11133,s27,s11093,s11170,s330,s2978,s1664,s10697,s72,s11319,s28,s1259,s11322]) ).
cnf(s11324,plain,
( ~ spl2_26
| ~ spl2_98
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s5995,s11137,s10791,s6545,s11323,s10268,s1690,s11322,s11321,s11170,s330,s2978,s1664,s11093,s10697,s72,s28,s1259,s11319]) ).
cnf(s11325,plain,
( spl2_234
| ~ spl2_202
| spl2_44
| ~ spl2_33
| spl2_26
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_145
| ~ spl2_14
| ~ spl2_31
| ~ spl2_203
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s11118,s2448,s230,s11156,s3096,s10715,s8,s1504,s91,s11241,s11107,s4389,s201,s4295,s6370,s9720,s6074,s10493]) ).
cnf(s11326,plain,
( ~ spl2_202
| spl2_44
| ~ spl2_98
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s9795,s6937,s11255,s201,s11156,s11251,s6807,s19,s8,s11250,s11325,s10493,s27,s330,s2978,s1664,s10383,s1988,s11151,s2838,s2739,s11276,s22,s5118,s2756,s11093,s10697,s72,s28,s1259,s4953,s20,s11324,s11319]) ).
cnf(s11327,plain,
( spl2_234
| ~ spl2_678
| spl2_278
| spl2_44
| ~ spl2_98
| ~ spl2_139
| ~ spl2_145
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s11107,s1504,s201,s10715,s6370,s7589,s6074]) ).
cnf(s11328,plain,
( spl2_44
| ~ spl2_98
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s9795,s6937,s11246,s201,s6807,s5540,s19,s1667,s8,s1817,s11250,s11327,s10793,s11129,s3122,s1503,s1496,s11326,s27,s330,s2978,s1664,s11151,s2838,s2739,s11276,s22,s5118,s2756,s11093,s10697,s72,s28,s1259,s11319,s4953,s11324]) ).
cnf(s11329,plain,
( ~ spl2_132
| ~ spl2_44
| ~ spl2_308
| ~ spl2_145
| ~ spl2_37
| ~ spl2_149 ),
inference(rat,[],[s2096,s1497,s5027,s11107]) ).
cnf(s11330,plain,
( spl2_204
| ~ spl2_98
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s6807,s6937,s19,s9795,s8,s11244,s11250,s6074,s6370,s10493,s1496,s330,s2978,s1664,s10383,s1988,s11093,s11151,s22,s201,s11329,s11328,s4953,s11324,s2838,s10697,s72,s11319,s28,s1259,s2739,s11276,s27]) ).
cnf(s11331,plain,
( ~ spl2_98
| ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s912,s4055,s7143,s2058,s4986,s1497,s2025,s2590,s2519,s6074,s1498,s6370,s11056,s642,s11330,s201,s11329,s11328,s4953,s11324,s27,s330,s2978,s1664,s2838,s2739,s11276,s11093,s10697,s72,s28,s1259,s11319]) ).
cnf(s11332,plain,
( ~ spl2_9
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s1497,s118,s161,s11331,s2838,s10697,s72,s22,s11319,s1259,s28,s2739,s11276]) ).
cnf(s11333,plain,
( ~ spl2_20
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s10521,s1699,s23,s72,s261,s1259,s28,s27,s997,s4,s11332,s11276]) ).
cnf(s11334,plain,
( spl2_139
| ~ spl2_17
| ~ spl2_26
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s1270,s11292,s10498,s11297,s805,s2838,s10697,s11333,s2739,s10491,s6565,s4929,s6718,s27,s9419,s161,s997,s4,s11332,s11276,s1259,s28]) ).
cnf(s11335,plain,
( ~ spl2_139
| ~ spl2_17
| spl2_78
| ~ spl2_712
| ~ spl2_98
| ~ spl2_44
| ~ spl2_204 ),
inference(rat,[],[s707,s10551]) ).
cnf(s11336,plain,
( ~ spl2_17
| ~ spl2_26
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11335,s11302,s11334,s10491,s161,s1259,s28,s4754,s2838,s10697,s11333,s2739,s4929,s6718,s27,s9419,s997,s4,s11332,s11276]) ).
cnf(s11337,plain,
( spl2_204
| ~ spl2_191
| ~ spl2_139
| spl2_17
| ~ spl2_26
| ~ spl2_145
| spl2_132
| ~ spl2_98
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149 ),
inference(rat,[],[s8870,s9369,s8844,s9760,s8869,s2848,s10519,s6074,s11161,s4944,s6370,s6545,s733,s9732,s9731,s10493,s13,s1496,s452,s10288,s201,s5118,s2756]) ).
cnf(s11338,plain,
( ~ spl2_278
| spl2_44
| ~ spl2_26
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s6130,s10962,s5383,s2841,s10488,s1270,s330,s11133,s13,s5995,s1263,s11136,s10493,s11337,s11151,s22,s11093,s11336,s2838,s10697,s11333,s2739,s6718,s9419,s161,s997,s4,s11332,s11276,s1259,s27,s28]) ).
cnf(s11339,plain,
( spl2_44
| ~ spl2_26
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s10492,s4945,s10964,s6794,s1476,s11124,s10715,s9460,s1478,s1270,s926,s3100,s5131,s11137,s4170,s11246,s5995,s11327,s10791,s6545,s11338,s10793,s10268,s1690,s201,s5118,s2756,s3122,s11337,s11151,s11093,s2838,s10697,s11333,s2739,s6718,s9419,s161,s997,s4,s11332,s11276,s1259,s27,s28,s22,s11336]) ).
cnf(s11340,plain,
( ~ spl2_26
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s379,s604,s1263,s9218,s2841,s10962,s2457,s3094,s1498,s1041,s3841,s6074,s1270,s330,s6370,s11170,s11159,s11339,s11337,s11151,s11093,s22,s11336,s161,s1259,s28,s201,s6718,s27,s9419,s997,s4,s11332,s2838,s10697,s11333,s2739,s11276]) ).
cnf(s11341,plain,
( ~ spl2_299
| spl2_44
| ~ spl2_204
| spl2_244
| ~ spl2_278
| spl2_139 ),
inference(rat,[],[s3676,s10962,s468,s10383,s10614,s2078,s2751,s9154,s9128,s9151,s10268,s1690]) ).
cnf(s11342,plain,
( spl2_139
| ~ spl2_17
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s8963,s1041,s8871,s4055,s4128,s9632,s912,s9496,s4809,s7396,s1164,s6940,s526,s2538,s2078,s4715,s4171,s453,s5995,s7,s9732,s10715,s926,s11189,s11296,s11341,s445,s11185,s1948,s10268,s10462,s8,s1690,s642,s1222,s11173,s1496,s1263,s5153,s11207,s829,s805,s724,s161,s1259,s28,s6718,s27,s9419,s6691,s9593,s997,s4,s11332,s2838,s10697,s11333,s2739,s11276,s11340]) ).
cnf(s11343,plain,
( spl2_204
| ~ spl2_78
| ~ spl2_139
| ~ spl2_17
| spl2_26
| ~ spl2_14
| spl2_132
| ~ spl2_98
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s4944,s10519,s9732,s6074,s7,s6370,s10792,s10830,s452,s11179,s201]) ).
cnf(s11344,plain,
( ~ spl2_203
| ~ spl2_558
| ~ spl2_278
| ~ spl2_204
| spl2_44
| ~ spl2_139
| ~ spl2_17
| ~ spl2_14
| ~ spl2_98
| ~ spl2_37
| ~ spl2_149
| ~ spl2_40 ),
inference(rat,[],[s5384,s711,s5383,s8,s11080,s11194,s10268,s1690]) ).
cnf(s11345,plain,
( spl2_44
| ~ spl2_139
| ~ spl2_17
| spl2_26
| ~ spl2_14
| spl2_132
| ~ spl2_98
| ~ spl2_291
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s6130,s10962,s5383,s2841,s10488,s1270,s330,s11344,s5995,s7,s9733,s1845,s4995,s1263,s5057,s5107,s10493,s6186,s11285,s11223,s1690,s11343,s10486,s1259,s2838,s4953]) ).
cnf(s11346,plain,
( spl2_204
| ~ spl2_44
| ~ spl2_139
| ~ spl2_17
| spl2_26
| ~ spl2_145
| ~ spl2_14
| ~ spl2_84
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149
| spl2_4 ),
inference(rat,[],[s604,s379,s2031,s11213,s1496,s6421,s11179,s161,s1259,s394,s405]) ).
cnf(s11347,plain,
( ~ spl2_17
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s1498,s485,s1270,s330,s11225,s10751,s2590,s9300,s3478,s11224,s11335,s642,s11346,s10383,s394,s269,s11345,s11342,s161,s1259,s28,s4754,s6718,s27,s9419,s997,s4,s11332,s2838,s10697,s11333,s2739,s11276,s4953,s405,s11340]) ).
cnf(s11348,plain,
( spl2_204
| spl2_44
| ~ spl2_191
| spl2_29
| ~ spl2_139
| spl2_17
| ~ spl2_308
| ~ spl2_145
| ~ spl2_14
| ~ spl2_98
| ~ spl2_84
| ~ spl2_37
| ~ spl2_38
| ~ spl2_149 ),
inference(rat,[],[s8844,s2848,s8869,s4945,s11161,s10964,s8870,s2031,s11242,s9369,s604,s504,s9760,s379,s11255,s6074,s6370,s733,s10493,s1496,s10288,s201,s6718,s9419,s10383,s5118,s2756]) ).
cnf(s11349,plain,
( spl2_44
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s9741,s8871,s2538,s8834,s1502,s5499,s4128,s6026,s1588,s1347,s6756,s4809,s10964,s10962,s11256,s3676,s4780,s468,s1498,s3841,s2978,s1478,s11228,s1270,s330,s11250,s8,s19,s6807,s8870,s6937,s9369,s3897,s9795,s9760,s4388,s10735,s11255,s11327,s6370,s733,s10793,s10268,s3122,s11129,s1690,s11348,s161,s6691,s9593,s201,s6718,s27,s9419,s997,s4,s11332,s4953,s20,s11340,s11151,s2838,s2739,s11276,s10383,s1988,s22,s28,s1259,s5118,s2756,s11093,s10697,s11333,s11347]) ).
cnf(s11350,plain,
( spl2_204
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s431,s1270,s330,s684,s11250,s8,s19,s6807,s765,s6937,s904,s9795,s379,s11244,s6074,s6370,s10493,s1496,s161,s201,s6718,s27,s9419,s997,s4,s11332,s4953,s11093,s11151,s2838,s10697,s11333,s2739,s11276,s10383,s1988,s22,s11347,s28,s1259,s269,s11349,s11340]) ).
cnf(s11351,plain,
( ~ spl2_203
| ~ spl2_149
| spl2_7
| spl2_4 ),
inference(rat,[],[s11252,s10964,s9795,s10641,s6937,s7143,s6807,s912,s19,s4055,s8,s1498,s11250,s11056,s6691,s9593,s11151,s22,s2838,s2739,s5118,s2756,s6074,s6370,s642,s11350,s11340,s11349,s201,s6718,s27,s9419,s161,s997,s4,s11332,s11276,s1259,s28,s11093,s11347,s10697,s11333]) ).
cnf(s11352,plain,
( spl2_6
| spl2_5
| spl2_4 ),
inference(rat,[],[s1498,s485,s1270,s330,s11351,s269,s11349,s11340,s2838,s10697,s11333,s2739,s11276,s28,s4775,s3842,s1259]) ).
cnf(s11353,plain,
( spl2_7
| spl2_4 ),
inference(rat,[],[s1498,s485,s2838,s1270,s330,s269,s10697,s2739,s11351,s11349,s11340,s11333,s11276,s28,s646,s1259]) ).
cnf(s11354,plain,
( ~ spl2_20
| ~ spl2_38
| ~ spl2_37
| ~ spl2_149
| ~ spl2_26
| ~ spl2_6
| ~ spl2_40 ),
inference(rat,[],[s6421,s6545,s402,s10493,s720,s10440,s10296,s91,s10521,s1699,s72]) ).
cnf(s11355,plain,
( spl2_139
| ~ spl2_31
| spl2_17
| ~ spl2_14
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s8,s236,s271,s1996,s1496,s6807,s3169,s805,s1273]) ).
cnf(s11356,plain,
( spl2_204
| spl2_132
| ~ spl2_98
| spl2_278
| ~ spl2_31
| spl2_17
| ~ spl2_14
| ~ spl2_38
| ~ spl2_37
| ~ spl2_149
| ~ spl2_26
| ~ spl2_40 ),
inference(rat,[],[s11337,s11151,s271,s8,s236,s1996,s6807,s6937,s9795,s10519,s4944,s9732,s10791,s13,s452,s6074,s6370,s201,s11355]) ).
cnf(s11357,plain,
( ~ spl2_98
| ~ spl2_149
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s2394,s9111,s9732,s10791,s13,s5995,s4170,s8969,s9460,s6794,s11356,s154,s10250,s604,s504,s379,s6074,s6370,s5910,s201,s6718,s9419,s10296,s11353,s10493,s720,s11355,s8194,s4041,s3965,s422,s10697,s11354,s2854,s1259,s4869]) ).
cnf(s11358,plain,
( ~ spl2_149
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8,s1199,s10280,s2974,s4776,s118,s161,s186,s11357,s8194,s422,s10697,s11354,s2854,s4869,s1259,s4041,s3965]) ).
cnf(s11359,plain,
( ~ spl2_29
| ~ spl2_206
| ~ spl2_203
| ~ spl2_84
| ~ spl2_98
| ~ spl2_20
| ~ spl2_38
| ~ spl2_650
| spl2_4 ),
inference(rat,[],[s912,s1164,s4055,s10715,s8197,s2058,s310,s2466,s1029]) ).
cnf(s11360,plain,
( ~ spl2_78
| ~ spl2_25
| ~ spl2_84
| ~ spl2_26
| ~ spl2_40 ),
inference(rat,[],[s263,s4438,s498,s9300,s4929]) ).
cnf(s11361,plain,
( ~ spl2_203
| ~ spl2_98
| ~ spl2_20
| ~ spl2_38
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3218,s912,s6580,s4633,s468,s10250,s2519,s504,s310,s6803,s6565,s10486,s11360,s10383,s11359,s423,s4041,s3965,s72,s1259,s10296]) ).
cnf(s11362,plain,
( spl2_139
| spl2_203
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10462,s1222,s1263,s5153,s805,s724,s1259]) ).
cnf(s11367,plain,
( spl2_47
| ~ spl2_197
| ~ spl2_202
| ~ spl2_20 ),
inference(rat,[],[s2031,s604,s1029]) ).
cnf(s11368,plain,
( ~ spl2_197
| ~ spl2_206
| ~ spl2_202
| ~ spl2_20 ),
inference(rat,[],[s435,s1122,s10962,s3325,s7464,s11367]) ).
cnf(s11369,plain,
( spl2_98
| ~ spl2_20
| ~ spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s10333,s2457,s1813,s6580,s8606,s468,s1222,s10383,s2519,s604,s394,s349,s402,s10585,s6421,s11368,s423,s720,s11090,s10440,s2017,s91,s4776,s161,s186,s72,s1259]) ).
cnf(s11370,plain,
( spl2_204
| ~ spl2_202
| ~ spl2_139
| ~ spl2_84
| ~ spl2_98
| ~ spl2_17
| ~ spl2_20 ),
inference(rat,[],[s4010,s6803,s7277,s310,s11367,s6421]) ).
cnf(s11371,plain,
( ~ spl2_20
| ~ spl2_38
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s707,s6074,s11360,s10585,s5093,s10250,s10383,s11367,s604,s504,s1029,s349,s11370,s720,s11362,s11361,s10296,s11369,s72,s1259]) ).
cnf(s11372,plain,
( ~ spl2_47
| ~ spl2_206
| ~ spl2_203
| ~ spl2_84
| ~ spl2_202
| ~ spl2_139 ),
inference(rat,[],[s1813,s8551,s10962,s4055,s10714,s7464,s2058,s379]) ).
cnf(s11373,plain,
( ~ spl2_203
| ~ spl2_98
| ~ spl2_139
| ~ spl2_6 ),
inference(rat,[],[s10333,s6797,s1813,s10603,s6074,s912,s8606,s5093,s4633,s1222,s10250,s2519,s604,s504,s11372,s423,s720,s10296]) ).
cnf(s11374,plain,
( ~ spl2_47
| ~ spl2_180
| ~ spl2_84
| spl2_93
| ~ spl2_202 ),
inference(rat,[],[s9257,s4772,s7276,s8869,s4128,s10735,s10714,s3619,s4555,s2058,s7277,s379]) ).
cnf(s11375,plain,
( ~ spl2_98
| ~ spl2_139
| spl2_17
| ~ spl2_14
| ~ spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s10334,s7968,s10735,s4937,s5431,s10519,s5381,s8646,s4945,s5386,s8870,s10964,s6074,s8871,s5861,s9496,s6756,s10962,s8606,s5093,s8961,s4782,s4650,s9218,s1222,s10250,s650,s604,s504,s11374,s657,s3094,s445,s1041,s3841,s2978,s11228,s1270,s330,s11373,s10296,s1259,s720,s5118,s2756]) ).
cnf(s11376,plain,
( ~ spl2_38
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8,s1199,s10280,s2974,s4776,s118,s161,s186,s11375,s11355,s8194,s422,s10697,s11371,s1259,s4041,s3965]) ).
cnf(s11377,plain,
( ~ spl2_47
| ~ spl2_206
| ~ spl2_203
| ~ spl2_20
| ~ spl2_84
| ~ spl2_98 ),
inference(rat,[],[s912,s1164,s4055,s10715,s4002,s2058,s310,s4105]) ).
cnf(s11378,plain,
( ~ spl2_203
| ~ spl2_17
| ~ spl2_98
| ~ spl2_6 ),
inference(rat,[],[s3218,s912,s6580,s6565,s10486,s4633,s468,s9300,s10250,s10383,s2519,s504,s1029,s11377,s423,s10296,s8212,s3965]) ).
cnf(s11379,plain,
( ~ spl2_47
| ~ spl2_20
| ~ spl2_17
| ~ spl2_84
| ~ spl2_98
| ~ spl2_26
| ~ spl2_40 ),
inference(rat,[],[s6487,s1237,s1258,s10383,s888,s11360,s3786,s3289,s6803,s851,s2058,s310,s996]) ).
cnf(s11380,plain,
( spl2_246
| ~ spl2_286
| ~ spl2_120
| ~ spl2_18
| ~ spl2_92
| ~ spl2_20
| ~ spl2_84 ),
inference(rat,[],[s4581,s1830,s1906]) ).
cnf(s11381,plain,
( spl2_234
| ~ spl2_173
| ~ spl2_170
| ~ spl2_18
| spl2_204
| ~ spl2_346
| ~ spl2_92
| ~ spl2_119
| ~ spl2_20
| spl2_278
| ~ spl2_84
| ~ spl2_98
| ~ spl2_7 ),
inference(rat,[],[s8945,s7106,s1748,s11380,s1113,s10232,s154,s5910,s5027,s10767,s859]) ).
cnf(s11382,plain,
( spl2_206
| ~ spl2_18
| spl2_204
| spl2_202
| spl2_212
| ~ spl2_346
| ~ spl2_92
| ~ spl2_119
| spl2_196
| spl2_306
| ~ spl2_20
| spl2_278
| ~ spl2_84
| ~ spl2_98
| ~ spl2_7 ),
inference(rat,[],[s8945,s7106,s1748,s1906,s154,s3377,s1508,s4948,s9734,s10456,s2848,s6601,s11381,s10962,s10963,s9223,s8301,s10502,s1041,s1263]) ).
cnf(s11383,plain,
( spl2_234
| ~ spl2_170
| ~ spl2_18
| spl2_204
| ~ spl2_92
| ~ spl2_44
| ~ spl2_119
| spl2_196
| ~ spl2_211
| ~ spl2_20
| spl2_278
| ~ spl2_84
| ~ spl2_98
| ~ spl2_7 ),
inference(rat,[],[s1122,s485,s9221,s2822,s10962,s10767,s11381,s859,s2096]) ).
cnf(s11384,plain,
( spl2_204
| spl2_202
| spl2_47
| spl2_196
| spl2_306
| ~ spl2_211
| ~ spl2_20
| ~ spl2_17
| spl2_278
| ~ spl2_84
| ~ spl2_98
| ~ spl2_7 ),
inference(rat,[],[s154,s5910,s11380,s5027,s1113,s10767,s9734,s6186,s1115,s6549,s11383,s4713,s10963,s8725,s2519,s11382,s12,s271,s1496,s641,s10250,s372,s4996,s2096,s6565,s10486,s6803,s9300,s504,s10383,s2738,s1029,s1263]) ).
cnf(s11385,plain,
( spl2_206
| ~ spl2_244
| ~ spl2_120
| ~ spl2_18
| spl2_202
| ~ spl2_92
| spl2_196
| ~ spl2_20
| ~ spl2_84 ),
inference(rat,[],[s8945,s7106,s1748,s11380,s1113,s10962,s10963,s9223,s8301,s1041,s1263]) ).
cnf(s11386,plain,
( spl2_202
| spl2_47
| spl2_196
| spl2_306
| ~ spl2_211
| ~ spl2_20
| ~ spl2_17
| spl2_278
| spl2_139
| ~ spl2_84
| ~ spl2_98
| ~ spl2_7 ),
inference(rat,[],[s1113,s10963,s11380,s8725,s2519,s11385,s10232,s154,s12,s3476,s889,s4007,s2822,s4995,s2590,s351,s11384,s1263,s641,s10250,s2096,s6565,s10486,s9300,s504,s10383,s1029]) ).
cnf(s11387,plain,
( spl2_234
| spl2_204
| spl2_244
| ~ spl2_346
| ~ spl2_119
| spl2_278
| ~ spl2_98
| ~ spl2_7 ),
inference(rat,[],[s5910,s5027,s154,s10767,s10232,s859]) ).
cnf(s11388,plain,
( spl2_246
| ~ spl2_173
| spl2_206
| ~ spl2_234
| ~ spl2_335
| spl2_212
| ~ spl2_119
| spl2_306
| spl2_229 ),
inference(rat,[],[s3377,s1508,s154,s4948,s1906,s2848,s10456,s4937,s10963,s3673]) ).
cnf(s11389,plain,
( ~ spl2_19
| spl2_206
| ~ spl2_44
| spl2_186
| ~ spl2_211
| spl2_149 ),
inference(rat,[],[s2822,s431,s890]) ).
cnf(s11390,plain,
( spl2_206
| ~ spl2_234
| ~ spl2_195
| spl2_207
| spl2_244
| ~ spl2_178
| ~ spl2_92
| ~ spl2_44
| ~ spl2_25
| spl2_196
| spl2_221
| spl2_186
| ~ spl2_211
| spl2_149 ),
inference(rat,[],[s3218,s8298,s8293,s10735,s10963,s10519,s4937,s4944,s6601,s9734,s12,s11389,s10962,s9218,s1041]) ).
cnf(s11391,plain,
( spl2_204
| ~ spl2_202
| spl2_47
| spl2_196
| spl2_221
| spl2_186
| ~ spl2_211
| ~ spl2_20
| ~ spl2_17
| spl2_278
| ~ spl2_250
| ~ spl2_84
| ~ spl2_98
| spl2_149
| ~ spl2_7 ),
inference(rat,[],[s6186,s10767,s1115,s6063,s4713,s7279,s10963,s10962,s3673,s3671,s2519,s11390,s6549,s11387,s10288,s641,s6803,s2096,s6565,s10486,s9300,s10383,s1029,s1222,s5093,s604,s10250,s504]) ).
cnf(s11392,plain,
( ~ spl2_191
| spl2_363
| ~ spl2_644
| ~ spl2_309
| ~ spl2_204
| ~ spl2_44
| spl2_93
| spl2_278
| ~ spl2_98 ),
inference(rat,[],[s1347,s8646,s10445,s4390]) ).
cnf(s11393,plain,
( spl2_206
| ~ spl2_287
| ~ spl2_112
| ~ spl2_644
| ~ spl2_132
| spl2_226
| ~ spl2_324
| ~ spl2_204
| spl2_207
| spl2_244
| spl2_212
| ~ spl2_178
| ~ spl2_44
| spl2_203
| ~ spl2_17
| spl2_139
| ~ spl2_98
| spl2_38
| spl2_4 ),
inference(rat,[],[s9325,s8870,s656,s5381,s9524,s5386,s8871,s8869,s9673,s7575,s715,s4764,s5562,s445,s11392,s4937,s10963,s3356,s2448,s428,s5512,s8039,s10962,s5759,s8182,s9218,s1508,s1041,s1259,s724,s829,s733,s5518,s330,s5243,s451,s7471,s11353,s888,s2822,s351]) ).
cnf(s11394,plain,
( spl2_269
| spl2_216
| ~ spl2_170
| ~ spl2_173
| spl2_226
| spl2_244
| spl2_249
| spl2_203
| ~ spl2_231
| spl2_93
| ~ spl2_250
| spl2_4 ),
inference(rat,[],[s9325,s8870,s656,s5381,s9524,s5386,s8871,s8869,s9673,s7575,s715,s4764,s1259,s11353,s4937]) ).
cnf(s11395,plain,
( ~ spl2_17
| spl2_139
| ~ spl2_98
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s526,s6144,s10445,s4390,s657,s445,s5562,s11394,s428,s1146,s4713,s10963,s10962,s3673,s3671,s2519,s11393,s8295,s9734,s12,s3377,s4295,s9519,s889,s888,s154,s9720,s859,s10714,s2822,s2374,s4995,s2590,s351,s11391,s5093,s1222,s604,s11386,s372,s4996,s2096,s6803,s6565,s10486,s9300,s10250,s10383,s2738,s504,s1029,s11379,s8556,s451,s5243,s661,s7471,s330,s11378,s9512,s8212,s1259,s3965,s11358,s10296,s724,s829,s733,s641,s5518,s11376,s11353]) ).
cnf(s11397,plain,
( ~ spl2_171
| spl2_246
| spl2_47
| spl2_229 ),
inference(rat,[],[s604,s1263,s1222,s8725,s3673]) ).
cnf(s11398,plain,
( spl2_234
| spl2_391
| ~ spl2_208
| ~ spl2_178
| ~ spl2_203
| spl2_308
| spl2_93
| spl2_278
| ~ spl2_98 ),
inference(rat,[],[s4995,s9519,s2642,s5512,s2448,s4389,s4295,s10767,s9720,s859]) ).
cnf(s11399,plain,
( ~ spl2_203
| ~ spl2_20
| spl2_19
| spl2_308
| ~ spl2_31
| spl2_229
| spl2_93
| spl2_278
| ~ spl2_98
| spl2_149
| ~ spl2_6 ),
inference(rat,[],[s604,s9764,s9734,s6613,s5632,s10962,s2061,s10456,s11398,s4713,s10963,s11397,s3158,s912,s1199,s4633,s12,s10250,s10383,s504,s1029,s2519,s11377,s423,s10296]) ).
cnf(s11400,plain,
( ~ spl2_94
| ~ spl2_132
| ~ spl2_84
| ~ spl2_40 ),
inference(rat,[],[s263,s4438,s498]) ).
cnf(s11401,plain,
( ~ spl2_47
| ~ spl2_818
| ~ spl2_204
| spl2_234
| spl2_203
| ~ spl2_20
| spl2_19
| ~ spl2_309
| spl2_93
| spl2_278
| ~ spl2_250
| ~ spl2_84
| ~ spl2_98
| spl2_38
| ~ spl2_26
| ~ spl2_40 ),
inference(rat,[],[s9235,s7847,s10963,s8868,s3356,s9672,s8857,s1347,s8794,s8364,s8646,s10964,s8451,s307,s9659,s2369,s8869,s7575,s5588,s4764,s5562,s445,s11392,s5512,s5603,s4007,s3476,s154,s5093,s10232,s5078,s10383,s12,s1199,s10250,s11400,s1690,s9732,s10791,s13,s5995,s4170,s3289,s2058,s349,s310,s733,s7471,s10714,s859,s4295,s9720]) ).
cnf(s11402,plain,
( spl2_44
| ~ spl2_18
| spl2_94
| ~ spl2_204
| spl2_278
| ~ spl2_98
| ~ spl2_26 ),
inference(rat,[],[s5995,s10791,s4170,s1690,s129]) ).
cnf(s11404,plain,
( ~ spl2_181
| spl2_194
| ~ spl2_173
| ~ spl2_170
| ~ spl2_455
| spl2_202
| ~ spl2_818
| spl2_226
| spl2_203
| ~ spl2_231
| spl2_93
| ~ spl2_250
| spl2_38
| ~ spl2_40 ),
inference(rat,[],[s9329,s8870,s656,s6195,s9524,s8868,s8871,s8793,s8105,s307,s9659,s8869,s6897,s7575,s4788,s4764,s5562,s7471,s1122]) ).
cnf(s11405,plain,
( ~ spl2_363
| spl2_391
| ~ spl2_178
| ~ spl2_204
| spl2_226
| spl2_93
| spl2_278 ),
inference(rat,[],[s4995,s9519,s2642,s5512]) ).
cnf(s11406,plain,
( spl2_206
| spl2_202
| ~ spl2_181
| ~ spl2_44
| ~ spl2_818
| ~ spl2_204
| spl2_226
| spl2_203
| ~ spl2_231
| spl2_93
| ~ spl2_250
| spl2_38
| ~ spl2_40 ),
inference(rat,[],[s11404,s3220,s10962,s10963,s9223,s8301,s10502,s1041,s8556,s7471,s1263]) ).
cnf(s11407,plain,
( spl2_202
| spl2_189
| spl2_390
| ~ spl2_181
| ~ spl2_44
| ~ spl2_109
| ~ spl2_18
| spl2_94
| spl2_47
| ~ spl2_818
| ~ spl2_204
| spl2_226
| spl2_221
| spl2_203
| spl2_229
| ~ spl2_231
| spl2_93
| ~ spl2_250
| spl2_38
| ~ spl2_40 ),
inference(rat,[],[s1222,s3671,s4518,s10962,s573,s6195,s5381,s8844,s1820,s8870,s10964,s9329,s7960,s656,s9524,s8871,s8868,s8105,s8793,s1122,s3220,s10963,s11397,s2519,s11406,s4788,s6897,s4764,s7471,s307,s9659,s8869,s7575,s5562]) ).
cnf(s11408,plain,
( spl2_206
| ~ spl2_112
| spl2_212
| spl2_207
| spl2_244
| spl2_269
| spl2_363
| spl2_226
| ~ spl2_324
| spl2_249
| spl2_203
| ~ spl2_231
| spl2_93
| ~ spl2_250
| ~ spl2_98
| spl2_4 ),
inference(rat,[],[s10334,s11394,s3356,s1142,s10962,s2448,s9218,s1508,s1041,s5243,s451,s11353]) ).
cnf(s11409,plain,
( spl2_234
| spl2_203
| ~ spl2_20
| spl2_308
| ~ spl2_31
| spl2_139
| ~ spl2_84
| ~ spl2_98
| spl2_38
| ~ spl2_26
| spl2_4 ),
inference(rat,[],[s9325,s656,s8870,s9524,s6195,s8871,s8868,s8105,s8793,s1122,s4937,s9057,s10962,s10963,s24,s3671,s11397,s1442,s2519,s11408,s3377,s360,s154,s816,s5093,s10232,s1222,s402,s817,s604,s11407,s307,s9659,s8869,s6897,s7575,s715,s4764,s5562,s7410,s445,s11392,s11405,s11402,s3158,s1199,s507,s12,s10250,s10383,s504,s1029,s11401,s8118,s8744,s4295,s10767,s9720,s859,s10714,s1259,s724,s829,s733,s641,s5518,s888,s889,s996,s330,s451,s7471,s11353]) ).
cnf(s11410,plain,
( spl2_206
| ~ spl2_79
| ~ spl2_140
| spl2_202
| ~ spl2_234
| spl2_196 ),
inference(rat,[],[s3416,s8394,s10456,s10962,s10963,s9223,s8301,s10502,s1041,s1263]) ).
cnf(s11411,plain,
( ~ spl2_79
| ~ spl2_140
| ~ spl2_345
| spl2_202
| ~ spl2_646
| ~ spl2_234
| spl2_196 ),
inference(rat,[],[s3416,s4055,s4002,s11410]) ).
cnf(s11412,plain,
( ~ spl2_191
| ~ spl2_644
| ~ spl2_47
| ~ spl2_84
| ~ spl2_6 ),
inference(rat,[],[s7276,s3619,s4390,s657]) ).
cnf(s11413,plain,
( ~ spl2_589
| spl2_269
| ~ spl2_345
| spl2_202
| ~ spl2_231
| ~ spl2_98 ),
inference(rat,[],[s4128,s1347,s656,s9501,s9329,s4788]) ).
cnf(s11414,plain,
( ~ spl2_47
| ~ spl2_234
| spl2_196
| ~ spl2_20
| spl2_19
| spl2_308
| spl2_93
| spl2_278
| ~ spl2_250
| ~ spl2_98
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_40 ),
inference(rat,[],[s8844,s8869,s2848,s7903,s4945,s8707,s10964,s8451,s307,s5262,s8870,s11413,s4788,s5588,s5562,s445,s11412,s1690,s4010,s153,s11411,s2061,s1334,s10383,s12,s1199,s11400,s10633,s9732,s10791,s13,s4295,s5995,s10698,s4170,s3289,s1263,s10715,s2058,s379,s310,s4105,s10296,s733]) ).
cnf(s11415,plain,
( spl2_92
| spl2_202
| ~ spl2_178
| spl2_78
| spl2_47
| ~ spl2_234
| spl2_196
| ~ spl2_20
| spl2_229
| spl2_278
| ~ spl2_84
| ~ spl2_98
| ~ spl2_26 ),
inference(rat,[],[s10334,s11397,s4713,s2519,s2061,s11410,s5632,s10791,s5995,s78,s4170,s10751]) ).
cnf(s11416,plain,
( ~ spl2_118
| spl2_202
| ~ spl2_234
| ~ spl2_250
| ~ spl2_7 ),
inference(rat,[],[s10511,s4007,s5910,s3476]) ).
cnf(s11417,plain,
( spl2_202
| ~ spl2_18
| spl2_78
| spl2_47
| ~ spl2_234
| spl2_196
| spl2_306
| ~ spl2_20
| spl2_278
| ~ spl2_250
| ~ spl2_84
| ~ spl2_98
| ~ spl2_26
| ~ spl2_7 ),
inference(rat,[],[s9734,s1115,s1113,s4713,s10963,s11397,s11380,s2519,s154,s11382,s2590,s11416,s360,s4996,s6549,s2096,s926,s11415,s641,s1029,s10250,s1199,s504]) ).
cnf(s11418,plain,
( ~ spl2_171
| spl2_44
| ~ spl2_195
| spl2_196
| spl2_197 ),
inference(rat,[],[s2078,s8293,s8302]) ).
cnf(s11419,plain,
( ~ spl2_170
| spl2_455
| spl2_321
| spl2_244
| spl2_221 ),
inference(rat,[],[s9218,s10962,s1041,s4937,s4713]) ).
cnf(s11420,plain,
( ~ spl2_20
| spl2_139
| ~ spl2_98
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s844,s2394,s8293,s154,s3088,s5910,s2642,s5512,s2448,s7968,s8298,s10963,s11419,s10735,s2848,s10519,s2061,s4944,s5632,s5093,s9734,s604,s11417,s3158,s1199,s12,s11360,s10250,s10383,s504,s1029,s11414,s11409,s8556,s451,s5243,s7471,s11399,s5899,s1259,s11358,s10296,s724,s829,s733,s641,s5518,s22,s889,s6071,s11395,s11376,s11353]) ).
cnf(s11421,plain,
( ~ spl2_307
| ~ spl2_194
| ~ spl2_206
| ~ spl2_92
| ~ spl2_18
| ~ spl2_84 ),
inference(rat,[],[s129,s2096,s504,s3088,s3326]) ).
cnf(s11422,plain,
( spl2_44
| ~ spl2_304
| ~ spl2_194
| ~ spl2_92 ),
inference(rat,[],[s1164,s10715,s2078,s926]) ).
cnf(s11423,plain,
( ~ spl2_455
| ~ spl2_173
| ~ spl2_234
| ~ spl2_206
| ~ spl2_92
| ~ spl2_18 ),
inference(rat,[],[s9734,s8935,s6601]) ).
cnf(s11424,plain,
( ~ spl2_94
| ~ spl2_171
| ~ spl2_543
| spl2_208
| ~ spl2_141
| ~ spl2_234
| ~ spl2_203
| ~ spl2_18
| spl2_93
| spl2_278
| ~ spl2_84
| ~ spl2_98
| spl2_38
| ~ spl2_26
| ~ spl2_40 ),
inference(rat,[],[s8451,s307,s5588,s5755,s5562,s8868,s445,s8173,s10641,s10964,s4944,s11234,s9734,s5937,s6993,s1845,s10519,s10735,s8298,s7143,s6370,s201,s11400,s912]) ).
cnf(s11425,plain,
( ~ spl2_191
| ~ spl2_15
| spl2_132
| ~ spl2_249
| ~ spl2_346
| ~ spl2_304
| ~ spl2_203
| spl2_93
| ~ spl2_98 ),
inference(rat,[],[s10335,s1968,s10641,s453]) ).
cnf(s11426,plain,
( ~ spl2_47
| ~ spl2_194
| ~ spl2_206
| ~ spl2_203
| ~ spl2_92
| ~ spl2_18
| spl2_105
| spl2_308
| spl2_229
| spl2_93
| spl2_278
| ~ spl2_250
| ~ spl2_84
| ~ spl2_98
| spl2_38
| spl2_149
| ~ spl2_26
| ~ spl2_40 ),
inference(rat,[],[s8869,s8844,s7903,s8870,s4128,s11413,s4788,s9520,s5562,s445,s11425,s10791,s4944,s10511,s10519,s9719,s10735,s1199,s542,s2454,s11424,s8725,s10963,s4937,s11423,s3748,s3958,s11422,s10962,s1536,s912,s8198,s4055,s9764,s1263,s2058,s379,s733,s3897,s9523,s4903,s4389,s11421]) ).
cnf(s11427,plain,
( ~ spl2_194
| ~ spl2_206
| ~ spl2_40
| ~ spl2_203
| ~ spl2_92
| ~ spl2_18
| spl2_105
| spl2_308
| spl2_229
| spl2_93
| spl2_278
| ~ spl2_250
| ~ spl2_84
| ~ spl2_98
| spl2_38
| spl2_149
| ~ spl2_26 ),
inference(rat,[],[s912,s3218,s4633,s129,s10250,s2519,s504,s11426]) ).
cnf(s11428,plain,
( ~ spl2_203
| ~ spl2_92
| ~ spl2_18
| ~ spl2_558
| spl2_105
| spl2_308
| spl2_229
| spl2_93
| spl2_278
| ~ spl2_250
| ~ spl2_98
| spl2_38
| spl2_149
| ~ spl2_26
| ~ spl2_6
| ~ spl2_40 ),
inference(rat,[],[s11427,s4171,s423,s10296]) ).
cnf(s11429,plain,
( spl2_44
| spl2_269
| ~ spl2_47
| spl2_206
| ~ spl2_204
| spl2_226
| spl2_196
| spl2_221
| ~ spl2_92
| ~ spl2_18
| spl2_93
| spl2_278
| ~ spl2_84
| ~ spl2_98
| ~ spl2_40 ),
inference(rat,[],[s8871,s5386,s8961,s5381,s1505,s8870,s10962,s1593,s11413,s9223,s10502,s3307,s7277,s9519,s11400,s711,s129,s1041,s2058,s8869,s7575,s733]) ).
cnf(s11430,plain,
( spl2_202
| ~ spl2_176
| ~ spl2_44
| spl2_601
| spl2_269
| ~ spl2_345
| spl2_206
| ~ spl2_204
| spl2_196
| ~ spl2_231
| spl2_93
| ~ spl2_98 ),
inference(rat,[],[s8868,s8793,s6195,s2457,s8870,s10962,s11413,s9223,s10502,s1041]) ).
cnf(s11431,plain,
( ~ spl2_47
| spl2_206
| spl2_234
| spl2_249
| ~ spl2_92
| ~ spl2_18
| spl2_105
| spl2_308
| ~ spl2_31
| spl2_93
| spl2_278
| ~ spl2_98
| spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s10333,s9218,s6195,s1904,s8844,s8870,s9501,s1347,s573,s8646,s1820,s8868,s10964,s8962,s7960,s656,s11374,s11430,s11405,s3158,s1199,s507,s11400,s9519,s307,s4995,s2435,s3958,s11429,s5392,s8869,s6897,s7575,s715,s4764,s5562,s7410,s445,s11412,s2058,s1259,s10296,s451,s11353,s8556,s733,s10767,s859,s4295,s9720,s1041]) ).
cnf(s11432,plain,
( spl2_202
| ~ spl2_371
| spl2_601
| spl2_593
| ~ spl2_44
| spl2_206
| ~ spl2_204
| spl2_196
| spl2_203
| spl2_93
| ~ spl2_250
| ~ spl2_40 ),
inference(rat,[],[s9329,s656,s8870,s9524,s6195,s8871,s8868,s8105,s8793,s1122,s2457,s10963,s10962,s8301,s9223,s10502,s1263,s1041,s307,s2435,s5392]) ).
cnf(s11433,plain,
( spl2_206
| spl2_234
| spl2_203
| ~ spl2_92
| ~ spl2_18
| spl2_105
| spl2_308
| ~ spl2_31
| spl2_93
| spl2_278
| ~ spl2_250
| ~ spl2_98
| spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3377,s11408,s154,s5093,s10232,s604,s11432,s8869,s6897,s7575,s4788,s4764,s5562,s360,s445,s4996,s11392,s3958,s394,s11405,s3158,s129,s1199,s10250,s504,s11431,s1259,s888,s3009,s10296,s8556,s7471,s733,s10714,s10767,s859,s4295,s9720]) ).
cnf(s11434,plain,
( spl2_44
| spl2_208
| ~ spl2_206
| ~ spl2_204
| ~ spl2_324
| spl2_249
| ~ spl2_92
| ~ spl2_18
| ~ spl2_84
| ~ spl2_40 ),
inference(rat,[],[s8935,s4937,s10962,s10963,s3830,s3356,s7143,s1926,s201,s10715,s11400,s711,s1690,s926,s129]) ).
cnf(s11435,plain,
( ~ spl2_47
| ~ spl2_206
| ~ spl2_644
| ~ spl2_204
| spl2_226
| ~ spl2_324
| spl2_203
| ~ spl2_92
| ~ spl2_18
| spl2_105
| spl2_308
| ~ spl2_231
| spl2_93
| ~ spl2_250
| ~ spl2_98
| spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8935,s11394,s4937,s10963,s10962,s7968,s9220,s10735,s4995,s3958,s11434,s5562,s1142,s445,s879,s4055,s11412,s3326,s2058,s1259,s10296,s8556,s7471]) ).
cnf(s11436,plain,
( spl2_234
| spl2_203
| ~ spl2_92
| ~ spl2_18
| spl2_105
| spl2_308
| ~ spl2_31
| spl2_93
| spl2_278
| ~ spl2_250
| ~ spl2_98
| spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3671,s10962,s1222,s6195,s1904,s8844,s8870,s9501,s1347,s573,s8646,s1820,s10964,s7960,s656,s9524,s8868,s8871,s8793,s8105,s307,s2435,s5392,s8869,s6897,s7575,s715,s4764,s5562,s1122,s7410,s445,s3220,s11392,s10963,s11405,s3158,s11397,s129,s1199,s507,s2519,s504,s11435,s11433,s4295,s10767,s9720,s859,s10714,s1259,s10296,s733,s641,s888,s451,s7471,s11353]) ).
cnf(s11437,plain,
( spl2_202
| spl2_206
| ~ spl2_234
| spl2_196
| ~ spl2_92
| ~ spl2_18
| ~ spl2_250
| ~ spl2_7 ),
inference(rat,[],[s2874,s7106,s1748,s1906,s154,s10250,s6993,s6797,s9734,s10963,s10962,s2848,s6601,s8301,s9223,s10502,s11416,s1263,s1041]) ).
cnf(s11438,plain,
( spl2_206
| ~ spl2_234
| spl2_196
| spl2_221
| ~ spl2_211
| ~ spl2_92
| ~ spl2_18
| spl2_105
| spl2_308
| spl2_93
| ~ spl2_250
| ~ spl2_84
| ~ spl2_98
| spl2_149
| ~ spl2_7 ),
inference(rat,[],[s11390,s670,s10288,s4996,s10383,s2590,s3958,s394,s5093,s129,s1199,s10250,s604,s504,s379,s11437,s3009]) ).
cnf(s11439,plain,
( spl2_204
| ~ spl2_205
| spl2_44
| ~ spl2_206
| ~ spl2_234
| spl2_196
| ~ spl2_92
| ~ spl2_18
| spl2_197 ),
inference(rat,[],[s4937,s11423,s10963,s10962,s11418,s9221,s10288]) ).
cnf(s11440,plain,
( spl2_44
| ~ spl2_47
| ~ spl2_206
| ~ spl2_234
| spl2_196
| spl2_217
| ~ spl2_92
| ~ spl2_18
| spl2_197
| ~ spl2_84
| ~ spl2_26
| ~ spl2_40 ),
inference(rat,[],[s7968,s10963,s10735,s4937,s2848,s10519,s10962,s6993,s9222,s711,s1690,s11439,s1122,s2078,s3416,s153,s4929,s10715,s11400,s926,s129,s3326,s4055,s2058]) ).
cnf(s11441,plain,
( ~ spl2_191
| ~ spl2_543
| ~ spl2_345
| spl2_249
| ~ spl2_309
| spl2_93
| ~ spl2_98
| ~ spl2_6 ),
inference(rat,[],[s1347,s4128,s10438,s657]) ).
cnf(s11442,plain,
( ~ spl2_173
| ~ spl2_94
| ~ spl2_44
| spl2_307
| ~ spl2_345
| spl2_202
| ~ spl2_206
| ~ spl2_234
| spl2_249
| ~ spl2_92
| ~ spl2_18
| ~ spl2_309
| spl2_197
| ~ spl2_231
| spl2_93
| ~ spl2_98
| spl2_38
| ~ spl2_26
| ~ spl2_6 ),
inference(rat,[],[s6538,s307,s8871,s8870,s8451,s9673,s11413,s5588,s4764,s5562,s445,s11441,s10964,s4944,s11234,s9734,s5937,s6993,s1845,s10519,s1735,s3748,s1969,s10735,s8293,s8302,s7968,s10963,s4937,s11423,s8556,s1263,s1142,s4055,s10288,s2590]) ).
cnf(s11443,plain,
( ~ spl2_94
| ~ spl2_47
| ~ spl2_206
| ~ spl2_234
| spl2_249
| ~ spl2_92
| ~ spl2_18
| ~ spl2_309
| spl2_197
| ~ spl2_231
| spl2_93
| ~ spl2_98
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_40 ),
inference(rat,[],[s2435,s2573,s307,s1347,s8451,s4768,s5588,s5562,s10964,s4944,s445,s11234,s9734,s11441,s5937,s6993,s3748,s1845,s10519,s1122,s9220,s9221,s10962,s11442,s11400,s1263,s379,s879,s3326,s1536,s4055,s2058,s2590,s11440,s8556,s5329,s10296]) ).
cnf(s11444,plain,
( ~ spl2_47
| spl2_139
| ~ spl2_98
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s2848,s4945,s8844,s10964,s8869,s7960,s7903,s656,s3644,s8871,s8870,s9673,s11413,s4788,s715,s4764,s5562,s445,s11412,s4295,s9719,s575,s4996,s1199,s11443,s3958,s394,s11440,s1142,s4055,s1263,s2058,s379,s6545,s888,s3009,s5329,s11438,s11436,s22,s8556,s733,s451,s7471,s330,s11428,s4052,s253,s641,s5518,s1259,s4048,s10836,s8,s10697,s889,s3956,s11420,s6071,s11395,s11376,s829,s724,s10296,s11358,s11353]) ).
cnf(s11445,plain,
( ~ spl2_208
| ~ spl2_170
| ~ spl2_44
| ~ spl2_234
| spl2_196
| ~ spl2_92 ),
inference(rat,[],[s9221,s1122,s10962,s3218,s10456,s2590]) ).
cnf(s11446,plain,
( spl2_139
| ~ spl2_98
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s4937,s10962,s6601,s3671,s9734,s1222,s604,s11416,s154,s1906,s11445,s10963,s11397,s129,s10250,s2519,s504,s11444,s11438,s11436,s8556,s451,s7471,s330,s11428,s4048,s8,s4052,s10836,s3956,s10697,s11420,s889,s6071,s22,s11395,s641,s733,s829,s5518,s724,s1259,s253,s11353,s11358,s11376,s10296]) ).
cnf(s11447,plain,
( spl2_18
| spl2_19
| spl2_308
| ~ spl2_202
| ~ spl2_139
| ~ spl2_84
| ~ spl2_98 ),
inference(rat,[],[s10813,s859,s349,s379,s1029,s10383,s10697,s12,s8]) ).
cnf(s11448,plain,
( spl2_47
| ~ spl2_207
| ~ spl2_202
| ~ spl2_84 ),
inference(rat,[],[s5093,s10250,s604,s504]) ).
cnf(s11449,plain,
( ~ spl2_244
| ~ spl2_278
| ~ spl2_202
| ~ spl2_40 ),
inference(rat,[],[s7530,s7284]) ).
cnf(s11450,plain,
( ~ spl2_278
| ~ spl2_201
| spl2_308
| spl2_249
| ~ spl2_211
| ~ spl2_202
| ~ spl2_139
| ~ spl2_84
| ~ spl2_98
| spl2_4 ),
inference(rat,[],[s2590,s129,s7938,s3786,s4052,s4903,s9512,s4388,s7519,s11062,s6680,s1199,s504,s379,s859,s7752,s10963,s4937,s5383,s6130,s10962,s9218,s9734,s11449,s1259,s253,s451,s888,s11447,s889,s11353]) ).
cnf(s11451,plain,
( spl2_234
| spl2_278
| spl2_93
| ~ spl2_202
| ~ spl2_139
| ~ spl2_84
| ~ spl2_98 ),
inference(rat,[],[s4388,s7277,s4295,s11448,s9720,s6074]) ).
cnf(s11452,plain,
( ~ spl2_201
| spl2_308
| spl2_93
| spl2_249
| ~ spl2_211
| ~ spl2_202
| ~ spl2_139
| ~ spl2_84
| ~ spl2_98
| spl2_4 ),
inference(rat,[],[s8293,s10288,s3748,s2590,s5303,s129,s8298,s3786,s10963,s4903,s4937,s4388,s10735,s2848,s10519,s10962,s4944,s9218,s9734,s1199,s11448,s604,s504,s379,s11451,s8556,s733,s11450,s451,s888,s11447,s889,s11353]) ).
cnf(s11453,plain,
( spl2_234
| ~ spl2_206
| spl2_249
| ~ spl2_202
| ~ spl2_139
| ~ spl2_84
| ~ spl2_98 ),
inference(rat,[],[s348,s10963,s11448,s7752,s6074,s859]) ).
cnf(s11454,plain,
( spl2_308
| spl2_93
| spl2_249
| ~ spl2_211
| ~ spl2_202
| ~ spl2_139
| ~ spl2_84
| ~ spl2_98
| spl2_4 ),
inference(rat,[],[s6547,s7801,s641,s8298,s3673,s10963,s4937,s10735,s10962,s2848,s10519,s3671,s4944,s9734,s1222,s1199,s11448,s604,s2519,s504,s379,s11453,s1041,s11452,s11447,s889,s9593,s451,s11353]) ).
cnf(s11455,plain,
( ~ spl2_98
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s707,s11360,s6074,s10585,s10383,s11448,s11367,s1029,s349,s11370,s8212,s6071,s11454,s5118,s1545,s7471,s330,s11373,s720,s11446,s10296,s1259,s3965,s11376]) ).
cnf(s11456,plain,
( spl2_18
| ~ spl2_171
| spl2_196
| ~ spl2_206
| ~ spl2_47
| ~ spl2_244
| spl2_19 ),
inference(rat,[],[s1683,s1676,s10288,s8293,s1237,s3325,s996,s10383,s10697,s12,s8]) ).
cnf(s11457,plain,
( ~ spl2_191
| ~ spl2_216
| ~ spl2_363
| spl2_93
| ~ spl2_307
| ~ spl2_644 ),
inference(rat,[],[s8868,s7089,s4151,s4390]) ).
cnf(s11458,plain,
( ~ spl2_169
| spl2_601
| ~ spl2_346
| ~ spl2_363
| spl2_93
| ~ spl2_307 ),
inference(rat,[],[s8871,s8105,s5431,s1968,s1122,s3088]) ).
cnf(s11459,plain,
( spl2_202
| spl2_249
| spl2_93
| ~ spl2_206
| ~ spl2_203
| ~ spl2_47
| ~ spl2_244
| ~ spl2_644
| spl2_207
| spl2_229
| spl2_754
| spl2_278
| ~ spl2_324
| spl2_19
| ~ spl2_309
| spl2_38
| spl2_149 ),
inference(rat,[],[s8844,s8870,s8869,s9298,s9257,s10964,s11458,s6897,s4788,s4764,s5562,s445,s11457,s3989,s3088,s2642,s1199,s11456,s10735,s2641,s8854,s2448,s1748,s3356,s8725,s10963,s4937,s4948,s8935,s10962,s8198,s9764,s1263,s4389,s8556,s733]) ).
cnf(s11460,plain,
( spl2_249
| spl2_93
| ~ spl2_206
| ~ spl2_203
| ~ spl2_47
| ~ spl2_244
| ~ spl2_644
| spl2_229
| spl2_754
| spl2_278
| ~ spl2_324
| spl2_19
| spl2_308
| spl2_132
| spl2_38
| spl2_149 ),
inference(rat,[],[s11110,s5938,s4995,s2448,s9519,s10767,s11456,s3830,s1119,s10963,s10962,s348,s7464,s11459,s8556,s7143,s888,s733,s6370,s201,s4389]) ).
cnf(s11461,plain,
( spl2_18
| ~ spl2_249
| ~ spl2_206
| ~ spl2_203
| ~ spl2_47
| ~ spl2_244
| spl2_207
| spl2_229
| spl2_278
| ~ spl2_324
| spl2_19
| ~ spl2_110
| spl2_149
| ~ spl2_26 ),
inference(rat,[],[s8514,s7408,s9754,s8725,s3356,s10963,s4937,s10962,s8198,s9764,s1263,s6600,s4354,s10791,s5995,s4171,s3325,s4105,s10383,s10697,s12,s8]) ).
cnf(s11462,plain,
( spl2_202
| ~ spl2_249
| ~ spl2_206
| ~ spl2_203
| ~ spl2_244
| spl2_207
| spl2_229
| spl2_278
| ~ spl2_324
| ~ spl2_110
| spl2_149 ),
inference(rat,[],[s8514,s7408,s9754,s8725,s3356,s10963,s4937,s8935,s10962,s8198,s9764,s1263]) ).
cnf(s11463,plain,
( spl2_93
| ~ spl2_206
| ~ spl2_203
| ~ spl2_47
| ~ spl2_244
| ~ spl2_644
| spl2_229
| spl2_754
| spl2_278
| ~ spl2_324
| spl2_19
| spl2_308
| spl2_132
| ~ spl2_110
| spl2_38
| spl2_149
| ~ spl2_26 ),
inference(rat,[],[s11110,s5938,s4995,s2448,s9519,s10767,s3356,s1119,s10963,s10962,s348,s7464,s11462,s11461,s11460,s6370,s201,s4389]) ).
cnf(s11464,plain,
( ~ spl2_203
| ~ spl2_47
| ~ spl2_244
| ~ spl2_644
| spl2_229
| spl2_754
| spl2_278
| ~ spl2_324
| spl2_19
| spl2_308
| spl2_98
| spl2_38
| spl2_149
| ~ spl2_26
| ~ spl2_6 ),
inference(rat,[],[s1515,s831,s5118,s11463,s423,s186,s9321]) ).
cnf(s11465,plain,
( ~ spl2_246
| ~ spl2_170
| ~ spl2_173
| ~ spl2_244 ),
inference(rat,[],[s8945,s1748,s7106]) ).
cnf(s11466,plain,
( ~ spl2_191
| ~ spl2_15
| ~ spl2_20
| ~ spl2_47
| ~ spl2_6 ),
inference(rat,[],[s3317,s453,s657]) ).
cnf(s11467,plain,
( ~ spl2_169
| spl2_363
| ~ spl2_301
| ~ spl2_181
| ~ spl2_835
| spl2_93
| spl2_207
| ~ spl2_250
| ~ spl2_324 ),
inference(rat,[],[s8869,s2369,s7855,s8794,s8646]) ).
cnf(s11468,plain,
( ~ spl2_168
| spl2_178
| spl2_177
| spl2_179
| ~ spl2_20
| ~ spl2_47
| spl2_84 ),
inference(rat,[],[s3317,s307,s656,s8451,s9230]) ).
cnf(s11469,plain,
( ~ spl2_247
| spl2_593
| spl2_189
| spl2_246
| ~ spl2_173
| ~ spl2_455
| spl2_202
| spl2_93 ),
inference(rat,[],[s6195,s8868,s8870,s8940,s9329]) ).
cnf(s11471,plain,
( spl2_18
| spl2_246
| ~ spl2_173
| ~ spl2_455
| spl2_202
| spl2_93
| ~ spl2_47
| ~ spl2_244
| spl2_278
| spl2_19
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s2603,s7838,s4518,s8868,s5381,s6195,s8870,s9505,s3698,s656,s11469,s4788,s5588,s715,s5562,s445,s11466,s10791,s10268,s6600,s10383,s10697,s12,s8,s733]) ).
cnf(s11472,plain,
( ~ spl2_191
| ~ spl2_412
| spl2_703
| spl2_93
| ~ spl2_644
| spl2_278
| ~ spl2_6 ),
inference(rat,[],[s8870,s8707,s9369,s4390,s657]) ).
cnf(s11476,plain,
( ~ spl2_693
| ~ spl2_173
| ~ spl2_201
| spl2_93
| spl2_221
| ~ spl2_244 ),
inference(rat,[],[s8961,s8871,s4518,s5386]) ).
cnf(s11477,plain,
( spl2_202
| spl2_206
| spl2_93
| spl2_203
| ~ spl2_47
| ~ spl2_120
| spl2_139
| spl2_234
| spl2_19
| ~ spl2_128
| spl2_38
| spl2_149
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s9057,s9367,s1122,s307,s8105,s1968,s8871,s11110,s5939,s9632,s8646,s10964,s656,s9497,s7549,s11469,s6897,s6026,s4788,s715,s4764,s5562,s445,s9326,s8870,s5381,s11476,s24,s11471,s1906,s1442,s11465,s10963,s10962,s8301,s9223,s10502,s9764,s1263,s10714,s724,s10232,s330,s451,s8556,s7471,s733,s5518,s1041]) ).
cnf(s11478,plain,
( ~ spl2_589
| spl2_601
| spl2_177
| spl2_179
| ~ spl2_333
| ~ spl2_20
| ~ spl2_208
| ~ spl2_201
| spl2_93
| ~ spl2_47
| spl2_234 ),
inference(rat,[],[s8871,s8963,s9632,s10964,s3698,s9497,s7549,s9505,s10714]) ).
cnf(s11479,plain,
( ~ spl2_20
| ~ spl2_208
| spl2_246
| ~ spl2_173
| ~ spl2_202
| ~ spl2_201
| spl2_93
| spl2_249
| ~ spl2_47
| ~ spl2_244
| spl2_278
| spl2_234
| ~ spl2_128
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s8940,s656,s8868,s3619,s8699,s4243,s8870,s11478,s6897,s6026,s5588,s715,s4764,s5562,s445,s11466,s10791,s10268,s4354,s4105]) ).
cnf(s11480,plain,
( ~ spl2_191
| ~ spl2_18
| ~ spl2_558
| ~ spl2_202
| spl2_93
| ~ spl2_47
| ~ spl2_644
| spl2_207
| ~ spl2_324
| ~ spl2_6 ),
inference(rat,[],[s8646,s7855,s11110,s8869,s1968,s5939,s4555,s7986,s4390,s657]) ).
cnf(s11481,plain,
( ~ spl2_455
| spl2_177
| spl2_179
| ~ spl2_181
| ~ spl2_18
| ~ spl2_31
| ~ spl2_835
| ~ spl2_208
| spl2_693
| ~ spl2_173
| ~ spl2_201
| spl2_93
| spl2_217
| spl2_221
| spl2_234
| ~ spl2_40 ),
inference(rat,[],[s8394,s10268,s9741,s9505,s2538,s4592,s1199,s4899,s8961,s8871,s8794,s9632,s10964,s9497,s7549,s8870,s5381,s10714]) ).
cnf(s11482,plain,
( spl2_180
| spl2_601
| spl2_177
| spl2_189
| ~ spl2_208
| spl2_246
| ~ spl2_173
| ~ spl2_202
| ~ spl2_201
| spl2_93
| ~ spl2_211
| ~ spl2_244
| spl2_84
| ~ spl2_324
| ~ spl2_110 ),
inference(rat,[],[s8870,s9497,s8699,s9633,s10964,s8868,s8871,s1867,s8940,s8963,s656]) ).
cnf(s11483,plain,
( ~ spl2_173
| ~ spl2_202
| ~ spl2_201
| spl2_93
| spl2_203
| ~ spl2_47
| spl2_84
| spl2_278
| spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s4995,s9367,s10735,s307,s7968,s1968,s11458,s11110,s8646,s5939,s10964,s7549,s8870,s7855,s4243,s8869,s3619,s4555,s11482,s10963,s4937,s11481,s6897,s6026,s4788,s5588,s715,s4764,s5562,s445,s11480,s8,s4052,s8194,s10697,s11479,s8857,s1906,s9637,s11476,s253,s4041,s3965,s186,s889,s10714,s6370,s4903,s168,s9791,s201,s330,s9664,s1259,s451,s5329,s8556,s7471,s733,s8513,s10232,s230,s91,s5910,s9321,s11455,s11376,s11353]) ).
cnf(s11484,plain,
( ~ spl2_20
| ~ spl2_172
| ~ spl2_202
| ~ spl2_201
| spl2_93
| spl2_249
| ~ spl2_47
| spl2_84
| spl2_278
| spl2_234
| ~ spl2_128
| spl2_38
| ~ spl2_26
| ~ spl2_6 ),
inference(rat,[],[s8963,s3619,s8871,s4243,s5431,s8870,s10964,s11478,s11468,s6897,s6026,s5588,s4764,s5562,s2642,s445,s3088,s11466,s1122,s10791,s10268,s9221,s4354,s349,s4105,s8556,s733,s2448,s879,s9219,s3830,s7143,s10714]) ).
cnf(s11485,plain,
( spl2_180
| spl2_601
| spl2_177
| ~ spl2_363
| ~ spl2_307
| ~ spl2_201
| spl2_93
| spl2_84 ),
inference(rat,[],[s5431,s10964,s8871,s1867,s8963,s656]) ).
cnf(s11486,plain,
( spl2_206
| spl2_93
| ~ spl2_47
| spl2_84
| spl2_139
| spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8871,s7851,s6220,s7855,s8869,s4555,s11485,s6897,s6026,s4764,s5562,s445,s11480,s8,s4052,s10697,s11484,s2448,s879,s3830,s9219,s10962,s11483,s11477,s1041,s253,s6370,s6411,s7143,s8556,s7471,s11464,s10232,s230,s91,s5910,s4903,s168,s9791,s201,s9321,s641,s7459,s724,s1259,s186,s10714,s889,s11353,s11455,s11358,s733,s5518,s11376]) ).
cnf(s11487,plain,
( spl2_180
| ~ spl2_346
| ~ spl2_363
| ~ spl2_307
| spl2_94
| spl2_93
| spl2_249
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s10335,s11458,s7960,s6897,s715,s4764,s5562,s445,s4060,s656]) ).
cnf(s11488,plain,
( spl2_269
| ~ spl2_258
| ~ spl2_586
| ~ spl2_204
| ~ spl2_346
| ~ spl2_363
| ~ spl2_307
| spl2_93
| spl2_249
| spl2_234
| ~ spl2_128 ),
inference(rat,[],[s8870,s5262,s7549,s4715,s10964,s8105,s11458,s6897,s6026,s4764,s1122,s3088]) ).
cnf(s11489,plain,
( ~ spl2_173
| ~ spl2_141
| ~ spl2_206
| spl2_93
| spl2_196
| spl2_217
| spl2_775
| spl2_249
| ~ spl2_47
| ~ spl2_244
| spl2_207
| spl2_229
| spl2_754
| spl2_234
| spl2_308
| ~ spl2_128
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s1964,s7986,s9296,s445,s5184,s5562,s11488,s4052,s8194,s3698,s8941,s8871,s3644,s11487,s10288,s8293,s1122,s3088,s2642,s2448,s7968,s10735,s1199,s3684,s8854,s7858,s1748,s8725,s11456,s3356,s10963,s4937,s8935,s253,s4041,s889,s10714]) ).
cnf(s11490,plain,
( spl2_18
| ~ spl2_172
| ~ spl2_206
| spl2_196
| ~ spl2_47
| ~ spl2_244
| spl2_19 ),
inference(rat,[],[s1683,s1676,s9221,s1122,s1237,s3325,s996,s10383,s10697,s12,s8]) ).
cnf(s11491,plain,
( ~ spl2_172
| ~ spl2_206
| spl2_93
| spl2_196
| spl2_217
| spl2_249
| ~ spl2_47
| ~ spl2_244
| spl2_234
| spl2_308
| ~ spl2_128
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s7986,s2435,s445,s5392,s5562,s4052,s8869,s11488,s3698,s6220,s8941,s1690,s8871,s9222,s9221,s3644,s1122,s11487,s3088,s2642,s1199,s11490,s5441,s2448,s879,s3830,s9219,s253,s889,s10714,s7143]) ).
cnf(s11492,plain,
( spl2_93
| ~ spl2_47
| spl2_84
| spl2_139
| spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1263,s11489,s7464,s10962,s11491,s11486,s3965,s6370,s6411,s5329,s8556,s7471,s11464,s10232,s230,s91,s5910,s4903,s168,s9791,s201,s9321,s641,s7459,s724,s1259,s186,s10714,s889,s11353,s11455,s11358,s733,s5518,s11376]) ).
cnf(s11493,plain,
( spl2_206
| ~ spl2_246
| spl2_202
| spl2_196
| ~ spl2_244 ),
inference(rat,[],[s11465,s10962,s10963,s9223,s8301,s1041,s1263]) ).
cnf(s11494,plain,
( ~ spl2_173
| ~ spl2_93
| ~ spl2_244
| spl2_207
| spl2_754
| ~ spl2_324 ),
inference(rat,[],[s3356,s10963,s8854,s11465,s1748,s1522,s1519,s5102,s5118]) ).
cnf(s11495,plain,
( ~ spl2_47
| spl2_84
| spl2_139
| spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s9579,s8857,s879,s3830,s9219,s10962,s11494,s8567,s1519,s1522,s5102,s5118,s11492,s7143,s7471,s330,s11464,s11358,s889,s10714,s7459,s724,s1259,s186,s641,s6370,s4903,s168,s9791,s5518,s201,s10232,s230,s91,s5910,s9321,s11455,s11376,s11353]) ).
cnf(s11496,plain,
( spl2_206
| spl2_249
| ~ spl2_173
| spl2_93
| spl2_703
| spl2_47
| ~ spl2_244
| ~ spl2_120
| spl2_278
| ~ spl2_324
| ~ spl2_128
| ~ spl2_110
| spl2_38
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s8961,s8871,s650,s7851,s656,s9497,s11469,s6026,s4788,s715,s5562,s445,s9326,s8870,s1906,s5381,s6411,s11476,s11493,s10502,s4044,s1041,s1259,s604,s451,s11353,s8556,s733]) ).
cnf(s11497,plain,
( ~ spl2_206
| ~ spl2_173
| spl2_47
| ~ spl2_244
| spl2_229 ),
inference(rat,[],[s10334,s4937,s11397,s8935,s2519]) ).
cnf(s11498,plain,
( ~ spl2_173
| spl2_93
| spl2_703
| spl2_47
| ~ spl2_244
| ~ spl2_120
| spl2_278
| ~ spl2_324
| ~ spl2_128
| ~ spl2_110
| spl2_38
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s7471,s11496,s4044,s11497,s641,s11353]) ).
cnf(s11499,plain,
( spl2_18
| spl2_47
| spl2_19 ),
inference(rat,[],[s1029,s10383,s10697,s12,s8]) ).
cnf(s11500,plain,
( spl2_93
| ~ spl2_18
| spl2_703
| spl2_47
| ~ spl2_120
| spl2_139
| spl2_234
| ~ spl2_128
| ~ spl2_110
| spl2_38
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s8871,s11488,s9524,s8792,s8869,s1649,s573,s7815,s9221,s650,s1122,s11487,s3088,s2642,s1199,s9235,s10963,s11397,s8736,s2519,s2448,s3194,s1041,s8857,s879,s9223,s3830,s9219,s8556,s7143,s7471,s330,s6613,s10962,s11498,s1259,s10714,s724,s733,s641,s5518,s11353,s1263,s604,s10232]) ).
cnf(s11501,plain,
( spl2_84
| spl2_139
| spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8556,s11493,s7471,s2519,s831,s1522,s1515,s5118,s11500,s11499,s9764,s604,s11495,s10232,s230,s91,s3965,s11358,s186,s201,s5910,s9321,s11455,s889,s11353,s733,s5518,s11376]) ).
cnf(s11502,plain,
( ~ spl2_180
| spl2_178
| ~ spl2_20
| ~ spl2_126
| spl2_179
| ~ spl2_181
| ~ spl2_47 ),
inference(rat,[],[s8451,s307,s10964,s3317,s9582]) ).
cnf(s11503,plain,
( spl2_180
| ~ spl2_455
| ~ spl2_173
| ~ spl2_201
| spl2_601
| spl2_244
| spl2_189
| spl2_93 ),
inference(rat,[],[s5381,s5386,s8870,s8871,s9325,s8963,s656]) ).
cnf(s11504,plain,
( ~ spl2_20
| ~ spl2_180
| ~ spl2_126
| spl2_179
| ~ spl2_181
| ~ spl2_47
| ~ spl2_84 ),
inference(rat,[],[s11502,s310]) ).
cnf(s11505,plain,
( spl2_202
| ~ spl2_173
| spl2_203
| spl2_206
| spl2_601
| spl2_196
| spl2_217
| ~ spl2_126
| spl2_244
| spl2_177
| spl2_179
| spl2_189
| ~ spl2_181
| ~ spl2_47
| spl2_93
| ~ spl2_84
| spl2_207
| ~ spl2_250
| ~ spl2_324
| spl2_19
| ~ spl2_40 ),
inference(rat,[],[s2538,s9741,s5387,s8394,s9734,s8,s10697,s11504,s8871,s5381,s9524,s8870,s8869,s9497,s7855,s4128,s11503,s10963,s8301,s10502,s1263,s2058,s1041]) ).
cnf(s11506,plain,
( spl2_206
| spl2_601
| spl2_196
| spl2_217
| spl2_221
| ~ spl2_126
| ~ spl2_94
| spl2_244
| spl2_177
| spl2_179
| spl2_189
| ~ spl2_181
| ~ spl2_47
| spl2_93
| ~ spl2_84
| spl2_207
| spl2_229
| spl2_754
| ~ spl2_250
| ~ spl2_324
| spl2_19
| ~ spl2_555
| ~ spl2_40 ),
inference(rat,[],[s1748,s8854,s3673,s3356,s10963,s4937,s11503,s11374,s11505,s10962,s9218,s4044,s1041,s1222]) ).
cnf(s11507,plain,
( ~ spl2_20
| ~ spl2_206
| ~ spl2_47
| ~ spl2_84
| spl2_78 ),
inference(rat,[],[s153,s3416,s10715,s4002,s310,s4105,s4055,s2058]) ).
cnf(s11508,plain,
( ~ spl2_693
| ~ spl2_140
| ~ spl2_18
| ~ spl2_173
| ~ spl2_305
| spl2_601
| ~ spl2_111
| spl2_264
| spl2_93 ),
inference(rat,[],[s5387,s573,s529,s9263,s8871,s5386]) ).
cnf(s11509,plain,
( ~ spl2_589
| spl2_244
| spl2_177
| spl2_189
| ~ spl2_345
| ~ spl2_324 ),
inference(rat,[],[s4128,s656,s9497,s9325]) ).
cnf(s11510,plain,
( spl2_249
| ~ spl2_126
| ~ spl2_94
| spl2_244
| spl2_177
| spl2_179
| spl2_189
| ~ spl2_183
| ~ spl2_181
| ~ spl2_47
| spl2_93
| ~ spl2_84
| spl2_207
| spl2_229
| ~ spl2_231
| spl2_754
| ~ spl2_250
| ~ spl2_324
| spl2_19
| spl2_78
| ~ spl2_128
| ~ spl2_26
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s11508,s5381,s9734,s4937,s8,s10963,s10962,s10697,s3356,s3703,s879,s11507,s4055,s3326,s11506,s6897,s8556,s7143,s5329,s451,s11353,s2834,s1259,s4438,s8870,s11509,s2058]) ).
cnf(s11511,plain,
( ~ spl2_203
| ~ spl2_47
| ~ spl2_84
| ~ spl2_644
| ~ spl2_6 ),
inference(rat,[],[s3326,s4389,s423]) ).
cnf(s11512,plain,
( spl2_244
| spl2_249
| spl2_177
| spl2_179
| spl2_189
| ~ spl2_183
| ~ spl2_181
| ~ spl2_47
| spl2_93
| ~ spl2_84
| spl2_207
| spl2_229
| ~ spl2_231
| ~ spl2_250
| spl2_234
| spl2_19
| spl2_78
| spl2_118
| ~ spl2_128
| spl2_98
| ~ spl2_26
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s8287,s11510,s7157,s10250,s154,s10232,s10714,s7459,s1259,s186]) ).
cnf(s11513,plain,
( spl2_202
| spl2_18
| ~ spl2_173
| spl2_206
| ~ spl2_244
| spl2_196
| ~ spl2_47
| spl2_93
| spl2_278
| spl2_19
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s11471,s11493,s10502]) ).
cnf(s11514,plain,
( spl2_18
| ~ spl2_126
| ~ spl2_173
| spl2_206
| ~ spl2_244
| spl2_261
| ~ spl2_47
| spl2_93
| ~ spl2_84
| spl2_278
| spl2_234
| spl2_19
| spl2_78
| ~ spl2_128
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s3696,s10964,s7139,s3416,s9497,s7549,s9505,s11479,s8870,s10268,s9637,s8699,s4354,s8513,s11513,s8868,s8871,s8962,s153,s8963,s656,s10715,s11504,s310,s4105,s10697,s8,s10714,s5588,s6026,s8556,s733,s6897,s7471,s11511,s4764,s5562,s445,s11412,s4903,s168,s9791,s1041]) ).
cnf(s11515,plain,
( spl2_202
| spl2_693
| ~ spl2_173
| spl2_206
| ~ spl2_244
| spl2_196
| spl2_177
| spl2_593
| spl2_189
| ~ spl2_345
| spl2_93
| ~ spl2_324 ),
inference(rat,[],[s4128,s9497,s656,s8870,s11469,s5381,s11493,s10502]) ).
cnf(s11516,plain,
( ~ spl2_258
| ~ spl2_445
| spl2_208
| ~ spl2_169
| ~ spl2_255
| ~ spl2_442
| ~ spl2_47
| ~ spl2_84
| spl2_78
| ~ spl2_650 ),
inference(rat,[],[s8194,s4592,s310,s10715,s153,s3416,s7139,s3696]) ).
cnf(s11517,plain,
( ~ spl2_173
| spl2_206
| ~ spl2_244
| ~ spl2_47
| spl2_93
| ~ spl2_84
| spl2_278
| spl2_234
| spl2_19
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s573,s11514,s4899,s8736,s10250,s11516,s154,s1906,s8794,s9633,s8602,s10964,s9497,s7549,s8870,s8699,s8868,s8871,s8940,s8963,s656,s9637,s11374,s8513,s11515,s11476,s4041,s3965,s186,s5910,s4929,s10714,s2058,s715,s4788,s6026,s330,s9664,s1259,s451,s11353,s8556,s733,s6897,s7471,s11511,s4764,s5562,s445,s11412,s4903,s168,s9791,s201,s9321,s11455,s11376,s1041]) ).
cnf(s11518,plain,
( spl2_18
| ~ spl2_455
| ~ spl2_168
| ~ spl2_588
| ~ spl2_202
| ~ spl2_172
| ~ spl2_244
| spl2_196
| spl2_217
| spl2_179
| ~ spl2_47
| ~ spl2_84
| spl2_19 ),
inference(rat,[],[s2078,s3748,s5755,s3676,s1122,s307,s10268,s9221,s8451,s6600,s349,s310,s10383,s10697,s12,s8]) ).
cnf(s11519,plain,
( spl2_206
| ~ spl2_244
| ~ spl2_47
| spl2_93
| ~ spl2_84
| spl2_278
| spl2_234
| spl2_19
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3676,s10268,s8715,s5387,s1912,s573,s11518,s4518,s5381,s8844,s8870,s8869,s7549,s9257,s10964,s5431,s8868,s8871,s8962,s8963,s656,s10735,s2448,s11374,s7277,s879,s9223,s3830,s9219,s10962,s11517,s1041,s10714,s5588,s4788,s6026,s5329,s7143,s8556,s733,s6897,s7471,s11511,s4764,s5562,s445,s11412,s4903,s168,s9791,s201,s9321,s11455,s11376]) ).
cnf(s11520,plain,
( ~ spl2_47
| spl2_93
| spl2_139
| spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1263,s11489,s7464,s10962,s11491,s11519,s11512,s8556,s5329,s6411,s7471,s11511,s6026,s5588,s715,s4764,s5562,s445,s11412,s3965,s5910,s4929,s889,s7459,s724,s1259,s186,s733,s641,s11353,s6370,s4903,s168,s9791,s5518,s201,s9321,s11455,s11376,s11501]) ).
cnf(s11521,plain,
( spl2_93
| spl2_139
| spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s9764,s604,s11500,s10232,s154,s10250,s11499,s504,s11520,s3965,s11358,s186,s201,s5910,s9321,s11455,s11376,s889,s11353,s11501]) ).
cnf(s11522,plain,
( spl2_244
| ~ spl2_93
| spl2_234
| spl2_118 ),
inference(rat,[],[s10363,s827,s154,s9154,s10232,s5118]) ).
cnf(s11523,plain,
( spl2_139
| spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s7088,s2448,s879,s3830,s9219,s10962,s1519,s1522,s11494,s5102,s11522,s7143,s7471,s831,s1515,s5118,s11521,s6370,s7459,s5518,s724,s1259,s186,s201,s5910,s9321,s11455,s11376,s11353,s10714]) ).
cnf(s11524,plain,
( spl2_244
| spl2_93
| ~ spl2_202
| ~ spl2_139
| spl2_234
| spl2_308
| spl2_132
| spl2_38
| spl2_149
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s5383,s8844,s8870,s11094,s8,s8869,s9325,s8194,s10697,s7956,s715,s3289,s5562,s10698,s9379,s445,s4811,s4903,s10213,s4060,s656,s4388,s2058,s11374,s7277,s504,s91,s10250,s230,s154,s10232,s1259,s4041,s5910,s889,s11353]) ).
cnf(s11525,plain,
( ~ spl2_173
| spl2_93
| spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s11483,s4044,s1041,s7464,s7277,s4388,s4811,s9720,s11449,s1259,s604,s11524,s9321,s11455,s11376,s11358,s3965,s720,s11523]) ).
cnf(s11526,plain,
( spl2_249
| ~ spl2_172
| ~ spl2_301
| spl2_278
| ~ spl2_244
| spl2_93
| ~ spl2_139
| spl2_234
| spl2_308
| ~ spl2_128
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s4995,s11110,s7938,s8,s4052,s10697,s2448,s11484,s879,s1041,s3830,s9219,s11491,s8556,s7143,s5329,s253,s3965,s889,s10714,s733,s7277,s604,s5938,s720]) ).
cnf(s11527,plain,
( spl2_93
| spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s10334,s2131,s348,s8200,s423,s7471,s11526,s10962,s11525,s4388,s4811,s9720,s604,s11449,s11524,s1259,s11353,s3965,s11358,s201,s9321,s11455,s11376,s720,s11523]) ).
cnf(s11528,plain,
( spl2_234
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s11372,s423,s604,s1545,s11522,s825,s5118,s11527,s720,s11523,s5910,s9321,s11455,s11376,s11353]) ).
cnf(s11529,plain,
( ~ spl2_191
| ~ spl2_471
| spl2_703
| ~ spl2_644
| spl2_278
| spl2_93 ),
inference(rat,[],[s8870,s4945,s9369,s4390]) ).
cnf(s11530,plain,
( spl2_18
| ~ spl2_180
| spl2_601
| spl2_593
| spl2_177
| spl2_179
| spl2_189
| ~ spl2_455
| ~ spl2_173
| spl2_775
| spl2_261
| ~ spl2_120
| spl2_84
| ~ spl2_47
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_19 ),
inference(rat,[],[s11468,s10964,s2394,s9111,s3623,s9372,s9367,s9513,s6321,s8870,s8871,s6195,s8105,s8868,s1122,s8793,s496,s307,s1237,s3317,s996,s10383,s10697,s12,s8,s1222,s1906,s6797]) ).
cnf(s11531,plain,
( spl2_202
| spl2_775
| spl2_249
| spl2_261
| spl2_206
| ~ spl2_644
| ~ spl2_120
| spl2_84
| spl2_278
| ~ spl2_47
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_19
| spl2_78
| ~ spl2_128
| spl2_38
| spl2_149
| ~ spl2_26
| ~ spl2_7 ),
inference(rat,[],[s153,s10715,s11410,s4944,s9734,s11530,s11503,s6897,s4788,s6026,s5588,s715,s4764,s5562,s445,s11529,s2848,s10502,s9764,s8556,s733,s10962,s9218,s451,s1041]) ).
cnf(s11532,plain,
( spl2_181
| ~ spl2_202
| ~ spl2_211
| ~ spl2_644
| spl2_278
| ~ spl2_47
| spl2_93
| ~ spl2_234
| spl2_19
| spl2_308
| spl2_132
| ~ spl2_6 ),
inference(rat,[],[s8,s1390,s5937,s10697,s4995,s1845,s349,s9519,s10767,s1476,s4243,s5939,s3619,s4390,s657,s1484,s445]) ).
cnf(s11533,plain,
( ~ spl2_191
| spl2_269
| ~ spl2_202
| spl2_203
| ~ spl2_231
| ~ spl2_47
| spl2_93
| ~ spl2_6 ),
inference(rat,[],[s1476,s7575,s4243,s8869,s3619,s4555,s1478,s657]) ).
cnf(s11534,plain,
( ~ spl2_247
| spl2_191
| spl2_177
| spl2_189
| ~ spl2_202
| spl2_84
| spl2_244
| spl2_93
| ~ spl2_234
| ~ spl2_110
| ~ spl2_40 ),
inference(rat,[],[s8701,s8790,s8870,s10964,s9325,s1867]) ).
cnf(s11535,plain,
( ~ spl2_20
| ~ spl2_590
| ~ spl2_180
| spl2_593
| ~ spl2_202
| ~ spl2_47 ),
inference(rat,[],[s7901,s3317,s10288,s349]) ).
cnf(s11536,plain,
( ~ spl2_455
| ~ spl2_140
| ~ spl2_173
| ~ spl2_234
| spl2_78 ),
inference(rat,[],[s153,s10715,s3416,s4944,s8394,s6797,s2848]) ).
cnf(s11538,plain,
( ~ spl2_94
| ~ spl2_369
| ~ spl2_171
| ~ spl2_202
| spl2_207
| spl2_754
| ~ spl2_234 ),
inference(rat,[],[s5937,s5938,s1845,s10735,s8298,s8854]) ).
cnf(s11539,plain,
( spl2_206
| spl2_84
| spl2_139
| ~ spl2_47
| spl2_244
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8602,s8794,s4592,s8664,s9257,s3675,s10735,s10288,s10519,s2394,s4944,s1199,s11538,s1748,s3673,s10963,s4937,s11536,s9734,s6019,s8,s8194,s10697,s11535,s8869,s4555,s656,s11534,s11533,s4788,s6026,s715,s5562,s11532,s11531,s10962,s9218,s451,s6411,s7471,s9664,s330,s4044,s1041,s4041,s3965,s4929,s889,s11528,s1222,s7459,s724,s1259,s186,s733,s6545,s641,s6370,s5518,s201,s230,s91,s5910,s11353,s4811,s9715,s11358,s9321,s11455,s11376]) ).
cnf(s11540,plain,
( ~ spl2_191
| spl2_356
| ~ spl2_363
| ~ spl2_203
| spl2_249
| ~ spl2_206
| ~ spl2_644
| ~ spl2_47
| spl2_93
| ~ spl2_6 ),
inference(rat,[],[s9038,s10215,s8871,s7089,s3644,s4390,s657,s4389]) ).
cnf(s11541,plain,
( spl2_180
| spl2_593
| spl2_455
| spl2_202
| spl2_93 ),
inference(rat,[],[s8844,s8870,s8869,s9329,s7903,s656,s1263]) ).
cnf(s11542,plain,
( ~ spl2_203
| spl2_249
| spl2_703
| spl2_202
| ~ spl2_206
| ~ spl2_644
| ~ spl2_120
| spl2_207
| spl2_278
| ~ spl2_47
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_38
| ~ spl2_6 ),
inference(rat,[],[s9051,s10215,s8871,s8167,s3644,s3619,s11541,s4788,s5562,s445,s11540,s1751,s2102,s2389,s2448,s2456,s8298,s10963,s4937,s10735,s2848,s10519,s4948,s10962,s4389,s8198,s733]) ).
cnf(s11543,plain,
( ~ spl2_191
| spl2_249
| spl2_703
| ~ spl2_206
| ~ spl2_644
| spl2_207
| spl2_229
| spl2_278
| ~ spl2_47
| ~ spl2_335
| spl2_93
| ~ spl2_234
| ~ spl2_6
| ~ spl2_40 ),
inference(rat,[],[s5642,s6355,s4764,s3623,s9673,s8664,s7865,s4151,s8869,s8868,s10735,s8844,s8871,s8167,s2848,s10519,s8870,s3644,s3619,s11529,s9369,s4390,s657]) ).
cnf(s11544,plain,
( spl2_180
| spl2_593
| spl2_177
| spl2_202
| spl2_84
| spl2_93
| ~ spl2_234 ),
inference(rat,[],[s4945,s8870,s10964,s2848,s9329,s1867,s11541,s656]) ).
cnf(s11545,plain,
( ~ spl2_455
| ~ spl2_173
| ~ spl2_180
| spl2_601
| spl2_593
| spl2_177
| spl2_179
| spl2_189
| spl2_775
| spl2_261
| ~ spl2_120
| spl2_84
| ~ spl2_47
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_19
| spl2_78 ),
inference(rat,[],[s9734,s11536,s11530]) ).
cnf(s11546,plain,
( ~ spl2_20
| ~ spl2_587
| ~ spl2_180
| spl2_601
| ~ spl2_206
| ~ spl2_47 ),
inference(rat,[],[s307,s8793,s3317,s3325]) ).
cnf(s11547,plain,
( ~ spl2_169
| ~ spl2_355
| ~ spl2_171
| ~ spl2_18
| ~ spl2_180
| spl2_601
| spl2_196
| spl2_207
| spl2_93
| ~ spl2_234 ),
inference(rat,[],[s11110,s11458,s2448,s7968,s8298,s10735,s10519,s4945,s5939]) ).
cnf(s11548,plain,
( ~ spl2_355
| spl2_455
| ~ spl2_173
| ~ spl2_18
| ~ spl2_587
| ~ spl2_180
| spl2_601
| spl2_593
| spl2_196
| spl2_207
| spl2_93
| ~ spl2_234 ),
inference(rat,[],[s10519,s4948,s10735,s9032,s9257,s10964,s11547,s8869,s8844,s10963,s4937]) ).
cnf(s11549,plain,
( ~ spl2_209
| spl2_750
| ~ spl2_169
| ~ spl2_171
| ~ spl2_18
| spl2_601
| spl2_196
| spl2_207
| spl2_93 ),
inference(rat,[],[s11110,s11458,s2448,s7968,s8298]) ).
cnf(s11550,plain,
( ~ spl2_169
| ~ spl2_171
| ~ spl2_140
| ~ spl2_18
| ~ spl2_180
| spl2_601
| spl2_196
| spl2_207
| spl2_93
| ~ spl2_234 ),
inference(rat,[],[s1199,s5937,s4944,s1845,s10519,s10735,s11549,s5939]) ).
cnf(s11551,plain,
( ~ spl2_173
| ~ spl2_18
| ~ spl2_587
| ~ spl2_180
| spl2_601
| spl2_593
| spl2_177
| spl2_179
| spl2_189
| spl2_775
| spl2_261
| spl2_196
| ~ spl2_120
| spl2_84
| spl2_207
| ~ spl2_47
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_19
| spl2_78 ),
inference(rat,[],[s10519,s4948,s9298,s9032,s10964,s11550,s8870,s11548,s10963,s4937,s11545,s9734]) ).
cnf(s11552,plain,
( spl2_249
| spl2_202
| ~ spl2_206
| spl2_84
| spl2_278
| ~ spl2_47
| spl2_244
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8857,s9579,s5521,s9032,s8567,s10964,s1199,s4945,s4944,s2848,s8844,s8870,s8869,s4155,s6220,s3671,s10962,s11551,s9734,s8,s10697,s11546,s8868,s8871,s8167,s3644,s3619,s11544,s6897,s4788,s6026,s5588,s715,s4764,s5562,s445,s11543,s6411,s9664,s330,s11542,s8556,s451,s1259,s186,s4929,s889,s11528,s1222,s733,s641,s6370,s201,s230,s91,s5910,s11353,s4811,s9715,s9321,s11455,s11376,s9764,s11358]) ).
cnf(s11553,plain,
( spl2_202
| ~ spl2_206
| spl2_84
| spl2_278
| ~ spl2_47
| spl2_244
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8514,s9754,s7408,s8298,s8725,s10963,s4937,s10735,s2848,s10519,s4948,s10962,s4389,s8198,s7471,s11552,s9764,s1263,s186,s11528,s641,s11353,s6370,s201,s4811,s9715,s11358,s9321,s11455,s11376]) ).
cnf(s11554,plain,
( spl2_180
| ~ spl2_202
| spl2_84
| spl2_244
| spl2_93
| ~ spl2_234
| ~ spl2_128
| ~ spl2_110
| spl2_38
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s11534,s6026,s715,s5562,s445,s4060,s656,s1259,s11353]) ).
cnf(s11555,plain,
( spl2_84
| spl2_139
| ~ spl2_47
| spl2_244
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8868,s5528,s6220,s8871,s8167,s4243,s8869,s3644,s3619,s4555,s11554,s10962,s9469,s11553,s9650,s11539,s3965,s186,s201,s9321,s11455,s11528,s5518,s11376]) ).
cnf(s11556,plain,
( spl2_206
| ~ spl2_455
| spl2_180
| spl2_244
| spl2_93
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s10333,s11503,s9218,s6897,s451,s7471,s4044,s1041,s4764,s715,s5562,s445,s4060]) ).
cnf(s11557,plain,
( spl2_180
| spl2_703
| ~ spl2_84
| spl2_278
| ~ spl2_250
| ~ spl2_47
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_19
| spl2_78
| ~ spl2_128
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s3748,s2078,s1122,s9221,s9245,s8732,s8556,s5755,s9671,s3416,s7471,s307,s78,s6613,s294,s10751,s10962,s6601,s6195,s9734,s8868,s8,s9034,s10697,s4055,s11507,s11556,s10964,s4945,s2848,s8870,s11541,s9325,s4788,s6026,s715,s5562,s445,s4060,s656,s733,s379,s2058]) ).
cnf(s11558,plain,
( ~ spl2_20
| ~ spl2_180
| ~ spl2_84
| ~ spl2_47 ),
inference(rat,[],[s9107,s6940,s307,s10715,s3289,s3698,s3317,s310,s2058,s10964,s7276,s3619]) ).
cnf(s11559,plain,
( spl2_206
| ~ spl2_140
| spl2_202
| ~ spl2_231
| spl2_244
| ~ spl2_234
| spl2_78
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s11536,s10962,s10502,s9218,s8556,s451,s7471,s4044,s1041]) ).
cnf(s11560,plain,
( spl2_139
| ~ spl2_47
| spl2_244
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s9032,s8868,s6898,s8167,s4055,s3326,s11559,s9734,s8,s10697,s11558,s10964,s10238,s7276,s4128,s3619,s11557,s9764,s2058,s379,s11555,s733,s5518,s724,s3965,s11358,s201,s4929,s9321,s11455,s11376,s889,s11353,s11528]) ).
cnf(s11561,plain,
( ~ spl2_20
| ~ spl2_590
| ~ spl2_180
| ~ spl2_202
| ~ spl2_47 ),
inference(rat,[],[s1200,s4802,s4354,s3698,s11535,s4105]) ).
cnf(s11562,plain,
( ~ spl2_47
| spl2_244
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s2394,s1199,s9734,s7938,s6019,s8,s4052,s8194,s10697,s11561,s5937,s5938,s1845,s4388,s8869,s4811,s230,s9364,s9715,s91,s11554,s9338,s379,s720,s11560,s253,s4041,s3965,s11358,s186,s201,s5910,s9321,s11455,s11376,s889,s11353,s11528]) ).
cnf(s11563,plain,
( spl2_202
| ~ spl2_120
| ~ spl2_140
| spl2_47
| spl2_244
| ~ spl2_234
| spl2_78
| spl2_38
| spl2_149
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s451,s7471,s3671,s6613,s10962,s10456,s10963,s1906,s11397,s2519,s11559,s641,s733,s5518,s9764,s5819,s1222]) ).
cnf(s11564,plain,
( ~ spl2_278
| ~ spl2_202
| ~ spl2_644
| ~ spl2_18
| ~ spl2_234
| spl2_38
| ~ spl2_40 ),
inference(rat,[],[s1199,s5937,s11062,s5938,s1845,s4388,s5518]) ).
cnf(s11565,plain,
( ~ spl2_173
| spl2_754
| ~ spl2_176
| ~ spl2_371
| spl2_207
| spl2_229
| spl2_593
| ~ spl2_202
| ~ spl2_120
| ~ spl2_18
| spl2_47
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_78 ),
inference(rat,[],[s1199,s11538,s2394,s1748,s9367,s11397,s8870,s10963,s8844,s4937,s11536,s9111,s9734]) ).
cnf(s11566,plain,
( spl2_206
| ~ spl2_172
| spl2_244
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s451,s7471,s9218,s4044,s1041]) ).
cnf(s11567,plain,
( ~ spl2_172
| spl2_278
| ~ spl2_202
| ~ spl2_644
| ~ spl2_120
| spl2_47
| spl2_244
| spl2_93
| spl2_308
| spl2_132
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s11110,s4995,s5938,s2448,s9760,s10696,s4389,s8198,s7471,s451,s3671,s1906,s2519,s11566,s1222,s11499,s889]) ).
cnf(s11568,plain,
( spl2_84
| spl2_47
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_308
| spl2_78
| spl2_132
| ~ spl2_110
| spl2_38
| spl2_149
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s5562,s445,s715,s5861,s9513,s724,s8870,s7459,s8844,s11565,s11536,s10962,s11567,s307,s1922,s6539,s8869,s7865,s6370,s641,s11564,s573,s4782,s650,s11554,s11563,s4811,s230,s9715,s91,s1259,s201,s5910,s1222,s9734,s11499,s889,s11353]) ).
cnf(s11569,plain,
( ~ spl2_278
| spl2_204
| spl2_761
| ~ spl2_140
| spl2_308
| spl2_38
| spl2_4 ),
inference(rat,[],[s4052,s9512,s7938,s7519,s5518,s253,s11353]) ).
cnf(s11570,plain,
( ~ spl2_171
| ~ spl2_275
| spl2_197
| ~ spl2_231
| ~ spl2_209
| ~ spl2_195
| spl2_207
| ~ spl2_178 ),
inference(rat,[],[s2642,s2448,s3088,s7968,s8293,s8556,s5654,s8298,s8302]) ).
cnf(s11571,plain,
( ~ spl2_172
| spl2_278
| spl2_703
| spl2_47
| spl2_244
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s451,s3671,s7471,s2519,s6613,s11566,s1222]) ).
cnf(s11572,plain,
( spl2_244
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1847,s4044,s5575,s2519,s11570,s8298,s8302,s11397,s10963,s4937,s10962,s11571,s641,s6545,s733,s11569,s10735,s10696,s10288,s2848,s10519,s2394,s4944,s6680,s154,s5093,s1199,s10250,s504,s11568,s9111,s9734,s11499,s11562,s3965,s11358,s186,s5910,s4929,s9321,s11455,s11376,s889,s11353,s11528]) ).
cnf(s11573,plain,
( ~ spl2_278
| ~ spl2_244
| spl2_38
| ~ spl2_6
| ~ spl2_40 ),
inference(rat,[],[s720,s11449,s5518]) ).
cnf(s11574,plain,
( spl2_206
| ~ spl2_173
| spl2_18
| spl2_202
| ~ spl2_47
| spl2_278
| ~ spl2_244
| spl2_93
| spl2_19
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s8556,s7471,s11513,s4044,s3965,s733]) ).
cnf(s11575,plain,
( spl2_269
| ~ spl2_206
| ~ spl2_20
| spl2_202
| spl2_84
| ~ spl2_47
| ~ spl2_231
| spl2_93
| ~ spl2_234
| ~ spl2_128
| ~ spl2_26 ),
inference(rat,[],[s8868,s4290,s8167,s307,s3317,s3619,s11544,s4788,s6026,s5588,s4002,s4105]) ).
cnf(s11576,plain,
( ~ spl2_173
| spl2_18
| spl2_202
| ~ spl2_47
| spl2_278
| ~ spl2_244
| spl2_93
| spl2_19
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s1690,s5078,s10268,s10288,s3355,s8302,s10963,s4937,s8935,s4002,s11574,s6545,s10383,s12,s4105,s10697,s8]) ).
cnf(s11577,plain,
( spl2_18
| spl2_703
| spl2_202
| ~ spl2_47
| spl2_278
| ~ spl2_244
| spl2_93
| spl2_19
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s1041,s9223,s11490,s8556,s7471,s6613,s10962,s11576,s733]) ).
cnf(s11578,plain,
( spl2_206
| ~ spl2_173
| spl2_202
| ~ spl2_120
| ~ spl2_231
| ~ spl2_244
| ~ spl2_234
| spl2_38
| ~ spl2_555 ),
inference(rat,[],[s1906,s6797,s11493,s10502,s8556,s7471,s4044]) ).
cnf(s11579,plain,
( ~ spl2_203
| spl2_217
| spl2_249
| ~ spl2_369
| ~ spl2_171
| ~ spl2_206
| ~ spl2_173
| ~ spl2_18
| spl2_754
| ~ spl2_644
| ~ spl2_47
| spl2_207
| spl2_93
| ~ spl2_234
| spl2_308
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s8941,s3698,s8871,s4052,s3644,s4171,s1122,s11487,s3088,s2642,s1199,s2448,s8854,s8298,s10735,s10519,s4948,s4389,s253]) ).
cnf(s11580,plain,
( spl2_601
| spl2_593
| ~ spl2_587
| ~ spl2_180
| ~ spl2_346
| spl2_301
| spl2_196
| spl2_455
| ~ spl2_173
| ~ spl2_18
| spl2_207
| spl2_93
| ~ spl2_234 ),
inference(rat,[],[s9298,s8870,s10964,s11548,s11458,s2448,s8298,s7968,s10735,s10963,s4937]) ).
cnf(s11581,plain,
( ~ spl2_601
| spl2_356
| ~ spl2_226
| spl2_249
| ~ spl2_171
| spl2_455
| spl2_93
| spl2_38 ),
inference(rat,[],[s445,s1476,s5562,s8844,s4764,s8869,s6897,s8081]) ).
cnf(s11582,plain,
( spl2_601
| ~ spl2_587
| ~ spl2_180
| ~ spl2_346
| spl2_301
| spl2_196
| spl2_455
| ~ spl2_173
| ~ spl2_18
| ~ spl2_644
| spl2_207
| ~ spl2_231
| spl2_93
| ~ spl2_234
| spl2_38 ),
inference(rat,[],[s5562,s445,s4788,s4390,s11580,s11458,s2448,s8298,s7968,s10735,s10963,s4937]) ).
cnf(s11583,plain,
( spl2_249
| ~ spl2_246
| ~ spl2_206
| ~ spl2_173
| ~ spl2_18
| spl2_754
| ~ spl2_644
| ~ spl2_47
| spl2_278
| ~ spl2_244
| spl2_93
| ~ spl2_234
| spl2_308
| spl2_132
| ~ spl2_110
| spl2_38
| ~ spl2_26
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s8844,s1479,s8869,s11581,s8081,s11582,s8868,s8167,s3619,s11487,s2642,s1199,s2448,s8854,s7968,s8298,s9519,s10735,s3684,s7858,s6411,s11579,s8556,s5329,s1259,s11353,s733,s6370,s201,s10963,s4937,s8935,s1748]) ).
cnf(s11584,plain,
( ~ spl2_173
| ~ spl2_18
| spl2_202
| ~ spl2_644
| ~ spl2_120
| ~ spl2_47
| spl2_278
| ~ spl2_244
| spl2_93
| ~ spl2_234
| spl2_308
| spl2_132
| ~ spl2_110
| spl2_38
| ~ spl2_26
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s8514,s7408,s9754,s8298,s10735,s10519,s4948,s4389,s7471,s11583,s8725,s10963,s4937,s8935,s11578,s733,s641,s11353,s6370,s201,s1263,s7459,s724,s5819,s1259]) ).
cnf(s11585,plain,
( ~ spl2_471
| spl2_217
| ~ spl2_172
| ~ spl2_18
| spl2_703
| spl2_202
| ~ spl2_644
| spl2_84
| ~ spl2_47
| spl2_278
| ~ spl2_244
| spl2_93
| ~ spl2_234
| ~ spl2_128
| spl2_38 ),
inference(rat,[],[s2642,s2448,s3088,s5521,s9032,s10964,s4945,s8870,s4155,s8868,s8167,s3619,s11544,s6897,s1122,s4788,s6026,s4764,s9222,s5562,s4944,s445,s1199,s11529,s6993,s1041,s9223,s8556,s7471,s6613,s733]) ).
cnf(s11586,plain,
( spl2_180
| spl2_455
| spl2_202
| ~ spl2_231
| spl2_93
| spl2_38
| ~ spl2_555 ),
inference(rat,[],[s5562,s4788,s445,s11541,s4060]) ).
cnf(s11587,plain,
( spl2_202
| spl2_84
| ~ spl2_47
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s5562,s4764,s445,s6897,s9326,s4155,s8870,s8844,s8869,s6220,s8868,s8871,s8167,s3644,s3619,s11586,s2848,s11585,s1041,s9223,s8556,s5329,s7471,s6613,s10962,s11584,s11577,s9764,s3965,s186,s201,s889,s11528,s733,s11573,s11572,s1259,s230,s91,s5910,s11353,s4811,s9715,s11358,s9321,s11455,s11376]) ).
cnf(s11588,plain,
( spl2_180
| ~ spl2_198
| spl2_601
| spl2_795
| ~ spl2_201
| ~ spl2_173
| spl2_179
| spl2_189
| ~ spl2_333
| spl2_94
| ~ spl2_202
| ~ spl2_244
| spl2_93 ),
inference(rat,[],[s9505,s8870,s3696,s8699,s7351,s10964,s8868,s8871,s7960,s8940,s8963,s656,s9637,s8513,s502]) ).
cnf(s11589,plain,
( ~ spl2_180
| ~ spl2_20
| ~ spl2_202
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s8869,s11561,s4555]) ).
cnf(s11590,plain,
( ~ spl2_173
| ~ spl2_464
| spl2_180
| spl2_179
| spl2_189
| ~ spl2_31
| ~ spl2_333
| ~ spl2_195
| spl2_94
| ~ spl2_202
| ~ spl2_120
| ~ spl2_47
| spl2_197
| ~ spl2_244
| spl2_93
| ~ spl2_234
| ~ spl2_110
| ~ spl2_555 ),
inference(rat,[],[s8302,s10963,s11588,s10456,s7394,s5380,s1906,s4044,s1041,s9637,s502,s7464,s8513]) ).
cnf(s11591,plain,
( spl2_18
| spl2_84
| ~ spl2_47
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8961,s8871,s1041,s7351,s11490,s3676,s8556,s5329,s451,s7394,s7471,s6613,s10962,s11590,s2604,s525,s3696,s307,s9505,s9367,s8870,s8701,s8790,s10964,s7960,s656,s11589,s4788,s5588,s715,s2834,s5562,s445,s22,s11466,s6186,s10791,s10268,s10767,s10696,s10288,s4354,s1237,s349,s4105,s996,s10383,s10697,s12,s8,s3965,s186,s889,s733,s6545,s11573,s230,s91,s5910,s9321,s11376,s11353,s9354,s8513,s11587,s11572,s8601,s11455,s1259,s11528]) ).
cnf(s11592,plain,
( spl2_180
| spl2_601
| spl2_179
| spl2_189
| ~ spl2_171
| spl2_196
| ~ spl2_181
| ~ spl2_835
| ~ spl2_211
| ~ spl2_201
| ~ spl2_173
| ~ spl2_18
| spl2_94
| ~ spl2_202
| ~ spl2_244
| spl2_93
| ~ spl2_234 ),
inference(rat,[],[s307,s9372,s1968,s4944,s1390,s10519,s10735,s7968,s8870,s3647,s8699,s8794,s8868,s10964,s8871,s8940,s7960,s8963,s656,s1199,s9637,s8513,s502]) ).
cnf(s11593,plain,
( spl2_140
| ~ spl2_589
| ~ spl2_31
| spl2_601
| spl2_593
| spl2_179
| ~ spl2_171
| ~ spl2_181
| ~ spl2_835
| ~ spl2_211
| ~ spl2_173
| ~ spl2_178
| spl2_197
| spl2_93
| ~ spl2_234 ),
inference(rat,[],[s4948,s879,s10519,s9263,s9298,s8871,s10964,s7272,s8794,s1964,s4592,s307,s9505,s3355,s9372,s10268]) ).
cnf(s11594,plain,
( ~ spl2_173
| ~ spl2_18
| spl2_94
| ~ spl2_202
| ~ spl2_644
| ~ spl2_120
| ~ spl2_47
| spl2_278
| ~ spl2_244
| spl2_93
| ~ spl2_234
| spl2_308
| spl2_132
| spl2_38
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s10286,s9257,s10519,s11550,s4944,s11593,s8870,s8194,s4243,s8869,s11589,s3619,s4555,s11592,s6897,s4788,s5588,s715,s4764,s5562,s10963,s8556,s11532,s8857,s10456,s7471,s330,s1906,s4044,s1041,s9637,s502,s7464,s4041,s3965,s889,s733,s6545,s6370,s201,s8513,s1199]) ).
cnf(s11595,plain,
( spl2_140
| ~ spl2_589
| ~ spl2_442
| spl2_179
| spl2_217
| ~ spl2_172 ),
inference(rat,[],[s1964,s7271,s307,s3676,s9505,s9372,s10268]) ).
cnf(s11596,plain,
( spl2_180
| spl2_601
| spl2_191
| spl2_177
| spl2_179
| spl2_189
| spl2_196
| spl2_217
| spl2_775
| ~ spl2_201
| ~ spl2_172
| ~ spl2_18
| spl2_94
| ~ spl2_202
| ~ spl2_644
| ~ spl2_120
| spl2_84
| ~ spl2_47
| spl2_207
| spl2_93
| ~ spl2_234
| ~ spl2_110
| ~ spl2_650
| ~ spl2_40 ),
inference(rat,[],[s3696,s573,s7397,s3623,s8869,s6321,s8664,s1906,s8646,s2448,s11485,s879,s8310,s8194,s9220,s4388,s10735,s4105,s10519,s4354,s4944,s11595,s8870,s8701,s8790,s10964,s8871,s7960,s8963,s656,s1199]) ).
cnf(s11597,plain,
( spl2_206
| spl2_84
| ~ spl2_47
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s5431,s8646,s879,s8664,s9257,s9220,s10735,s10519,s4944,s11595,s8871,s8870,s6220,s4243,s8869,s3619,s4555,s11596,s6897,s4788,s11533,s6026,s5588,s715,s4764,s5562,s8556,s5329,s11532,s6411,s7471,s330,s4044,s1041,s4041,s3965,s186,s889,s733,s6370,s201,s1199,s10962,s11594,s11591,s9354,s8513,s8601,s11587,s4811,s9715,s11358,s230,s91,s5910,s11573,s1259,s11572,s11528,s9321,s11455,s11376,s11353]) ).
cnf(s11599,plain,
( spl2_140
| ~ spl2_588
| ~ spl2_589
| spl2_179
| spl2_217
| ~ spl2_172 ),
inference(rat,[],[s3748,s5755,s4715,s1122,s307,s9505,s9222,s9372,s10268]) ).
cnf(s11600,plain,
( spl2_180
| spl2_196
| spl2_249
| ~ spl2_171
| ~ spl2_172
| ~ spl2_178
| spl2_94
| ~ spl2_202
| spl2_207
| spl2_93
| ~ spl2_234
| ~ spl2_110
| spl2_38
| ~ spl2_26
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s7089,s2448,s7968,s8298,s10735,s10519,s4944,s11599,s8868,s4155,s8870,s8701,s8790,s10964,s7960,s6897,s5588,s715,s4764,s5562,s445,s4060,s656,s1259,s11353,s5329]) ).
cnf(s11601,plain,
( spl2_249
| ~ spl2_206
| ~ spl2_172
| ~ spl2_178
| spl2_94
| ~ spl2_202
| ~ spl2_47
| spl2_207
| ~ spl2_231
| spl2_93
| ~ spl2_234
| ~ spl2_110
| spl2_38
| ~ spl2_26
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s6220,s8871,s8869,s3644,s4555,s11600,s8556,s10963,s348]) ).
cnf(s11602,plain,
( spl2_84
| ~ spl2_47
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1390,s4995,s9760,s10696,s8198,s7471,s11601,s11597,s10962,s11594,s1199,s11591,s9354,s8513,s11587,s4811,s230,s9715,s91,s3965,s11358,s186,s8601,s5910,s11353,s11528,s733,s6370,s11573,s11572,s1259,s201,s9321,s11455,s11376]) ).
cnf(s11603,plain,
( spl2_206
| spl2_196
| ~ spl2_173
| spl2_202
| ~ spl2_231
| ~ spl2_244
| ~ spl2_234
| spl2_118
| spl2_38
| ~ spl2_555 ),
inference(rat,[],[s6993,s10250,s2848,s154,s10502,s11578]) ).
cnf(s11604,plain,
( spl2_249
| ~ spl2_173
| ~ spl2_84
| ~ spl2_47
| ~ spl2_231
| ~ spl2_244
| spl2_93
| ~ spl2_234
| spl2_118
| ~ spl2_128
| spl2_38
| ~ spl2_555 ),
inference(rat,[],[s8938,s8871,s4128,s3644,s11586,s879,s8935,s3326,s11603,s8556,s7143,s379,s2058]) ).
cnf(s11605,plain,
( ~ spl2_173
| ~ spl2_84
| ~ spl2_47
| ~ spl2_231
| ~ spl2_244
| spl2_93
| ~ spl2_234
| spl2_118
| ~ spl2_128
| spl2_38
| ~ spl2_6 ),
inference(rat,[],[s6898,s9263,s10238,s8871,s7276,s4128,s3644,s3619,s11586,s879,s4055,s8935,s3326,s423,s7471,s11604,s3965,s379,s2058]) ).
cnf(s11606,plain,
( spl2_180
| spl2_593
| spl2_189
| spl2_94
| ~ spl2_363
| ~ spl2_301
| ~ spl2_141
| spl2_93 ),
inference(rat,[],[s5874,s10964,s8869,s7960,s7903,s656]) ).
cnf(s11607,plain,
( ~ spl2_47
| spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8938,s8871,s4128,s3644,s11606,s4788,s715,s5562,s445,s11412,s4811,s9719,s542,s1906,s154,s10250,s6993,s1845,s10519,s9220,s879,s4055,s3326,s1041,s9223,s8556,s7143,s7471,s6613,s10962,s11605,s9764,s1263,s2058,s379,s11602,s11358,s201,s5910,s9321,s11455,s11353,s11528,s733,s11573,s11572,s11376,s1259]) ).
cnf(s11608,plain,
( ~ spl2_173
| spl2_47
| spl2_229
| ~ spl2_231
| ~ spl2_244
| ~ spl2_234
| spl2_118
| spl2_38
| ~ spl2_555 ),
inference(rat,[],[s8556,s7471,s11603,s4044,s11497,s604]) ).
cnf(s11609,plain,
( spl2_180
| spl2_84
| spl2_202
| ~ spl2_231
| spl2_93
| ~ spl2_234
| ~ spl2_128
| spl2_38
| ~ spl2_555 ),
inference(rat,[],[s11544,s4788,s6026,s5562,s445,s4060]) ).
cnf(s11610,plain,
( ~ spl2_94
| ~ spl2_835
| ~ spl2_206
| spl2_196
| ~ spl2_211
| ~ spl2_172
| ~ spl2_244
| ~ spl2_234
| ~ spl2_40 ),
inference(rat,[],[s879,s9220,s3194,s10519,s8736,s6993]) ).
cnf(s11611,plain,
( ~ spl2_205
| ~ spl2_586
| ~ spl2_371
| spl2_601
| ~ spl2_258
| spl2_217
| ~ spl2_172 ),
inference(rat,[],[s1964,s6539,s8105,s9222]) ).
cnf(s11612,plain,
( spl2_269
| spl2_92
| spl2_204
| ~ spl2_322
| spl2_177
| ~ spl2_371
| ~ spl2_464
| ~ spl2_180
| spl2_246
| ~ spl2_231
| spl2_93
| ~ spl2_234
| ~ spl2_7 ),
inference(rat,[],[s2848,s4945,s8844,s10964,s8870,s9107,s9367,s307,s7841,s8868,s7838,s4788,s715]) ).
cnf(s11613,plain,
( spl2_84
| spl2_217
| spl2_47
| spl2_278
| ~ spl2_244
| spl2_93
| ~ spl2_234
| spl2_308
| spl2_132
| spl2_38
| spl2_149
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s8844,s2848,s1476,s11529,s445,s5562,s11612,s10767,s3218,s3220,s1043,s863,s1122,s11611,s4650,s10250,s11610,s8871,s9524,s8869,s1751,s5380,s7815,s573,s1374,s2604,s650,s11609,s8857,s1906,s4811,s230,s9715,s91,s1259,s201,s1263,s724,s5819,s330,s861,s11499,s889,s10963,s11397,s2519,s1041,s9223,s8556,s7471,s6613,s9764,s604,s10962,s11608,s733,s5910,s641,s11353]) ).
cnf(s11614,plain,
( spl2_180
| spl2_94
| spl2_202
| ~ spl2_231
| spl2_93
| ~ spl2_234
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s4945,s8870,s10964,s9329,s7960,s4788,s715,s5562,s2848,s445,s11586,s4060,s656]) ).
cnf(s11615,plain,
( spl2_93
| spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s445,s5562,s11472,s11612,s4811,s3220,s10698,s1043,s863,s914,s1122,s11611,s8871,s9524,s8869,s5380,s4650,s7815,s573,s2604,s650,s11614,s1906,s154,s10250,s2061,s504,s11613,s4713,s10963,s861,s11397,s2519,s1041,s9223,s8556,s5329,s7471,s6613,s10962,s11608,s724,s9764,s5819,s1263,s604,s11499,s11607,s641,s733,s11573,s11572,s1259,s3965,s11358,s5910,s9321,s11455,s11376,s889,s11353,s11528]) ).
cnf(s11616,plain,
( spl2_244
| spl2_196
| spl2_229
| ~ spl2_93
| ~ spl2_234
| spl2_19 ),
inference(rat,[],[s11445,s10963,s129,s12,s3673,s827,s10383,s2751,s9154,s1222,s1536,s1525,s5118]) ).
cnf(s11617,plain,
( spl2_308
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s11610,s10962,s11493,s1748,s8513,s8854,s9354,s1519,s1522,s5102,s11616,s7459,s8556,s1530,s8857,s7471,s830,s831,s733,s1524,s1515,s1536,s824,s5107,s5118,s11615,s11528,s889,s186,s8601,s1259,s5910,s9321,s11455,s11376,s11353]) ).
cnf(s11618,plain,
( spl2_120
| spl2_234
| spl2_93
| ~ spl2_17
| spl2_118
| spl2_132
| spl2_38
| ~ spl2_26
| ~ spl2_6 ),
inference(rat,[],[s349,s7938,s720,s5518,s5995,s9379,s13,s851,s9732,s310,s504,s91,s10250,s230,s154,s8212,s3965]) ).
cnf(s11619,plain,
( spl2_206
| spl2_84
| ~ spl2_47
| spl2_202
| ~ spl2_178
| ~ spl2_120
| spl2_234
| spl2_93
| ~ spl2_128
| spl2_38
| spl2_149
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s10610,s10279,s11477,s4044,s5819,s3965]) ).
cnf(s11620,plain,
( ~ spl2_180
| spl2_217
| ~ spl2_206
| ~ spl2_47
| spl2_93
| ~ spl2_20 ),
inference(rat,[],[s8941,s8871,s3698,s3644,s1122,s3325]) ).
cnf(s11621,plain,
( spl2_249
| ~ spl2_206
| ~ spl2_47
| spl2_202
| ~ spl2_231
| ~ spl2_244
| spl2_93
| ~ spl2_308
| spl2_38
| ~ spl2_26
| ~ spl2_555 ),
inference(rat,[],[s2822,s351,s1690,s9221,s9222,s10962,s8935,s11586,s11620,s8556,s5329,s5819,s1122,s3325,s8212,s6071]) ).
cnf(s11622,plain,
( ~ spl2_47
| spl2_202
| ~ spl2_178
| spl2_278
| ~ spl2_120
| spl2_234
| spl2_93
| ~ spl2_308
| ~ spl2_128
| ~ spl2_110
| spl2_38
| spl2_149
| ~ spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s11462,s7471,s11621,s11619,s310,s8212,s6071,s3965,s10714,s10232,s733,s641,s6370]) ).
cnf(s11623,plain,
( spl2_202
| spl2_234
| spl2_93
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s2078,s1122,s3676,s9222,s10268,s5329,s1690,s7471,s2822,s1496,s6613,s10332,s271,s10962,s11499,s11498,s11500,s11622,s9764,s5819,s3965,s11358,s186,s201,s10714,s851,s9379,s11573,s10232,s11618,s5910,s11353,s1259,s9321,s11455,s6071,s11617,s11376]) ).
cnf(s11624,plain,
( spl2_234
| spl2_93
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s6059,s2369,s10964,s8869,s1867,s7575,s6026,s9519,s5562,s6186,s445,s724,s4354,s4060,s656,s6421,s310,s4105,s11589,s349,s604,s11623,s851,s9379,s6545,s733,s11573,s10232,s11618,s1259,s201,s5910,s9321,s11455,s11353,s8212,s6071,s11617,s11376,s3965]) ).
cnf(s11625,plain,
( ~ spl2_47
| ~ spl2_202
| spl2_244
| ~ spl2_234
| spl2_93
| ~ spl2_20
| ~ spl2_128
| ~ spl2_110
| spl2_38
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s11554,s11589,s379]) ).
cnf(s11626,plain,
( ~ spl2_278
| spl2_93
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s5952,s10585,s6421,s11367,s11625,s720,s11573,s5518,s1259,s186,s201,s9321,s11455,s8212,s6071,s11617,s11376,s3965,s11624]) ).
cnf(s11627,plain,
( spl2_249
| spl2_84
| ~ spl2_47
| spl2_202
| spl2_244
| spl2_93
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s11394,s428,s5562,s1501,s445,s10619,s271,s9519,s11466,s11531,s10963,s10962,s6186,s10791,s6411,s9664,s8301,s11566,s11559,s4044,s11620,s8556,s5329,s1259,s186,s4929,s8212,s6071,s11617,s1263,s724,s5819,s11609,s733,s11626,s11624,s201,s3965,s230,s91,s5910,s11353,s4811,s9715,s11358,s9321,s11455,s11376]) ).
cnf(s11628,plain,
( spl2_84
| ~ spl2_47
| spl2_202
| spl2_244
| spl2_93
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8949,s8871,s5562,s5864,s3644,s11575,s3325,s423,s7471,s11627,s2538,s3698,s11609,s201,s9321,s11455,s8212,s6071,s11617,s11376,s3965,s11624,s733,s11626]) ).
cnf(s11629,plain,
( ~ spl2_47
| spl2_202
| spl2_244
| spl2_93
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s11586,s11556,s11558,s11507,s11628,s11353,s4929,s9321,s11455,s8212,s6071,s11617,s11376,s3965,s733,s11626]) ).
cnf(s11630,plain,
( spl2_84
| spl2_47
| spl2_202
| spl2_244
| spl2_278
| ~ spl2_234
| spl2_93
| ~ spl2_17
| spl2_78
| spl2_132
| spl2_38
| spl2_149
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s307,s9659,s8451,s8118,s10964,s445,s8744,s5874,s11529,s1504,s1496,s1845,s10519,s10619,s271,s9519,s11499,s8869,s6186,s9734,s8547,s7865,s11563,s650,s4811,s230,s11609,s9715,s91,s1259,s201,s5910,s996,s733,s641,s11353,s1222,s5819,s9764,s10383,s1029,s8212]) ).
cnf(s11631,plain,
( spl2_202
| spl2_244
| spl2_93
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s445,s528,s9659,s4715,s307,s8451,s8118,s10964,s8744,s11405,s5874,s2822,s1496,s5603,s1845,s10332,s271,s9519,s11499,s8869,s6186,s9734,s8547,s7865,s11563,s650,s154,s11614,s10250,s504,s11630,s10383,s1029,s11629,s724,s5819,s1259,s11358,s5910,s4929,s9321,s11455,s996,s8212,s6071,s11617,s11376,s3965,s11624,s733,s641,s11626,s11353,s1222]) ).
cnf(s11632,plain,
( ~ spl2_191
| ~ spl2_211
| spl2_206
| spl2_186
| ~ spl2_371
| spl2_179
| spl2_47
| spl2_244
| ~ spl2_17
| spl2_149 ),
inference(rat,[],[s9734,s11499,s6539,s11389,s1964,s4715,s528,s6677]) ).
cnf(s11633,plain,
( spl2_206
| spl2_186
| ~ spl2_371
| spl2_254
| spl2_47
| spl2_244
| spl2_93
| ~ spl2_17
| spl2_38
| spl2_149
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s5381,s8844,s8870,s9513,s715,s5562,s445,s11632,s5386,s8871,s8961,s451,s10962,s7471,s330,s11566,s4044,s1041,s1222,s8547,s10383,s1029,s8212]) ).
cnf(s11634,plain,
( spl2_84
| ~ spl2_202
| spl2_244
| spl2_278
| ~ spl2_234
| spl2_93
| ~ spl2_17
| spl2_132
| ~ spl2_110
| spl2_38
| spl2_149
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s11612,s2096,s1043,s5562,s6994,s2078,s4714,s4650,s445,s3104,s2540,s3088,s428,s10250,s4390,s6580,s4389,s8200,s5937,s5874,s7471,s5938,s1845,s451,s9760,s3671,s11571,s10962,s10456,s10963,s468,s1906,s11397,s2519,s11633,s678,s8869,s2739,s7865,s2604,s5883,s650,s6173,s4811,s230,s11554,s10738,s9715,s91,s5910,s733,s641,s11353,s1222,s904,s10383,s1029,s11625,s201,s8212]) ).
cnf(s11635,plain,
( spl2_180
| spl2_94
| ~ spl2_202
| spl2_244
| ~ spl2_234
| spl2_93
| ~ spl2_110
| spl2_38
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s8701,s8790,s8870,s10964,s9325,s7960,s715,s5562,s445,s4060,s656,s1259,s11353]) ).
cnf(s11636,plain,
( spl2_206
| ~ spl2_371
| spl2_254
| spl2_47
| spl2_244
| spl2_93
| ~ spl2_17
| spl2_38
| spl2_149
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s661,s11633,s4044]) ).
cnf(s11637,plain,
( spl2_244
| spl2_93
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s2435,s5749,s307,s11612,s9107,s3220,s914,s1043,s2078,s4714,s428,s10964,s6580,s8200,s5874,s7471,s1845,s451,s9760,s3671,s11571,s10962,s10456,s10963,s468,s1906,s11397,s2519,s11636,s8869,s4650,s7865,s2604,s650,s11635,s154,s10250,s504,s11634,s10383,s1029,s11625,s11631,s1222,s11358,s186,s201,s5910,s9321,s11455,s8212,s6071,s11617,s11376,s3965,s11624,s733,s641,s11626,s11353]) ).
cnf(s11638,plain,
( spl2_206
| ~ spl2_120
| spl2_202
| ~ spl2_244
| ~ spl2_231
| ~ spl2_234
| spl2_38
| ~ spl2_555 ),
inference(rat,[],[s9223,s8556,s10962,s7471,s11578,s4044,s1041]) ).
cnf(s11639,plain,
( spl2_84
| ~ spl2_47
| spl2_202
| ~ spl2_244
| ~ spl2_231
| ~ spl2_234
| spl2_93
| ~ spl2_17
| spl2_118
| ~ spl2_128
| spl2_38
| ~ spl2_26
| ~ spl2_555 ),
inference(rat,[],[s8949,s8871,s5562,s5864,s3644,s11575,s3325,s11638,s2538,s3698,s230,s11609,s91,s8212]) ).
cnf(s11640,plain,
( spl2_180
| spl2_202
| ~ spl2_244
| ~ spl2_231
| ~ spl2_234
| spl2_93
| spl2_38
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s2848,s6993,s11586,s11614]) ).
cnf(s11641,plain,
( ~ spl2_47
| ~ spl2_180
| spl2_202
| ~ spl2_244
| ~ spl2_231
| ~ spl2_234
| spl2_93
| ~ spl2_17
| spl2_118
| ~ spl2_128
| spl2_38
| ~ spl2_26
| ~ spl2_555 ),
inference(rat,[],[s11558,s11639,s8212]) ).
cnf(s11642,plain,
( ~ spl2_191
| ~ spl2_644
| ~ spl2_371
| spl2_703
| spl2_278
| ~ spl2_234
| spl2_93 ),
inference(rat,[],[s8844,s2848,s8870,s11529,s9369]) ).
cnf(s11643,plain,
( spl2_84
| ~ spl2_586
| ~ spl2_286
| spl2_299
| spl2_246
| ~ spl2_206
| spl2_249
| ~ spl2_371
| ~ spl2_464
| ~ spl2_180
| spl2_703
| spl2_278
| ~ spl2_234
| spl2_93
| ~ spl2_20
| ~ spl2_17
| spl2_132
| ~ spl2_110
| spl2_38
| spl2_149
| spl2_4 ),
inference(rat,[],[s2642,s2448,s3088,s1122,s879,s851,s8105,s8938,s9233,s7841,s7844,s2060,s8868,s428,s7838,s9673,s715,s4764,s5562,s445,s11642,s9754,s1906,s4811,s230,s9715,s91,s1259,s5910,s11353,s7143,s201,s5380]) ).
cnf(s11644,plain,
( ~ spl2_191
| ~ spl2_586
| spl2_601
| spl2_217
| ~ spl2_211
| ~ spl2_371
| spl2_179
| ~ spl2_172
| ~ spl2_17
| ~ spl2_308 ),
inference(rat,[],[s485,s1122,s2822,s11611,s4715,s528,s6677]) ).
cnf(s11645,plain,
( spl2_202
| ~ spl2_244
| spl2_278
| ~ spl2_234
| spl2_93
| ~ spl2_308
| spl2_132
| ~ spl2_110
| spl2_38
| spl2_149
| ~ spl2_26
| ~ spl2_555
| spl2_4 ),
inference(rat,[],[s9233,s851,s7844,s8605,s8868,s428,s7838,s9673,s715,s4764,s5562,s445,s11644,s3098,s9754,s1906,s154,s10250,s504,s11643,s8871,s9524,s1113,s10963,s5380,s1522,s11397,s2519,s1041,s9223,s8556,s5329,s7471,s330,s8869,s6613,s8547,s7815,s2604,s10962,s10383,s650,s11608,s1029,s11641,s11640,s724,s9764,s5819,s1263,s1259,s201,s5910,s8212,s6071,s733,s641,s11353]) ).
cnf(s11646,plain,
( spl2_93
| ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s5874,s10964,s8869,s7960,s7575,s715,s1845,s5562,s9519,s445,s6186,s4060,s656,s4354,s9354,s11589,s4105,s8513,s604,s11645,s11637,s733,s11626,s11624,s11353,s11358,s186,s9321,s8601,s11455,s1259,s8212,s6071,s11617,s11376,s3965]) ).
cnf(s11647,plain,
( spl2_234
| spl2_278
| ~ spl2_93
| ~ spl2_17
| ~ spl2_308
| spl2_118
| ~ spl2_128
| spl2_98 ),
inference(rat,[],[s2779,s4931,s5119,s827,s7606,s851,s1519,s168,s5102,s9791,s11522,s5118]) ).
cnf(s11648,plain,
( ~ spl2_26
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s10334,s3355,s8180,s2078,s8118,s9151,s8744,s10268,s5126,s828,s4056,s926,s2822,s3000,s1525,s11647,s1545,s830,s831,s6545,s1524,s1515,s5107,s5118,s11646,s996,s8212,s6071,s11617,s5910,s201,s9321,s186,s11455,s11376,s1259,s11353,s3965]) ).
cnf(s11649,plain,
( ~ spl2_17
| ~ spl2_203
| ~ spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s11369,s11378,s8212,s3965]) ).
cnf(s11650,plain,
( spl2_202
| ~ spl2_335
| ~ spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s10384,s11355,s72,s22,s11649,s10462,s5819,s1263,s1259,s3965]) ).
cnf(s11651,plain,
( ~ spl2_17
| ~ spl2_278
| ~ spl2_202
| spl2_234
| ~ spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s5952,s11285,s11370,s10296,s11369,s8212,s3965,s4953,s11648,s805,s1259]) ).
cnf(s11652,plain,
( spl2_17
| ~ spl2_139
| spl2_120
| ~ spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s230,s3096,s91,s2974,s161,s186,s11375,s10697,s72,s1259]) ).
cnf(s11653,plain,
( spl2_244
| spl2_234
| ~ spl2_38
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s11451,s10296,s11369,s11651,s8212,s11652,s805,s11650,s10232,s1222,s1259,s3965]) ).
cnf(s11654,plain,
( ~ spl2_98
| spl2_278
| ~ spl2_139
| spl2_234
| spl2_93
| ~ spl2_6 ),
inference(rat,[],[s11451,s10296,s720]) ).
cnf(s11655,plain,
( spl2_98
| ~ spl2_38
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8,s10280,s236,s118,s1996,s8194,s422,s10697,s6807,s11369,s161,s2039,s1259,s4041,s3965]) ).
cnf(s11656,plain,
( spl2_244
| ~ spl2_38
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s8869,s7865,s8844,s641,s2848,s7065,s4945,s8292,s8870,s10964,s5861,s6756,s4782,s4650,s650,s9495,s657,s445,s11228,s10250,s11373,s504,s805,s379,s11650,s11653,s1222,s1259,s11353,s10296,s11655]) ).
cnf(s11657,plain,
( ~ spl2_38
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s379,s11654,s604,s11449,s720,s724,s5153,s11656,s10296,s11655,s1259]) ).
cnf(s11658,plain,
( spl2_84
| spl2_120
| spl2_38
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s5910,s9321,s230,s10296,s91]) ).
cnf(s11659,plain,
( ~ spl2_98
| spl2_202
| ~ spl2_84
| spl2_234
| ~ spl2_20
| ~ spl2_17
| spl2_38
| spl2_93
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s11386,s310,s8556,s851,s5243,s7471,s330,s9523,s11378,s733,s5518,s5819,s3965]) ).
cnf(s11660,plain,
( spl2_202
| spl2_120
| spl2_234
| ~ spl2_20
| ~ spl2_17
| spl2_38
| spl2_93
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s504,s310,s10250,s851,s154,s9379,s5910,s9321,s11659,s5518,s5819,s3965,s11658]) ).
cnf(s11661,plain,
( ~ spl2_98
| ~ spl2_139
| ~ spl2_278
| ~ spl2_202
| ~ spl2_84
| spl2_234
| ~ spl2_20
| ~ spl2_17
| ~ spl2_308 ),
inference(rat,[],[s11285,s5952,s11370]) ).
cnf(s11662,plain,
( ~ spl2_278
| ~ spl2_202
| ~ spl2_84
| spl2_120
| spl2_234
| ~ spl2_20
| ~ spl2_17
| spl2_38
| ~ spl2_308
| ~ spl2_7 ),
inference(rat,[],[s7,s452,s9732,s349,s310,s504,s10250,s154,s5910,s9321,s11661,s5518]) ).
cnf(s11663,plain,
( ~ spl2_98
| spl2_278
| ~ spl2_202
| ~ spl2_84
| spl2_234
| spl2_149
| spl2_38
| spl2_93
| spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s10486,s269,s9300,s351,s10383,s11391,s1029,s504,s310,s8556,s451,s724,s851,s661,s7471,s330,s11654,s9523,s11378,s67,s8194,s225,s4041,s3965,s733]) ).
cnf(s11664,plain,
( spl2_234
| spl2_244
| spl2_149
| spl2_38
| spl2_93
| spl2_26
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s504,s310,s10250,s851,s154,s9379,s5910,s9321,s11663,s11662,s11660,s11658,s10232,s4953,s67,s8194,s225,s4041,s3965]) ).
cnf(s11665,plain,
( ~ spl2_206
| ~ spl2_47
| ~ spl2_180
| spl2_31
| spl2_93
| ~ spl2_650 ),
inference(rat,[],[s8105,s8871,s7396,s1122,s3644,s8197,s3325,s3317,s2538,s3698,s8194]) ).
cnf(s11666,plain,
( ~ spl2_47
| ~ spl2_180
| ~ spl2_644
| spl2_132
| spl2_703
| spl2_202
| ~ spl2_234
| spl2_244
| ~ spl2_17
| spl2_31
| spl2_38
| spl2_93
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s4768,s1536,s4945,s8870,s9501,s5562,s445,s11529,s6797,s2848,s10502,s8556,s10962,s7471,s11566,s4044,s11665,s526,s3698,s8194,s4041,s733,s5518,s5819]) ).
cnf(s11667,plain,
( spl2_84
| spl2_202
| ~ spl2_234
| spl2_244
| ~ spl2_17
| spl2_31
| spl2_149
| spl2_38
| spl2_93
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s10456,s10963,s1906,s8725,s2519,s11636,s8869,s7815,s10962,s650,s11571,s11666,s11609,s4811,s201,s9321,s11658,s9715,s10296,s1263,s9764,s733,s641,s5518,s5819,s3965]) ).
cnf(s11668,plain,
( ~ spl2_98
| ~ spl2_84
| spl2_202
| ~ spl2_234
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s7,s5995,s9732,s4170,s11400,s3289,s11614,s2058,s11558,s310,s11386,s8556,s5243,s7471,s330,s11378,s1259,s11353,s67,s8194,s225,s11648,s4041,s733,s5518,s5819,s3965,s11657]) ).
cnf(s11669,plain,
( ~ spl2_47
| spl2_132
| ~ spl2_110
| ~ spl2_84
| spl2_202
| ~ spl2_234
| spl2_244
| ~ spl2_17
| spl2_31
| spl2_38
| spl2_93
| ~ spl2_308
| ~ spl2_555
| ~ spl2_7 ),
inference(rat,[],[s10333,s9222,s5386,s6061,s5381,s8871,s8870,s9673,s7471,s9325,s4561,s428,s5704,s1122,s715,s4764,s9520,s469,s4055,s8197,s3325,s5562,s1525,s10751,s11556,s445,s3289,s11586,s4060,s656,s851,s2058,s11558,s310,s8194,s4041,s733,s5518,s5819]) ).
cnf(s11670,plain,
( spl2_202
| spl2_244
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s10456,s10963,s1906,s8725,s2519,s11636,s8869,s7815,s650,s154,s10962,s11614,s10250,s11571,s504,s11669,s9321,s186,s11668,s11667,s641,s733,s11416,s5518,s724,s9764,s5819,s1263,s3965,s4953,s225,s67,s11664,s2854,s11657,s11648,s11353]) ).
cnf(s11671,plain,
( spl2_84
| spl2_244
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s269,s10585,s10341,s11367,s11499,s5518,s11625,s11564,s11634,s201,s4811,s9321,s186,s9715,s10296,s1259,s67,s8194,s225,s4041,s3965,s11664,s2854,s11657,s11648,s11353,s11670]) ).
cnf(s11672,plain,
( ~ spl2_278
| spl2_197
| ~ spl2_17
| spl2_38
| ~ spl2_308 ),
inference(rat,[],[s5952,s10585,s6421,s5518]) ).
cnf(s11673,plain,
( ~ spl2_98
| spl2_278
| ~ spl2_84
| ~ spl2_202
| ~ spl2_234
| ~ spl2_20
| ~ spl2_17
| spl2_149
| spl2_38
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s724,s11391,s11370,s8556,s451,s707,s661,s7471,s330,s10486,s11378,s9300,s10383,s1029,s504,s379,s733]) ).
cnf(s11674,plain,
( spl2_244
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1813,s724,s7471,s3195,s451,s9760,s3671,s11571,s10962,s10456,s10963,s1906,s11397,s8606,s2519,s11636,s8869,s7865,s154,s650,s5910,s11635,s165,s9321,s186,s11673,s641,s11672,s10250,s11367,s504,s379,s11671,s11670,s11664,s1222,s11353,s4953,s2854,s67,s8194,s225,s11657,s11648,s4041,s3965]) ).
cnf(s11675,plain,
( ~ spl2_203
| ~ spl2_47
| spl2_703
| spl2_202
| spl2_278
| ~ spl2_244
| spl2_31
| spl2_38
| spl2_93
| ~ spl2_6 ),
inference(rat,[],[s8935,s11586,s10962,s11665,s8198,s423,s4041,s3965,s733]) ).
cnf(s11676,plain,
( ~ spl2_19
| ~ spl2_178
| spl2_84
| spl2_139
| spl2_202
| spl2_26 ),
inference(rat,[],[s269,s10279,s10332]) ).
cnf(s11677,plain,
( spl2_180
| spl2_19
| ~ spl2_178
| spl2_754
| spl2_132
| spl2_84
| spl2_202
| spl2_278
| ~ spl2_244
| ~ spl2_17
| spl2_38
| spl2_93
| ~ spl2_308
| ~ spl2_555 ),
inference(rat,[],[s12,s573,s10383,s5387,s6600,s6186,s9519,s3623,s2369,s5381,s9514,s6059,s8870,s8869,s10964,s9329,s7903,s1867,s4788,s6026,s5562,s445,s11586,s4060,s656,s733,s1263,s724,s5819,s201]) ).
cnf(s11678,plain,
( ~ spl2_47
| ~ spl2_180
| spl2_703
| spl2_202
| spl2_278
| ~ spl2_244
| ~ spl2_17
| spl2_31
| spl2_38
| spl2_93
| ~ spl2_6
| ~ spl2_7 ),
inference(rat,[],[s5562,s445,s9501,s9326,s8870,s5381,s11476,s10962,s9223,s10502,s1041,s526,s11665,s3698,s8556,s451,s7471,s11675,s8194,s4041,s3965,s733]) ).
cnf(s11679,plain,
( spl2_84
| spl2_202
| spl2_234
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s11500,s11499,s11678,s11677,s11676,s851,s9379,s201,s7459,s9321,s186,s10296,s4953,s11573,s11674,s1259,s9764,s2854,s11660,s8194,s225,s4041,s67,s11648,s11657,s11353,s724,s5819,s3965]) ).
cnf(s11680,plain,
( spl2_202
| spl2_234
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s3194,s879,s1041,s9219,s9223,s7143,s8556,s7471,s330,s6613,s10962,s11498,s310,s851,s9379,s201,s165,s9321,s186,s11659,s11679,s11660,s9764,s11353,s2854,s67,s8194,s225,s11648,s4041,s3965,s733,s11573,s11674,s11657,s1259,s10714]) ).
cnf(s11681,plain,
( spl2_84
| ~ spl2_250
| spl2_226
| ~ spl2_181
| ~ spl2_247
| spl2_234
| spl2_278
| ~ spl2_17
| spl2_38
| spl2_93
| ~ spl2_308
| ~ spl2_6 ),
inference(rat,[],[s10335,s6059,s1867,s2369,s851,s6026,s9519,s9379,s201,s9321,s10296,s8869,s7575,s5562,s733]) ).
cnf(s11682,plain,
( spl2_234
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s9519,s9321,s7277,s11663,s11681,s724,s452,s10792,s6186,s445,s4354,s4060,s656,s4105,s11589,s349,s604,s11680,s11353,s4953,s2854,s67,s8194,s225,s11648,s4041,s3965,s11573,s11674,s11657,s1259]) ).
cnf(s11683,plain,
( spl2_202
| spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s269,s2078,s485,s1122,s8105,s7841,s2060,s8868,s428,s7838,s9673,s715,s4764,s5562,s445,s11644,s8871,s9524,s1113,s10963,s5380,s468,s11397,s2519,s1041,s9223,s8556,s7471,s330,s8869,s6613,s8547,s7815,s2604,s10383,s10962,s650,s1029,s11608,s11416,s11678,s724,s9764,s11640,s5819,s1263,s4953,s2854,s67,s8194,s225,s11648,s4041,s3965,s733,s641,s11573,s11674,s11657,s1259,s11353,s11682]) ).
cnf(s11684,plain,
( spl2_93
| ~ spl2_6
| spl2_4 ),
inference(rat,[],[s5874,s10964,s8869,s1867,s7575,s1845,s6026,s5562,s9519,s201,s6186,s445,s9321,s4354,s4060,s656,s10296,s4105,s11589,s379,s604,s11683,s11682,s733,s11573,s11674,s8194,s67,s225,s11657,s1259,s4041,s3965,s11648]) ).
cnf(s11685,plain,
( ~ spl2_98
| ~ spl2_93
| ~ spl2_6 ),
inference(rat,[],[s11373,s1545,s829,s5118]) ).
cnf(s11686,plain,
( spl2_244
| spl2_221
| ~ spl2_234
| spl2_229
| ~ spl2_299 ),
inference(rat,[],[s10456,s10962,s10963,s3671,s3673,s2751,s1222,s1536]) ).
cnf(s11687,plain,
( ~ spl2_6
| spl2_4 ),
inference(rat,[],[s1237,s6477,s827,s1519,s5102,s11686,s1525,s451,s996,s11647,s824,s7471,s8194,s5107,s5910,s201,s831,s67,s225,s9320,s1515,s11655,s8601,s186,s11685,s5118,s11684,s4953,s11648,s4041,s3965,s1259,s11353]) ).
cnf(s11688,plain,
( ~ spl2_149
| spl2_308
| ~ spl2_20
| spl2_10
| spl2_84
| spl2_202
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10482,s10574,s4869,s891,s2466,s1617,s3842,s11687,s11353]) ).
cnf(s11689,plain,
( spl2_308
| spl2_139
| ~ spl2_20
| ~ spl2_47
| spl2_110
| spl2_363
| spl2_84
| ~ spl2_98
| spl2_202
| ~ spl2_26
| ~ spl2_335
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s3325,s7998,s10459,s1142,s2448,s4389,s4299,s4759,s11688,s888,s91,s2739,s2843,s11353,s724,s11362]) ).
cnf(s11690,plain,
( spl2_139
| ~ spl2_20
| ~ spl2_47
| spl2_110
| spl2_363
| spl2_229
| spl2_84
| ~ spl2_98
| spl2_202
| ~ spl2_26
| ~ spl2_335
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s8105,s1122,s8871,s3317,s3325,s3644,s8975,s6898,s7998,s1347,s10238,s1142,s8646,s2448,s4390,s4389,s4299,s4759,s2025,s5162,s11689,s445,s11185,s11362,s724,s1263]) ).
cnf(s11691,plain,
( ~ spl2_20
| ~ spl2_47
| spl2_110
| spl2_363
| spl2_229
| spl2_84
| spl2_226
| ~ spl2_98
| spl2_202
| ~ spl2_26
| ~ spl2_335
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s5162,s11688,s2025,s4759,s9086,s11690,s2739,s2843,s11353]) ).
cnf(s11692,plain,
( spl2_308
| ~ spl2_178
| spl2_20
| ~ spl2_301
| ~ spl2_75
| spl2_226
| ~ spl2_98
| spl2_202
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10813,s10566,s4995,s10564,s2096,s394,s926,s4170,s4052,s1617,s1259,s253,s3842,s11687,s11353]) ).
cnf(s11693,plain,
( ~ spl2_149
| spl2_139
| ~ spl2_14
| spl2_84
| ~ spl2_98
| spl2_202
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10602,s11044,s11088,s4869,s2739,s2843,s11353]) ).
cnf(s11694,plain,
( ~ spl2_92
| spl2_346
| ~ spl2_178 ),
inference(rat,[],[s2096,s926]) ).
cnf(s11695,plain,
( spl2_20
| spl2_110
| spl2_84
| ~ spl2_98
| spl2_202
| ~ spl2_17
| ~ spl2_26
| spl2_234
| spl2_244
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10583,s11044,s11693,s4869,s10836,s9074,s5995,s3047,s4170,s11694,s5027,s11692,s3096,s10697,s859,s2739,s2843,s5910,s11353,s4007,s3476,s230,s91,s10232]) ).
cnf(s11696,plain,
( ~ spl2_149
| ~ spl2_308
| ~ spl2_20
| ~ spl2_40 ),
inference(rat,[],[s5038,s1699]) ).
cnf(s11697,plain,
( ~ spl2_191
| ~ spl2_77
| ~ spl2_178
| ~ spl2_644
| ~ spl2_156
| ~ spl2_36
| spl2_363
| ~ spl2_132
| ~ spl2_98
| ~ spl2_17 ),
inference(rat,[],[s6144,s528,s8975,s5350,s1347,s8646,s4390]) ).
cnf(s11698,plain,
( spl2_84
| ~ spl2_98
| spl2_202
| ~ spl2_17
| ~ spl2_26
| spl2_234
| ~ spl2_278
| spl2_244
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s11185,s724,s445,s9086,s11697,s10751,s11694,s851,s4299,s7596,s4759,s11696,s5027,s1617,s1029,s11691,s9512,s11695,s425,s2641,s11048,s4939,s4007,s5910,s3476,s230,s749,s91,s1259,s3842,s11687,s11353,s1222,s10232,s1263,s859]) ).
cnf(s11699,plain,
( ~ spl2_20
| ~ spl2_84
| ~ spl2_98
| ~ spl2_17
| ~ spl2_26
| spl2_4 ),
inference(rat,[],[s2096,s10486,s6565,s5027,s9300,s1617,s10383,s504,s1029,s170,s11379,s1259,s3842,s11687,s11353]) ).
cnf(s11700,plain,
( spl2_308
| ~ spl2_203
| spl2_94
| spl2_20
| ~ spl2_98
| spl2_4 ),
inference(rat,[],[s10565,s129,s4171,s4170,s8,s4052,s889,s1617,s253,s3842,s11687,s11353,s10697]) ).
cnf(s11701,plain,
( ~ spl2_132
| ~ spl2_84
| ~ spl2_98
| ~ spl2_17
| ~ spl2_26
| spl2_234
| spl2_244
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s11017,s10836,s10383,s9074,s11360,s3047,s6565,s11694,s5027,s11700,s10391,s11362,s3096,s3476,s6074,s154,s5093,s10250,s7605,s11400,s1259,s10232,s10697,s11699]) ).
cnf(s11702,plain,
( ~ spl2_149
| spl2_10
| spl2_139
| ~ spl2_44
| ~ spl2_14
| ~ spl2_98
| ~ spl2_17
| ~ spl2_26
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s11088,s10648,s4869]) ).
cnf(s11703,plain,
( ~ spl2_98
| spl2_202
| ~ spl2_17
| ~ spl2_26
| spl2_234
| ~ spl2_278
| spl2_244
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s1365,s1751,s11185,s10640,s445,s11425,s7143,s912,s3218,s4171,s3851,s9075,s4759,s11702,s226,s2739,s8,s2838,s10332,s1496,s2822,s5952,s9228,s777,s2738,s3498,s11362,s724,s4996,s4932,s10790,s10655,s11694,s10250,s10486,s6803,s6565,s154,s5366,s4929,s5910,s201,s4754,s11701,s10697,s11699,s11698,s1259,s2464,s3842,s11687,s11353,s10232,s1263]) ).
cnf(s11704,plain,
( spl2_202
| ~ spl2_17
| ~ spl2_26
| spl2_234
| ~ spl2_278
| spl2_244
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s3476,s4007,s230,s11048,s91,s425,s5366,s161,s186,s11703,s1259,s2464,s3842,s11687,s11353,s10232]) ).
cnf(s11705,plain,
( spl2_308
| ~ spl2_20
| spl2_226
| ~ spl2_139
| ~ spl2_202
| ~ spl2_5 ),
inference(rat,[],[s349,s1029,s10813,s1617]) ).
cnf(s11706,plain,
( ~ spl2_20
| spl2_90
| spl2_226
| ~ spl2_139
| ~ spl2_202
| ~ spl2_17
| ~ spl2_278
| spl2_244
| spl2_4 ),
inference(rat,[],[s5952,s10585,s6421,s2031,s1237,s6487,s11705,s996,s1259,s3842,s11687,s11353]) ).
cnf(s11707,plain,
( ~ spl2_44
| spl2_226
| ~ spl2_139
| ~ spl2_202
| ~ spl2_17
| ~ spl2_278
| spl2_244
| spl2_4 ),
inference(rat,[],[s394,s1617,s402,s5952,s10650,s1259,s3842,s11687,s11353]) ).
cnf(s11708,plain,
( ~ spl2_98
| ~ spl2_139
| ~ spl2_202
| ~ spl2_17
| ~ spl2_26
| spl2_234
| ~ spl2_278
| spl2_244
| spl2_4 ),
inference(rat,[],[s10384,s11706,s10583,s498,s11400,s4929,s10486,s11707,s10250,s5093,s6074,s859,s1259]) ).
cnf(s11709,plain,
( spl2_308
| ~ spl2_20
| ~ spl2_139
| ~ spl2_202
| ~ spl2_17
| ~ spl2_5 ),
inference(rat,[],[s4354,s4105,s6186,s1029,s11705,s1617]) ).
cnf(s11710,plain,
( ~ spl2_47
| ~ spl2_20
| ~ spl2_139
| ~ spl2_202
| ~ spl2_17
| ~ spl2_278
| spl2_244
| spl2_4 ),
inference(rat,[],[s11706,s1258,s6186,s2031,s4354,s6421,s4105,s349,s11709,s3842,s11687,s11353]) ).
cnf(s11711,plain,
( ~ spl2_20
| ~ spl2_139
| ~ spl2_202
| ~ spl2_17
| ~ spl2_278
| spl2_244
| spl2_4 ),
inference(rat,[],[s5952,s10585,s6421,s11367,s11710,s11709,s3842,s11687,s11353]) ).
cnf(s11712,plain,
( ~ spl2_17
| ~ spl2_26
| spl2_234
| ~ spl2_278
| spl2_244
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s394,s1617,s402,s11068,s11047,s3096,s10583,s10697,s11711,s9129,s11090,s230,s2017,s91,s3803,s5366,s4776,s161,s583,s186,s11708,s805,s11704,s1259,s2464,s3842,s11687,s11353,s10232]) ).
cnf(s11713,plain,
( spl2_202
| spl2_17
| spl2_234
| ~ spl2_278
| spl2_244
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s11233,s4869,s4759,s9086,s859,s2039,s2855,s1449,s9228,s1996,s234,s236,s12,s271,s1496,s10383,s11355,s10697,s72,s11129,s1617,s1988,s22,s1259,s3842,s11687,s11353]) ).
cnf(s11714,plain,
( spl2_84
| ~ spl2_94
| ~ spl2_202
| ~ spl2_308
| ~ spl2_25
| ~ spl2_14
| ~ spl2_31
| spl2_120
| ~ spl2_278
| spl2_244
| ~ spl2_7 ),
inference(rat,[],[s12,s9734,s10280,s7529,s11694,s5237,s5027,s3096,s5910,s230,s91]) ).
cnf(s11715,plain,
( ~ spl2_98
| ~ spl2_202
| ~ spl2_139
| ~ spl2_308
| ~ spl2_25
| ~ spl2_14
| ~ spl2_31
| spl2_234
| ~ spl2_278
| spl2_244
| spl2_93
| spl2_4 ),
inference(rat,[],[s4791,s7277,s11400,s11448,s11714,s10250,s5093,s6074,s859,s1259,s11353,s10232]) ).
cnf(s11716,plain,
( spl2_17
| spl2_234
| ~ spl2_278
| spl2_244
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s230,s3096,s91,s2974,s161,s186,s11715,s11713,s11355,s1617,s10383,s10697,s1988,s72,s22,s1259,s3842,s11687,s11353,s10232]) ).
cnf(s11717,plain,
( spl2_84
| ~ spl2_98
| ~ spl2_20
| spl2_202
| ~ spl2_308
| ~ spl2_17
| spl2_120
| spl2_234
| ~ spl2_278
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s98,s11697,s11694,s2641,s5027,s4939,s4007,s445,s5910,s3476,s11185,s851,s4295,s230,s749,s7596,s9715,s91,s11353,s1263,s9512,s724,s9086,s859,s4759,s11696,s1259]) ).
cnf(s11718,plain,
( ~ spl2_29
| ~ spl2_290
| spl2_26
| ~ spl2_40 ),
inference(rat,[],[s264,s1237,s1258,s4953]) ).
cnf(s11719,plain,
( ~ spl2_98
| ~ spl2_20
| spl2_202
| spl2_26
| ~ spl2_17
| spl2_120
| spl2_234
| ~ spl2_278
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s428,s1501,s7998,s11377,s504,s9300,s10486,s269,s10332,s271,s12,s11717,s11173,s11362,s9086,s859,s4759,s11696,s4953,s10383,s11718,s996,s1259]) ).
cnf(s11720,plain,
( ~ spl2_20
| spl2_202
| spl2_234
| ~ spl2_278
| spl2_244
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s10585,s11260,s11090,s10440,s9129,s2017,s91,s3803,s4776,s161,s583,s186,s11719,s2031,s11718,s996,s1259,s10232,s11712,s11716]) ).
cnf(s11721,plain,
( spl2_84
| ~ spl2_98
| spl2_20
| spl2_26
| ~ spl2_17
| spl2_120
| ~ spl2_278
| spl2_93
| ~ spl2_38
| spl2_4 ),
inference(rat,[],[s11197,s4869,s10836,s9074,s3047,s425,s11694,s8196,s309,s5027,s3096,s5910,s2739,s230,s2843,s91,s11353,s4953,s10697]) ).
cnf(s11722,plain,
( ~ spl2_132
| ~ spl2_78
| spl2_31
| spl2_139
| ~ spl2_84
| ~ spl2_98
| spl2_20
| ~ spl2_308
| ~ spl2_17
| spl2_120
| spl2_93
| ~ spl2_38
| ~ spl2_40 ),
inference(rat,[],[s11017,s4759,s9074,s3851,s3047,s4170,s11694,s10391,s3096,s3476,s10383,s154,s9300,s10250,s5027,s7605,s11400,s10697]) ).
cnf(s11723,plain,
( ~ spl2_234
| ~ spl2_244
| ~ spl2_93
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s421,s829,s724,s4211,s11005,s996,s828,s1237,s8513,s11694,s6477,s9354,s1525,s2614,s4932,s827,s1519,s5102,s5118]) ).
cnf(s11726,plain,
( spl2_232
| spl2_122
| ~ spl2_93 ),
inference(rat,[],[s2016,s155,s5119,s9158,s5098,s5118]) ).
cnf(s11727,plain,
( ~ spl2_244
| ~ spl2_93
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1531,s5085,s10964,s6074,s3623,s829,s4437,s4400,s583,s9131,s11726,s5186,s11723,s1519,s5102,s5118]) ).
cnf(s11728,plain,
( spl2_234
| spl2_207
| ~ spl2_93
| ~ spl2_38 ),
inference(rat,[],[s6074,s829,s583,s11726,s5186]) ).
cnf(s11729,plain,
( ~ spl2_98
| ~ spl2_234
| spl2_78
| spl2_197
| ~ spl2_93 ),
inference(rat,[],[s707,s6421,s10585,s2756,s829,s5118]) ).
cnf(s11730,plain,
( ~ spl2_93
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s330,s831,s2645,s1515,s11729,s1536,s11728,s5093,s9300,s10250,s827,s2031,s10383,s9154,s11727,s5118]) ).
cnf(s11731,plain,
( spl2_29
| ~ spl2_278
| ~ spl2_5
| ~ spl2_139
| ~ spl2_17
| spl2_244 ),
inference(rat,[],[s5952,s6421,s10585,s1617,s2031]) ).
cnf(s11732,plain,
( ~ spl2_84
| ~ spl2_144
| ~ spl2_47
| ~ spl2_20
| ~ spl2_17
| ~ spl2_98
| ~ spl2_26 ),
inference(rat,[],[s4929,s6803,s7605,s310]) ).
cnf(s11733,plain,
( ~ spl2_20
| ~ spl2_29
| ~ spl2_278
| ~ spl2_139
| ~ spl2_17
| spl2_202
| ~ spl2_98
| ~ spl2_234
| spl2_226
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s6803,s4929,s2642,s4939,s4995,s1845,s10519,s4007,s4320,s11732,s10813,s5162,s2025,s1029,s4759,s9086]) ).
cnf(s11734,plain,
( ~ spl2_139
| ~ spl2_17
| spl2_202
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s6645,s2061,s4929,s1497,s707,s2590,s1334,s1503,s1496,s11005,s3915,s11733,s11731,s5255,s4759,s4803,s4783,s4211,s9086,s5819,s720,s8943]) ).
cnf(s11735,plain,
( spl2_132
| ~ spl2_20
| ~ spl2_17
| spl2_202
| ~ spl2_98
| ~ spl2_234
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s3893,s10769,s310,s4932,s1029,s5885,s271,s1496,s2590,s11694,s10486,s6803,s6565,s4929]) ).
cnf(s11736,plain,
( ~ spl2_20
| ~ spl2_17
| spl2_202
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5292,s9325,s8869,s8870,s5195,s3760,s445,s4060,s656,s11558,s504,s4320,s10817,s4803,s4007,s5255,s10511,s10394,s11735,s11730,s1263,s420,s724,s11734]) ).
cnf(s11737,plain,
( ~ spl2_17
| spl2_202
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s707,s10486,s4929,s10394,s5255,s4803,s1496,s8212,s3915,s11736,s11734]) ).
cnf(s11738,plain,
( ~ spl2_84
| ~ spl2_144
| ~ spl2_47
| ~ spl2_20
| ~ spl2_98
| ~ spl2_26 ),
inference(rat,[],[s5995,s4170,s13,s3289,s9732,s2058,s310,s7605]) ).
cnf(s11739,plain,
( ~ spl2_29
| ~ spl2_20
| ~ spl2_278
| ~ spl2_139
| spl2_202
| ~ spl2_98
| ~ spl2_234
| spl2_226
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s6477,s8600,s4170,s5995,s13,s5463,s9733,s4939,s4995,s1845,s10519,s4007,s4320,s11738,s10813,s5162,s2025,s1237,s1029,s4803,s5819,s4759,s9086,s996]) ).
cnf(s11740,plain,
( ~ spl2_20
| ~ spl2_139
| spl2_202
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10519,s9114,s4939,s4605,s233,s5463,s10250,s1117,s7129,s2469,s9734,s236,s11499,s271,s2025,s1496,s5162,s11129,s1617,s11739,s11730,s22,s11737,s4783,s720,s4759,s9086,s8943,s5255,s4803,s5819]) ).
cnf(s11741,plain,
( ~ spl2_15
| ~ spl2_140
| ~ spl2_139
| ~ spl2_98
| ~ spl2_234 ),
inference(rat,[],[s2590,s1690,s4170,s452,s5995]) ).
cnf(s11742,plain,
( spl2_132
| ~ spl2_16
| ~ spl2_140
| ~ spl2_139
| ~ spl2_234
| spl2_226
| spl2_93 ),
inference(rat,[],[s4944,s10519,s9732,s4791]) ).
cnf(s11743,plain,
( ~ spl2_139
| spl2_202
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s271,s1496,s8,s11129,s506,s1617,s10817,s1334,s1117,s2061,s4320,s4007,s10519,s9067,s6645,s4939,s11742,s13,s11741,s5183,s11005,s10697,s11740,s5255,s4759,s4803,s4783,s4211,s9086,s5819,s720,s11730,s8943,s22,s11737]) ).
cnf(s11744,plain,
( ~ spl2_84
| spl2_132
| ~ spl2_20
| ~ spl2_47
| ~ spl2_98
| ~ spl2_26 ),
inference(rat,[],[s5995,s4170,s13,s3289,s9732,s2058,s310]) ).
cnf(s11745,plain,
( spl2_132
| ~ spl2_20
| ~ spl2_29
| ~ spl2_47
| spl2_202
| ~ spl2_98
| ~ spl2_234
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s6477,s8600,s4170,s5995,s13,s9733,s4932,s1845,s10769,s4007,s3893,s4320,s11744,s1237,s996]) ).
cnf(s11746,plain,
( spl2_202
| ~ spl2_98
| ~ spl2_38
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s8302,s10963,s3841,s5758,s330,s4044,s11507,s4320,s4803,s10830,s4007,s5255,s6545,s10511,s10394,s11745,s10697,s10383,s11499,s8,s12,s271,s236,s1496,s10288,s9228,s3169,s724,s11743,s22,s11737]) ).
cnf(s11747,plain,
( ~ spl2_211
| spl2_197
| spl2_17
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s8302,s10963,s3841,s5758,s10288,s3169,s22]) ).
cnf(s11748,plain,
( ~ spl2_172
| spl2_301
| ~ spl2_208
| spl2_196
| ~ spl2_16
| spl2_204
| spl2_132 ),
inference(rat,[],[s9733,s2448,s3088,s879,s1122,s9220,s9221]) ).
cnf(s11749,plain,
( ~ spl2_173
| ~ spl2_278
| ~ spl2_208
| ~ spl2_236
| ~ spl2_234 ),
inference(rat,[],[s9636,s6408]) ).
cnf(s11750,plain,
( ~ spl2_181
| spl2_197
| spl2_17
| spl2_139
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s8869,s3675,s5195,s3816,s10288,s3169,s22]) ).
cnf(s11751,plain,
( ~ spl2_301
| ~ spl2_169
| spl2_593
| ~ spl2_178
| ~ spl2_195
| ~ spl2_234
| spl2_93 ),
inference(rat,[],[s8869,s7901,s5874,s1968,s2642,s1845]) ).
cnf(s11752,plain,
( ~ spl2_84
| spl2_17
| spl2_132
| spl2_139
| ~ spl2_20
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10333,s11749,s11748,s9519,s11751,s5538,s8545,s4782,s1179,s445,s11750,s912,s4633,s8606,s2519,s1176,s330,s11747,s9732,s374,s9166,s13,s684,s10769,s10250,s26,s11499,s504,s11367,s1029,s904,s379,s11730,s1222,s8943,s11746,s758,s7720,s4754,s236,s9228,s724,s10288,s3169,s22]) ).
cnf(s11753,plain,
( ~ spl2_301
| ~ spl2_556
| spl2_132
| ~ spl2_202
| ~ spl2_234 ),
inference(rat,[],[s5509,s5938,s1845]) ).
cnf(s11754,plain,
( ~ spl2_208
| spl2_281
| ~ spl2_44
| ~ spl2_92
| ~ spl2_103
| ~ spl2_25
| spl2_212
| spl2_140
| ~ spl2_278
| ~ spl2_149
| ~ spl2_236
| ~ spl2_234
| ~ spl2_26 ),
inference(rat,[],[s10630,s9222,s1461,s1122,s10962,s3218,s11749]) ).
cnf(s11755,plain,
( spl2_17
| spl2_132
| spl2_139
| ~ spl2_20
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2519,s9461,s4652,s6082,s10256,s11754,s1797,s816,s43,s1003,s330,s5038,s13,s11,s10280,s275,s11747,s1617,s26,s10383,s2738,s371,s5129,s11499,s11367,s1029,s904,s8295,s9338,s7528,s9374,s5255,s243,s245,s4803,s10769,s4783,s5910,s10693,s10291,s7597,s3893,s10296,s3837,s91,s997,s11752,s236,s22,s11746,s7720,s9228,s724]) ).
cnf(s11756,plain,
( ~ spl2_181
| spl2_196
| spl2_203
| spl2_139
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s6220,s8871,s8869,s6618,s5195,s10962,s1165,s724]) ).
cnf(s11757,plain,
( spl2_181
| ~ spl2_301
| ~ spl2_266
| spl2_186
| spl2_47
| ~ spl2_195
| ~ spl2_178
| ~ spl2_712
| ~ spl2_234
| ~ spl2_335
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5538,s11751,s8545,s4782,s1179,s445]) ).
cnf(s11758,plain,
( ~ spl2_301
| ~ spl2_643
| ~ spl2_266
| spl2_203
| ~ spl2_16
| spl2_186
| spl2_47
| ~ spl2_195
| ~ spl2_346
| ~ spl2_178
| ~ spl2_712
| spl2_139
| ~ spl2_234
| ~ spl2_335
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s6681,s307,s6627,s1968,s8868,s9263,s8081,s5528,s8871,s8869,s11756,s6618,s3759,s5195,s11757,s879,s3088,s1122,s9222,s10633,s11730,s10962,s1165,s724,s2792,s10963,s5758,s330]) ).
cnf(s11759,plain,
( ~ spl2_84
| spl2_132
| spl2_139
| ~ spl2_20
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7711,s9519,s9222,s1122,s5575,s3218,s8298,s10735,s11758,s10729,s8543,s3982,s2792,s8302,s10963,s10962,s5758,s1165,s330,s9166,s11378,s13,s681,s10769,s4783,s26,s2738,s11448,s504,s170,s11367,s1029,s379,s11730,s1222,s8943,s11746,s724,s4754,s4996,s11694,s6803,s10288,s2590,s10486,s6565,s11755,s4929]) ).
cnf(s11760,plain,
( spl2_208
| ~ spl2_203
| spl2_47
| spl2_84
| ~ spl2_4 ),
inference(rat,[],[s2519,s9461,s4652,s6082,s10256,s91]) ).
cnf(s11761,plain,
( ~ spl2_140
| ~ spl2_278
| ~ spl2_178
| spl2_139
| ~ spl2_234 ),
inference(rat,[],[s10517,s8295]) ).
cnf(s11762,plain,
( spl2_132
| spl2_139
| ~ spl2_20
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s3671,s2519,s10962,s431,s1165,s330,s11760,s6082,s11754,s11761,s275,s372,s681,s1801,s2822,s9338,s5885,s10383,s2738,s3498,s9374,s5255,s4932,s10790,s245,s4803,s10769,s4783,s10291,s7597,s3893,s10296,s91,s11759,s4996,s11694,s10486,s6803,s6565,s11755,s4929,s1222,s11746,s7720,s420,s724]) ).
cnf(s11763,plain,
( ~ spl2_31
| ~ spl2_140
| spl2_278
| spl2_139
| ~ spl2_20
| ~ spl2_202
| spl2_226
| ~ spl2_38 ),
inference(rat,[],[s6063,s10767,s2469,s3169,s724]) ).
cnf(s11764,plain,
( spl2_139
| ~ spl2_20
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10767,s5027,s2590,s11694,s10486,s6803,s6565,s22,s11763,s10791,s9300,s26,s10383,s504,s1029,s379,s7597,s4803,s5255,s10394,s11762,s8943,s11746]) ).
cnf(s11765,plain,
( spl2_132
| ~ spl2_20
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7908,s470,s468,s5329,s9741,s8871,s2538,s9235,s6618,s3816,s10963,s11757,s8302,s10288,s3841,s4995,s8539,s330,s9733,s9732,s11742,s11373,s13,s4783,s26,s10383,s683,s170,s11367,s1029,s904,s379,s9166,s7597,s10769,s4803,s5937,s11753,s5938,s1845,s4791,s4754,s11730,s1222,s8943,s11746,s11764]) ).
cnf(s11766,plain,
( ~ spl2_246
| ~ spl2_209
| spl2_455
| ~ spl2_238
| spl2_207
| spl2_47
| ~ spl2_229
| ~ spl2_139
| spl2_226 ),
inference(rat,[],[s7408,s8298,s7752,s10963,s4937,s10962,s1059,s1041,s2519]) ).
cnf(s11767,plain,
( spl2_204
| ~ spl2_211
| ~ spl2_209
| spl2_455
| spl2_237
| spl2_78
| spl2_197
| spl2_17
| ~ spl2_132
| ~ spl2_139
| spl2_226
| ~ spl2_38 ),
inference(rat,[],[s5512,s5759,s2448,s4441,s10962,s4085,s4937,s572,s10963,s3416,s8302,s78,s10751,s6137,s9165,s10813,s10288,s3841]) ).
cnf(s11768,plain,
( ~ spl2_278
| spl2_78
| ~ spl2_96
| spl2_197
| ~ spl2_84
| spl2_17
| ~ spl2_132
| ~ spl2_229
| ~ spl2_139
| ~ spl2_202
| ~ spl2_234
| spl2_226
| ~ spl2_335
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s3100,s9460,s1569,s890,s6794,s11129,s11767,s11499,s236,s234,s1442,s330,s10603,s8606,s11766,s10735,s2848,s10519,s7768,s4939,s7527,s6387,s11448,s379]) ).
cnf(s11769,plain,
( ~ spl2_203
| ~ spl2_555
| ~ spl2_119
| spl2_47
| ~ spl2_139
| ~ spl2_98
| ~ spl2_234
| ~ spl2_335 ),
inference(rat,[],[s10333,s6797,s912,s1813,s10603,s4633,s8606,s2519,s4044]) ).
cnf(s11770,plain,
( ~ spl2_181
| spl2_217
| spl2_203
| spl2_17
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s9741,s8871,s2538,s6618,s3816,s3841,s330]) ).
cnf(s11771,plain,
( spl2_204
| spl2_203
| spl2_237
| spl2_278
| spl2_192
| spl2_94
| spl2_197
| spl2_47
| spl2_17
| ~ spl2_132
| ~ spl2_229
| ~ spl2_139
| ~ spl2_20
| ~ spl2_234
| spl2_226
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4300,s10964,s10679,s11123,s1179,s445,s11770,s9166,s1845,s10519,s493,s9220,s374,s684,s879,s11499,s3194,s1720,s6690,s2479,s2519,s1041,s1751,s1059,s8556,s5329,s2102,s10962,s5402,s8860,s10456,s572,s5577,s3412,s3416,s78,s10751,s6137,s10963,s9165,s8302,s10813,s10288,s11730,s22,s904,s9300,s10383,s1029,s733,s646,s641,s3841,s330]) ).
cnf(s11772,plain,
( ~ spl2_84
| spl2_17
| ~ spl2_20
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8868,s7839,s8952,s9496,s8545,s4650,s650,s4060,s8220,s445,s11770,s5329,s5402,s5577,s3412,s3416,s78,s10751,s2590,s1690,s11771,s3841,s330,s11769,s9419,s4041,s646,s4803,s10791,s641,s5255,s11768,s9300,s10828,s10250,s26,s10383,s765,s504,s11367,s1029,s904,s379,s11730,s1222,s8943,s11746,s8558,s11764,s11765]) ).
cnf(s11773,plain,
( spl2_17
| ~ spl2_20
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5093,s10250,s11766,s1117,s8606,s7129,s10603,s2469,s330,s9734,s11767,s11499,s11367,s2025,s9715,s3897,s4388,s10735,s10280,s2848,s10519,s7768,s6137,s4939,s7527,s10587,s6387,s5162,s9165,s11129,s5255,s11705,s4803,s4783,s7597,s10296,s11772,s22,s1222,s8943,s11746,s8558,s11764,s11765]) ).
cnf(s11774,plain,
( ~ spl2_84
| ~ spl2_17
| ~ spl2_139
| ~ spl2_20
| ~ spl2_202
| ~ spl2_98
| ~ spl2_234 ),
inference(rat,[],[s707,s9300,s10585,s10383,s504,s11367,s1029,s11370,s379]) ).
cnf(s11775,plain,
( ~ spl2_20
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s6565,s10661,s6483,s349,s7768,s1029,s7527,s11731,s5255,s11705,s4803,s4783,s7597,s10296,s11774,s11773,s11765,s11764,s8943,s11746]) ).
cnf(s11776,plain,
( spl2_29
| spl2_186
| ~ spl2_266
| spl2_132
| spl2_17
| ~ spl2_119
| spl2_47
| spl2_139
| ~ spl2_14
| ~ spl2_98
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7532,s2441,s3696,s3094,s912,s2522,s5538,s9496,s9461,s4633,s9499,s8545,s4650,s2519,s9732,s1179,s445,s1176,s330,s13,s11750,s11747,s374,s26,s2031,s11730,s904,s11499,s236,s9228,s724,s4754]) ).
cnf(s11777,plain,
( ~ spl2_203
| ~ spl2_278
| ~ spl2_29
| ~ spl2_555
| spl2_204
| ~ spl2_119
| spl2_47
| ~ spl2_236
| ~ spl2_14
| ~ spl2_98
| ~ spl2_234
| ~ spl2_335
| ~ spl2_4 ),
inference(rat,[],[s394,s2078,s2080,s1122,s9221,s10962,s11749,s3094,s912,s9461,s4633,s8606,s2519,s4044]) ).
cnf(s11778,plain,
( spl2_203
| spl2_17
| spl2_47
| ~ spl2_250
| ~ spl2_14
| spl2_244
| ~ spl2_38 ),
inference(rat,[],[s1041,s2519,s9218,s3671,s3094,s10962,s3841,s1165,s330,s1222]) ).
cnf(s11779,plain,
( spl2_132
| spl2_17
| ~ spl2_84
| spl2_139
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s453,s9464,s13,s3616,s9732,s1180,s445,s11757,s11750,s10767,s9519,s6545,s11777,s11776,s682,s9166,s4803,s10769,s5463,s4754,s11730,s1222,s8943,s805,s7720,s904,s10250,s504,s10288,s3169,s22,s11778,s379,s11746,s724,s10697,s11775]) ).
cnf(s11780,plain,
( spl2_17
| ~ spl2_84
| spl2_139
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5306,s7156,s8084,s8871,s7136,s3696,s10964,s2522,s9496,s4300,s3094,s9499,s4650,s10679,s9461,s427,s650,s2519,s4060,s4044,s445,s4803,s11750,s5255,s6545,s10394,s11779,s11778,s22,s11730,s10697,s11775,s420,s724,s10250,s504,s379,s11746]) ).
cnf(s11781,plain,
( ~ spl2_84
| spl2_139
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5255,s10394,s4803,s10769,s8212,s1941,s11780,s504,s379,s11746,s11775]) ).
cnf(s11782,plain,
( spl2_139
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9222,s10630,s1122,s10962,s431,s485,s1165,s330,s11760,s2822,s11754,s1794,s11008,s10383,s2738,s4932,s4996,s11694,s371,s680,s10279,s10280,s275,s904,s11499,s229,s245,s9734,s5910,s10291,s5463,s11761,s5091,s10394,s5255,s4803,s3096,s7597,s3893,s3837,s997,s11781,s7720,s724,s11746,s10697,s14,s11775]) ).
cnf(s11783,plain,
( ~ spl2_278
| spl2_17
| ~ spl2_84
| ~ spl2_132
| ~ spl2_229
| ~ spl2_139
| ~ spl2_14
| ~ spl2_202
| ~ spl2_234
| spl2_226
| ~ spl2_335
| ~ spl2_38 ),
inference(rat,[],[s5577,s5402,s8298,s7752,s10963,s4937,s10962,s3671,s3094,s3841,s330,s10603,s8606,s11766,s10735,s10519,s7768,s5383,s4939,s7527,s6387,s11448,s379,s6115,s22,s1948]) ).
cnf(s11784,plain,
( ~ spl2_172
| spl2_221
| spl2_250
| spl2_47
| ~ spl2_335
| ~ spl2_4 ),
inference(rat,[],[s2519,s2526,s3671,s7762]) ).
cnf(s11785,plain,
( spl2_78
| ~ spl2_173
| spl2_198
| spl2_237
| spl2_203
| spl2_197
| ~ spl2_132
| ~ spl2_140
| ~ spl2_139
| ~ spl2_234
| spl2_226 ),
inference(rat,[],[s98,s78,s2590,s3416,s1690,s7545,s10288,s5402,s8302,s7752,s10963,s4937,s11536]) ).
cnf(s11786,plain,
( ~ spl2_308
| ~ spl2_29
| ~ spl2_149
| spl2_17 ),
inference(rat,[],[s2794,s1258,s9165]) ).
cnf(s11787,plain,
( spl2_17
| ~ spl2_84
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2590,s1690,s1569,s10767,s11786,s10383,s9300,s11785,s10962,s11784,s3094,s3841,s11778,s330,s9419,s11769,s646,s4803,s641,s5255,s6545,s11783,s1222,s11742,s13,s11741,s1948,s8558,s10697,s11775,s11782,s8943,s11730,s10250,s10828,s504,s379,s11746]) ).
cnf(s11788,plain,
( ~ spl2_84
| ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1334,s2061,s11731,s6645,s5255,s4759,s4803,s4783,s9075,s8212,s422,s11787,s11742,s13,s11741,s1948,s8558,s10697,s11775,s11782,s8943,s11730]) ).
cnf(s11789,plain,
( spl2_207
| spl2_212
| spl2_47
| spl2_215
| ~ spl2_238
| ~ spl2_209
| spl2_237
| spl2_455
| ~ spl2_278
| ~ spl2_70
| ~ spl2_132
| ~ spl2_229
| ~ spl2_139
| spl2_226
| ~ spl2_335 ),
inference(rat,[],[s8298,s10963,s7545,s6127,s5402,s10603,s493,s8606,s11766]) ).
cnf(s11790,plain,
( ~ spl2_98
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11694,s4932,s10921,s11731,s3865,s22,s7529,s5237,s10250,s5093,s11789,s371,s904,s2025,s2773,s9715,s3897,s7768,s4388,s10735,s7527,s5091,s6387,s2848,s10519,s5255,s4944,s4803,s4783,s3096,s7597,s3893,s10296,s3837,s997,s11788,s11742,s13,s11741,s1948,s8558,s11782,s10697,s11775,s11746,s11730,s1222,s8943]) ).
cnf(s11791,plain,
( spl2_132
| spl2_47
| spl2_178
| ~ spl2_84
| ~ spl2_229
| ~ spl2_139
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s1690,s1948,s394,s10697,s402,s1029,s452,s26,s720,s13,s4783,s9732,s170]) ).
cnf(s11792,plain,
( ~ spl2_278
| ~ spl2_202
| ~ spl2_132
| spl2_207
| spl2_47
| spl2_17
| ~ spl2_84
| ~ spl2_229
| spl2_98
| ~ spl2_234
| spl2_226
| ~ spl2_335
| ~ spl2_38 ),
inference(rat,[],[s3416,s3841,s2645,s330,s153,s10603,s9300,s8606,s10383,s11766,s1029,s10735,s10697,s7768,s11048,s5383,s11783,s7527,s5458,s724,s421,s10715,s2974,s186,s504,s9118]) ).
cnf(s11793,plain,
( ~ spl2_203
| ~ spl2_140
| spl2_78
| ~ spl2_555
| spl2_47
| ~ spl2_139
| ~ spl2_234
| ~ spl2_335 ),
inference(rat,[],[s10333,s11536,s1813,s10603,s8606,s2519,s4044]) ).
cnf(s11794,plain,
( spl2_29
| ~ spl2_555
| spl2_278
| spl2_94
| spl2_47
| spl2_17
| spl2_98
| ~ spl2_234
| ~ spl2_335
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s3416,s3841,s2645,s330,s11793,s153,s10791,s9300,s26,s10383,s724,s421,s10715,s2974,s186]) ).
cnf(s11795,plain,
( ~ spl2_202
| spl2_47
| spl2_17
| ~ spl2_84
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s394,s1690,s402,s1948,s10767,s10697,s11786,s1029,s11794,s646,s4803,s641,s5255,s11792,s1222,s8943,s5093,s10250,s504,s11791,s2974,s186,s8558,s724,s421,s11790]) ).
cnf(s11796,plain,
( spl2_47
| spl2_17
| ~ spl2_84
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11005,s1029,s1334,s1617,s2061,s11129,s6645,s5255,s4759,s4803,s4783,s1496,s4211,s9086,s5819,s720,s11795,s11791,s271,s11499,s1199,s504,s8943,s8558,s724,s421,s2974,s186,s11790]) ).
cnf(s11797,plain,
( ~ spl2_47
| ~ spl2_84
| ~ spl2_139
| spl2_98
| ~ spl2_234
| spl2_226 ),
inference(rat,[],[s252,s8365,s9086,s2058,s379]) ).
cnf(s11798,plain,
( spl2_132
| ~ spl2_202
| ~ spl2_17
| spl2_47
| ~ spl2_84
| ~ spl2_229
| ~ spl2_139
| ~ spl2_234
| spl2_226
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8539,s11367,s4944,s1941,s10519,s11791,s10769,s4791,s504]) ).
cnf(s11799,plain,
( ~ spl2_278
| ~ spl2_113
| ~ spl2_132
| ~ spl2_202
| spl2_207
| spl2_47
| ~ spl2_229
| ~ spl2_139
| ~ spl2_110
| ~ spl2_234
| spl2_226
| ~ spl2_335
| ~ spl2_38 ),
inference(rat,[],[s4937,s10962,s10963,s9220,s7968,s879,s5767,s10603,s8606,s11766,s10735,s7768,s11048,s5383,s7527,s5458]) ).
cnf(s11800,plain,
( ~ spl2_181
| spl2_304
| spl2_203
| spl2_98
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s8871,s8938,s6618,s444,s879,s5767,s186]) ).
cnf(s11801,plain,
( spl2_181
| ~ spl2_266
| ~ spl2_309
| spl2_186
| ~ spl2_204
| ~ spl2_44
| spl2_278
| spl2_47
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8545,s10445,s1179,s445]) ).
cnf(s11802,plain,
( ~ spl2_202
| ~ spl2_84
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9263,s6898,s8871,s10238,s3056,s6618,s444,s11801,s9166,s5512,s11008,s888,s1845,s1414,s10735,s5402,s8298,s7752,s10963,s5610,s8543,s3416,s879,s2645,s5767,s330,s78,s11793,s9300,s684,s5885,s10383,s10751,s394,s261,s8852,s8212,s2590,s402,s646,s4803,s6421,s6190,s10585,s641,s5255,s6545,s11799,s9118,s11798,s765,s11730,s1222,s186,s8558,s904,s11796,s5093,s10250,s504,s11797,s724,s421,s11790,s8943]) ).
cnf(s11803,plain,
( ~ spl2_84
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11005,s1334,s1029,s2061,s11731,s6645,s5255,s170,s4759,s4803,s4783,s4211,s9086,s5819,s720,s11802,s11796,s11797,s8943,s724,s421,s11790]) ).
cnf(s11804,plain,
( ~ spl2_301
| ~ spl2_202
| ~ spl2_94
| ~ spl2_234 ),
inference(rat,[],[s5937,s5938,s1845]) ).
cnf(s11805,plain,
( ~ spl2_203
| ~ spl2_555
| spl2_455
| spl2_47
| ~ spl2_139
| ~ spl2_335 ),
inference(rat,[],[s8606,s2519,s10603,s4044]) ).
cnf(s11806,plain,
( ~ spl2_555
| ~ spl2_278
| spl2_47
| spl2_17
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5262,s8870,s3116,s5861,s8545,s4782,s888,s650,s711,s11129,s4060,s10587,s445,s153,s11770,s3416,s469,s3841,s2645,s330,s11805,s11730,s1222,s724,s421,s10715,s2974,s10751,s11499,s10280,s118,s22,s11803,s5383,s5458,s186,s11790]) ).
cnf(s11807,plain,
( ~ spl2_203
| ~ spl2_238
| spl2_455
| ~ spl2_148
| spl2_47
| spl2_84
| ~ spl2_139
| ~ spl2_335
| ~ spl2_4 ),
inference(rat,[],[s415,s7408,s2519,s8606,s10603,s11760,s371,s904,s997]) ).
cnf(s11808,plain,
( ~ spl2_202
| spl2_47
| spl2_17
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s3927,s711,s11129,s402,s10587,s153,s3416,s3841,s2645,s330,s11807,s4803,s11806,s7768,s5383,s7527,s641,s245,s646,s8416,s498,s9118,s5131,s11804,s11730,s1222,s8943,s5458,s8558,s724,s421,s10715,s1199,s11499,s10280,s118,s22,s11803,s2974,s186,s11790]) ).
cnf(s11809,plain,
( spl2_132
| spl2_202
| spl2_17
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8451,s307,s5350,s3850,s441,s5449,s10698,s10964,s11786,s11234,s26,s5509,s13,s1845,s10519,s9732,s4791,s11730,s2974,s186,s10751,s118,s22,s1263,s4803,s5819,s4759,s9086,s724,s421,s11790,s8943]) ).
cnf(s11810,plain,
( spl2_47
| spl2_17
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1448,s498,s9118,s11809,s4759,s9086,s11808,s234,s1199,s236,s11499,s8943,s724,s421,s2974,s186,s10280,s118,s22,s11790,s11803]) ).
cnf(s11811,plain,
( spl2_132
| ~ spl2_202
| ~ spl2_47
| spl2_19
| spl2_178
| ~ spl2_139
| ~ spl2_234
| spl2_226
| ~ spl2_26
| spl2_93 ),
inference(rat,[],[s10384,s349,s8,s452,s1199,s13,s11804,s9732,s4791]) ).
cnf(s11812,plain,
( spl2_94
| ~ spl2_132
| spl2_186
| ~ spl2_202
| ~ spl2_47
| spl2_19
| spl2_17
| ~ spl2_277
| spl2_356
| spl2_748
| spl2_250
| spl2_98
| spl2_226
| spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s444,s8664,s7928,s8869,s10735,s2336,s11048,s5383,s3468,s10791,s11786,s452,s10813,s4354,s11589,s349,s4105,s10697,s10383,s8,s12,s5093,s1199,s10250,s724,s2974,s186,s9118]) ).
cnf(s11813,plain,
( ~ spl2_206
| ~ spl2_246
| ~ spl2_238
| ~ spl2_209
| ~ spl2_113
| ~ spl2_132
| ~ spl2_202
| ~ spl2_47
| ~ spl2_139
| spl2_226 ),
inference(rat,[],[s2135,s8298,s879,s7408,s10524,s7752,s10963,s10962,s348,s7464]) ).
cnf(s11814,plain,
( ~ spl2_203
| ~ spl2_238
| spl2_455
| ~ spl2_156
| ~ spl2_209
| ~ spl2_113
| ~ spl2_132
| spl2_212
| ~ spl2_202
| ~ spl2_47
| ~ spl2_277
| ~ spl2_139
| spl2_226
| spl2_244 ),
inference(rat,[],[s10334,s2131,s2334,s7998,s11813,s2305,s8606,s10603,s1222]) ).
cnf(s11815,plain,
( ~ spl2_202
| spl2_17
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8535,s8537,s8868,s8871,s5528,s8941,s7968,s7752,s603,s1122,s10963,s4782,s485,s5805,s2334,s5861,s6674,s8869,s11813,s2305,s8870,s10938,s5392,s1906,s5262,s394,s2435,s230,s7529,s1690,s7986,s3096,s1948,s4052,s10697,s11129,s349,s402,s10587,s445,s153,s11770,s3416,s469,s3841,s2645,s5767,s330,s11814,s7768,s5383,s7527,s641,s646,s4759,s4761,s8416,s10735,s5514,s498,s11804,s7606,s11812,s9118,s11811,s371,s680,s7344,s11730,s1222,s8943,s5458,s1751,s2102,s583,s1570,s8558,s724,s421,s997,s91,s10715,s2974,s186,s10751,s10280,s118,s22,s11790,s11803,s11810]) ).
cnf(s11816,plain,
( ~ spl2_198
| spl2_404
| spl2_212
| ~ spl2_646
| spl2_455
| spl2_202
| spl2_17
| spl2_192
| ~ spl2_277
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10334,s2334,s324,s4002,s3841]) ).
cnf(s11817,plain,
( ~ spl2_140
| ~ spl2_20
| ~ spl2_29
| ~ spl2_278
| ~ spl2_149
| ~ spl2_31 ),
inference(rat,[],[s7129,s2469,s1334]) ).
cnf(s11818,plain,
( ~ spl2_196
| ~ spl2_333
| spl2_212
| ~ spl2_646
| spl2_455
| spl2_202
| spl2_17
| spl2_192
| ~ spl2_277
| spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11816,s2305,s7395,s8606,s1222]) ).
cnf(s11819,plain,
( spl2_196
| spl2_455
| ~ spl2_149
| spl2_202
| ~ spl2_47
| ~ spl2_139 ),
inference(rat,[],[s7917,s10502,s10603]) ).
cnf(s11820,plain,
( spl2_18
| ~ spl2_196
| spl2_455
| ~ spl2_278
| ~ spl2_149
| spl2_202
| ~ spl2_47
| spl2_19
| spl2_17
| spl2_192
| spl2_8
| ~ spl2_277
| spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11818,s371,s10268,s5655,s11817,s4105,s10697,s10383,s8,s12,s22]) ).
cnf(s11821,plain,
( spl2_17
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8416,s498,s1199,s11820,s11819,s5383,s5255,s9118,s4759,s4803,s11809,s9086,s5819,s11815,s11810,s10280,s118,s2974,s22,s8943,s5458,s186,s1570,s764,s997,s11803,s8558,s724,s421,s11790]) ).
cnf(s11822,plain,
( spl2_132
| ~ spl2_202
| spl2_47
| ~ spl2_17
| ~ spl2_139
| ~ spl2_234
| spl2_226
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11742,s13,s6190,s26,s11367,s1029,s8212,s4803,s11753,s4791]) ).
cnf(s11823,plain,
( ~ spl2_20
| spl2_206
| ~ spl2_211
| spl2_149
| ~ spl2_202
| spl2_186
| spl2_47
| ~ spl2_17
| ~ spl2_139
| ~ spl2_4 ),
inference(rat,[],[s11389,s10585,s5885,s11367,s1029]) ).
cnf(s11824,plain,
( ~ spl2_278
| ~ spl2_113
| ~ spl2_132
| ~ spl2_202
| spl2_47
| ~ spl2_17
| spl2_84
| ~ spl2_139
| ~ spl2_110
| ~ spl2_234
| spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s6483,s456,s1497,s1472,s3956,s3915,s11823,s2519,s8606,s7968,s10963,s4937,s10962,s2135,s879,s5767,s330,s11807,s245,s251,s8416,s498,s10250,s10735,s5093,s11048,s7768,s11799,s5383,s7527,s1222,s8943,s5458,s8558,s680,s904,s997]) ).
cnf(s11825,plain,
( ~ spl2_202
| spl2_47
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5885,s10280,s394,s2590,s402,s6421,s10585,s6545,s11824,s9118,s11822,s11730,s8943,s186,s724,s421,s11790,s11803,s11821]) ).
cnf(s11826,plain,
( spl2_47
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2590,s1503,s1496,s1497,s11005,s3915,s1029,s11731,s5255,s4803,s4783,s4211,s5819,s720,s11825,s724,s421,s11790,s11803,s11821]) ).
cnf(s11827,plain,
( spl2_132
| ~ spl2_202
| ~ spl2_47
| ~ spl2_17
| ~ spl2_75
| spl2_98
| ~ spl2_234
| spl2_226
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7960,s10964,s2527,s695,s441,s4060,s656,s11589,s8212,s4803,s11804,s11753,s4791,s11730,s186,s724,s421]) ).
cnf(s11828,plain,
( spl2_180
| ~ spl2_209
| ~ spl2_156
| spl2_455
| spl2_186
| spl2_84
| ~ spl2_277
| spl2_356
| ~ spl2_139
| ~ spl2_110
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s10335,s1867,s297,s6675,s1588,s8869,s2336,s656]) ).
cnf(s11829,plain,
( ~ spl2_278
| ~ spl2_113
| ~ spl2_132
| ~ spl2_202
| ~ spl2_47
| ~ spl2_17
| spl2_84
| ~ spl2_277
| spl2_356
| ~ spl2_139
| ~ spl2_110
| ~ spl2_234
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s6483,s456,s1497,s1472,s3956,s3915,s11589,s11828,s10735,s11048,s7768,s251,s4759,s2025,s5383,s7527,s5091,s11730,s5458,s680,s7344,s997]) ).
cnf(s11830,plain,
( ~ spl2_202
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8212,s349,s4803,s6421,s5255,s6545,s11829,s9118,s11827,s8943,s186,s1751,s2102,s583,s1570,s8558,s724,s421,s11790,s91,s11803,s11821,s11826]) ).
cnf(s11831,plain,
( ~ spl2_20
| ~ spl2_79
| spl2_404
| ~ spl2_246
| ~ spl2_29
| spl2_455
| spl2_237
| spl2_202
| ~ spl2_47
| ~ spl2_17
| spl2_192
| spl2_8
| ~ spl2_277
| ~ spl2_139
| ~ spl2_110
| spl2_226
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s1337,s5223,s3412,s9234,s7619,s324,s325,s7752,s10963,s2334,s371,s5655,s10429,s4105,s4759,s9086]) ).
cnf(s11832,plain,
( spl2_132
| spl2_404
| ~ spl2_246
| ~ spl2_29
| spl2_455
| spl2_237
| spl2_202
| ~ spl2_47
| ~ spl2_17
| spl2_192
| spl2_84
| ~ spl2_277
| ~ spl2_139
| ~ spl2_110
| ~ spl2_234
| spl2_226
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s10619,s1503,s11005,s988,s3915,s11831,s153,s10715,s2642,s4932,s1845,s5463,s4791,s4929,s997,s4211,s4803,s5819]) ).
cnf(s11833,plain,
( ~ spl2_20
| ~ spl2_234
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5093,s10250,s8298,s8416,s2645,s5443,s324,s7752,s10963,s2334,s371,s5655,s10429,s4105,s10735,s11048,s9118,s11832,s2305,s8606,s11819,s4759,s9086,s1222,s11731,s4783,s720,s5383,s5458,s6387,s5255,s4803,s5819,s11830,s11826,s11821,s764,s997,s11803,s1570,s8558,s724,s421,s186,s11790,s8943,s11730]) ).
cnf(s11834,plain,
( ~ spl2_234
| spl2_244
| ~ spl2_38
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s2590,s1503,s1496,s1497,s11005,s3915,s11833,s4211,s11830,s11821,s11803,s724,s421,s11790]) ).
cnf(s11835,plain,
( spl2_132
| ~ spl2_203
| ~ spl2_16
| spl2_181
| spl2_212
| spl2_186
| spl2_197
| ~ spl2_20
| ~ spl2_278
| ~ spl2_118
| ~ spl2_84
| ~ spl2_98
| spl2_47
| ~ spl2_195
| ~ spl2_31
| spl2_139
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5381,s8844,s5388,s8870,s8869,s8084,s9505,s3675,s8871,s3696,s9632,s7532,s912,s10268,s5538,s9496,s4633,s427,s8295,s8547,s8545,s4650,s2519,s7528,s1179,s9407,s243,s9166,s4783,s9732,s5910,s10769,s170,s4754,s10250,s504,s5899,s10383,s1029,s445]) ).
cnf(s11836,plain,
( spl2_254
| spl2_110
| ~ spl2_33
| ~ spl2_7
| ~ spl2_132
| ~ spl2_191
| ~ spl2_278
| spl2_94
| ~ spl2_98
| spl2_204
| ~ spl2_335
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9367,s307,s8870,s9271,s1487,s5375,s6482,s10964,s715,s9496,s4300,s9499,s4782,s4650,s10679,s10250]) ).
cnf(s11837,plain,
( spl2_110
| ~ spl2_33
| ~ spl2_148
| ~ spl2_7
| ~ spl2_132
| spl2_181
| spl2_186
| ~ spl2_278
| spl2_94
| ~ spl2_98
| ~ spl2_145
| spl2_47
| spl2_204
| ~ spl2_335
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5375,s9271,s10964,s1500,s10818,s651,s650,s11836,s445]) ).
cnf(s11838,plain,
( spl2_254
| ~ spl2_113
| ~ spl2_7
| ~ spl2_132
| ~ spl2_191
| ~ spl2_119
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s5375,s9510,s10964,s715,s6756,s9499,s4650]) ).
cnf(s11839,plain,
( spl2_149
| ~ spl2_132
| spl2_181
| spl2_186
| ~ spl2_112
| ~ spl2_278
| spl2_121
| spl2_94
| ~ spl2_98
| ~ spl2_19
| spl2_47
| spl2_204
| spl2_17
| ~ spl2_335
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5375,s9510,s1507,s651,s650,s11838,s1408,s425,s581,s11837,s9165,s890,s245,s646,s11730,s271,s10250,s445]) ).
cnf(s11840,plain,
( ~ spl2_555
| spl2_110
| ~ spl2_149
| ~ spl2_132
| ~ spl2_191
| ~ spl2_203
| spl2_94
| ~ spl2_98
| spl2_47
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8084,s5750,s8871,s6413,s9632,s4699,s10964,s912,s9496,s4300,s4633,s427,s4650,s10679,s2519,s650,s4044,s4060,s10250]) ).
cnf(s11841,plain,
( spl2_246
| ~ spl2_308
| ~ spl2_556
| spl2_140
| ~ spl2_132
| ~ spl2_203
| ~ spl2_25
| ~ spl2_278
| ~ spl2_119
| ~ spl2_98
| spl2_139
| spl2_234 ),
inference(rat,[],[s6919,s7093,s3104,s1122,s879,s9222,s9219,s10962,s10614,s912,s6474,s468,s4633]) ).
cnf(s11842,plain,
( ~ spl2_168
| spl2_110
| ~ spl2_191
| spl2_186
| spl2_94
| ~ spl2_98
| spl2_47
| ~ spl2_4 ),
inference(rat,[],[s4650,s650,s6756,s10818,s10250]) ).
cnf(s11843,plain,
( ~ spl2_180
| ~ spl2_169
| ~ spl2_556
| ~ spl2_149
| ~ spl2_132
| ~ spl2_191
| ~ spl2_119
| ~ spl2_98
| spl2_47 ),
inference(rat,[],[s6413,s4699,s5750,s9496,s5254,s4650,s650]) ).
cnf(s11844,plain,
( spl2_110
| spl2_140
| spl2_237
| ~ spl2_149
| ~ spl2_132
| ~ spl2_191
| ~ spl2_16
| spl2_211
| spl2_29
| spl2_94
| ~ spl2_98
| ~ spl2_19
| spl2_47
| spl2_17
| spl2_139
| spl2_234
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8868,s5755,s4164,s1500,s11843,s10964,s11842,s3748,s1498,s2519,s11841,s44,s45,s3420,s78,s10751,s6137,s9165,s1617,s4783,s4803,s3965,s11840,s271,s10250,s9523,s8947,s684,s904,s758,s9300,s10383,s330,s9778]) ).
cnf(s11845,plain,
( ~ spl2_555
| ~ spl2_113
| ~ spl2_149
| ~ spl2_191
| ~ spl2_203
| ~ spl2_119
| ~ spl2_98
| spl2_47
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8084,s8871,s5371,s9632,s10964,s912,s9496,s6756,s4633,s427,s4650,s2519,s3142,s650,s4044,s4060]) ).
cnf(s11846,plain,
( spl2_169
| spl2_347
| ~ spl2_191
| spl2_186
| ~ spl2_112
| ~ spl2_119
| ~ spl2_98
| spl2_47 ),
inference(rat,[],[s4650,s650,s6756,s1507,s10964]) ).
cnf(s11847,plain,
( ~ spl2_20
| ~ spl2_84
| ~ spl2_98
| spl2_47
| spl2_17
| ~ spl2_202
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8868,s8360,s4164,s8937,s11843,s6181,s11846,s1508,s2519,s11841,s1617,s4783,s4803,s3965,s11845,s1102,s1408,s425,s581,s11844,s8295,s7528,s261,s9419,s11839,s11835,s445,s330,s13,s11750,s11747,s374,s684,s26,s10383,s11367,s1029,s1222,s758,s10288,s3169,s22,s904,s11499,s236,s9228,s724,s155,s2017,s5186,s9523,s8947,s11730,s3377,s154,s10250,s504,s10232,s11834]) ).
cnf(s11848,plain,
( spl2_132
| ~ spl2_14
| ~ spl2_84
| ~ spl2_98
| spl2_47
| spl2_17
| spl2_40
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s3218,s10246,s3989,s912,s1569,s898,s888,s4633,s427,s11786,s2519,s11776,s423,s646,s682,s9166,s4783,s5910,s10769,s170,s11730,s904,s10828,s11778,s724,s2974,s3096,s154,s10250,s504,s10232,s11834]) ).
cnf(s11849,plain,
( spl2_29
| spl2_140
| ~ spl2_132
| spl2_110
| ~ spl2_84
| ~ spl2_98
| spl2_47
| spl2_17
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9419,s11844,s11839,s445,s13,s11750,s11747,s684,s26,s2031,s1222,s758,s3169,s22,s904,s11499,s236,s9228,s724,s155,s2017,s5186,s9523,s8947,s11730,s3377,s154,s10250,s504,s10232,s11834]) ).
cnf(s11850,plain,
( spl2_149
| ~ spl2_132
| ~ spl2_178
| ~ spl2_112
| spl2_94
| ~ spl2_98
| ~ spl2_19
| spl2_47
| spl2_17
| spl2_139
| spl2_234
| ~ spl2_335
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s6492,s10751,s11750,s11694,s11839,s5027,s680,s890,s5686,s3169,s22,s904,s155,s2017,s5186,s9523,s8947,s11730]) ).
cnf(s11851,plain,
( ~ spl2_84
| ~ spl2_98
| spl2_47
| spl2_17
| ~ spl2_202
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s394,s3009,s10246,s1569,s898,s11786,s11850,s11849,s8295,s7528,s309,s11848,s2974,s3096,s10697,s11847,s3377,s9523,s154,s10828,s8947,s10250,s504,s11730,s1222,s10232,s11834,s805,s22,s11499,s236,s9228,s724]) ).
cnf(s11852,plain,
( spl2_132
| ~ spl2_208
| spl2_140
| ~ spl2_16
| ~ spl2_25
| ~ spl2_278
| spl2_84
| ~ spl2_98
| ~ spl2_19
| spl2_47
| spl2_139
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s10333,s10614,s9222,s6474,s10630,s2519,s1498,s1122,s3218,s43,s245,s10693,s10291,s271,s10280,s4803,s7597]) ).
cnf(s11853,plain,
( ~ spl2_20
| ~ spl2_278
| spl2_84
| ~ spl2_98
| ~ spl2_19
| spl2_47
| spl2_17
| ~ spl2_202
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s45,s44,s1185,s2096,s6137,s5027,s11852,s11760,s2469,s330,s6063,s9165,s13,s11747,s11008,s26,s10383,s11367,s1029,s724,s22,s3893,s10280,s4783,s10296]) ).
cnf(s11854,plain,
( ~ spl2_98
| spl2_47
| spl2_17
| ~ spl2_202
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10333,s10614,s9221,s6474,s8606,s2519,s1498,s1122,s3218,s11760,s11778,s11180,s10697,s11853,s5255,s4803,s10280,s7597,s11851,s1222,s10232,s11834,s3169,s22,s271,s11499,s236,s9228,s724]) ).
cnf(s11855,plain,
( spl2_246
| ~ spl2_279
| ~ spl2_278
| ~ spl2_113
| ~ spl2_132
| spl2_212
| ~ spl2_119
| spl2_211
| spl2_139
| spl2_234 ),
inference(rat,[],[s9219,s879,s10962,s10524,s10614,s4633,s4909]) ).
cnf(s11856,plain,
( spl2_149
| ~ spl2_278
| ~ spl2_113
| ~ spl2_132
| ~ spl2_112
| spl2_212
| spl2_306
| ~ spl2_119
| spl2_211
| spl2_47
| spl2_139
| spl2_234
| ~ spl2_4 ),
inference(rat,[],[s10524,s415,s1508,s2519,s11855,s245,s9168,s330]) ).
cnf(s11858,plain,
( ~ spl2_208
| ~ spl2_442
| ~ spl2_169
| spl2_177
| ~ spl2_180
| ~ spl2_206
| spl2_304
| spl2_207
| ~ spl2_209
| spl2_234
| spl2_93 ),
inference(rat,[],[s10333,s5386,s9219,s5381,s8844,s879,s8870,s8869,s9355,s9497,s8664,s6413,s9632,s2479,s10714]) ).
cnf(s11859,plain,
( ~ spl2_169
| spl2_179
| spl2_177
| spl2_520
| ~ spl2_180
| ~ spl2_206
| spl2_304
| spl2_216
| ~ spl2_333
| ~ spl2_113
| ~ spl2_203
| spl2_207
| ~ spl2_79
| ~ spl2_209
| spl2_234
| spl2_93 ),
inference(rat,[],[s7136,s3696,s9497,s9505,s8870,s5381,s5386,s4937,s10962,s10963,s3830,s8298,s3416,s11858,s8871,s8084,s5371,s10714]) ).
cnf(s11860,plain,
( ~ spl2_442
| ~ spl2_693
| ~ spl2_188
| ~ spl2_180
| ~ spl2_650
| spl2_217
| spl2_140
| ~ spl2_149
| spl2_211
| ~ spl2_31 ),
inference(rat,[],[s1122,s9222,s7103,s10962,s8218,s5386,s9456]) ).
cnf(s11861,plain,
( ~ spl2_555
| spl2_217
| spl2_304
| spl2_216
| spl2_140
| ~ spl2_149
| ~ spl2_278
| ~ spl2_113
| ~ spl2_25
| ~ spl2_191
| ~ spl2_119
| spl2_211
| spl2_207
| ~ spl2_79
| ~ spl2_209
| spl2_92
| spl2_47
| ~ spl2_31
| spl2_234
| ~ spl2_335
| spl2_93 ),
inference(rat,[],[s8084,s8871,s5388,s11860,s5381,s8844,s307,s8870,s8869,s294,s7549,s9257,s10964,s11859,s8547,s4782,s4650,s3142,s650,s4060,s4044,s4041,s330,s10268]) ).
cnf(s11862,plain,
( spl2_246
| spl2_140
| ~ spl2_149
| ~ spl2_278
| ~ spl2_113
| ~ spl2_132
| ~ spl2_25
| ~ spl2_191
| ~ spl2_119
| spl2_211
| spl2_207
| ~ spl2_79
| ~ spl2_209
| spl2_92
| spl2_47
| ~ spl2_31
| spl2_139
| spl2_234
| ~ spl2_335
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9219,s879,s10962,s10524,s10614,s6474,s4803,s11861,s468,s4633,s427]) ).
cnf(s11863,plain,
( ~ spl2_180
| ~ spl2_33
| ~ spl2_556
| ~ spl2_149
| ~ spl2_113
| ~ spl2_119
| spl2_92
| spl2_47 ),
inference(rat,[],[s294,s307,s10964,s9271,s9510,s5254,s4650,s3142,s650]) ).
cnf(s11864,plain,
( ~ spl2_278
| ~ spl2_113
| ~ spl2_132
| ~ spl2_16
| ~ spl2_20
| ~ spl2_112
| ~ spl2_191
| spl2_212
| spl2_186
| spl2_306
| spl2_211
| spl2_207
| ~ spl2_79
| ~ spl2_209
| spl2_92
| ~ spl2_19
| spl2_47
| spl2_17
| spl2_139
| spl2_234
| ~ spl2_335
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8868,s5755,s4164,s1500,s11863,s3748,s44,s9165,s45,s1617,s4783,s4803,s1498,s9407,s4044,s2519,s11862,s3420,s9778,s8295,s7528,s261,s9419,s11856,s22,s10250,s504,s1497,s271,s330,s10383,s1029]) ).
cnf(s11865,plain,
( spl2_47
| spl2_17
| ~ spl2_202
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10791,s11763,s11864,s9118,s9732,s13,s26,s1029,s10697,s3096,s3377,s154,s445,s364,s677,s1102,s10250,s11750,s11747,s155,s504,s11448,s78,s6492,s10830,s10735,s3702,s1497,s10751,s2974,s1207,s118,s583,s186,s11854,s271,s11499,s11730,s1222,s8943,s5186,s10232,s11834,s236,s9228,s724,s3169,s22]) ).
cnf(s11866,plain,
( spl2_20
| spl2_180
| spl2_186
| ~ spl2_148
| spl2_149
| spl2_18
| ~ spl2_31
| ~ spl2_74
| ~ spl2_38 ),
inference(rat,[],[s2435,s1502,s5749,s4336,s659,s3850,s1500,s890,s271,s8,s8494,s10697]) ).
cnf(s11867,plain,
( ~ spl2_84
| ~ spl2_47
| spl2_18
| spl2_17
| ~ spl2_202
| spl2_139
| spl2_234
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8537,s8535,s8871,s659,s8868,s415,s3798,s445,s4164,s330,s11750,s11747,s6492,s10751,s11507,s3289,s11866,s10830,s2058,s7277,s11374,s11730,s4781,s805,s3169,s22,s4759,s245,s680,s371,s5686,s9374,s9338,s7344]) ).
cnf(s11868,plain,
( spl2_29
| spl2_180
| ~ spl2_71
| ~ spl2_549
| spl2_84
| spl2_18
| spl2_17 ),
inference(rat,[],[s9464,s3848,s1500,s10280,s271,s12,s11009,s10383]) ).
cnf(s11869,plain,
( spl2_181
| ~ spl2_169
| spl2_184
| spl2_180
| ~ spl2_94
| ~ spl2_75
| spl2_186
| ~ spl2_4 ),
inference(rat,[],[s4400,s4437,s2527,s3623,s4339,s4702,s445]) ).
cnf(s11870,plain,
( ~ spl2_20
| ~ spl2_98
| spl2_229
| spl2_84
| ~ spl2_47
| spl2_18
| spl2_17
| ~ spl2_202
| spl2_139
| ~ spl2_335
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s525,s7901,s7865,s8869,s4802,s5195,s3816,s11869,s1237,s11868,s8384,s10964,s10268,s3392,s4321,s4354,s11589,s4105,s996,s11730,s10288,s3169,s22,s680,s5686,s7344,s91,s4320,s3861,s8947,s7596,s4759,s9374,s9338]) ).
cnf(s11871,plain,
( ~ spl2_98
| spl2_229
| spl2_84
| ~ spl2_47
| spl2_18
| spl2_17
| ~ spl2_202
| spl2_139
| ~ spl2_335
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11694,s5027,s10280,s890,s3096,s8,s10697,s11870,s10291,s3837,s245,s9374,s9338]) ).
cnf(s11872,plain,
( spl2_17
| ~ spl2_202
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5371,s5375,s659,s1507,s445,s11589,s1408,s11750,s10697,s155,s6492,s3096,s3702,s10751,s425,s2974,s1207,s5910,s3377,s118,s583,s186,s230,s11871,s749,s91,s11867,s680,s245,s646,s5686,s9374,s9338,s7344,s11865,s236,s22,s11730,s1222,s5186,s10232,s11834,s9228,s724]) ).
cnf(s11873,plain,
( spl2_29
| ~ spl2_132
| spl2_149
| spl2_94
| ~ spl2_98
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s11694,s5027,s6565,s6803,s890,s9300,s5885,s10383]) ).
cnf(s11874,plain,
( spl2_149
| ~ spl2_118
| spl2_94
| ~ spl2_98
| spl2_47
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s11694,s4170,s5027,s5995,s3096,s1472,s9075,s10697,s1029,s11873,s5910,s251,s646,s4759]) ).
cnf(s11875,plain,
( spl2_132
| ~ spl2_20
| spl2_237
| ~ spl2_112
| ~ spl2_278
| spl2_121
| spl2_207
| ~ spl2_84
| ~ spl2_98
| spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_324
| ~ spl2_335
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2341,s698,s5679,s11846,s5952,s1179,s1180,s445,s9221,s11756,s2565,s8606,s2479,s2519,s1408,s1498,s1122,s8860,s3218,s9503,s3356,s10963,s10962,s5758,s1165,s330,s11378,s9166,s4783,s10769,s170,s11730,s724,s10250,s684,s904,s758,s271,s5885,s10486,s576,s4996,s11694,s6565,s6803,s9300,s10383,s504,s2738,s1029]) ).
cnf(s11876,plain,
( ~ spl2_20
| ~ spl2_149
| ~ spl2_112
| spl2_207
| ~ spl2_84
| ~ spl2_98
| spl2_47
| ~ spl2_17
| spl2_139
| spl2_234
| ~ spl2_335
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s879,s3194,s9219,s6690,s4633,s2479,s2519,s1498,s3218,s3356,s10963,s10962,s5758,s1165,s330,s11378,s4783,s1617,s5027,s11875,s11694,s10486,s6565,s6803,s271,s9300,s5885,s10383,s1029,s10714,s724,s10250,s155,s2017,s5186,s9523,s8947,s504,s11730,s9419]) ).
cnf(s11877,plain,
( spl2_92
| ~ spl2_5
| ~ spl2_132
| ~ spl2_178
| ~ spl2_19
| spl2_237
| ~ spl2_149
| ~ spl2_96
| spl2_94
| spl2_207
| ~ spl2_98
| spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_324
| ~ spl2_26
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s4650,s2150,s6756,s4583,s10964,s1074,s1344,s8646,s45,s10598,s44,s394,s2642,s10383,s13,s5038,s5027,s9300,s5995,s1569,s6565,s4170,s10751,s10250]) ).
cnf(s11878,plain,
( ~ spl2_84
| ~ spl2_98
| spl2_47
| ~ spl2_202
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s3927,s5027,s926,s11694,s3009,s11877,s4803,s4783,s10769,s3096,s8212,s988,s422,s1941,s10697,s11876,s9419,s11874,s3377,s154,s10828,s10250,s504,s11448,s11730,s1222,s10714,s10232,s11834,s11872]) ).
cnf(s11879,plain,
( spl2_29
| ~ spl2_178
| ~ spl2_132
| ~ spl2_70
| spl2_84
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s11694,s5027,s10280,s11008,s5885]) ).
cnf(s11880,plain,
( spl2_149
| spl2_84
| ~ spl2_98
| spl2_47
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s1497,s11694,s3915,s4932,s1029,s11879,s851,s5910,s7596,s11874,s646,s4759,s3837,s3893]) ).
cnf(s11881,plain,
( spl2_191
| ~ spl2_161
| ~ spl2_19
| spl2_229
| spl2_47
| spl2_192
| spl2_139
| ~ spl2_335
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s7865,s8869,s650,s5195,s304,s445]) ).
cnf(s11882,plain,
( spl2_254
| ~ spl2_191
| spl2_299
| ~ spl2_346
| spl2_132
| ~ spl2_25
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s1968,s6677,s4809,s8547,s8545]) ).
cnf(s11883,plain,
( spl2_132
| ~ spl2_20
| spl2_229
| spl2_84
| ~ spl2_98
| spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_335
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1968,s10964,s1500,s4321,s650,s11882,s11881,s1565,s816,s2822,s11694,s1003,s10486,s9732,s5463,s4929,s11730,s758,s4803,s7597,s2738,s10383,s13,s26,s271,s10280,s5885,s5038,s11008,s1029,s3893,s11880]) ).
cnf(s11884,plain,
( ~ spl2_20
| spl2_229
| spl2_84
| ~ spl2_98
| spl2_47
| ~ spl2_17
| ~ spl2_202
| spl2_139
| ~ spl2_335
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10830,s1819,s1846,s1125,s1156,s45,s1003,s44,s9300,s2096,s6803,s5027,s11879,s11883,s10280,s13,s11008,s5885,s26,s10383,s8852,s1029,s3893,s4783,s10296,s11880]) ).
cnf(s11885,plain,
( spl2_180
| ~ spl2_346
| ~ spl2_145
| spl2_84
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s1968,s10964,s1500,s4321]) ).
cnf(s11886,plain,
( ~ spl2_98
| spl2_47
| ~ spl2_202
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9367,s8870,s307,s5952,s1592,s2435,s2342,s2522,s2573,s9499,s9356,s698,s445,s5195,s8869,s7865,s5634,s4782,s650,s11885,s1562,s567,s4996,s11694,s1497,s11180,s3096,s8494,s988,s3915,s10697,s11884,s5255,s4803,s749,s7597,s3837,s91,s11878,s11730,s1222,s10232,s11834,s4781,s805,s11872]) ).
cnf(s11887,plain,
( spl2_191
| spl2_207
| spl2_98
| spl2_139
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s8869,s8664,s5195,s441,s445,s10735,s1207,s186]) ).
cnf(s11888,plain,
( spl2_132
| ~ spl2_16
| ~ spl2_20
| ~ spl2_191
| ~ spl2_118
| ~ spl2_84
| spl2_299
| spl2_186
| spl2_98
| spl2_47
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s689,s528,s4809,s8547,s8545,s690,s650,s9398,s7178,s646,s4783,s9732,s5910,s170,s10383,s1029]) ).
cnf(s11889,plain,
( spl2_254
| ~ spl2_308
| ~ spl2_7
| ~ spl2_25
| ~ spl2_191
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s2435,s5749,s4715,s715,s528,s6677,s9499,s8547]) ).
cnf(s11890,plain,
( spl2_149
| ~ spl2_113
| ~ spl2_132
| ~ spl2_19
| ~ spl2_25
| ~ spl2_191
| ~ spl2_112
| spl2_347
| spl2_186
| spl2_47
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s9510,s5375,s1507,s659,s650,s11889,s890,s245,s646]) ).
cnf(s11891,plain,
( ~ spl2_203
| ~ spl2_555
| spl2_269
| ~ spl2_456
| ~ spl2_149
| ~ spl2_25
| spl2_47
| ~ spl2_17
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8871,s5278,s8084,s6580,s427,s10630,s2519,s4044]) ).
cnf(s11892,plain,
( ~ spl2_211
| spl2_207
| spl2_98
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s10334,s8298,s5758,s2645,s10735,s1207,s186]) ).
cnf(s11893,plain,
( spl2_254
| ~ spl2_308
| ~ spl2_149
| ~ spl2_25
| ~ spl2_203
| ~ spl2_191
| spl2_47
| ~ spl2_17
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s4803,s11891,s5254,s5749,s2435,s4715,s528,s6677,s8547]) ).
cnf(s11894,plain,
( ~ spl2_254
| ~ spl2_113
| ~ spl2_132
| ~ spl2_20
| ~ spl2_191
| ~ spl2_112
| spl2_347
| spl2_186
| spl2_47
| ~ spl2_17
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s1964,s528,s2157,s5588,s207,s9510,s1319,s5375,s4783,s1507,s657,s1500,s650,s13,s26,s271,s5885,s1029]) ).
cnf(s11895,plain,
( ~ spl2_20
| ~ spl2_203
| ~ spl2_191
| ~ spl2_118
| ~ spl2_84
| spl2_281
| spl2_299
| spl2_347
| spl2_186
| spl2_98
| spl2_47
| ~ spl2_17
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9032,s10524,s8868,s10438,s5755,s3457,s10964,s5380,s4660,s5371,s2519,s3142,s11891,s423,s9398,s3965,s2435,s4783,s4715,s1617,s888,s528,s6677,s11893,s8547,s8545,s2604,s11894,s11890,s9118,s11888,s13,s5885,s26,s10383,s1029,s3377]) ).
cnf(s11897,plain,
( spl2_180
| ~ spl2_115
| ~ spl2_132
| ~ spl2_178
| ~ spl2_240
| ~ spl2_191
| ~ spl2_112
| spl2_347
| spl2_186 ),
inference(rat,[],[s8862,s6196,s4336,s1507]) ).
cnf(s11898,plain,
( ~ spl2_84
| spl2_193
| spl2_281
| spl2_299
| spl2_347
| spl2_186
| spl2_98
| spl2_47
| ~ spl2_17
| ~ spl2_202
| spl2_139
| spl2_120
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s394,s4715,s1939,s2522,s3116,s4657,s9499,s8545,s650,s11897,s1617,s888,s11068,s7178,s4783,s10769,s3096,s8494,s422,s1941,s10697,s11895,s330,s11892,s11887,s3377,s154,s10250,s504,s11448,s11730,s4781,s805]) ).
cnf(s11899,plain,
( spl2_191
| spl2_356
| spl2_98
| spl2_139
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s1902,s10964,s11887,s3760,s695,s724,s186]) ).
cnf(s11900,plain,
( spl2_29
| spl2_132
| ~ spl2_191
| spl2_84
| spl2_299
| ~ spl2_110
| spl2_47
| ~ spl2_17
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s657,s4783,s650,s1617,s11882,s2822,s11694,s9732,s43,s10341,s10280,s13,s5885,s26,s10383,s10693]) ).
cnf(s11901,plain,
( spl2_132
| ~ spl2_191
| ~ spl2_118
| spl2_84
| spl2_299
| ~ spl2_110
| spl2_47
| ~ spl2_17
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s4932,s11694,s10769,s1497,s3096,s1941,s3915,s10697,s1029,s11900]) ).
cnf(s11902,plain,
( ~ spl2_20
| ~ spl2_113
| ~ spl2_132
| ~ spl2_191
| ~ spl2_112
| spl2_84
| spl2_193
| spl2_347
| spl2_186
| ~ spl2_110
| spl2_47
| ~ spl2_17
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s2342,s2822,s2573,s4715,s2527,s528,s6677,s10341,s10280,s4657,s9499,s8547,s5885,s10383,s11894,s1029,s91]) ).
cnf(s11903,plain,
( spl2_47
| ~ spl2_202
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4657,s1939,s650,s11897,s394,s11879,s11068,s7178,s11180,s3096,s8494,s988,s1941,s10697,s11902,s9118,s11901,s11899,s3377,s230,s91,s11898,s1751,s558,s1791,s9158,s1408,s2113,s677,s155,s3702,s1207,s583,s186,s11886,s11730,s5186,s10232,s11834,s4781,s805,s11872]) ).
cnf(s11904,plain,
( spl2_132
| ~ spl2_84
| ~ spl2_98
| spl2_149
| ~ spl2_47
| ~ spl2_17
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s4932,s456,s10769,s11694,s3956,s1941,s6565,s6803,s11744,s4929]) ).
cnf(s11905,plain,
( ~ spl2_20
| ~ spl2_84
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| ~ spl2_202 ),
inference(rat,[],[s6803,s10830,s310,s349,s7277]) ).
cnf(s11906,plain,
( ~ spl2_84
| ~ spl2_98
| spl2_149
| ~ spl2_47
| ~ spl2_17
| ~ spl2_74
| ~ spl2_202
| ~ spl2_250
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8870,s3760,s9325,s4336,s2522,s4715,s2096,s4170,s5027,s5995,s1500,s1472,s9075,s8494,s3915,s10697,s11905,s11904,s656,s11374,s11730,s4759,s251]) ).
cnf(s11907,plain,
( ~ spl2_98
| spl2_149
| ~ spl2_47
| ~ spl2_17
| ~ spl2_74
| ~ spl2_202
| ~ spl2_250
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9325,s8870,s2527,s3759,s8646,s11869,s10964,s3392,s4321,s656,s11589,s3915,s1497,s2642,s11694,s4932,s11879,s851,s8947,s10291,s7596,s3893,s91,s11906,s11730,s4759,s245,s680,s5686,s7344]) ).
cnf(s11908,plain,
( ~ spl2_20
| ~ spl2_84
| ~ spl2_191
| spl2_98
| ~ spl2_47
| ~ spl2_17
| ~ spl2_202
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8868,s8535,s8536,s9732,s4164,s8871,s5350,s13,s11892,s5821,s6677,s453,s1926,s11507,s1964,s10751,s10715,s10830,s4354,s2157,s3289,s310,s349,s4105,s4781,s805,s1207,s186,s2058,s656,s659,s245,s508,s526,s8975,s4759,s4657,s3392,s11374,s11730,s680,s5686,s9374,s9338,s7344]) ).
cnf(s11909,plain,
( ~ spl2_84
| ~ spl2_191
| spl2_98
| ~ spl2_47
| ~ spl2_17
| ~ spl2_202
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2435,s5749,s1502,s1500,s1472,s3915,s11908,s526,s659,s8975,s11374,s11730,s4759,s251,s245,s680,s5686,s9374,s9338,s7344]) ).
cnf(s11910,plain,
( spl2_180
| ~ spl2_113
| ~ spl2_132
| ~ spl2_112
| ~ spl2_191
| spl2_347
| spl2_186
| ~ spl2_148 ),
inference(rat,[],[s9510,s5375,s1507,s659]) ).
cnf(s11911,plain,
( ~ spl2_202
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11068,s3096,s1472,s10697,s11589,s11910,s9118,s5910,s3377,s230,s91,s11909,s11899,s1751,s1408,s2113,s155,s3702,s1207,s583,s186,s11907,s680,s245,s251,s646,s5686,s9374,s9338,s7344,s11903,s11872,s4781,s805,s11730,s5186,s10232,s11834,s724]) ).
cnf(s11912,plain,
( spl2_17
| spl2_47
| spl2_202
| spl2_99
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s271,s1496,s11499,s3169,s236,s22]) ).
cnf(s11913,plain,
( ~ spl2_84
| ~ spl2_98
| spl2_47
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11694,s11877,s4995,s4783,s10769,s1496,s3096,s988,s422,s1941,s3915,s10697,s9419,s11876,s4007,s11874,s3377,s3476,s154,s5093,s10828,s10250,s504,s11730,s1222,s10714,s10232,s11834,s11912,s11911,s9228,s724]) ).
cnf(s11914,plain,
( ~ spl2_20
| ~ spl2_278
| spl2_229
| spl2_84
| ~ spl2_98
| ~ spl2_17
| spl2_47
| spl2_202
| spl2_139
| ~ spl2_335
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7587,s5848,s9300,s1496,s1055,s6803,s271,s11008,s11879,s5885,s10383,s11883,s1029,s996,s3893,s4007,s4320]) ).
cnf(s11915,plain,
( ~ spl2_98
| spl2_47
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10619,s11180,s988,s10697,s11914,s5255,s4803,s4007,s749,s7597,s4320,s91,s11913,s1222,s10232,s11834,s11912,s11911,s9228,s724]) ).
cnf(s11916,plain,
( spl2_47
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s504,s10250,s91,s154,s230,s3476,s4007,s1207,s186,s11915,s10232,s11834,s11911]) ).
cnf(s11917,plain,
( ~ spl2_84
| ~ spl2_20
| spl2_17
| ~ spl2_98
| ~ spl2_47
| spl2_139
| spl2_234
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8535,s8537,s8868,s659,s8871,s4162,s415,s11377,s445,s9059,s330,s3468,s11750,s11747,s371,s680,s6492,s245,s5686,s10751,s2025,s3289,s11558,s11738,s2058,s11730,s5655,s4105]) ).
cnf(s11918,plain,
( spl2_191
| spl2_17
| spl2_139
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s5012,s307,s8870,s11750,s3850,s3760,s445,s724,s22]) ).
cnf(s11919,plain,
( ~ spl2_180
| ~ spl2_309
| spl2_346
| ~ spl2_144
| spl2_132
| ~ spl2_191
| spl2_110
| ~ spl2_20
| ~ spl2_98
| ~ spl2_47
| ~ spl2_26 ),
inference(rat,[],[s10335,s8646,s9733,s4300,s1347,s13,s10208,s3116,s453,s4978,s3317]) ).
cnf(s11920,plain,
( spl2_180
| ~ spl2_191
| spl2_186
| spl2_84
| ~ spl2_98
| spl2_202
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8646,s5874,s2527,s8869,s10964,s4339,s3858,s4321,s91,s4007,s4320]) ).
cnf(s11921,plain,
( spl2_132
| ~ spl2_180
| ~ spl2_191
| spl2_110
| spl2_84
| ~ spl2_29
| ~ spl2_20
| spl2_17
| ~ spl2_98
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s888,s11919,s11786,s4932,s229,s245,s5463,s5910,s10291,s3837,s4803,s7597]) ).
cnf(s11922,plain,
( spl2_149
| spl2_363
| ~ spl2_180
| spl2_110
| spl2_84
| ~ spl2_29
| ~ spl2_20
| spl2_17
| ~ spl2_98
| ~ spl2_47
| spl2_139
| spl2_234
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11620,s7998,s469,s1142,s2448,s4389,s330,s11747,s6492,s10751,s11694,s10715,s6940,s9496,s8646,s4390,s10251,s4299,s267,s4759,s11918,s11730,s3698]) ).
cnf(s11923,plain,
( spl2_17
| ~ spl2_98
| ~ spl2_47
| spl2_202
| spl2_99
| spl2_139
| spl2_234
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8451,s1715,s10964,s6690,s8646,s4699,s1347,s3116,s5588,s888,s4978,s11786,s2025,s11922,s5512,s11921,s307,s3317,s11920,s11918,s5603,s1207,s4007,s680,s4320,s997,s11917,s5655,s4105,s10383,s10697,s12,s8,s271,s1496,s3169,s236,s22,s11730,s724]) ).
cnf(s11924,plain,
( spl2_191
| ~ spl2_247
| ~ spl2_141
| spl2_139
| spl2_244
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s5292,s9325,s8869,s8870,s5195,s3760,s445,s724]) ).
cnf(s11925,plain,
( ~ spl2_20
| ~ spl2_84
| ~ spl2_98
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4789,s8646,s2155,s2641,s1207,s1964,s4010,s2157,s5848,s508,s5643,s1540,s526,s1347,s8869,s4657,s659,s8975,s3858,s11924,s1055,s3392,s888,s4939,s680,s3786,s9523,s245,s4759,s5686,s6803,s851,s10715,s656,s2025,s5655,s3289,s310,s11744,s11558,s11738,s4105,s996,s11730,s1263,s11923,s11911,s9228,s724,s11834,s2058,s11916]) ).
cnf(s11926,plain,
( spl2_191
| ~ spl2_84
| ~ spl2_98
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s579,s2113,s6483,s1751,s4170,s1902,s424,s11007,s3851,s10964,s890,s11904,s267,s4759,s5085,s7276,s9064,s7855,s4128,s3619,s8869,s656,s5195,s11924,s3760,s445,s11730,s10714,s1263,s2058,s988,s3169,s1496,s3915,s11925,s11923,s11916,s9228,s724,s11834,s11911]) ).
cnf(s11927,plain,
( spl2_78
| ~ spl2_278
| ~ spl2_556
| ~ spl2_204
| ~ spl2_84
| ~ spl2_17
| ~ spl2_98 ),
inference(rat,[],[s3927,s5952,s3009,s10486,s6565]) ).
cnf(s11928,plain,
( ~ spl2_84
| ~ spl2_98
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9496,s6940,s4128,s10715,s4336,s11694,s4715,s8494,s4170,s453,s4781,s3851,s9075,s5952,s5027,s11722,s4759,s889,s2025,s229,s7605,s4929,s11927,s11926,s5255,s3169,s4803,s1496,s8212,s988,s3915,s11925,s2058,s11730,s10232,s11923,s11916,s11911,s9228,s724,s11834]) ).
cnf(s11929,plain,
( spl2_132
| ~ spl2_20
| spl2_110
| ~ spl2_556
| ~ spl2_5
| ~ spl2_118
| ~ spl2_17
| ~ spl2_98
| ~ spl2_47
| ~ spl2_26 ),
inference(rat,[],[s5162,s3498,s229,s10486,s10790,s5910,s5463,s4929]) ).
cnf(s11930,plain,
( ~ spl2_203
| ~ spl2_140
| ~ spl2_77
| ~ spl2_644
| spl2_363
| ~ spl2_20
| ~ spl2_75
| ~ spl2_17
| ~ spl2_47
| spl2_202
| ~ spl2_324
| spl2_244 ),
inference(rat,[],[s3325,s10579,s10553]) ).
cnf(s11931,plain,
( spl2_191
| spl2_363
| ~ spl2_20
| ~ spl2_301
| spl2_84
| ~ spl2_17
| ~ spl2_98
| ~ spl2_47
| spl2_202
| spl2_139
| ~ spl2_324
| spl2_244
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s8868,s5528,s6627,s11756,s330,s11930,s9372,s5350,s8646,s10964,s1601,s10751,s11694,s120,s4995,s3169,s851,s10288,s4299,s7596,s3675,s4759,s5012,s9064,s307,s3698,s3619,s3317,s8869,s656,s8870,s5195,s11924,s3760,s445,s724,s1263,s91,s1207]) ).
cnf(s11932,plain,
( ~ spl2_20
| ~ spl2_98
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5350,s10751,s8646,s11694,s4390,s851,s4299,s7596,s4759,s5027,s2025,s888,s4978,s3116,s5588,s526,s6677,s3698,s3317,s11920,s11931,s5512,s11929,s680,s5655,s4105,s11730,s10714,s11923,s11916,s9228,s11834,s997,s3837,s4783,s10296,s4803,s7597,s1207,s5603,s4007,s4320,s11928,s11911,s724]) ).
cnf(s11933,plain,
( ~ spl2_98
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10619,s11180,s988,s10697,s11932,s4007,s4320,s11928,s11923,s10232,s11834,s9228,s724,s11911,s11916]) ).
cnf(s11934,plain,
( ~ spl2_20
| ~ spl2_17
| ~ spl2_94
| ~ spl2_84
| spl2_356
| spl2_186
| spl2_98
| ~ spl2_47
| spl2_202
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8535,s8868,s8871,s4164,s5821,s11892,s11507,s1902,s3478,s10964,s3621,s3623,s4437,s4400,s8536,s9732,s5350,s13,s6677,s453,s1965,s1964,s2161,s2157,s2154,s508,s526,s8545,s8869,s10751,s659,s8975,s3858,s656,s3289,s310,s11558,s11899,s11730,s4781,s161,s4759,s245,s8365,s2058]) ).
cnf(s11935,plain,
( ~ spl2_17
| spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5381,s8844,s8870,s8869,s9298,s9257,s10964,s5388,s7276,s5588,s3619,s4802,s528,s4336,s10268,s4715,s1503,s5255,s2822,s453,s4803,s10332,s1472,s9075,s8494,s8212,s988,s3915,s11934,s10735,s677,s10250,s154,s11899,s1751,s2113,s155,s3702,s5186,s583,s11730,s4781,s161,s4759,s251,s8365,s2058,s91,s230,s3476,s4007,s1207,s186,s11911,s10232,s11834,s11916,s11933]) ).
cnf(s11936,plain,
( spl2_139
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8535,s8537,s8868,s8871,s4164,s659,s415,s3798,s11507,s11558,s330,s10697,s11750,s11747,s8,s6492,s271,s10751,s4010,s1496,s118,s3169,s236,s22,s11935,s245,s4759,s8365,s2058,s11899,s91,s1751,s230,s677,s2113,s364,s3476,s155,s4007,s3702,s1207,s583,s186,s11933,s11916,s11911,s9228,s724,s11730,s5186,s10232,s11834]) ).
cnf(s11937,plain,
( spl2_202
| ~ spl2_98
| ~ spl2_17
| ~ spl2_47
| ~ spl2_84
| ~ spl2_139
| spl2_226
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s11335,s1690,s1496,s4929,s4754,s11005,s3915,s7605,s11738,s2025,s4759,s4211,s9086]) ).
cnf(s11938,plain,
( ~ spl2_98
| ~ spl2_17
| ~ spl2_47
| ~ spl2_84
| ~ spl2_139
| spl2_234
| spl2_226
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5952,s11285,s452,s9075,s4759,s890,s2025,s988,s5091,s11905,s11451,s11937]) ).
cnf(s11939,plain,
( ~ spl2_20
| ~ spl2_202
| ~ spl2_17
| ~ spl2_345
| ~ spl2_47
| ~ spl2_139
| spl2_234 ),
inference(rat,[],[s6492,s10751,s6421,s3289,s349]) ).
cnf(s11940,plain,
( ~ spl2_17
| ~ spl2_47
| ~ spl2_229
| ~ spl2_139
| spl2_234
| spl2_226
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s1690,s5952,s452,s1948,s1472,s9075,s10697,s11939,s641,s9086,s251,s646,s4759,s8365,s11938,s2058,s91,s749]) ).
cnf(s11941,plain,
( spl2_202
| ~ spl2_31
| ~ spl2_47
| ~ spl2_84
| ~ spl2_139
| ~ spl2_324
| spl2_244
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s9234,s5596,s4645,s7408,s1314,s7752,s10963,s4937,s10962,s4664,s4055,s8551,s8606,s11819,s5383,s6115,s5463,s11005,s7605,s11738,s2025,s8365,s5255,s4759,s4803,s4211,s9086,s5819,s1263,s1222,s8943,s2058]) ).
cnf(s11942,plain,
( spl2_191
| spl2_98
| ~ spl2_77
| spl2_178
| ~ spl2_31
| ~ spl2_38 ),
inference(rat,[],[s8451,s307,s10964,s5350,s3850,s695,s441,s186]) ).
cnf(s11943,plain,
( ~ spl2_20
| spl2_186
| ~ spl2_148
| ~ spl2_156
| ~ spl2_278
| ~ spl2_355
| spl2_180
| ~ spl2_202
| ~ spl2_31
| ~ spl2_47
| ~ spl2_84
| ~ spl2_277
| ~ spl2_139
| spl2_234
| ~ spl2_38 ),
inference(rat,[],[s5381,s2336,s5388,s1588,s659,s8975,s11942,s1751,s2113,s583,s6074,s1926,s10751,s10715,s4354,s3289,s310,s4105,s2058,s155,s3702,s7277,s5186]) ).
cnf(s11944,plain,
( ~ spl2_94
| ~ spl2_342
| ~ spl2_254
| ~ spl2_268
| ~ spl2_269
| ~ spl2_590
| ~ spl2_132
| ~ spl2_209
| ~ spl2_324 ),
inference(rat,[],[s7835,s5642,s4772,s9257,s9323]) ).
cnf(s11945,plain,
( ~ spl2_47
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s6074,s5093,s11812,s10250,s11944,s9331,s573,s8,s271,s1500,s1751,s3850,s1367,s3816,s8789,s7902,s7928,s5805,s8869,s8844,s2160,s5383,s7528,s6115,s5183,s1948,s10697,s11943,s3468,s680,s7527,s10213,s245,s4759,s5686,s641,s2025,s229,s8870,s7605,s5865,s5131,s10735,s656,s7344,s7277,s11374,s11941,s22,s11940,s11730,s8943,s10714,s1570,s91,s749,s8558,s11936,s11834]) ).
cnf(s11946,plain,
( spl2_202
| ~ spl2_549
| spl2_98
| spl2_47
| ~ spl2_84
| ~ spl2_139
| spl2_244
| ~ spl2_4 ),
inference(rat,[],[s9118,s11048,s5255,s170,s4803,s4783,s4007,s5819,s720]) ).
cnf(s11947,plain,
( spl2_149
| ~ spl2_204
| ~ spl2_44
| ~ spl2_19
| ~ spl2_229 ),
inference(rat,[],[s5952,s641,s890,s646]) ).
cnf(s11949,plain,
( spl2_203
| spl2_191
| spl2_98
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s8868,s8173,s6627,s11800,s330,s445,s10964,s695,s186]) ).
cnf(s11950,plain,
( spl2_191
| ~ spl2_132
| ~ spl2_20
| ~ spl2_17
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10333,s2457,s1813,s6580,s8606,s10630,s2519,s4044,s11949,s4803,s3927,s11068,s8451,s307,s2435,s8547,s5392,s650,s8869,s1507,s10964,s7855,s695,s441,s11730,s1222,s10714,s3377,s186,s1408,s677,s583,s155,s2017,s5186,s10383,s402,s11947,s6421,s10585,s11367,s11946,s3476,s154,s10232,s6074,s5093,s10250,s504,s91,s749,s11834,s5885,s1029,s11945,s8558,s11936]) ).
cnf(s11951,plain,
( ~ spl2_132
| ~ spl2_20
| ~ spl2_17
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5262,s8870,s6677,s5861,s8547,s4782,s11894,s11950,s9118,s11730,s1222,s3377,s1408,s677,s583,s155,s2017,s5186,s10383,s1029,s10585,s6421,s11367,s11946,s3476,s154,s10232,s6074,s5093,s10250,s504,s91,s749,s8558,s11834,s11945,s11936]) ).
cnf(s11952,plain,
( ~ spl2_20
| ~ spl2_17
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4811,s11054,s10699,s5952,s11949,s4944,s4995,s9379,s11888,s11791,s4791,s11951,s13,s6421,s6190,s10585,s26,s11367,s1029,s11730,s8943,s10714,s8947,s677,s9158,s583,s155,s2017,s5186,s11946,s3476,s154,s10232,s6074,s5093,s10250,s504,s11945,s91,s749,s8558,s11834,s11936]) ).
cnf(s11953,plain,
( ~ spl2_17
| spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s394,s1690,s402,s1617,s10813,s11068,s4783,s10769,s3096,s1948,s422,s1941,s10697,s11952,s8943,s11946,s3476,s154,s10232,s6074,s5093,s10250,s504,s11945,s91,s749,s8558,s11834,s11936]) ).
cnf(s11954,plain,
( spl2_149
| ~ spl2_191
| ~ spl2_113
| ~ spl2_132
| spl2_186
| spl2_347
| ~ spl2_112
| spl2_47
| ~ spl2_229
| ~ spl2_139
| ~ spl2_335
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8869,s9257,s8844,s9510,s5381,s5374,s5388,s8870,s715,s5861,s9499,s4782,s10735,s650,s11048,s11910,s641,s245,s646]) ).
cnf(s11955,plain,
( ~ spl2_301
| ~ spl2_204
| ~ spl2_149
| spl2_15
| ~ spl2_25
| ~ spl2_191
| ~ spl2_132
| spl2_178
| ~ spl2_202
| spl2_98
| spl2_47
| ~ spl2_139
| spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s10335,s8451,s9529,s307,s8238,s5262,s7919,s8870,s5861,s8547,s4782,s650,s4060,s1690,s4803,s10791,s5255,s11048,s1222,s9118]) ).
cnf(s11956,plain,
( ~ spl2_203
| ~ spl2_693
| ~ spl2_555
| spl2_278
| spl2_188
| ~ spl2_464
| ~ spl2_44
| ~ spl2_204
| spl2_47
| ~ spl2_139
| ~ spl2_335
| spl2_93 ),
inference(rat,[],[s5386,s10962,s8871,s1813,s8105,s5380,s8606,s1122,s2519,s11056,s4044]) ).
cnf(s11957,plain,
( ~ spl2_211
| ~ spl2_79
| spl2_17
| spl2_98
| ~ spl2_38 ),
inference(rat,[],[s3416,s3841,s2645]) ).
cnf(s11958,plain,
( ~ spl2_278
| ~ spl2_44
| ~ spl2_209
| ~ spl2_204
| spl2_211
| ~ spl2_149
| ~ spl2_79
| ~ spl2_191
| ~ spl2_20
| ~ spl2_113
| spl2_92
| ~ spl2_31
| ~ spl2_202
| spl2_212
| spl2_207
| ~ spl2_119
| spl2_47
| ~ spl2_139
| spl2_234
| spl2_226
| ~ spl2_335
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11861,s6115,s4633,s427,s5383,s10630,s2519,s11805,s9407,s4803,s4783,s3927,s11705,s5952,s10383,s1029,s330,s402]) ).
cnf(s11959,plain,
( ~ spl2_44
| ~ spl2_209
| ~ spl2_204
| spl2_211
| ~ spl2_149
| ~ spl2_79
| ~ spl2_191
| ~ spl2_20
| ~ spl2_113
| spl2_92
| ~ spl2_31
| spl2_212
| spl2_47
| ~ spl2_139
| spl2_234
| spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11956,s5381,s5262,s8870,s5861,s4782,s2604,s650,s11805,s4060,s4803,s5255,s11958,s1222,s8943,s11946,s3476,s154,s10232,s6074,s5093,s10250,s504,s91,s749,s8558,s330]) ).
cnf(s11960,plain,
( ~ spl2_204
| spl2_211
| ~ spl2_149
| ~ spl2_191
| spl2_92
| spl2_178
| spl2_17
| spl2_212
| spl2_47
| ~ spl2_139
| spl2_234
| spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11861,s4633,s427,s10630,s2519,s9407,s3965,s4783,s11705,s11129,s10791,s1690,s11959,s10735,s11955,s1222,s8943,s11946,s3476,s22,s9118,s11791,s6074,s5093,s26,s153,s9300,s10383,s1029,s10697,s3096,s154,s10250,s10232,s504,s91,s749,s8558,s10715,s330]) ).
cnf(s11961,plain,
( spl2_246
| ~ spl2_455
| ~ spl2_355
| ~ spl2_247
| ~ spl2_203
| ~ spl2_139
| ~ spl2_335
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s6195,s8868,s10962,s4153,s1813,s9461,s8606]) ).
cnf(s11962,plain,
( spl2_180
| ~ spl2_203
| ~ spl2_113
| ~ spl2_132
| spl2_356
| spl2_186
| spl2_347
| spl2_212
| ~ spl2_112
| spl2_47
| ~ spl2_139
| spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8868,s6195,s4162,s2335,s2519,s2305,s11961,s2336,s8869,s5805,s8870,s9510,s5375,s5865,s1507,s656,s1222,s8943,s1570,s8558]) ).
cnf(s11963,plain,
( spl2_244
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10335,s9032,s9510,s10524,s8084,s8952,s8871,s8868,s5386,s6195,s10962,s1813,s5380,s427,s8606,s2519,s5381,s8870,s4044,s11805,s5861,s4803,s8545,s4782,s2604,s11863,s3142,s650,s11962,s9165,s10813,s11960,s330,s11957,s11954,s153,s9300,s10383,s1029,s11942,s10697,s9118,s10751,s3096,s11791,s10715,s118,s2974,s22,s11953,s1751,s677,s1408,s2113,s364,s583,s186,s3377,s6074,s154,s5093,s155,s10250,s2017,s504,s11945,s91,s749,s8558,s11936,s10232,s5186,s11834,s8943,s1222,s11730]) ).
cnf(s11964,plain,
( spl2_84
| spl2_234
| ~ spl2_590
| spl2_191
| spl2_202
| ~ spl2_132
| ~ spl2_156
| ~ spl2_290
| ~ spl2_98
| ~ spl2_17
| ~ spl2_244
| ~ spl2_4 ),
inference(rat,[],[s3675,s6492,s10288,s10751,s1683,s11694,s1327,s1237,s4932,s9331,s5237,s11879,s3307,s7815,s851,s8947,s4007,s749,s7596,s3893,s4320,s91,s1263]) ).
cnf(s11965,plain,
( ~ spl2_204
| spl2_179
| ~ spl2_308
| ~ spl2_278
| ~ spl2_593
| ~ spl2_589 ),
inference(rat,[],[s4715,s307,s4802,s8458,s10268,s1690,s5952]) ).
cnf(s11966,plain,
( spl2_234
| ~ spl2_590
| ~ spl2_589
| spl2_191
| spl2_202
| ~ spl2_132
| ~ spl2_156
| ~ spl2_20
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2155,s1964,s4789,s2157,s8646,s508,s2641,s3675,s4010,s10288,s11965,s9150,s5588,s5642,s7579,s4939,s9033,s440,s7815,s888,s6492,s9523,s4772,s5865,s3786,s10751,s6803,s851,s10715,s7903,s656,s3289,s310,s11558,s2058,s11964,s10714,s11730,s11963,s996,s1263]) ).
cnf(s11967,plain,
( ~ spl2_234
| spl2_202
| ~ spl2_132
| ~ spl2_7
| ~ spl2_20
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1690,s2822,s10791,s351,s888,s5995,s4618,s3786,s4170,s851,s10715,s3289,s310,s2058,s9114,s3837,s10511,s10394,s11416,s420,s11730,s724]) ).
cnf(s11968,plain,
( spl2_191
| spl2_234
| spl2_202
| ~ spl2_132
| ~ spl2_156
| ~ spl2_20
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11966,s8869,s8870,s5195,s3760,s445,s11730,s724]) ).
cnf(s11969,plain,
( spl2_84
| ~ spl2_191
| spl2_202
| ~ spl2_132
| spl2_149
| ~ spl2_20
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| ~ spl2_250
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s98,s5350,s11694,s8646,s4932,s5512,s6677,s11879,s4390,s5603,s3317,s851,s8947,s4295,s4007,s11920,s7596,s9715,s3893,s4320,s4759,s680,s5686,s5655,s4105]) ).
cnf(s11970,plain,
( spl2_202
| ~ spl2_132
| spl2_149
| ~ spl2_20
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1964,s3621,s2157,s9514,s508,s5645,s3478,s8869,s526,s1347,s4657,s6803,s3858,s8975,s3392,s310,s11558,s11969,s11968,s11967,s11730,s11963,s724,s4759,s646,s680,s5686,s5655,s4105]) ).
cnf(s11971,plain,
( ~ spl2_203
| ~ spl2_44
| ~ spl2_77
| spl2_363
| ~ spl2_29
| ~ spl2_644
| ~ spl2_156
| ~ spl2_20
| ~ spl2_47
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s427,s7998,s3219,s3325,s10553]) ).
cnf(s11972,plain,
( ~ spl2_132
| spl2_149
| ~ spl2_20
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8868,s5528,s6627,s11756,s330,s11971,s4715,s307,s9505,s8458,s8975,s5350,s1347,s10751,s8646,s11694,s5512,s8870,s4932,s3056,s3759,s11879,s11869,s851,s8947,s4295,s10964,s10268,s7596,s9715,s3893,s91,s3392,s4321,s4354,s11905,s11589,s11970,s11730,s724,s4759,s680,s5686,s5655,s4105]) ).
cnf(s11973,plain,
( spl2_149
| ~ spl2_20
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11744,s10291,s11972,s245]) ).
cnf(s11974,plain,
( spl2_191
| ~ spl2_324
| spl2_363
| spl2_84
| spl2_202
| ~ spl2_149
| ~ spl2_98
| ~ spl2_47
| ~ spl2_250
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8646,s4772,s10964,s9329,s4321,s656,s8870,s3619,s3760,s9064,s11730]) ).
cnf(s11975,plain,
( ~ spl2_20
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s526,s3116,s3698,s3317,s11920,s11974,s10714,s10511,s5512,s11929,s5603,s1207,s4803,s4783,s4007,s680,s888,s7597,s10296,s3837,s4320,s997,s5162,s11738,s9338,s2025,s9374,s11973,s5655,s4105,s11730,s724]) ).
cnf(s11976,plain,
( ~ spl2_202
| ~ spl2_84
| ~ spl2_78
| ~ spl2_117
| spl2_44
| ~ spl2_132
| ~ spl2_308
| ~ spl2_240
| ~ spl2_145
| ~ spl2_47
| spl2_139
| ~ spl2_26
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s6919,s7179,s4716,s5588,s9257,s9497,s8869,s9505,s4802,s8870,s5195,s10268,s3760,s445,s1690,s6940,s4336,s10830,s10735,s1502,s1500,s10714,s7277,s11374,s379,s724]) ).
cnf(s11977,plain,
( spl2_191
| spl2_207
| spl2_229
| ~ spl2_141
| ~ spl2_84
| ~ spl2_132
| spl2_238
| spl2_139
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s10511,s10735,s1192,s7814,s7855,s9033,s7579,s7815,s8869,s5195,s445,s724]) ).
cnf(s11978,plain,
( ~ spl2_132
| spl2_238
| ~ spl2_15
| ~ spl2_308
| ~ spl2_156
| ~ spl2_240
| ~ spl2_145
| ~ spl2_14
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s9496,s4128,s6940,s4336,s4715,s453,s11977,s1926,s1948,s1503,s1263,s11976,s2058,s7596,s6803,s851,s10715,s2096,s11694,s5027,s4170,s5995]) ).
cnf(s11979,plain,
( spl2_149
| ~ spl2_98
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11904,s10291,s11978,s6483,s4170,s5995,s456,s9075,s890,s3956,s245,s4759,s11730,s10697,s3915,s988,s8494,s11975,s4781,s5148,s724,s11963]) ).
cnf(s11980,plain,
( spl2_84
| spl2_202
| ~ spl2_19
| ~ spl2_145
| ~ spl2_14
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s1504,s10619,s3096,s4007,s3837,s4320]) ).
cnf(s11981,plain,
( ~ spl2_98
| ~ spl2_47
| ~ spl2_38
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s3927,s2822,s3009,s10486,s6565,s4929,s7605,s11980,s10332,s9338,s2025,s9374,s11979,s4803,s8212,s988,s3915,s10697,s11975]) ).
cnf(s11982,plain,
( ~ spl2_178
| ~ spl2_29
| ~ spl2_278
| ~ spl2_258
| ~ spl2_255
| ~ spl2_254
| ~ spl2_269
| spl2_257
| spl2_204
| ~ spl2_132
| ~ spl2_279
| ~ spl2_20
| spl2_98
| spl2_139
| ~ spl2_244
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s4151,s8868,s3989,s8535,s4648,s8871,s9059,s11855,s330,s11892,s1902,s10964,s3623,s9514,s1592,s5645,s8869,s6681,s10250,s10729,s2056,s888,s467,s9067,s1344,s11068,s7178,s364,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s9118,s444,s8536,s5184,s603,s307,s1964,s2157,s508]) ).
cnf(s11983,plain,
( ~ spl2_202
| ~ spl2_75
| ~ spl2_132
| spl2_149
| ~ spl2_20
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11368,s8302,s10963,s4002,s348,s4158,s8868,s8535,s8871,s9059,s11892,s1926,s10715,s11982,s5885,s10791,s271,s453,s1500,s1964,s2157,s508,s8536,s444,s526,s2527,s4657,s8975,s659,s4339,s3468,s3392,s10288,s4354,s11589,s349,s11963,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11981,s11730,s4105,s4759,s9168,s245]) ).
cnf(s11984,plain,
( spl2_180
| ~ spl2_178
| spl2_202
| ~ spl2_75
| ~ spl2_132
| spl2_149
| ~ spl2_20
| spl2_98
| ~ spl2_17
| spl2_139
| ~ spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11982,s10767,s1476,s1683,s1592,s5650,s8869,s526,s2527,s4657,s3858,s8975,s659,s4339,s3468,s3392,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s4759,s245,s10987,s996,s10986,s11068,s9067,s7178,s309,s9168]) ).
cnf(s11985,plain,
( ~ spl2_178
| spl2_202
| ~ spl2_75
| ~ spl2_132
| spl2_149
| ~ spl2_20
| spl2_98
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s526,s3116,s3698,s3317,s11984,s888,s11068,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730]) ).
cnf(s11986,plain,
( spl2_180
| spl2_202
| ~ spl2_75
| ~ spl2_132
| spl2_149
| ~ spl2_20
| spl2_98
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9221,s10962,s1122,s8037,s3325,s9373,s10763,s4158,s9039,s8868,s8535,s5326,s1683,s8871,s1237,s9059,s5885,s11892,s271,s1926,s1500,s8295,s1964,s1492,s3686,s2157,s1593,s5650,s603,s508,s8536,s3463,s8869,s526,s2527,s1905,s4657,s3858,s8975,s659,s4339,s3468,s3392,s656,s758,s8305,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s996,s4759,s267,s245,s10715,s11985]) ).
cnf(s11987,plain,
( ~ spl2_169
| ~ spl2_269
| ~ spl2_113
| ~ spl2_132 ),
inference(rat,[],[s9510,s5375]) ).
cnf(s11988,plain,
( spl2_204
| ~ spl2_355
| spl2_31
| ~ spl2_269
| spl2_15
| ~ spl2_176
| spl2_202
| ~ spl2_191
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5388,s10791,s5381,s6600,s8844,s8869,s6681,s3936,s10729,s1496]) ).
cnf(s11989,plain,
( ~ spl2_75
| ~ spl2_132
| spl2_149
| ~ spl2_20
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8844,s8869,s5381,s9257,s5388,s4802,s10791,s10268,s1690,s11988,s8870,s2096,s118,s7549,s294,s10964,s11987,s5027,s888,s3116,s5588,s6940,s526,s6677,s453,s307,s3698,s3317,s11986,s10715,s11985,s11983,s11963,s10735,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s9118,s11981]) ).
cnf(s11990,plain,
( ~ spl2_132
| spl2_149
| ~ spl2_20
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8868,s8535,s4164,s8871,s8536,s11507,s9059,s5350,s1436,s11892,s6677,s307,s1902,s1964,s1492,s2157,s1593,s508,s10964,s3463,s5650,s8869,s526,s11987,s1905,s4657,s10751,s3858,s8975,s659,s4339,s3468,s3392,s3289,s11909,s11558,s2058,s91,s11989,s9118,s11963,s758,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11981,s11730,s4759,s267,s245]) ).
cnf(s11991,plain,
( spl2_180
| spl2_84
| spl2_132
| spl2_149
| ~ spl2_191
| spl2_186
| ~ spl2_4 ),
inference(rat,[],[s4437,s5463,s4400,s3623,s4803,s2527,s4657,s4060,s4339,s3392,s91,s4390,s4811,s9715]) ).
cnf(s11992,plain,
( ~ spl2_204
| ~ spl2_102
| ~ spl2_29
| ~ spl2_244 ),
inference(rat,[],[s1676,s1683]) ).
cnf(s11993,plain,
( ~ spl2_140
| ~ spl2_278
| ~ spl2_29
| ~ spl2_337
| ~ spl2_244 ),
inference(rat,[],[s1324,s5214]) ).
cnf(s11994,plain,
( spl2_92
| ~ spl2_269
| ~ spl2_179
| ~ spl2_176
| spl2_750
| spl2_258
| ~ spl2_169
| spl2_84
| spl2_132
| ~ spl2_290
| spl2_234
| ~ spl2_17
| ~ spl2_337
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5381,s8844,s8870,s9367,s4802,s10268,s11993,s8869,s3675,s10288,s11992,s5388,s9379,s8947,s5937,s1237,s8646,s5885,s5350,s6492,s10280,s10751]) ).
cnf(s11995,plain,
( spl2_84
| spl2_132
| spl2_149
| ~ spl2_20
| ~ spl2_191
| spl2_186
| spl2_234
| ~ spl2_110
| ~ spl2_47
| ~ spl2_17
| ~ spl2_337
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s2822,s926,s3000,s11994,s888,s9732,s3116,s5588,s13,s526,s6677,s453,s307,s5939,s3698,s3317,s11991,s4390,s4811,s9715,s996]) ).
cnf(s11996,plain,
( spl2_149
| ~ spl2_20
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5463,s4803,s11934,s4060,s11909,s11558,s11995,s11990,s8305,s11963,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11981,s11730]) ).
cnf(s11997,plain,
( spl2_254
| spl2_834
| ~ spl2_442
| ~ spl2_556
| spl2_180
| spl2_202
| spl2_206
| spl2_186
| ~ spl2_324
| spl2_98
| ~ spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8551,s11493,s2645,s5380,s4164,s8962,s8868,s8535,s5254,s2604,s11730,s656]) ).
cnf(s11998,plain,
( spl2_180
| ~ spl2_132
| ~ spl2_75
| spl2_308
| spl2_202
| spl2_206
| ~ spl2_20
| spl2_98
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s6677,s1964,s5588,s2157,s8535,s508,s8868,s4802,s4164,s10268,s11892,s11993,s1902,s9298,s9326,s10964,s8870,s3623,s1505,s9514,s1593,s5645,s5650,s11997,s10696,s11992,s8826,s1617,s8536,s8871,s4803,s4783,s8869,s2527,s3929,s4060,s657,s3858,s4339,s8305,s11963,s10714,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s996]) ).
cnf(s11999,plain,
( ~ spl2_180
| ~ spl2_309
| ~ spl2_20
| ~ spl2_191
| ~ spl2_47
| ~ spl2_17 ),
inference(rat,[],[s526,s3116,s3698,s3317]) ).
cnf(s12000,plain,
( spl2_254
| ~ spl2_255
| spl2_132
| spl2_180
| spl2_202
| spl2_206
| ~ spl2_191
| spl2_299
| spl2_186
| ~ spl2_324
| spl2_98
| ~ spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11493,s8551,s6474,s9632,s8537,s4809,s11997,s8545,s4803,s4060,s8871,s3929,s11730]) ).
cnf(s12001,plain,
( ~ spl2_20
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4811,s4390,s10698,s3623,s6477,s4437,s4400,s12000,s8826,s5463,s4803,s2527,s11998,s4060,s4339,s11999,s888,s91,s5162,s9338,s2058,s10429,s2025,s9374,s8365,s11996,s996,s11963,s10714,s677,s9158,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11981,s11730]) ).
cnf(s12002,plain,
( spl2_44
| ~ spl2_117
| ~ spl2_188
| ~ spl2_113
| ~ spl2_132
| ~ spl2_103
| ~ spl2_240
| ~ spl2_14
| ~ spl2_191
| spl2_299
| ~ spl2_209
| spl2_234
| ~ spl2_47
| ~ spl2_17
| spl2_192
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9257,s4802,s8869,s10268,s8844,s1463,s5381,s4243,s8870,s7549,s10964,s4518,s11987,s9499,s5588,s3619,s6940,s2522,s528,s4336,s4715]) ).
cnf(s12003,plain,
( spl2_149
| ~ spl2_132
| ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11909,s10341,s1496,s2822,s5078,s12002,s10715,s453,s11068,s456,s9075,s890,s3956,s4759,s758,s10735,s9158,s11899,s1751,s2113,s155,s5186,s421,s3702,s1207,s186,s583,s11730,s10697,s3915,s988,s8494,s4781,s5148,s724,s11963,s1362,s10329,s12001,s9118,s11981]) ).
cnf(s12004,plain,
( spl2_180
| spl2_84
| ~ spl2_240
| ~ spl2_145
| ~ spl2_191
| ~ spl2_4 ),
inference(rat,[],[s2435,s2573,s4715,s2527,s4336,s1500,s4339,s91,s1497]) ).
cnf(s12005,plain,
( ~ spl2_149
| ~ spl2_556
| ~ spl2_240
| ~ spl2_19
| ~ spl2_145
| ~ spl2_191
| spl2_98
| ~ spl2_47
| ~ spl2_17
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s3927,s2822,s4715,s1919,s528,s6677,s5588,s4978,s12004,s10341,s2058,s2025,s8365,s186]) ).
cnf(s12006,plain,
( spl2_84
| spl2_346
| ~ spl2_188
| ~ spl2_265
| spl2_132
| spl2_149
| ~ spl2_556
| ~ spl2_240
| ~ spl2_145
| ~ spl2_14
| ~ spl2_191
| spl2_234
| ~ spl2_17
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8870,s5369,s9497,s8647,s8646,s9499,s5509,s6940,s2522,s9379,s5939,s4715,s851,s10715,s4390,s2096,s11694,s4811,s12004,s1497,s9715,s10714]) ).
cnf(s12007,plain,
( ~ spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7276,s3619,s4809,s4336,s526,s4715,s5078,s1496,s11909,s12006,s4932,s453,s10308,s10769,s456,s9075,s12003,s3956,s4759,s12005,s4803,s8494,s8212,s988,s1941,s3915,s10697,s12001,s11899,s1751,s9158,s2113,s155,s3702,s5186,s1207,s583,s421,s186,s11981,s11730,s4781,s5148,s724,s11963]) ).
cnf(s12008,plain,
( spl2_84
| spl2_29
| ~ spl2_290
| ~ spl2_98
| spl2_202
| ~ spl2_17
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s5848,s7587,s10791,s9300,s9732,s1503,s10486,s11694,s1055,s10619,s4995,s11008,s4007,s1497,s3893,s4320,s10383,s13,s26,s1496,s271,s5885]) ).
cnf(s12009,plain,
( ~ spl2_20
| ~ spl2_98
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s572,s1906,s330,s154,s11378,s3476,s4783,s4007,s9114,s2519,s1617,s4995,s10498,s2822,s11694,s10486,s6565,s6803,s4605,s9300,s10250,s504,s12008,s1496,s10332,s271,s5885,s10383,s1029,s996,s11730,s604,s12007,s11963]) ).
cnf(s12010,plain,
( spl2_149
| ~ spl2_240
| spl2_20
| ~ spl2_98
| spl2_202
| spl2_47
| ~ spl2_17
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9499,s650,s2522,s4336,s4715,s453,s11977,s1926,s1948,s10715,s6483,s1503,s11694,s4170,s2822,s5027,s3851,s9075,s11873,s890,s4759,s11730,s1263,s10332,s504,s3169,s1496,s170,s4783,s422,s11980,s10697,s3915,s988]) ).
cnf(s12011,plain,
( spl2_180
| ~ spl2_590
| spl2_191
| spl2_637
| ~ spl2_132
| spl2_94
| ~ spl2_141
| ~ spl2_250
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s4772,s10714,s8646,s10511,s5512,s9114,s3056,s695,s10964,s7960,s7903,s656,s445,s5292]) ).
cnf(s12012,plain,
( ~ spl2_44
| spl2_161
| ~ spl2_204
| ~ spl2_70
| ~ spl2_244 ),
inference(rat,[],[s11008,s2822,s5078]) ).
cnf(s12013,plain,
( spl2_191
| spl2_229
| spl2_637
| ~ spl2_132
| spl2_94
| ~ spl2_141
| spl2_47
| spl2_139
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s650,s7815,s12011,s8869,s5195,s445,s724]) ).
cnf(s12014,plain,
( spl2_180
| ~ spl2_191
| spl2_44
| ~ spl2_240
| ~ spl2_145 ),
inference(rat,[],[s1502,s4336]) ).
cnf(s12015,plain,
( ~ spl2_98
| ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s6756,s10964,s4650,s11843,s650,s12014,s12013,s1948,s1503,s12012,s12010,s4605,s10250,s170,s504,s4803,s10332,s4783,s1496,s11980,s8494,s8212,s988,s422,s1941,s3915,s10697,s12009,s11730,s4781,s5148,s724,s1263,s604,s12007,s11963]) ).
cnf(s12018,plain,
( spl2_180
| ~ spl2_204
| spl2_29
| ~ spl2_290
| ~ spl2_191
| spl2_202
| ~ spl2_17
| spl2_192
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5643,s8547,s5848,s528,s9788,s10791,s1502,s43,s1503,s1055,s2435,s1617,s5392,s4783,s8869,s1500,s657,s3934,s10383,s13,s26,s271,s5885]) ).
cnf(s12019,plain,
( ~ spl2_20
| ~ spl2_191
| spl2_299
| spl2_202
| spl2_47
| ~ spl2_17
| spl2_192
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s2435,s5392,s4715,s8869,s528,s6677,s5292,s8547,s9499,s650,s12018,s1466,s275,s5885,s10383,s1029,s996,s1263]) ).
cnf(s12020,plain,
( ~ spl2_17
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1197,s45,s7284,s4759,s44,s10791,s9075,s13,s453,s4715,s2522,s9499,s650,s12014,s1503,s12012,s10332,s4783,s1496,s8494,s988,s422,s1941,s3915,s10697,s12019,s11899,s1751,s9158,s2113,s155,s3702,s5186,s1207,s583,s421,s186,s12015,s604,s12007,s11730,s758,s4781,s5148,s724,s11963]) ).
cnf(s12021,plain,
( spl2_84
| ~ spl2_255
| ~ spl2_254
| ~ spl2_156
| spl2_180
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s4437,s3623,s8947,s10964,s7596,s4321,s4400]) ).
cnf(s12022,plain,
( ~ spl2_202
| ~ spl2_98
| ~ spl2_20
| ~ spl2_47
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s379,s11917,s12021,s1347,s8545,s8975,s4759,s9374,s11589,s9338,s11918,s12020,s11730]) ).
cnf(s12023,plain,
( spl2_84
| spl2_180
| spl2_202
| ~ spl2_98
| spl2_150
| ~ spl2_191
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s680,s11920,s997]) ).
cnf(s12024,plain,
( spl2_180
| ~ spl2_98
| ~ spl2_20
| ~ spl2_47
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5642,s1347,s8545,s8016,s8975,s4096,s4759,s715,s4007,s2025,s229,s10511,s420,s11744,s11738,s11917,s12023,s4339,s724,s8305,s11963,s11918,s12020,s11730,s5655,s4105,s12022]) ).
cnf(s12025,plain,
( spl2_149
| spl2_110
| ~ spl2_176
| spl2_84
| spl2_202
| ~ spl2_98
| spl2_204
| ~ spl2_191
| ~ spl2_337
| ~ spl2_250
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8870,s7971,s9367,s9499,s4772,s2527,s8646,s9323,s5512,s10714,s10964,s8947,s5910,s11416,s4304,s7596,s646,s4759,s91,s3837,s5603,s4007,s4320]) ).
cnf(s12026,plain,
( ~ spl2_98
| ~ spl2_20
| ~ spl2_47
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8451,s1715,s10964,s6690,s8646,s4699,s5512,s1347,s11921,s3116,s5588,s11008,s888,s4978,s5162,s2025,s12025,s5603,s1207,s4007,s307,s3893,s4320,s3317,s11558,s12024,s12022,s724,s8305,s11963,s11918,s11730,s3169,s22,s12020]) ).
cnf(s12027,plain,
( ~ spl2_206
| ~ spl2_202
| spl2_197
| ~ spl2_646
| ~ spl2_47
| ~ spl2_195 ),
inference(rat,[],[s7905,s10963,s4002,s348]) ).
cnf(s12028,plain,
( ~ spl2_202
| spl2_186
| spl2_212
| spl2_181
| spl2_211
| spl2_197
| ~ spl2_20
| ~ spl2_47
| ~ spl2_195
| ~ spl2_191
| spl2_139
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8535,s8537,s8868,s415,s4164,s12027,s8871,s715,s3798,s245,s646,s4759,s4339,s9374,s11589,s9338,s4105,s330]) ).
cnf(s12029,plain,
( spl2_149
| spl2_84
| ~ spl2_371
| spl2_180
| spl2_186
| spl2_181
| spl2_211
| ~ spl2_20
| ~ spl2_47
| spl2_204
| ~ spl2_191
| ~ spl2_337
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s10333,s9221,s8037,s1122,s9461,s3325,s10763,s4153,s4158,s1505,s8868,s1593,s5326,s8535,s5650,s8871,s8536,s4657,s715,s3798,s11991,s3392,s646,s4759,s330,s656,s4339,s10253,s4551]) ).
cnf(s12030,plain,
( spl2_254
| ~ spl2_113
| ~ spl2_132
| ~ spl2_309
| spl2_30
| spl2_84
| ~ spl2_70
| ~ spl2_247
| spl2_186
| ~ spl2_117
| ~ spl2_191
| ~ spl2_31
| ~ spl2_4 ),
inference(rat,[],[s1867,s6940,s10964,s1964,s11987,s9296,s3116,s5178,s8545]) ).
cnf(s12031,plain,
( ~ spl2_587
| ~ spl2_309
| spl2_180
| ~ spl2_203
| ~ spl2_20
| ~ spl2_47
| ~ spl2_191
| ~ spl2_4 ),
inference(rat,[],[s3325,s3989,s4166,s4151]) ).
cnf(s12032,plain,
( ~ spl2_132
| ~ spl2_588
| ~ spl2_309
| spl2_30
| ~ spl2_255
| spl2_84
| ~ spl2_70
| ~ spl2_371
| ~ spl2_247
| ~ spl2_203
| spl2_186
| spl2_178
| spl2_98
| ~ spl2_20
| ~ spl2_191
| ~ spl2_31
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8535,s8871,s5588,s9042,s8451,s3116,s307,s1964,s2157,s508,s6940,s1867,s10964,s3623,s9514,s5645,s12030,s8536,s9118,s10715]) ).
cnf(s12033,plain,
( spl2_84
| ~ spl2_371
| spl2_180
| spl2_186
| spl2_181
| spl2_211
| spl2_178
| spl2_92
| spl2_98
| ~ spl2_20
| ~ spl2_47
| spl2_204
| ~ spl2_191
| ~ spl2_31
| ~ spl2_337
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s7089,s8646,s4389,s10964,s4811,s8571,s12032,s8868,s12031,s10698,s1569,s888,s5162,s261,s2025,s12029,s10253,s330,s656,s4551,s9166,s1180]) ).
cnf(s12034,plain,
( spl2_180
| spl2_202
| spl2_186
| spl2_181
| spl2_211
| spl2_78
| spl2_178
| spl2_92
| spl2_98
| ~ spl2_20
| ~ spl2_47
| spl2_204
| ~ spl2_191
| ~ spl2_31
| ~ spl2_337
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8535,s8537,s715,s451,s8868,s8871,s646,s4645,s4164,s3920,s8365,s11507,s2058,s12033,s8869,s3934,s4339,s330]) ).
cnf(s12035,plain,
( ~ spl2_254
| ~ spl2_169
| ~ spl2_371
| spl2_177
| ~ spl2_324
| ~ spl2_244
| spl2_93 ),
inference(rat,[],[s9497,s8870,s5645,s1505,s9514,s1593,s3623,s5650]) ).
cnf(s12036,plain,
( ~ spl2_20
| ~ spl2_47
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5162,s229,s2341,s715,s4657,s9499,s12035,s11987,s9118,s10964,s9732,s8869,s294,s13,s3675,s6940,s453,s307,s3698,s3317,s12034,s12028,s677,s558,s364,s11750,s11747,s155,s6492,s10715,s4010,s3702,s10751,s5186,s10714,s2974,s1207,s118,s583,s421,s186,s12026,s724,s8305,s11963,s11918,s11730,s10288,s3169,s22,s12020]) ).
cnf(s12037,plain,
( ~ spl2_202
| ~ spl2_258
| spl2_180
| ~ spl2_98
| spl2_20
| ~ spl2_47
| spl2_17
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s912,s4055,s8173,s4166,s8868,s8535,s8871,s9059,s330,s11747,s5012,s8870,s1965,s8516,s8792,s8869,s6675,s8538,s6756,s4052,s10964,s7986,s307,s10735,s3696,s1964,s7277,s2058,s7156,s9296,s12021,s5306,s5184,s1347,s8545,s3468,s715,s8975,s680,s646,s4759,s4761,s5686,s9374,s9338,s7344,s22,s4339,s11918,s11730,s3816]) ).
cnf(s12038,plain,
( spl2_84
| ~ spl2_371
| spl2_202
| ~ spl2_187
| spl2_180
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s8646,s5874,s10964,s4007,s10253,s4321,s4320]) ).
cnf(s12039,plain,
( spl2_149
| ~ spl2_345
| ~ spl2_371
| ~ spl2_258
| spl2_180
| ~ spl2_98
| spl2_20
| spl2_17
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s912,s4055,s8173,s4166,s8868,s8535,s8871,s3798,s330,s11747,s8538,s5012,s4052,s8870,s10964,s7986,s307,s1965,s3696,s1964,s8516,s7156,s9296,s8792,s5306,s5184,s1347,s715,s8975,s646,s4759,s4761,s22,s4339,s11918,s11730,s3816]) ).
cnf(s12040,plain,
( spl2_255
| ~ spl2_593
| ~ spl2_589
| ~ spl2_94
| ~ spl2_98
| ~ spl2_191
| ~ spl2_337
| ~ spl2_244 ),
inference(rat,[],[s8016,s6717,s1192,s9362,s4772,s1347]) ).
cnf(s12041,plain,
( ~ spl2_269
| ~ spl2_144
| spl2_202
| spl2_180
| ~ spl2_98
| spl2_20
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9724,s4986,s9461,s4166,s4153,s8868,s8535,s8871,s4400,s9042,s8545,s4303,s4809,s10964,s568,s9134,s3696,s4579,s7156,s1344,s5306,s12040,s8538,s6929,s1617,s2738,s330,s3348,s11747,s207,s9732,s5012,s9329,s13,s8870,s5495,s453,s307,s1965,s1964,s8516,s9296,s8792,s5184,s8305,s22,s10697,s14,s656,s4336,s8494,s4781,s5148,s724,s11963,s4783,s657,s2059,s4438,s5463,s7605,s4803,s4060,s12038,s8869,s3934,s4551,s11918,s12020,s11730]) ).
cnf(s12042,plain,
( spl2_180
| ~ spl2_98
| ~ spl2_47
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s529,s8384,s10964,s6756,s5254,s6026,s12041,s4438,s5463,s201,s7605,s2025,s12039,s2058,s12038,s8869,s3934,s12037,s4803,s4336,s4060,s4551,s11918,s12020,s11730,s8494,s12036,s4781,s5148,s724,s11963]) ).
cnf(s12043,plain,
( ~ spl2_202
| ~ spl2_180
| ~ spl2_98
| spl2_20
| ~ spl2_47
| spl2_17
| spl2_139
| ~ spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8871,s3644,s8084,s7998,s1142,s2448,s4389,s330,s9271,s11747,s9165,s6492,s4048,s10751,s11694,s1968,s10394,s7901,s9362,s12040,s1347,s8646,s5375,s5512,s4390,s8947,s3158,s4295,s5910,s7596,s3096,s9715,s10836,s646,s4759,s8870,s8869,s3837,s9374,s4243,s4555,s11374,s9338,s8305,s11918,s11730,s10288,s3169,s22,s10697,s3619]) ).
cnf(s12044,plain,
( spl2_149
| spl2_84
| spl2_202
| ~ spl2_180
| ~ spl2_98
| spl2_20
| ~ spl2_47
| spl2_17
| ~ spl2_337
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8871,s3644,s8084,s7998,s1142,s2448,s4389,s330,s9271,s11747,s9165,s6492,s4048,s10751,s11694,s5375,s1968,s5512,s4390,s307,s11416,s5910,s4299,s12025,s10836,s646,s4759,s11918,s11730,s3169,s22,s3096,s3837,s10697,s1207,s5603,s4007,s4320,s724]) ).
cnf(s12045,plain,
( ~ spl2_169
| spl2_234
| spl2_363
| ~ spl2_132
| ~ spl2_144
| ~ spl2_178
| spl2_84
| ~ spl2_180
| ~ spl2_98
| ~ spl2_47
| spl2_17
| ~ spl2_337
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4652,s10599,s10256,s1142,s2448,s4389,s330,s11747,s6492,s10751,s11694,s1968,s307,s9367,s8870,s7971,s9323,s8947,s4903,s4772,s9518,s8646,s11730,s3169,s22,s5254,s4803,s7597,s9150,s4978,s10714]) ).
cnf(s12046,plain,
( spl2_206
| ~ spl2_203
| spl2_122
| spl2_363
| ~ spl2_112
| spl2_84
| spl2_212
| ~ spl2_4 ),
inference(rat,[],[s1508,s10428,s155,s2448,s5252,s10256,s4652]) ).
cnf(s12047,plain,
( ~ spl2_203
| spl2_122
| spl2_363
| ~ spl2_144
| ~ spl2_112
| spl2_84
| spl2_212
| ~ spl2_180
| ~ spl2_47
| ~ spl2_191
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s4151,s8868,s10599,s8167,s12046,s3619]) ).
cnf(s12048,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_178
| spl2_84
| spl2_212
| ~ spl2_18
| spl2_202
| ~ spl2_180
| ~ spl2_98
| ~ spl2_47
| spl2_17
| spl2_139
| ~ spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7395,s11493,s3841,s1442,s7917,s330,s12047,s10268,s8295,s7528,s9720,s4303,s10964,s12045,s5186,s10511,s11156,s309,s724,s8305,s22,s11918,s11730,s234,s236,s4007,s4320,s3377,s3837,s2025]) ).
cnf(s12049,plain,
( spl2_84
| ~ spl2_180
| ~ spl2_98
| spl2_20
| ~ spl2_47
| spl2_17
| spl2_139
| ~ spl2_244
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8646,s10964,s2641,s9496,s4300,s6993,s6026,s10208,s5463,s201,s12048,s4978,s2025,s12044,s1207,s4803,s3096,s4007,s7597,s3837,s4320,s8305,s11918,s11730,s8,s271,s362,s2739,s2838,s1496,s12043,s3169,s22,s10697,s5664,s3619]) ).
cnf(s12050,plain,
( ~ spl2_442
| ~ spl2_588
| ~ spl2_249
| ~ spl2_269 ),
inference(rat,[],[s8537,s8535]) ).
cnf(s12051,plain,
( ~ spl2_178
| ~ spl2_586
| ~ spl2_208
| spl2_122
| ~ spl2_132
| ~ spl2_168
| ~ spl2_191
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s10206,s10428,s155,s2448,s5252,s5512,s4300,s3158,s2974,s22]) ).
cnf(s12052,plain,
( spl2_206
| spl2_211
| ~ spl2_269
| spl2_593
| spl2_122
| ~ spl2_148
| ~ spl2_156
| ~ spl2_132
| ~ spl2_177
| ~ spl2_168
| spl2_212
| spl2_202
| ~ spl2_98
| ~ spl2_240
| spl2_204
| ~ spl2_191
| spl2_17
| spl2_192
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s307,s9367,s1964,s8870,s9296,s1965,s5184,s6940,s10715,s12051,s8871,s12050,s8516,s5323,s1142,s8868,s10963,s415,s4351,s7998,s4158,s324,s11730,s22,s330]) ).
cnf(s12053,plain,
( ~ spl2_206
| ~ spl2_84
| ~ spl2_180
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s9263,s6898,s8871,s879,s4055,s3644,s3326,s7276,s3619,s10238,s4128,s2058]) ).
cnf(s12054,plain,
( ~ spl2_140
| ~ spl2_278
| ~ spl2_31
| spl2_139 ),
inference(rat,[],[s7528,s5183,s8295]) ).
cnf(s12055,plain,
( ~ spl2_211
| ~ spl2_333
| spl2_206
| ~ spl2_141
| spl2_17
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s8301,s7395,s10963,s3841,s5758]) ).
cnf(s12056,plain,
( spl2_269
| ~ spl2_132
| spl2_130
| spl2_255
| ~ spl2_98 ),
inference(rat,[],[s9150,s9518]) ).
cnf(s12057,plain,
( spl2_234
| ~ spl2_269
| spl2_206
| ~ spl2_148
| ~ spl2_156
| ~ spl2_168
| spl2_255
| spl2_212
| spl2_202
| ~ spl2_98
| ~ spl2_240
| spl2_17
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12055,s10268,s12052,s12054,s4772,s9720,s5186,s10714,s758,s3169,s22,s1263,s9496,s4303,s6476,s1347,s11918,s11730]) ).
cnf(s12058,plain,
( ~ spl2_98
| ~ spl2_47
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2848,s8844,s6993,s8869,s4096,s6675,s8870,s4007,s10735,s9369,s10511,s10394,s420,s12057,s12056,s12053,s9764,s245,s4759,s2025,s7605,s6476,s4903,s9496,s1347,s4390,s10964,s4128,s7276,s2058,s12049,s362,s2739,s2838,s1496,s12043,s5664,s3619,s12042,s11918,s11730,s3169,s22,s12020,s10697,s8494,s12036,s4781,s5148,s724,s11963]) ).
cnf(s12059,plain,
( ~ spl2_202
| spl2_180
| ~ spl2_47
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9219,s879,s10962,s6362,s7464,s9461,s8173,s4166,s4153,s10964,s8868,s11987,s8535,s9118,s8538,s9732,s4052,s13,s7986,s453,s1964,s7606,s9296,s5326,s1199,s5184,s8871,s4657,s11866,s715,s3798,s3392,s245,s646,s4759,s4761,s9374,s9338,s2974,s677,s155,s5186,s3702,s1207,s186,s583,s11750,s330,s11747,s6492,s10751,s118,s22,s421,s12058,s656,s4339,s4336,s8494,s12036,s4781,s5148,s724,s11963,s11918,s12020,s11730]) ).
cnf(s12060,plain,
( spl2_149
| ~ spl2_265
| ~ spl2_371
| ~ spl2_258
| spl2_180
| ~ spl2_203
| spl2_181
| spl2_186
| spl2_301
| spl2_20
| ~ spl2_191
| ~ spl2_31
| ~ spl2_337
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9220,s879,s10962,s6362,s8037,s9461,s5528,s4153,s8868,s8535,s8538,s4052,s7986,s1965,s1964,s8516,s9296,s5326,s8792,s5184,s8871,s4657,s715,s3798,s3392,s646,s4759,s4761,s656,s4339]) ).
cnf(s12061,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_94
| spl2_98 ),
inference(rat,[],[s4794,s498,s9118]) ).
cnf(s12062,plain,
( spl2_180
| ~ spl2_47
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12000,s3622,s2080,s2435,s394,s4715,s4171,s453,s26,s5995,s13,s9732,s12061,s10253,s2058,s8365,s12060,s7606,s1199,s8,s8869,s271,s3934,s1496,s12059,s4336,s4551,s8305,s3169,s10697,s8494,s12036,s4781,s5148,s11963,s1515,s11918,s2974,s10714,s677,s155,s5186,s3702,s1207,s186,s583,s11750,s11730,s330,s11747,s6492,s10751,s118,s22,s421,s12058,s724,s12020]) ).
cnf(s12063,plain,
( ~ spl2_202
| ~ spl2_180
| ~ spl2_209
| spl2_178
| spl2_92
| spl2_234
| ~ spl2_14
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s5937,s8646,s5939,s10964,s9497,s7549,s1199,s6675,s8,s8870,s8869,s10280,s4243,s4555,s11374,s10714,s3619]) ).
cnf(s12064,plain,
( spl2_255
| spl2_169
| ~ spl2_75
| spl2_181
| ~ spl2_324
| spl2_301
| spl2_299
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8844,s5381,s4518,s8870,s8869,s5634,s9298,s9257,s9356,s4772,s10735,s10964]) ).
cnf(s12067,plain,
( ~ spl2_484
| ~ spl2_177
| ~ spl2_278
| ~ spl2_254
| ~ spl2_255
| ~ spl2_120
| ~ spl2_180
| spl2_193
| ~ spl2_324
| spl2_301
| spl2_299
| ~ spl2_337
| ~ spl2_244 ),
inference(rat,[],[s9858,s7262,s9832,s2346,s7478,s7852,s8497,s9175,s2914]) ).
cnf(s12068,plain,
( spl2_206
| ~ spl2_255
| ~ spl2_269
| ~ spl2_113
| ~ spl2_132
| ~ spl2_120
| spl2_149
| ~ spl2_265
| ~ spl2_94
| spl2_202
| ~ spl2_180
| spl2_181
| spl2_211
| spl2_193
| spl2_186
| spl2_212
| spl2_301
| spl2_299
| spl2_234
| ~ spl2_191
| ~ spl2_337
| spl2_192
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s6517,s7254,s7702,s7748,s7700,s2504,s12067,s7549,s8870,s7971,s6613,s3925,s10962,s8871,s11465,s12050,s6029,s427,s4803,s8868,s10963,s415,s7998,s4044,s4158,s324,s10714,s330,s4759,s245,s9764,s10964,s11987]) ).
cnf(s12069,plain,
( ~ spl2_269
| ~ spl2_113
| ~ spl2_132
| ~ spl2_120
| ~ spl2_75
| spl2_149
| ~ spl2_265
| ~ spl2_94
| spl2_202
| ~ spl2_180
| spl2_181
| spl2_211
| spl2_193
| spl2_186
| spl2_212
| spl2_301
| spl2_299
| spl2_234
| ~ spl2_47
| ~ spl2_191
| spl2_139
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8869,s8081,s8844,s10963,s8870,s4937,s9369,s8935,s10614,s10962,s9219,s9032,s879,s10524,s8173,s8952,s9042,s8868,s8871,s8167,s3644,s12068,s12064,s10964,s11987,s758,s8305,s10714,s330,s3619,s9764]) ).
cnf(s12070,plain,
( spl2_206
| ~ spl2_255
| ~ spl2_168
| ~ spl2_254
| ~ spl2_113
| ~ spl2_132
| ~ spl2_120
| spl2_149
| ~ spl2_265
| ~ spl2_94
| spl2_202
| ~ spl2_180
| spl2_211
| spl2_193
| spl2_212
| spl2_301
| spl2_299
| spl2_234
| ~ spl2_191
| ~ spl2_337
| spl2_192
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s6517,s7254,s7702,s7748,s7700,s2504,s12067,s7549,s6613,s8870,s10962,s7971,s11465,s6029,s427,s4803,s8868,s10963,s415,s7998,s4044,s4158,s324,s10714,s330,s4759,s245,s9764]) ).
cnf(s12071,plain,
( ~ spl2_206
| spl2_269
| ~ spl2_180
| ~ spl2_203
| ~ spl2_47
| ~ spl2_191
| spl2_93 ),
inference(rat,[],[s4151,s8084,s8868,s8871,s8167,s3644,s3619]) ).
cnf(s12072,plain,
( ~ spl2_132
| ~ spl2_120
| ~ spl2_75
| spl2_149
| ~ spl2_94
| spl2_202
| ~ spl2_180
| spl2_181
| spl2_211
| spl2_193
| spl2_186
| spl2_212
| spl2_301
| spl2_234
| spl2_98
| ~ spl2_47
| ~ spl2_191
| spl2_139
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s12070,s12064,s10964,s8647,s6029,s427,s8868,s415,s7998,s4158,s12071,s9499,s715,s12069,s9118,s758,s8305,s1515,s10714,s330,s7606,s4759,s646,s245]) ).
cnf(s12073,plain,
( spl2_84
| spl2_149
| ~ spl2_94
| spl2_202
| ~ spl2_180
| spl2_181
| spl2_211
| spl2_193
| spl2_186
| spl2_212
| ~ spl2_79
| spl2_118
| spl2_178
| spl2_301
| spl2_234
| spl2_98
| ~ spl2_47
| ~ spl2_191
| spl2_139
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s3416,s2078,s2448,s394,s5937,s1919,s4171,s5939,s453,s26,s5995,s4389,s4390,s13,s4811,s9732,s12072,s230,s9715,s91,s330]) ).
cnf(s12074,plain,
( spl2_149
| ~ spl2_94
| spl2_202
| ~ spl2_180
| spl2_181
| spl2_211
| spl2_193
| spl2_186
| spl2_212
| ~ spl2_79
| spl2_118
| spl2_178
| spl2_301
| spl2_234
| spl2_98
| ~ spl2_47
| ~ spl2_191
| spl2_139
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5388,s5178,s5381,s6613,s7971,s8844,s10962,s8870,s8869,s11465,s6029,s9298,s9257,s427,s8868,s10963,s9166,s4772,s415,s7998,s4158,s324,s1176,s10964,s4128,s12053,s7276,s2058,s12073,s9764,s245,s4759,s758,s8305,s10714,s10735,s330,s3619]) ).
cnf(s12075,plain,
( ~ spl2_47
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s3927,s2078,s1919,s11786,s4171,s4803,s453,s26,s5995,s4351,s4044,s13,s12071,s9732,s4978,s12061,s2025,s12074,s1199,s8,s271,s1496,s12063,s12062,s330,s11750,s11747,s558,s677,s364,s78,s6492,s155,s3096,s4010,s10735,s3702,s10751,s5186,s2974,s1207,s118,s583,s421,s186,s12058,s8494,s10697,s12036,s4781,s5148,s724,s11963,s11918,s11730,s3169,s22,s12020]) ).
cnf(s12076,plain,
( ~ spl2_132
| ~ spl2_258
| ~ spl2_180
| spl2_181
| spl2_211
| spl2_193
| ~ spl2_265
| ~ spl2_94
| spl2_301
| spl2_234
| spl2_98
| spl2_47
| ~ spl2_191
| ~ spl2_31
| ~ spl2_337
| spl2_192
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8871,s12050,s9263,s8868,s879,s4155,s10524,s8870,s10962,s5380,s4909,s1965,s11497,s2519,s8516,s12068,s8792,s11987,s715,s9168,s646,s12061,s9118,s1515,s680,s371,s998,s904,s230,s3476,s4007,s2604,s2527,s9499,s8869,s7815,s650,s749,s91,s504,s1263,s604]) ).
cnf(s12077,plain,
( ~ spl2_180
| spl2_181
| spl2_211
| spl2_193
| ~ spl2_265
| ~ spl2_94
| spl2_301
| spl2_234
| spl2_98
| ~ spl2_18
| spl2_47
| ~ spl2_191
| ~ spl2_31
| ~ spl2_337
| spl2_192
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5937,s8646,s5939,s4809,s12076,s2527,s573,s9499,s8545,s650,s1515,s91,s504]) ).
cnf(s12078,plain,
( ~ spl2_587
| spl2_180
| spl2_211
| spl2_47
| ~ spl2_4 ),
inference(rat,[],[s9373,s2519,s9039,s4166,s330,s656]) ).
cnf(s12079,plain,
( ~ spl2_132
| ~ spl2_588
| ~ spl2_255
| ~ spl2_189
| spl2_180
| ~ spl2_203
| spl2_181
| ~ spl2_94
| spl2_98
| spl2_93 ),
inference(rat,[],[s8535,s8871,s715,s3798,s646,s4759,s8536,s12061]) ).
cnf(s12080,plain,
( spl2_98
| spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4715,s2522,s3748,s10697,s5755,s1029,s4171,s453,s26,s5995,s13,s9732,s12079,s8868,s12078,s2527,s4339,s12077,s330,s11750,s11747,s558,s91,s6492,s155,s504,s3702,s10751,s5186,s1445,s233,s2974,s1207,s118,s583,s421,s186,s724,s758,s8305,s11918,s11730,s234,s11912,s11499,s271,s1496,s604,s11963,s3169,s22,s12020,s12075]) ).
cnf(s12081,plain,
( spl2_549
| ~ spl2_98
| ~ spl2_99
| spl2_47
| ~ spl2_4 ),
inference(rat,[],[s10817,s233,s504,s4320]) ).
cnf(s12082,plain,
( ~ spl2_94
| spl2_363
| spl2_234
| ~ spl2_371
| spl2_254
| spl2_110
| ~ spl2_98
| ~ spl2_18
| spl2_47
| ~ spl2_191
| spl2_17
| spl2_139
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s32,s8547,s11786,s9372,s888,s12054,s8870,s3116,s307,s9720,s4759,s1965,s1964,s4303,s4304,s8516,s9296,s10964,s8792,s244,s8646,s5178,s4783,s2527,s680,s3893,s10296,s91,s998,s504,s22,s904,s893,s8545,s9499,s573]) ).
cnf(s12083,plain,
( spl2_363
| spl2_234
| ~ spl2_4
| ~ spl2_371
| spl2_254
| spl2_110
| ~ spl2_98
| ~ spl2_18
| spl2_47
| ~ spl2_191
| spl2_17
| spl2_139
| spl2_93 ),
inference(rat,[],[s8646,s10964,s9496,s4300,s4650,s10679,s10250,s12082]) ).
cnf(s12084,plain,
( ~ spl2_363
| ~ spl2_371
| spl2_182
| spl2_391
| ~ spl2_301
| ~ spl2_191 ),
inference(rat,[],[s10335,s6476,s5874,s5512]) ).
cnf(s12085,plain,
( spl2_254
| spl2_110
| ~ spl2_301
| ~ spl2_98
| ~ spl2_18
| ~ spl2_141
| spl2_47
| ~ spl2_191
| spl2_17
| spl2_139
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s12083,s1845,s12084,s8869,s5292,s9499,s8545,s5603,s724]) ).
cnf(s12086,plain,
( spl2_139
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9329,s4772,s8870,s8646,s1505,s10714,s10964,s1593,s5512,s10511,s10820,s5650,s170,s504,s8869,s4783,s12023,s3934,s657,s656,s650,s12085,s5603,s1207,s4007,s12081,s12080,s11499,s271,s1496,s11912,s1263,s604,s904,s12075,s3169,s11918,s22,s12020,s724,s11730,s11963]) ).
cnf(s12087,plain,
( spl2_202
| ~ spl2_209
| spl2_356
| spl2_234
| ~ spl2_180
| ~ spl2_191
| ~ spl2_31
| ~ spl2_47
| spl2_98
| ~ spl2_139
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8844,s8869,s1476,s5383,s9257,s641,s9086,s6115,s4772,s646,s4759,s11005,s4128,s8365,s7276,s11558,s2058,s91,s749,s4207,s4211,s3619,s10714]) ).
cnf(s12088,plain,
( ~ spl2_209
| spl2_356
| spl2_234
| ~ spl2_180
| ~ spl2_191
| spl2_92
| spl2_178
| ~ spl2_31
| ~ spl2_47
| spl2_98
| ~ spl2_139
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s10384,s12063,s11589,s12087]) ).
cnf(s12089,plain,
( spl2_202
| spl2_212
| spl2_192
| spl2_234
| ~ spl2_180
| ~ spl2_31
| ~ spl2_47
| spl2_98
| ~ spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s324,s572,s10963,s8551,s4937,s10502,s5383,s641,s10962,s6115,s646,s4664,s11005,s8365,s12053,s11558,s2058,s91,s749,s4207,s4211,s11730,s186,s10714]) ).
cnf(s12090,plain,
( spl2_234
| ~ spl2_180
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7587,s4809,s7824,s8646,s5937,s7606,s4772,s1199,s5861,s8,s8870,s1588,s10280,s10697,s5938,s4243,s4555,s11374,s11589,s12089,s10735,s12088,s1751,s2113,s364,s622,s155,s5186,s10714,s11730,s11963,s583,s2756,s12086,s2016,s11942,s10751,s118,s22,s2974,s186,s3619]) ).
cnf(s12091,plain,
( ~ spl2_94
| ~ spl2_132
| spl2_84
| spl2_301
| spl2_202
| ~ spl2_180
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10456,s10962,s10963,s10256,s7710,s325,s4652,s12071,s330,s9271,s11957,s9165,s153,s4052,s4010,s7938,s1904,s8410,s11005,s3746,s307,s9107,s10964,s8647,s9499,s5292,s6675,s8869,s5374,s5369,s8844,s1476,s641,s9086,s9764,s646,s4759,s4761,s2848,s12061,s7606,s6993,s11730,s11963,s10715,s11942,s10751,s118,s22,s2974,s186,s1751,s2102,s12090,s583,s1263,s4211,s4207,s12086,s10735,s371,s997,s5664,s3619]) ).
cnf(s12092,plain,
( ~ spl2_132
| spl2_84
| spl2_301
| spl2_202
| ~ spl2_180
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10456,s10256,s10963,s10962,s4652,s324,s4664,s12071,s330,s11957,s11987,s153,s10964,s4010,s294,s11992,s6940,s307,s1237,s3698,s3317,s996,s10697,s10383,s8,s12,s1199,s12091,s9118,s11730,s11963,s10715,s11942,s10751,s2974,s186,s12090,s10280,s118,s22,s764,s4207,s12086,s371,s997,s5664,s3619]) ).
cnf(s12093,plain,
( spl2_84
| spl2_301
| spl2_202
| ~ spl2_180
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11786,s26,s10698,s9715,s13,s4811,s9732,s12092,s2974,s186,s118,s22,s4388,s12086]) ).
cnf(s12094,plain,
( spl2_301
| spl2_202
| ~ spl2_180
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4010,s153,s1904,s11957,s9499,s324,s5292,s10963,s8869,s4937,s8844,s5383,s641,s764,s10962,s8410,s367,s646,s5686,s1476,s4664,s11005,s8365,s11797,s12053,s11558,s2058,s12093,s11730,s11963,s10715,s11942,s10751,s118,s22,s2974,s5664,s3619,s5458,s186,s1751,s2102,s12090,s583,s1263,s4211,s4207,s4783,s720,s12086]) ).
cnf(s12095,plain,
( spl2_202
| ~ spl2_180
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s3317,s307,s10697,s8451,s8,s5588,s10280,s4978,s7605,s10964,s229,s11125,s641,s4939,s1199,s5463,s7629,s10519,s3684,s12094,s4803,s4207,s5819,s11730,s12086,s11942,s10751,s118,s22,s2974,s186,s2614,s11963,s1751,s2102,s12090,s583]) ).
cnf(s12096,plain,
( ~ spl2_180
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8,s1199,s10280,s10697,s9354,s11374,s11589,s8513,s12095,s2614,s12090,s11730,s11963,s2974,s186,s118,s22]) ).
cnf(s12097,plain,
( spl2_202
| spl2_356
| spl2_186
| spl2_234
| spl2_180
| ~ spl2_191
| ~ spl2_47
| spl2_98
| ~ spl2_139
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s4657,s3392,s4518,s8365,s5381,s2058,s2336,s8870,s91,s8869,s5865,s749,s1441,s3934,s4207,s4211,s656]) ).
cnf(s12098,plain,
( ~ spl2_94
| ~ spl2_132
| spl2_84
| spl2_234
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10333,s1813,s7464,s5528,s4166,s8868,s12079,s330,s11957,s153,s3478,s3741,s1964,s7156,s9296,s5306,s5184,s6940,s1505,s9230,s1593,s10964,s5650,s1588,s11869,s4657,s715,s8975,s3392,s646,s4759,s12061,s10715,s656,s4339,s12097,s1751,s2113,s677,s155,s5186,s2016,s583,s12086,s11963,s11730,s91,s444,s10253,s4551,s12096,s11942,s10751,s118,s22,s2974,s186]) ).
cnf(s12099,plain,
( ~ spl2_132
| spl2_84
| spl2_301
| spl2_234
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8868,s8535,s715,s4164,s8871,s229,s11957,s3920,s5091,s153,s12027,s10791,s4010,s452,s10288,s4354,s349,s4105,s10697,s8,s1199,s12098,s8536,s10715,s4339,s6492,s12097,s1751,s2113,s677,s155,s5186,s2016,s583,s12086,s11963,s11730,s10280,s444,s10253,s4551,s12096,s11942,s10751,s118,s22,s2974,s186]) ).
cnf(s12100,plain,
( spl2_84
| spl2_301
| spl2_234
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5091,s2025,s9379,s11991,s12099,s12097,s1751,s677,s12096,s11942,s10751,s118,s22,s11963,s11730,s1364,s2113,s155,s5186,s2016,s2974,s186,s583,s12086]) ).
cnf(s12101,plain,
( spl2_301
| spl2_234
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8868,s8535,s4164,s8871,s11372,s9059,s330,s11957,s153,s3478,s3741,s1964,s7156,s9296,s5306,s5184,s6940,s7549,s10964,s11987,s8536,s9118,s4772,s5131,s5861,s1476,s8870,s1505,s9658,s1593,s7910,s5650,s5643,s1588,s4657,s715,s8975,s3468,s3392,s646,s4759,s8365,s2058,s12100,s10715,s4339,s10714,s12097,s1751,s2113,s677,s155,s5186,s2016,s583,s12096,s11942,s10751,s118,s22,s2974,s186,s12086,s11963,s11730]) ).
cnf(s12102,plain,
( ~ spl2_132
| spl2_234
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10791,s452,s4354,s349,s4105,s10697,s8,s1199,s11048,s12098,s9118,s10280,s7277,s12101,s12097,s1751,s2113,s677,s155,s5186,s2016,s583,s12096,s11942,s10751,s2974,s186,s12086,s11963,s11730,s118,s22]) ).
cnf(s12103,plain,
( spl2_234
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9379,s1393,s5091,s8646,s2025,s5509,s11991,s12102,s10253,s7277,s5938,s12101,s12097,s1751,s2113,s1408,s677,s155,s5186,s11730,s11963,s12086,s583,s2016,s4551,s4803,s4060,s12096,s11942,s10751,s118,s22,s2974,s186]) ).
cnf(s12104,plain,
( spl2_202
| spl2_748
| ~ spl2_234
| spl2_180
| ~ spl2_191
| ~ spl2_47
| ~ spl2_139
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s7605,s1867,s229,s4650,s10964,s5463,s10250,s641,s4518,s4945,s6993,s5383,s5381,s2848,s8844,s8870,s8869,s5865,s3934,s4207,s656,s4803,s4060]) ).
cnf(s12105,plain,
( spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7768,s6717,s7527,s10791,s452,s4354,s349,s4105,s10697,s8,s5463,s1199,s10280,s9354,s379,s8513,s12104,s5458,s2614,s12103,s4803,s4060,s12096,s11942,s10751,s118,s2974,s22,s11730,s11963,s12086,s186]) ).
cnf(s12106,plain,
( spl2_202
| spl2_234
| ~ spl2_180
| ~ spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_139
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11947,s1503,s1496,s988,s3915,s8365,s11558,s2058,s91,s6186,s749,s11940,s4207]) ).
cnf(s12108,plain,
( spl2_197
| spl2_161
| ~ spl2_70
| ~ spl2_17
| ~ spl2_139
| ~ spl2_244 ),
inference(rat,[],[s12012,s6421,s10585]) ).
cnf(s12109,plain,
( ~ spl2_593
| ~ spl2_204
| ~ spl2_188
| ~ spl2_92
| ~ spl2_324 ),
inference(rat,[],[s1690,s10268,s4802,s4715,s2435,s2573,s4772]) ).
cnf(s12110,plain,
( spl2_234
| ~ spl2_180
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7855,s1926,s10715,s441,s1690,s10257,s5861,s3880,s12109,s452,s9075,s4759,s1919,s2025,s307,s5091,s5012,s6545,s12108,s118,s10341,s1362,s1497,s8870,s8869,s988,s10329,s1941,s3915,s4243,s4555,s11374,s11589,s12106,s10714,s11730,s11963,s12086,s186,s12105,s3619]) ).
cnf(s12111,plain,
( spl2_20
| ~ spl2_70
| spl2_84
| ~ spl2_230
| spl2_202
| ~ spl2_17
| ~ spl2_110
| ~ spl2_244
| ~ spl2_4 ),
inference(rat,[],[s12012,s1503,s10341,s1496,s11005,s988,s3915]) ).
cnf(s12112,plain,
( ~ spl2_191
| ~ spl2_20
| spl2_202
| ~ spl2_180
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5350,s444,s10751,s7909,s118,s5636,s10729,s10288,s1904,s9499,s6681,s5292,s8869,s8410,s8844,s1476,s6186,s9086,s5383,s4759,s641,s2025,s229,s5162,s888,s6677,s11999,s11730,s11963,s12105,s5458,s186,s1751,s2102,s12110,s583,s1263,s4207,s12086,s3698,s307,s3317]) ).
cnf(s12113,plain,
( spl2_84
| spl2_202
| ~ spl2_180
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7396,s8793,s8868,s4002,s3325,s8167,s325,s10963,s4937,s5383,s10962,s641,s7710,s9764,s646,s11949,s9064,s12112,s2538,s307,s3698,s3317,s4105,s12111,s9166,s1177,s371,s764,s997,s11730,s11963,s12105,s5664,s3619,s421,s5458,s12110,s186,s4211,s4207,s12086]) ).
cnf(s12114,plain,
( spl2_202
| ~ spl2_180
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11947,s1503,s1496,s11005,s988,s3915,s8365,s11558,s2058,s12113,s4207,s4211,s12086,s12105]) ).
cnf(s12115,plain,
( ~ spl2_180
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7768,s6717,s7527,s6545,s12108,s10341,s10769,s988,s1941,s9354,s11374,s11589,s8513,s12114,s2614,s12110,s11730,s11963,s12086,s186,s12105]) ).
cnf(s12116,plain,
( spl2_84
| spl2_202
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8869,s6675,s2336,s10735,s2848,s10519,s680,s6993,s5655,s9230,s7960,s4105,s10964,s2527,s12111,s695,s441,s9166,s1751,s12104,s1177,s2102,s5458,s421,s749,s764,s91,s997,s11730,s11963,s186,s583,s12105,s656,s12115,s4207,s1441,s4211,s12086]) ).
cnf(s12117,plain,
( ~ spl2_191
| ~ spl2_278
| spl2_629
| ~ spl2_7
| ~ spl2_355
| spl2_180
| ~ spl2_139
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5381,s5388,s8844,s715,s8869,s4339,s7902]) ).
cnf(s12118,plain,
( ~ spl2_455
| ~ spl2_173
| ~ spl2_203
| ~ spl2_355
| spl2_180
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8868,s4166,s6195,s8935]) ).
cnf(s12119,plain,
( spl2_202
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11947,s1503,s1496,s988,s3915,s3325,s6580,s5329,s12050,s8871,s8868,s9263,s9032,s879,s3326,s7998,s7956,s8081,s2131,s8869,s10963,s8844,s4937,s12118,s10962,s10964,s7710,s695,s11949,s12117,s6186,s641,s9086,s9764,s10213,s646,s4759,s8365,s2058,s12116,s8870,s5865,s4207,s11730,s11963,s12086,s186,s12105,s656,s12115]) ).
cnf(s12120,plain,
( spl2_20
| ~ spl2_189
| spl2_84
| spl2_180
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s2435,s2573,s1502,s1497,s1500,s2522,s3915,s10697,s2527,s91]) ).
cnf(s12121,plain,
( ~ spl2_191
| spl2_84
| ~ spl2_202
| spl2_180
| ~ spl2_17
| ~ spl2_47
| ~ spl2_139
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s1964,s307,s5012,s2157,s8870,s524,s526,s4657,s12117,s8975,s3392,s10213,s4759,s2025,s229,s10791,s5162,s6421,s452,s4354,s11709,s349,s4105,s12120,s4783,s657,s4339,s680,s997,s7344]) ).
cnf(s12122,plain,
( spl2_20
| ~ spl2_177
| spl2_84
| ~ spl2_202
| spl2_180
| ~ spl2_17
| ~ spl2_47
| ~ spl2_110
| ~ spl2_139
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s463,s6940,s10257,s1502,s2822,s889,s229,s5091,s6545,s12108,s10341,s1362,s988,s10329,s1941,s3915]) ).
cnf(s12123,plain,
( spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9505,s5588,s4715,s5849,s2822,s6029,s590,s427,s307,s7998,s5012,s4759,s451,s8868,s8870,s2025,s229,s1055,s4645,s4166,s8700,s5091,s10813,s11368,s10791,s6186,s10268,s6421,s452,s4354,s349,s4105,s996,s12122,s9230,s10964,s695,s11949,s12121,s11730,s11963,s12086,s186,s12105,s656,s12115,s12119]) ).
cnf(s12124,plain,
( ~ spl2_47
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1464,s4351,s11372,s11949,s12014,s5078,s452,s1362,s1791,s456,s9075,s371,s8494,s10329,s3915,s155,s3956,s4759,s5686,s4781,s3702,s11939,s5186,s8365,s161,s7277,s379,s2058,s12123,s7344,s12119,s12115,s12105,s11730,s11963,s12086,s583]) ).
cnf(s12125,plain,
( spl2_84
| ~ spl2_189
| ~ spl2_191
| spl2_92
| spl2_178
| spl2_299
| ~ spl2_31
| ~ spl2_269
| spl2_182
| spl2_254
| ~ spl2_229
| spl2_47
| spl2_98
| ~ spl2_139
| ~ spl2_244
| spl2_93 ),
inference(rat,[],[s9764,s12061,s5867,s4809,s8870,s3696,s8844,s7156,s2848,s5306,s6993,s573,s1199,s11499,s2527,s749,s10280,s91,s8869,s5292,s1263,s604]) ).
cnf(s12126,plain,
( spl2_17
| spl2_254
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11129,s10791,s1617,s26,s1029,s11005,s1503,s2435,s307,s5392,s294,s1496,s10964,s271,s11987,s11499,s4650,s9118,s1199,s10250,s11791,s504,s12125,s8869,s5292,s9499,s11942,s10751,s118,s2974,s2756,s22,s11730,s186,s1263,s4211,s4207,s4783,s720,s8545,s5254,s4803,s5819,s604,s12124,s11963,s12086]) ).
cnf(s12127,plain,
( spl2_84
| spl2_254
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1108,s45,s6717,s44,s6545,s2822,s12108,s1055,s10341,s10280,s13,s1617,s5885,s26,s1029,s996,s12111,s9166,s1177,s749,s764,s10240,s91,s997,s186,s4207,s4783,s720,s1441,s4211,s604,s12124,s12086,s1374,s11963,s12126]) ).
cnf(s12128,plain,
( ~ spl2_191
| spl2_299
| spl2_192
| ~ spl2_168
| spl2_177
| ~ spl2_17
| spl2_254
| ~ spl2_230
| spl2_47
| ~ spl2_110
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s294,s307,s3000,s1964,s12012,s6539,s1503,s1496,s2522,s8869,s11005,s1941,s3915,s10697,s5292,s12019,s9499,s1263,s604]) ).
cnf(s12129,plain,
( ~ spl2_161
| spl2_191
| ~ spl2_168
| spl2_177
| ~ spl2_110 ),
inference(rat,[],[s307,s294,s590,s3000]) ).
cnf(s12130,plain,
( spl2_20
| spl2_161
| ~ spl2_17
| ~ spl2_230
| spl2_202
| ~ spl2_244
| ~ spl2_4 ),
inference(rat,[],[s12012,s1503,s1496,s11005,s1941,s3915]) ).
cnf(s12131,plain,
( spl2_254
| spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8869,s7814,s1685,s10735,s45,s11048,s1926,s3167,s44,s10400,s1503,s10715,s1466,s2822,s11068,s271,s275,s13,s1617,s5885,s26,s1029,s12130,s12129,s6541,s441,s12128,s9147,s763,s2889,s10964,s11987,s4650,s9118,s10250,s170,s504,s12127,s12126,s5254,s2604,s11730,s186,s583,s4211,s4783,s720,s4803,s5819,s604,s12124,s11963,s12086]) ).
cnf(s12132,plain,
( spl2_98
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s6675,s10735,s9230,s10519,s504,s6993,s7960,s1192,s10964,s4772,s695,s441,s5292,s3934,s8869,s8844,s11541,s5381,s8870,s5865,s656,s650,s4518,s12131,s4207,s1263,s604,s12124,s186,s11730,s11963,s12086]) ).
cnf(s12133,plain,
( spl2_84
| ~ spl2_191
| ~ spl2_31
| ~ spl2_180
| ~ spl2_229
| spl2_202
| ~ spl2_47
| ~ spl2_98
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s10335,s4945,s8451,s8870,s307,s5043,s3317,s5588,s4764,s10697,s4978,s3096,s229,s3158,s641,s10511,s5512,s4939,s10769,s1845,s10519,s7629,s2614,s4007,s3782,s749,s3893,s3837,s4320,s91]) ).
cnf(s12134,plain,
( ~ spl2_191
| ~ spl2_31
| ~ spl2_180
| spl2_202
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s6675,s8869,s10735,s8844,s10519,s1476,s859,s9086,s5383,s4939,s4759,s641,s2025,s229,s1751,s7605,s2111,s6476,s10962,s6115,s9496,s1347,s10964,s4664,s11005,s4128,s7276,s12053,s11558,s2058,s12133,s4211,s4207,s3619]) ).
cnf(s12135,plain,
( spl2_84
| ~ spl2_234
| ~ spl2_156
| spl2_202
| ~ spl2_98
| ~ spl2_244
| ~ spl2_4 ),
inference(rat,[],[s7629,s8947,s3782,s7596,s4320,s2614]) ).
cnf(s12136,plain,
( spl2_17
| ~ spl2_180
| spl2_202
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8410,s1904,s5528,s8961,s10288,s8868,s8871,s2792,s6627,s6618,s11770,s324,s325,s1314,s10963,s4937,s10502,s5383,s10962,s6115,s4664,s1041,s11005,s12053,s11558,s12135,s859,s641,s9086,s764,s367,s646,s4759,s5686,s9064,s445,s12134,s22,s11730,s11963,s12132,s1263,s4211,s4207,s4783,s720,s12086,s5664,s3619]) ).
cnf(s12137,plain,
( spl2_84
| ~ spl2_191
| ~ spl2_17
| ~ spl2_180
| spl2_202
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5262,s8870,s6677,s5043,s6421,s10585,s5588,s4764,s6545,s4978,s10511,s4939,s2025,s10769,s4759,s10519,s7629,s12135,s2614,s4007,s3782,s749,s3893,s4320,s91,s4207]) ).
cnf(s12138,plain,
( ~ spl2_84
| ~ spl2_17
| ~ spl2_180
| spl2_202
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s2457,s10962,s1503,s1498,s1496,s4664,s3915,s6186,s12053,s11558,s11937]) ).
cnf(s12139,plain,
( ~ spl2_180
| spl2_202
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s252,s12135,s9064,s749,s12137,s91,s12138,s12136,s3619,s11730,s11963,s12132,s4207,s12086]) ).
cnf(s12140,plain,
( ~ spl2_191
| ~ spl2_355
| spl2_180
| ~ spl2_230
| spl2_202
| ~ spl2_47
| ~ spl2_98
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5387,s2522,s11005,s10697,s11738,s2025,s4759,s8975,s8545,s4518,s5381,s12038,s8844,s8869,s3934,s4551,s4339]) ).
cnf(s12141,plain,
( spl2_84
| ~ spl2_355
| spl2_180
| ~ spl2_229
| spl2_202
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s4945,s10519,s10964,s4007,s749,s4321,s4320,s91]) ).
cnf(s12142,plain,
( spl2_234
| ~ spl2_590
| ~ spl2_593
| ~ spl2_254
| ~ spl2_84
| spl2_191
| ~ spl2_98
| ~ spl2_139 ),
inference(rat,[],[s7579,s5642,s9033,s5805,s4772,s859,s10714]) ).
cnf(s12143,plain,
( spl2_206
| spl2_212
| ~ spl2_195
| spl2_455
| spl2_17
| ~ spl2_181
| spl2_202
| ~ spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11770,s2792,s325,s10963,s4937,s10962,s4664,s11730]) ).
cnf(s12144,plain,
( spl2_169
| spl2_149
| spl2_20
| spl2_17
| spl2_202
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12050,s8871,s8868,s9263,s9719,s9034,s6898,s879,s4055,s3326,s12143,s360,s545,s4996,s3348,s11694,s207,s9732,s2793,s6137,s9107,s3897,s6675,s4388,s10735,s10519,s4438,s6993,s7960,s10964,s4783,s720,s2058,s307,s2522,s13,s452,s6387,s10238,s9033,s7579,s6717,s12142,s11541,s6545,s3675,s10288,s12141,s7956,s10213,s8869,s8844,s5381,s4518,s9165,s4052,s4761,s7938,s1904,s573,s8,s10697,s271,s1500,s3850,s22,s3816,s445,s12140,s12132,s1934,s11005,s4211,s11963,s8870,s5865,s656,s12139,s4207,s11730,s12086]) ).
cnf(s12145,plain,
( spl2_149
| spl2_20
| spl2_17
| spl2_202
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s424,s10309,s538,s529,s12144,s9166,s1177,s7956,s771,s10213,s6715,s3760,s12141,s5369,s6545,s3675,s8869,s8844,s5381,s4518,s10288,s1904,s573,s8,s10697,s271,s1500,s3850,s22,s3816,s445,s12140,s12132,s1934,s11005,s4211,s8870,s5865,s656,s12139,s4207,s12086,s11730,s11963]) ).
cnf(s12146,plain,
( spl2_20
| spl2_17
| spl2_202
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s529,s4438,s4768,s5463,s6541,s7605,s1686,s2025,s12145,s7284,s6545,s3675,s1588,s8869,s8844,s10288,s5381,s1904,s4518,s573,s1934,s8,s11005,s10697,s4803,s5819,s6715,s1751,s1366,s12141,s2756,s3816,s445,s271,s1500,s3850,s12140,s8870,s5865,s656,s4207,s4211,s12086,s12132,s11963,s11730,s22,s12139]) ).
cnf(s12147,plain,
( spl2_17
| spl2_202
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8869,s7956,s8844,s538,s2848,s10964,s859,s9107,s9086,s4939,s5369,s6940,s10213,s4759,s641,s424,s10715,s2025,s229,s3289,s11744,s310,s11738,s12146,s307,s3816,s3850,s22,s445,s12140,s4211,s11963,s2058,s12141,s8870,s5865,s656,s11730,s12139,s4207,s12086,s12132]) ).
cnf(s12148,plain,
( spl2_20
| ~ spl2_17
| spl2_191
| spl2_180
| ~ spl2_230
| spl2_202
| ~ spl2_244
| ~ spl2_4 ),
inference(rat,[],[s590,s1500,s12130,s3915]) ).
cnf(s12149,plain,
( spl2_202
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5952,s1690,s888,s10661,s3786,s641,s6803,s851,s229,s3289,s310,s11738,s12148,s6186,s859,s11937,s12147,s2058,s12141,s12140,s8870,s5865,s656,s12139,s4207,s4211,s11730,s11963,s12086,s12132]) ).
cnf(s12150,plain,
( spl2_234
| ~ spl2_593
| ~ spl2_191
| spl2_391
| spl2_110
| ~ spl2_590
| ~ spl2_118
| spl2_84
| ~ spl2_180
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139 ),
inference(rat,[],[s4390,s8646,s4299,s5512,s4759,s5910,s2025,s229,s4978,s5805,s4772,s859,s10714]) ).
cnf(s12151,plain,
( ~ spl2_191
| spl2_391
| spl2_110
| ~ spl2_589
| ~ spl2_590
| spl2_84
| ~ spl2_180
| ~ spl2_202
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_244
| ~ spl2_4 ),
inference(rat,[],[s4764,s5043,s4978,s5091,s9366,s2025,s4759,s7596,s8947,s9354,s2614,s12150,s5861,s8513,s9338,s3837]) ).
cnf(s12152,plain,
( spl2_203
| ~ spl2_34
| ~ spl2_77
| ~ spl2_94
| ~ spl2_181
| spl2_17
| ~ spl2_26
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s5596,s7408,s469,s5329,s1444,s1442,s11770,s330]) ).
cnf(s12153,plain,
( spl2_17
| ~ spl2_180
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1813,s8551,s10962,s2448,s7464,s4389,s12046,s12152,s234,s236,s8,s10280,s10751,s11694,s4995,s5186,s10714,s10288,s11804,s3675,s5512,s1364,s8947,s5012,s5910,s4299,s7596,s307,s646,s4759,s3816,s3850,s9064,s1366,s445,s12151,s3158,s2974,s22,s11963,s12086,s8869,s4555,s8870,s4243,s3619,s371,s997,s7344,s3377,s3096,s3837,s11374,s12132,s10697,s11589,s12149,s11730]) ).
cnf(s12154,plain,
( spl2_234
| ~ spl2_593
| ~ spl2_191
| ~ spl2_44
| ~ spl2_92
| ~ spl2_17
| ~ spl2_590
| spl2_20
| ~ spl2_180
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139 ),
inference(rat,[],[s9075,s4759,s453,s2025,s2435,s4978,s2573,s5805,s4772,s859,s10714]) ).
cnf(s12155,plain,
( ~ spl2_191
| ~ spl2_346
| ~ spl2_44
| ~ spl2_92
| ~ spl2_17
| ~ spl2_589
| ~ spl2_590
| ~ spl2_70
| spl2_20
| ~ spl2_180
| ~ spl2_832
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_244 ),
inference(rat,[],[s5027,s10769,s10696,s9354,s2590,s2614,s12154,s5861,s5867]) ).
cnf(s12156,plain,
( ~ spl2_180
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5027,s5910,s890,s646,s9064,s12155,s11694,s1504,s1497,s988,s3915,s12153,s3096,s8870,s8869,s3893,s3837,s10697,s4243,s4555,s11374,s11589,s3619,s11730,s12086,s12132,s8513,s12149,s11963]) ).
cnf(s12157,plain,
( spl2_132
| spl2_226
| ~ spl2_363
| ~ spl2_556
| ~ spl2_202
| ~ spl2_139
| spl2_93 ),
inference(rat,[],[s5938,s5509,s5131]) ).
cnf(s12158,plain,
( spl2_234
| ~ spl2_363
| ~ spl2_556
| ~ spl2_118
| ~ spl2_31
| ~ spl2_202
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139
| spl2_93 ),
inference(rat,[],[s4105,s4354,s10697,s1926,s3096,s10715,s3158,s5512,s12157,s6074,s859]) ).
cnf(s12159,plain,
( ~ spl2_363
| spl2_84
| ~ spl2_31
| ~ spl2_202
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_244
| ~ spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s10791,s452,s4354,s349,s4105,s10697,s5091,s3096,s2025,s3158,s4759,s5512,s7596,s10769,s8947,s9354,s2614,s12158,s8513,s3837,s3893,s4803,s7597]) ).
cnf(s12160,plain,
( ~ spl2_156
| ~ spl2_204
| ~ spl2_14
| spl2_234
| spl2_84
| spl2_17
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1813,s8551,s10962,s2448,s7464,s4389,s12046,s12152,s10751,s11694,s4995,s1364,s8947,s4299,s7596,s371,s3377,s300,s680,s997,s7344,s445,s1366,s10714,s5186,s3096,s3837,s234,s236,s8,s271,s1500,s3850,s4551,s10253,s8646,s12159,s12149,s12086,s11963,s11730,s10964,s4321,s12132,s22,s12156]) ).
cnf(s12161,plain,
( ~ spl2_589
| ~ spl2_14
| spl2_234
| spl2_84
| spl2_17
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1686,s4896,s6541,s9501,s733,s5091,s2025,s4759,s12160,s9367,s1347,s307,s4772,s10714,s573,s8,s271,s1500,s3850,s3816,s445,s4551,s10253,s8646,s12159,s22,s12149,s12086,s11963,s11730,s10964,s4321,s12132,s12156]) ).
cnf(s12162,plain,
( ~ spl2_14
| spl2_234
| spl2_84
| spl2_17
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s844,s1904,s3675,s2438,s8869,s8947,s8844,s9523,s6545,s5381,s8700,s8870,s12161,s4518,s573,s8,s3096,s3837,s3816,s445,s271,s1500,s3850,s4551,s10253,s8646,s12159,s12149,s12086,s11963,s11730,s10964,s4321,s12132,s22,s12156]) ).
cnf(s12163,plain,
( spl2_234
| spl2_84
| spl2_17
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8700,s8870,s10791,s9367,s452,s4354,s349,s4105,s10697,s12162,s4772,s10714,s307,s3850,s4551,s10253,s8646,s12159,s12149,s12086,s11963,s11730,s10964,s4321,s12132,s12156,s22]) ).
cnf(s12164,plain,
( ~ spl2_254
| ~ spl2_289
| ~ spl2_149
| ~ spl2_269 ),
inference(rat,[],[s1686,s4896]) ).
cnf(s12165,plain,
( spl2_84
| spl2_17
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10791,s452,s4354,s349,s4105,s10697,s8,s573,s12164,s5091,s2025,s6541,s9715,s9518,s3897,s1364,s4388,s1845,s12163,s271,s1500,s3816,s3850,s1366,s445,s4551,s10253,s8646,s12159,s10964,s4321,s11730,s11963,s12132,s12149,s12156,s22,s2756,s12086]) ).
cnf(s12166,plain,
( ~ spl2_191
| spl2_184
| spl2_629
| ~ spl2_156
| spl2_356
| ~ spl2_7
| ~ spl2_207
| ~ spl2_278
| spl2_180
| ~ spl2_98
| ~ spl2_139
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s3623,s9514,s10964,s5645,s1902,s1588,s1347,s4657,s12117,s8975]) ).
cnf(s12167,plain,
( spl2_17
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5643,s7910,s573,s9330,s11866,s8869,s349,s6675,s9367,s9497,s9518,s4772,s8646,s5512,s3056,s10964,s1902,s8870,s307,s3816,s8700,s3850,s445,s12166,s3392,s680,s10213,s245,s4759,s5686,s1751,s2025,s229,s4781,s4903,s1376,s4791,s5091,s11449,s4388,s10735,s3702,s6074,s859,s10714,s11451,s7277,s379,s12165,s2756,s22,s11730,s11963,s12086,s12132,s7344,s12149,s12156]) ).
cnf(s12168,plain,
( spl2_20
| spl2_84
| ~ spl2_17
| spl2_180
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s11694,s11885,s1497,s3096,s3915,s10697,s3837]) ).
cnf(s12169,plain,
( spl2_234
| spl2_140
| ~ spl2_132
| spl2_204
| ~ spl2_17
| ~ spl2_98
| ~ spl2_139 ),
inference(rat,[],[s11193,s10667,s859,s6421]) ).
cnf(s12170,plain,
( spl2_84
| ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7768,s6717,s7527,s12169,s10791,s452,s4354,s11929,s349,s4105,s12168,s695,s10964,s4803,s4783,s12121,s4321,s7597,s10296,s3837,s11730,s11963,s12086,s12132,s12149,s12156,s12167]) ).
cnf(s12171,plain,
( ~ spl2_47
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11938,s859,s379,s12170,s12167,s12149,s11730,s12086,s12132]) ).
cnf(s12172,plain,
( ~ spl2_31
| spl2_278
| ~ spl2_132
| ~ spl2_149
| ~ spl2_363
| ~ spl2_301
| ~ spl2_118
| spl2_84
| spl2_202
| spl2_47
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s26,s10791,s1029,s1503,s10697,s10619,s271,s3096,s11499,s3158,s11156,s5512]) ).
cnf(s12173,plain,
( spl2_84
| spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_244
| ~ spl2_26
| ~ spl2_4 ),
inference(rat,[],[s5885,s5078,s10619,s6421,s10585,s22,s12172,s6545,s4939,s10769,s4759,s1845,s10519,s7629,s12135,s2614,s4007,s3782,s749,s3893,s3837,s4320,s91,s4207,s604]) ).
cnf(s12174,plain,
( ~ spl2_180
| ~ spl2_191
| ~ spl2_149
| ~ spl2_119
| ~ spl2_132
| ~ spl2_556
| spl2_47
| ~ spl2_98 ),
inference(rat,[],[s6756,s10964,s4650,s11843,s650]) ).
cnf(s12175,plain,
( ~ spl2_693
| ~ spl2_278
| ~ spl2_556
| ~ spl2_244 ),
inference(rat,[],[s5254,s5388,s4518]) ).
cnf(s12176,plain,
( ~ spl2_191
| spl2_693
| ~ spl2_149
| ~ spl2_119
| ~ spl2_132
| ~ spl2_556
| ~ spl2_229
| spl2_202
| spl2_47
| ~ spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5381,s8844,s8870,s8869,s5865,s3934,s656,s12174]) ).
cnf(s12177,plain,
( ~ spl2_145
| ~ spl2_278
| spl2_17
| ~ spl2_5
| ~ spl2_230
| spl2_47
| ~ spl2_244 ),
inference(rat,[],[s1503,s11005,s5078,s1029,s1617,s11129,s1496,s604]) ).
cnf(s12178,plain,
( spl2_234
| spl2_17
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8646,s12056,s10964,s6541,s10820,s1686,s650,s233,s11114,s573,s236,s11499,s271,s12177,s3816,s445,s12176,s12175,s7096,s4759,s7284,s9086,s9523,s859,s11730,s4211,s4207,s4803,s5819,s170,s4783,s720,s604,s10250,s8947,s504,s12173,s12132,s12086,s11963,s12171,s22]) ).
cnf(s12179,plain,
( ~ spl2_180
| ~ spl2_191
| ~ spl2_142
| ~ spl2_119
| ~ spl2_132
| ~ spl2_556
| ~ spl2_229
| spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_244 ),
inference(rat,[],[s5369,s538,s1476,s10964,s641,s9086,s6756,s1751,s646,s4759,s4650,s5254,s1374,s12174,s650,s604]) ).
cnf(s12180,plain,
( ~ spl2_191
| ~ spl2_234
| ~ spl2_142
| ~ spl2_119
| ~ spl2_132
| spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_244
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s6756,s10964,s4650,s4945,s4518,s2848,s5381,s8844,s8870,s8869,s5865,s3934,s656,s12179,s4207,s4803,s5819,s604]) ).
cnf(s12181,plain,
( ~ spl2_92
| spl2_237
| ~ spl2_145
| ~ spl2_234
| spl2_17
| ~ spl2_132
| ~ spl2_5
| ~ spl2_230
| spl2_202
| spl2_47 ),
inference(rat,[],[s1029,s1617,s11005,s9165,s1503,s6137,s2590,s1496]) ).
cnf(s12182,plain,
( ~ spl2_169
| spl2_191
| ~ spl2_234
| spl2_637
| ~ spl2_132
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s1845,s5512,s9114,s3056,s695,s445]) ).
cnf(s12183,plain,
( spl2_254
| ~ spl2_168
| ~ spl2_176
| spl2_258
| ~ spl2_234
| spl2_17
| ~ spl2_84
| ~ spl2_5
| ~ spl2_229
| ~ spl2_230
| spl2_47
| ~ spl2_244 ),
inference(rat,[],[s643,s9419,s641,s12181,s12177,s271,s11499,s294,s573,s4650,s604,s170,s10250,s504]) ).
cnf(s12184,plain,
( spl2_17
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1199,s11499,s2974,s271,s10820,s1500,s650,s12183,s10964,s12182,s307,s3816,s3850,s445,s12180,s12178,s22,s11730,s4211,s4207,s424,s170,s4783,s720,s4605,s10250,s504,s12173,s12132,s12086,s604,s12171,s11963]) ).
cnf(s12185,plain,
( spl2_169
| ~ spl2_269
| spl2_811
| ~ spl2_181
| spl2_356
| spl2_693
| ~ spl2_278
| ~ spl2_207
| ~ spl2_324
| spl2_637
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s4772,s443,s9257,s9114,s10735,s8869,s8697,s8844,s8788,s5381,s1902,s10964]) ).
cnf(s12186,plain,
( ~ spl2_180
| ~ spl2_181
| ~ spl2_149
| ~ spl2_278
| ~ spl2_207
| ~ spl2_324
| spl2_637
| ~ spl2_132
| ~ spl2_84
| ~ spl2_556
| spl2_47
| ~ spl2_244
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s9497,s8870,s4699,s5369,s6413,s538,s12185,s5750,s4650,s5254,s8239,s650,s10250,s424,s12175,s1751,s1376,s2017,s504]) ).
cnf(s12187,plain,
( spl2_234
| ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1496,s11927,s271,s9300,s5885,s10383,s1029,s12148,s12186,s445,s12176,s4759,s12175,s9086,s9523,s6074,s859,s10714,s11730,s4211,s4207,s4803,s5819,s170,s4783,s720,s8947,s4605,s10250,s504,s12173,s12132,s12086,s604,s12171,s11963,s12184]) ).
cnf(s12188,plain,
( spl2_149
| ~ spl2_234
| ~ spl2_17
| ~ spl2_132
| spl2_94
| spl2_202
| spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_4 ),
inference(rat,[],[s11741,s9075,s6186,s1029,s9086,s11873,s4759]) ).
cnf(s12189,plain,
( ~ spl2_110
| spl2_177
| ~ spl2_149
| ~ spl2_168
| spl2_191
| ~ spl2_17
| ~ spl2_132
| spl2_94
| ~ spl2_5
| ~ spl2_230
| spl2_47
| ~ spl2_98
| ~ spl2_244
| ~ spl2_4 ),
inference(rat,[],[s6803,s8196,s9300,s1617,s10383,s261,s1029,s12130,s12129,s425,s604]) ).
cnf(s12190,plain,
( spl2_197
| ~ spl2_234
| ~ spl2_17
| spl2_94
| ~ spl2_98
| ~ spl2_139
| ~ spl2_244 ),
inference(rat,[],[s32,s9300,s5078,s707,s6421,s10585]) ).
cnf(s12191,plain,
( ~ spl2_26
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1686,s6541,s4650,s12056,s12189,s443,s9114,s8697,s7284,s6545,s12190,s9104,s9419,s12188,s10964,s12182,s445,s12180,s12187,s12184,s4605,s424,s8947,s10250,s170,s504,s12173,s4783,s4211,s720,s604,s12171,s12132,s12086,s11963,s11730]) ).
cnf(s12192,plain,
( ~ spl2_94
| ~ spl2_132
| spl2_181
| spl2_211
| spl2_204
| ~ spl2_31
| ~ spl2_120
| spl2_202
| ~ spl2_74
| spl2_84
| ~ spl2_191
| spl2_193
| spl2_186
| spl2_212
| spl2_234
| spl2_301
| spl2_139
| ~ spl2_47
| spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s4336,s8494,s12060,s12029,s8869,s3934,s12072,s12061,s7606,s91,s8305,s10232,s330]) ).
cnf(s12193,plain,
( ~ spl2_180
| ~ spl2_7
| ~ spl2_20
| ~ spl2_113
| ~ spl2_132
| spl2_197
| ~ spl2_195
| ~ spl2_117
| spl2_92
| ~ spl2_244
| ~ spl2_191
| ~ spl2_324
| ~ spl2_47
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9499,s715,s12035,s11987,s10964,s8869,s294,s3675,s6940,s307,s3698,s3317]) ).
cnf(s12194,plain,
( ~ spl2_132
| spl2_181
| spl2_211
| spl2_92
| spl2_204
| spl2_178
| spl2_17
| ~ spl2_120
| spl2_202
| ~ spl2_74
| spl2_84
| ~ spl2_191
| spl2_193
| spl2_186
| spl2_212
| spl2_234
| spl2_301
| spl2_139
| ~ spl2_47
| spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8869,s12029,s3934,s12193,s11786,s35,s10383,s10697,s12,s8,s1199,s12192,s9118,s4953,s10714,s8305,s10232,s22,s10715,s10288,s10280,s6492,s10751]) ).
cnf(s12195,plain,
( ~ spl2_644
| ~ spl2_180
| ~ spl2_94
| ~ spl2_203
| ~ spl2_117
| spl2_204
| ~ spl2_31
| spl2_84
| ~ spl2_191
| ~ spl2_324
| ~ spl2_209
| ~ spl2_47
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9367,s8870,s307,s1965,s1964,s8516,s9296,s8792,s5184,s8869,s6940,s6675,s9580,s8868,s8167,s12071,s4652,s10256,s4772,s10238,s2448,s8646,s5937,s5939,s4389,s4390,s3619]) ).
cnf(s12196,plain,
( ~ spl2_180
| ~ spl2_94
| spl2_132
| ~ spl2_203
| ~ spl2_117
| spl2_204
| ~ spl2_31
| ~ spl2_337
| ~ spl2_244
| spl2_84
| ~ spl2_191
| spl2_299
| ~ spl2_209
| spl2_234
| ~ spl2_47
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s7971,s5369,s8870,s7549,s10964,s3623,s4437,s4400,s5254,s4803,s4044,s6026,s12071,s9520,s4978,s2025,s9715,s9379,s4811,s4903,s12195,s10714,s201]) ).
cnf(s12197,plain,
( spl2_169
| spl2_834
| ~ spl2_144
| spl2_180
| ~ spl2_94
| spl2_132
| spl2_211
| spl2_84
| ~ spl2_191
| spl2_193
| spl2_299
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9724,s9373,s4986,s9039,s4166,s8868,s8535,s8871,s4400,s6026,s9042,s8545,s5449,s9230,s4809,s10964,s330,s201,s656,s2527,s4339,s91]) ).
cnf(s12198,plain,
( ~ spl2_254
| ~ spl2_169
| ~ spl2_255
| ~ spl2_94 ),
inference(rat,[],[s4437,s3623,s4400]) ).
cnf(s12199,plain,
( ~ spl2_94
| spl2_132
| spl2_211
| ~ spl2_117
| spl2_204
| ~ spl2_31
| ~ spl2_337
| ~ spl2_244
| spl2_84
| ~ spl2_191
| spl2_193
| spl2_186
| spl2_299
| ~ spl2_209
| spl2_234
| ~ spl2_47
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s7156,s5306,s5254,s12198,s3696,s12197,s8538,s2522,s10697,s241,s2025,s4803,s2527,s11991,s4060,s4339,s12196,s4953,s91,s330]) ).
cnf(s12200,plain,
( spl2_17
| spl2_202
| spl2_84
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8793,s7396,s8868,s2538,s307,s4002,s8167,s3325,s3698,s3317,s4105,s3619,s10697,s1180,s1176,s8,s9166,s1199,s10769,s12199,s12194,s11750,s11957,s6492,s153,s10280,s10751,s4010,s10715,s118,s3169,s2974,s22,s12191,s10735,s9158,s364,s677,s558,s11899,s1751,s11730,s4781,s10440,s8305,s10232,s230,s3377,s4011,s2113,s155,s5186,s3702,s583,s1207,s186,s758,s91,s421,s724]) ).
cnf(s12203,plain,
( ~ spl2_145
| ~ spl2_140
| spl2_202
| spl2_84
| spl2_98
| spl2_26 ),
inference(rat,[],[s121,s1503,s1497]) ).
cnf(s12206,plain,
( spl2_204
| ~ spl2_168
| ~ spl2_7
| ~ spl2_180
| ~ spl2_117
| ~ spl2_17
| ~ spl2_244
| spl2_202
| ~ spl2_191
| spl2_234
| ~ spl2_250
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s715,s5388,s9499,s10792,s4518,s6600,s5381,s8844,s8869,s7909,s3759,s8870,s7549,s5636,s6940,s453,s3698,s3317,s5885,s3915,s271,s1496,s10288,s11730]) ).
cnf(s12207,plain,
( spl2_20
| spl2_44
| spl2_31
| ~ spl2_204
| spl2_169
| spl2_149
| ~ spl2_17
| ~ spl2_244
| spl2_84
| ~ spl2_191
| ~ spl2_324
| spl2_301
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s1593,s1505,s8869,s8870,s9499,s9257,s9298,s2522,s12109,s4715,s1676,s453,s1497,s11007,s9075,s3915,s10697,s10735,s4759,s267,s10964]) ).
cnf(s12208,plain,
( spl2_169
| spl2_149
| ~ spl2_180
| ~ spl2_117
| ~ spl2_17
| ~ spl2_244
| spl2_202
| spl2_84
| ~ spl2_191
| spl2_234
| spl2_301
| spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s715,s5388,s9499,s5381,s7971,s8844,s5369,s8869,s8870,s9257,s7549,s10792,s4802,s6940,s453,s3698,s3317,s12207,s10268,s1690,s269,s351,s3169,s12206,s10964,s11730,s12191,s724,s10735,s10714,s8305,s646]) ).
cnf(s12209,plain,
( spl2_204
| ~ spl2_254
| spl2_181
| ~ spl2_169
| ~ spl2_180
| ~ spl2_117
| ~ spl2_17
| ~ spl2_244
| spl2_202
| ~ spl2_324
| ~ spl2_47
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8869,s7909,s12035,s5636,s6940,s3698,s3915,s1496,s10288]) ).
cnf(s12210,plain,
( spl2_149
| ~ spl2_180
| ~ spl2_132
| spl2_202
| spl2_84
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10376,s3915,s1683,s1464,s1501,s7106,s428,s427,s10963,s7998,s324,s12071,s330,s11892,s1926,s1690,s269,s351,s3169,s12209,s9499,s8359,s715,s8937,s11987,s9529,s12208,s646,s4759,s10714,s364,s1791,s11899,s1751,s11730,s10232,s230,s3377,s4011,s2113,s155,s5186,s3702,s583,s1207,s186,s758,s91,s421,s724,s12200,s9118,s10715,s11068,s4953,s12191]) ).
cnf(s12211,plain,
( ~ spl2_180
| ~ spl2_132
| spl2_202
| spl2_84
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4351,s1501,s12071,s330,s11892,s1926,s121,s12203,s1497,s8494,s3915,s4978,s241,s2025,s12210,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s4781,s10440,s91,s12200,s10715,s11068,s4953,s12191]) ).
cnf(s12212,plain,
( ~ spl2_132
| spl2_202
| spl2_84
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2025,s11986,s241,s12120,s4339,s12211,s12191,s11899,s1751,s11730,s10232,s230,s3377,s4011,s2113,s155,s5186,s3702,s583,s1207,s186,s758,s91,s421,s724,s12200]) ).
cnf(s12213,plain,
( spl2_20
| spl2_149
| spl2_132
| ~ spl2_17
| ~ spl2_244
| ~ spl2_74
| spl2_84
| ~ spl2_191
| spl2_234
| ~ spl2_110
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s12006,s4932,s453,s456,s4803,s10308,s10769,s9075,s3956,s8494,s8212,s1941,s3915,s10697,s4759]) ).
cnf(s12214,plain,
( ~ spl2_94
| ~ spl2_29
| ~ spl2_178
| ~ spl2_179
| spl2_750
| ~ spl2_169 ),
inference(rat,[],[s98,s5350,s11694,s8646,s4932,s5937]) ).
cnf(s12215,plain,
( spl2_149
| ~ spl2_180
| spl2_132
| ~ spl2_17
| ~ spl2_244
| spl2_202
| ~ spl2_74
| spl2_84
| ~ spl2_191
| spl2_234
| spl2_139
| ~ spl2_47
| ~ spl2_110
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s715,s5388,s9499,s5381,s7971,s8844,s5369,s8869,s8870,s7901,s9367,s4802,s10268,s11993,s9379,s8947,s12214,s10288,s11992,s1237,s5885,s11676,s9732,s7,s6677,s453,s307,s3698,s3317,s996,s12213,s5939,s4390,s4811,s9715,s646,s8305]) ).
cnf(s12216,plain,
( ~ spl2_180
| spl2_132
| ~ spl2_17
| ~ spl2_244
| spl2_202
| ~ spl2_74
| spl2_84
| ~ spl2_191
| spl2_186
| spl2_299
| spl2_234
| spl2_139
| ~ spl2_47
| spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s526,s4715,s4809,s453,s12198,s7,s9520,s9732,s851,s121,s11676,s10769,s1497,s5178,s988,s1941,s3915,s4978,s241,s2025,s12215,s186]) ).
cnf(s12217,plain,
( spl2_132
| ~ spl2_17
| ~ spl2_4
| ~ spl2_244
| spl2_202
| ~ spl2_74
| spl2_84
| ~ spl2_191
| spl2_186
| spl2_299
| spl2_234
| spl2_139
| ~ spl2_47
| spl2_98
| spl2_26
| spl2_93 ),
inference(rat,[],[s241,s2025,s12120,s11991,s4339,s12216]) ).
cnf(s12218,plain,
( spl2_202
| spl2_84
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12217,s12212,s12200,s10232,s230,s3377,s4011,s12191,s758,s9158,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s4781,s10440,s91]) ).
cnf(s12219,plain,
( spl2_17
| spl2_84
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s6675,s8869,s9230,s12060,s10964,s8305,s7606,s11869,s10232,s1199,s3392,s656,s230,s4336,s8,s12063,s3096,s8494,s10697,s12028,s330,s11750,s11957,s6492,s153,s10280,s10751,s4010,s10288,s10715,s118,s3169,s2974,s22,s10735,s364,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s4781,s10440,s91,s9374,s9338,s12218]) ).
cnf(s12220,plain,
( ~ spl2_180
| ~ spl2_132
| spl2_84
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4351,s2078,s12071,s3048,s330,s11892,s1926,s11993,s9362,s526,s8305,s11987,s4715,s10232,s10964,s121,s230,s7549,s6675,s453,s456,s9073,s12063,s3096,s8870,s8869,s9075,s3956,s8494,s10697,s4243,s4555,s11589,s3619,s10735,s1791,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s4781,s10440,s91,s4759,s9374,s9338,s12218,s12219,s9118,s10715,s11068,s4953,s12191]) ).
cnf(s12221,plain,
( ~ spl2_132
| spl2_84
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12029,s8869,s11892,s8305,s6675,s1926,s10232,s9230,s4354,s230,s10964,s444,s349,s4105,s3377,s11987,s2527,s12120,s11910,s659,s4339,s656,s12220,s10715,s11068,s9118,s4953,s12191,s10735,s677,s1408,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s91,s245,s9374,s9338,s12218,s12219]) ).
cnf(s12222,plain,
( spl2_84
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12213,s10232,s11589,s230,s11991,s5910,s12221,s12219,s646,s9374,s9338,s12218,s4781,s10440,s91,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730]) ).
cnf(s12223,plain,
( ~ spl2_180
| spl2_211
| spl2_19
| ~ spl2_77
| spl2_178
| spl2_17
| spl2_202
| ~ spl2_148
| ~ spl2_156
| ~ spl2_84
| ~ spl2_191
| spl2_186
| spl2_212
| ~ spl2_324
| spl2_301
| spl2_192
| ~ spl2_250
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5178,s1505,s9271,s1593,s9228,s307,s8869,s8870,s5372,s7106,s236,s8451,s9257,s9298,s427,s8868,s10963,s9166,s8,s10964,s5350,s4772,s415,s7998,s4158,s324,s1176,s10697,s7276,s4128,s12053,s11558,s3619,s11730,s10735,s2058,s20,s12191,s330]) ).
cnf(s12225,plain,
( spl2_206
| ~ spl2_442
| ~ spl2_269
| spl2_180
| spl2_211
| ~ spl2_148
| spl2_186
| spl2_212
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s12050,s8868,s415,s4164,s330]) ).
cnf(s12226,plain,
( spl2_17
| spl2_202
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4937,s8935,s10963,s9228,s10962,s7968,s236,s9220,s8551,s11866,s879,s4055,s11507,s3326,s12225,s8871,s3798,s659,s12223,s330,s11750,s11957,s6492,s153,s271,s10751,s4010,s1496,s10715,s118,s3169,s2974,s22,s758,s10735,s10714,s364,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s4781,s161,s4759,s245,s8365,s2058,s12222]) ).
cnf(s12227,plain,
( ~ spl2_180
| ~ spl2_17
| spl2_202
| ~ spl2_74
| ~ spl2_84
| spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10333,s9223,s1165,s7395,s4351,s10268,s2078,s1503,s269,s10332,s1498,s1041,s8494,s988,s3915,s12053,s11558,s11730,s12191,s724]) ).
cnf(s12228,plain,
( ~ spl2_145
| spl2_456
| ~ spl2_258
| spl2_180 ),
inference(rat,[],[s2435,s1502,s1500]) ).
cnf(s12229,plain,
( spl2_202
| spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8871,s12225,s3929,s11892,s11507,s1926,s4010,s882,s5848,s9326,s8870,s1965,s10715,s1055,s2161,s310,s996,s3915,s12228,s2154,s5184,s5643,s5749,s526,s4657,s8869,s659,s8975,s3392,s3934,s12227,s12226,s9764,s4953,s12191,s364,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s4781,s161,s4759,s245,s8365,s2058,s12222]) ).
cnf(s12230,plain,
( ~ spl2_206
| ~ spl2_202
| ~ spl2_84
| ~ spl2_324
| spl2_301
| ~ spl2_47 ),
inference(rat,[],[s9220,s8551,s879,s10962,s4055,s3326,s7464,s2058]) ).
cnf(s12231,plain,
( spl2_139
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12050,s8868,s415,s4166,s5767,s7968,s10963,s8551,s5758,s2645,s12225,s8871,s3929,s12230,s659,s11374,s12229,s245,s8365,s2058,s12222,s11899,s1751,s2113,s677,s364,s155,s5186,s10714,s10735,s3702,s421,s1207,s724,s11730,s186,s583]) ).
cnf(s12232,plain,
( spl2_149
| ~ spl2_94
| spl2_212
| ~ spl2_180
| spl2_17
| ~ spl2_234
| spl2_202
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s325,s12071,s10963,s9271,s4937,s307,s10962,s294,s7710,s10964,s330,s8647,s11957,s9499,s153,s5292,s6675,s4010,s10735,s8869,s10519,s8844,s6993,s5383,s5374,s5369,s11129,s1476,s8943,s641,s9086,s9764,s646,s4759,s11730,s4953,s1263,s4207,s12231,s5458,s1751,s2102,s583,s20,s12191,s10715,s11942,s10751,s118,s22,s2974,s186,s7606]) ).
cnf(s12233,plain,
( ~ spl2_244
| ~ spl2_254
| spl2_269
| spl2_132
| ~ spl2_94
| ~ spl2_191
| spl2_299
| spl2_300
| ~ spl2_234
| ~ spl2_139
| spl2_93 ),
inference(rat,[],[s1588,s4809,s8844,s1487,s1476,s9520,s5131,s1364,s10519,s2848,s8502,s6993,s1751]) ).
cnf(s12234,plain,
( ~ spl2_18
| spl2_212
| spl2_186
| ~ spl2_180
| spl2_17
| ~ spl2_70
| ~ spl2_234
| spl2_202
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1450,s5443,s5402,s325,s9727,s10963,s1748,s2334,s2335,s5645,s8167,s9520,s8868,s4903,s5449,s2305,s10763,s4390,s10964,s8606,s8844,s5874,s11819,s8869,s1845,s5383,s5805,s8511,s5255,s8943,s1222,s12233,s5178,s548,s4754,s4978,s12061,s2025,s12232,s234,s1199,s236,s11730,s12191,s4803,s5819,s1441,s4211,s5458,s2102,s583,s2756,s12231,s11942,s10751,s118,s22,s2974,s186,s3619]) ).
cnf(s12235,plain,
( ~ spl2_180
| spl2_19
| spl2_17
| ~ spl2_234
| spl2_202
| spl2_8
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4937,s10963,s10962,s325,s12071,s7710,s330,s11957,s153,s4010,s11048,s9510,s5375,s9118,s10964,s5383,s11129,s10769,s9107,s641,s12232,s9764,s6940,s307,s35,s11786,s3698,s3317,s10383,s10697,s12,s8,s12234,s371,s680,s5664,s3619,s11730,s4953,s12191,s5458,s9166,s1177,s764,s4207,s12231,s421,s10715,s11942,s10751,s118,s22,s2974,s186]) ).
cnf(s12236,plain,
( spl2_17
| spl2_202
| spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8844,s5383,s8870,s5255,s8869,s5865,s12104,s3934,s656,s12235,s11942,s10280,s10751,s118,s2974,s22,s11730,s997,s4803,s5819,s5458,s749,s4207,s12231,s91,s186]) ).
cnf(s12237,plain,
( spl2_149
| ~ spl2_191
| ~ spl2_180
| spl2_202
| spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5350,s444,s10751,s7909,s118,s5636,s10729,s10288,s11992,s1237,s6681,s5885,s6677,s307,s8869,s271,s3698,s3317,s996,s8844,s12203,s12111,s5383,s1476,s6186,s8943,s641,s9086,s646,s4759,s11730,s12191,s4211,s5458,s186,s1751,s2102,s583,s9166,s1177,s764,s997,s421,s749,s4207,s12231,s91,s12236]) ).
cnf(s12238,plain,
( spl2_20
| ~ spl2_17
| ~ spl2_230
| spl2_202
| spl2_84
| spl2_98
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s12203,s11005,s3915]) ).
cnf(s12239,plain,
( ~ spl2_180
| spl2_202
| spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2792,s11620,s325,s10963,s4937,s10962,s7710,s11949,s12237,s371,s5664,s3619,s11730,s997,s9764,s5383,s641,s229,s5458,s749,s4207,s91,s186,s10288,s11992,s1237,s996,s5885,s271,s12203,s6186,s8943,s9086,s4759,s2025,s241,s12238,s12236,s4211,s12191,s12231]) ).
cnf(s12240,plain,
( spl2_202
| spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7629,s7960,s3684,s10964,s5292,s10735,s695,s8869,s11828,s12104,s656,s2336,s678,s5655,s12239,s2614,s8943,s9086,s5383,s2739,s4759,s641,s2844,s2025,s229,s4105,s241,s12238,s12236,s1751,s2102,s5458,s749,s1441,s4207,s4211,s1263,s11730,s12191,s186,s583,s12231,s91]) ).
cnf(s12241,plain,
( spl2_234
| ~ spl2_265
| ~ spl2_120
| ~ spl2_94
| ~ spl2_180
| ~ spl2_191
| spl2_92
| spl2_178
| spl2_299
| ~ spl2_202
| ~ spl2_139
| ~ spl2_47
| spl2_232
| spl2_93 ),
inference(rat,[],[s4809,s1588,s7587,s8646,s1751,s7824,s2641,s2113,s6993,s10735,s155,s4772,s10232,s12063,s5186,s10714,s2016,s4555,s10697,s11589,s5861,s8870,s4243,s3619]) ).
cnf(s12242,plain,
( ~ spl2_180
| ~ spl2_191
| spl2_19
| spl2_92
| spl2_178
| spl2_299
| ~ spl2_202
| ~ spl2_75
| ~ spl2_139
| ~ spl2_47
| spl2_232
| spl2_98
| spl2_93 ),
inference(rat,[],[s5642,s4782,s8664,s1222,s1902,s6717,s10964,s7768,s11987,s7527,s5805,s9362,s9118,s1476,s1588,s9760,s10735,s1751,s11804,s2102,s12241,s7606,s230,s1199,s5861,s5867,s3096,s8,s8870,s8869,s10697,s4243,s4555,s11589,s3619]) ).
cnf(s12243,plain,
( spl2_149
| spl2_234
| spl2_17
| spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1813,s5528,s10962,s8868,s7464,s8535,s12225,s8871,s9059,s330,s11957,s153,s3478,s3741,s1964,s7156,s9296,s5306,s5184,s6940,s1505,s9230,s1593,s10964,s5650,s11987,s1588,s8536,s9118,s4657,s715,s8975,s11991,s3468,s3392,s245,s646,s4759,s680,s371,s7344,s997,s10715,s656,s444,s2527,s4339,s12242,s10280,s2756,s12240,s11730,s11942,s10751,s118,s22,s2030,s749,s91,s12231,s1751,s2113,s155,s5186,s2016,s2974,s186,s583]) ).
cnf(s12244,plain,
( spl2_234
| spl2_17
| spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8646,s2641,s4390,s4388,s4811,s12061,s6993,s1199,s12,s9720,s10383,s5091,s11786,s2025,s12243,s2030,s749,s4953,s12191,s2527,s4339,s12242,s10280,s2756,s12240,s12231,s583,s11730,s11942,s10751,s118,s22,s2974,s186,s91]) ).
cnf(s12245,plain,
( spl2_149
| spl2_17
| spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12225,s8871,s12027,s9059,s10288,s11957,s349,s4105,s153,s5012,s10697,s3478,s307,s8,s8870,s3741,s1964,s1199,s1505,s7156,s9296,s9354,s1593,s5306,s5184,s8512,s5255,s6940,s7527,s9230,s7768,s10964,s5642,s5650,s4400,s11987,s1588,s9118,s4657,s715,s8975,s11991,s3468,s3392,s245,s646,s4759,s765,s371,s10715,s656,s4803,s4060,s9166,s1180,s444,s2527,s4339,s12242,s11942,s10751,s10280,s118,s22,s2974,s186,s2756,s91,s12231,s11730,s680,s7344,s12240,s997,s1751,s2102,s12244,s583]) ).
cnf(s12246,plain,
( spl2_17
| spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1199,s9354,s2614,s12,s8512,s5255,s10383,s5091,s11786,s2025,s12245,s12244,s9166,s1180,s444,s2527,s4803,s4339,s4060,s12242,s11942,s10280,s10751,s118,s2974,s2756,s22,s11730,s4953,s12191,s186,s583,s12231,s91,s765,s680,s7344,s12240,s997]) ).
cnf(s12247,plain,
( ~ spl2_180
| ~ spl2_191
| ~ spl2_17
| ~ spl2_202
| spl2_84
| ~ spl2_139
| ~ spl2_47
| spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s3949,s7938,s3921,s2025,s1690,s4354,s5091,s10268,s9362,s4802,s526,s4715,s307,s5012,s10585,s121,s5861,s1497,s8870,s3915,s4243,s11589,s3619]) ).
cnf(s12248,plain,
( ~ spl2_191
| spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1964,s307,s2157,s5012,s519,s8870,s526,s12117,s4657,s8975,s10792,s3392,s10213,s4759,s6421,s452,s4354,s2025,s229,s444,s349,s4105,s241,s2527,s12120,s4339,s12247,s11730,s12191,s12231,s91,s680,s7344,s12240,s997,s12246]) ).
cnf(s12249,plain,
( ~ spl2_180
| spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10333,s7464,s10403,s4351,s10268,s2078,s1690,s4171,s421,s452,s5995,s1192,s121,s9075,s7855,s8494,s1497,s4759,s1902,s4781,s8869,s3915,s9064,s4243,s1298,s4555,s11589,s3619,s12191,s12240,s12246,s445,s441,s11949,s11730,s1751,s1366,s12231,s10964,s695,s12248,s186]) ).
cnf(s12250,plain,
( ~ spl2_145
| ~ spl2_177
| spl2_180
| spl2_84
| spl2_98
| spl2_26 ),
inference(rat,[],[s6940,s10715,s4715,s926,s121,s1500,s1497]) ).
cnf(s12251,plain,
( spl2_149
| ~ spl2_208
| ~ spl2_806
| spl2_206
| ~ spl2_16
| ~ spl2_197
| ~ spl2_102
| ~ spl2_29
| ~ spl2_265
| ~ spl2_94
| ~ spl2_203
| ~ spl2_17
| spl2_212
| ~ spl2_4 ),
inference(rat,[],[s6492,s7768,s10751,s9732,s6477,s4931,s7408,s4399,s5223,s428,s427,s415,s7998,s245,s4759]) ).
cnf(s12252,plain,
( spl2_84
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2025,s12251,s10256,s4652,s7527,s11368,s7,s10792,s6421,s452,s4354,s1237,s349,s4105,s241,s996,s5885,s3915,s271,s12250,s7606,s9230,s7960,s656,s12249,s10964,s2527,s695,s11949,s441,s12248,s12246,s371,s7344,s12240,s91,s997,s11730,s12191,s186,s12231]) ).
cnf(s12253,plain,
( spl2_202
| spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s371,s12089,s5664,s12235,s3619,s3934,s8869,s8844,s271,s5381,s1496,s12175,s8870,s11129,s8943,s5867,s641,s764,s4803,s9086,s9764,s4207,s5819,s11730,s4953,s12191,s12231,s5686,s4759,s646,s8365,s2058,s12252,s11942,s10751,s118,s2974,s186,s22]) ).
cnf(s12254,plain,
( spl2_17
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1442,s234,s9637,s502,s236,s4351,s8512,s5255,s11866,s8494,s11129,s349,s10962,s10830,s3830,s9166,s153,s1164,s1180,s11957,s3841,s2645,s9658,s12225,s7910,s8871,s5643,s3929,s8869,s12230,s4657,s7902,s4803,s659,s10714,s3392,s10213,s4060,s371,s680,s7277,s379,s11374,s765,s7344,s12253,s11942,s10751,s10715,s118,s2974,s22,s11730,s4953,s12191,s186,s12231,s4781,s161,s5686,s245,s8365,s2058,s12252]) ).
cnf(s12255,plain,
( ~ spl2_145
| ~ spl2_140
| ~ spl2_278
| spl2_202
| spl2_26 ),
inference(rat,[],[s642,s1503,s1496]) ).
cnf(s12256,plain,
( spl2_202
| ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s307,s5849,s8451,s7956,s10964,s5350,s8869,s695,s441,s8844,s12117,s5369,s8870,s10751,s4362,s10213,s1055,s6600,s3289,s310,s11558,s996,s5885,s3915,s271,s12255,s6186,s8943,s641,s9086,s4207,s1263,s11730,s4953,s12191,s186,s12231,s4781,s161,s4759,s646,s8365,s2058,s12252,s12254]) ).
cnf(s12257,plain,
( ~ spl2_47
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4351,s11949,s1501,s12014,s394,s402,s452,s456,s9075,s3956,s8494,s3915,s12230,s11939,s10714,s7277,s379,s11374,s12256,s12254,s4759,s4781,s8365,s161,s2058,s12252,s12231,s11730]) ).
cnf(s12258,plain,
( ~ spl2_442
| spl2_834
| ~ spl2_128
| ~ spl2_588
| ~ spl2_255
| ~ spl2_247
| ~ spl2_208
| spl2_84 ),
inference(rat,[],[s9230,s6026,s10964,s8535,s9632]) ).
cnf(s12259,plain,
( ~ spl2_258
| spl2_132
| ~ spl2_588
| ~ spl2_556
| ~ spl2_255
| ~ spl2_247
| ~ spl2_208
| spl2_84
| ~ spl2_94
| ~ spl2_203
| ~ spl2_31
| ~ spl2_191
| spl2_299
| ~ spl2_308
| spl2_93 ),
inference(rat,[],[s7156,s5306,s5254,s12198,s3696,s4809,s9042,s8871,s12258,s8538,s201]) ).
cnf(s12260,plain,
( spl2_202
| spl2_17
| spl2_139
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10335,s12035,s1867,s573,s6940,s12259,s12079,s8868,s4803,s8869,s2527,s12078,s4060,s3934,s4339,s656,s12077,s11760,s91,s11499,s8305,s504,s1445,s271,s9228,s233,s234,s1496,s11912,s4953,s12191,s12257,s758,s10714,s9158,s558,s11899,s1751,s2113,s155,s5186,s3702,s583,s11750,s6492,s10751,s118,s421,s724,s11730,s330,s11957,s153,s4010,s3169,s22,s1207,s10715,s2974,s186]) ).
cnf(s12261,plain,
( spl2_149
| spl2_179
| ~ spl2_189
| ~ spl2_464
| ~ spl2_119
| spl2_244
| spl2_211
| spl2_178
| ~ spl2_33
| spl2_306
| spl2_212
| spl2_234
| spl2_139
| spl2_47
| spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8868,s9032,s5372,s10524,s4909,s5380,s2519,s9271,s4044,s307,s4803,s8451,s5255,s10964,s11856,s11987,s9118,s5910,s715,s9168,s646,s330,s3377,s154,s10232]) ).
cnf(s12262,plain,
( spl2_169
| ~ spl2_149
| spl2_593
| ~ spl2_180
| spl2_140
| ~ spl2_25
| ~ spl2_119
| spl2_211
| spl2_92
| spl2_178
| ~ spl2_33
| ~ spl2_31
| ~ spl2_191
| spl2_299
| ~ spl2_209
| spl2_234
| spl2_47
| spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8871,s11860,s8084,s468,s427,s2519,s4044,s4041,s5381,s4803,s9271,s8844,s11863,s307,s8870,s8869,s9118,s8451,s7549,s9257,s4809,s10964,s330,s8545,s8547,s4650,s650,s3142]) ).
cnf(s12263,plain,
( ~ spl2_113
| ~ spl2_169
| ~ spl2_149
| spl2_179
| ~ spl2_180
| ~ spl2_333
| ~ spl2_119
| spl2_207
| ~ spl2_203
| ~ spl2_79
| spl2_92
| ~ spl2_33
| ~ spl2_209
| spl2_234
| spl2_47
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11859,s4633,s427,s2519,s4044,s4803,s11863,s4650,s650,s3142]) ).
cnf(s12264,plain,
( ~ spl2_269
| ~ spl2_278
| spl2_520
| spl2_593
| spl2_179
| spl2_140
| ~ spl2_195
| ~ spl2_33
| spl2_93 ),
inference(rat,[],[s5381,s8844,s8870,s8869,s9372,s7901,s307,s5388,s9271]) ).
cnf(s12265,plain,
( ~ spl2_180
| spl2_140
| spl2_207
| ~ spl2_84
| spl2_244
| spl2_211
| ~ spl2_79
| ~ spl2_195
| spl2_92
| spl2_178
| ~ spl2_33
| ~ spl2_31
| ~ spl2_191
| spl2_306
| spl2_193
| spl2_212
| spl2_299
| spl2_234
| spl2_301
| spl2_139
| spl2_47
| spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s10614,s9719,s10962,s4811,s3830,s4389,s9632,s5431,s8871,s8646,s8084,s9520,s12264,s4633,s427,s2519,s9407,s4783,s9519,s170,s425,s12263,s12262,s3142,s12261,s4782,s8547,s9499,s2604,s650,s186,s10735,s10714,s330,s1222,s8943,s8947,s10383,s1029,s10697,s3096,s154,s10250,s504,s10232,s10268]) ).
cnf(s12266,plain,
( spl2_17
| spl2_139
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2519,s1508,s11862,s8360,s11856,s8937,s9118,s5255,s170,s9529,s8868,s4803,s4783,s1507,s12078,s4060,s657,s12265,s2469,s10383,s6063,s1029,s10697,s3096,s3377,s154,s10250,s11448,s504,s10280,s11499,s236,s10232,s9228,s1222,s604,s12260,s11957,s153,s4010,s10288,s10715,s118,s3169,s2974,s20,s22,s4953,s12191,s12257,s10735,s9158,s364,s677,s558,s1408,s1102,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730]) ).
cnf(s12269,plain,
( spl2_29
| spl2_202
| spl2_254
| ~ spl2_17
| ~ spl2_191
| spl2_139
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s4715,s269,s528,s6677,s10332,s8547,s5885,s10383]) ).
cnf(s12270,plain,
( spl2_202
| spl2_254
| ~ spl2_17
| ~ spl2_191
| spl2_234
| spl2_301
| spl2_139
| spl2_47
| spl2_98
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s154,s10250,s10232,s12061,s1197,s887,s45,s4759,s44,s9075,s7,s453,s4715,s269,s10332,s4783,s2522,s988,s422,s10697,s1258,s1029,s12269,s3476,s4007,s4953,s9499]) ).
cnf(s12272,plain,
( spl2_20
| spl2_84
| spl2_120
| ~ spl2_17
| ~ spl2_110
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s269,s10341,s11180,s988,s10697]) ).
cnf(s12273,plain,
( spl2_84
| spl2_120
| spl2_254
| ~ spl2_17
| ~ spl2_191
| spl2_47
| ~ spl2_110
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s4715,s269,s528,s6677,s10341,s8547,s5885,s10383,s1029,s12272]) ).
cnf(s12274,plain,
( spl2_20
| ~ spl2_118
| spl2_94
| ~ spl2_17
| spl2_98
| ~ spl2_308
| ~ spl2_4 ),
inference(rat,[],[s11068,s10769,s3096,s1941,s10697]) ).
cnf(s12275,plain,
( spl2_254
| spl2_139
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5278,s8871,s6580,s8084,s468,s427,s2519,s1176,s9166,s5178,s5749,s2435,s4715,s528,s6677,s8547,s10383,s1029,s12274,s330,s154,s11892,s10250,s11448,s504,s12273,s10232,s604,s12270,s4953,s12191,s12257,s364,s677,s11899,s1751,s2113,s155,s5186,s421,s724,s3702,s1207,s186,s583,s11730,s12266]) ).
cnf(s12276,plain,
( spl2_84
| ~ spl2_187
| ~ spl2_189
| spl2_180
| ~ spl2_17
| spl2_193
| spl2_186
| spl2_192
| spl2_47
| spl2_98
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s7179,s9788,s10964,s6919,s9732,s43,s1867,s4716,s926,s269,s12250,s1462,s10280,s10341,s271,s275,s7,s5885,s26,s1029,s10253,s12120,s4953,s186,s656]) ).
cnf(s12277,plain,
( spl2_20
| ~ spl2_19
| ~ spl2_74
| spl2_94
| spl2_180
| ~ spl2_17
| ~ spl2_191
| spl2_234
| spl2_139
| spl2_47
| spl2_98
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s604,s10332,s10232,s269,s154,s12014,s12274,s8494,s4953,s10250,s271]) ).
cnf(s12278,plain,
( spl2_202
| spl2_15
| ~ spl2_323
| ~ spl2_19
| ~ spl2_254
| ~ spl2_17
| ~ spl2_191
| spl2_299
| spl2_139
| spl2_47
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s1589,s5848,s45,s10792,s44,s1690,s269,s8869,s1466,s10332,s3934,s758,s4783,s657,s650,s275,s7]) ).
cnf(s12279,plain,
( spl2_139
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s468,s5704,s2519,s3748,s1508,s44,s8360,s45,s8937,s1319,s9529,s5755,s1507,s8868,s3377,s12078,s330,s154,s11892,s10232,s11448,s604,s12278,s7,s26,s10383,s1055,s1029,s996,s12277,s1462,s275,s11499,s1199,s11068,s9118,s4781,s10250,s170,s161,s504,s12276,s4783,s657,s4551,s4339,s650,s12275,s12266,s11899,s1751,s2113,s1102,s1408,s558,s677,s364,s9158,s155,s5186,s3702,s421,s1207,s758,s724,s11730,s4953,s12191,s186,s583,s12257]) ).
cnf(s12280,plain,
( spl2_202
| ~ spl2_240
| spl2_84
| spl2_181
| ~ spl2_258
| spl2_254
| ~ spl2_191
| spl2_92
| spl2_178
| spl2_299
| ~ spl2_31
| ~ spl2_139
| spl2_47
| spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s252,s9086,s12061,s8943,s4809,s12125,s3696,s5254,s5508,s8869,s4803,s4210,s3874,s4207,s5819,s8545,s781,s997,s904,s2527,s91,s9499,s1199,s11499,s10280]) ).
cnf(s12281,plain,
( spl2_84
| spl2_20
| spl2_254
| spl2_17
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9257,s11987,s8869,s715,s8844,s646,s5381,s12061,s9118,s8870,s4791,s10735,s5861,s5387,s11804,s4782,s9734,s10232,s8943,s1222,s604,s12280,s8494,s4781,s1996,s1199,s236,s11499,s230,s10280,s91,s11730,s6807,s2039,s12257,s2756,s12279,s3096,s3816,s2522,s10697,s9499,s11942,s10751,s118,s2974,s186,s22]) ).
cnf(s12282,plain,
( spl2_202
| ~ spl2_240
| ~ spl2_19
| ~ spl2_84
| ~ spl2_180
| spl2_92
| ~ spl2_33
| ~ spl2_139
| spl2_47
| spl2_98
| ~ spl2_4 ),
inference(rat,[],[s11863,s9118,s11947,s170,s1690,s4803,s4783,s4210,s1496,s4207,s5819,s720,s10250,s504,s271]) ).
cnf(s12283,plain,
( spl2_20
| ~ spl2_180
| spl2_17
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11987,s9118,s9519,s11125,s11129,s10964,s10288,s9107,s7901,s307,s1964,s9296,s5184,s5805,s8869,s8844,s5381,s8870,s5387,s1751,s5861,s1948,s2102,s4782,s8558,s10232,s8943,s1222,s604,s12282,s8494,s11499,s154,s4650,s4781,s1199,s10250,s161,s504,s12281,s2522,s3096,s10697,s11730,s4953,s583,s12279,s20,s12191,s9499,s650,s12257,s11942,s10751,s118,s2974,s186,s22]) ).
cnf(s12284,plain,
( spl2_202
| spl2_84
| ~ spl2_20
| spl2_254
| ~ spl2_191
| spl2_92
| spl2_178
| spl2_299
| ~ spl2_31
| ~ spl2_139
| spl2_47
| spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s7129,s4759,s2469,s9086,s5255,s9734,s8943,s12125,s1117,s5254,s749,s4803,s4207,s5819,s8545,s9499,s91,s1199,s11499,s10280]) ).
cnf(s12285,plain,
( spl2_84
| ~ spl2_20
| spl2_254
| ~ spl2_191
| spl2_92
| spl2_178
| spl2_299
| ~ spl2_31
| ~ spl2_139
| spl2_47
| spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11987,s9257,s715,s8869,s646,s8844,s12061,s9118,s5381,s4791,s10735,s8870,s11804,s5861,s5387,s749,s4782,s9734,s8558,s8943,s1222,s604,s12284,s573,s1199,s11499,s10280,s91,s9499]) ).
cnf(s12286,plain,
( spl2_202
| ~ spl2_145
| ~ spl2_84
| ~ spl2_180
| spl2_92
| ~ spl2_33
| spl2_17
| ~ spl2_139
| spl2_47
| spl2_98
| ~ spl2_308
| ~ spl2_4 ),
inference(rat,[],[s11863,s646,s9118,s641,s170,s11129,s4803,s4783,s1496,s4207,s5819,s720,s10250,s504]) ).
cnf(s12288,plain,
( ~ spl2_132
| ~ spl2_149
| ~ spl2_335
| ~ spl2_203
| ~ spl2_119
| ~ spl2_180
| ~ spl2_191
| spl2_92
| ~ spl2_33
| ~ spl2_139
| spl2_47
| spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s879,s9263,s10524,s11987,s8952,s8084,s8868,s8871,s6195,s5386,s10962,s1813,s5380,s8606,s427,s5381,s2519,s11805,s4044,s4803,s11863,s9118,s2604,s8545,s8870,s5861,s4782,s650]) ).
cnf(s12289,plain,
( ~ spl2_149
| ~ spl2_202
| ~ spl2_203
| spl2_186
| ~ spl2_126
| ~ spl2_84
| ~ spl2_180
| ~ spl2_191
| spl2_92
| spl2_299
| ~ spl2_33
| ~ spl2_139
| spl2_47
| spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s7932,s9582,s9529,s7919,s4783,s4809,s5131,s170,s12288,s8545,s10250,s504,s8943,s8870,s5861,s4782,s1222,s604,s650]) ).
cnf(s12290,plain,
( ~ spl2_180
| spl2_17
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8869,s7901,s8844,s9271,s10288,s5381,s5374,s11129,s5388,s641,s715,s646,s12289,s8870,s5861,s4782,s8558,s1222,s604,s12286,s330,s684,s11957,s10299,s271,s153,s11499,s9300,s1199,s165,s504,s12285,s10383,s1029,s12283,s9499,s650,s11730,s4953,s904,s12257,s20,s12191,s2756,s12279,s10715,s11942,s10751,s118,s2974,s186,s22]) ).
cnf(s12291,plain,
( spl2_202
| spl2_20
| ~ spl2_74
| spl2_180
| ~ spl2_191
| ~ spl2_139
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5381,s8844,s8870,s5387,s8869,s4362,s4210,s3934,s1263,s8494,s2522,s10697,s4339]) ).
cnf(s12292,plain,
( spl2_20
| spl2_84
| spl2_17
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s252,s12061,s11828,s4791,s10735,s5381,s1751,s8870,s11804,s5387,s1365,s5865,s1570,s10232,s9734,s8558,s8943,s604,s12291,s230,s2522,s3096,s10697,s11730,s12279,s656,s4339,s12290,s11942,s10751,s91,s680,s997,s904,s1199,s2974,s186,s4781,s1996,s236,s11499,s10280,s118,s22,s12257,s6807,s2039]) ).
cnf(s12293,plain,
( spl2_84
| spl2_17
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12259,s12079,s8868,s11760,s12078,s330,s11957,s153,s1436,s307,s1964,s2157,s508,s6940,s9230,s10964,s12198,s12285,s12292,s1199,s444,s11499,s10253,s10280,s11730,s4953,s12191,s12257,s2756,s12279,s10715,s656,s4339,s4551,s4803,s4060,s12290,s11942,s10751,s118,s2974,s186,s22]) ).
cnf(s12294,plain,
( spl2_20
| spl2_17
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11799,s10232,s5255,s8558,s8943,s1222,s154,s11448,s604,s3096,s12291,s10697,s11730,s12279,s4803,s4060,s10250,s504,s4781,s161,s9118,s170,s12293,s4783,s657,s12290,s11942,s10751,s118,s2974,s186,s22,s12257]) ).
cnf(s12295,plain,
( spl2_202
| spl2_186
| ~ spl2_145
| ~ spl2_74
| spl2_180
| ~ spl2_191
| spl2_17
| ~ spl2_139
| ~ spl2_308
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s4518,s1374,s5381,s1751,s5255,s8844,s8870,s3391,s11129,s8869,s1441,s4362,s1496,s3934,s4211,s1263,s4803,s4060,s9464,s1500]) ).
cnf(s12296,plain,
( spl2_17
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11962,s1751,s3377,s2113,s1408,s154,s155,s10232,s5186,s11799,s5255,s8558,s8943,s1222,s11448,s604,s12295,s330,s11957,s153,s374,s9300,s663,s10383,s1029,s12294,s1500,s271,s11499,s9118,s4781,s1199,s10250,s170,s161,s504,s12293,s4803,s4783,s4060,s657,s12290,s11942,s10751,s10715,s2016,s118,s2974,s22,s11730,s4953,s12191,s186,s583,s904,s12257,s12279]) ).
cnf(s12297,plain,
( spl2_84
| spl2_20
| ~ spl2_191
| spl2_254
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11799,s3874,s5093,s5255,s8558,s10583,s8943,s1222,s8869,s1681,s1594,s10250,s1411,s1493,s12061,s45,s9118,s1777,s10383,s4759,s44,s9732,s8870,s8547,s9075,s7,s5012,s6677,s453,s307,s4715,s10585,s444,s926,s121,s2527,s781,s1497,s91,s997,s11730,s4953,s12191,s186,s904,s12257,s12279,s3915,s988,s2522,s10697,s9499,s4783,s422,s4803,s8212,s12296]) ).
cnf(s12298,plain,
( ~ spl2_44
| ~ spl2_168
| spl2_177
| spl2_456
| spl2_98
| spl2_26 ),
inference(rat,[],[s307,s294,s2435,s121]) ).
cnf(s12299,plain,
( spl2_20
| ~ spl2_191
| ~ spl2_180
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s247,s4759,s3001,s9075,s9107,s453,s307,s4715,s12298,s10964,s11987,s4650,s9118,s10250,s170,s504,s12297,s5749,s5254,s4700,s4803,s4783,s2522,s8212,s422,s10697,s4953,s12191,s186,s12296,s9499,s650,s12257]) ).
cnf(s12300,plain,
( ~ spl2_191
| ~ spl2_180
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8869,s6539,s5805,s6190,s8943,s11367,s604,s5819,s4803,s5254,s5749,s2435,s1964,s4715,s528,s6677,s8547,s10383,s1029,s12299,s11730,s4953,s12191,s12279,s12296,s650,s12257]) ).
cnf(s12301,plain,
( spl2_202
| ~ spl2_240
| spl2_20
| ~ spl2_168
| spl2_254
| ~ spl2_17
| ~ spl2_139
| spl2_47
| spl2_98
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s4650,s10250,s12298,s504,s1503,s12238,s4210,s4211,s3915,s5749,s5254,s4803,s8212,s4953]) ).
cnf(s12302,plain,
( spl2_20
| ~ spl2_74
| ~ spl2_168
| spl2_191
| ~ spl2_180
| ~ spl2_17
| ~ spl2_139
| spl2_47
| spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s1690,s642,s452,s9075,s4759,s7129,s1914,s8870,s9513,s2522,s883,s1334,s5183,s11731,s1948,s5255,s8558,s1222,s604,s12301,s6541,s5254,s4803,s4783,s8494,s8212,s422,s10697,s650,s445]) ).
cnf(s12303,plain,
( spl2_84
| ~ spl2_5
| ~ spl2_229
| spl2_202
| ~ spl2_19
| spl2_15
| ~ spl2_323
| spl2_29
| ~ spl2_17
| ~ spl2_139
| spl2_47
| spl2_98
| spl2_26 ),
inference(rat,[],[s1108,s6717,s45,s2031,s44,s10792,s8539,s121,s749,s12203,s1497,s91,s7,s271]) ).
cnf(s12304,plain,
( spl2_202
| ~ spl2_323
| spl2_29
| ~ spl2_168
| spl2_254
| ~ spl2_17
| ~ spl2_139
| spl2_47
| spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8870,s1477,s9505,s10268,s45,s2031,s5849,s4715,s1503,s44,s10585,s307,s12298,s8451,s4650,s11068,s10250,s170,s504,s12303,s5749,s5254,s4803,s4783,s4207,s5819,s720,s4953,s8547,s10383,s7,s26,s271,s5885]) ).
cnf(s12305,plain,
( ~ spl2_180
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4650,s10250,s12129,s10314,s269,s10585,s11367,s12304,s5885,s1055,s1029,s996,s12302,s4781,s10964,s1298,s695,s445,s12300,s650,s11730,s4953,s12191,s186,s12257,s12279,s12296]) ).
cnf(s12306,plain,
( ~ spl2_191
| spl2_20
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5255,s11731,s604,s3622,s12291,s5254,s4781,s5749,s161,s12228,s12120,s2522,s4339,s11730,s4953,s12191,s12257,s12279,s12305,s10697,s3915,s4783,s422,s4803,s8212,s12296]) ).
cnf(s12307,plain,
( spl2_20
| spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9230,s12250,s504,s7960,s2522,s1502,s269,s10964,s590,s695,s12306,s1500,s3915,s10697,s12191,s186,s12257,s12296,s656,s12305]) ).
cnf(s12308,plain,
( spl2_202
| ~ spl2_191
| ~ spl2_16
| ~ spl2_19
| spl2_180
| ~ spl2_139
| spl2_47
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s45,s4516,s44,s5381,s5262,s8844,s8870,s8869,s5865,s1496,s3934,s4207,s656,s1500,s271,s4783,s657]) ).
cnf(s12309,plain,
( ~ spl2_191
| spl2_29
| spl2_180
| ~ spl2_17
| ~ spl2_139
| spl2_47
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5255,s11731,s604,s12308,s4803,s4783,s4060,s657,s5885,s7,s26]) ).
cnf(s12310,plain,
( spl2_98
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8870,s5369,s5865,s5849,s4207,s10692,s9788,s2031,s11367,s43,s10585,s269,s590,s12309,s1500,s271,s7,s10299,s5885,s26,s1055,s1029,s996,s12307,s656,s12305,s12296,s12279,s904,s12257,s11730,s4953,s12191]) ).
cnf(s12311,plain,
( spl2_202
| spl2_20
| spl2_139
| ~ spl2_180
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2848,s8844,s6993,s8869,s4096,s6675,s8870,s4007,s10735,s9362,s10511,s10394,s420,s12057,s245,s4759,s2025,s12056,s7605,s4903,s6476,s9496,s1347,s4390,s10964,s4128,s7276,s12053,s2058,s12049,s9228,s362,s236,s2739,s8,s2838,s271,s1496,s12310,s5664,s3619,s724,s11918,s11730,s3169,s8494,s4781,s11355,s10697,s22]) ).
cnf(s12312,plain,
( spl2_20
| spl2_139
| ~ spl2_180
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11237,s8,s5910,s236,s646,s3837,s9228,s9374,s11374,s12043,s9338,s12311,s10697,s11730,s12310,s20,s12191,s724]) ).
cnf(s12313,plain,
( spl2_139
| ~ spl2_180
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12,s236,s10383,s9228,s11922,s8305,s5512,s12025,s5603,s1207,s271,s5910,s11416,s4007,s307,s1496,s3837,s4320,s2025,s229,s3317,s11589,s11558,s241,s12312,s3169,s11918,s724,s11730,s12191,s12310,s22]) ).
cnf(s12314,plain,
( spl2_84
| ~ spl2_140
| ~ spl2_229
| spl2_202
| ~ spl2_14
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s4944,s10519,s3096,s4007,s749,s3837,s4320,s91]) ).
cnf(s12315,plain,
( spl2_202
| ~ spl2_191
| spl2_20
| ~ spl2_139
| ~ spl2_180
| ~ spl2_47
| ~ spl2_31
| ~ spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s6675,s8869,s10735,s8844,s10519,s1476,s859,s9086,s5383,s4939,s4759,s641,s2025,s229,s1751,s7605,s2111,s6476,s10962,s9496,s1347,s10964,s4664,s4128,s7276,s12053,s2058,s12314,s6115,s11005,s4207,s4211,s3619,s10697]) ).
cnf(s12316,plain,
( ~ spl2_191
| spl2_20
| ~ spl2_180
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4299,s4388,s4759,s10519,s2025,s4944,s5091,s1948,s5255,s8558,s12150,s12151,s3158,s2974,s5861,s4803,s3096,s8870,s8869,s7597,s3837,s4243,s4555,s11374,s12315,s11730,s12310,s22,s3619,s12313,s10697]) ).
cnf(s12317,plain,
( spl2_202
| spl2_20
| ~ spl2_180
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12143,s12053,s5383,s10288,s12314,s6115,s11129,s4210,s722,s4207,s11730,s4953,s12191,s12310,s22,s12313,s10697,s245,s781,s371,s5686,s9064,s5664,s3619,s8494,s4781,s1298,s445,s12316]) ).
cnf(s12318,plain,
( ~ spl2_211
| spl2_179
| spl2_191
| spl2_17
| spl2_93
| ~ spl2_38 ),
inference(rat,[],[s4290,s8868,s3841,s6627,s307,s3850,s22]) ).
cnf(s12319,plain,
( spl2_20
| ~ spl2_180
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1813,s10962,s8551,s7464,s2448,s12046,s4389,s330,s12318,s5350,s12198,s10964,s1902,s573,s10751,s6074,s5186,s10714,s8,s11694,s2642,s11804,s11237,s5027,s1364,s8947,s4295,s3096,s3377,s10291,s7596,s9715,s3837,s4243,s11374,s12317,s371,s245,s4759,s5686,s1751,s3816,s9064,s1366,s445,s12316,s10697,s11730,s4953,s12310,s20,s12191,s5664,s3619,s12313]) ).
cnf(s12320,plain,
( ~ spl2_180
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4939,s10519,s749,s641,s5910,s4007,s4207,s3837,s4320,s91,s229,s11589,s11558,s241,s12319,s12313,s11730,s12191,s12310]) ).
cnf(s12321,plain,
( ~ spl2_254
| spl2_30
| ~ spl2_278
| ~ spl2_324
| ~ spl2_94
| ~ spl2_128
| ~ spl2_712
| ~ spl2_244
| ~ spl2_149
| ~ spl2_345
| spl2_202
| ~ spl2_258
| spl2_139
| spl2_180
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4055,s3356,s4166,s10963,s8868,s4501,s8535,s8871,s9042,s330,s11747,s5012,s307,s4531,s1964,s4892,s9296,s6026,s1902,s6756,s5538,s10964,s12198,s12040,s9329,s8870,s1505,s1593,s5650,s12310,s656,s11918,s8538,s4953,s12191,s8869,s3866,s3816,s758,s11730,s8305,s1751,s2099,s12054,s22]) ).
cnf(s12322,plain,
( ~ spl2_278
| ~ spl2_324
| ~ spl2_94
| ~ spl2_128
| ~ spl2_712
| ~ spl2_149
| ~ spl2_345
| ~ spl2_18
| spl2_202
| ~ spl2_258
| spl2_139
| spl2_180
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8870,s8458,s1912,s307,s8516,s1964,s8792,s9296,s8547,s5254,s12321,s244,s4882,s7284,s12054,s9117,s22,s4783,s657,s4803,s4060,s11918,s8869,s3866,s3816,s758,s11730,s9228,s236,s724,s10383,s11786,s4953,s12191]) ).
cnf(s12323,plain,
( spl2_234
| spl2_132
| ~ spl2_149
| ~ spl2_345
| ~ spl2_18
| spl2_202
| ~ spl2_258
| spl2_139
| spl2_180
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8516,s1965,s8792,s8870,s6026,s9362,s9496,s1347,s8646,s4390,s2641,s4903,s9519,s9523,s12322,s859,s10714,s12310,s22,s8869,s3866,s3816,s758,s4754,s201,s6993,s5463,s4803,s4060,s11918,s11730,s9228,s236,s724]) ).
cnf(s12324,plain,
( spl2_139
| spl2_20
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9326,s8870,s9760,s8844,s6717,s10519,s2848,s8016,s12323,s6993,s5463,s7605,s8305,s2025,s9228,s12039,s236,s2058,s8,s12038,s271,s8869,s1496,s3866,s12037,s3816,s4803,s2522,s4060,s4551,s4339,s3169,s11918,s758,s724,s11730,s12310,s22,s12320,s10697]) ).
cnf(s12325,plain,
( ~ spl2_191
| ~ spl2_355
| ~ spl2_140
| spl2_202
| ~ spl2_14
| spl2_180
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5381,s8844,s5387,s8869,s2522,s3934,s4339]) ).
cnf(s12326,plain,
( ~ spl2_132
| ~ spl2_176
| ~ spl2_84
| spl2_748
| spl2_202
| ~ spl2_139
| spl2_180
| ~ spl2_47
| ~ spl2_33
| ~ spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9107,s6675,s10964,s10735,s6137,s538,s7956,s10519,s6387,s5369,s8869,s859,s8943,s8844,s9086,s5383,s4939,s10213,s4759,s641,s2025,s229,s424,s7605,s8870,s5865,s4207,s656]) ).
cnf(s12327,plain,
( spl2_234
| ~ spl2_128
| ~ spl2_254
| spl2_191
| ~ spl2_355
| ~ spl2_84
| spl2_748
| spl2_202
| ~ spl2_139
| spl2_180
| ~ spl2_98
| spl2_93 ),
inference(rat,[],[s8869,s12142,s8844,s11541,s5383,s6370,s6074]) ).
cnf(s12328,plain,
( ~ spl2_110
| ~ spl2_645
| spl2_177
| ~ spl2_476
| ~ spl2_269
| spl2_169
| spl2_90
| ~ spl2_195
| spl2_455
| ~ spl2_94
| spl2_10
| spl2_188
| ~ spl2_181
| ~ spl2_84
| spl2_202
| ~ spl2_139
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12050,s8871,s8868,s9263,s9719,s9034,s6898,s879,s4055,s3326,s12143,s553,s362,s4384,s7341,s10715,s6262,s2974,s581,s11730,s2058,s10964]) ).
cnf(s12329,plain,
( spl2_206
| ~ spl2_195
| spl2_455
| ~ spl2_74
| ~ spl2_181
| spl2_202
| ~ spl2_139
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11770,s2792,s319,s10963,s358,s12143,s1041,s11730]) ).
cnf(s12330,plain,
( ~ spl2_244
| spl2_208
| spl2_307
| spl2_455
| ~ spl2_278
| ~ spl2_234
| spl2_132
| ~ spl2_254
| spl2_10
| spl2_191
| ~ spl2_84
| spl2_202
| ~ spl2_139
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7955,s10963,s6627,s4937,s8868,s10962,s9034,s7578,s4441,s4085,s12328,s3897,s6675,s10238,s4388,s10735,s4768,s10964,s7835,s10519,s529,s6717,s6993,s7284,s6715,s12310,s2756,s445,s3850,s22,s9331,s4438,s5463,s4803,s5819,s10288,s11129,s4953,s12191,s8869,s1588,s8844,s8870,s5865,s4207,s656,s12320,s11730,s1751,s1366]) ).
cnf(s12331,plain,
( ~ spl2_278
| ~ spl2_74
| ~ spl2_254
| spl2_10
| spl2_191
| ~ spl2_84
| spl2_748
| spl2_202
| ~ spl2_139
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s252,s11786,s9086,s2031,s8943,s12330,s4055,s3326,s12329,s3675,s8869,s8844,s10288,s5383,s11129,s4953,s2058,s3816,s445,s12327,s201,s12326,s307,s3850,s22,s20,s12191,s8870,s5865,s4207,s656,s12320,s12310,s11730]) ).
cnf(s12332,plain,
( spl2_202
| spl2_20
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s4986,s12329,s8556,s10288,s11819,s5381,s1904,s229,s646,s4518,s1934,s641,s5255,s733,s12331,s4781,s1996,s573,s236,s2739,s8,s2838,s271,s1500,s3816,s6807,s3850,s445,s1770,s12325,s8870,s12314,s6115,s5865,s11005,s4803,s4207,s4211,s5819,s11730,s12310,s22,s656,s12320,s10697,s12324]) ).
cnf(s12333,plain,
( spl2_84
| ~ spl2_191
| ~ spl2_14
| spl2_180
| ~ spl2_31
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s5306,s7156,s5254,s12198,s5463,s5512,s3158,s8646,s10964,s3096,s3806,s10253,s4321,s3837,s4320,s4551,s2522,s4339,s4803,s4060]) ).
cnf(s12334,plain,
( ~ spl2_191
| ~ spl2_202
| ~ spl2_139
| ~ spl2_14
| spl2_180
| ~ spl2_47
| ~ spl2_31
| ~ spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8558,s5865,s12166,s8870,s3392,s12117,s680,s10213,s4759,s5686,s2025,s229,s1751,s5091,s1376,s3702,s11451,s6074,s7277,s379,s12333,s656,s7344]) ).
cnf(s12335,plain,
( ~ spl2_278
| ~ spl2_178
| spl2_84
| ~ spl2_254
| spl2_258
| spl2_300
| ~ spl2_181
| ~ spl2_202
| ~ spl2_139
| ~ spl2_47
| spl2_17
| ~ spl2_98
| ~ spl2_308
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8869,s9658,s3675,s7910,s6492,s7587,s11804,s10751,s1364,s8947,s11694,s7596,s5027,s4759,s5910,s10288,s2025,s229,s11129,s5091,s3837]) ).
cnf(s12336,plain,
( ~ spl2_132
| ~ spl2_589
| spl2_84
| spl2_20
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10333,s7464,s8200,s12046,s1142,s5186,s2448,s11804,s4389,s1364,s8947,s4299,s7596,s4759,s12164,s330,s6541,s12318,s9501,s5350,s1347,s10751,s8646,s11694,s5512,s5027,s362,s2739,s2838,s7344,s3377,s10964,s4321,s2974,s3158,s733,s12335,s3096,s3837,s573,s8,s271,s1500,s3850,s3816,s1366,s445,s12334,s10697,s12320,s22,s12332,s12324,s12310,s4953,s12191,s11730]) ).
cnf(s12337,plain,
( spl2_132
| ~ spl2_832
| spl2_278
| ~ spl2_556
| ~ spl2_139
| ~ spl2_98 ),
inference(rat,[],[s9354,s2614,s6074,s6370,s5463,s201,s5255]) ).
cnf(s12338,plain,
( spl2_234
| ~ spl2_196
| ~ spl2_203
| spl2_363
| spl2_278
| ~ spl2_98
| spl2_93 ),
inference(rat,[],[s4389,s2448,s4903,s8551,s9523,s10714]) ).
cnf(s12339,plain,
( spl2_84
| spl2_20
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12164,s6541,s9715,s12056,s3897,s1364,s4388,s10519,s12338,s10603,s330,s12318,s5350,s5381,s4945,s10751,s8870,s8646,s11694,s12336,s5512,s5027,s12337,s4518,s8512,s5255,s12335,s3158,s10964,s4803,s3096,s4321,s7597,s3893,s3837,s4953,s12191,s765,s7344,s1366,s573,s8,s271,s1500,s3850,s3816,s445,s12334,s12332,s12324,s10697,s12320,s22,s12310,s11730]) ).
cnf(s12340,plain,
( spl2_355
| spl2_204
| ~ spl2_132
| ~ spl2_207
| ~ spl2_324
| ~ spl2_176
| spl2_356
| ~ spl2_181
| spl2_93 ),
inference(rat,[],[s5512,s8646,s3056,s4772,s10964,s9367,s1902,s8870]) ).
cnf(s12341,plain,
( spl2_20
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7901,s12142,s8869,s8844,s5383,s6115,s9734,s8700,s12340,s10288,s11129,s4791,s11451,s6074,s859,s10714,s7277,s379,s12339,s573,s8,s271,s1500,s307,s1751,s3816,s3850,s1366,s445,s12334,s12332,s12324,s10697,s11730,s4953,s12191,s12310,s22,s12320]) ).
cnf(s12342,plain,
( ~ spl2_589
| ~ spl2_333
| spl2_202
| spl2_139
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8871,s12225,s3929,s11747,s11507,s5012,s3478,s307,s3741,s1964,s7156,s2157,s5306,s519,s4802,s9329,s22,s656,s371,s659,s245,s12021,s1347,s8975,s4759,s4657,s3392,s12310,s5195,s8869,s3858,s12320,s680,s5686,s2025,s241,s12191,s5655,s4105,s12341,s11918,s11730]) ).
cnf(s12343,plain,
( ~ spl2_278
| spl2_202
| spl2_139
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5381,s8844,s8870,s12342,s10268,s5388,s12054,s22,s659,s245,s8869,s3858,s12320,s680,s5686,s2025,s241,s12191,s5655,s4105,s12341,s11918,s11730]) ).
cnf(s12344,plain,
( spl2_202
| spl2_139
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1505,s8870,s1593,s9326,s5255,s12343,s5650,s8869,s3858,s9764,s4657,s3392,s680,s5686,s5655,s4105,s2025,s241,s12341,s12191,s4803,s4060,s11918,s11730,s12320]) ).
cnf(s12345,plain,
( spl2_139
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12028,s11750,s11747,s6492,s379,s12344,s10751,s3289,s2058,s12021,s1347,s10288,s4657,s8975,s3169,s11918,s11730,s12310,s22,s4759,s371,s3392,s680,s5686,s5655,s4105,s12320,s2025,s241,s12341,s12191]) ).
cnf(s12346,plain,
( spl2_202
| ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s469,s11770,s10751,s4055,s11377,s3289,s12329,s445,s2058,s5381,s12117,s10288,s12135,s12175,s8870,s11129,s859,s8943,s4803,s4362,s722,s9086,s5819,s1263,s11730,s4953,s12310,s229,s4781,s72,s4759,s245,s10213,s12320,s781,s5686,s2025,s241,s12191,s5655,s4105,s12341,s12345]) ).
cnf(s12347,plain,
( ~ spl2_84
| ~ spl2_202
| ~ spl2_139
| ~ spl2_20
| ~ spl2_47
| ~ spl2_98 ),
inference(rat,[],[s1926,s6074,s10715,s379,s310,s4354,s4105]) ).
cnf(s12348,plain,
( ~ spl2_47
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12046,s330,s12027,s12318,s6492,s5350,s10751,s8975,s11694,s1347,s10715,s8646,s1926,s12158,s6074,s5186,s11804,s4388,s5027,s8947,s4295,s10964,s4803,s3377,s10291,s7596,s9715,s4321,s7597,s3837,s12347,s10288,s4354,s349,s12346,s12345,s371,s245,s4759,s5686,s5655,s2025,s4105,s241,s12341,s12320,s11730,s4953,s12191,s12310,s22]) ).
cnf(s12349,plain,
( spl2_202
| spl2_139
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s9329,s4772,s8870,s8646,s10714,s10964,s1505,s5512,s10511,s4089,s1593,s5650,s170,s504,s8869,s4783,s12023,s3934,s657,s656,s650,s12085,s5603,s1207,s11499,s4007,s271,s9228,s12081,s1496,s11912,s1263,s12310,s904,s12348,s724,s11918,s11730,s3169,s22]) ).
cnf(s12350,plain,
( spl2_84
| spl2_18
| spl2_244
| ~ spl2_195
| spl2_139
| spl2_47
| spl2_17
| ~ spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s12264,s4782,s8547,s5254,s3142,s650,s11868,s10383,s11786,s12054,s245,s5255,s10291,s4803,s11237,s7597,s3861,s4320,s4953,s22,s20,s1222,s11499]) ).
cnf(s12351,plain,
( ~ spl2_188
| ~ spl2_203
| ~ spl2_258
| ~ spl2_14
| ~ spl2_169
| ~ spl2_255
| spl2_254
| ~ spl2_119
| spl2_47
| ~ spl2_308
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8871,s9632,s8084,s1906,s427,s2519,s4044,s4803,s154,s5254,s3096,s5749,s2642,s2435,s1968,s4715,s8646]) ).
cnf(s12352,plain,
( ~ spl2_371
| spl2_471
| ~ spl2_355
| ~ spl2_258
| ~ spl2_14
| ~ spl2_255
| ~ spl2_119
| spl2_244 ),
inference(rat,[],[s154,s10234,s3096,s8844,s1592]) ).
cnf(s12353,plain,
( ~ spl2_14
| spl2_254
| spl2_139
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8869,s7901,s12352,s4945,s8870,s9367,s307,s12351,s11778,s2522,s4953,s9499,s4782,s1222,s9496,s10964,s6756,s4650,s10250,s504,s12350,s236,s9228,s724,s604,s12349,s10288,s3169,s22,s12191,s12348,s11918,s11730,s12310]) ).
cnf(s12354,plain,
( spl2_269
| ~ spl2_203
| ~ spl2_169
| ~ spl2_255
| spl2_254
| ~ spl2_119
| spl2_47
| ~ spl2_98
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9632,s8871,s912,s8084,s4633,s427,s2519,s4044,s4803,s5254]) ).
cnf(s12355,plain,
( ~ spl2_589
| spl2_456
| ~ spl2_333
| spl2_179
| spl2_593
| spl2_204 ),
inference(rat,[],[s2435,s4715,s307,s9505,s9367]) ).
cnf(s12356,plain,
( ~ spl2_278
| ~ spl2_355
| ~ spl2_269
| spl2_179
| spl2_140
| spl2_593
| ~ spl2_195
| ~ spl2_33
| spl2_93 ),
inference(rat,[],[s12264,s5374]) ).
cnf(s12357,plain,
( ~ spl2_180
| spl2_139
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7901,s8869,s9271,s8844,s5375,s9792,s9519,s12356,s6744,s4945,s5633,s8870,s12355,s5749,s12354,s10268,s330,s8547,s2469,s11747,s10383,s6063,s11367,s1029,s10697,s12353,s4699,s10964,s9496,s6756,s4650,s4782,s650,s4953,s20,s11918,s1222,s8943,s10250,s172,s8947,s504,s12350,s236,s9228,s724,s604,s12349,s10288,s3169,s22,s12191,s11730,s12348,s12310]) ).
cnf(s12358,plain,
( spl2_139
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2519,s1508,s11841,s10428,s374,s10383,s7089,s666,s11786,s8868,s646,s8646,s12078,s330,s715,s12056,s11747,s9271,s6492,s5375,s10751,s10964,s3848,s1911,s3377,s3476,s154,s155,s10232,s5186,s12054,s10394,s5255,s170,s9464,s4803,s4783,s1500,s4060,s657,s4339,s656,s12357,s8947,s10250,s2017,s504,s12350,s271,s11499,s236,s9228,s604,s12349,s10288,s3169,s11918,s724,s11730,s4953,s12310,s22,s20,s12191,s904,s12348]) ).
cnf(s12359,plain,
( ~ spl2_84
| ~ spl2_180
| ~ spl2_191
| spl2_202
| ~ spl2_139
| spl2_47
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s9086,s8943,s4759,s12179,s12174,s424,s10250,s170,s504,s4207,s4783,s720,s4803,s5819]) ).
cnf(s12360,plain,
( ~ spl2_180
| ~ spl2_191
| spl2_202
| spl2_299
| ~ spl2_139
| spl2_47
| ~ spl2_33
| ~ spl2_31
| ~ spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11156,s11499,s9715,s11237,s4303,s4809,s10964,s5874,s1845,s4007,s749,s4320,s91,s12359,s8869,s5292,s9499,s8545,s650,s1263,s4207]) ).
cnf(s12362,plain,
( spl2_244
| ~ spl2_455
| ~ spl2_119
| ~ spl2_132
| ~ spl2_556
| ~ spl2_139
| ~ spl2_98 ),
inference(rat,[],[s2848,s6074,s4939,s5093,s5255]) ).
cnf(s12363,plain,
( ~ spl2_191
| spl2_202
| spl2_299
| ~ spl2_139
| spl2_47
| ~ spl2_33
| ~ spl2_31
| ~ spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9523,s12175,s12180,s12362,s5381,s8844,s424,s8947,s10250,s8870,s170,s504,s8869,s5865,s12023,s3934,s656,s12360,s904,s4207,s4783,s720,s4803,s5819]) ).
cnf(s12364,plain,
( spl2_84
| ~ spl2_244
| ~ spl2_19
| ~ spl2_556
| ~ spl2_229
| spl2_202
| ~ spl2_33
| ~ spl2_98
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s7629,s2614,s5463,s3782,s749,s11237,s4320,s91]) ).
cnf(s12365,plain,
( spl2_254
| spl2_202
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10335,s12182,s294,s9523,s4650,s4605,s6137,s8947,s10250,s9419,s170,s504,s12364,s646,s641,s5255,s11129,s1496,s271,s11499,s573,s4953,s4207,s4783,s720,s4803,s5819,s3816,s445,s307,s3850,s12363,s2756,s12358,s12348,s20,s12310,s12191,s11730,s22]) ).
cnf(s12366,plain,
( spl2_202
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s538,s12056,s5369,s5093,s8646,s9523,s6074,s10964,s1390,s2642,s4089,s4007,s424,s5027,s1199,s8947,s10250,s233,s12081,s170,s504,s236,s12141,s11499,s8870,s271,s5865,s1500,s656,s650,s12365,s3850,s12363,s4783,s4207,s720,s11730,s4953,s12310,s22,s20,s12191,s12348,s2756,s12358]) ).
cnf(s12367,plain,
( spl2_84
| ~ spl2_355
| spl2_254
| spl2_244
| spl2_150
| ~ spl2_33
| spl2_17
| ~ spl2_98
| ~ spl2_308
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s8869,s7901,s8844,s9271,s10288,s5381,s5374,s11129,s5388,s5255,s5178,s4803,s680,s7597,s3893,s997,s4782,s1222]) ).
cnf(s12368,plain,
( ~ spl2_180
| ~ spl2_191
| ~ spl2_202
| ~ spl2_139
| spl2_47
| ~ spl2_33
| spl2_17
| ~ spl2_98
| ~ spl2_308
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s643,s641,s5750,s6482,s5805,s8869,s4791,s8844,s10519,s2848,s6413,s1487,s4945,s4699,s10964,s9496,s6756,s4650,s6074,s10250,s11448,s504,s12367,s8870,s5861,s4782,s650,s904,s1222,s8943,s8558,s604]) ).
cnf(s12369,plain,
( spl2_84
| ~ spl2_355
| spl2_180
| ~ spl2_191
| spl2_244
| spl2_47
| ~ spl2_33
| spl2_17
| ~ spl2_98
| ~ spl2_308
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11156,s11868,s5463,s4759,s1029,s8646,s12198,s12021,s10697,s10964,s10253,s12367,s12333,s4321,s3861,s4320,s22,s904,s4551,s4803,s4060]) ).
cnf(s12370,plain,
( ~ spl2_191
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11768,s11367,s4010,s10697,s10519,s11783,s4939,s6074,s10828,s170,s11448,s504,s12369,s11129,s5255,s8870,s4803,s4783,s5865,s4060,s657,s656,s12368,s11730,s4953,s12310,s20,s12191,s1222,s8943,s8558,s604,s12366,s12348,s12358]) ).
cnf(s12371,plain,
( spl2_84
| ~ spl2_19
| ~ spl2_229
| spl2_226
| ~ spl2_202
| ~ spl2_139
| ~ spl2_33
| ~ spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11753,s4791,s4803,s749,s11237,s7597,s91]) ).
cnf(s12372,plain,
( ~ spl2_589
| spl2_254
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12318,s330,s8547,s11769,s10383,s4803,s1029,s5255,s10697,s11129,s2522,s9367,s9513,s4953,s307,s3850,s22,s4782,s1222,s10250,s504,s6074,s11448,s12371,s11499,s573,s3816,s445,s12370,s8558,s8943,s604,s20,s12191,s11730,s12348,s12366,s12310,s12358]) ).
cnf(s12373,plain,
( ~ spl2_278
| ~ spl2_132
| ~ spl2_355
| ~ spl2_234
| spl2_593
| spl2_188
| spl2_17
| ~ spl2_308
| spl2_93 ),
inference(rat,[],[s8869,s8844,s7901,s2848,s10288,s4939,s11129]) ).
cnf(s12374,plain,
( spl2_278
| spl2_254
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8547,s12318,s10383,s330,s11786,s11769,s646,s4803,s641,s5255,s4953,s1222,s10250,s504,s6074,s11448,s12371,s11499,s573,s3816,s445,s12370,s8558,s8943,s604,s20,s12191,s11730,s12348,s12366,s12310,s12358]) ).
cnf(s12375,plain,
( spl2_254
| spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5388,s5381,s4768,s8844,s4945,s8869,s10519,s7901,s4791,s10288,s12373,s11129,s12374,s8870,s12372,s6074,s11448,s12371,s11499,s573,s4782,s8545,s11730,s4953,s12310,s20,s12191,s2756,s1222,s8943,s8558,s604,s12366,s12348,s12358,s3850,s22,s3816,s445,s12370]) ).
cnf(s12376,plain,
( spl2_84
| spl2_748
| spl2_180
| spl2_258
| spl2_244
| ~ spl2_139
| spl2_17
| ~ spl2_98
| ~ spl2_308
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11786,s2031,s9715,s3675,s3897,s8869,s4388,s8844,s10288,s10519,s5383,s11129,s4945,s5255,s10964,s4803,s749,s4321,s7597,s91,s8870,s5865,s656,s8558]) ).
cnf(s12377,plain,
( spl2_17
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8646,s7814,s5512,s8869,s4791,s10735,s8844,s10964,s10519,s2848,s4089,s4944,s3158,s6074,s233,s1199,s11448,s504,s12376,s6115,s9734,s236,s11499,s8870,s271,s5865,s1500,s656,s650,s12375,s3816,s3850,s445,s12370,s8558,s8943,s604,s12366,s12358,s12348,s22,s11730,s4953,s12191,s12310]) ).
cnf(s12379,plain,
( spl2_178
| ~ spl2_118
| spl2_84
| ~ spl2_47
| ~ spl2_17
| ~ spl2_98
| spl2_26 ),
inference(rat,[],[s2025,s241,s4759,s10697,s7596,s3096,s851]) ).
cnf(s12380,plain,
( spl2_84
| ~ spl2_191
| spl2_202
| spl2_139
| ~ spl2_47
| ~ spl2_17
| ~ spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11969,s2025,s5910,s241,s35,s988,s5885,s11676,s12379,s3837,s724]) ).
cnf(s12381,plain,
( ~ spl2_180
| ~ spl2_191
| spl2_202
| spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s10234,s11722,s4939,s10488,s11927,s3169,s5255,s6476,s10514,s4803,s1496,s5148,s1347,s10964,s1498,s1041,s8212,s3915,s4781,s4128,s7276,s12053,s11558,s12227,s3619,s4953,s724,s1263,s2058,s12380,s12377,s12310,s12191,s11730]) ).
cnf(s12382,plain,
( spl2_144
| spl2_180
| ~ spl2_84
| ~ spl2_191
| spl2_202
| ~ spl2_47
| ~ spl2_17
| ~ spl2_98
| ~ spl2_308
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s5874,s8646,s4009,s10964,s5848,s1436,s9326,s307,s3478,s8870,s1964,s6803,s1055,s1965,s2157,s310,s996,s2161,s3915,s2154,s12228,s524,s5643,s526,s1347,s8545,s8975,s5749,s9764,s4759,s715,s2025,s229,s4339,s8869,s3934]) ).
cnf(s12383,plain,
( ~ spl2_191
| spl2_202
| spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5392,s12228,s1496,s2522,s3915,s10697,s241,s12382,s8869,s3934,s4339,s12381,s12380,s11730,s4953,s12191,s12310,s12377]) ).
cnf(s12384,plain,
( spl2_84
| spl2_202
| spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11964,s11931,s4759,s10714,s5512,s2025,s11416,s5910,s241,s996,s35,s988,s5885,s11676,s5603,s12379,s4007,s3837,s4320,s12191,s12310,s12377,s724,s8869,s5195,s445,s12383,s11730]) ).
cnf(s12385,plain,
( ~ spl2_180
| spl2_202
| spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s73,s12227,s1298,s12377,s445,s12383,s12384]) ).
cnf(s12386,plain,
( spl2_20
| spl2_149
| ~ spl2_244
| ~ spl2_593
| spl2_180
| spl2_202
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s1200,s4802,s1503,s1502,s5078,s456,s1496,s3956,s3915]) ).
cnf(s12387,plain,
( spl2_204
| ~ spl2_255
| spl2_197
| ~ spl2_548
| ~ spl2_117
| ~ spl2_20
| ~ spl2_132
| spl2_180
| ~ spl2_590
| spl2_191
| ~ spl2_141
| ~ spl2_250
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s1964,s3621,s2157,s4437,s508,s12011,s3675,s4618,s10288,s12377,s4400,s7815,s5865,s656,s8870,s3760,s11730]) ).
cnf(s12388,plain,
( ~ spl2_278
| ~ spl2_16
| ~ spl2_548
| ~ spl2_77
| ~ spl2_117
| ~ spl2_20
| ~ spl2_132
| spl2_180
| ~ spl2_84
| spl2_191
| ~ spl2_141
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s11992,s1237,s5885,s43,s642,s12387,s9788,s5642,s7579,s9033,s4772,s6492,s10714,s10394,s12191,s12377,s758,s7903,s9325,s5292,s7815,s5865,s656,s8870,s3760,s724,s8869,s5195,s445,s11730,s996]) ).
cnf(s12389,plain,
( ~ spl2_132
| spl2_202
| spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s269,s1690,s351,s10830,s10633,s9523,s10792,s12388,s7,s5995,s3478,s4170,s10751,s6803,s851,s10715,s3289,s310,s12386,s2025,s7605,s12191,s12310,s12377,s2058,s12384,s7903,s9325,s656,s12385,s5292,s8869,s5195,s445,s1263,s8870,s3760,s12383,s724,s11730]) ).
cnf(s12390,plain,
( spl2_20
| ~ spl2_593
| spl2_180
| spl2_202
| spl2_139
| ~ spl2_17
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s4802,s10268,s1502,s1690,s269,s10332,s1496,s988,s3915]) ).
cnf(s12391,plain,
( spl2_202
| spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5995,s7,s4170,s9732,s3289,s310,s12390,s12389,s7903,s12385,s2058,s12384,s8869,s5195,s445,s12383,s1263,s11730,s12191,s12310,s12377]) ).
cnf(s12392,plain,
( spl2_84
| spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5254,s3622,s5749,s12355,s8870,s4772,s3759,s10714,s12214,s8646,s11869,s10511,s5938,s10964,s10268,s4009,s3392,s4321,s4354,s349,s11589,s3921,s3915,s3478,s3949,s1497,s6565,s4170,s11694,s2642,s11879,s5027,s8947,s4803,s12379,s10291,s7596,s7597,s3893,s3837,s91,s11730,s4953,s12191,s12310,s12377,s724,s4759,s245,s680,s5686,s9374,s9338,s7344,s12391]) ).
cnf(s12393,plain,
( spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s7395,s10268,s11756,s1690,s4351,s445,s10830,s1501,s12014,s10486,s394,s3009,s4170,s5995,s456,s12230,s9075,s3956,s8494,s3915,s10714,s11905,s7277,s379,s11374,s12392,s4759,s9374,s4781,s9338,s805,s12391,s11730,s12310,s12377]) ).
cnf(s12394,plain,
( spl2_84
| ~ spl2_229
| ~ spl2_230
| spl2_202
| ~ spl2_47
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s229,s5910,s241,s5027,s11005,s2642,s4944,s1845,s10519,s12379,s4007,s749,s3837,s4320,s91,s4953]) ).
cnf(s12395,plain,
( ~ spl2_180
| ~ spl2_84
| spl2_202
| ~ spl2_139
| ~ spl2_47
| ~ spl2_17
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s2457,s10962,s1503,s1496,s1498,s4664,s11005,s3915,s12053,s11558,s4211]) ).
cnf(s12396,plain,
( spl2_20
| ~ spl2_355
| spl2_180
| ~ spl2_230
| spl2_202
| ~ spl2_17
| ~ spl2_4 ),
inference(rat,[],[s5262,s1503,s1500,s1496,s11005,s3915]) ).
cnf(s12397,plain,
( spl2_202
| ~ spl2_139
| ~ spl2_47
| ~ spl2_17
| ~ spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s1690,s5078,s10830,s5885,s10519,s271,s4939,s12255,s9732,s6186,s859,s8943,s7,s9086,s5995,s4759,s641,s4170,s6803,s2025,s229,s3289,s310,s241,s12396,s8870,s5865,s656,s12395,s2058,s12394,s4207,s4211]) ).
cnf(s12398,plain,
( spl2_132
| ~ spl2_556
| ~ spl2_70
| ~ spl2_118
| ~ spl2_202
| ~ spl2_139
| ~ spl2_47
| ~ spl2_98 ),
inference(rat,[],[s12337,s8512,s5091,s229,s5910,s765,s7344]) ).
cnf(s12399,plain,
( spl2_84
| ~ spl2_202
| ~ spl2_139
| ~ spl2_47
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s1845,s12169,s4009,s4354,s349,s4105,s3915,s3478,s1497,s6565,s2642,s11694,s5027,s12398,s4803,s12379,s7597,s3893,s3837,s4953]) ).
cnf(s12400,plain,
( ~ spl2_139
| ~ spl2_47
| ~ spl2_4
| ~ spl2_17
| ~ spl2_98
| spl2_26
| spl2_93 ),
inference(rat,[],[s642,s11285,s452,s9075,s4759,s2025,s5091,s11451,s12347,s379,s12399,s12397]) ).
cnf(s12401,plain,
( ~ spl2_47
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12400,s12393,s11730,s12191,s12310,s12377]) ).
cnf(s12402,plain,
( spl2_20
| spl2_84
| spl2_202
| ~ spl2_17
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s11980,s988,s3915,s10697]) ).
cnf(s12403,plain,
( spl2_84
| spl2_202
| spl2_139
| spl2_47
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s5848,s7587,s10792,s9300,s1503,s6803,s1496,s9732,s10619,s11676,s271,s7,s5885,s26,s10383,s1055,s1029,s996,s12402,s4007,s4320,s4953]) ).
cnf(s12404,plain,
( ~ spl2_180
| ~ spl2_191
| spl2_44
| ~ spl2_132
| spl2_20
| ~ spl2_119
| spl2_47
| ~ spl2_17
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s453,s4715,s9075,s2522,s4759,s9499,s12174,s650,s10697,s4803,s8212]) ).
cnf(s12405,plain,
( spl2_20
| spl2_202
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2522,s4339,s1502,s12404,s12013,s1948,s1503,s269,s10332,s10769,s988,s1941,s3915,s10697,s11730,s1263,s4605,s10250,s504,s12403,s12377,s12310,s12191,s12401]) ).
cnf(s12406,plain,
( spl2_202
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s269,s10486,s10332,s9300,s5885,s10383,s1029,s12405,s504,s12403,s12191,s12310,s12377,s12401]) ).
cnf(s12407,plain,
( spl2_20
| spl2_84
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s5195,s8869,s445,s7901,s11882,s2435,s1565,s10288,s10383,s2738,s5749,s5027,s4996,s642,s394,s4782,s5254,s11694,s1504,s650,s1497,s3096,s12168,s3915,s10697,s11730,s4953,s1222,s3837,s405,s11880,s12377,s12191,s5255,s4803,s7597,s12310,s604,s12406,s12401]) ).
cnf(s12408,plain,
( ~ spl2_132
| spl2_378
| spl2_29
| spl2_84
| ~ spl2_202
| spl2_47
| ~ spl2_17
| ~ spl2_98
| ~ spl2_308
| ~ spl2_4 ),
inference(rat,[],[s10830,s1846,s1819,s1156,s1125,s1003,s45,s9300,s44,s6803,s2096,s11879,s5027,s3893,s11880,s4783,s10296,s10383,s7,s26,s10280,s5885]) ).
cnf(s12409,plain,
( spl2_84
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8870,s12355,s5749,s3760,s8547,s4782,s5254,s11882,s650,s1565,s11885,s816,s642,s11694,s1003,s43,s9732,s10769,s10693,s12408,s10268,s10280,s271,s7,s882,s5885,s26,s10383,s2738,s261,s8852,s1029,s12407,s5255,s405,s4803,s11880,s7597,s3893,s11730,s4953,s12191,s12310,s12377,s724,s1222,s604,s12406,s12401]) ).
cnf(s12410,plain,
( spl2_20
| spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s12014,s12404,s1074,s45,s10598,s44,s394,s10383,s7,s9300,s5995,s6565,s4170,s10751,s11694,s9419,s405,s3096,s11874,s154,s10232,s10714,s10394,s5255,s5027,s4803,s4783,s10769,s8494,s8212,s988,s422,s1941,s3915,s10697,s11730,s4953,s12191,s12310,s12377,s604,s4781,s805,s11448,s12406,s10250,s504,s12409,s12401]) ).
cnf(s12411,plain,
( spl2_139
| ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s8606,s8293,s2519,s10963,s485,s431,s5758,s330,s11378,s4783,s10288,s170,s351,s5027,s269,s11694,s10486,s6565,s6803,s9300,s684,s5885,s10383,s1029,s12410,s504,s12409,s1222,s604,s12406,s758,s4953,s12191,s12310,s12377,s904,s12401]) ).
cnf(s12412,plain,
( spl2_202
| spl2_84
| ~ spl2_139
| spl2_47
| ~ spl2_17
| ~ spl2_98
| ~ spl2_4 ),
inference(rat,[],[s44,s45,s10619,s7,s2789,s5885,s26,s10519,s1029,s749,s4007,s12402,s4207,s91,s4320,s4783,s10296]) ).
cnf(s12413,plain,
( spl2_84
| ~ spl2_139
| spl2_47
| ~ spl2_17
| ~ spl2_98
| spl2_26
| ~ spl2_4 ),
inference(rat,[],[s3096,s1504,s3915,s10697,s394,s1029,s11731,s5255,s604,s12412,s405,s4803,s4783,s11880,s7597,s10296,s3837]) ).
cnf(s12414,plain,
( spl2_20
| ~ spl2_556
| ~ spl2_230
| spl2_202
| spl2_94
| ~ spl2_17
| ~ spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s9300,s10383,s707,s5078,s9523,s5255,s1503,s12255,s1496,s11005,s3915,s8947]) ).
cnf(s12415,plain,
( spl2_202
| ~ spl2_139
| spl2_47
| ~ spl2_17
| ~ spl2_98
| spl2_26
| spl2_93
| ~ spl2_4 ),
inference(rat,[],[s11694,s6565,s6803,s9300,s10383,s1029,s12414,s5027,s170,s4803,s4783,s4211,s5819,s720,s4953,s504,s12413]) ).
cnf(s12416,plain,
( ~ spl2_4
| ~ spl2_38 ),
inference(rat,[],[s2061,s6645,s1334,s4759,s11731,s9075,s5255,s11741,s4803,s4783,s10769,s1948,s8212,s422,s1941,s10697,s11774,s6074,s8558,s11448,s604,s12415,s504,s12413,s12411,s12401,s12377,s12310,s12191,s11730]) ).
cnf(s12417,plain,
( spl2_98
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s8,s1199,s10280,s2974,s4776,s118,s161,s186,s22,s10697,s72,s1259,s12416]) ).
cnf(s12418,plain,
( ~ spl2_156
| ~ spl2_278
| spl2_363
| spl2_110
| ~ spl2_132
| spl2_202
| spl2_84
| ~ spl2_139 ),
inference(rat,[],[s4388,s10418,s4299,s9086]) ).
cnf(s12419,plain,
( ~ spl2_278
| spl2_204
| ~ spl2_94
| ~ spl2_18
| ~ spl2_132
| ~ spl2_26
| spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s11145,s11144,s11141,s4869,s4759,s12418,s10603,s5383,s11355,s10697,s72,s12417,s11094,s22,s7024,s2855,s1996,s1272,s1449,s234,s236,s4776,s5512,s1857,s1259,s12416]) ).
cnf(s12420,plain,
( spl2_278
| spl2_363
| ~ spl2_117
| ~ spl2_55
| ~ spl2_18
| spl2_15
| ~ spl2_26
| ~ spl2_98
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s2448,s4389,s11105,s4903,s10603,s9523,s12338,s11251,s10791,s1272]) ).
cnf(s12421,plain,
( spl2_178
| spl2_92
| ~ spl2_132
| ~ spl2_26
| spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s12419,s11129,s12420,s5512,s1857,s1199,s10715,s1617,s2466,s11352,s11687,s5118,s2756,s11355,s22,s5995,s4170,s12417,s1449,s234,s236,s8,s10280,s10697,s72,s1259,s12416]) ).
cnf(s12422,plain,
( ~ spl2_278
| ~ spl2_94
| ~ spl2_18
| ~ spl2_132
| ~ spl2_26
| spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s12419,s11129,s1617,s2466,s22,s11352,s11687,s12416]) ).
cnf(s12423,plain,
( spl2_278
| spl2_363
| spl2_250
| ~ spl2_55
| ~ spl2_18
| spl2_15
| spl2_346
| ~ spl2_26
| ~ spl2_98
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s2448,s11109,s4389,s4390,s4903,s10603,s9062,s9523,s12338,s11251,s10791,s1770,s1272]) ).
cnf(s12424,plain,
( spl2_92
| ~ spl2_132
| ~ spl2_26
| spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s11145,s11144,s11141,s4869,s4759,s10603,s12418,s5383,s11129,s12423,s2642,s2974,s12421,s1272,s2855,s7024,s1449,s1996,s234,s11094,s236,s8,s5995,s10280,s4170,s5118,s2756,s11355,s10697,s72,s1259,s12417,s5027,s1617,s2466,s22,s11352,s11687,s12416]) ).
cnf(s12425,plain,
( ~ spl2_278
| ~ spl2_132
| ~ spl2_26
| spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s12422,s129,s8,s271,s1496,s11129,s10697,s72,s1259,s2096,s12424,s5027,s1617,s2466,s22,s11352,s11687,s12416]) ).
cnf(s12426,plain,
( spl2_204
| spl2_363
| spl2_278
| ~ spl2_117
| ~ spl2_26
| spl2_202
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s6807,s1996,s12420,s236,s8,s271,s1496,s452,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417]) ).
cnf(s12427,plain,
( ~ spl2_204
| spl2_278
| ~ spl2_120
| ~ spl2_117
| spl2_44
| ~ spl2_26
| spl2_202
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s10456,s10962,s10963,s9223,s7395,s1906,s8725,s1041,s3841,s2978,s1270,s330,s11137,s7589,s5995,s10793,s10791,s10268,s3122,s1690,s11355,s10697,s72,s1259,s22,s12417,s1263,s6545,s641,s11353,s12416]) ).
cnf(s12428,plain,
( ~ spl2_132
| ~ spl2_26
| spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s129,s1857,s8,s5512,s271,s12426,s1496,s12427,s12425,s230,s3096,s10715,s11694,s2096,s12424,s5027,s10697,s72,s1259,s1617,s2466,s22,s11352,s11687,s12416,s91]) ).
cnf(s12429,plain,
( spl2_234
| spl2_363
| ~ spl2_196
| ~ spl2_191
| spl2_181
| spl2_250
| spl2_455
| spl2_132
| ~ spl2_98
| spl2_299
| ~ spl2_139 ),
inference(rat,[],[s11232,s11231,s8551,s9062,s6074,s10714,s5118]) ).
cnf(s12430,plain,
( spl2_363
| spl2_181
| spl2_250
| ~ spl2_55
| spl2_455
| ~ spl2_18
| ~ spl2_16
| ~ spl2_278
| spl2_132
| ~ spl2_98
| spl2_299
| ~ spl2_139
| ~ spl2_40 ),
inference(rat,[],[s4937,s10963,s10962,s7033,s7119,s10735,s11115,s11178,s12429,s4754,s2850,s1770,s10603,s1272]) ).
cnf(s12431,plain,
( spl2_234
| ~ spl2_94
| ~ spl2_363
| ~ spl2_278
| ~ spl2_712
| spl2_202
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s2641,s6993,s8511,s11713,s859,s11355,s10697,s72,s1259,s12416,s22,s12417]) ).
cnf(s12432,plain,
( spl2_301
| ~ spl2_346
| ~ spl2_363
| ~ spl2_55
| spl2_455
| spl2_132
| spl2_299
| ~ spl2_139 ),
inference(rat,[],[s11458,s8081,s7030,s8869,s10963,s8844,s4937,s11249,s8870,s10962,s5867,s7119,s9760,s10735,s5118,s4754,s1770,s1272]) ).
cnf(s12433,plain,
( ~ spl2_278
| spl2_132
| ~ spl2_26
| spl2_202
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s11139,s8551,s4944,s6074,s859,s10714,s2641,s11062,s12432,s2642,s12430,s10603,s1272,s2855,s7024,s1449,s5383,s1996,s234,s11094,s236,s8,s9732,s271,s13,s1496,s452,s11129,s1617,s2466,s11352,s11687,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417,s1263]) ).
cnf(s12434,plain,
( ~ spl2_18
| spl2_278
| spl2_132
| ~ spl2_26
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s9734,s11741,s6993,s13,s1390,s9733,s4995,s11356,s4869,s4759,s4304,s10964,s2641,s11252,s9795,s6937,s11251,s1272,s1770,s1449,s234,s236,s5118,s2756,s5366,s2464,s11352,s11687,s6074,s6370,s201,s12417,s11355,s10697,s72,s1259,s12416,s22]) ).
cnf(s12435,plain,
( ~ spl2_26
| spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s463,s12427,s1504,s2590,s1496,s10280,s271,s8,s12434,s6074,s6370,s12433,s230,s5910,s201,s12428,s11353,s11355,s10697,s72,s1259,s12416,s22,s12417,s91]) ).
cnf(s12436,plain,
( spl2_234
| ~ spl2_278
| ~ spl2_18
| ~ spl2_132
| spl2_202
| ~ spl2_75
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s252,s11097,s9086,s8551,s6074,s859,s10714,s1617,s2466,s11352,s11687,s12417,s1263,s10603,s5383,s11094,s11355,s10697,s72,s1259,s22,s1272,s1449,s234,s236,s12416]) ).
cnf(s12437,plain,
( ~ spl2_278
| ~ spl2_132
| spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s11145,s11144,s4869,s9715,s3897,s4388,s10519,s12436,s4939,s11129,s11355,s12417,s91,s1449,s234,s7024,s1996,s236,s8,s11237,s12435,s9165,s1617,s2466,s22,s11352,s11687,s10697,s72,s1259,s12416]) ).
cnf(s12438,plain,
( spl2_234
| spl2_278
| spl2_250
| ~ spl2_55
| ~ spl2_18
| ~ spl2_132
| spl2_202
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_31 ),
inference(rat,[],[s4387,s8870,s10238,s11239,s8646,s11156,s4390,s4759,s4903,s9086,s9062,s9523,s859,s10714,s1770]) ).
cnf(s12439,plain,
( ~ spl2_132
| spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s1199,s1857,s2642,s5512,s11251,s12438,s12437,s1272,s7024,s1449,s1996,s234,s236,s8,s11237,s5027,s9165,s1617,s2466,s11352,s11687,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417,s12435]) ).
cnf(s12440,plain,
( spl2_234
| ~ spl2_278
| spl2_132
| spl2_202
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s4944,s1199,s2641,s11230,s12431,s4791,s8551,s12429,s6074,s859,s10714,s5118,s2756,s12417,s1263,s4754,s7024,s2855,s1996,s1770,s6937,s201,s10603,s1272,s1449,s234,s236,s11355,s5383,s11094,s8,s271,s1496,s11129,s1617,s2466,s11352,s11687,s10697,s72,s22,s1259,s12416]) ).
cnf(s12441,plain,
( spl2_363
| ~ spl2_234
| ~ spl2_55
| spl2_455
| ~ spl2_712 ),
inference(rat,[],[s4937,s10963,s10962,s7033,s7119,s10735,s11115,s1845,s2850]) ).
cnf(s12442,plain,
( spl2_301
| ~ spl2_94
| ~ spl2_363
| ~ spl2_55
| spl2_455
| spl2_132
| spl2_84
| spl2_299
| ~ spl2_139 ),
inference(rat,[],[s1041,s11485,s5441,s8081,s6675,s7030,s5939,s8869,s10963,s11249,s8844,s4937,s8870,s10962,s5867,s7119,s9760,s10735,s5118,s4754,s1770,s1272,s5937]) ).
cnf(s12443,plain,
( ~ spl2_94
| ~ spl2_234
| ~ spl2_55
| spl2_455
| ~ spl2_18
| ~ spl2_278
| spl2_132
| ~ spl2_141
| spl2_84
| spl2_299
| ~ spl2_139
| ~ spl2_308
| ~ spl2_40 ),
inference(rat,[],[s9734,s6993,s11235,s2641,s12442,s10603,s1272,s12441,s4754]) ).
cnf(s12444,plain,
( ~ spl2_278
| spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s12432,s11062,s2642,s1199,s12443,s12441,s12440,s1449,s5383,s234,s11094,s236,s8,s271,s1496,s11129,s1617,s2466,s11352,s11687,s2756,s11355,s10697,s72,s1259,s12416,s22,s1263,s4754,s12439]) ).
cnf(s12445,plain,
( ~ spl2_18
| spl2_278
| spl2_132
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s10603,s5528,s6797,s8868,s912,s12050,s10641,s9794,s11249,s4948,s10962,s11253,s8871,s10208,s9042,s4300,s4809,s10964,s2641,s11252,s9795,s11251,s6937,s1272,s1770,s1449,s234,s236,s5118,s2756,s5366,s2464,s11352,s11687,s6074,s6370,s201,s12417,s11355,s10697,s72,s1259,s12416,s22]) ).
cnf(s12446,plain,
( spl2_203
| spl2_44
| ~ spl2_145
| ~ spl2_234
| ~ spl2_120
| spl2_202
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s10333,s6797,s9223,s7395,s1906,s10488,s1041,s3841,s2978,s1270,s330,s1259,s12416,s10268,s1690,s1496]) ).
cnf(s12447,plain,
( ~ spl2_149
| ~ spl2_203
| ~ spl2_19
| ~ spl2_234
| spl2_278
| spl2_26
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s11250,s4869,s11355,s10697,s72,s1259,s12416,s22,s12417]) ).
cnf(s12448,plain,
( spl2_202
| spl2_84
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s11245,s4388,s10964,s4299,s4304,s4759,s12447,s12446,s10793,s1690,s3122,s2590,s11151,s1496,s10280,s271,s8,s12445,s6074,s6370,s12444,s230,s5366,s5910,s201,s12439,s12435,s11353,s2464,s11352,s11687,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417,s91]) ).
cnf(s12449,plain,
( ~ spl2_278
| ~ spl2_132
| ~ spl2_202
| spl2_84
| ~ spl2_47
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_308
| ~ spl2_25
| ~ spl2_14
| ~ spl2_31
| spl2_4 ),
inference(rat,[],[s4295,s4388,s9715,s10519,s2025,s11715,s11449,s4939,s5091,s1259]) ).
cnf(s12450,plain,
( ~ spl2_18
| spl2_750
| spl2_234
| spl2_278
| spl2_346
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s2618,s8646,s4387,s8870,s4390,s9062,s11239,s1770,s7024,s1449,s1996,s234,s11110,s236,s10714,s4903,s9523,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417]) ).
cnf(s12451,plain,
( spl2_234
| ~ spl2_132
| spl2_84
| ~ spl2_47
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s9362,s8870,s1588,s4243,s4555,s3619,s1500,s1751,s9464,s1376,s2095,s2016,s4390,s11694,s11151,s10280,s271,s8,s12450,s5938,s4388,s4903,s9523,s6074,s5027,s12449,s12448,s12417,s5118,s2756,s11355,s1617,s11352,s11687,s10383,s2466,s10697,s72,s1259,s22,s12416]) ).
cnf(s12452,plain,
( ~ spl2_18
| ~ spl2_234
| spl2_278
| ~ spl2_132
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s1199,s1857,s2642,s5512,s11251,s1272,s1449,s234,s236,s1259,s12417,s5027,s1617,s2466,s22,s11352,s11687,s12416]) ).
cnf(s12453,plain,
( spl2_363
| ~ spl2_191
| ~ spl2_26
| ~ spl2_92
| ~ spl2_145
| ~ spl2_234
| ~ spl2_132
| spl2_84
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_308
| spl2_17
| spl2_4 ),
inference(rat,[],[s4978,s1500,s12056,s9464,s8646,s2095,s10964,s11124,s2025,s4869,s9715,s3897,s4903,s4388,s1845,s2096,s11694,s5027]) ).
cnf(s12454,plain,
( ~ spl2_149
| ~ spl2_391
| spl2_178
| spl2_44
| ~ spl2_191
| ~ spl2_26
| ~ spl2_92
| ~ spl2_145
| ~ spl2_231
| ~ spl2_202
| ~ spl2_47
| ~ spl2_98
| ~ spl2_139
| ~ spl2_308
| spl2_17
| spl2_4 ),
inference(rat,[],[s7965,s8869,s11190,s4555,s1500,s9464,s3056,s2095,s10964,s11124,s4869,s5118,s2756]) ).
cnf(s12455,plain,
( ~ spl2_169
| spl2_278
| ~ spl2_139
| ~ spl2_191
| ~ spl2_234
| ~ spl2_301
| spl2_93 ),
inference(rat,[],[s1478,s11252,s11125]) ).
cnf(s12456,plain,
( ~ spl2_132
| spl2_84
| ~ spl2_47
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s12455,s4390,s4388,s4295,s9715,s12454,s5512,s12453,s11694,s2096,s11151,s11237,s10280,s271,s8,s12452,s12451,s733,s12449,s5027,s10383,s9165,s1617,s2466,s11352,s11687,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417,s12448]) ).
cnf(s12457,plain,
( ~ spl2_278
| spl2_110
| spl2_132
| ~ spl2_202
| spl2_84
| ~ spl2_47
| ~ spl2_98
| spl2_93
| ~ spl2_139
| ~ spl2_308
| ~ spl2_25
| ~ spl2_14
| ~ spl2_31
| spl2_4 ),
inference(rat,[],[s4388,s11753,s4299,s4760,s4759,s2025,s11715,s11449,s5091,s1259,s7597]) ).
cnf(s12458,plain,
( spl2_180
| ~ spl2_191
| ~ spl2_92
| ~ spl2_145
| spl2_132
| spl2_84
| ~ spl2_98
| spl2_299
| ~ spl2_308
| spl2_17 ),
inference(rat,[],[s463,s1504,s6940,s2435,s12228,s2573,s1347,s6756,s4809,s10964,s2095,s9464,s1500]) ).
cnf(s12459,plain,
( spl2_84
| ~ spl2_47
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s4760,s11753,s2025,s9760,s4978,s5867,s7965,s8870,s8869,s4243,s1298,s4555,s3619,s12458,s11151,s10280,s271,s6074,s8,s6370,s12445,s733,s12457,s5366,s201,s12456,s12448,s7597,s2464,s10383,s1617,s2466,s11352,s11687,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417]) ).
cnf(s12460,plain,
( ~ spl2_278
| ~ spl2_234
| spl2_703
| spl2_202
| spl2_94
| ~ spl2_132
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s4937,s10963,s10962,s7033,s6879,s11115,s2850,s1449,s2642,s234,s1199,s236,s8,s10735,s271,s10519,s2848,s1496,s4939,s11129,s10697,s72,s1259,s5027,s1617,s2466,s22,s11352,s11687,s12416]) ).
cnf(s12461,plain,
( ~ spl2_26
| ~ spl2_117
| ~ spl2_120
| ~ spl2_355
| ~ spl2_145
| ~ spl2_244
| spl2_278
| spl2_202
| ~ spl2_119
| ~ spl2_345
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s4650,s1904,s9496,s8410,s4128,s10791,s1500,s453,s5262,s12427,s12417,s1496,s11151,s1259,s12416,s22]) ).
cnf(s12463,plain,
( spl2_177
| spl2_363
| ~ spl2_191
| ~ spl2_98 ),
inference(rat,[],[s8646,s10964,s9496,s6756]) ).
cnf(s12464,plain,
( ~ spl2_177
| ~ spl2_209
| ~ spl2_355
| ~ spl2_244
| ~ spl2_119
| spl2_93 ),
inference(rat,[],[s1593,s1505,s5650,s8869,s4650,s6675]) ).
cnf(s12465,plain,
( spl2_301
| ~ spl2_355
| ~ spl2_191
| ~ spl2_244
| ~ spl2_234
| ~ spl2_156
| ~ spl2_119
| ~ spl2_345
| ~ spl2_98
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s8844,s1588,s2848,s1751,s8975,s4945,s1369,s4128,s10964,s9496,s6756,s12464,s10735]) ).
cnf(s12466,plain,
( spl2_202
| ~ spl2_132
| ~ spl2_47
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s8556,s489,s10502,s10488,s1498,s12053,s10213,s7902,s8869,s8844,s5381,s4518,s12461,s4650,s154,s6756,s3096,s10715,s10964,s2642,s12455,s1845,s12465,s8870,s5867,s11151,s271,s8,s12452,s5255,s733,s12460,s859,s4760,s9086,s9764,s5819,s5118,s2756,s11355,s10697,s72,s12417,s2058,s5027,s1617,s2466,s22,s11352,s11687,s10250,s11400,s1259,s12416,s4759,s2025,s7605,s12459]) ).
cnf(s12467,plain,
( ~ spl2_202
| ~ spl2_47
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s11449,s11716,s11451,s379,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417,s12459]) ).
cnf(s12468,plain,
( spl2_301
| ~ spl2_363
| ~ spl2_55
| spl2_455
| ~ spl2_18
| spl2_132
| ~ spl2_84
| ~ spl2_47
| spl2_299
| ~ spl2_139 ),
inference(rat,[],[s8868,s8795,s7089,s3326,s8081,s7030,s656,s8869,s10963,s5939,s8844,s4937,s11249,s8870,s11110,s10962,s6978,s12432,s7119,s9760,s10735,s5118,s4754,s1770,s1272]) ).
cnf(s12469,plain,
( ~ spl2_278
| ~ spl2_47
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s6993,s9734,s1199,s11235,s10519,s11062,s12468,s10603,s12441,s1272,s1449,s5383,s234,s11094,s236,s8,s271,s1496,s12440,s11129,s1617,s2466,s11352,s11687,s2756,s11355,s10697,s72,s1259,s12416,s22,s12459,s1263,s4754,s12466,s12467]) ).
cnf(s12470,plain,
( ~ spl2_177
| spl2_301
| ~ spl2_47
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s10333,s3676,s11469,s468,s3841,s2978,s330,s11250,s10791,s4869,s5995,s4760,s4170,s5255,s4802,s926,s6993,s10268,s10715,s7960,s1503,s6940,s2522,s5262,s12228,s1500,s656,s4128,s1347,s4809,s10964,s4945,s9792,s8844,s8869,s5749,s6675,s6026,s10383,s1617,s2466,s11352,s11687,s2058,s12459,s5819,s6074,s6370,s201,s1496,s10735,s172,s4903,s4388,s12417,s8870,s5867,s9760,s11151,s271,s8,s12445,s12469,s12466,s12467,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22]) ).
cnf(s12471,plain,
( spl2_301
| ~ spl2_47
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s1200,s4802,s4715,s1503,s11541,s5262,s2848,s1500,s4945,s4128,s10964,s9496,s6756,s12470,s8870,s5867,s9760,s5118,s2756,s2058,s12459,s6074,s6370,s201,s12417,s11355,s1496,s11151,s271,s8,s12445,s12469,s12466,s12467,s10697,s72,s1259,s12416,s22]) ).
cnf(s12472,plain,
( ~ spl2_47
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s12228,s5749,s6940,s4128,s6026,s10715,s1347,s6756,s2642,s4809,s10964,s4995,s12455,s1845,s12471,s11151,s1496,s271,s6074,s8,s6370,s12445,s12469,s201,s12466,s12467,s2058,s12459,s1617,s2466,s11352,s11687,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417]) ).
cnf(s12473,plain,
( ~ spl2_149
| ~ spl2_132
| ~ spl2_84
| spl2_4 ),
inference(rat,[],[s11107,s4869]) ).
cnf(s12474,plain,
( spl2_301
| ~ spl2_355
| ~ spl2_191
| ~ spl2_244
| spl2_229
| ~ spl2_234
| ~ spl2_156
| ~ spl2_119
| ~ spl2_141
| spl2_47
| ~ spl2_98
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s650,s8975,s7815,s1588,s8869,s8844,s2848,s1751,s4945,s1369,s10964,s6756,s12464,s10735]) ).
cnf(s12475,plain,
( spl2_202
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s5262,s1502,s1500,s650,s4650,s6940,s6756,s10715,s10964,s2642,s12455,s1845,s12474,s8870,s5867,s11151,s1466,s271,s275,s11499,s5255,s12452,s641,s12460,s859,s9086,s4760,s9764,s4759,s12473,s5027,s10250,s170,s504,s768,s12448,s2844,s5819,s1263,s11353,s1617,s2466,s11352,s11687,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417,s904,s12472]) ).
cnf(s12476,plain,
( spl2_234
| ~ spl2_132
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s10280,s11499,s11694,s12450,s3096,s7096,s230,s4760,s7597,s91,s5255,s11448,s11716,s10232,s6074,s5118,s2756,s11355,s10697,s72,s1259,s12417,s604,s12475,s12472,s5027,s1617,s2466,s22,s11352,s11687,s12416]) ).
cnf(s12477,plain,
( ~ spl2_149
| ~ spl2_278
| ~ spl2_202
| spl2_4 ),
inference(rat,[],[s10493,s4869]) ).
cnf(s12478,plain,
( ~ spl2_18
| ~ spl2_278
| ~ spl2_132
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s2519,s7998,s1906,s1142,s6916,s11115,s1272,s2850,s1449,s2642,s234,s1199,s236,s5027,s1617,s2466,s11352,s11687,s4759,s10250,s504,s9715,s12477,s12475,s3897,s4388,s10519,s4939,s12476,s11355,s10697,s72,s1259,s12416,s22,s12417,s12472]) ).
cnf(s12480,plain,
( ~ spl2_180
| ~ spl2_255
| ~ spl2_191
| ~ spl2_755
| ~ spl2_335
| spl2_47
| spl2_93
| ~ spl2_139 ),
inference(rat,[],[s5861,s8870,s4782,s6754,s650]) ).
cnf(s12481,plain,
( spl2_177
| ~ spl2_191
| ~ spl2_145
| ~ spl2_755
| ~ spl2_156
| spl2_301
| spl2_455
| ~ spl2_132
| spl2_244
| spl2_47
| ~ spl2_98
| spl2_93
| ~ spl2_33
| ~ spl2_139
| ~ spl2_7 ),
inference(rat,[],[s8870,s9325,s8844,s715,s1588,s9271,s8975,s1500,s656,s12480,s1751,s5375,s1369,s10964,s9496,s6756,s1222]) ).
cnf(s12482,plain,
( ~ spl2_278
| ~ spl2_132
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s9325,s715,s8870,s6587,s1347,s8844,s6755,s8975,s656,s8869,s650,s6675,s4650,s12481,s11151,s271,s11499,s12478,s10250,s6547,s504,s9593,s9715,s4759,s12477,s3897,s4388,s10735,s10519,s2848,s4939,s11353,s9165,s1617,s2466,s11352,s11687,s5118,s2756,s11355,s10697,s72,s1259,s12416,s22,s12417,s604,s12475,s12472,s12476]) ).
cnf(s12483,plain,
( spl2_84
| ~ spl2_191
| ~ spl2_19
| spl2_556
| ~ spl2_234
| ~ spl2_132
| spl2_47
| ~ spl2_98
| ~ spl2_308
| spl2_17
| spl2_4 ),
inference(rat,[],[s453,s9464,s13,s2095,s44,s10964,s45,s11124,s1186,s4869,s11694,s2096,s6137,s4760,s11237,s1497,s7597,s11352,s11687,s9165,s5027,s271]) ).
cnf(s12484,plain,
( ~ spl2_132
| spl2_17
| ~ spl2_38 ),
inference(rat,[],[s9218,s10962,s3094,s11388,s1041,s3841,s2978,s1270,s5243,s330,s11769,s4760,s10250,s12473,s504,s12483,s374,s11151,s684,s271,s11499,s5255,s12452,s641,s12482,s12476,s11353,s1617,s2466,s11352,s11687,s11355,s10697,s72,s1259,s12416,s22,s12417,s765,s904,s1222,s604,s12475,s12472]) ).
cnf(s12485,plain,
( spl2_149
| ~ spl2_234
| spl2_555
| spl2_110
| spl2_84
| spl2_132
| ~ spl2_202
| ~ spl2_139 ),
inference(rat,[],[s4388,s11753,s4299,s4760,s4759]) ).
cnf(s12486,plain,
( spl2_17
| ~ spl2_38 ),
inference(rat,[],[s2848,s4945,s8844,s10964,s8870,s4300,s8869,s5861,s10208,s7865,s4782,s11190,s650,s12458,s11151,s10280,s271,s11499,s12445,s641,s12477,s4869,s12485,s10232,s230,s7597,s91,s5366,s5910,s170,s12484,s1222,s604,s12475,s12472,s12417,s5118,s2756,s11355,s1617,s10697,s2466,s72,s22,s1259,s11353,s2464,s11352,s11687,s12416]) ).
cnf(s12487,plain,
( ~ spl2_31
| spl2_98
| ~ spl2_38 ),
inference(rat,[],[s12,s10280,s10383,s226,s118,s2466,s161,s1259,s233,s4776,s186,s12416]) ).
cnf(s12488,plain,
( ~ spl2_18
| spl2_455
| ~ spl2_191
| spl2_250
| ~ spl2_278
| spl2_356
| spl2_234
| spl2_299
| ~ spl2_203
| ~ spl2_139
| spl2_94
| spl2_98
| ~ spl2_132
| ~ spl2_17 ),
inference(rat,[],[s888,s11068,s11065,s11260,s11047,s1199,s11259,s186,s5118]) ).
cnf(s12489,plain,
( spl2_19
| spl2_18
| ~ spl2_208
| spl2_90
| ~ spl2_244
| spl2_301
| spl2_234
| spl2_98
| ~ spl2_38 ),
inference(rat,[],[s10409,s6186,s11047,s10813,s11992,s6487,s1237,s996,s10697,s10383,s8,s12,s12486,s11090,s9129,s3803,s1364,s2113,s155,s5186,s2017,s4776,s186,s583,s10440,s91,s161,s1259,s12416]) ).
cnf(s12490,plain,
( spl2_202
| ~ spl2_278
| spl2_234
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s7752,s10963,s5427,s4869,s4937,s867,s4759,s10962,s9086,s10403,s6186,s10268,s10488,s1690,s2822,s1466,s10341,s889,s271,s275,s12489,s12488,s8551,s10603,s5383,s2115,s7284,s5384,s2650,s5348,s10232,s2373,s230,s3377,s4011,s11353,s12486,s10440,s9129,s3803,s91,s161,s761,s11090,s1259,s10714,s1751,s2113,s155,s5186,s2017,s4776,s186,s12416,s583,s11048,s9118]) ).
cnf(s12491,plain,
( ~ spl2_278
| spl2_234
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s10583,s10697,s269,s5068,s11711,s11712,s11731,s11449,s12490,s11352,s11687,s12486,s10440,s5118,s9129,s2017,s4776,s186,s583,s3803,s91,s161,s1259,s12416]) ).
cnf(s12492,plain,
( ~ spl2_18
| spl2_202
| spl2_234
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11051,s7953,s11058,s11047,s888,s4953,s1199,s11259,s11264,s12486,s10440,s11090,s5118,s9129,s3803,s91,s161,s1259,s2113,s155,s5186,s2017,s4776,s186,s12416,s583,s12491]) ).
cnf(s12493,plain,
( spl2_19
| spl2_18
| spl2_202
| spl2_278
| spl2_98
| ~ spl2_38 ),
inference(rat,[],[s4760,s5255,s11688,s5078,s2822,s6421,s10585,s6545,s11718,s996,s5068,s10697,s10383,s8,s12,s12486,s5819,s2739,s2844,s10440,s91,s161,s1259,s11353,s12416]) ).
cnf(s12494,plain,
( spl2_202
| spl2_234
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s252,s9086,s11696,s6186,s10697,s1690,s11269,s2822,s1466,s10341,s889,s275,s12493,s12492,s11353,s12486,s10440,s9129,s583,s3803,s91,s161,s761,s11090,s2017,s4776,s186,s1259,s12416,s12491]) ).
cnf(s12495,plain,
( ~ spl2_18
| ~ spl2_202
| spl2_278
| spl2_234
| spl2_98
| ~ spl2_38 ),
inference(rat,[],[s402,s394,s11047,s1617,s11259,s11264,s11352,s11687,s12486,s10440,s11090,s9129,s3803,s91,s161,s1259,s2113,s155,s5186,s2017,s4776,s186,s12416,s583]) ).
cnf(s12496,plain,
( spl2_19
| spl2_18
| ~ spl2_202
| spl2_278
| ~ spl2_139
| ~ spl2_38 ),
inference(rat,[],[s6545,s6421,s11718,s349,s996,s10697,s10383,s8,s12,s11499,s1259,s12416,s12486]) ).
cnf(s12497,plain,
( spl2_234
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s10792,s4354,s452,s4105,s349,s11367,s10697,s10585,s11269,s2822,s10341,s889,s12496,s12495,s12494,s12491,s11353,s12486,s186,s10440,s91,s161,s1259,s12416]) ).
cnf(s12498,plain,
( ~ spl2_18
| spl2_202
| ~ spl2_278
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s4052,s996,s11080,s1237,s10268,s11992,s1690,s711,s11049,s1617,s888,s11061,s147,s11262,s506,s244,s1292,s1199,s253,s11353,s11352,s11687,s12486,s4884,s6807,s2039,s5118,s9129,s3803,s421,s1751,s10603,s5383,s5458,s10440,s2115,s2650,s2373,s230,s3377,s4011,s11048,s9118,s2102,s12497,s583,s761,s11090,s2017,s4776,s186,s91,s161,s1259,s12416]) ).
cnf(s12499,plain,
( ~ spl2_308
| ~ spl2_102
| ~ spl2_29
| ~ spl2_40 ),
inference(rat,[],[s6487,s1258]) ).
cnf(s12500,plain,
( spl2_19
| spl2_18
| ~ spl2_191
| spl2_202
| spl2_455
| spl2_356
| ~ spl2_139
| spl2_84
| ~ spl2_38 ),
inference(rat,[],[s8844,s1588,s1476,s8975,s9086,s4759,s11999,s11688,s888,s12499,s1237,s11718,s996,s10697,s10383,s8,s12,s11499,s1259,s12486,s2739,s2844,s11353,s12416]) ).
cnf(s12501,plain,
( spl2_202
| ~ spl2_278
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s7752,s10963,s5427,s4869,s4937,s867,s4759,s10962,s9086,s10403,s6186,s10268,s10488,s1503,s2822,s10341,s889,s271,s12500,s12498,s2115,s2650,s2373,s230,s3377,s4011,s11353,s12486,s10440,s91,s161,s761,s11090,s2017,s4776,s1259,s12416,s421,s1751,s2102,s583,s11048,s9118,s5383,s5458,s12497,s186]) ).
cnf(s12502,plain,
( ~ spl2_278
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s1200,s11080,s1690,s3748,s4171,s452,s4174,s3851,s9075,s8606,s4759,s11711,s11731,s1222,s12477,s11449,s12501,s10603,s5383,s11352,s11687,s12486,s10440,s91,s161,s11090,s2017,s4776,s1259,s12416,s12487,s5458,s12497,s186]) ).
cnf(s12503,plain,
( ~ spl2_18
| spl2_202
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11688,s4760,s4052,s5255,s4171,s5078,s11056,s1617,s6421,s10585,s11068,s6545,s1199,s11273,s253,s11352,s11687,s12486,s11090,s2017,s4776,s186,s12497,s12502,s5819,s2739,s2844,s10440,s91,s161,s1259,s11353,s12416]) ).
cnf(s12504,plain,
( spl2_202
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s10384,s11275,s11696,s4869,s4759,s9086,s6186,s6545,s1690,s10585,s2822,s1466,s10341,s889,s275,s12493,s12503,s11353,s12486,s10440,s9129,s583,s3803,s91,s161,s761,s11090,s2017,s4776,s186,s1259,s12416,s12502]) ).
cnf(s12505,plain,
( ~ spl2_18
| spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s402,s394,s1617,s6421,s10585,s11068,s6545,s1199,s11273,s11352,s11687,s12486,s4776,s186,s10440,s91,s161,s1259,s12416,s12497,s12502,s12504]) ).
cnf(s12506,plain,
( ~ spl2_211
| ~ spl2_19
| ~ spl2_202
| spl2_98
| ~ spl2_38 ),
inference(rat,[],[s11368,s1510,s1102,s364,s10697,s3377,s155,s11180,s154,s2088,s2373,s2645,s5393,s583,s2017,s10250,s4776,s10585,s2822,s889,s11353,s10341,s186,s12486,s10440,s91,s161,s1259,s12416]) ).
cnf(s12507,plain,
( spl2_98
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11275,s4869,s4760,s5255,s11465,s1906,s11180,s8212,s10697,s996,s11718,s10383,s9300,s10963,s153,s938,s3416,s7395,s2078,s6797,s11080,s4171,s10962,s5995,s10403,s10792,s10268,s1690,s11274,s12506,s6545,s10585,s10715,s2822,s11068,s10341,s10280,s889,s12496,s12505,s12504,s12502,s421,s12497,s120,s12487,s11090,s10440,s2017,s91,s4776,s161,s186,s1259,s11353,s12416,s12486]) ).
cnf(s12508,plain,
( spl2_139
| ~ spl2_278
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11722,s11927,s3169,s1496,s4760,s271,s12473,s8,s8212,s10697,s11721,s11173,s4953,s11720,s10232,s11712,s5153,s10394,s805,s829,s724,s1259,s12416,s12486,s12507]) ).
cnf(s12509,plain,
( ~ spl2_14
| spl2_84
| spl2_234
| spl2_202
| ~ spl2_139
| ~ spl2_278
| ~ spl2_98
| ~ spl2_38 ),
inference(rat,[],[s11175,s1270,s11285,s10586,s11073,s7,s11088,s11197,s1259,s12486,s2739,s2844,s11353,s4869,s4759,s9086,s859,s12416]) ).
cnf(s12510,plain,
( spl2_234
| spl2_202
| ~ spl2_278
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11688,s4953,s11696,s10697,s12509,s12473,s4759,s9086,s859,s1259,s12507,s2739,s2844,s12508,s11353,s12416]) ).
cnf(s12511,plain,
( ~ spl2_14
| ~ spl2_149
| spl2_84
| ~ spl2_18
| spl2_455
| ~ spl2_234
| spl2_202
| ~ spl2_139
| ~ spl2_278
| ~ spl2_98
| ~ spl2_38 ),
inference(rat,[],[s10607,s10268,s5153,s10603,s1690,s711,s1270,s10661,s10594,s10486,s11073,s11088,s11197,s1259,s12486,s2739,s2844,s11353,s4869,s12416]) ).
cnf(s12512,plain,
( spl2_84
| ~ spl2_18
| ~ spl2_645
| spl2_455
| ~ spl2_234
| spl2_202
| ~ spl2_139
| ~ spl2_278
| ~ spl2_98
| ~ spl2_38 ),
inference(rat,[],[s11688,s4953,s11696,s10697,s12511,s9715,s1259,s2739,s2844,s11353,s12416]) ).
cnf(s12513,plain,
( ~ spl2_18
| spl2_202
| ~ spl2_278
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s9512,s9075,s7519,s11741,s6186,s9086,s6680,s4759,s1199,s12473,s11400,s12512,s1259,s12416,s12486,s2848,s3897,s4388,s10519,s12510,s4939,s12508,s12507]) ).
cnf(s12514,plain,
( ~ spl2_14
| ~ spl2_149
| spl2_84
| spl2_18
| spl2_10
| spl2_202
| ~ spl2_278
| ~ spl2_98
| ~ spl2_38 ),
inference(rat,[],[s1496,s11195,s271,s11073,s11088,s8,s11197,s12486,s4869,s12416]) ).
cnf(s12515,plain,
( spl2_84
| spl2_18
| ~ spl2_645
| spl2_10
| spl2_202
| ~ spl2_278
| ~ spl2_98
| ~ spl2_38 ),
inference(rat,[],[s11688,s4953,s11696,s10697,s12514,s9715,s1259,s12416]) ).
cnf(s12516,plain,
( spl2_202
| ~ spl2_278
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s9300,s10383,s6565,s11718,s6086,s11699,s996,s9075,s11741,s6186,s9086,s4759,s6547,s12473,s11400,s9593,s12515,s12513,s3897,s4388,s10519,s12510,s2739,s2844,s1259,s11353,s12416,s12486,s12507,s4939,s12508]) ).
cnf(s12517,plain,
( ~ spl2_278
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s889,s6483,s8,s7768,s711,s11285,s394,s402,s4170,s452,s3851,s9075,s10697,s2466,s4759,s11711,s11731,s12477,s11449,s7527,s12516,s12508,s1259,s11353,s11352,s11687,s12416,s12486,s12507]) ).
cnf(s12519,plain,
( ~ spl2_14
| spl2_84
| spl2_139
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11207,s11693,s12486,s805,s1259,s4869,s4760,s7597,s12507,s5255,s5153,s724,s12517,s12416]) ).
cnf(s12520,plain,
( spl2_84
| spl2_139
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11688,s4953,s11696,s10697,s12519,s2739,s4760,s2843,s7597,s11353,s12507,s805,s1259,s5255,s5153,s724,s12416,s12517]) ).
cnf(s12521,plain,
( ~ spl2_178
| spl2_346
| ~ spl2_180
| ~ spl2_20
| ~ spl2_119
| ~ spl2_84
| ~ spl2_191
| ~ spl2_98 ),
inference(rat,[],[s2642,s12463,s4650,s650,s4105,s4003]) ).
cnf(s12522,plain,
( spl2_139
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s6803,s12521,s9300,s5027,s10383,s4953,s11359,s11699,s4060,s4044,s8212,s4041,s4760,s10250,s12473,s11400,s12520,s445,s11185,s5255,s1263,s5153,s805,s11362,s829,s724,s1259,s12486,s12507,s641,s12517,s11353,s12416]) ).
cnf(s12523,plain,
( ~ spl2_156
| spl2_20
| spl2_202
| ~ spl2_139
| ~ spl2_98
| ~ spl2_17 ),
inference(rat,[],[s11741,s6186,s859,s9075,s9086]) ).
cnf(s12524,plain,
( spl2_234
| ~ spl2_149
| ~ spl2_14
| ~ spl2_308
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11219,s6545,s11208,s10667,s6421,s11224,s859,s12486,s12507,s12517,s12522,s4869,s12416]) ).
cnf(s12525,plain,
( ~ spl2_26
| ~ spl2_149
| ~ spl2_14
| spl2_84
| spl2_10
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11044,s10585,s11088,s6545,s12486,s12507,s12517,s12522,s4869,s12416]) ).
cnf(s12526,plain,
( ~ spl2_44
| ~ spl2_18
| ~ spl2_149
| ~ spl2_14
| ~ spl2_308
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11226,s2978,s575,s360,s4085,s1270,s330,s7340,s1857,s4776,s11225,s10792,s9300,s10830,s3478,s5995,s10383,s6565,s4170,s10751,s394,s2096,s1259,s12486,s12507,s12517,s12522,s4869,s12416,s5038,s1845,s12524,s11110,s5027,s7096]) ).
cnf(s12527,plain,
( ~ spl2_18
| ~ spl2_149
| ~ spl2_14
| ~ spl2_308
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s10830,s11223,s10486,s12526,s1845,s11110,s12416,s12486,s12507,s12517,s12522,s5027,s7096,s12524]) ).
cnf(s12528,plain,
( spl2_20
| ~ spl2_308
| spl2_202
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11223,s11329,s1496,s271,s8,s12527,s4869,s4759,s12523,s10697,s12416,s12486,s12507,s12517,s12522]) ).
cnf(s12529,plain,
( ~ spl2_308
| spl2_84
| spl2_202
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s1845,s2642,s4388,s851,s859,s4295,s7596,s9086,s9715,s4759,s11696,s12528,s5027,s1259,s12416,s12486,s12507,s12522]) ).
cnf(s12530,plain,
( spl2_84
| spl2_202
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s10384,s11688,s12525,s4760,s5255,s5078,s6421,s10585,s6545,s1617,s4953,s12529,s11352,s11687,s12486,s12517,s5819,s2739,s2844,s12522,s11353,s12416]) ).
cnf(s12531,plain,
( spl2_202
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11694,s6565,s6803,s9300,s10383,s5027,s11718,s4953,s11699,s996,s12523,s4759,s12473,s11400,s12530,s1259,s12416,s12486,s12507,s12522]) ).
cnf(s12532,plain,
( ~ spl2_308
| ~ spl2_15
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s2096,s11223,s5027,s12416,s12486,s12517,s452,s12522,s4170,s5995,s12507]) ).
cnf(s12533,plain,
( spl2_149
| spl2_20
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s10585,s6545,s3927,s4953,s12532,s402,s452,s9075,s4760,s4759,s12517,s12522,s12531,s8212,s12486]) ).
cnf(s12534,plain,
( spl2_20
| ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s4715,s6940,s2155,s6756,s4789,s10964,s11252,s445,s11210,s3094,s1501,s1041,s572,s7900,s1530,s11118,s45,s11306,s11219,s4010,s10715,s44,s11223,s11180,s10486,s11694,s11329,s10280,s271,s12496,s7,s12524,s12527,s12532,s5027,s4953,s12525,s2739,s825,s2843,s3076,s1829,s12473,s2916,s2773,s4869,s12533,s10697,s1259,s11353,s11352,s11687,s12416,s12486,s12507,s12517,s12522,s12531]) ).
cnf(s12535,plain,
( ~ spl2_132
| ~ spl2_38 ),
inference(rat,[],[s11774,s11451,s840,s7597,s7340,s4760,s6421,s10585,s2738,s5255,s11367,s1029,s604,s4105,s4354,s10792,s12532,s11696,s11709,s12534,s12531,s12522,s12517,s12507,s1259,s11352,s11687,s12416,s12486]) ).
cnf(s12536,plain,
( spl2_84
| ~ spl2_194
| ~ spl2_92
| ~ spl2_156
| ~ spl2_203
| ~ spl2_38 ),
inference(rat,[],[s3088,s11694,s4389,s851,s4299,s7596,s12486,s186,s5366,s12535,s2464,s11352,s11687,s12416]) ).
cnf(s12537,plain,
( ~ spl2_44
| ~ spl2_308
| spl2_104
| ~ spl2_194
| ~ spl2_92
| ~ spl2_278
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s9734,s11761,s6803,s12,s11712,s4929,s10383,s10332,s11205,s394,s2822,s12486,s201,s829,s186,s5366,s12535,s2464,s11352,s11687,s11362,s805,s1259,s5153,s724,s12416]) ).
cnf(s12538,plain,
( spl2_44
| ~ spl2_194
| ~ spl2_92
| ~ spl2_156
| ~ spl2_203
| ~ spl2_38 ),
inference(rat,[],[s7998,s4055,s428,s912,s2078,s11422,s12486,s186,s5366,s2464,s2058,s170,s12536,s11352,s11687,s12416,s12535]) ).
cnf(s12539,plain,
( spl2_149
| spl2_20
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s12537,s3498,s12538,s3009,s12536,s4171,s10790,s3047,s5995,s5255,s5463,s9073,s9075,s4760,s3956,s4759,s829,s186,s5366,s12535,s2464,s11352,s11687,s11362,s5153,s724,s12416,s8212,s12486]) ).
cnf(s12540,plain,
( spl2_84
| ~ spl2_278
| spl2_20
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s11197,s2739,s11693,s2843,s11353,s12486,s186,s5366,s12535,s2464,s11352,s11687,s805,s1259,s10697,s4869,s12539,s12416]) ).
cnf(s12541,plain,
( ~ spl2_44
| ~ spl2_278
| ~ spl2_308
| spl2_20
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s2739,s11702,s2838,s11179,s1496,s5952,s12486,s186,s5366,s12535,s2464,s11352,s11687,s805,s1259,s10697,s4869,s12539,s12416]) ).
cnf(s12542,plain,
( ~ spl2_278
| ~ spl2_308
| spl2_20
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s7143,s912,s4986,s4055,s2846,s2739,s11197,s10491,s12541,s2025,s2058,s170,s12540,s1259,s11353,s12486,s201,s186,s5366,s12535,s2464,s11352,s11687,s11362,s10697,s4869,s12539,s12416]) ).
cnf(s12543,plain,
( ~ spl2_308
| spl2_20
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s2838,s1496,s2739,s351,s11702,s2822,s10491,s11693,s11207,s12542,s12486,s186,s5366,s12535,s2464,s11352,s11687,s805,s1259,s10697,s4869,s12539,s12416]) ).
cnf(s12544,plain,
( spl2_20
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s11084,s10491,s11693,s4052,s4953,s12543,s4869,s12539,s10697,s253,s11353,s12486,s186,s5366,s12535,s2464,s11352,s11687,s805,s1259,s12416]) ).
cnf(s12545,plain,
( ~ spl2_161
| spl2_18
| spl2_202
| spl2_139
| ~ spl2_40 ),
inference(rat,[],[s32,s12,s5068,s10332]) ).
cnf(s12546,plain,
( spl2_84
| ~ spl2_278
| ~ spl2_308
| ~ spl2_156
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s32,s11718,s12,s4929,s10279,s10486,s2822,s12545,s9734,s11761,s851,s7596,s12486,s996,s11720,s5153,s724,s12544,s805,s1259,s829,s186,s5366,s12535,s2464,s11352,s11687,s12416]) ).
cnf(s12547,plain,
( ~ spl2_84
| ~ spl2_20
| ~ spl2_38 ),
inference(rat,[],[s5995,s7,s4170,s9732,s3289,s310,s2058,s170,s12486,s186,s5366,s12535,s2464,s11352,s11687,s12416]) ).
cnf(s12548,plain,
( spl2_149
| spl2_139
| ~ spl2_38 ),
inference(rat,[],[s4929,s10486,s4953,s3498,s12546,s10790,s5255,s5463,s4760,s4759,s12486,s5153,s724,s7597,s12547,s12544,s186,s5366,s12535,s2464,s11352,s11687,s12416]) ).
cnf(s12549,plain,
( ~ spl2_149
| ~ spl2_20
| spl2_4
| spl2_10
| spl2_84
| spl2_202
| spl2_308
| ~ spl2_38 ),
inference(rat,[],[s4952,s11688]) ).
cnf(s12550,plain,
( spl2_139
| ~ spl2_38 ),
inference(rat,[],[s12549,s11696,s12548,s2739,s2843,s12547,s12544,s805,s1259,s11353,s186,s5366,s12535,s2464,s11352,s11687,s12416]) ).
cnf(s12551,plain,
( ~ spl2_226
| ~ spl2_301
| ~ spl2_178
| ~ spl2_38 ),
inference(rat,[],[s4944,s10519,s6186,s859,s12486,s186,s5366,s12535,s2464,s11352,s11687,s12416]) ).
cnf(s12552,plain,
( spl2_84
| spl2_149
| ~ spl2_38 ),
inference(rat,[],[s6370,s11449,s6074,s10232,s12485,s9086,s12551,s4388,s851,s230,s4299,s7596,s7597,s91,s1259,s12486,s201,s5910,s11353,s186,s5366,s12535,s2464,s11352,s11687,s12416,s12550,s4759]) ).
cnf(s12553,plain,
( spl2_149
| ~ spl2_38 ),
inference(rat,[],[s8511,s859,s7277,s379,s12523,s12547,s170,s12552,s4759,s12486,s4754,s186,s5366,s12535,s2464,s11352,s11687,s12416,s12550]) ).
cnf(s12554,plain,
( ~ spl2_26
| ~ spl2_14
| spl2_84
| ~ spl2_38 ),
inference(rat,[],[s11044,s10486,s11088,s4929,s12486,s4869,s12553,s2739,s2843,s11353,s186,s5366,s12535,s2464,s11352,s11687,s12416]) ).
cnf(s12555,plain,
( spl2_178
| ~ spl2_44
| ~ spl2_234
| spl2_26
| ~ spl2_14
| ~ spl2_38 ),
inference(rat,[],[s4170,s5995,s2590,s7,s11343,s9732,s6803,s12486,s186,s5366,s12535,s2464,s11352,s11687,s12550,s4869,s12553,s12416]) ).
cnf(s12556,plain,
( spl2_204
| spl2_99
| spl2_703
| spl2_299
| ~ spl2_226
| ~ spl2_209
| spl2_455
| ~ spl2_44
| spl2_26
| ~ spl2_14
| spl2_202
| ~ spl2_38 ),
inference(rat,[],[s11076,s445,s10729,s11228,s226,s11035,s2096,s8,s1751,s6565,s271,s2101,s11343,s1496,s6421,s10288,s12486,s186,s5366,s12535,s2464,s11352,s11687,s12550,s4869,s12553,s12416,s5118]) ).
cnf(s12557,plain,
( spl2_15
| ~ spl2_25
| ~ spl2_44
| spl2_278
| spl2_26
| ~ spl2_14
| spl2_202
| ~ spl2_120
| ~ spl2_38 ),
inference(rat,[],[s2394,s11227,s11228,s330,s11225,s10751,s9300,s3478,s2590,s11335,s12556,s1996,s9760,s6807,s5118,s6937,s1538,s9795,s8511,s10735,s10519,s2848,s9111,s4944,s10792,s1259,s12486,s4754,s12555,s6074,s6370,s201,s186,s5366,s12535,s2464,s11352,s11687,s12416,s12550]) ).
cnf(s12558,plain,
( ~ spl2_44
| spl2_278
| spl2_26
| ~ spl2_14
| spl2_104
| spl2_202
| ~ spl2_120
| ~ spl2_38 ),
inference(rat,[],[s2590,s4170,s452,s5995,s12557,s10383,s394,s6074,s6370,s201,s186,s5366,s12535,s2464,s11352,s11687,s12416,s12550]) ).
cnf(s12559,plain,
( ~ spl2_308
| spl2_202
| spl2_84
| ~ spl2_38 ),
inference(rat,[],[s11343,s11223,s10486,s12558,s11197,s12554,s10697,s11696,s5038,s1259,s12486,s12550,s4869,s12553,s230,s91,s5910,s2739,s2843,s11353,s186,s5366,s12535,s2464,s11352,s11687,s12416]) ).
cnf(s12560,plain,
( spl2_202
| spl2_84
| ~ spl2_38 ),
inference(rat,[],[s10384,s12554,s12549,s4953,s12559,s12553,s2739,s2843,s11353,s186,s5366,s12535,s2464,s11352,s11687,s12416]) ).
cnf(s12561,plain,
( spl2_204
| ~ spl2_25
| spl2_23
| ~ spl2_161
| ~ spl2_44
| ~ spl2_14
| spl2_84
| ~ spl2_38 ),
inference(rat,[],[s226,s10729,s12496,s11076,s431,s445,s1996,s1270,s11228,s330,s6807,s11035,s6937,s678,s9760,s9795,s10735,s7344,s10519,s6601,s2096,s1751,s604,s11742,s4944,s6565,s2101,s1518,s6722,s10792,s7,s11343,s6421,s452,s10288,s1259,s12486,s4869,s2739,s2843,s11353,s825,s12555,s6074,s6370,s12477,s12560,s12553,s201,s186,s5366,s12535,s2464,s11352,s11687,s12416,s12550,s12554]) ).
cnf(s12562,plain,
( ~ spl2_44
| ~ spl2_308
| spl2_84
| ~ spl2_38 ),
inference(rat,[],[s2394,s9111,s11227,s10792,s11228,s330,s8511,s5995,s11225,s11804,s4170,s10751,s9300,s3478,s2590,s11335,s12561,s10383,s2738,s12555,s394,s2822,s12486,s4754,s230,s91,s5910,s11353,s825,s6074,s6370,s12477,s12560,s201,s186,s5366,s12535,s2464,s11352,s11687,s12550,s5038,s12554,s10697,s11696,s1259,s12416,s12553]) ).
cnf(s12563,plain,
( ~ spl2_308
| spl2_84
| ~ spl2_38 ),
inference(rat,[],[s11343,s11223,s10486,s12562,s12554,s10697,s11696,s1259,s12486,s186,s5366,s12535,s2464,s11352,s11687,s12550,s4869,s12477,s12560,s12553,s12416]) ).
cnf(s12564,plain,
( spl2_84
| ~ spl2_38 ),
inference(rat,[],[s10384,s12554,s11709,s4953,s12563,s12560,s11352,s11687,s12416,s12486,s12550]) ).
cnf(s12565,plain,
( ~ spl2_26
| spl2_104
| ~ spl2_38 ),
inference(rat,[],[s11077,s394,s11335,s6803,s10491,s4929,s1259,s12486,s4754,s186,s5366,s12535,s2464,s11352,s11687,s12550,s4869,s12553,s12416,s10697,s12547,s12564]) ).
cnf(s12566,plain,
( spl2_204
| spl2_93
| spl2_23
| ~ spl2_44
| spl2_202
| spl2_26
| ~ spl2_38 ),
inference(rat,[],[s234,s1449,s12556,s6937,s9760,s9795,s10735,s10519,s6601,s11742,s4944,s6565,s1518,s10792,s7,s11343,s6421,s452,s12555,s6074,s6370,s11197,s12486,s4869,s12553,s2739,s2844,s11353,s201,s186,s5366,s12535,s2464,s11352,s11687,s12416,s12550,s10697,s12547,s12564]) ).
cnf(s12567,plain,
( ~ spl2_44
| spl2_202
| spl2_104
| ~ spl2_38 ),
inference(rat,[],[s8606,s1222,s11819,s11227,s2848,s11742,s4944,s2978,s10792,s7,s11228,s330,s5995,s11225,s4170,s10751,s3478,s2590,s11335,s12566,s827,s10250,s154,s10383,s2738,s12558,s12555,s394,s4754,s5910,s170,s6074,s6370,s11197,s12565,s12486,s4869,s12553,s10697,s12547,s12564,s2739,s2844,s11353,s201,s186,s5366,s12535,s2464,s11352,s11687,s12416,s12550]) ).
cnf(s12568,plain,
( spl2_202
| ~ spl2_308
| ~ spl2_38 ),
inference(rat,[],[s11343,s11223,s10486,s12567,s11197,s2739,s2844,s11353,s12486,s186,s5366,s12535,s2464,s11352,s11687,s12550,s4869,s12416,s10697,s12547,s12564,s12565,s5038,s12553]) ).
cnf(s12569,plain,
( ~ spl2_202
| ~ spl2_38 ),
inference(rat,[],[s6074,s6370,s379,s12477,s201,s186,s5366,s2464,s12550,s12553,s170,s12564,s11352,s11687,s12416,s12535]) ).
cnf(s12570,plain,
( ~ spl2_26
| ~ spl2_149
| ~ spl2_84
| ~ spl2_17
| ~ spl2_40
| ~ spl2_38
| ~ spl2_37 ),
inference(rat,[],[s12565,s10521]) ).
cnf(s12571,plain,
~ spl2_38,
inference(rat,[],[s12570,s4953,s12568,s12569,s12564,s4869,s12553,s12486,s1259,s12416]) ).
cnf(s12572,plain,
( ~ spl2_203
| ~ spl2_6
| ~ spl2_104
| ~ spl2_558 ),
inference(rat,[],[s2080,s423,s4171]) ).
cnf(s12573,plain,
( spl2_455
| spl2_196
| ~ spl2_104
| spl2_204
| spl2_202 ),
inference(rat,[],[s4937,s10962,s10963,s9221,s8293,s1122,s2080,s10502,s10288]) ).
cnf(s12574,plain,
( spl2_206
| ~ spl2_455
| spl2_196
| spl2_221
| ~ spl2_6
| spl2_93
| spl2_234
| ~ spl2_244
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_120
| ~ spl2_128
| spl2_278 ),
inference(rat,[],[s12198,s10964,s8545,s9497,s7549,s9501,s6026,s5562,s445,s8870,s11472,s5381,s8890,s11476,s2456,s10962,s1906,s9223,s11493,s1041,s733,s10714,s8947,s168,s9791,s12571]) ).
cnf(s12575,plain,
( ~ spl2_6
| spl2_93
| ~ spl2_104
| spl2_234
| ~ spl2_244
| spl2_204
| ~ spl2_558
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_120
| ~ spl2_128
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s9221,s1122,s10962,s2080,s8935,s12574,s12573,s8556,s451,s7471,s12572,s733,s12571]) ).
cnf(s12576,plain,
( spl2_15
| ~ spl2_104
| spl2_234
| spl2_204
| ~ spl2_558
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_120
| spl2_132
| spl2_17
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s2448,s3053,s7471,s8551,s1096,s8556,s12573,s2642,s6600,s4932,s1617,s4783,s12575,s5118,s9732,s1538,s10791,s13,s733,s67,s6370,s8943,s10767,s6071,s10714,s8947,s168,s9791,s201,s12571]) ).
cnf(s12577,plain,
( ~ spl2_203
| ~ spl2_29
| ~ spl2_104
| ~ spl2_558
| ~ spl2_44
| ~ spl2_4
| ~ spl2_156 ),
inference(rat,[],[s427,s7998,s3219,s2080,s4171]) ).
cnf(s12578,plain,
( ~ spl2_589
| spl2_245
| spl2_234
| ~ spl2_4
| ~ spl2_128
| spl2_278 ),
inference(rat,[],[s12198,s10964,s8545,s9497,s7549,s9501,s6026,s5562,s9377,s733,s10714,s8947,s168,s9791,s12571]) ).
cnf(s12579,plain,
( ~ spl2_201
| ~ spl2_693
| spl2_196
| spl2_221
| spl2_93
| ~ spl2_244
| spl2_202 ),
inference(rat,[],[s10333,s11476,s9223]) ).
cnf(s12580,plain,
( ~ spl2_206
| spl2_140
| ~ spl2_455
| spl2_217
| ~ spl2_104
| ~ spl2_244 ),
inference(rat,[],[s9222,s1122,s10962,s2080,s8935]) ).
cnf(s12581,plain,
( ~ spl2_104
| spl2_234
| spl2_204
| ~ spl2_558
| ~ spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s12578,s8870,s1963,s5381,s1522,s12579,s11493,s1041,s12580,s6600,s12573,s8556,s451,s5329,s7471,s12577,s5120,s4050,s2096,s4932,s26,s12576,s4759,s733,s4929,s67,s230,s91,s5910,s646,s4811,s9715,s9764,s8943,s10767,s6071,s8947,s168,s9791,s201,s12571]) ).
cnf(s12582,plain,
( ~ spl2_203
| ~ spl2_6
| ~ spl2_94
| ~ spl2_324
| ~ spl2_244
| ~ spl2_226
| ~ spl2_644
| spl2_207 ),
inference(rat,[],[s10334,s4937,s3356,s8935,s2448,s10962,s5440,s423,s1119,s4389]) ).
cnf(s12583,plain,
( spl2_455
| spl2_249
| ~ spl2_355
| spl2_93
| ~ spl2_555
| ~ spl2_94
| ~ spl2_324
| spl2_202
| ~ spl2_4
| ~ spl2_644
| spl2_207
| ~ spl2_128
| spl2_229
| ~ spl2_231 ),
inference(rat,[],[s7088,s2448,s9032,s427,s9034,s6897,s9673,s6026,s4764,s5562,s8868,s445,s8871,s8167,s4390,s10964,s3644,s3619,s12198,s650,s7855,s7815,s8869,s8844,s11586,s10502,s1263,s8556,s12571]) ).
cnf(s12584,plain,
( spl2_234
| spl2_204
| ~ spl2_558
| ~ spl2_18
| ~ spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s573,s4518,s5387,s5381,s12583,s7471,s12582,s8870,s12578,s1963,s4783,s1538,s10791,s827,s1617,s26,s4803,s394,s3927,s12581,s8947,s168,s9791,s10714,s733,s641,s646,s67,s6370,s201,s4811,s9715,s8943,s10767,s6071,s12571]) ).
cnf(s12585,plain,
( ~ spl2_203
| ~ spl2_104
| ~ spl2_558
| ~ spl2_44
| ~ spl2_4
| spl2_308
| ~ spl2_156 ),
inference(rat,[],[s1617,s4783,s12577,s12572]) ).
cnf(s12586,plain,
( ~ spl2_104
| ~ spl2_234
| ~ spl2_244
| spl2_204
| ~ spl2_558
| ~ spl2_18
| ~ spl2_44
| spl2_202
| ~ spl2_4
| ~ spl2_120
| spl2_132
| spl2_17
| ~ spl2_231
| ~ spl2_156 ),
inference(rat,[],[s12580,s11638,s4944,s4803,s1199,s5463,s6993,s2848,s12573,s8556,s5329,s7471,s12585,s6071,s67,s12571]) ).
cnf(s12587,plain,
( spl2_204
| ~ spl2_558
| ~ spl2_18
| ~ spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s4764,s6897,s5562,s4155,s445,s8870,s11642,s8844,s8869,s6220,s8868,s8871,s8167,s3644,s3619,s2519,s1906,s11748,s8556,s7471,s1119,s10962,s4937,s10963,s11570,s2848,s11609,s7687,s10735,s4944,s5118,s8295,s10633,s9732,s1538,s10791,s13,s11638,s26,s4803,s394,s3927,s12586,s12584,s8943,s10767,s10288,s4759,s724,s733,s6071,s6545,s67,s6370,s201,s5518,s230,s91,s5910,s646,s4811,s9715,s9764,s12571]) ).
cnf(s12588,plain,
( spl2_455
| ~ spl2_555
| spl2_93
| ~ spl2_94
| spl2_249
| ~ spl2_211
| ~ spl2_104
| ~ spl2_558
| spl2_202
| spl2_98
| ~ spl2_231 ),
inference(rat,[],[s8793,s6897,s8868,s4764,s6289,s5562,s445,s7986,s307,s1919,s2080,s11586,s10502,s8556,s12571]) ).
cnf(s12589,plain,
( spl2_234
| spl2_221
| spl2_249
| ~ spl2_211
| ~ spl2_104
| ~ spl2_204
| ~ spl2_558
| ~ spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_120
| spl2_98
| spl2_308
| spl2_278 ),
inference(rat,[],[s5440,s2448,s879,s3703,s9219,s10962,s8935,s12574,s12588,s3965,s827,s4783,s8947,s1617,s168,s5078,s9791,s10232,s10714,s7143,s201,s9321,s8556,s733,s12571]) ).
cnf(s12590,plain,
( spl2_29
| spl2_92
| ~ spl2_234
| spl2_249
| ~ spl2_211
| ~ spl2_104
| ~ spl2_558
| ~ spl2_18
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_98
| spl2_17
| spl2_278 ),
inference(rat,[],[s650,s573,s3644,s3696,s8871,s10964,s8105,s7532,s9107,s6897,s9382,s6026,s4764,s5562,s445,s8947,s7986,s307,s12588,s1919,s1122,s2848,s11609,s2080,s4944,s3965,s11410,s9732,s4783,s10791,s13,s1617,s26,s6071,s6019,s22,s201,s8556,s733,s1525,s5120,s4050,s78,s10751,s4929,s9321,s67,s12571]) ).
cnf(s12591,plain,
( ~ spl2_104
| ~ spl2_204
| ~ spl2_558
| ~ spl2_18
| ~ spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s8451,s4286,s10964,s307,s8871,s5939,s1122,s1919,s3644,s5937,s2080,s1199,s11609,s11563,s1845,s11410,s2394,s4803,s9519,s9734,s5255,s8943,s5078,s12590,s78,s5120,s10751,s4050,s2590,s12589,s8556,s451,s7471,s330,s12585,s4759,s733,s6071,s6019,s22,s201,s4929,s67,s230,s91,s5910,s646,s4811,s9715,s9321,s9764,s12571]) ).
cnf(s12592,plain,
( ~ spl2_203
| ~ spl2_204
| ~ spl2_558
| ~ spl2_44
| spl2_703
| spl2_278 ),
inference(rat,[],[s2457,s10962,s4171,s8198]) ).
cnf(s12593,plain,
( ~ spl2_589
| ~ spl2_94
| spl2_234
| spl2_703
| ~ spl2_4
| ~ spl2_128
| spl2_278 ),
inference(rat,[],[s12198,s10964,s8545,s7549,s9497,s9501,s6026,s5562,s445,s9369,s733,s10714,s12571]) ).
cnf(s12594,plain,
( spl2_234
| spl2_249
| spl2_93
| ~ spl2_244
| ~ spl2_140
| ~ spl2_555
| ~ spl2_204
| ~ spl2_18
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_128
| spl2_229
| spl2_278 ),
inference(rat,[],[s573,s5387,s1904,s5381,s12583,s8410,s8870,s12593,s8947,s8874,s10714,s733,s6370]) ).
cnf(s12596,plain,
( ~ spl2_355
| spl2_455
| spl2_93
| ~ spl2_244
| ~ spl2_140
| ~ spl2_204
| ~ spl2_141
| spl2_229 ),
inference(rat,[],[s7815,s8869,s1904,s8844,s8410]) ).
cnf(s12597,plain,
( spl2_20
| ~ spl2_14
| ~ spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s4155,s10962,s8868,s4937,s8167,s10963,s3619,s11550,s650,s10964,s8545,s9298,s6897,s9501,s4788,s4764,s5562,s445,s9369,s8870,s12596,s11609,s2848,s10633,s11638,s12594,s8556,s7471,s12592,s5114,s2394,s4944,s7340,s9732,s10791,s13,s26,s4803,s394,s3927,s12591,s12587,s4052,s14,s4761,s724,s733,s641,s67,s2010,s6019,s22,s6370,s201,s5518,s230,s91,s5910,s4811,s9715,s9321,s1263,s9764,s8,s889,s6071,s646,s12571]) ).
cnf(s12598,plain,
( ~ spl2_203
| spl2_393
| ~ spl2_324
| spl2_703
| ~ spl2_644
| spl2_207
| spl2_278 ),
inference(rat,[],[s3356,s2456,s10963,s10962,s2447,s8198,s4389]) ).
cnf(s12599,plain,
( ~ spl2_693
| ~ spl2_140
| ~ spl2_244
| ~ spl2_18 ),
inference(rat,[],[s573,s4518,s5387]) ).
cnf(s12600,plain,
( spl2_234
| spl2_693
| spl2_245
| spl2_93
| spl2_412
| spl2_204
| ~ spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_128
| spl2_308
| spl2_229
| spl2_278 ),
inference(rat,[],[s4803,s3927,s12583,s12573,s5381,s8556,s7471,s12598,s8890,s8870,s8947,s12578,s8874,s10714,s733,s6370,s8943,s10767,s12571]) ).
cnf(s12601,plain,
( spl2_204
| ~ spl2_20
| ~ spl2_18
| ~ spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s3325,s2519,s1122,s1906,s9221,s10502,s11748,s8556,s7471,s1119,s10962,s4937,s10963,s11570,s10735,s2848,s7687,s10633,s12600,s12599,s4944,s1963,s5118,s5632,s8295,s9732,s1538,s10791,s13,s5995,s8943,s12587,s10767,s10288,s724,s733,s641,s6071,s6545,s67,s6370,s201,s5518,s230,s91,s5910,s646,s4811,s9715,s9764,s12571]) ).
cnf(s12602,plain,
( spl2_234
| ~ spl2_204
| ~ spl2_18
| ~ spl2_44
| spl2_703
| ~ spl2_141
| ~ spl2_4
| ~ spl2_120
| ~ spl2_128
| ~ spl2_26
| spl2_229
| spl2_278 ),
inference(rat,[],[s5381,s12596,s8870,s12599,s12593,s827,s10791,s8947,s26,s168,s5078,s9791,s10232]) ).
cnf(s12603,plain,
( ~ spl2_244
| ~ spl2_234
| ~ spl2_204
| ~ spl2_20
| ~ spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_120
| spl2_84
| spl2_132
| spl2_17
| spl2_229
| spl2_278 ),
inference(rat,[],[s8545,s650,s9501,s11575,s5562,s445,s9369,s8870,s12596,s2848,s11609,s11638,s4944,s3965,s9732,s4783,s10791,s13,s1617,s26,s5078,s733,s6071,s201,s1263,s5120,s4050,s4929,s67,s2590,s12571]) ).
cnf(s12604,plain,
( ~ spl2_14
| ~ spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s5562,s445,s11575,s11529,s11563,s11559,s10519,s4803,s9519,s9734,s5255,s8943,s12603,s5120,s4050,s2590,s12602,s12601,s12597,s8,s733,s641,s5518,s889,s6071,s201,s4929,s67,s230,s91,s5910,s646,s4811,s9715,s9321,s1263,s9764,s12571]) ).
cnf(s12605,plain,
( spl2_234
| ~ spl2_29
| spl2_204
| ~ spl2_20
| ~ spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s7471,s8556,s12598,s12573,s8890,s6600,s5632,s9732,s10791,s13,s8947,s5995,s168,s12581,s9791,s10714,s733,s67,s6370,s201,s4811,s9715,s9764,s8943,s10767,s6071,s394,s12571]) ).
cnf(s12606,plain,
( spl2_455
| spl2_212
| ~ spl2_29
| spl2_204
| ~ spl2_20
| ~ spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| spl2_17
| spl2_278
| ~ spl2_156 ),
inference(rat,[],[s1146,s325,s8302,s1334,s10963,s10791,s4937,s5995,s10962,s12585,s8198,s7471,s8556,s12573,s733,s6071,s6545,s67,s10288,s394,s12571]) ).
cnf(s12607,plain,
( spl2_93
| ~ spl2_206
| ~ spl2_471
| ~ spl2_234
| ~ spl2_47
| ~ spl2_20
| spl2_703
| spl2_202
| ~ spl2_644
| spl2_84
| ~ spl2_128
| ~ spl2_26
| spl2_278 ),
inference(rat,[],[s11575,s5562,s445,s11529,s733,s12571]) ).
cnf(s12608,plain,
( spl2_204
| ~ spl2_20
| ~ spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s5329,s12580,s7471,s11638,s12585,s4803,s5995,s5463,s10726,s6993,s6600,s2848,s12606,s12605,s371,s5653,s394,s10383,s12,s8943,s12601,s10767,s5686,s4759,s733,s5518,s67,s889,s6071,s230,s91,s5910,s646,s9764,s12571]) ).
cnf(s12609,plain,
( spl2_234
| ~ spl2_204
| ~ spl2_44
| spl2_703
| ~ spl2_141
| ~ spl2_4
| ~ spl2_120
| ~ spl2_128
| spl2_19
| ~ spl2_26
| spl2_229
| spl2_278 ),
inference(rat,[],[s32,s12,s5078,s12602,s10232]) ).
cnf(s12610,plain,
( ~ spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s5874,s10964,s8869,s11468,s1029,s7575,s5588,s6026,s26,s5562,s13,s445,s2642,s9733,s11529,s4995,s10519,s1845,s9519,s5120,s8943,s4050,s12603,s2590,s12609,s12608,s10697,s12604,s733,s641,s5518,s889,s6071,s201,s4929,s67,s230,s91,s5910,s646,s4811,s9715,s9321,s1263,s9764,s12571]) ).
cnf(s12611,plain,
( spl2_29
| spl2_589
| ~ spl2_94
| ~ spl2_324
| ~ spl2_18
| ~ spl2_226
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_128
| spl2_17
| spl2_229
| spl2_278 ),
inference(rat,[],[s12583,s7471,s5381,s12582,s3965,s12599,s8870,s4783,s10791,s827,s1617,s26,s733,s6071,s67,s6370,s8943,s12571]) ).
cnf(s12612,plain,
( ~ spl2_590
| ~ spl2_94
| ~ spl2_324
| ~ spl2_195
| spl2_44
| ~ spl2_141
| ~ spl2_644
| spl2_207
| spl2_197
| spl2_229
| ~ spl2_231 ),
inference(rat,[],[s5562,s4788,s445,s7901,s4390,s4715,s12198,s3675,s7855,s7815,s12571]) ).
cnf(s12613,plain,
( spl2_93
| spl2_455
| spl2_590
| spl2_589 ),
inference(rat,[],[s8844,s8869,s8870]) ).
cnf(s12614,plain,
( ~ spl2_93
| ~ spl2_14
| spl2_204
| spl2_44
| ~ spl2_621
| spl2_78
| spl2_197 ),
inference(rat,[],[s926,s4050,s9144,s5124,s5118]) ).
cnf(s12615,plain,
( ~ spl2_203
| ~ spl2_555
| ~ spl2_302
| ~ spl2_29
| ~ spl2_94
| ~ spl2_558
| ~ spl2_644 ),
inference(rat,[],[s934,s4171,s4044,s4389]) ).
cnf(s12616,plain,
( spl2_234
| spl2_93
| ~ spl2_18
| ~ spl2_558
| spl2_204
| spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| spl2_132
| spl2_17
| spl2_229
| spl2_278 ),
inference(rat,[],[s2078,s1122,s3676,s9222,s10962,s6195,s8868,s9672,s5329,s7471,s12615,s4803,s1816,s5254,s4768,s4764,s5562,s445,s453,s1517,s1928,s1779,s8545,s4518,s10726,s10268,s5381,s6600,s12613,s8870,s12612,s12611,s12593,s8947,s168,s9791,s10714,s733,s6545,s67,s6370,s201,s1263,s10288,s8943,s10767,s6071,s12571]) ).
cnf(s12617,plain,
( spl2_15
| spl2_455
| ~ spl2_234
| ~ spl2_226
| spl2_204
| spl2_44
| spl2_132
| ~ spl2_26
| spl2_139 ),
inference(rat,[],[s2078,s1122,s3416,s9221,s11748,s8556,s7471,s1119,s10962,s4937,s10963,s78,s11570,s10751,s10735,s7687,s926,s10633,s8295,s9732,s10791,s13,s724,s733,s6545,s4929,s6370,s201,s5518,s10288,s12571]) ).
cnf(s12618,plain,
( ~ spl2_203
| spl2_455
| ~ spl2_558
| ~ spl2_195
| spl2_44
| spl2_703
| spl2_197
| spl2_278 ),
inference(rat,[],[s10334,s7905,s4937,s2078,s10962,s4171,s8198]) ).
cnf(s12619,plain,
( spl2_79
| spl2_44
| spl2_78 ),
inference(rat,[],[s926,s10751,s10715,s78,s153]) ).
cnf(s12620,plain,
( spl2_20
| spl2_234
| spl2_204
| spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_621
| spl2_132
| spl2_19
| spl2_17
| spl2_229
| spl2_278
| ~ spl2_157 ),
inference(rat,[],[s12616,s12614,s8,s4052,s10697,s6071,s6545,s4929,s67,s12571]) ).
cnf(s12621,plain,
( ~ spl2_14
| spl2_234
| spl2_204
| spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_621
| spl2_132
| spl2_19
| spl2_17
| spl2_229
| spl2_278 ),
inference(rat,[],[s10791,s6600,s5995,s12613,s12616,s12611,s12614,s8,s4929,s8943,s10767,s6071,s12593,s12612,s8947,s168,s9791,s10714,s10288,s1263,s6370,s201,s6545,s67,s733,s12571]) ).
cnf(s12622,plain,
( ~ spl2_93
| spl2_204
| spl2_44
| spl2_197 ),
inference(rat,[],[s926,s4050,s4056,s5124,s5126]) ).
cnf(s12623,plain,
( ~ spl2_18
| spl2_234
| spl2_204
| spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| spl2_132
| spl2_17
| spl2_229
| spl2_278 ),
inference(rat,[],[s10726,s5995,s12599,s12616,s8943,s10767,s6071,s5381,s12613,s12612,s10714,s10288,s1263,s6370,s733,s8870,s12622,s6545,s67,s12593,s8947,s168,s9791,s201,s12571]) ).
cnf(s12624,plain,
( ~ spl2_203
| ~ spl2_558
| spl2_212
| ~ spl2_47
| ~ spl2_20
| ~ spl2_79
| spl2_44
| ~ spl2_148
| ~ spl2_644
| ~ spl2_110 ),
inference(rat,[],[s5564,s5595,s415,s3414,s3416,s3325,s2078,s4171,s4389]) ).
cnf(s12625,plain,
( spl2_234
| spl2_204
| spl2_44
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s10333,s11490,s8935,s1041,s12579,s8556,s451,s7471,s12624,s5995,s371,s10726,s5655,s6600,s4105,s10383,s11499,s12,s12623,s5381,s12613,s8870,s12620,s12612,s12593,s8947,s168,s9791,s10714,s5686,s4761,s733,s641,s889,s646,s186,s6370,s201,s3803,s4811,s9715,s245,s1263,s9764,s12619,s4929,s9321,s10288,s8943,s10767,s6071,s12622,s6545,s67,s12571]) ).
cnf(s12626,plain,
( spl2_455
| ~ spl2_18
| ~ spl2_558
| ~ spl2_234
| ~ spl2_244
| spl2_204
| ~ spl2_79
| spl2_44
| spl2_703
| spl2_202
| ~ spl2_644
| spl2_84
| ~ spl2_128
| ~ spl2_26
| spl2_278 ),
inference(rat,[],[s2642,s2448,s3088,s879,s9220,s10519,s1199,s11585,s3424,s2519,s3416,s863,s2078,s1122,s9221,s10962,s4937,s10963,s10502,s11418,s8556,s5329,s7471,s12618,s733,s10288,s12622,s6545,s2614,s12571]) ).
cnf(s12627,plain,
( spl2_20
| ~ spl2_234
| spl2_204
| spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_120
| spl2_84
| spl2_132
| spl2_19
| ~ spl2_26
| spl2_308
| spl2_278
| ~ spl2_157 ),
inference(rat,[],[s2078,s1122,s3676,s9222,s5329,s7471,s1119,s10962,s8935,s10268,s11638,s4944,s4803,s1199,s5463,s6993,s2848,s12626,s8,s4052,s10697,s733,s201,s12619,s4929,s8943,s10767,s12571]) ).
cnf(s12628,plain,
( spl2_455
| ~ spl2_18
| ~ spl2_234
| ~ spl2_244
| ~ spl2_226
| spl2_204
| spl2_44
| spl2_703
| spl2_202
| ~ spl2_644
| spl2_84
| spl2_132
| ~ spl2_26
| spl2_139 ),
inference(rat,[],[s5995,s12626,s12617,s5518,s201,s12619,s4929,s12571]) ).
cnf(s12629,plain,
( ~ spl2_18
| ~ spl2_20
| ~ spl2_234
| spl2_204
| spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_120
| spl2_84
| spl2_132
| spl2_17
| spl2_139 ),
inference(rat,[],[s1029,s26,s11575,s10726,s11638,s5562,s4944,s4803,s445,s1199,s5463,s11529,s6993,s2848,s12628,s733,s201,s8943,s10767,s6071,s12622,s6545,s67,s5518,s12571]) ).
cnf(s12630,plain,
( spl2_455
| spl2_18
| ~ spl2_234
| ~ spl2_244
| ~ spl2_226
| spl2_204
| spl2_44
| spl2_703
| spl2_202
| spl2_132
| spl2_19
| ~ spl2_26
| spl2_139 ),
inference(rat,[],[s4937,s10962,s10963,s11490,s10502,s11418,s8556,s7471,s12618,s5995,s12617,s733,s6545,s5518,s10288,s11499,s12571]) ).
cnf(s12631,plain,
( spl2_204
| spl2_202
| ~ spl2_4
| spl2_84
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s4803,s11638,s5463,s12607,s6993,s2848,s12630,s11499,s12629,s12627,s12625,s12622,s8943,s10767,s4761,s733,s889,s6071,s6545,s67,s5518,s201,s230,s91,s5910,s646,s4811,s9715,s9321,s9764,s12610,s12571]) ).
cnf(s12632,plain,
( ~ spl2_196
| spl2_363
| ~ spl2_324
| ~ spl2_644
| ~ spl2_231 ),
inference(rat,[],[s4389,s2448,s7471,s8551,s8556,s12571]) ).
cnf(s12633,plain,
( spl2_93
| spl2_455
| spl2_589
| spl2_471
| ~ spl2_94
| ~ spl2_324
| spl2_202
| ~ spl2_644
| spl2_207
| spl2_132
| spl2_229
| ~ spl2_231 ),
inference(rat,[],[s9032,s6897,s2448,s7471,s9034,s9042,s8868,s8871,s8167,s3644,s10502,s12632,s4768,s1542,s7348,s2641,s3619,s10735,s650,s9257,s11541,s4788,s6026,s4764,s5562,s445,s4390,s10964,s6923,s12198,s1505,s7855,s7815,s12613,s8870,s201,s1263,s12571]) ).
cnf(s12634,plain,
( ~ spl2_93
| ~ spl2_14
| ~ spl2_204
| spl2_44
| ~ spl2_621
| spl2_78 ),
inference(rat,[],[s9142,s4715,s9144,s5099,s5118]) ).
cnf(s12635,plain,
( spl2_234
| ~ spl2_15
| ~ spl2_204
| spl2_44
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| ~ spl2_120
| ~ spl2_621
| spl2_132
| spl2_19
| ~ spl2_26
| spl2_229
| spl2_278 ),
inference(rat,[],[s2078,s1122,s3676,s9222,s10962,s6195,s8868,s9672,s5329,s7471,s12615,s1816,s4803,s4768,s5254,s4764,s5562,s445,s453,s1517,s1928,s1779,s8545,s4518,s5381,s12633,s8870,s12634,s8,s10697,s12593,s6993,s996,s8947,s1237,s168,s11992,s9791,s10232,s10714,s733,s4929,s6370,s201,s10268,s1690,s5995,s26,s12571]) ).
cnf(s12637,plain,
( ~ spl2_324
| spl2_301
| spl2_471
| ~ spl2_94
| spl2_93
| spl2_455
| spl2_703
| spl2_202
| ~ spl2_4
| ~ spl2_644
| spl2_132
| spl2_229
| spl2_278 ),
inference(rat,[],[s10335,s12198,s8545,s9298,s9497,s9501,s4788,s6026,s5562,s445,s9369,s12633,s733,s6370,s201,s12571]) ).
cnf(s12638,plain,
( ~ spl2_589
| spl2_140
| spl2_44
| spl2_703
| ~ spl2_26
| spl2_278 ),
inference(rat,[],[s307,s4715,s9372,s9505,s5588,s5562,s445,s9369,s10268,s12571]) ).
cnf(s12639,plain,
( ~ spl2_94
| ~ spl2_254
| ~ spl2_590
| ~ spl2_337
| ~ spl2_244
| ~ spl2_234
| spl2_207
| ~ spl2_231 ),
inference(rat,[],[s4788,s9257,s5642,s12198,s8664,s10735,s10519,s8016,s6993]) ).
cnf(s12640,plain,
( ~ spl2_244
| spl2_455
| spl2_589
| ~ spl2_234
| ~ spl2_15
| ~ spl2_204
| spl2_44
| spl2_202
| ~ spl2_4
| ~ spl2_120
| spl2_84
| spl2_132
| spl2_19
| ~ spl2_26
| spl2_229
| spl2_139 ),
inference(rat,[],[s6897,s7471,s8793,s4171,s2078,s4290,s8868,s5588,s4764,s8167,s5562,s3619,s445,s650,s453,s307,s11609,s11638,s1597,s4803,s1292,s5463,s12639,s7815,s12613,s8870,s12634,s8,s10697,s996,s1237,s11992,s8305,s733,s4929,s6370,s201,s5518,s3803,s1263,s5995,s26,s12571]) ).
cnf(s12641,plain,
( spl2_455
| spl2_589
| ~ spl2_234
| ~ spl2_15
| ~ spl2_204
| spl2_44
| spl2_202
| ~ spl2_4
| ~ spl2_120
| spl2_84
| spl2_132
| spl2_19
| ~ spl2_26
| spl2_229
| spl2_139 ),
inference(rat,[],[s445,s5562,s453,s7575,s3317,s10697,s12613,s11609,s11499,s8,s5118,s4803,s711,s9154,s5255,s8943,s12640,s733,s5518,s201,s26,s12571]) ).
cnf(s12642,plain,
( ~ spl2_244
| ~ spl2_455
| spl2_589
| ~ spl2_234
| ~ spl2_29
| ~ spl2_204
| spl2_44
| spl2_703
| ~ spl2_4
| ~ spl2_644
| ~ spl2_621
| spl2_78
| spl2_132
| spl2_19
| spl2_278 ),
inference(rat,[],[s4768,s8545,s5562,s4518,s445,s4945,s5381,s1525,s11529,s8870,s129,s12634,s8,s10697,s996,s1237,s6993,s11992,s2848,s12571]) ).
cnf(s12643,plain,
( spl2_202
| ~ spl2_4
| spl2_84
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s8451,s5588,s2642,s5562,s10964,s307,s4995,s1845,s445,s4945,s3317,s10697,s9519,s11609,s11529,s8870,s11499,s8,s5118,s4803,s711,s9154,s5255,s8943,s12642,s2848,s12641,s12638,s12635,s26,s10726,s1690,s12631,s12610,s9764,s733,s641,s5518,s889,s6071,s201,s4929,s67,s3803,s230,s91,s5910,s646,s4811,s9715,s9321,s12571]) ).
cnf(s12644,plain,
( ~ spl2_590
| ~ spl2_169
| spl2_593
| spl2_269
| ~ spl2_355
| ~ spl2_195
| ~ spl2_94
| ~ spl2_244
| spl2_234
| spl2_93
| ~ spl2_202
| ~ spl2_4
| ~ spl2_644
| spl2_207
| spl2_132
| ~ spl2_26 ),
inference(rat,[],[s9219,s879,s10962,s7089,s8699,s8868,s9672,s7143,s7471,s12615,s26,s5995,s13,s4803,s9733,s5254,s8545,s8646,s12198,s4716,s1968,s7855,s7901,s201,s10714,s4764,s12571]) ).
cnf(s12645,plain,
( spl2_20
| ~ spl2_44
| ~ spl2_555
| spl2_254
| ~ spl2_455
| ~ spl2_371
| ~ spl2_169
| ~ spl2_183
| ~ spl2_355
| ~ spl2_94
| ~ spl2_244
| spl2_93
| ~ spl2_202
| ~ spl2_4
| ~ spl2_644
| spl2_19
| ~ spl2_26
| spl2_308
| spl2_278
| ~ spl2_157 ),
inference(rat,[],[s8715,s3676,s8871,s10962,s8963,s8699,s1041,s8868,s12580,s9672,s6897,s5329,s7471,s12615,s394,s26,s10726,s10268,s12599,s1816,s1912,s573,s8,s4052,s10697,s3619,s4243,s604,s5381,s8545,s12571]) ).
cnf(s12646,plain,
( spl2_206
| ~ spl2_555
| spl2_182
| ~ spl2_693
| ~ spl2_169
| ~ spl2_183
| ~ spl2_244
| spl2_234
| spl2_93
| ~ spl2_128
| ~ spl2_7 ),
inference(rat,[],[s7089,s2448,s879,s3703,s9219,s10962,s8868,s11476,s9672,s451,s7143,s7471,s4044,s1041,s10714,s12571]) ).
cnf(s12647,plain,
( spl2_204
| spl2_234
| ~ spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s8556,s11418,s7471,s12645,s6613,s4105,s10963,s10962,s12027,s348,s7464,s12646,s4803,s5254,s8545,s5381,s12035,s12613,s8869,s12644,s10964,s1867,s4788,s6026,s4764,s5562,s445,s11991,s656,s3619,s4243,s8870,s12593,s10696,s10288,s4761,s733,s889,s6071,s6545,s67,s6370,s4811,s9715,s10714,s8947,s8874,s201,s825,s680,s7344,s604,s10232,s230,s91,s5910,s646,s5686,s12571]) ).
cnf(s12648,plain,
( ~ spl2_255
| ~ spl2_169
| spl2_191
| ~ spl2_355
| ~ spl2_18
| ~ spl2_558
| ~ spl2_94
| ~ spl2_244
| spl2_93
| ~ spl2_202
| ~ spl2_4
| ~ spl2_644
| spl2_132
| spl2_17
| ~ spl2_231 ),
inference(rat,[],[s9220,s879,s10962,s7089,s8699,s8868,s9672,s8556,s7471,s12615,s26,s13,s9732,s4592,s4803,s2641,s8794,s1816,s573,s5254,s8545,s8646,s8602,s12198,s22,s67,s6993,s4764,s5562,s445,s12571]) ).
cnf(s12649,plain,
( spl2_589
| spl2_234
| ~ spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s1122,s9222,s2078,s5329,s3355,s7471,s10963,s10962,s12615,s348,s7464,s26,s12646,s12645,s10726,s10268,s4803,s12599,s1816,s5254,s8545,s5381,s12035,s12613,s8869,s7855,s12648,s10964,s1867,s6026,s4764,s5562,s445,s11991,s656,s3619,s4243,s8870,s733,s6545,s67,s6370,s4811,s9715,s10714,s8947,s8874,s201,s825,s680,s7344,s5686,s4052,s4761,s8,s10697,s349,s12647,s604,s10232,s230,s91,s5910,s889,s6071,s646,s12571]) ).
cnf(s12650,plain,
( spl2_177
| spl2_363
| ~ spl2_589
| spl2_234 ),
inference(rat,[],[s10335,s8646,s7549,s9497,s10714]) ).
cnf(s12651,plain,
( spl2_234
| ~ spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s8869,s7855,s4555,s8646,s11991,s4390,s445,s5562,s6026,s12650,s9765,s12593,s12649,s680,s6993,s7344,s8947,s604,s8874,s10232,s10714,s5686,s6370,s201,s230,s91,s5910,s646,s4811,s9715,s825,s12571]) ).
cnf(s12652,plain,
( spl2_29
| ~ spl2_188
| ~ spl2_255
| spl2_593
| ~ spl2_589
| spl2_94
| ~ spl2_234
| ~ spl2_4
| spl2_19
| ~ spl2_26
| spl2_139 ),
inference(rat,[],[s2642,s1968,s8646,s10964,s9298,s10633,s1199,s10791,s13,s12,s26,s10383,s724,s5518,s12571]) ).
cnf(s12653,plain,
( ~ spl2_371
| ~ spl2_255
| ~ spl2_254
| spl2_189
| spl2_94
| ~ spl2_244
| ~ spl2_202 ),
inference(rat,[],[s10335,s3623,s7960,s9514,s656,s5645,s4555,s604]) ).
cnf(s12654,plain,
( ~ spl2_195
| ~ spl2_590
| ~ spl2_255
| ~ spl2_254
| spl2_593
| ~ spl2_589
| spl2_94
| ~ spl2_234
| ~ spl2_4
| spl2_19
| ~ spl2_26
| spl2_139 ),
inference(rat,[],[s3622,s2435,s12652,s4715,s7901,s3675,s6545,s5518,s12571]) ).
cnf(s12655,plain,
( ~ spl2_44
| ~ spl2_178
| ~ spl2_558
| ~ spl2_204
| ~ spl2_255
| spl2_177
| ~ spl2_589
| spl2_455
| spl2_703
| spl2_94
| ~ spl2_244
| ~ spl2_234
| spl2_93
| ~ spl2_4
| spl2_19
| ~ spl2_26
| spl2_139 ),
inference(rat,[],[s4937,s10962,s10963,s9220,s7968,s879,s11458,s2642,s8646,s10964,s10735,s294,s10633,s6897,s8556,s307,s10791,s13,s7471,s12652,s26,s2590,s12592,s5078,s724,s4764,s4788,s5562,s445,s9369,s733,s5518,s12571]) ).
cnf(s12656,plain,
( ~ spl2_589
| spl2_455
| spl2_703
| ~ spl2_244
| ~ spl2_234
| spl2_93
| ~ spl2_202
| ~ spl2_4
| spl2_132
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s12638,s1690,s12655,s1199,s8,s4052,s10697,s349,s10288,s12654,s8869,s12653,s9382,s1540,s8545,s9501,s4788,s6026,s715,s5562,s445,s9369,s4761,s733,s5518,s67,s889,s6071,s646,s201,s604,s8947,s9354,s2614,s8513,s12571]) ).
cnf(s12657,plain,
( ~ spl2_195
| ~ spl2_445
| ~ spl2_363
| spl2_301
| spl2_593
| spl2_177
| ~ spl2_183
| ~ spl2_590
| ~ spl2_355
| spl2_94
| ~ spl2_244
| ~ spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_197
| spl2_19
| ~ spl2_26
| spl2_308
| ~ spl2_31
| ~ spl2_231
| ~ spl2_156 ),
inference(rat,[],[s10333,s9220,s8699,s879,s8868,s11485,s9672,s6897,s8556,s1041,s7471,s12027,s12585,s8545,s4105,s394,s3622,s10697,s26,s5995,s8,s13,s2435,s1199,s9732,s4715,s4592,s7901,s3675,s825,s3619,s4243,s604,s12571]) ).
cnf(s12658,plain,
( ~ spl2_203
| ~ spl2_346
| ~ spl2_558
| ~ spl2_644 ),
inference(rat,[],[s3088,s4171,s4389]) ).
cnf(s12659,plain,
( spl2_455
| spl2_703
| ~ spl2_244
| ~ spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s4937,s10333,s10963,s9220,s7968,s879,s11487,s8556,s7471,s12658,s2642,s1199,s8,s4052,s10697,s349,s10288,s12657,s8794,s8646,s8602,s8664,s10735,s10519,s4945,s10964,s7960,s4788,s6026,s715,s4764,s5562,s1180,s11991,s656,s3619,s4243,s12613,s8870,s12656,s4761,s4759,s733,s22,s889,s6071,s646,s6545,s67,s6370,s201,s4811,s9715,s825,s680,s7344,s604,s5686,s9166,s10769,s4803,s5463,s9354,s2614,s12651,s5518,s8513,s12571]) ).
cnf(s12660,plain,
( ~ spl2_589
| ~ spl2_195
| spl2_189
| spl2_269
| ~ spl2_244
| ~ spl2_234
| spl2_93
| ~ spl2_202
| ~ spl2_4
| spl2_132
| spl2_19
| ~ spl2_26
| spl2_139 ),
inference(rat,[],[s8869,s12654,s12653,s9382,s1540,s8545,s9501,s8947,s9354,s2614,s8513,s4788,s733,s5518,s12571]) ).
cnf(s12661,plain,
( ~ spl2_355
| spl2_177
| ~ spl2_471
| ~ spl2_47
| ~ spl2_202
| spl2_84 ),
inference(rat,[],[s1867,s656,s10964,s3619,s4945,s4243]) ).
cnf(s12662,plain,
( spl2_703
| ~ spl2_244
| ~ spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s5078,s26,s12638,s10726,s4944,s1199,s8,s10697,s349,s10288,s12660,s8870,s12661,s6026,s715,s5562,s445,s11529,s2848,s12659,s67,s889,s6071,s646,s201,s4811,s9715,s825,s604,s9354,s2614,s12651,s5518,s8513,s12571]) ).
cnf(s12663,plain,
( ~ spl2_244
| ~ spl2_202
| ~ spl2_4
| spl2_84
| spl2_132
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s8,s10697,s1390,s349,s4995,s10696,s9760,s12662,s9354,s2614,s604,s8513,s889,s6071,s646,s825,s12651,s5518,s12571]) ).
cnf(s12664,plain,
( ~ spl2_4
| spl2_84
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s349,s10697,s11499,s8,s1390,s11804,s4995,s9519,s10767,s8943,s12663,s12651,s825,s12643,s5518,s889,s6071,s646,s9321,s12571]) ).
cnf(s12665,plain,
( ~ spl2_18
| ~ spl2_371
| spl2_254
| ~ spl2_355
| ~ spl2_269
| ~ spl2_31 ),
inference(rat,[],[s8516,s8792,s1912,s573]) ).
cnf(s12666,plain,
( ~ spl2_258
| ~ spl2_188
| ~ spl2_269
| ~ spl2_31 ),
inference(rat,[],[s9296,s1964,s5184]) ).
cnf(s12667,plain,
( ~ spl2_203
| ~ spl2_456
| ~ spl2_182
| ~ spl2_558
| spl2_93 ),
inference(rat,[],[s8871,s5278,s9042,s4171]) ).
cnf(s12669,plain,
( ~ spl2_203
| ~ spl2_182
| ~ spl2_693
| spl2_93
| spl2_703
| spl2_278 ),
inference(rat,[],[s5386,s8871,s10962,s9042,s8198]) ).
cnf(s12670,plain,
( ~ spl2_269
| ~ spl2_94
| spl2_93
| ~ spl2_244
| ~ spl2_324
| spl2_202
| ~ spl2_29
| spl2_353
| ~ spl2_644
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s4002,s3424,s11493,s6474,s8556,s7471,s12669,s78,s10751,s4760,s6477,s4060,s8975,s1237,s3317,s4105,s996,s10697,s11499,s8,s12665,s8869,s453,s7815,s10726,s4518,s6600,s5381,s12633,s8870,s9326,s445,s5562,s4759,s733,s641,s22,s889,s6071,s646,s4929,s67,s6370,s201,s1263,s9764,s6993,s12571]) ).
cnf(s12671,plain,
( ~ spl2_589
| spl2_593
| spl2_177
| ~ spl2_94
| spl2_234
| spl2_202 ),
inference(rat,[],[s5939,s656,s5937,s10964,s9329,s12650,s7549]) ).
cnf(s12672,plain,
( ~ spl2_191
| ~ spl2_303
| ~ spl2_555
| ~ spl2_15
| ~ spl2_355
| ~ spl2_244
| ~ spl2_29 ),
inference(rat,[],[s2024,s8722,s4060,s453]) ).
cnf(s12674,plain,
( ~ spl2_203
| ~ spl2_555
| ~ spl2_455
| ~ spl2_244
| spl2_703
| spl2_278 ),
inference(rat,[],[s8935,s10962,s4044,s8198]) ).
cnf(s12675,plain,
( ~ spl2_94
| spl2_93
| ~ spl2_244
| spl2_234
| spl2_202
| ~ spl2_29
| spl2_353
| ~ spl2_644
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s1122,s9222,s2078,s3676,s394,s10962,s12580,s8935,s1041,s12579,s8556,s451,s5329,s7471,s12674,s4760,s5254,s10268,s4518,s6600,s5381,s12633,s8870,s12671,s4788,s6026,s12670,s6993,s733,s641,s646,s67,s6370,s201,s9764,s10714,s12571]) ).
cnf(s12676,plain,
( ~ spl2_18
| ~ spl2_445
| spl2_750
| ~ spl2_169
| ~ spl2_363
| spl2_179
| spl2_593
| ~ spl2_589
| spl2_94
| ~ spl2_244
| ~ spl2_29
| ~ spl2_31 ),
inference(rat,[],[s5078,s1690,s9367,s10268,s307,s9505,s1968,s4592,s11110,s1199]) ).
cnf(s12677,plain,
( ~ spl2_589
| spl2_94
| ~ spl2_244
| spl2_234
| spl2_703
| spl2_202
| ~ spl2_29
| ~ spl2_128
| spl2_19
| ~ spl2_26
| ~ spl2_31
| spl2_278 ),
inference(rat,[],[s9367,s11992,s307,s1237,s3317,s996,s10697,s11499,s8,s12676,s8794,s5939,s656,s8602,s10964,s9329,s9497,s12650,s7549,s5588,s4788,s6026,s5562,s445,s9369,s733,s10714,s12571]) ).
cnf(s12678,plain,
( ~ spl2_590
| ~ spl2_169
| ~ spl2_269
| ~ spl2_324
| ~ spl2_141
| ~ spl2_40
| spl2_207
| spl2_229 ),
inference(rat,[],[s6355,s5642,s3623,s7855,s7815]) ).
cnf(s12680,plain,
( spl2_455
| spl2_589
| ~ spl2_555
| spl2_93
| ~ spl2_244
| ~ spl2_324
| spl2_202
| ~ spl2_29
| spl2_376
| ~ spl2_40
| ~ spl2_644
| spl2_207
| spl2_197
| spl2_19
| spl2_308
| ~ spl2_31
| spl2_229
| spl2_278 ),
inference(rat,[],[s11110,s8,s1968,s8646,s5939,s10697,s453,s4390,s996,s10726,s7410,s1237,s12596,s1904,s11992,s10288,s3675,s1609,s1505,s7855,s7815,s12613,s11586,s733,s1263,s8870,s12571]) ).
cnf(s12681,plain,
( spl2_93
| ~ spl2_244
| spl2_234
| spl2_202
| ~ spl2_29
| spl2_353
| spl2_376
| ~ spl2_40
| ~ spl2_644
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s1122,s2078,s9222,s3676,s394,s10962,s12580,s8935,s1041,s12579,s8556,s451,s5329,s7471,s10268,s5381,s12674,s6600,s12680,s8870,s12677,s4760,s5463,s12675,s733,s641,s22,s889,s6071,s646,s6545,s67,s6370,s201,s9764,s10714,s12571]) ).
cnf(s12682,plain,
( spl2_234
| spl2_202
| ~ spl2_29
| spl2_754
| spl2_376
| ~ spl2_40
| ~ spl2_644
| ~ spl2_120
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s9219,s879,s7143,s9579,s7471,s8567,s830,s8602,s831,s10962,s9131,s1519,s1522,s1524,s1515,s11494,s11726,s5102,s5118,s12681,s10232,s5186,s10714,s186,s6370,s201,s9321,s8601,s12571]) ).
cnf(s12683,plain,
( spl2_20
| ~ spl2_555
| spl2_254
| ~ spl2_371
| ~ spl2_169
| ~ spl2_589
| spl2_455
| ~ spl2_94
| spl2_93
| spl2_703
| spl2_202
| ~ spl2_29
| ~ spl2_644
| spl2_797
| spl2_98
| spl2_19
| ~ spl2_26
| spl2_308
| spl2_278
| ~ spl2_157 ),
inference(rat,[],[s394,s12588,s12638,s7471,s330,s7397,s12615,s3696,s1816,s573,s8,s4052,s10697,s733,s12571]) ).
cnf(s12684,plain,
( ~ spl2_589
| ~ spl2_94
| ~ spl2_244
| spl2_93
| ~ spl2_234
| spl2_202
| ~ spl2_29
| spl2_754
| spl2_84
| spl2_797
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s11575,s1029,s12683,s11638,s4760,s5254,s3623,s9514,s8869,s7814,s8646,s5937,s5939,s10964,s9298,s11544,s4788,s6026,s5562,s445,s9369,s4761,s733,s67,s889,s6071,s6370,s201,s230,s91,s5910,s646,s4811,s9715,s9321,s9764,s2848,s10735,s10519,s6993,s12571]) ).
cnf(s12685,plain,
( ~ spl2_94
| ~ spl2_337
| ~ spl2_244
| spl2_93
| ~ spl2_234
| spl2_202
| ~ spl2_29
| spl2_754
| spl2_84
| spl2_797
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s12639,s7815,s12613,s12684,s2848,s6993,s733,s641,s646,s6370,s201,s9321,s1263,s12571]) ).
cnf(s12686,plain,
( ~ spl2_254
| spl2_455
| spl2_269
| ~ spl2_589
| ~ spl2_180
| ~ spl2_206
| spl2_94
| ~ spl2_244
| spl2_93
| ~ spl2_234
| spl2_202
| ~ spl2_29
| spl2_84
| ~ spl2_128
| spl2_19
| ~ spl2_26
| spl2_229
| ~ spl2_231 ),
inference(rat,[],[s2435,s4715,s8105,s8941,s1122,s6542,s8725,s10963,s4937,s10962,s4155,s6897,s5329,s1923,s7471,s1292,s9042,s8,s8868,s8871,s10697,s8167,s3644,s11575,s3619,s650,s3622,s1263,s4764,s9501,s12571]) ).
cnf(s12687,plain,
( spl2_140
| ~ spl2_589
| ~ spl2_180
| spl2_703
| ~ spl2_29
| ~ spl2_26
| spl2_278 ),
inference(rat,[],[s1919,s307,s394,s9372,s12638,s5588,s5562,s445,s9369,s12571]) ).
cnf(s12688,plain,
( ~ spl2_18
| spl2_594
| spl2_254
| ~ spl2_140
| spl2_593
| ~ spl2_589
| spl2_94
| ~ spl2_234 ),
inference(rat,[],[s9298,s10964,s10519,s3696,s4944,s573,s1199]) ).
cnf(s12689,plain,
( spl2_18
| spl2_269
| ~ spl2_206
| spl2_93
| ~ spl2_234
| spl2_202
| spl2_84
| ~ spl2_128
| spl2_19
| ~ spl2_26
| ~ spl2_231 ),
inference(rat,[],[s11575,s10697,s11499,s8]) ).
cnf(s12690,plain,
( ~ spl2_589
| ~ spl2_180
| ~ spl2_206
| spl2_94
| ~ spl2_244
| spl2_93
| ~ spl2_234
| spl2_703
| spl2_202
| ~ spl2_29
| spl2_84
| ~ spl2_128
| spl2_797
| spl2_19
| ~ spl2_26
| spl2_229
| spl2_278 ),
inference(rat,[],[s7397,s8869,s12688,s7815,s12686,s6600,s12689,s12687,s4788,s5562,s445,s9369,s733,s1263,s12571]) ).
cnf(s12691,plain,
( spl2_455
| spl2_589
| ~ spl2_555
| spl2_94
| ~ spl2_244
| spl2_93
| ~ spl2_234
| ~ spl2_141
| ~ spl2_29
| spl2_376
| ~ spl2_40
| spl2_197
| spl2_19
| spl2_308
| ~ spl2_31
| spl2_229
| spl2_278 ),
inference(rat,[],[s8,s1292,s10697,s12672,s996,s10726,s7410,s1237,s12596,s1904,s11992,s10288,s3675,s1609,s1505,s7815,s12613,s8870]) ).
cnf(s12692,plain,
( ~ spl2_244
| spl2_93
| spl2_202
| spl2_84
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s11585,s11490,s11613,s8556,s5329,s10962,s7471,s8935,s12674,s2848,s12691,s12690,s11609,s11638,s4760,s5463,s12685,s8305,s733,s641,s889,s6545,s67,s8310,s201,s1263,s9764,s12682,s1617,s11352,s11687,s6071,s7459,s186,s724,s6288,s22,s1259,s12664,s4811,s9715,s230,s91,s5910,s9321,s646,s5518,s12571]) ).
cnf(s12693,plain,
( ~ spl2_589
| ~ spl2_94
| ~ spl2_47
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_202
| ~ spl2_29
| spl2_84
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s844,s11418,s1690,s394,s10963,s12588,s4937,s11536,s10962,s4155,s6897,s7471,s330,s5515,s4052,s9042,s8868,s8871,s11575,s9501,s4764,s8167,s3644,s5562,s11559,s445,s12687,s9369,s4761,s646,s6071,s6545,s4929,s67,s9764,s3619,s11609,s4760,s5255,s201,s9321,s733,s12571]) ).
cnf(s12694,plain,
( spl2_455
| ~ spl2_94
| ~ spl2_47
| spl2_244
| spl2_93
| spl2_202
| ~ spl2_29
| spl2_754
| spl2_376
| ~ spl2_40
| spl2_84
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s711,s12689,s394,s11531,s12588,s6411,s9664,s7471,s330,s12615,s5562,s5995,s445,s13,s11529,s9733,s10519,s1845,s1817,s10735,s10288,s7814,s3675,s6923,s1609,s1505,s7815,s12613,s733,s641,s889,s6071,s6545,s186,s4929,s67,s6370,s201,s1263,s9764,s4760,s5255,s4932,s8870,s12693,s12682,s4811,s9715,s230,s91,s5910,s9321,s646,s12571]) ).
cnf(s12695,plain,
( ~ spl2_94
| ~ spl2_47
| spl2_244
| spl2_93
| spl2_202
| ~ spl2_29
| spl2_754
| spl2_376
| ~ spl2_40
| spl2_84
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s2448,s5441,s9034,s9032,s8868,s8167,s11531,s6897,s6411,s9664,s7471,s12669,s4768,s6026,s4764,s5562,s10964,s445,s4945,s11529,s5381,s2848,s12694,s8870,s12693,s889,s6071,s186,s4929,s67,s9764,s9154,s3619,s11609,s4760,s5255,s201,s733,s12682,s4811,s9715,s230,s91,s5910,s9321,s646,s12571]) ).
cnf(s12696,plain,
( ~ spl2_589
| spl2_94
| ~ spl2_47
| ~ spl2_555
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_703
| spl2_202
| ~ spl2_29
| spl2_84
| spl2_98
| spl2_17
| spl2_139
| ~ spl2_7 ),
inference(rat,[],[s4937,s10963,s10962,s11570,s4155,s10735,s6897,s10519,s10234,s10288,s7471,s7687,s4944,s2394,s9042,s1199,s8868,s8871,s9501,s4764,s12689,s8167,s3644,s5562,s11559,s8295,s445,s12687,s9369,s889,s6071,s6545,s6019,s22,s4929,s67,s6370,s230,s91,s5910,s3619,s11609,s201,s9321,s733,s5518,s12571]) ).
cnf(s12697,plain,
( ~ spl2_269
| ~ spl2_254
| ~ spl2_590
| spl2_93
| ~ spl2_234
| spl2_703
| ~ spl2_40
| ~ spl2_644
| spl2_207
| spl2_278 ),
inference(rat,[],[s5642,s8664,s6355,s10735,s3623,s10519,s4390,s11529,s445,s5562,s12571]) ).
cnf(s12698,plain,
( ~ spl2_18
| ~ spl2_204
| spl2_94
| spl2_244
| ~ spl2_120
| spl2_473 ),
inference(rat,[],[s2394,s1199,s9734]) ).
cnf(s12699,plain,
( spl2_455
| spl2_589
| spl2_94
| ~ spl2_555
| spl2_244
| spl2_93
| ~ spl2_234
| spl2_703
| spl2_202
| ~ spl2_29
| spl2_376
| ~ spl2_40
| ~ spl2_644
| ~ spl2_120
| spl2_84
| ~ spl2_128
| spl2_473
| spl2_19
| ~ spl2_26
| spl2_229
| spl2_278 ),
inference(rat,[],[s7471,s8556,s4044,s10502,s12689,s12698,s12697,s10288,s3675,s1609,s1505,s7815,s12613,s733,s6545,s6370,s1263,s8870,s12571]) ).
cnf(s12700,plain,
( spl2_93
| spl2_202
| spl2_84
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s4944,s1199,s9734,s12689,s11531,s6411,s9664,s7471,s12669,s4768,s5562,s445,s4945,s11529,s5381,s2848,s12699,s8870,s12696,s12695,s11568,s4760,s9154,s5255,s12692,s733,s641,s889,s6019,s201,s4929,s67,s9764,s12682,s1617,s11352,s11687,s6071,s7459,s186,s724,s6288,s22,s1259,s12664,s4811,s9715,s230,s91,s5910,s9321,s646,s5518,s12571]) ).
cnf(s12701,plain,
( spl2_202
| spl2_84
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s10333,s11610,s10502,s1748,s2848,s8556,s8854,s6993,s8857,s7471,s1519,s830,s831,s5102,s1522,s1524,s1515,s1536,s9154,s5118,s12700,s12682,s733,s5518,s230,s91,s5910,s646,s4811,s9715,s9321,s6288,s22,s7459,s1259,s186,s724,s1617,s11352,s11687,s12664,s6071,s12571]) ).
cnf(s12702,plain,
( spl2_269
| ~ spl2_556
| ~ spl2_589
| ~ spl2_94
| spl2_234
| ~ spl2_128 ),
inference(rat,[],[s12198,s10964,s9497,s7549,s5254,s6026,s10714]) ).
cnf(s12703,plain,
( ~ spl2_269
| ~ spl2_589
| spl2_312
| spl2_471
| ~ spl2_265
| ~ spl2_244
| ~ spl2_324
| spl2_93
| ~ spl2_202
| ~ spl2_644
| spl2_98
| spl2_19
| spl2_308
| spl2_278 ),
inference(rat,[],[s5643,s1816,s8869,s8,s7855,s10697,s8646,s7824,s6994,s349,s9765,s9760,s1963,s9326,s4390,s9377,s1524,s445,s5562,s186,s6370,s201,s9321,s604,s12571]) ).
cnf(s12704,plain,
( ~ spl2_442
| spl2_203
| ~ spl2_258
| ~ spl2_79
| ~ spl2_169
| ~ spl2_255
| ~ spl2_110 ),
inference(rat,[],[s3416,s9634,s7139,s3696]) ).
cnf(s12705,plain,
( ~ spl2_18
| ~ spl2_558
| ~ spl2_79
| ~ spl2_209
| ~ spl2_169
| ~ spl2_555
| ~ spl2_255
| ~ spl2_363
| ~ spl2_94
| ~ spl2_47
| spl2_93
| ~ spl2_202
| ~ spl2_29
| ~ spl2_644
| ~ spl2_110
| ~ spl2_231
| ~ spl2_7 ),
inference(rat,[],[s7968,s10963,s5440,s348,s1041,s8961,s8871,s12704,s8556,s451,s7471,s12615,s573,s1816,s12198,s12571]) ).
cnf(s12706,plain,
( ~ spl2_589
| ~ spl2_94
| ~ spl2_244
| spl2_234
| spl2_93
| ~ spl2_202
| ~ spl2_29
| ~ spl2_644
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s8961,s8871,s451,s12704,s7471,s9505,s4044,s1041,s10268,s12027,s4354,s10288,s4105,s349,s10697,s8,s12705,s5995,s153,s13,s10715,s10735,s12198,s9733,s2642,s2641,s10964,s4760,s9497,s12650,s7549,s12702,s5588,s6026,s12703,s733,s889,s6071,s646,s6545,s186,s201,s4929,s9321,s67,s10714,s604,s7606,s6993,s8797,s4932,s12571]) ).
cnf(s12707,plain,
( ~ spl2_254
| ~ spl2_169
| spl2_589
| ~ spl2_94
| ~ spl2_244
| ~ spl2_324
| spl2_93
| spl2_207 ),
inference(rat,[],[s12613,s7855,s5381,s12198,s4518,s8870]) ).
cnf(s12708,plain,
( ~ spl2_590
| spl2_254
| ~ spl2_169
| ~ spl2_269
| spl2_346
| ~ spl2_47
| ~ spl2_324
| ~ spl2_202
| spl2_207
| spl2_132
| spl2_197
| spl2_19
| ~ spl2_26
| ~ spl2_31 ),
inference(rat,[],[s349,s10697,s10288,s8,s3675,s573,s12666,s453,s13,s9733,s8646,s7855,s445,s5562,s12571]) ).
cnf(s12709,plain,
( ~ spl2_269
| ~ spl2_556
| spl2_589
| ~ spl2_94
| ~ spl2_244
| ~ spl2_324
| spl2_93
| ~ spl2_202
| ~ spl2_29
| ~ spl2_40
| ~ spl2_644
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s9221,s1122,s10962,s496,s11476,s6474,s8556,s451,s9664,s7471,s1041,s12669,s12027,s10696,s10288,s1237,s4105,s349,s996,s10697,s8,s5381,s12665,s12613,s8869,s12708,s12707,s8975,s4390,s445,s5562,s4759,s733,s22,s889,s6071,s646,s6545,s67,s6370,s201,s4932,s3619,s4243,s8870,s604,s12571]) ).
cnf(s12710,plain,
( ~ spl2_556
| spl2_589
| ~ spl2_94
| spl2_234
| ~ spl2_202
| ~ spl2_29
| ~ spl2_40
| spl2_84
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s10335,s12707,s1867,s5254,s6026,s12709,s6370,s201,s4811,s9715,s10714,s656,s3619,s4243,s8870,s825,s604,s10232,s230,s91,s5910,s646]) ).
cnf(s12711,plain,
( ~ spl2_590
| spl2_254
| ~ spl2_169
| ~ spl2_555
| spl2_471
| ~ spl2_94
| ~ spl2_47
| ~ spl2_324
| spl2_93
| ~ spl2_202
| ~ spl2_29
| ~ spl2_644
| spl2_207
| spl2_132
| ~ spl2_110
| spl2_197
| spl2_19
| ~ spl2_26
| ~ spl2_231
| ~ spl2_7 ),
inference(rat,[],[s8961,s8871,s451,s12704,s7471,s4044,s1041,s3675,s12027,s10288,s4105,s349,s10697,s8,s12705,s5995,s153,s13,s10715,s10735,s9733,s2642,s2641,s8646,s7855,s4929,s4932,s12571]) ).
cnf(s12712,plain,
( ~ spl2_201
| spl2_221
| spl2_217
| ~ spl2_399
| ~ spl2_258
| ~ spl2_333
| ~ spl2_693
| ~ spl2_371
| spl2_254
| ~ spl2_244
| spl2_93 ),
inference(rat,[],[s3676,s8715,s10962,s8871,s11476,s8961]) ).
cnf(s12713,plain,
( ~ spl2_18
| ~ spl2_558
| ~ spl2_455
| ~ spl2_371
| spl2_254
| ~ spl2_169
| ~ spl2_555
| ~ spl2_355
| ~ spl2_94
| ~ spl2_244
| spl2_93
| ~ spl2_202
| ~ spl2_29
| ~ spl2_644
| ~ spl2_26
| ~ spl2_7 ),
inference(rat,[],[s1122,s2078,s9222,s3676,s394,s10962,s12580,s7464,s1041,s12712,s451,s5329,s7471,s12615,s1912,s573,s1816,s604,s5381,s10268,s6600,s12571]) ).
cnf(s12714,plain,
( ~ spl2_94
| spl2_234
| ~ spl2_202
| ~ spl2_29
| ~ spl2_40
| spl2_84
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s2448,s7089,s879,s3830,s9219,s8868,s10962,s8795,s11476,s6897,s451,s7143,s7471,s1041,s12674,s12027,s10696,s10288,s4105,s349,s10697,s8,s12713,s5995,s10726,s5381,s6600,s12613,s8869,s12711,s12707,s10964,s1867,s6026,s4764,s5562,s445,s4060,s4760,s12710,s656,s3619,s4243,s8870,s12706,s6993,s733,s889,s6071,s6545,s67,s186,s6370,s201,s4811,s9715,s825,s10714,s604,s10232,s230,s91,s5910,s9321,s646,s12571]) ).
cnf(s12715,plain,
( spl2_169
| ~ spl2_589
| spl2_234
| ~ spl2_644
| ~ spl2_128 ),
inference(rat,[],[s5562,s6026,s445,s7549,s4390,s10964,s12571]) ).
cnf(s12716,plain,
( ~ spl2_178
| ~ spl2_255
| ~ spl2_590
| ~ spl2_169
| ~ spl2_589
| ~ spl2_244
| spl2_93
| ~ spl2_29
| spl2_473
| spl2_132
| ~ spl2_26
| spl2_278 ),
inference(rat,[],[s9760,s12638,s1690,s4995,s5078,s10288,s3675,s3696,s2642,s7532,s6545,s8646]) ).
cnf(s12717,plain,
( ~ spl2_254
| ~ spl2_169
| ~ spl2_589
| spl2_94
| ~ spl2_244
| ~ spl2_324
| spl2_93
| ~ spl2_202
| ~ spl2_29
| spl2_754
| spl2_67
| spl2_473
| spl2_132
| spl2_19
| ~ spl2_26
| spl2_308
| spl2_278 ),
inference(rat,[],[s4788,s7901,s5562,s1964,s9377,s3675,s1963,s10288,s2157,s349,s10697,s8,s1199,s12716,s7855,s8869,s9514,s3623,s1519,s733,s6545,s6370,s201,s604,s12571]) ).
cnf(s12718,plain,
( ~ spl2_18
| ~ spl2_255
| spl2_254
| ~ spl2_169
| spl2_94
| spl2_473 ),
inference(rat,[],[s3696,s7532,s573,s1199]) ).
cnf(s12719,plain,
( ~ spl2_589
| ~ spl2_555
| spl2_94
| ~ spl2_244
| spl2_234
| spl2_93
| ~ spl2_202
| ~ spl2_29
| spl2_754
| spl2_67
| ~ spl2_644
| spl2_98
| spl2_17
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s153,s12704,s10715,s8871,s4592,s8961,s9505,s451,s5588,s7471,s8794,s5562,s4044,s1041,s10268,s8602,s445,s12027,s4354,s4060,s10288,s4105,s11589,s349,s10697,s8,s12718,s9497,s4650,s12717,s12715,s889,s6071,s6545,s186,s6019,s22,s201,s4929,s9321,s67,s10714,s604,s10250,s12571]) ).
cnf(s12720,plain,
( ~ spl2_254
| ~ spl2_169
| spl2_177
| spl2_390
| ~ spl2_355
| ~ spl2_244
| ~ spl2_324
| spl2_93
| ~ spl2_29
| spl2_376
| spl2_197 ),
inference(rat,[],[s3675,s8869,s10288,s1609,s12035,s1904,s1505]) ).
cnf(s12721,plain,
( spl2_203
| spl2_835
| ~ spl2_832
| ~ spl2_324
| ~ spl2_40
| ~ spl2_120
| ~ spl2_128 ),
inference(rat,[],[s10333,s9637,s3703,s1906,s7143,s8857,s9664,s7471,s12571]) ).
cnf(s12722,plain,
( ~ spl2_18
| spl2_254
| ~ spl2_169
| ~ spl2_355
| ~ spl2_555
| spl2_94
| ~ spl2_47
| ~ spl2_832
| ~ spl2_324
| ~ spl2_202
| ~ spl2_40
| ~ spl2_644
| ~ spl2_120
| ~ spl2_128
| spl2_17
| spl2_278 ),
inference(rat,[],[s3356,s2448,s10963,s2642,s348,s12658,s4044,s4389,s12721,s5995,s8794,s10726,s4592,s7512,s573,s1199,s6071,s6370,s445,s7410,s4060,s3619,s4243,s22,s12571]) ).
cnf(s12723,plain,
( spl2_234
| ~ spl2_202
| ~ spl2_29
| spl2_754
| spl2_376
| ~ spl2_40
| spl2_84
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s9219,s10962,s879,s8699,s3647,s8868,s8871,s8795,s8961,s8794,s6897,s451,s7143,s12721,s7471,s330,s4044,s1041,s12027,s10288,s4105,s349,s10697,s8,s12722,s12720,s10964,s7960,s6026,s715,s4764,s5562,s7410,s445,s4060,s656,s3619,s4243,s8870,s12719,s4760,s5463,s12714,s604,s8513,s10232,s10714,s889,s6071,s6545,s67,s201,s230,s91,s5910,s646,s4811,s9715,s9321,s6108,s22,s825,s12571]) ).
cnf(s12724,plain,
( spl2_169
| spl2_94
| ~ spl2_47
| ~ spl2_589
| ~ spl2_234
| spl2_93
| ~ spl2_202
| ~ spl2_29
| ~ spl2_644
| spl2_17
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s10696,s12687,s4995,s4944,s1390,s1199,s8,s10697,s11589,s10519,s656,s7538,s7960,s4788,s715,s5562,s445,s4390,s10964,s733,s67,s889,s6071,s12571]) ).
cnf(s12725,plain,
( ~ spl2_18
| ~ spl2_590
| ~ spl2_254
| ~ spl2_169
| spl2_94
| ~ spl2_244
| ~ spl2_589
| ~ spl2_234
| spl2_93
| ~ spl2_29
| ~ spl2_40
| ~ spl2_644
| spl2_98
| spl2_17
| spl2_278 ),
inference(rat,[],[s4788,s12697,s9367,s10696,s307,s4995,s1968,s1390,s10735,s7814,s12716,s1199,s733,s6071,s67,s6019,s22,s6370,s201,s9321,s12571]) ).
cnf(s12726,plain,
( ~ spl2_254
| ~ spl2_169
| ~ spl2_244
| ~ spl2_589
| ~ spl2_234
| spl2_93
| ~ spl2_202
| ~ spl2_29
| spl2_754
| ~ spl2_40
| ~ spl2_644
| spl2_98
| spl2_19
| spl2_17
| spl2_278 ),
inference(rat,[],[s7901,s4788,s1964,s12697,s3675,s10696,s10288,s2157,s349,s10697,s8,s12725,s8869,s9514,s3623,s733,s6071,s6545,s67,s6370,s201,s9321,s6108,s22,s604,s9354,s8513,s8601,s12571]) ).
cnf(s12727,plain,
( ~ spl2_269
| ~ spl2_258
| ~ spl2_555
| ~ spl2_47
| spl2_93
| ~ spl2_202
| spl2_17
| ~ spl2_157 ),
inference(rat,[],[s4052,s11589,s7986,s4060,s445,s12666,s5562,s22,s6071,s12571]) ).
cnf(s12728,plain,
( spl2_181
| ~ spl2_18
| spl2_94
| ~ spl2_589
| ~ spl2_234
| spl2_93
| spl2_98
| spl2_308
| spl2_278 ),
inference(rat,[],[s1390,s4995,s9760,s1963,s9326,s9377,s1524,s445,s186,s9321,s12571]) ).
cnf(s12729,plain,
( spl2_204
| spl2_835
| ~ spl2_182
| spl2_179
| spl2_593
| spl2_255
| ~ spl2_258
| ~ spl2_178
| spl2_177
| ~ spl2_169
| ~ spl2_832
| ~ spl2_589
| ~ spl2_234
| spl2_93
| ~ spl2_40
| ~ spl2_120
| spl2_207
| spl2_797
| spl2_17
| spl2_278 ),
inference(rat,[],[s11599,s10962,s8868,s9637,s9580,s1906,s5329,s8857,s9664,s7471,s12667,s5995,s10726,s7397,s8869,s2435,s8664,s4715,s10735,s307,s11751,s9367,s10288,s6071,s67,s3696,s10238,s12571]) ).
cnf(s12730,plain,
( ~ spl2_18
| spl2_254
| ~ spl2_169
| ~ spl2_555
| ~ spl2_244
| ~ spl2_589
| ~ spl2_234
| spl2_93
| ~ spl2_202
| ~ spl2_29
| ~ spl2_40
| ~ spl2_120
| spl2_797
| spl2_98
| spl2_17
| spl2_278
| ~ spl2_157 ),
inference(rat,[],[s307,s9372,s1928,s1690,s5078,s12729,s8794,s12728,s9501,s5588,s4788,s12727,s4592,s12718,s573,s1199,s733,s6071,s67,s6019,s22,s6370,s201,s9321,s604,s4650,s10250,s9354,s8513,s8601,s12571]) ).
cnf(s12731,plain,
( ~ spl2_244
| ~ spl2_589
| ~ spl2_234
| spl2_93
| ~ spl2_202
| ~ spl2_29
| spl2_754
| ~ spl2_40
| ~ spl2_644
| ~ spl2_120
| spl2_797
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s10456,s1906,s10963,s9637,s7905,s10962,s7351,s11595,s8871,s3696,s8961,s9505,s451,s5329,s5588,s9664,s7394,s7471,s5562,s4044,s1041,s10268,s445,s12027,s4354,s4060,s10288,s4105,s11589,s349,s10697,s8,s12730,s12726,s12724,s4760,s5463,s9354,s604,s8513,s4761,s22,s889,s6071,s646,s6545,s67,s186,s9321,s8601,s12571]) ).
cnf(s12732,plain,
( ~ spl2_94
| ~ spl2_254
| ~ spl2_590
| ~ spl2_234
| spl2_93
| ~ spl2_202
| ~ spl2_40
| ~ spl2_644
| spl2_132
| spl2_278 ),
inference(rat,[],[s9257,s4788,s12198,s12697,s8664,s9760,s10735,s11804,s733,s6370,s201]) ).
cnf(s12733,plain,
( ~ spl2_589
| ~ spl2_234
| ~ spl2_202
| spl2_754
| spl2_4
| spl2_84
| spl2_797
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s7532,s8664,s3696,s10735,s3675,s10519,s10288,s4944,s12698,s1199,s12724,s12732,s9734,s7865,s8,s8869,s10697,s4555,s11625,s11554,s11568,s4760,s5255,s1222,s12731,s641,s889,s6545,s186,s6019,s22,s4929,s67,s6370,s201,s230,s91,s5910,s646,s4811,s9715,s9321,s1259,s1617,s11352,s11687,s6071,s825,s12571]) ).
cnf(s12734,plain,
( ~ spl2_244
| ~ spl2_355
| ~ spl2_234
| ~ spl2_202
| ~ spl2_40
| spl2_98
| spl2_149 ),
inference(rat,[],[s7960,s10964,s715,s8790,s5562,s8701,s445,s4060,s4760,s656,s5463,s3619,s9354,s604,s8513,s646,s186,s9321,s8601,s4243,s12571]) ).
cnf(s12735,plain,
( spl2_84
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s3619,s11554,s11568,s4760,s5255,s12734,s4243,s8870,s12733,s12723,s825,s12701,s1617,s11352,s7459,s6288,s11687,s1259,s12664,s724,s5518,s6071,s8310,s186,s22,s201,s4929,s9321,s67,s12571]) ).
cnf(s12736,plain,
( ~ spl2_589
| ~ spl2_244
| spl2_703
| spl2_202
| spl2_234
| ~ spl2_128
| spl2_19
| ~ spl2_26
| spl2_308
| ~ spl2_31
| spl2_278 ),
inference(rat,[],[s11352,s1617,s11687,s12677,s8947,s12671,s4788,s6026,s5562,s445,s9369,s733,s168,s9791,s12571]) ).
cnf(s12737,plain,
( spl2_29
| spl2_589
| ~ spl2_244
| spl2_93
| spl2_202
| spl2_234
| spl2_132
| spl2_17
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s5381,s12599,s12633,s10791,s6993,s26,s8947,s11687,s3842,s12,s1617,s10383,s733,s641,s67,s889,s6071,s6370,s10714,s4903,s168,s9791,s201,s8870,s12571]) ).
cnf(s12738,plain,
( spl2_169
| spl2_182
| spl2_299
| spl2_96
| spl2_132 ),
inference(rat,[],[s5562,s8571,s4768,s10964,s12571]) ).
cnf(s12739,plain,
( ~ spl2_94
| ~ spl2_244
| spl2_93
| spl2_202
| spl2_234
| ~ spl2_84
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s3703,s10962,s7143,s4055,s8935,s7471,s12646,s12674,s4803,s5254,s4764,s5562,s4524,s3619,s7276,s12738,s8545,s4518,s1259,s1532,s1569,s5381,s2058,s8601,s8600,s12633,s504,s12675,s6993,s4759,s733,s641,s6370,s10714,s4903,s168,s9791,s8870,s12737,s12736,s9764,s201,s889,s67,s6071,s22,s9321,s646,s12571]) ).
cnf(s12740,plain,
( ~ spl2_244
| spl2_93
| spl2_202
| spl2_234
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s12682,s7459,s6288,s1259,s154,s8947,s10250,s12739,s12737,s12736,s724,s22,s67,s889,s6071,s186,s5910,s646,s12735,s4903,s168,s9791,s5518,s201,s9321,s9764,s12571]) ).
cnf(s12741,plain,
( ~ spl2_589
| ~ spl2_111
| ~ spl2_94
| ~ spl2_335
| spl2_703
| spl2_234
| ~ spl2_128
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s715,s9513,s5562,s529,s445,s8384,s9369,s12715,s4903,s168,s9791,s12571]) ).
cnf(s12742,plain,
( spl2_29
| spl2_589
| ~ spl2_555
| spl2_244
| spl2_93
| spl2_202
| spl2_234
| ~ spl2_84
| spl2_132
| spl2_17
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s529,s8384,s10964,s294,s573,s307,s5387,s5262,s11694,s6026,s5381,s4995,s711,s9732,s5562,s12583,s9519,s10767,s13,s445,s7471,s12611,s26,s11412,s11511,s11687,s9734,s3842,s12,s1617,s10383,s733,s641,s67,s889,s6071,s6370,s10714,s4903,s168,s9791,s201,s4438,s504,s10250,s154,s10232,s5910,s8870,s12571]) ).
cnf(s12743,plain,
( ~ spl2_44
| spl2_177
| ~ spl2_168
| ~ spl2_204
| spl2_346
| ~ spl2_355 ),
inference(rat,[],[s9107,s307,s2096,s5262]) ).
cnf(s12744,plain,
( spl2_169
| ~ spl2_204
| spl2_226
| spl2_346
| spl2_589
| ~ spl2_47
| ~ spl2_555
| spl2_244
| spl2_93
| ~ spl2_644
| ~ spl2_84
| spl2_78
| ~ spl2_128
| spl2_19
| ~ spl2_231
| ~ spl2_7 ),
inference(rat,[],[s11556,s11558,s11507,s10697,s8,s711,s12743,s12613,s7575,s6026,s5562,s445,s4390,s10964,s8870,s12571]) ).
cnf(s12745,plain,
( ~ spl2_169
| spl2_589
| ~ spl2_555
| spl2_244
| spl2_93
| spl2_202
| spl2_234
| ~ spl2_84
| spl2_78
| spl2_132
| spl2_19
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s5387,s573,s9734,s8,s10697,s11507,s5381,s11556,s12633,s529,s3619,s4945,s8384,s7276,s733,s641,s6370,s10714,s4903,s168,s9791,s201,s4438,s504,s10250,s154,s10232,s5910,s8870,s12571]) ).
cnf(s12746,plain,
( spl2_226
| spl2_169
| spl2_346
| spl2_589
| ~ spl2_47
| ~ spl2_555
| spl2_244
| spl2_93
| ~ spl2_644
| ~ spl2_84
| spl2_78
| ~ spl2_128
| spl2_308
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s12744,s10767,s733,s889]) ).
cnf(s12747,plain,
( ~ spl2_180
| ~ spl2_170
| spl2_217
| spl2_203
| ~ spl2_371
| ~ spl2_477
| ~ spl2_188
| ~ spl2_40
| spl2_191
| ~ spl2_29
| spl2_93
| ~ spl2_250 ),
inference(rat,[],[s9741,s8732,s8871,s9069,s9524,s591]) ).
cnf(s12748,plain,
( ~ spl2_254
| ~ spl2_18
| ~ spl2_188
| spl2_754
| spl2_376
| ~ spl2_40
| ~ spl2_182
| spl2_191
| ~ spl2_29
| spl2_589
| ~ spl2_94
| ~ spl2_555
| spl2_244
| spl2_93
| spl2_703
| ~ spl2_324
| ~ spl2_84
| ~ spl2_128
| ~ spl2_26
| spl2_139
| ~ spl2_7 ),
inference(rat,[],[s10333,s11508,s3703,s879,s4055,s3326,s11556,s12747,s10963,s11418,s6897,s8556,s7143,s5329,s7471,s12669,s5381,s12613,s8869,s10288,s7855,s2538,s1690,s6923,s1609,s2435,s1505,s3622,s724,s733,s6545,s6370,s5518,s4438,s2058,s504,s8870,s4764,s5562,s2834,s445,s9734,s12571]) ).
cnf(s12749,plain,
( ~ spl2_18
| ~ spl2_188
| spl2_754
| spl2_376
| ~ spl2_40
| ~ spl2_182
| spl2_191
| ~ spl2_29
| spl2_589
| ~ spl2_94
| ~ spl2_555
| spl2_244
| spl2_93
| spl2_703
| ~ spl2_141
| ~ spl2_324
| ~ spl2_84
| ~ spl2_128
| ~ spl2_26
| spl2_139
| ~ spl2_7 ),
inference(rat,[],[s6539,s8869,s1922,s573,s7815,s12748,s9734,s641,s5518,s12571]) ).
cnf(s12750,plain,
( spl2_93
| spl2_202
| spl2_234
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s11556,s11586,s11558,s11507,s10697,s8,s12749,s307,s8451,s3348,s7459,s6288,s6108,s1259,s8943,s12746,s4768,s5588,s5562,s445,s4390,s10964,s12745,s4932,s9154,s12742,s12741,s504,s4438,s10250,s4760,s154,s5255,s10232,s1222,s12740,s724,s733,s22,s889,s6071,s186,s5910,s646,s4929,s67,s12735,s10714,s4903,s168,s9791,s5518,s201,s9321,s1263,s9764,s12571]) ).
cnf(s12751,plain,
( ~ spl2_93
| spl2_234
| ~ spl2_84
| spl2_118
| spl2_98 ),
inference(rat,[],[s8287,s7171,s831,s582,s1522,s1515,s11726,s11522,s5118,s186,s5186]) ).
cnf(s12752,plain,
( ~ spl2_4
| ~ spl2_589
| spl2_703
| spl2_234
| ~ spl2_128
| spl2_278 ),
inference(rat,[],[s12593,s8947,s168,s9791]) ).
cnf(s12753,plain,
( ~ spl2_589
| ~ spl2_244
| spl2_234
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s4760,s12719,s5463,s12706,s1617,s11352,s7459,s6108,s11687,s1259,s12752,s724,s22,s6071,s186,s4903,s168,s9791,s5518,s201,s9760,s7277,s604,s12750,s12751,s12735,s5910,s646,s9321,s12571]) ).
cnf(s12754,plain,
( spl2_29
| ~ spl2_94
| spl2_589
| ~ spl2_244
| ~ spl2_202
| spl2_93
| ~ spl2_644
| ~ spl2_324
| ~ spl2_84
| spl2_207
| spl2_17
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s9257,s12707,s12613,s573,s5381,s4788,s7512,s12599,s8410,s5562,s10791,s445,s26,s11412,s11687,s3842,s12,s1617,s10383,s733,s67,s889,s6071,s10735,s7277,s604,s8870,s12571]) ).
cnf(s12755,plain,
( spl2_169
| ~ spl2_4
| spl2_299
| ~ spl2_355
| ~ spl2_209
| ~ spl2_244
| spl2_93
| ~ spl2_644
| spl2_132
| ~ spl2_231 ),
inference(rat,[],[s1593,s5650,s1505,s8869,s8545,s9257,s4768,s4788,s5562,s445,s4390,s12571]) ).
cnf(s12756,plain,
( ~ spl2_4
| ~ spl2_29
| spl2_184
| spl2_299
| ~ spl2_94
| spl2_589
| spl2_206
| ~ spl2_209
| ~ spl2_244
| ~ spl2_202
| spl2_93
| ~ spl2_644
| spl2_234
| spl2_207
| spl2_132
| ~ spl2_110
| spl2_197
| spl2_19
| ~ spl2_26
| ~ spl2_231
| spl2_149 ),
inference(rat,[],[s12613,s5381,s12711,s12646,s4760,s5254,s4764,s5562,s698,s8545,s12707,s12755,s646,s201,s10714,s604,s8870,s6993,s12571]) ).
cnf(s12757,plain,
( spl2_169
| spl2_178
| ~ spl2_29
| spl2_299
| spl2_589
| spl2_206
| ~ spl2_244
| ~ spl2_202
| spl2_93
| ~ spl2_644
| ~ spl2_84
| spl2_132
| spl2_17
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s1922,s7273,s3676,s11518,s8868,s8871,s10962,s8795,s8961,s11476,s6897,s8556,s451,s5329,s7471,s12669,s4518,s10268,s5381,s6600,s307,s12613,s8451,s9257,s4768,s5588,s4788,s4764,s5562,s445,s4390,s10964,s733,s22,s67,s889,s6071,s656,s11374,s10735,s9760,s7277,s604,s1041,s8870,s12571]) ).
cnf(s12758,plain,
( ~ spl2_269
| ~ spl2_40
| ~ spl2_29
| ~ spl2_94
| spl2_589
| spl2_180
| ~ spl2_244
| ~ spl2_202
| spl2_93
| ~ spl2_644
| ~ spl2_324
| spl2_132
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s4060,s4760,s445,s12709,s5562,s12571]) ).
cnf(s12759,plain,
( ~ spl2_94
| spl2_589
| ~ spl2_244
| ~ spl2_202
| spl2_234
| ~ spl2_84
| spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s2448,s5431,s879,s3830,s9220,s8871,s10962,s8961,s11476,s5381,s8556,s451,s7143,s12613,s7471,s12711,s4044,s4760,s5254,s12758,s12707,s12757,s3348,s6108,s1259,s12756,s12754,s3392,s677,s9158,s582,s8287,s6993,s4438,s7157,s733,s22,s889,s6071,s6545,s67,s186,s6370,s4903,s168,s9791,s201,s11374,s10735,s155,s3702,s5186,s1041,s12230,s7277,s604,s10714,s8870,s12751,s5910,s9321,s646,s12571]) ).
cnf(s12760,plain,
( ~ spl2_244
| spl2_234
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s9220,s879,s10962,s3647,s8699,s8794,s8871,s8868,s10964,s8963,s8795,s7960,s6897,s715,s4764,s8556,s5562,s12721,s7471,s330,s445,s4044,s4060,s4760,s1259,s154,s5463,s8947,s10250,s12759,s8870,s12753,s1041,s12230,s656,s7277,s11374,s604,s8513,s733,s10714,s168,s9791,s5518,s201,s12750,s12751,s12735,s5910,s9321,s646,s12571]) ).
cnf(s12761,plain,
( spl2_234
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s529,s9257,s7865,s2834,s4788,s12613,s1259,s5562,s11556,s12741,s8943,s445,s12230,s9760,s9521,s10735,s4060,s7277,s11374,s504,s4438,s10250,s4760,s154,s5255,s10232,s1222,s12760,s12750,s12751,s10714,s733,s641,s5518,s201,s5910,s9321,s646,s12735,s12571]) ).
cnf(s12762,plain,
( ~ spl2_94
| ~ spl2_180
| spl2_593
| ~ spl2_181
| ~ spl2_589
| ~ spl2_244
| ~ spl2_234
| ~ spl2_84
| spl2_98 ),
inference(rat,[],[s10335,s7538,s7281,s10519,s6327,s6993,s186]) ).
cnf(s12763,plain,
( ~ spl2_589
| ~ spl2_244
| spl2_202
| spl2_93
| ~ spl2_234
| ~ spl2_84
| spl2_98
| spl2_278
| spl2_149 ),
inference(rat,[],[s11687,s8545,s3842,s650,s170,s12053,s11638,s4760,s154,s5463,s10250,s12762,s656,s9329,s9501,s4788,s5562,s445,s9369,s733,s5910,s9321,s646,s9764,s12571]) ).
cnf(s12764,plain,
( ~ spl2_94
| spl2_589
| ~ spl2_337
| ~ spl2_244
| ~ spl2_141
| spl2_93
| ~ spl2_234
| spl2_207
| spl2_229
| ~ spl2_231 ),
inference(rat,[],[s12639,s7815,s12613,s2848,s6993]) ).
cnf(s12765,plain,
( ~ spl2_244
| spl2_202
| spl2_93
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s9382,s1592,s12665,s8947,s8869,s11687,s7815,s1522,s573,s1199,s3842,s650,s2519,s11499,s170,s12053,s11638,s11640,s4760,s154,s5463,s10250,s12764,s8870,s12763,s8305,s733,s641,s22,s889,s6071,s5910,s646,s6370,s201,s9321,s5518,s12735,s12761,s1263,s12571]) ).
cnf(s12766,plain,
( ~ spl2_589
| ~ spl2_555
| spl2_244
| spl2_703
| spl2_202
| spl2_93
| ~ spl2_234
| ~ spl2_84
| spl2_78
| spl2_19
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s9734,s8,s11559,s10697,s12053,s11558,s650,s656,s7546,s9325,s715,s5562,s445,s9369,s733,s1222,s12571]) ).
cnf(s12767,plain,
( ~ spl2_180
| ~ spl2_47
| ~ spl2_555
| spl2_244
| spl2_202
| spl2_93
| ~ spl2_234
| ~ spl2_84
| spl2_78
| spl2_19
| ~ spl2_231
| ~ spl2_7 ),
inference(rat,[],[s9734,s8,s11559,s10697,s12053,s11558,s12571]) ).
cnf(s12768,plain,
( ~ spl2_47
| ~ spl2_555
| spl2_244
| spl2_703
| spl2_202
| spl2_93
| ~ spl2_234
| ~ spl2_84
| spl2_132
| spl2_17
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s11687,s3842,s26,s1617,s2326,s4394,s8871,s3416,s9263,s3671,s13,s153,s6897,s451,s9732,s10715,s10962,s7471,s4944,s6195,s12669,s9734,s8868,s4768,s8,s5521,s1536,s10697,s879,s10964,s6026,s4764,s4055,s11507,s3326,s4945,s5562,s11556,s5381,s2848,s445,s11586,s4060,s12767,s2058,s733,s201,s1222,s8870,s12766,s4929,s67,s889,s6071,s12571]) ).
cnf(s12769,plain,
( spl2_202
| spl2_93
| spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s11563,s154,s9734,s10250,s11499,s504,s12768,s4760,s5255,s12765,s9764,s5518,s889,s6071,s5910,s646,s4929,s9321,s67,s12735,s12761,s12571]) ).
cnf(s12770,plain,
( ~ spl2_202
| ~ spl2_234
| ~ spl2_84
| spl2_473
| spl2_132
| spl2_308
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s10767,s8943,s2394,s154,s11687,s1199,s9734,s10250,s3842,s11499,s504,s170,s604,s379,s889,s5910]) ).
cnf(s12771,plain,
( spl2_98
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s2058,s4055,s504,s11493,s1519,s1522,s5102,s11686,s8556,s451,s7471,s831,s1515,s1536,s5118,s12769,s12770,s12761,s12735,s6019,s9321,s733,s641,s5518,s646,s22,s6071,s12571]) ).
cnf(s12772,plain,
( ~ spl2_269
| spl2_363
| ~ spl2_117
| ~ spl2_15
| ~ spl2_98
| ~ spl2_31 ),
inference(rat,[],[s12666,s6940,s453,s12463,s445,s5562,s12571]) ).
cnf(s12773,plain,
( spl2_84
| ~ spl2_132
| ~ spl2_244
| spl2_703
| spl2_226
| spl2_93
| ~ spl2_98
| ~ spl2_26
| spl2_308
| ~ spl2_31
| spl2_278
| spl2_149 ),
inference(rat,[],[s1593,s1505,s8869,s5254,s7575,s12772,s5512,s1857,s3935,s3096,s10715,s926,s129,s8,s4170,s10697,s8870,s5995,s996,s12638,s10726,s1237,s1690,s11992,s5078,s1676,s11009,s4760,s3928,s7597,s733,s889,s646,s10767]) ).
cnf(s12774,plain,
( ~ spl2_589
| ~ spl2_345
| spl2_703
| spl2_202
| ~ spl2_98
| spl2_278 ),
inference(rat,[],[s5562,s445,s11413,s9369,s733,s12571]) ).
cnf(s12775,plain,
( ~ spl2_269
| ~ spl2_94
| ~ spl2_142
| ~ spl2_132
| ~ spl2_644 ),
inference(rat,[],[s538,s9323,s4390,s445,s5562,s12571]) ).
cnf(s12776,plain,
( ~ spl2_94
| ~ spl2_84
| ~ spl2_132
| ~ spl2_244
| spl2_202
| spl2_234
| spl2_93
| ~ spl2_98
| spl2_19
| ~ spl2_26
| spl2_278
| spl2_149 ),
inference(rat,[],[s3676,s8715,s10268,s8871,s1912,s573,s12599,s9673,s11490,s1142,s10962,s4055,s6195,s1041,s8868,s12579,s9672,s8556,s451,s5329,s7471,s12674,s4760,s8545,s5254,s4518,s5381,s12613,s8869,s7575,s4764,s12775,s8870,s12774,s2058,s1259,s504,s11400,s646,s733,s859,s4903,s9523,s9764,s424,s12571]) ).
cnf(s12777,plain,
( spl2_94
| ~ spl2_244
| ~ spl2_204
| ~ spl2_130
| ~ spl2_98
| spl2_19
| ~ spl2_26
| spl2_308
| spl2_278 ),
inference(rat,[],[s10384,s996,s8,s1237,s11402,s11992,s5078,s1617,s11352,s11687,s8947]) ).
cnf(s12778,plain,
( ~ spl2_132
| ~ spl2_244
| spl2_202
| spl2_234
| spl2_93
| ~ spl2_98
| ~ spl2_26
| spl2_308
| ~ spl2_31
| spl2_278
| spl2_149 ),
inference(rat,[],[s12776,s12773,s9764,s12777,s10767,s859,s9523,s889,s646]) ).
cnf(s12779,plain,
( ~ spl2_244
| spl2_202
| spl2_234
| spl2_93
| ~ spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s4170,s5995,s8600,s10726,s12675,s6600,s12737,s12633,s12736,s6370,s201,s12778,s6993,s12777,s733,s641,s22,s67,s889,s646,s10714,s10767,s859,s6071,s4903,s9523,s9764,s12571]) ).
cnf(s12781,plain,
( spl2_29
| ~ spl2_693
| spl2_269
| ~ spl2_47
| ~ spl2_84
| spl2_244
| spl2_202
| ~ spl2_644
| ~ spl2_204
| ~ spl2_324
| spl2_93
| ~ spl2_98
| spl2_308
| ~ spl2_31
| ~ spl2_231
| spl2_149 ),
inference(rat,[],[s463,s1164,s310,s3834,s3956,s8286,s3958,s7171,s4995,s3671,s3830,s9220,s10962,s5386,s8871,s9673,s1142,s879,s4055,s3326,s11430,s6897,s8556,s451,s307,s7471,s330,s5262,s11511,s711,s3842,s12,s1617,s10383,s889,s646,s1222,s4764,s8870,s11413,s2058,s12571]) ).
cnf(s12782,plain,
( ~ spl2_169
| ~ spl2_254
| ~ spl2_111
| ~ spl2_94 ),
inference(rat,[],[s529,s8384]) ).
cnf(s12784,plain,
( spl2_44
| ~ spl2_345
| spl2_244
| ~ spl2_204
| ~ spl2_98
| spl2_19
| spl2_308
| spl2_278 ),
inference(rat,[],[s3289,s4170,s10697,s5995,s8,s10726,s711,s1690]) ).
cnf(s12785,plain,
( ~ spl2_94
| ~ spl2_132
| spl2_244
| spl2_202
| spl2_234
| spl2_93
| ~ spl2_98
| ~ spl2_26
| spl2_308
| ~ spl2_31
| spl2_278
| spl2_149 ),
inference(rat,[],[s10333,s6195,s3703,s8868,s1164,s4290,s4002,s4055,s10715,s11556,s310,s11558,s10849,s3956,s307,s3958,s5262,s12784,s4932,s12781,s5381,s12613,s8870,s7575,s11413,s5588,s2058,s12775,s504,s733,s889,s646,s10714,s10767,s859,s4903,s9523,s424,s7597,s4760,s5255,s12571]) ).
cnf(s12788,plain,
( ~ spl2_47
| spl2_346
| spl2_4
| spl2_244
| spl2_234
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s11377,s4044,s11409,s3956,s3958,s12784,s2058,s22,s67,s889,s646,s829,s10767,s859,s6071,s7597,s4760,s5255,s5518,s12771,s12571]) ).
cnf(s12789,plain,
( spl2_94
| spl2_202
| spl2_234
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s3958,s3956,s711,s1029,s11499,s12788,s4995,s4007,s1617,s3476,s11352,s11687,s154,s8947,s10250,s889,s646,s9523,s10767,s859,s6071,s10232,s12779,s829,s12771,s5518,s12571]) ).
cnf(s12790,plain,
( spl2_202
| spl2_234
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s3958,s4995,s3956,s12784,s9519,s11744,s2058,s12785,s504,s12789,s7597,s4760,s5255,s12779,s22,s67,s889,s646,s829,s10767,s859,s12771,s5518,s6071,s12571]) ).
cnf(s12791,plain,
( spl2_269
| spl2_140
| spl2_364
| spl2_44
| ~ spl2_244
| ~ spl2_556
| spl2_226
| spl2_93
| ~ spl2_26
| ~ spl2_231 ),
inference(rat,[],[s4715,s307,s9505,s9372,s8870,s1505,s1593,s8869,s5254,s7575,s5588,s10268]) ).
cnf(s12792,plain,
( spl2_84
| ~ spl2_202
| ~ spl2_130
| spl2_226
| spl2_93
| ~ spl2_98
| ~ spl2_26
| spl2_308
| ~ spl2_31
| spl2_278
| spl2_149 ),
inference(rat,[],[s9519,s2641,s5512,s12772,s12791,s1857,s3935,s3096,s10715,s926,s4048,s10836,s10697,s10726,s6993,s349,s1690,s12777,s604,s1676,s3927,s5255,s11009,s4760,s3928,s7597,s733,s889,s646,s402,s10767]) ).
cnf(s12793,plain,
( ~ spl2_556
| spl2_269
| ~ spl2_244
| spl2_104
| ~ spl2_204
| spl2_226
| spl2_93
| ~ spl2_26
| spl2_308
| ~ spl2_231 ),
inference(rat,[],[s12791,s5650,s1690,s5254,s3927,s8869,s7575]) ).
cnf(s12794,plain,
( ~ spl2_589
| ~ spl2_4
| spl2_269
| spl2_301
| ~ spl2_94
| ~ spl2_98
| ~ spl2_231 ),
inference(rat,[],[s12198,s10964,s8545,s1347,s7538,s9501,s4788]) ).
cnf(s12795,plain,
( ~ spl2_244
| ~ spl2_84
| ~ spl2_202
| ~ spl2_130
| spl2_226
| ~ spl2_324
| spl2_93
| ~ spl2_98
| ~ spl2_26
| spl2_308
| spl2_278
| spl2_149 ),
inference(rat,[],[s12712,s10268,s1912,s573,s12599,s4518,s5381,s12613,s8870,s12794,s451,s5329,s7471,s4044,s4760,s12793,s8869,s7575,s1259,s12775,s8,s1041,s11400,s424,s10697,s12230,s9521,s349,s7277,s12777,s604,s733,s889,s646,s4903,s402,s10767,s12571]) ).
cnf(s12796,plain,
( ~ spl2_94
| ~ spl2_555
| spl2_244
| ~ spl2_84
| ~ spl2_202
| spl2_226
| ~ spl2_324
| spl2_93
| ~ spl2_98
| ~ spl2_231
| ~ spl2_7 ),
inference(rat,[],[s12613,s12794,s7575,s1259,s5562,s11556,s11400,s445,s12230,s9521,s4060,s7277,s11374,s504,s12571]) ).
cnf(s12797,plain,
( spl2_234
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s2058,s11499,s12784,s711,s394,s1617,s11352,s11687,s8947,s12796,s4760,s5255,s12795,s12792,s402,s12790,s10767,s9523,s859,s10714,s733,s5518,s22,s67,s889,s6071,s646,s829,s12771,s12571]) ).
cnf(s12798,plain,
( ~ spl2_191
| spl2_363
| ~ spl2_209
| spl2_455
| spl2_703
| spl2_93
| ~ spl2_98
| spl2_278 ),
inference(rat,[],[s6675,s12613,s12463,s9326]) ).
cnf(s12799,plain,
( ~ spl2_589
| ~ spl2_254
| spl2_269
| spl2_301
| ~ spl2_94
| ~ spl2_98
| ~ spl2_231 ),
inference(rat,[],[s12198,s10964,s1347,s7538,s9501,s4788]) ).
cnf(s12800,plain,
( ~ spl2_132
| spl2_301
| spl2_455
| spl2_391
| ~ spl2_94
| ~ spl2_337
| ~ spl2_556
| spl2_703
| spl2_93
| ~ spl2_98
| spl2_278 ),
inference(rat,[],[s9323,s9257,s7971,s12613,s8870,s12799,s5254,s4788,s5562,s445,s12798,s5512,s733,s10735,s12571]) ).
cnf(s12801,plain,
( ~ spl2_94
| ~ spl2_337
| ~ spl2_556
| ~ spl2_40
| spl2_703
| ~ spl2_141
| ~ spl2_234
| spl2_93
| ~ spl2_98
| spl2_229
| spl2_278 ),
inference(rat,[],[s12799,s5254,s5562,s445,s9369,s12764,s6370,s201,s12800,s10519,s2848,s1857,s6993,s733,s5255,s12571]) ).
cnf(s12802,plain,
( ~ spl2_191
| ~ spl2_195
| spl2_376
| ~ spl2_29
| ~ spl2_644
| spl2_703
| ~ spl2_141
| ~ spl2_234
| spl2_93
| spl2_197
| spl2_229
| spl2_278 ),
inference(rat,[],[s1609,s1505,s3675,s7815,s8869,s8870,s11642,s9326]) ).
cnf(s12803,plain,
( ~ spl2_589
| ~ spl2_181
| spl2_301
| ~ spl2_132
| ~ spl2_98
| ~ spl2_231 ),
inference(rat,[],[s5512,s3056,s8646,s10964,s1347,s7538,s9501,s4788,s5562,s12571]) ).
cnf(s12804,plain,
( spl2_84
| spl2_202
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s3675,s12613,s1609,s5381,s1505,s8870,s12803,s4518,s5254,s5562,s445,s12802,s10288,s10511,s12777,s5463,s12801,s8305,s5255,s6288,s11009,s4295,s4760,s3935,s7596,s3928,s9715,s7597,s4759,s733,s641,s22,s889,s6071,s6545,s67,s5518,s829,s12771,s1263,s9764,s11416,s724,s646,s12797,s12571]) ).
cnf(s12805,plain,
( spl2_471
| spl2_589
| ~ spl2_111
| ~ spl2_94
| ~ spl2_141
| ~ spl2_234
| spl2_93
| ~ spl2_98
| spl2_229
| ~ spl2_231 ),
inference(rat,[],[s5562,s445,s4788,s6756,s9257,s10964,s12782,s6675,s7815,s10735,s12613,s10519,s2848,s12571]) ).
cnf(s12806,plain,
( ~ spl2_94
| ~ spl2_84
| spl2_202
| ~ spl2_234
| spl2_93
| ~ spl2_98
| spl2_17
| spl2_278
| spl2_149 ),
inference(rat,[],[s11559,s11507,s10791,s1436,s4052,s5995,s307,s4170,s5262,s2590,s12784,s10767,s8943,s1259,s11400,s12768,s4760,s10964,s5255,s4945,s6993,s12805,s8870,s12774,s2058,s504,s4438,s4761,s733,s641,s67,s889,s6071,s646,s1263,s9764,s12571]) ).
cnf(s12807,plain,
( ~ spl2_269
| ~ spl2_40
| ~ spl2_209
| ~ spl2_244
| ~ spl2_119
| spl2_703
| ~ spl2_141
| ~ spl2_234
| spl2_93
| ~ spl2_98
| spl2_229
| spl2_278 ),
inference(rat,[],[s6355,s3623,s5642,s7815,s12613,s2848,s4945,s10964,s9496,s6756,s12464,s8870,s9326,s445,s5562,s12571]) ).
cnf(s12808,plain,
( ~ spl2_589
| spl2_301
| ~ spl2_132
| spl2_703
| ~ spl2_98
| spl2_278 ),
inference(rat,[],[s445,s12803,s9369,s733]) ).
cnf(s12809,plain,
( ~ spl2_191
| spl2_177
| ~ spl2_355
| spl2_593
| ~ spl2_132
| spl2_94
| ~ spl2_84
| spl2_202
| ~ spl2_234
| spl2_93
| ~ spl2_98
| spl2_19
| ~ spl2_31 ),
inference(rat,[],[s3619,s11499,s11541,s1199,s2848,s3158,s4945,s7276,s5512,s10964,s12463,s6756]) ).
cnf(s12810,plain,
( ~ spl2_254
| spl2_390
| spl2_589
| ~ spl2_29
| spl2_376
| ~ spl2_244
| spl2_93
| spl2_197 ),
inference(rat,[],[s3675,s12613,s10288,s1609,s5381,s1904,s1505,s4518,s8870]) ).
cnf(s12811,plain,
( ~ spl2_132
| ~ spl2_244
| spl2_202
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s129,s394,s4170,s12580,s11499,s5995,s5329,s12053,s10726,s7471,s11638,s11640,s6600,s12674,s4760,s12613,s5254,s7815,s12810,s7410,s12809,s12464,s8870,s12808,s4788,s12807,s1617,s6288,s11352,s11687,s1259,s4605,s10735,s9114,s10511,s9320,s733,s641,s22,s889,s6071,s6545,s67,s1263,s9764,s154,s10250,s12806,s12804,s829,s12771,s5518,s11416,s724,s646,s12797,s12571]) ).
cnf(s12812,plain,
( ~ spl2_244
| spl2_202
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s11445,s129,s3786,s8556,s8947,s7471,s11687,s10963,s6613,s3842,s11397,s1906,s10962,s11499,s170,s2519,s11497,s12053,s11638,s11640,s4760,s5463,s12811,s733,s641,s888,s889,s6071,s9764,s154,s10250,s12806,s12804,s829,s12771,s5518,s11416,s724,s646,s12797,s12571]) ).
cnf(s12816,plain,
( ~ spl2_47
| spl2_301
| ~ spl2_180
| spl2_244
| ~ spl2_84
| spl2_202
| ~ spl2_234
| spl2_93
| ~ spl2_98
| spl2_308
| spl2_278
| spl2_149 ),
inference(rat,[],[s2590,s4048,s12784,s10836,s10830,s11558,s12767,s2058,s733,s889,s646,s4760,s5255]) ).
cnf(s12817,plain,
( spl2_301
| spl2_244
| ~ spl2_120
| spl2_94
| ~ spl2_84
| spl2_202
| ~ spl2_234
| spl2_93
| ~ spl2_98
| spl2_308
| spl2_278
| spl2_149 ),
inference(rat,[],[s10830,s12698,s11563,s9111,s9734,s11499,s12816,s889,s11614,s4760,s5255,s733,s646,s12571]) ).
cnf(s12818,plain,
( spl2_202
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s9734,s11499,s11563,s12768,s4929,s10511,s12817,s4760,s5255,s12812,s154,s10250,s12806,s12804,s11416,s9764,s724,s5518,s67,s889,s6071,s646,s829,s12771,s12797,s12571]) ).
cnf(s12819,plain,
( ~ spl2_244
| ~ spl2_94
| ~ spl2_202
| ~ spl2_234 ),
inference(rat,[],[s9354,s2614,s8513]) ).
cnf(s12820,plain,
( ~ spl2_94
| ~ spl2_202
| ~ spl2_234
| ~ spl2_98
| spl2_278
| spl2_149 ),
inference(rat,[],[s504,s379,s7597,s4760,s5255,s12819]) ).
cnf(s12821,plain,
( ~ spl2_244
| spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s9496,s5306,s445,s7156,s5562,s5254,s1505,s1609,s3696,s3675,s10964,s12613,s1867,s2848,s656,s12661,s3619,s12464,s4243,s8870,s10735,s6288,s12808,s10511,s10696,s10288,s1259,s5463,s12777,s8947,s11009,s4760,s7596,s3928,s7597,s379,s604,s4759,s724,s22,s889,s6071,s646,s6545,s67,s829,s10250,s12820,s12818,s12797,s12771,s5518,s12571]) ).
cnf(s12822,plain,
( ~ spl2_191
| spl2_363
| spl2_47
| ~ spl2_555
| ~ spl2_119
| ~ spl2_98 ),
inference(rat,[],[s4650,s650,s12463,s4060]) ).
cnf(s12823,plain,
( spl2_17
| spl2_139
| spl2_149 ),
inference(rat,[],[s8646,s8664,s9257,s12613,s4788,s12803,s5562,s445,s12822,s10735,s10519,s2848,s5512,s12770,s4944,s3158,s9111,s1199,s9734,s11499,s379,s7597,s4760,s5093,s5255,s12821,s10250,s12820,s12818,s12797,s829,s12771,s889,s6071,s22,s646,s733,s5518,s12571]) ).
cnf(s12824,plain,
( ~ spl2_589
| ~ spl2_556
| ~ spl2_94
| spl2_703
| ~ spl2_128
| spl2_234
| spl2_278 ),
inference(rat,[],[s445,s5562,s9369,s12702,s12571]) ).
cnf(s12825,plain,
( ~ spl2_140
| ~ spl2_191
| ~ spl2_693
| ~ spl2_455
| ~ spl2_244
| ~ spl2_17 ),
inference(rat,[],[s8547,s528,s10383,s5387,s6600,s4518]) ).
cnf(s12826,plain,
( ~ spl2_556
| spl2_93
| ~ spl2_244
| ~ spl2_94
| spl2_703
| spl2_202
| spl2_98
| spl2_234
| ~ spl2_17
| spl2_229
| spl2_278 ),
inference(rat,[],[s5749,s2435,s10767,s4715,s7548,s6801,s10751,s9356,s11694,s8646,s7090,s1968,s2641,s6070,s453,s9521,s10792,s6186,s12825,s4390,s1524,s445,s5562,s8869,s5254,s7815,s4518,s5381,s12633,s8870,s12824,s733,s10714,s186,s6370,s4903,s851,s168,s201,s9321,s9791,s1263,s6993,s12571]) ).
cnf(s12827,plain,
( ~ spl2_589
| ~ spl2_94
| spl2_703
| spl2_202
| ~ spl2_128
| spl2_234
| spl2_278 ),
inference(rat,[],[s12671,s6026,s4788,s5562,s445,s9369,s733,s12571]) ).
cnf(s12828,plain,
( spl2_93
| ~ spl2_244
| ~ spl2_94
| spl2_202
| spl2_98
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s5440,s2448,s879,s9219,s3703,s10962,s8935,s1041,s12579,s7143,s8556,s451,s7471,s12674,s5381,s4760,s12633,s8870,s12826,s733,s641,s646,s12823,s10714,s6370,s4903,s168,s9791,s12827,s9764,s201,s9321,s5518,s6993,s12571]) ).
cnf(s12829,plain,
( ~ spl2_244
| ~ spl2_94
| spl2_202
| spl2_98
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s2056,s1344,s4576,s9131,s9142,s5102,s827,s5119,s11726,s5118,s12828,s5186,s851,s168,s201,s9321,s9791,s5518,s12823,s12571]) ).
cnf(s12830,plain,
( ~ spl2_94
| spl2_202
| spl2_98
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s310,s504,s8212,s91,s4760,s230,s5255,s10232,s12829,s5910,s646,s851,s168,s201,s9321,s9791,s5518,s12823,s12571]) ).
cnf(s12831,plain,
( ~ spl2_589
| ~ spl2_20
| spl2_703
| spl2_202
| ~ spl2_128
| spl2_234
| ~ spl2_17
| spl2_278 ),
inference(rat,[],[s6413,s4699,s4595,s656,s9497,s526,s9329,s6026,s9501,s4788,s5562,s445,s9369,s12715,s733,s10714,s4903,s851,s168,s9791,s12571]) ).
cnf(s12832,plain,
( ~ spl2_188
| ~ spl2_191
| spl2_84
| spl2_93
| ~ spl2_20
| ~ spl2_555
| ~ spl2_120
| spl2_4
| spl2_703
| ~ spl2_178
| ~ spl2_128
| ~ spl2_110
| spl2_234
| spl2_139 ),
inference(rat,[],[s11499,s10280,s11500,s11694,s3317,s1968,s4060,s4390,s4903,s168,s9791,s5518,s12571]) ).
cnf(s12833,plain,
( ~ spl2_455
| ~ spl2_140
| ~ spl2_191
| ~ spl2_355
| ~ spl2_244
| ~ spl2_17 ),
inference(rat,[],[s12825,s5381]) ).
cnf(s12834,plain,
( ~ spl2_191
| spl2_84
| spl2_93
| spl2_589
| ~ spl2_555
| ~ spl2_120
| spl2_4
| spl2_703
| ~ spl2_141
| spl2_98
| spl2_234
| ~ spl2_17
| spl2_229
| spl2_139 ),
inference(rat,[],[s4788,s7901,s12678,s10288,s12613,s12596,s12833,s10792,s453,s12832,s4390,s733,s10714,s186,s6370,s4903,s851,s168,s201,s9321,s9791,s5518,s1259,s10232,s8212,s8870,s12571]) ).
cnf(s12835,plain,
( ~ spl2_308
| spl2_19
| ~ spl2_140
| ~ spl2_47
| ~ spl2_181
| spl2_84
| spl2_93
| spl2_589
| spl2_754
| ~ spl2_244
| ~ spl2_40
| ~ spl2_555
| spl2_202
| ~ spl2_178
| spl2_132
| ~ spl2_17
| spl2_229
| spl2_278 ),
inference(rat,[],[s6600,s10383,s12613,s12,s7815,s573,s5002,s3698,s6061,s11677,s1263,s8212,s8870,s12571]) ).
cnf(s12836,plain,
( ~ spl2_29
| ~ spl2_140
| ~ spl2_47
| spl2_593
| spl2_93
| spl2_589
| ~ spl2_20
| ~ spl2_244
| ~ spl2_555
| spl2_202
| ~ spl2_231 ),
inference(rat,[],[s7901,s3317,s10288,s12613,s11586,s11992,s6600,s1237,s996,s12571]) ).
cnf(s12837,plain,
( ~ spl2_140
| ~ spl2_47
| ~ spl2_181
| spl2_84
| spl2_93
| spl2_589
| spl2_754
| ~ spl2_244
| ~ spl2_5
| ~ spl2_40
| ~ spl2_555
| spl2_202
| ~ spl2_178
| spl2_132
| ~ spl2_17
| spl2_229
| spl2_139 ),
inference(rat,[],[s2822,s10279,s10332,s12835,s1617,s12836,s8212,s4788,s5562,s733,s5518,s12571]) ).
cnf(s12838,plain,
( ~ spl2_47
| ~ spl2_181
| spl2_84
| spl2_93
| spl2_754
| ~ spl2_244
| ~ spl2_5
| ~ spl2_40
| ~ spl2_555
| spl2_703
| spl2_202
| spl2_132
| spl2_234
| ~ spl2_17
| spl2_139
| ~ spl2_7 ),
inference(rat,[],[s2448,s11405,s879,s9221,s9219,s3703,s1122,s10962,s3325,s8935,s1041,s12579,s7143,s8556,s451,s7471,s12674,s5381,s12613,s5603,s7575,s9521,s6186,s12837,s724,s733,s641,s10714,s851,s168,s9791,s8870,s12831,s8212,s201,s5518,s5562,s12571]) ).
cnf(s12839,plain,
( spl2_84
| spl2_93
| ~ spl2_555
| ~ spl2_120
| spl2_4
| spl2_703
| spl2_202
| spl2_98
| spl2_234
| ~ spl2_17
| spl2_139
| ~ spl2_7 ),
inference(rat,[],[s2822,s10279,s1617,s12545,s11499,s1029,s11500,s12838,s445,s12834,s641,s851,s168,s9791,s1263,s11352,s11687,s10232,s7459,s1259,s186,s724,s12831,s8212,s201,s9321,s5518,s12571]) ).
cnf(s12840,plain,
( ~ spl2_84
| ~ spl2_20
| ~ spl2_5
| ~ spl2_178
| spl2_132 ),
inference(rat,[],[s170,s310]) ).
cnf(s12841,plain,
( spl2_202
| spl2_98
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s1519,s5102,s5118,s12839,s12840,s8212,s10232,s11352,s11687,s4760,s154,s8947,s5463,s10250,s12830,s9764,s5910,s646,s851,s168,s201,s9321,s9791,s5518,s12823,s12571]) ).
cnf(s12842,plain,
( ~ spl2_191
| spl2_589
| ~ spl2_556
| ~ spl2_244
| spl2_93
| ~ spl2_94
| ~ spl2_202
| ~ spl2_178
| ~ spl2_644
| spl2_207
| ~ spl2_324
| ~ spl2_17
| spl2_278
| ~ spl2_156 ),
inference(rat,[],[s5749,s10767,s2435,s5262,s4715,s453,s10792,s6186,s7512,s5254,s526,s12707,s2438,s8975,s4390,s3619,s4243,s8870,s604]) ).
cnf(s12843,plain,
( spl2_589
| spl2_84
| ~ spl2_556
| ~ spl2_244
| spl2_93
| ~ spl2_94
| ~ spl2_202
| ~ spl2_178
| ~ spl2_644
| ~ spl2_128
| ~ spl2_324
| ~ spl2_17
| spl2_278
| ~ spl2_156 ),
inference(rat,[],[s10335,s1867,s12707,s6026,s5254,s5562,s445,s12842,s656,s3619,s4243,s8870,s6370,s604,s12571]) ).
cnf(s12844,plain,
( ~ spl2_589
| ~ spl2_556
| spl2_471
| spl2_93
| ~ spl2_94
| spl2_98
| spl2_234
| ~ spl2_17
| spl2_278 ),
inference(rat,[],[s4715,s2435,s307,s5749,s9367,s10696,s7548,s7090,s8869,s526,s4772,s7855,s9362,s8646,s6070,s445,s9765,s9760,s5562,s12824,s12715,s12702,s10714,s6370,s4903,s851,s168,s201,s9321,s9791,s12571]) ).
cnf(s12845,plain,
( spl2_555
| ~ spl2_244
| spl2_93
| ~ spl2_94
| spl2_98
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s5002,s1259,s6061,s6186,s26,s1617,s5254,s9075,s9519,s3348,s5562,s310,s7277,s4438,s445,s12843,s12842,s8870,s12844,s3842,s4760,s3965,s4759,s646,s10714,s6370,s4903,s3022,s851,s168,s201,s9321,s9791,s5518,s12823,s604,s12841,s6993,s12571]) ).
cnf(s12846,plain,
( ~ spl2_244
| spl2_93
| ~ spl2_94
| spl2_98
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s6059,s10964,s2369,s1867,s8869,s6026,s10767,s7575,s9521,s5562,s6186,s445,s4354,s4060,s656,s4105,s310,s11589,s349,s8212,s12845,s604,s724,s733,s851,s168,s201,s9321,s9791,s5518,s12823,s12841,s12571]) ).
cnf(s12847,plain,
( spl2_244
| ~ spl2_94
| spl2_132
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s310,s504,s8212,s91,s4760,s230,s5255,s10232,s5910,s646,s851,s168,s201,s9791,s5518,s12823,s12571]) ).
cnf(s12848,plain,
( ~ spl2_93
| ~ spl2_202
| spl2_118
| spl2_98
| spl2_234 ),
inference(rat,[],[s12751,s825]) ).
cnf(s12849,plain,
( ~ spl2_94
| spl2_98
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s12846,s12847,s12848,s12841,s5910,s9321,s646,s12571]) ).
cnf(s12850,plain,
( spl2_98
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s6059,s10964,s2369,s7960,s8869,s715,s10767,s7575,s9521,s5562,s6186,s445,s4354,s4060,s656,s4105,s11589,s349,s604,s8212,s10232,s4760,s154,s5463,s10250,s12849,s12848,s12841,s851,s168,s5910,s201,s9321,s646,s724,s733,s12823,s9791,s5518,s12571]) ).
cnf(s12851,plain,
( ~ spl2_191
| ~ spl2_337
| ~ spl2_244
| spl2_703
| ~ spl2_141
| ~ spl2_132
| ~ spl2_94
| ~ spl2_178
| ~ spl2_644
| spl2_93
| ~ spl2_98
| ~ spl2_17
| spl2_229
| spl2_278 ),
inference(rat,[],[s11694,s1968,s4170,s453,s5995,s10792,s12833,s12613,s7815,s7971,s9323,s8870,s4390,s9326]) ).
cnf(s12852,plain,
( ~ spl2_254
| ~ spl2_244
| spl2_202
| ~ spl2_132
| ~ spl2_94
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s3047,s11694,s9074,s5027,s10857,s10767,s650,s4001,s7911,s656,s526,s7572,s9329,s9501,s12799,s8870,s1505,s1593,s5650,s9320,s4788,s9330,s8869,s7575,s5562,s445,s733,s859,s12851,s8305,s9764,s1263,s851,s4903,s9523,s829,s12850,s12823,s641,s646,s5518,s12571]) ).
cnf(s12853,plain,
( ~ spl2_555
| ~ spl2_94
| ~ spl2_178
| ~ spl2_98
| ~ spl2_17 ),
inference(rat,[],[s310,s504,s7597,s8212]) ).
cnf(s12854,plain,
( spl2_202
| ~ spl2_132
| ~ spl2_94
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s5562,s445,s5254,s12851,s12852,s9764,s1263,s641,s646,s4903,s8305,s5255,s4760,s12853,s851,s9523,s829,s12850,s12823,s5518,s12571]) ).
cnf(s12855,plain,
( ~ spl2_355
| ~ spl2_169
| ~ spl2_191
| spl2_186
| ~ spl2_47
| ~ spl2_202
| ~ spl2_132
| ~ spl2_337
| ~ spl2_94
| ~ spl2_98
| spl2_149 ),
inference(rat,[],[s5512,s1857,s8646,s1259,s1347,s4634,s8975,s3467,s3619,s7971,s4243,s4759,s9323]) ).
cnf(s12856,plain,
( ~ spl2_191
| spl2_186
| ~ spl2_47
| ~ spl2_202
| ~ spl2_132
| ~ spl2_337
| ~ spl2_94
| ~ spl2_644
| spl2_93
| ~ spl2_98
| spl2_278
| spl2_149 ),
inference(rat,[],[s1857,s1259,s5512,s8545,s8646,s12198,s1347,s9362,s8870,s12855,s4390]) ).
cnf(s12857,plain,
( spl2_191
| ~ spl2_202
| ~ spl2_132
| ~ spl2_244
| ~ spl2_556
| ~ spl2_94
| spl2_226
| spl2_93
| ~ spl2_98
| ~ spl2_231 ),
inference(rat,[],[s12803,s8870,s7587,s1505,s7910,s1593,s9330,s5650,s8869,s5254,s7575,s5562,s445,s12571]) ).
cnf(s12858,plain,
( ~ spl2_132
| ~ spl2_94
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s11400,s2843,s1259,s2739,s680,s678,s12856,s12857,s7344,s604,s12854,s5686,s646,s733,s859,s4903,s8305,s5255,s4760,s12853,s851,s9523,s829,s12850,s12823,s5518,s12571]) ).
cnf(s12859,plain,
( spl2_202
| ~ spl2_94
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s11694,s1968,s4170,s453,s5995,s10792,s12833,s4390,s445,s5562,s5254,s4518,s5381,s12633,s8870,s12824,s9764,s733,s641,s646,s10714,s4903,s6993,s5255,s4760,s12853,s851,s9523,s829,s12850,s12823,s6370,s201,s12858,s5518,s12571]) ).
cnf(s12860,plain,
( ~ spl2_94
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s9362,s1347,s445,s8646,s5562,s12715,s12702,s12843,s7277,s604,s12859,s2641,s9521,s201,s12858,s6993,s5255,s4760,s12853,s4759,s733,s10714,s859,s4903,s851,s9523,s5518,s829,s12850,s12823,s12571]) ).
cnf(s12861,plain,
( ~ spl2_254
| ~ spl2_269
| ~ spl2_47
| ~ spl2_191
| ~ spl2_244
| spl2_202
| ~ spl2_132
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s11694,s3047,s5027,s9073,s11700,s3956,s11546,s8081,s10963,s4937,s7471,s10962,s8952,s6220,s8868,s8871,s8167,s3644,s10502,s12632,s2641,s3619,s10735,s8975,s9508,s1347,s7909,s5642,s12613,s6355,s5381,s3623,s4518,s4759,s733,s10714,s851,s12823,s1259,s8947,s12860,s9320,s11529,s4390,s4903,s9523,s8870,s9326,s5518,s9764,s829,s12850,s5562,s12571]) ).
cnf(s12862,plain,
( spl2_254
| spl2_589
| ~ spl2_169
| ~ spl2_191
| ~ spl2_244
| ~ spl2_141
| ~ spl2_119
| ~ spl2_178
| spl2_93
| ~ spl2_98
| ~ spl2_17
| spl2_229
| spl2_278 ),
inference(rat,[],[s453,s1968,s10792,s2642,s12833,s12463,s12613,s4650,s7815,s8870]) ).
cnf(s12863,plain,
( ~ spl2_191
| ~ spl2_244
| spl2_202
| ~ spl2_132
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s1347,s8975,s5642,s650,s6355,s12861,s7575,s12613,s5381,s3623,s4518,s12862,s8870,s9326,s4390,s4759,s733,s641,s646,s859,s4903,s851,s12823,s10250,s1259,s8947,s12860,s9523,s5518,s829,s12850,s1263,s9764,s12571]) ).
cnf(s12864,plain,
( ~ spl2_254
| ~ spl2_244
| spl2_202
| ~ spl2_132
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s3047,s11694,s9074,s5027,s10857,s10767,s650,s4001,s7911,s656,s526,s7572,s9329,s9501,s12803,s8870,s1505,s1593,s5650,s851,s9523,s12823,s9320,s4788,s9330,s8869,s7575,s5562,s445,s733,s5518,s859,s829,s12850,s12863,s12571]) ).
cnf(s12865,plain,
( ~ spl2_555
| ~ spl2_132
| spl2_4
| spl2_94
| ~ spl2_178
| ~ spl2_98
| ~ spl2_17 ),
inference(rat,[],[s6565,s11694,s9300,s5027,s10383,s4953,s1029,s11699,s310,s7597,s8212]) ).
cnf(s12866,plain,
( spl2_202
| ~ spl2_132
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s5562,s5254,s445,s12864,s12863,s5255,s4760,s12865,s8947,s12860,s851,s9523,s829,s12850,s12823,s5518,s12571]) ).
cnf(s12867,plain,
( spl2_182
| ~ spl2_191
| ~ spl2_47
| ~ spl2_202
| spl2_93
| spl2_278
| ~ spl2_156 ),
inference(rat,[],[s4243,s8870,s3619,s9362,s8975]) ).
cnf(s12868,plain,
( spl2_308
| ~ spl2_244
| spl2_94
| ~ spl2_130
| spl2_226
| ~ spl2_98
| spl2_278
| ~ spl2_7 ),
inference(rat,[],[s12777,s10767,s889,s4953]) ).
cnf(s12869,plain,
( ~ spl2_132
| spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s4354,s3921,s10792,s3949,s5995,s4170,s11694,s5027,s12868,s604,s12866,s5255,s4760,s12865,s646,s859,s851,s12823,s8947,s12860,s9523,s5518,s829,s12850,s12571]) ).
cnf(s12870,plain,
( spl2_234
| spl2_139
| spl2_149 ),
inference(rat,[],[s12840,s7597,s8212,s4760,s5463,s12869,s11352,s11687,s8947,s12860,s851,s9523,s829,s12850,s5518,s12823,s12571]) ).
cnf(s12871,plain,
( ~ spl2_94
| ~ spl2_244
| ~ spl2_132
| spl2_139
| spl2_149 ),
inference(rat,[],[s12801,s4760,s3935,s7597,s4438,s12805,s12808,s11416,s9764,s1263,s6993,s12819,s733,s641,s5518,s646,s10511,s12870,s724,s829,s9321,s8305,s12571]) ).
cnf(s12872,plain,
( ~ spl2_254
| spl2_269
| spl2_589
| spl2_202
| ~ spl2_244
| spl2_93
| spl2_301
| ~ spl2_98
| ~ spl2_17
| spl2_229
| ~ spl2_231
| ~ spl2_156 ),
inference(rat,[],[s11694,s1968,s6565,s7901,s851,s4010,s10288,s7596,s12596,s7276,s6186,s3619,s650,s9257,s7575,s11541,s12613,s5381,s4518,s10735,s1263,s8870,s4788]) ).
cnf(s12873,plain,
( spl2_202
| ~ spl2_244
| ~ spl2_132
| spl2_139
| spl2_149 ),
inference(rat,[],[s11386,s8556,s5243,s7471,s330,s11558,s12674,s11640,s7597,s8212,s12613,s4760,s7815,s5254,s12872,s12807,s1259,s12808,s4605,s9764,s1263,s4759,s733,s641,s5518,s646,s12823,s10735,s9114,s10511,s12870,s724,s829,s9321,s9320,s10250,s12871,s12571]) ).
cnf(s12874,plain,
( ~ spl2_191
| ~ spl2_244
| ~ spl2_132
| spl2_139
| spl2_149 ),
inference(rat,[],[s6186,s12868,s9111,s5027,s7532,s2642,s3696,s8646,s526,s1347,s12867,s4390,s646,s5518,s829,s12871,s4299,s9320,s851,s7596,s379,s604,s12873,s12870,s4759,s9321,s12823,s12571]) ).
cnf(s12875,plain,
( ~ spl2_244
| ~ spl2_132
| spl2_139
| spl2_149 ),
inference(rat,[],[s7901,s1597,s10288,s1617,s1904,s6061,s8410,s6186,s7575,s12613,s5381,s5002,s4518,s8870,s5254,s4788,s12803,s5562,s445,s12874,s1259,s1343,s8947,s851,s4760,s3842,s7596,s7597,s10296,s379,s604,s12873,s12871,s4759,s646,s733,s5518,s12823,s10511,s12870,s724,s829,s9321,s12571]) ).
cnf(s12876,plain,
( ~ spl2_94
| ~ spl2_555
| ~ spl2_637
| ~ spl2_98
| ~ spl2_17
| spl2_139 ),
inference(rat,[],[s1690,s2822,s10792,s888,s5995,s3786,s4170,s351,s3289,s4618,s2058,s851,s10715,s504,s12853,s5518,s8212,s7597,s12571]) ).
cnf(s12877,plain,
( spl2_202
| spl2_94
| ~ spl2_555
| spl2_93
| spl2_301
| ~ spl2_132
| ~ spl2_234
| ~ spl2_17
| ~ spl2_231
| ~ spl2_7 ),
inference(rat,[],[s9300,s10383,s6803,s1029,s12865,s11558,s4096,s11614,s4007,s9320,s8212,s7597,s9321,s12571]) ).
cnf(s12878,plain,
( ~ spl2_132
| spl2_139
| spl2_149 ),
inference(rat,[],[s6803,s12865,s9300,s11873,s10383,s1029,s11905,s12877,s12876,s7597,s8212,s4760,s5255,s12875,s9114,s829,s10511,s9320,s9321,s646,s724,s733,s5518,s12823,s12870,s12571]) ).
cnf(s12879,plain,
( ~ spl2_94
| ~ spl2_244
| spl2_93
| spl2_98
| spl2_139
| spl2_149 ),
inference(rat,[],[s11687,s3842,s10856,s1617,s10921,s5078,s2822,s2590,s1690,s351,s9367,s307,s8310,s1964,s7397,s6539,s8869,s7814,s8646,s5937,s5939,s3696,s10964,s526,s11541,s7538,s9501,s4788,s5562,s445,s6186,s9369,s12763,s9519,s10735,s12764,s10519,s2848,s9764,s1263,s6993,s12819,s733,s641,s646,s12823,s12870,s6370,s201,s12878,s5518,s186,s8305,s12571]) ).
cnf(s12880,plain,
( ~ spl2_47
| ~ spl2_206
| ~ spl2_180
| spl2_202
| ~ spl2_555
| ~ spl2_244
| spl2_93
| spl2_118
| ~ spl2_128
| ~ spl2_234
| ~ spl2_17
| ~ spl2_231 ),
inference(rat,[],[s225,s11665,s11639,s11558,s4041,s8212,s12571]) ).
cnf(s12881,plain,
( spl2_4
| ~ spl2_286
| ~ spl2_371
| spl2_203
| spl2_299
| spl2_47
| ~ spl2_206
| ~ spl2_180
| spl2_703
| ~ spl2_20
| spl2_93
| ~ spl2_110
| spl2_139
| spl2_149 ),
inference(rat,[],[s8871,s11643,s9524,s170,s11352,s11687,s1259,s724,s12823,s12870,s12878,s2604,s650,s10963,s11397,s2519,s641,s5518,s646,s7471,s12571]) ).
cnf(s12882,plain,
( spl2_202
| spl2_94
| ~ spl2_244
| spl2_93
| ~ spl2_110
| spl2_139
| spl2_149 ),
inference(rat,[],[s2822,s43,s10332,s889,s7,s5885,s26,s12881,s1113,s10963,s8869,s6613,s11397,s1522,s7815,s10962,s2519,s650,s1029,s11608,s12880,s11638,s11614,s10692,s9764,s1263,s733,s641,s5518,s12870,s201,s154,s10250,s5910,s646,s8212,s4760,s5463,s12878,s12823,s12571]) ).
cnf(s12883,plain,
( ~ spl2_244
| spl2_93
| spl2_98
| spl2_139
| spl2_149 ),
inference(rat,[],[s5874,s10964,s8869,s7960,s1845,s7575,s715,s9521,s5562,s6186,s445,s4354,s4060,s656,s4105,s11589,s604,s12882,s8212,s4760,s5463,s12879,s646,s733,s5518,s12823,s12870,s12878,s186,s12571]) ).
cnf(s12884,plain,
( spl2_178
| ~ spl2_26
| spl2_84
| ~ spl2_47
| spl2_202
| ~ spl2_555
| spl2_244
| spl2_93
| spl2_132
| ~ spl2_234
| ~ spl2_17
| ~ spl2_231
| ~ spl2_7 ),
inference(rat,[],[s10519,s9521,s4945,s6186,s10964,s11559,s11468,s8870,s11575,s5588,s9501,s5562,s445,s453,s7,s6940,s9732,s10715,s3317,s526,s3698,s11609,s201,s8212,s4929,s12571]) ).
cnf(s12885,plain,
( ~ spl2_206
| ~ spl2_26
| ~ spl2_180
| spl2_84
| ~ spl2_47
| spl2_202
| ~ spl2_20
| spl2_93
| ~ spl2_128
| ~ spl2_234
| ~ spl2_17
| ~ spl2_231 ),
inference(rat,[],[s8949,s5562,s5864,s8871,s11575,s3325,s3644,s2538,s3698,s12571]) ).
cnf(s12886,plain,
( spl2_84
| ~ spl2_47
| spl2_202
| ~ spl2_94
| spl2_244
| spl2_93
| spl2_139
| spl2_149 ),
inference(rat,[],[s4768,s5939,s5562,s5937,s445,s1845,s453,s9521,s10792,s6186,s11559,s12885,s9142,s12884,s4929,s225,s526,s11666,s3698,s3317,s4811,s11609,s9715,s646,s733,s12870,s201,s12878,s8212,s4760,s5255,s5518,s12823,s9764,s12571]) ).
cnf(s12887,plain,
( ~ spl2_47
| spl2_202
| ~ spl2_94
| spl2_244
| spl2_93
| ~ spl2_110
| spl2_139
| spl2_149 ),
inference(rat,[],[s11669,s225,s4953,s4929,s11507,s11556,s11586,s11558,s12886,s646,s733,s12870,s12878,s8212,s4760,s5255,s5518,s12823,s12571]) ).
cnf(s12888,plain,
( spl2_202
| ~ spl2_94
| spl2_244
| spl2_93
| ~ spl2_110
| spl2_139
| spl2_149 ),
inference(rat,[],[s10334,s10456,s11397,s1906,s2519,s11636,s8869,s7815,s650,s230,s10962,s11609,s91,s11571,s504,s12887,s9764,s1263,s733,s641,s12823,s12870,s201,s5910,s12878,s646,s4760,s5255,s5518,s12571]) ).
cnf(s12889,plain,
( ~ spl2_94
| spl2_244
| spl2_93
| ~ spl2_110
| spl2_139
| spl2_149 ),
inference(rat,[],[s170,s11634,s11625,s11352,s11687,s8943,s9519,s11804,s12888,s12870,s201,s12878,s8212,s4760,s5255,s5518,s12823,s12571]) ).
cnf(s12890,plain,
( ~ spl2_47
| ~ spl2_180
| spl2_202
| spl2_244
| spl2_93
| spl2_139
| spl2_149 ),
inference(rat,[],[s11751,s4768,s10288,s5562,s11405,s445,s1845,s453,s9521,s4802,s10792,s6186,s10268,s11559,s3158,s9142,s12885,s12884,s4929,s225,s11666,s4811,s526,s9715,s3698,s3317,s11558,s646,s733,s12870,s201,s12878,s8212,s4760,s5255,s5518,s12823,s9764,s12571]) ).
cnf(s12891,plain,
( spl2_202
| spl2_94
| spl2_244
| spl2_93
| spl2_139
| spl2_149 ),
inference(rat,[],[s10334,s10456,s11397,s1906,s2519,s11636,s8869,s7815,s10962,s650,s11571,s12890,s11614,s9764,s1263,s733,s641,s12823,s12870,s4760,s5255,s5518,s154,s10250,s5910,s12878,s646,s12571]) ).
cnf(s12892,plain,
( ~ spl2_47
| spl2_244
| spl2_93
| ~ spl2_110
| spl2_139
| spl2_149 ),
inference(rat,[],[s8870,s12661,s9325,s6026,s715,s5562,s10519,s1180,s9521,s656,s9166,s680,s8943,s11589,s11625,s379,s7344,s5686,s646,s733,s12870,s201,s8212,s4760,s5255,s5518,s12823,s10769,s12878,s12891,s12889,s12571]) ).
cnf(s12893,plain,
( ~ spl2_4
| spl2_29
| spl2_244
| spl2_93
| spl2_132
| ~ spl2_234
| ~ spl2_17
| spl2_278
| ~ spl2_250 ),
inference(rat,[],[s10633,s10792,s7,s9521,s26,s8943,s733]) ).
cnf(s12894,plain,
( spl2_93
| spl2_98
| spl2_139
| spl2_149 ),
inference(rat,[],[s170,s11634,s11352,s11687,s12893,s1029,s12892,s12891,s12889,s8212,s4760,s5255,s12883,s724,s5518,s12823,s12870,s12878,s186,s12571]) ).
cnf(s12895,plain,
( spl2_98
| spl2_139
| spl2_149 ),
inference(rat,[],[s12634,s5126,s3803,s4929,s6545,s10697,s4056,s2058,s4953,s996,s2096,s11694,s4055,s2519,s6483,s1237,s4932,s11493,s8016,s6477,s827,s12819,s1519,s1522,s5102,s2614,s8305,s11686,s8556,s451,s7471,s831,s1515,s1525,s1536,s5118,s12894,s733,s641,s5518,s646,s12870,s12878,s12571]) ).
cnf(s12896,plain,
( ~ spl2_94
| ~ spl2_47
| spl2_202
| ~ spl2_244
| spl2_139
| spl2_149 ),
inference(rat,[],[s12801,s4760,s3935,s7597,s2058,s12774,s12764,s733,s641,s12870,s5910,s646,s6370,s201,s12878,s5518,s829,s12895,s8305,s1263,s9764,s12571]) ).
cnf(s12897,plain,
( ~ spl2_47
| spl2_202
| ~ spl2_244
| spl2_139
| spl2_149 ),
inference(rat,[],[s12880,s11640,s11638,s4760,s154,s5463,s10250,s12896,s733,s5518,s12823,s12870,s201,s5910,s12878,s646,s829,s12895,s12571]) ).
cnf(s12898,plain,
( ~ spl2_94
| spl2_47
| spl2_703
| ~ spl2_141
| ~ spl2_337
| spl2_139
| spl2_149 ),
inference(rat,[],[s12801,s4760,s3935,s7597,s504,s641,s5518,s12870,s5910,s12878,s646,s829,s12895,s12571]) ).
cnf(s12899,plain,
( spl2_202
| ~ spl2_244
| spl2_139
| spl2_149 ),
inference(rat,[],[s11386,s8556,s5243,s7471,s330,s6613,s10962,s11608,s7597,s8212,s4760,s5463,s12898,s12897,s9764,s1263,s733,s641,s5518,s12823,s12870,s5910,s12878,s646,s12895,s8305,s12571]) ).
cnf(s12900,plain,
( ~ spl2_244
| spl2_139
| spl2_149 ),
inference(rat,[],[s7597,s4760,s379,s5463,s604,s12820,s12899,s5518,s12870,s12878,s12895,s12571]) ).
cnf(s12901,plain,
( ~ spl2_94
| ~ spl2_555
| ~ spl2_98
| spl2_132
| ~ spl2_17 ),
inference(rat,[],[s5995,s4170,s7,s3289,s9732,s2058,s12853,s504,s8212,s7597]) ).
cnf(s12902,plain,
( spl2_139
| spl2_149 ),
inference(rat,[],[s3842,s170,s11673,s11905,s12891,s12901,s7597,s8212,s4760,s5255,s12900,s829,s12895,s12878,s12870,s12823,s5518,s646,s12571]) ).
cnf(s12903,plain,
( spl2_203
| ~ spl2_606
| ~ spl2_40
| ~ spl2_301
| ~ spl2_278
| ~ spl2_94
| ~ spl2_128
| ~ spl2_110
| ~ spl2_556
| spl2_234 ),
inference(rat,[],[s9219,s879,s10962,s7256,s7858,s6474,s7143,s6411,s7471,s330,s12571]) ).
cnf(s12904,plain,
( spl2_84
| ~ spl2_278
| spl2_202
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s8551,s2448,s10603,s4389,s12903,s5383,s5384,s2641,s3684,s1259,s4388,s4207,s4811,s749,s9715,s91,s10714,s186,s201,s6993,s5463,s9321,s859,s9086,s4759,s4760,s5819,s12902,s12571]) ).
cnf(s12905,plain,
( spl2_20
| spl2_308
| ~ spl2_278
| spl2_202
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s12903,s3684,s4388,s4811,s10698,s11080,s3001,s5383,s9069,s5384,s4781,s8494,s4210,s10268,s1690,s5078,s8745,s7938,s4052,s4761,s186,s201,s5463,s9321,s859,s9086,s4759,s4760,s5819,s12904,s1617,s3842,s720,s12902,s646,s12571]) ).
cnf(s12906,plain,
( spl2_17
| ~ spl2_278
| spl2_202
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s452,s13,s11992,s9732,s8826,s12840,s996,s12905,s1617,s67,s6071,s3842,s720,s646,s4760,s5819,s9321,s859,s9086,s12902,s4759,s12904,s12571]) ).
cnf(s12907,plain,
( spl2_20
| ~ spl2_278
| spl2_202
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s1690,s5952,s452,s12905,s9075,s6186,s12906,s9086,s12902,s4759]) ).
cnf(s12908,plain,
( ~ spl2_278
| ~ spl2_47
| spl2_202
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s5078,s1617,s10585,s11672,s452,s6492,s7,s10751,s9732,s3289,s12840,s12907,s12906,s2058,s12904,s3842,s720,s646,s9321,s859,s9086,s12902,s4759,s12571]) ).
cnf(s12909,plain,
( spl2_17
| spl2_278
| spl2_202
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s12675,s5118,s1617,s2756,s6071,s3842,s720,s646,s5463,s4760,s5819,s8601,s262,s718,s733,s4903,s168,s9791,s201,s9321,s859,s9086,s12902,s4759,s12571]) ).
cnf(s12910,plain,
( spl2_278
| spl2_202
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s10603,s1545,s6600,s827,s5118,s6186,s12826,s12909,s12632,s2641,s4388,s4903,s168,s9791,s641,s733,s646,s10714,s9764,s201,s6993,s5463,s9321,s859,s9086,s4759,s4760,s5819,s12902,s12571]) ).
cnf(s12911,plain,
( spl2_202
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s170,s12908,s12904,s12910,s9321,s859,s3842,s9086,s720,s4759,s646,s12902,s12571]) ).
cnf(s12912,plain,
( spl2_84
| ~ spl2_92
| ~ spl2_14
| spl2_308
| ~ spl2_94
| ~ spl2_98
| ~ spl2_4
| spl2_149 ),
inference(rat,[],[s11694,s4932,s3096,s11009,s3837,s3928]) ).
cnf(s12913,plain,
( spl2_17
| ~ spl2_94
| spl2_226
| ~ spl2_132
| ~ spl2_278
| ~ spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s5512,s8646,s3056,s7543,s9518,s8870,s5562,s8700,s445,s4903,s12334,s4388,s10735,s11374,s7277,s12912,s4048,s10836,s10697,s349,s5118,s10813,s2756,s6071,s22,s12902,s604,s1259,s11449,s9321,s4085,s9320,s12571]) ).
cnf(s12914,plain,
( spl2_84
| ~ spl2_17
| ~ spl2_94
| ~ spl2_132
| ~ spl2_4
| ~ spl2_47
| ~ spl2_202
| spl2_234
| spl2_149 ),
inference(rat,[],[s10321,s6421,s9073,s6492,s3047,s10751,s11694,s4932,s11879,s851,s3893,s825,s7596,s4759,s12902,s9321,s9320,s12571]) ).
cnf(s12915,plain,
( ~ spl2_94
| ~ spl2_132
| ~ spl2_278
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s11285,s5952,s452,s1472,s9075,s12347,s12914,s12913,s4759,s12902,s604,s251,s1259,s11449,s12911,s859,s9321,s12571]) ).
cnf(s12916,plain,
( spl2_17
| spl2_94
| ~ spl2_132
| ~ spl2_4
| ~ spl2_47
| ~ spl2_202
| spl2_149 ),
inference(rat,[],[s9518,s8646,s5562,s5512,s10964,s445,s3158,s10820,s12334,s1199,s11374,s11447,s5118,s889,s2756,s6071,s22,s646,s9320,s10697,s12347,s7596,s8947,s4759,s12902,s9321,s12571]) ).
cnf(s12917,plain,
( ~ spl2_132
| ~ spl2_278
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s11285,s5952,s452,s1472,s9075,s12916,s12347,s7596,s8947,s12915,s9321,s4759,s12902,s604,s251,s1259,s11449,s12911,s12571]) ).
cnf(s12918,plain,
( ~ spl2_180
| spl2_207
| spl2_363
| ~ spl2_644
| spl2_93
| ~ spl2_128
| ~ spl2_47
| ~ spl2_202
| spl2_234 ),
inference(rat,[],[s12715,s8646,s8870,s7855,s4243,s8869,s3619,s4555,s10714]) ).
cnf(s12919,plain,
( spl2_191
| ~ spl2_556
| ~ spl2_94
| spl2_93
| ~ spl2_128
| ~ spl2_278
| ~ spl2_202
| spl2_234
| ~ spl2_244 ),
inference(rat,[],[s12702,s8870,s5562,s8700,s445,s12571]) ).
cnf(s12920,plain,
( ~ spl2_191
| spl2_363
| spl2_84
| spl2_93
| spl2_132
| ~ spl2_4
| ~ spl2_47
| ~ spl2_202
| ~ spl2_324
| spl2_149 ),
inference(rat,[],[s8870,s5861,s4243,s4772,s3619,s8646,s11991,s4390,s12902,s680,s7344,s5686,s4811,s9715]) ).
cnf(s12921,plain,
( spl2_84
| spl2_471
| ~ spl2_278
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s12650,s6026,s8870,s5562,s8700,s445,s12920,s2641,s4388,s4811,s9715,s12902,s10714,s604,s1259,s11449,s12911,s201,s5107,s12917,s12571]) ).
cnf(s12922,plain,
( ~ spl2_191
| spl2_356
| ~ spl2_226
| spl2_180
| spl2_93
| ~ spl2_4
| ~ spl2_278
| spl2_149 ),
inference(rat,[],[s1476,s12117,s646,s12902,s10213]) ).
cnf(s12923,plain,
( ~ spl2_110
| ~ spl2_94
| ~ spl2_278
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s5530,s9382,s9158,s8871,s8961,s9719,s451,s12035,s7471,s330,s10964,s8869,s4044,s7549,s7956,s6026,s4760,s8870,s5562,s12919,s8700,s445,s12922,s1751,s2113,s558,s582,s8287,s646,s8702,s1259,s11449,s201,s8511,s4754,s10213,s11374,s5107,s155,s3702,s5186,s4903,s4811,s4388,s12902,s12917,s1041,s12230,s7277,s604,s12911,s12921,s6993,s10714,s12571]) ).
cnf(s12924,plain,
( ~ spl2_94
| ~ spl2_278
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s186,s859,s12923,s8511,s7277,s12921,s6993,s12902,s604,s12911,s4754,s12917]) ).
cnf(s12925,plain,
( spl2_363
| spl2_84
| ~ spl2_278
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s12650,s6026,s8870,s5562,s8700,s445,s12920,s10714,s604,s1259,s11449,s12911,s201,s5107,s12917,s12571]) ).
cnf(s12926,plain,
( spl2_20
| spl2_308
| ~ spl2_363
| spl2_750
| ~ spl2_301
| spl2_149 ),
inference(rat,[],[s4995,s11110,s7938,s8,s4052,s10697,s4761,s12902,s889,s646]) ).
cnf(s12927,plain,
( spl2_17
| spl2_84
| ~ spl2_278
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s7290,s9505,s12715,s9732,s5588,s8870,s13,s5562,s8700,s10268,s452,s1180,s11991,s4354,s349,s11589,s4105,s12926,s67,s6071,s22,s680,s7344,s604,s5686,s201,s5107,s9166,s10769,s12924,s1259,s11449,s5938,s4388,s4811,s9715,s12917,s12902,s12911,s12925,s12571]) ).
cnf(s12928,plain,
( spl2_84
| ~ spl2_278
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s5874,s8869,s12715,s5805,s8870,s5562,s8700,s6186,s1180,s11991,s4354,s11589,s4105,s8212,s12927,s12925,s4388,s4811,s9715,s12902,s680,s7344,s604,s5686,s201,s5107,s4760,s5463,s9166,s10769,s12924,s12917,s1259,s11449,s12911,s12571]) ).
cnf(s12929,plain,
( ~ spl2_278
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s9634,s9719,s8871,s558,s10964,s8963,s582,s7549,s9382,s6897,s8287,s6026,s4764,s8870,s1545,s7471,s186,s5562,s8700,s4044,s1041,s859,s4811,s1180,s4060,s12230,s8511,s4388,s11374,s7277,s12928,s9166,s4760,s155,s8947,s10769,s5463,s2017,s12924,s5107,s201,s4754,s12917,s680,s1259,s11449,s8702,s5686,s12902,s10714,s5186,s7344,s604,s12911,s12571]) ).
cnf(s12930,plain,
( ~ spl2_94
| ~ spl2_556
| spl2_93
| spl2_750
| ~ spl2_644
| spl2_226
| ~ spl2_132
| spl2_278
| ~ spl2_202
| ~ spl2_244
| ~ spl2_156 ),
inference(rat,[],[s1347,s8646,s12867,s4390,s12857,s5937,s604,s733,s9321,s12571]) ).
cnf(s12931,plain,
( ~ spl2_132
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s10321,s6421,s9073,s6492,s3047,s10751,s11694,s851,s6071,s5027,s12868,s12930,s4760,s825,s7597,s5938,s7277,s4388,s4903,s172,s859,s9320,s9321,s4759,s646,s12902,s604,s12911,s9791,s12929,s12571]) ).
cnf(s12932,plain,
( spl2_17
| ~ spl2_94
| spl2_84
| spl2_132
| spl2_278
| ~ spl2_202
| spl2_234
| spl2_149 ),
inference(rat,[],[s1617,s12714,s11352,s11687,s1259,s12651,s6071,s6074,s6370,s201,s12902,s12571]) ).
cnf(s12934,plain,
( ~ spl2_556
| ~ spl2_17
| ~ spl2_94
| spl2_84
| spl2_93
| spl2_98
| ~ spl2_128
| spl2_278
| ~ spl2_202
| spl2_234
| ~ spl2_244
| ~ spl2_156 ),
inference(rat,[],[s12843,s12844,s10714,s4903,s6993,s851,s168,s9791]) ).
cnf(s12935,plain,
( ~ spl2_94
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s10792,s452,s4354,s349,s4105,s8212,s4760,s12934,s12932,s4759,s12848,s6074,s6370,s5910,s646,s7277,s4388,s4903,s168,s201,s12931,s9791,s12929,s12902,s604,s12911]) ).
cnf(s12936,plain,
( ~ spl2_180
| spl2_308
| spl2_93
| ~ spl2_644
| spl2_207
| ~ spl2_128
| ~ spl2_47
| ~ spl2_202
| spl2_234
| spl2_149 ),
inference(rat,[],[s12926,s12918,s11589,s5938,s4388,s12902]) ).
cnf(s12937,plain,
( spl2_17
| spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s349,s452,s10697,s10791,s8,s6600,s12722,s12613,s8870,s12650,s5874,s12035,s10964,s8869,s7960,s7956,s6026,s715,s5562,s445,s4060,s10213,s656,s12936,s1617,s889,s67,s6071,s10714,s8513,s12848,s6074,s6370,s230,s91,s7277,s4388,s4903,s12902,s604,s12911,s5910,s646,s4760,s5463,s1259,s11352,s11687,s8947,s12935,s168,s201,s12931,s9791,s12929,s12571]) ).
cnf(s12938,plain,
( spl2_234
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s10792,s452,s4354,s349,s4105,s8212,s12937,s4760,s5463,s12935,s12931,s12929,s604,s12911,s12902]) ).
cnf(s12939,plain,
( spl2_308
| ~ spl2_230
| ~ spl2_345
| ~ spl2_645
| ~ spl2_84
| ~ spl2_556
| spl2_149 ),
inference(rat,[],[s1690,s7938,s3927,s11005,s4052,s3009,s3289,s10698,s4761,s12902]) ).
cnf(s12940,plain,
( spl2_40
| spl2_356
| spl2_118
| ~ spl2_645
| ~ spl2_84
| spl2_455
| ~ spl2_47
| ~ spl2_278
| spl2_202
| spl2_149 ),
inference(rat,[],[s5562,s7956,s445,s12613,s12922,s4362,s10213,s12395,s6071,s12939,s824,s4211,s4207,s1259,s4781,s1263,s9086,s4759,s4760,s5819,s12902,s2058,s12571]) ).
cnf(s12941,plain,
( spl2_308
| spl2_94
| ~ spl2_345
| ~ spl2_645
| ~ spl2_84
| ~ spl2_556
| ~ spl2_7 ),
inference(rat,[],[s129,s8,s3927,s10697,s3009,s3289,s10698,s889]) ).
cnf(s12942,plain,
( ~ spl2_132
| ~ spl2_47
| spl2_238
| spl2_90
| ~ spl2_278
| spl2_202
| ~ spl2_234
| spl2_149 ),
inference(rat,[],[s32,s9300,s1237,s6565,s996,s6086,s12523,s6186,s6487,s6071,s12941,s6547,s9593,s10817,s11400,s12940,s1751,s2102,s579,s2058,s424,s3476,s3897,s4299,s4007,s4388,s10519,s2848,s4939,s9320,s9321,s646,s9086,s4759,s4760,s5819,s12902,s12571]) ).
cnf(s12943,plain,
( spl2_17
| ~ spl2_345
| spl2_132
| spl2_238
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s9222,s1122,s10962,s2078,s1969,s3416,s5596,s9234,s5329,s6474,s7471,s11080,s10268,s1690,s12619,s7938,s3927,s4052,s1602,s3009,s3289,s4929,s1617,s10698,s67,s6071,s4761,s3842,s720,s646,s2848,s9715,s4811,s4388,s10519,s6993,s5463,s4760,s5819,s12938,s12902,s12571]) ).
cnf(s12944,plain,
( ~ spl2_204
| ~ spl2_140
| ~ spl2_645
| ~ spl2_278
| ~ spl2_234 ),
inference(rat,[],[s10698,s2590,s5952,s1690]) ).
cnf(s12945,plain,
( ~ spl2_47
| ~ spl2_278
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s12840,s9732,s9075,s7,s452,s12944,s6186,s12943,s9723,s9715,s4811,s4388,s10519,s6993,s5463,s12942,s9086,s4759,s3842,s720,s646,s4760,s5819,s12902,s7284,s6717,s12938]) ).
cnf(s12946,plain,
( spl2_308
| ~ spl2_84
| ~ spl2_645
| spl2_47
| ~ spl2_556
| ~ spl2_7 ),
inference(rat,[],[s3927,s129,s3009,s11499,s10698,s889,s504]) ).
cnf(s12947,plain,
( ~ spl2_132
| spl2_47
| ~ spl2_278
| spl2_202
| ~ spl2_234
| spl2_149 ),
inference(rat,[],[s6565,s10830,s6086,s12944,s12523,s6186,s6071,s12946,s6547,s9593,s10817,s504,s4299,s3897,s4007,s4388,s10519,s4939,s9320,s9321,s646,s9086,s4759,s4760,s5819,s12902,s12571]) ).
cnf(s12948,plain,
( ~ spl2_278
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s4388,s4811,s10519,s9715,s6993,s170,s5463,s12947,s12945,s12938,s3842,s720,s646,s4760,s5819,s12902]) ).
cnf(s12949,plain,
( spl2_17
| ~ spl2_391
| ~ spl2_644
| ~ spl2_130
| ~ spl2_98
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s307,s8451,s525,s10964,s5254,s5588,s8826,s3056,s2834,s5562,s996,s445,s4052,s11529,s7938,s5118,s12777,s889,s3158,s2756,s67,s6071,s22,s4761,s646,s9764,s4760,s5819,s262,s718,s733,s12948,s6993,s10519,s4388,s12902,s12938,s12571]) ).
cnf(s12950,plain,
( spl2_84
| ~ spl2_132
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s4944,s6186,s851,s12949,s5512,s10519,s1845,s4388,s4299,s7596,s12938,s9086,s12902,s4759,s9321,s9320,s12571]) ).
cnf(s12951,plain,
( spl2_17
| ~ spl2_345
| ~ spl2_132
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s10384,s8,s3289,s1199,s3786,s3158,s12949,s5512,s1845,s4388,s4295,s12941,s889,s888,s6071,s22,s646,s12938,s4760,s5819,s9321,s11400,s12950,s262,s718,s733,s12948,s12902,s12571]) ).
cnf(s12952,plain,
( ~ spl2_132
| ~ spl2_47
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s9300,s10383,s6803,s11718,s310,s996,s6545,s12523,s12190,s12951,s11400,s2058,s12950,s9321,s4759,s12938,s262,s718,s733,s12948,s12902,s12571]) ).
cnf(s12953,plain,
( spl2_17
| ~ spl2_47
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s11541,s4128,s4788,s8664,s5501,s12613,s186,s8870,s12763,s12806,s5118,s2756,s6370,s201,s1993,s262,s718,s733,s12948,s2848,s10735,s9715,s9723,s4811,s4388,s10519,s6993,s5463,s4760,s5819,s12938,s12902,s12952]) ).
cnf(s12954,plain,
( ~ spl2_204
| spl2_98
| ~ spl2_47
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s12596,s8870,s12763,s827,s5078,s1690,s1263,s641,s12948,s646,s2848,s9715,s4811,s4388,s10519,s6993,s5463,s4760,s5819,s12938,s12952,s6186,s12953,s9086,s12902,s4759]) ).
cnf(s12955,plain,
( spl2_15
| ~ spl2_17
| ~ spl2_84
| spl2_132
| ~ spl2_5
| ~ spl2_156 ),
inference(rat,[],[s12840,s9732,s9075,s7]) ).
cnf(s12956,plain,
( ~ spl2_47
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s12954,s11741,s452,s12955,s6186,s12953,s9715,s4811,s4388,s10519,s6993,s5463,s12952,s12938,s9086,s4759,s3842,s720,s646,s4760,s5819,s12902]) ).
cnf(s12957,plain,
( spl2_84
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s10519,s6993,s4388,s5463,s4811,s12950,s9715,s12938,s4760,s5819,s12902]) ).
cnf(s12958,plain,
( spl2_308
| spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s4048,s1600,s10836,s1292,s1282,s1029,s11499,s1617,s889,s12938,s504,s9321,s170,s12957,s3842,s720,s12902,s646,s12956,s12571]) ).
cnf(s12959,plain,
( spl2_202
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s11694,s6803,s6565,s9300,s10383,s1029,s12523,s6071,s5027,s12958,s9321,s504,s170,s12957,s12956,s3842,s720,s4759,s646,s12902,s12571]) ).
cnf(s12960,plain,
( spl2_17
| ~ spl2_98
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s10791,s4354,s452,s4105,s12777,s12926,s889,s67,s6071,s646,s1845,s5938,s4388,s4295,s9715,s12902,s11449,s1259,s8947,s7596,s4759,s379,s604,s12819,s12938,s12959,s12571]) ).
cnf(s12961,plain,
( ~ spl2_132
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s5027,s4953,s2642,s6545,s851,s12190,s12960,s11449,s1845,s1259,s4388,s8947,s4295,s7596,s9321,s4759,s12902,s12819,s9715,s379,s604,s12959,s12938,s12571]) ).
cnf(s12962,plain,
( spl2_180
| ~ spl2_244
| spl2_149 ),
inference(rat,[],[s5874,s10964,s8869,s7960,s7956,s715,s5562,s445,s4060,s10213,s656,s646,s825,s4760,s5463,s12819,s1845,s4388,s4811,s12961,s9715,s379,s604,s12959,s12902,s12938,s12571]) ).
cnf(s12963,plain,
( ~ spl2_244
| spl2_149 ),
inference(rat,[],[s6071,s12926,s8212,s11589,s12962,s5938,s1845,s4388,s4760,s4811,s5463,s12961,s825,s9715,s379,s12819,s604,s12959,s12938,s12902,s12571]) ).
cnf(s12964,plain,
( ~ spl2_132
| spl2_84
| spl2_391
| spl2_202
| spl2_149 ),
inference(rat,[],[s12418,s5512,s9320,s4759,s5255,s4760,s5819,s12902,s12963,s12571]) ).
cnf(s12965,plain,
( spl2_17
| ~ spl2_254
| spl2_269
| ~ spl2_168
| spl2_132
| spl2_84
| ~ spl2_47
| ~ spl2_94
| ~ spl2_5
| spl2_149 ),
inference(rat,[],[s711,s2435,s8,s452,s307,s10697,s13,s8451,s11468,s9733,s2642,s3622,s4932,s5588,s1617,s889,s67,s6071,s1845,s4388,s4811,s9715,s12902,s10232,s230,s5910,s646,s91,s12963,s6026,s201,s12571]) ).
cnf(s12966,plain,
( spl2_84
| ~ spl2_47
| ~ spl2_94
| spl2_202
| spl2_149 ),
inference(rat,[],[s8760,s186,s1588,s9382,s7596,s4768,s851,s9154,s4944,s11731,s6186,s12965,s4899,s5254,s1751,s5562,s1366,s445,s4390,s10964,s11234,s5509,s10519,s1845,s10232,s4388,s230,s4811,s5107,s5910,s12964,s9715,s91,s1263,s3842,s720,s646,s5255,s4760,s5819,s1857,s1259,s8943,s9086,s12902,s4759,s12963,s12571]) ).
cnf(s12967,plain,
( ~ spl2_191
| ~ spl2_44
| spl2_356
| ~ spl2_204
| ~ spl2_558
| ~ spl2_226 ),
inference(rat,[],[s5262,s7986,s1476]) ).
cnf(s12968,plain,
( ~ spl2_44
| spl2_356
| spl2_234
| ~ spl2_204
| ~ spl2_558
| spl2_346
| spl2_93
| ~ spl2_128
| ~ spl2_111
| ~ spl2_94
| ~ spl2_556
| ~ spl2_226 ),
inference(rat,[],[s12743,s10964,s8870,s12782,s12702,s6026,s5254,s5562,s445,s12967,s12571]) ).
cnf(s12969,plain,
( ~ spl2_191
| ~ spl2_312
| spl2_180
| spl2_356
| ~ spl2_644
| ~ spl2_558
| spl2_149 ),
inference(rat,[],[s1588,s2357,s8975,s7986,s4390,s4759,s12902]) ).
cnf(s12970,plain,
( spl2_234
| spl2_17
| ~ spl2_47
| ~ spl2_94
| spl2_202
| spl2_149 ),
inference(rat,[],[s9107,s307,s10964,s525,s12782,s6026,s5254,s2834,s5562,s445,s12969,s6966,s8744,s8826,s11558,s996,s10697,s8,s711,s12968,s4388,s1751,s4811,s2113,s10698,s582,s3001,s8287,s7157,s186,s155,s859,s5186,s201,s5107,s889,s4932,s2016,s5995,s9069,s8745,s452,s13,s9732,s3348,s6108,s22,s4438,s11400,s12966,s67,s5255,s4760,s5819,s1617,s6071,s3842,s720,s646,s1259,s8943,s9086,s12902,s4759,s12963,s12571]) ).
cnf(s12971,plain,
( ~ spl2_645
| ~ spl2_204
| spl2_346
| spl2_19
| spl2_308
| ~ spl2_345
| spl2_244 ),
inference(rat,[],[s8,s10697,s711,s3289,s10699,s10698]) ).
cnf(s12972,plain,
( spl2_17
| ~ spl2_47
| ~ spl2_94
| spl2_202
| spl2_149 ),
inference(rat,[],[s10384,s8,s996,s711,s8826,s2435,s525,s307,s8451,s3622,s5588,s5254,s2834,s5562,s445,s4390,s10964,s11234,s5509,s10519,s1845,s4388,s4811,s12971,s12970,s452,s13,s9732,s4932,s3348,s1617,s889,s6108,s67,s6071,s22,s1263,s3842,s720,s646,s2058,s4438,s5107,s11400,s12966,s1259,s8943,s9086,s4759,s5255,s4760,s5819,s12902,s12963,s12571]) ).
cnf(s12973,plain,
( ~ spl2_191
| ~ spl2_44
| ~ spl2_204
| ~ spl2_558
| spl2_93
| spl2_703
| ~ spl2_139 ),
inference(rat,[],[s5262,s8870,s7986,s5867]) ).
cnf(s12974,plain,
( ~ spl2_47
| ~ spl2_94
| spl2_202
| spl2_149 ),
inference(rat,[],[s307,s9107,s2435,s10964,s3622,s12782,s6026,s5254,s5562,s445,s12973,s2096,s4932,s1690,s452,s5995,s11731,s6186,s12955,s12972,s5107,s201,s4438,s11400,s12966,s9764,s3842,s720,s646,s5255,s4760,s5819,s1259,s8943,s9086,s12902,s4759,s12963,s12571]) ).
cnf(s12975,plain,
( ~ spl2_94
| spl2_202
| spl2_149 ),
inference(rat,[],[s656,s1867,s650,s6026,s5254,s5562,s445,s4390,s10964,s11234,s5509,s10519,s1845,s10232,s230,s4388,s5107,s5910,s201,s4811,s12964,s9715,s91,s504,s12974,s1857,s646,s1263,s5255,s4760,s5819,s1259,s8943,s9086,s12902,s4759,s12963,s12571]) ).
cnf(s12976,plain,
( spl2_202
| spl2_149 ),
inference(rat,[],[s1237,s996,s12499,s12523,s11731,s6071,s12941,s9723,s4299,s3897,s4388,s12947,s10519,s859,s4939,s9320,s9321,s5463,s12975,s1259,s5255,s8943,s4760,s3842,s9086,s5819,s720,s4759,s646,s12902,s12963,s12571]) ).
cnf(s12977,plain,
( spl2_17
| spl2_84
| ~ spl2_94
| ~ spl2_132
| spl2_149 ),
inference(rat,[],[s6743,s9065,s8797,s10813,s1617,s6071,s3842,s10296,s646,s859,s11804,s4388,s4299,s9320,s4759,s12902,s12976,s9321,s12571]) ).
cnf(s12978,plain,
( spl2_84
| ~ spl2_94
| ~ spl2_132
| spl2_149 ),
inference(rat,[],[s10583,s10697,s11707,s11711,s12977,s8558,s749,s859,s5255,s11804,s4760,s4388,s7597,s4299,s91,s4759,s12902,s12963,s12976,s9321,s9320,s12571]) ).
cnf(s12979,plain,
( spl2_17
| ~ spl2_173
| ~ spl2_140
| ~ spl2_278
| spl2_226
| spl2_20
| ~ spl2_84
| ~ spl2_98
| spl2_149 ),
inference(rat,[],[s7752,s7471,s10963,s11085,s4937,s711,s5383,s4048,s4052,s10813,s11447,s889,s6115,s6071,s22,s4761,s646,s12902,s12963,s12976,s10836,s12571]) ).
cnf(s12980,plain,
( ~ spl2_94
| ~ spl2_132
| spl2_149 ),
inference(rat,[],[s11285,s11947,s452,s1950,s9075,s12979,s10962,s1059,s1041,s1948,s641,s12230,s2030,s859,s10714,s1259,s10697,s379,s11400,s12347,s7277,s504,s12978,s4759,s646,s12902,s12963,s12976,s9321,s12571]) ).
cnf(s12981,plain,
( spl2_84
| ~ spl2_132
| spl2_149 ),
inference(rat,[],[s4939,s5255,s10519,s4760,s4388,s7597,s4299,s4759,s9320,s6074,s5093,s10250,s12980,s12963,s9321,s12902,s12571]) ).
cnf(s12982,plain,
( spl2_17
| ~ spl2_132
| spl2_149 ),
inference(rat,[],[s11454,s8943,s7471,s330,s10813,s11769,s1819,s4760,s6549,s12946,s3786,s3897,s4903,s4388,s10519,s4944,s1199,s817,s9734,s5118,s11447,s889,s888,s2756,s6071,s646,s1222,s379,s12981,s12976,s6074,s5093,s10250,s12980,s12963,s9321,s12902,s12571]) ).
cnf(s12983,plain,
( ~ spl2_132
| spl2_149 ),
inference(rat,[],[s6483,s889,s7768,s11499,s7527,s9734,s4170,s11731,s5255,s11741,s5995,s3842,s4760,s9075,s422,s8212,s11774,s12982,s379,s12981,s6074,s5093,s10250,s12980,s9321,s4759,s646,s12902,s12963,s12976,s12571]) ).
cnf(s12984,plain,
( ~ spl2_47
| spl2_308
| spl2_84
| spl2_149 ),
inference(rat,[],[s10813,s8943,s349,s11625,s201,s825,s186,s7597,s4760,s11753,s12926,s1845,s10232,s230,s91,s5910,s646,s12963,s5938,s12976,s4388,s4811,s9715,s12983,s12902,s12571]) ).
cnf(s12985,plain,
( ~ spl2_18
| ~ spl2_471
| spl2_94
| spl2_244 ),
inference(rat,[],[s4944,s1199,s9734]) ).
cnf(s12986,plain,
( ~ spl2_47
| spl2_84
| spl2_149 ),
inference(rat,[],[s5805,s12613,s5562,s5383,s5865,s1180,s641,s656,s9166,s8943,s2030,s11589,s11625,s8212,s6071,s678,s12984,s7344,s201,s825,s2739,s5883,s6173,s10738,s10769,s11804,s5458,s186,s7597,s4760,s11753,s4388,s4811,s9715,s12902,s12976,s10232,s230,s91,s5910,s12983,s646,s12963,s12571]) ).
cnf(s12987,plain,
( spl2_84
| spl2_149 ),
inference(rat,[],[s11367,s10585,s8212,s2822,s6071,s10341,s889,s11499,s12986,s12985,s186,s7597,s4760,s10519,s11804,s11753,s4388,s10232,s4811,s230,s9715,s91,s12902,s12963,s12976,s5910,s12983,s646,s12571]) ).
cnf(s12988,plain,
( spl2_308
| ~ spl2_94
| spl2_149 ),
inference(rat,[],[s7938,s12971,s4052,s4932,s3289,s1617,s10698,s889,s4761,s2058,s4811,s4388,s11352,s11687,s8943,s4791,s7277,s11522,s379,s504,s12976,s12987,s5910,s12983,s646,s12902,s12963]) ).
cnf(s12989,plain,
( ~ spl2_94
| spl2_149 ),
inference(rat,[],[s1690,s12968,s4760,s452,s5995,s4932,s8212,s12955,s11731,s6186,s11662,s6071,s12988,s1751,s2113,s582,s8287,s7157,s186,s11352,s11687,s9379,s859,s8943,s4903,s155,s4791,s4388,s3702,s11522,s10232,s5186,s7277,s379,s4438,s504,s4759,s12902,s12963,s12976,s201,s5910,s12983,s646,s12987,s12571]) ).
cnf(s12990,plain,
spl2_149,
inference(rat,[],[s11367,s1941,s11672,s6071,s889,s11499,s12985,s10519,s4791,s824,s641,s8943,s2030,s11687,s3842,s170,s379,s10232,s154,s10769,s10250,s12989,s12987,s5910,s12983,s12976,s12963,s12902,s646,s12571]) ).
cnf(s12991,plain,
spl2_4,
inference(rat,[],[s2854,s12571,s12990]) ).
cnf(s12992,plain,
~ spl2_40,
inference(rat,[],[s2853,s12571,s12990]) ).
cnf(s12999,plain,
spl2_74,
inference(rat,[],[s4781,s12992]) ).
cnf(s13001,plain,
( ~ spl2_98
| spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s11694,s4170,s3096,s5995,s10697,s10791,s996,s1690,s8826,s5078,s11992,s10767,s859,s10519,s4932,s4007,s4803,s11009,s4320,s3935,s7597,s3861,s6993,s6071,s67,s12991,s12992,s12571]) ).
cnf(s13002,plain,
( spl2_204
| ~ spl2_556
| spl2_19
| spl2_301
| ~ spl2_14
| spl2_229
| spl2_234
| spl2_132
| spl2_17
| ~ spl2_94
| ~ spl2_621
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s8869,s12665,s7815,s5254,s4518,s5381,s8870,s12637,s5120,s4050,s2096,s4932,s12611,s12752,s12621,s10696,s10767,s1263,s6993,s22,s6071,s4929,s67,s10714,s4903,s168,s9791,s201,s8,s12991,s12571]) ).
cnf(s13003,plain,
( ~ spl2_93
| ~ spl2_204
| ~ spl2_14
| spl2_78
| ~ spl2_94
| ~ spl2_621
| ~ spl2_244 ),
inference(rat,[],[s5078,s12634,s827]) ).
cnf(s13004,plain,
( ~ spl2_204
| spl2_19
| ~ spl2_120
| spl2_301
| ~ spl2_14
| spl2_229
| spl2_234
| spl2_132
| ~ spl2_26
| ~ spl2_94
| ~ spl2_621
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s10791,s12635,s1690,s12609,s9760,s13003,s1263,s4929,s4903,s168,s9791,s201,s12991]) ).
cnf(s13006,plain,
( spl2_204
| ~ spl2_556
| spl2_301
| ~ spl2_14
| spl2_229
| spl2_234
| spl2_132
| spl2_17
| ~ spl2_94
| ~ spl2_621
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s271,s13002,s1496]) ).
cnf(s13007,plain,
( ~ spl2_556
| spl2_301
| spl2_20
| ~ spl2_144
| spl2_234
| spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s12004,s445,s4978,s5562,s5254,s4518,s5381,s8870,s12752,s271,s12637,s9760,s13004,s13003,s13006,s3803,s6993,s4929,s67,s10714,s749,s4903,s168,s9791,s201,s9321,s13001,s10697,s8494,s230,s3476,s4007,s91,s12991,s12571,s12999]) ).
cnf(s13008,plain,
( spl2_204
| ~ spl2_555
| spl2_301
| ~ spl2_14
| ~ spl2_47
| spl2_229
| spl2_234
| spl2_132
| spl2_17
| ~ spl2_94
| ~ spl2_621
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s9672,s8868,s4764,s6195,s12665,s10962,s8869,s9223,s8545,s7815,s1041,s8556,s4518,s7917,s7471,s5381,s12674,s8870,s12637,s5120,s4050,s2096,s4932,s12611,s8,s12752,s12621,s271,s10696,s10767,s1496,s733,s1263,s6993,s22,s6071,s4929,s67,s10714,s4903,s168,s9791,s201,s12991,s12990,s12571]) ).
cnf(s13009,plain,
( spl2_301
| spl2_20
| ~ spl2_47
| spl2_234
| spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s3094,s12579,s1501,s10610,s1041,s8556,s5381,s7917,s7471,s8870,s12674,s12752,s271,s12637,s9760,s13004,s13003,s13008,s4803,s13007,s230,s3476,s4007,s733,s3803,s6993,s4929,s67,s10714,s749,s91,s4903,s168,s9791,s201,s9321,s13001,s2025,s10697,s12990,s12571,s12991]) ).
cnf(s13010,plain,
( spl2_204
| ~ spl2_556
| spl2_196
| ~ spl2_14
| spl2_229
| spl2_234
| spl2_132
| spl2_17
| ~ spl2_94
| ~ spl2_621
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s8869,s12665,s7815,s5254,s4518,s5381,s8870,s5120,s4050,s2096,s4932,s12573,s12611,s3927,s8,s12752,s12621,s271,s10696,s10767,s1496,s1263,s22,s6071,s4929,s67,s10714,s4903,s168,s9791,s201,s12991,s12571]) ).
cnf(s13011,plain,
( ~ spl2_269
| spl2_186
| ~ spl2_266
| ~ spl2_144 ),
inference(rat,[],[s1180,s4978,s5562,s12571]) ).
cnf(s13013,plain,
( ~ spl2_269
| spl2_363
| ~ spl2_144
| ~ spl2_644
| ~ spl2_75 ),
inference(rat,[],[s2527,s8646,s4339,s4390,s445,s4978,s5562,s12991,s12571]) ).
cnf(s13014,plain,
( ~ spl2_556
| spl2_269
| spl2_196
| ~ spl2_14
| spl2_229
| spl2_234
| spl2_132
| spl2_17
| ~ spl2_94
| ~ spl2_621
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s5381,s8870,s12633,s4518,s12702,s5254,s13003,s13010,s733,s6993,s4929,s67,s6370,s10714,s4903,s168,s9791,s201,s12571]) ).
cnf(s13015,plain,
( spl2_204
| ~ spl2_555
| spl2_589
| ~ spl2_183
| spl2_196
| ~ spl2_14
| ~ spl2_47
| spl2_229
| spl2_234
| spl2_132
| spl2_17
| ~ spl2_94
| ~ spl2_621
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s8871,s5386,s9673,s10962,s427,s9223,s5381,s11493,s1041,s8870,s7917,s7471,s5120,s12674,s4050,s12573,s2096,s394,s4932,s12611,s8,s12621,s271,s10696,s10767,s1496,s6071,s4929,s67,s10714,s4903,s168,s9791,s201,s12991,s12990,s12571]) ).
cnf(s13016,plain,
( ~ spl2_18
| ~ spl2_371
| ~ spl2_693
| spl2_93
| ~ spl2_204
| ~ spl2_555
| ~ spl2_301
| ~ spl2_47
| spl2_234
| spl2_132
| ~ spl2_26
| ~ spl2_94
| ~ spl2_75
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s12712,s6082,s1041,s5329,s8857,s7917,s7471,s12615,s1816,s11467,s4768,s445,s1517,s12672,s5078,s26,s5995,s10791,s10268,s1912,s573,s1779,s12599,s724,s6370,s10714,s8870,s12650,s6026,s13013,s2025,s4903,s168,s9791,s5518,s201,s2641,s6993,s8545,s4518,s12990,s12571,s12991]) ).
cnf(s13017,plain,
( spl2_20
| ~ spl2_47
| spl2_234
| spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s3619,s1462,s9064,s9053,s9499,s9356,s2527,s9015,s549,s8646,s26,s4768,s10791,s9144,s1690,s10257,s10619,s275,s8,s13016,s8869,s5634,s8545,s7815,s4518,s5381,s8870,s12633,s13003,s13015,s4803,s12650,s13014,s6026,s666,s4764,s13013,s12632,s2641,s13009,s10697,s724,s733,s1263,s3803,s6993,s4929,s67,s6370,s10714,s749,s91,s4903,s168,s9791,s201,s9321,s13001,s5518,s2025,s12990,s12991,s12571]) ).
cnf(s13018,plain,
( ~ spl2_211
| ~ spl2_556
| ~ spl2_47
| spl2_202
| ~ spl2_244
| ~ spl2_231 ),
inference(rat,[],[s11493,s8556,s6474,s7900,s7470,s12990,s12571]) ).
cnf(s13019,plain,
( spl2_204
| ~ spl2_203
| ~ spl2_47
| spl2_229
| spl2_234
| spl2_132
| spl2_308
| ~ spl2_94
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s4390,s9064,s5633,s3619,s12118,s8870,s12633,s5118,s1533,s8890,s10962,s12598,s1119,s12752,s10696,s10767,s733,s6993,s6370,s10714,s4903,s168,s9791,s201,s12990,s12991]) ).
cnf(s13020,plain,
( ~ spl2_556
| ~ spl2_290
| ~ spl2_47
| spl2_229
| spl2_234
| spl2_132
| spl2_308
| ~ spl2_94
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s12582,s4783,s9521,s1617,s827,s3307,s11992,s1683,s13019,s330,s13018,s8826,s733,s6370,s10714,s4903,s168,s9791,s201,s12991]) ).
cnf(s13021,plain,
( spl2_204
| spl2_212
| spl2_186
| ~ spl2_47
| spl2_229
| spl2_234
| spl2_132
| spl2_308
| ~ spl2_94
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s8871,s9673,s5386,s4764,s5381,s13011,s8870,s9166,s5118,s10962,s427,s493,s1522,s9223,s11493,s10502,s1041,s8556,s7917,s7471,s12752,s13019,s10696,s733,s201,s2025,s12991,s12990,s12571]) ).
cnf(s13022,plain,
( spl2_301
| spl2_93
| ~ spl2_555
| spl2_212
| spl2_186
| ~ spl2_47
| spl2_229
| spl2_234
| spl2_132
| ~ spl2_94
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s9672,s4764,s8868,s13011,s6195,s9166,s10962,s493,s9223,s11493,s8545,s1041,s8556,s4518,s7917,s7471,s5381,s12674,s8870,s12637,s12752,s9760,s733,s6993,s10714,s4903,s168,s9791,s201,s2025,s12991,s12990,s12571]) ).
cnf(s13023,plain,
( spl2_93
| spl2_212
| spl2_186
| ~ spl2_290
| ~ spl2_47
| spl2_234
| spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s12,s12599,s10619,s5381,s1690,s8870,s12633,s10791,s12650,s26,s10383,s6026,s1237,s13013,s1683,s2641,s3307,s13022,s733,s6993,s67,s6370,s10714,s4903,s168,s9791,s201,s2025,s4803,s13020,s13021,s749,s91,s9321,s13001,s6071,s12991,s12571,s12990]) ).
cnf(s13024,plain,
( ~ spl2_47
| spl2_234
| spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s1237,s11992,s827,s13023,s13021,s371,s680,s5655,s4105,s996,s13017,s997,s6071,s9321,s13001,s5518,s749,s91,s12991,s12571]) ).
cnf(s13025,plain,
( spl2_204
| spl2_47
| spl2_229
| spl2_234
| spl2_132
| spl2_17
| ~ spl2_94
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s10333,s9223,s6195,s1041,s8868,s12580,s9672,s8556,s5329,s7471,s12674,s4803,s5254,s4764,s12665,s8869,s8545,s7815,s4518,s5381,s6600,s8870,s12633,s5120,s4050,s394,s2096,s4932,s12623,s12611,s11499,s12752,s271,s10696,s10767,s1496,s733,s1263,s6993,s22,s6071,s4929,s67,s6370,s10714,s4903,s168,s9791,s201,s12571,s12991]) ).
cnf(s13026,plain,
( spl2_254
| ~ spl2_556
| ~ spl2_14
| spl2_93
| ~ spl2_204
| ~ spl2_309
| spl2_278 ),
inference(rat,[],[s2522,s4715,s3116,s9499,s10445,s445,s5562,s5254,s8545,s12991,s12571]) ).
cnf(s13027,plain,
( spl2_301
| spl2_693
| spl2_93
| spl2_229
| spl2_234
| spl2_132
| spl2_471
| ~ spl2_94
| spl2_202
| spl2_278 ),
inference(rat,[],[s8870,s5381,s12752,s12637,s9760,s10714,s4903,s168,s9791,s201,s12991]) ).
cnf(s13028,plain,
( ~ spl2_556
| ~ spl2_14
| spl2_93
| spl2_47
| spl2_229
| spl2_234
| ~ spl2_265
| spl2_132
| spl2_17
| ~ spl2_94
| ~ spl2_621
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s8869,s3866,s5643,s5562,s13014,s12632,s7824,s2641,s13027,s650,s4518,s13026,s758,s733,s6993,s888,s6071,s10714,s4903,s168,s9791,s201,s13025,s5518,s12991,s12571]) ).
cnf(s13029,plain,
( ~ spl2_191
| spl2_254
| ~ spl2_14
| spl2_93
| ~ spl2_204
| ~ spl2_309
| spl2_278 ),
inference(rat,[],[s2522,s4715,s3116,s9499,s10445,s8545,s12991]) ).
cnf(s13030,plain,
( spl2_301
| ~ spl2_555
| ~ spl2_14
| spl2_93
| ~ spl2_204
| spl2_229
| spl2_234
| spl2_132
| ~ spl2_309
| ~ spl2_94
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s5441,s2448,s1041,s879,s9223,s9219,s3703,s10962,s6195,s8868,s9672,s4764,s5562,s445,s13029,s8556,s7143,s8545,s7471,s8870,s4518,s12674,s12752,s13027,s12637,s9760,s733,s6993,s10714,s4903,s168,s9791,s201,s12571,s12991]) ).
cnf(s13031,plain,
( ~ spl2_191
| ~ spl2_555
| ~ spl2_14
| spl2_93
| ~ spl2_204
| spl2_47
| ~ spl2_309
| spl2_278 ),
inference(rat,[],[s650,s13029,s4060]) ).
cnf(s13032,plain,
( ~ spl2_44
| ~ spl2_693
| ~ spl2_301
| ~ spl2_204
| spl2_47
| ~ spl2_26
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s12599,s10791,s11499,s26,s10619,s5078,s12991]) ).
cnf(s13033,plain,
( ~ spl2_18
| ~ spl2_29
| ~ spl2_558
| spl2_44
| spl2_254
| ~ spl2_355
| ~ spl2_455
| ~ spl2_181
| spl2_363
| ~ spl2_301
| ~ spl2_555
| spl2_93
| ~ spl2_644
| ~ spl2_324
| spl2_207
| spl2_132
| ~ spl2_94
| ~ spl2_250 ),
inference(rat,[],[s6195,s10962,s8868,s3830,s9672,s7143,s8857,s7471,s12615,s1816,s11467,s4768,s1517,s1779,s201,s4764,s5562,s8545,s12571,s12991]) ).
cnf(s13034,plain,
( ~ spl2_203
| spl2_363
| spl2_47
| ~ spl2_644
| spl2_84 ),
inference(rat,[],[s2448,s11760,s4389,s12991]) ).
cnf(s13035,plain,
( ~ spl2_14
| spl2_93
| spl2_234
| spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s2519,s1501,s1906,s3416,s8857,s13034,s11467,s4768,s9144,s11180,s10279,s271,s11499,s13033,s26,s5995,s10791,s12619,s1690,s13032,s8545,s4518,s5381,s8870,s12633,s12650,s6026,s5562,s445,s13031,s2641,s13030,s4803,s13028,s724,s733,s3803,s6993,s888,s6071,s7606,s4929,s67,s6370,s10714,s4903,s168,s9791,s201,s13025,s13024,s749,s91,s9321,s13001,s5518,s12991,s12571]) ).
cnf(s13036,plain,
( spl2_93
| spl2_234
| spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s8868,s9672,s6289,s1500,s7471,s330,s10610,s271,s12674,s11499,s9760,s8545,s12599,s13032,s4518,s5262,s5381,s8870,s12633,s12671,s4788,s6026,s4764,s5562,s11801,s1690,s3965,s9167,s10791,s4783,s11009,s26,s1617,s1029,s10697,s13035,s733,s6993,s67,s888,s6071,s6370,s10714,s4903,s168,s9791,s201,s680,s904,s997,s13025,s13024,s749,s91,s9321,s13001,s5518,s12571,s12991]) ).
cnf(s13037,plain,
( spl2_234
| spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s10384,s1029,s13003,s827,s13036,s13025,s13024,s749,s3803,s91,s4929,s9321,s13001,s5518,s67,s12571]) ).
cnf(s13038,plain,
( spl2_191
| ~ spl2_47
| spl2_93
| spl2_455
| spl2_202
| ~ spl2_231 ),
inference(rat,[],[s11541,s4788,s3619,s5562,s9064,s445,s12571,s12990]) ).
cnf(s13039,plain,
( ~ spl2_191
| spl2_93
| spl2_703
| ~ spl2_234
| spl2_207
| ~ spl2_94
| ~ spl2_141
| ~ spl2_337
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s9499,s5292,s12639,s12613,s9369,s733,s2848,s6993,s12991]) ).
cnf(s13040,plain,
( spl2_93
| spl2_703
| ~ spl2_234
| ~ spl2_128
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_337
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s5937,s5939,s8646,s9257,s8664,s12613,s9501,s8545,s650,s11544,s4788,s6026,s5562,s13038,s445,s13039,s733,s1263,s6370,s2848,s10735,s10519,s6993,s12991,s12571]) ).
cnf(s13041,plain,
( spl2_204
| ~ spl2_234
| ~ spl2_128
| spl2_197
| spl2_308
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_337
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s2096,s4932,s1525,s12622,s827,s5118,s13040,s10696]) ).
cnf(s13042,plain,
( spl2_93
| ~ spl2_234
| spl2_132
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_337
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s13040,s9760,s201,s10519,s6993]) ).
cnf(s13043,plain,
( spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s996,s1237,s10697,s11992,s13003,s827,s13042,s13041,s13037,s4929,s201,s9321,s13001,s6545,s67,s6071,s5518,s8305,s3803,s12571]) ).
cnf(s13044,plain,
( ~ spl2_132
| spl2_93
| spl2_234
| ~ spl2_17
| ~ spl2_94
| spl2_84
| ~ spl2_337
| spl2_278 ),
inference(rat,[],[s4170,s5995,s11694,s10792,s4932,s1324,s11879,s5237,s851,s9523,s3893,s9321,s12991,s12571]) ).
cnf(s13045,plain,
( spl2_204
| ~ spl2_178
| ~ spl2_644
| spl2_132
| spl2_234
| ~ spl2_17
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s13021,s371,s666,s5655,s13013,s5162,s4105,s2025,s2642,s1029,s4932,s5885,s3915,s271,s1496,s997,s749,s91,s12991,s12990]) ).
cnf(s13047,plain,
( spl2_20
| spl2_161
| ~ spl2_204
| ~ spl2_178
| ~ spl2_17
| spl2_84
| ~ spl2_244 ),
inference(rat,[],[s10279,s12012,s988,s1941,s12991]) ).
cnf(s13048,plain,
( ~ spl2_301
| ~ spl2_290
| ~ spl2_204
| ~ spl2_178
| ~ spl2_17
| ~ spl2_94
| spl2_84
| ~ spl2_244 ),
inference(rat,[],[s5885,s10280,s1237,s11694,s1683,s4995,s3307,s12991]) ).
cnf(s13049,plain,
( spl2_93
| spl2_234
| ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s8868,s9672,s6289,s4764,s1462,s10610,s275,s7471,s330,s5562,s681,s576,s5262,s5885,s2738,s12674,s445,s8545,s7340,s1690,s6600,s4803,s8870,s12825,s4518,s6186,s12826,s12752,s4320,s12637,s13027,s9521,s9760,s4007,s13048,s996,s13047,s351,s13045,s851,s4811,s9379,s201,s13044,s9720,s733,s5518,s8305,s6993,s13043,s10714,s749,s91,s12571,s12991]) ).
cnf(s13050,plain,
( ~ spl2_93
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s2519,s7917,s11493,s8556,s7471,s831,s1522,s1515,s829,s5118,s733,s5518,s12990,s12571]) ).
cnf(s13051,plain,
( ~ spl2_94
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s4320,s9321,s4007,s13042,s10519,s13049,s6993,s5518,s8305,s13050,s12991,s12571]) ).
cnf(s13052,plain,
( spl2_234
| spl2_130
| spl2_93
| spl2_278 ),
inference(rat,[],[s9321,s9379,s9523,s12571]) ).
cnf(s13053,plain,
( ~ spl2_132
| ~ spl2_234
| spl2_637
| spl2_93
| ~ spl2_250 ),
inference(rat,[],[s9114,s10511,s9320,s12571]) ).
cnf(s13054,plain,
( ~ spl2_206
| ~ spl2_47
| ~ spl2_180
| spl2_93 ),
inference(rat,[],[s12071,s7917,s4978,s2025,s9064,s3619,s12990]) ).
cnf(s13055,plain,
( ~ spl2_47
| spl2_703
| ~ spl2_180
| ~ spl2_555
| spl2_93
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s8871,s5386,s9673,s10962,s5381,s427,s9223,s10502,s11493,s8556,s7471,s4044,s1041,s13054,s8870,s9369,s4764,s9064,s4978,s3619,s2025,s733,s12991,s12571,s12990]) ).
cnf(s13056,plain,
( ~ spl2_172
| ~ spl2_208
| spl2_301
| ~ spl2_178
| spl2_703
| spl2_204
| spl2_278 ),
inference(rat,[],[s2642,s3088,s2448,s1122,s879,s9221,s9220,s8556,s7471,s6613,s733,s12571]) ).
cnf(s13057,plain,
( spl2_301
| ~ spl2_14
| spl2_703
| spl2_204
| spl2_197
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s7687,s11570,s8295,s10963,s1948,s4937,s6797,s11497,s10962,s13056,s1906,s2519,s11638,s230,s3476,s4007,s10735,s91,s6370,s10288,s1199,s11499,s13055,s11609,s201,s733,s4803,s5463,s13053,s13052,s8947,s4605,s10250,s724,s13050,s5518,s271,s1496,s13051,s12571,s12991]) ).
cnf(s13058,plain,
( spl2_20
| spl2_204
| spl2_17
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s12665,s4768,s8870,s5874,s12687,s8869,s26,s7815,s9134,s10791,s1948,s4996,s4944,s1390,s1845,s10519,s13057,s14,s10697,s1263,s22,s2010,s6545,s67,s1199,s11499,s271,s1496,s8545,s650,s13055,s10696,s6071,s11609,s4803,s5463,s201,s13053,s4605,s10250,s724,s13052,s8947,s13051,s13050,s733,s5518,s12991,s12571]) ).
cnf(s13059,plain,
( spl2_169
| spl2_182
| spl2_299
| spl2_132 ),
inference(rat,[],[s445,s5562,s4809,s4768,s12571]) ).
cnf(s13060,plain,
( spl2_204
| spl2_17
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s13059,s1538,s689,s26,s690,s1029,s13058,s573,s8545,s506,s650,s11499,s13055,s271,s10696,s10767,s1496,s11609,s4803,s5463,s201,s733,s10271,s9166,s10769,s13053,s13052,s8947,s5518,s4605,s10250,s13050,s724,s13051,s6071,s12991,s12990,s12571]) ).
cnf(s13061,plain,
( ~ spl2_47
| ~ spl2_204
| ~ spl2_26
| ~ spl2_180
| ~ spl2_555
| spl2_132
| ~ spl2_234
| ~ spl2_119
| spl2_93
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s3317,s453,s10697,s13,s3096,s9733,s2642,s4995,s1845,s154,s9760,s11638,s9064,s13055,s13054,s3619,s733,s12571,s12990]) ).
cnf(s13062,plain,
( ~ spl2_120
| spl2_269
| spl2_182
| spl2_47
| ~ spl2_555
| spl2_132
| ~ spl2_234
| spl2_130
| spl2_93
| spl2_202
| ~ spl2_244
| ~ spl2_231 ),
inference(rat,[],[s7471,s8084,s9673,s8871,s9632,s13059,s9382,s1906,s427,s1522,s2519,s11638,s4764,s12571,s12991]) ).
cnf(s13063,plain,
( ~ spl2_14
| spl2_182
| spl2_300
| spl2_47
| ~ spl2_204
| ~ spl2_309
| spl2_94
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s4995,s2642,s1509,s4007,s3096,s3377,s3476,s154,s13062,s5562,s445,s13031,s758,s733,s4803,s5463,s13053,s13052,s8947,s5518,s4605,s10250,s13050,s724,s12571,s12991]) ).
cnf(s13064,plain,
( spl2_17
| spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s13062,s230,s5562,s3476,s11801,s4007,s1690,s10633,s10791,s13,s26,s1029,s10697,s13063,s8545,s1374,s680,s650,s904,s13061,s13060,s888,s67,s6071,s997,s91,s9166,s10769,s11609,s4803,s5463,s201,s13053,s4605,s10250,s724,s13052,s8947,s13051,s13050,s733,s5518,s12571,s12991]) ).
cnf(s13065,plain,
( spl2_204
| ~ spl2_20
| ~ spl2_17
| ~ spl2_180
| ~ spl2_555
| spl2_93
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s10696,s5162,s13055,s2025,s1029,s5885,s271,s1496,s12990,s12991]) ).
cnf(s13066,plain,
( ~ spl2_47
| ~ spl2_204
| ~ spl2_20
| ~ spl2_180
| ~ spl2_555
| spl2_132
| ~ spl2_234
| ~ spl2_119
| spl2_93
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s241,s13061,s2025,s12990]) ).
cnf(s13067,plain,
( spl2_84
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s2590,s43,s10280,s7,s5885,s26,s1029,s13066,s13065,s1941,s13064,s11609,s4803,s10769,s5463,s201,s13053,s13052,s4605,s8947,s10250,s13051,s724,s733,s10692,s5518,s13050,s12991,s12571]) ).
cnf(s13068,plain,
( spl2_555
| ~ spl2_14
| ~ spl2_26
| spl2_308
| spl2_364
| spl2_226
| ~ spl2_111
| ~ spl2_94
| ~ spl2_644
| spl2_93
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s5562,s445,s12791,s1690,s4390,s5078,s12782,s1617,s13026,s4783,s4803,s3965,s733,s888,s10767,s12571,s12991]) ).
cnf(s13069,plain,
( ~ spl2_180
| spl2_196
| ~ spl2_47
| ~ spl2_84
| spl2_93
| spl2_202
| ~ spl2_244 ),
inference(rat,[],[s13059,s1522,s7276,s1347,s11493,s3619,s4128,s12053,s7605,s2025,s8365,s2058,s12990]) ).
cnf(s13070,plain,
( ~ spl2_140
| ~ spl2_693
| ~ spl2_355
| ~ spl2_14
| ~ spl2_204
| spl2_180
| ~ spl2_244 ),
inference(rat,[],[s271,s1500,s8,s5262,s12599,s1690]) ).
cnf(s13071,plain,
( spl2_17
| spl2_234
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s271,s8,s1500,s13033,s9053,s5078,s9015,s26,s5995,s10791,s13070,s4518,s5381,s8870,s11413,s5562,s445,s11586,s4060,s13068,s10697,s11738,s10767,s67,s6071,s724,s4438,s6370,s201,s3307,s13069,s12632,s2641,s9521,s859,s8365,s2058,s7605,s2025,s6993,s4903,s10714,s733,s504,s8947,s13052,s5518,s13067,s13050,s12990,s12991,s12571]) ).
cnf(s13072,plain,
( spl2_234
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s43,s2822,s7,s10332,s11008,s26,s988,s1941,s3348,s310,s3022,s851,s13071,s4438,s504,s8947,s13052,s10692,s5518,s13050,s13067,s12991,s12571]) ).
cnf(s13073,plain,
( ~ spl2_94
| ~ spl2_234
| ~ spl2_84
| spl2_93
| spl2_202
| ~ spl2_337
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s13039,s6370,s9760,s201,s7605,s13038,s2025,s10519,s2848,s504,s6993,s733,s1263,s12990]) ).
cnf(s13075,plain,
( spl2_180
| ~ spl2_471
| ~ spl2_345
| ~ spl2_555
| spl2_94
| spl2_93
| spl2_202
| ~ spl2_231 ),
inference(rat,[],[s11413,s8870,s5562,s4945,s445,s10964,s4060,s10820,s8365,s8363,s12571,s12991,s12990]) ).
cnf(s13076,plain,
( ~ spl2_47
| ~ spl2_555
| spl2_94
| ~ spl2_234
| ~ spl2_84
| spl2_93
| spl2_202
| ~ spl2_244
| ~ spl2_231 ),
inference(rat,[],[s7471,s8556,s4044,s13069,s12053,s13075,s10519,s9114,s8363,s2058,s4605,s10250,s12571,s12990,s12991]) ).
cnf(s13077,plain,
( spl2_301
| ~ spl2_178
| spl2_703
| spl2_204
| spl2_47
| ~ spl2_555
| ~ spl2_119
| ~ spl2_236
| ~ spl2_234
| ~ spl2_84
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s10333,s9636,s13056,s1906,s2519,s8289,s11638,s154,s3476,s4007,s733,s12990,s12571]) ).
cnf(s13078,plain,
( spl2_204
| spl2_17
| spl2_132
| spl2_94
| ~ spl2_236
| ~ spl2_234
| ~ spl2_84
| spl2_93
| spl2_202
| ~ spl2_244
| spl2_278 ),
inference(rat,[],[s2522,s11606,s4715,s2435,s650,s3622,s307,s8545,s9107,s5597,s10964,s11751,s4788,s6026,s4764,s5562,s445,s11529,s4811,s10698,s10697,s1600,s1029,s1282,s2757,s26,s11,s10791,s5129,s4996,s4944,s1390,s1845,s10519,s13077,s1292,s1199,s11499,s271,s10696,s1496,s10288,s1263,s10250,s201,s13076,s4803,s5463,s733,s67,s2010,s6071,s12991,s12571]) ).
cnf(s13080,plain,
( ~ spl2_254
| spl2_186
| spl2_47
| ~ spl2_266
| ~ spl2_555
| spl2_93
| spl2_202
| ~ spl2_244
| ~ spl2_231 ),
inference(rat,[],[s9329,s8870,s4788,s5381,s5562,s11586,s656,s1179,s650,s4518,s12571]) ).
cnf(s13081,plain,
( spl2_17
| spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s13062,s154,s5562,s3476,s11801,s4007,s1690,s10633,s10791,s13,s26,s1029,s10697,s13063,s13078,s888,s67,s6071,s7720,s8947,s1374,s8545,s13080,s683,s904,s13076,s9166,s10769,s4803,s5463,s13053,s4605,s10250,s724,s13073,s13072,s13067,s8305,s13050,s733,s5518,s12571,s12991]) ).
cnf(s13082,plain,
( spl2_202
| ~ spl2_244
| spl2_139 ),
inference(rat,[],[s13062,s5562,s154,s11801,s3476,s888,s4007,s2822,s1496,s10633,s43,s10332,s271,s10792,s7,s5885,s26,s1029,s1941,s13081,s8545,s13080,s683,s904,s13076,s9166,s4803,s10769,s5463,s13053,s4605,s8947,s10250,s13073,s13072,s13067,s13050,s10692,s724,s733,s5518,s8305,s12571,s12991]) ).
cnf(s13083,plain,
( ~ spl2_244
| spl2_139 ),
inference(rat,[],[s9338,s604,s13082,s9374,s12990]) ).
cnf(s13084,plain,
( ~ spl2_180
| ~ spl2_47
| spl2_93
| spl2_84
| spl2_234
| spl2_202
| spl2_139 ),
inference(rat,[],[s8868,s9580,s6195,s10238,s10962,s8646,s2448,s9223,s5874,s12613,s8870,s8556,s10430,s8869,s12671,s7471,s4390,s371,s7575,s4788,s6026,s4044,s1041,s9064,s5664,s4978,s13054,s3619,s733,s8943,s997,s4007,s3476,s230,s91,s10232,s4903,s8947,s168,s201,s9321,s7597,s4803,s5255,s13083,s9791,s5518,s2025,s12571,s12991,s12990]) ).
cnf(s13085,plain,
( spl2_206
| spl2_189
| spl2_196
| spl2_180
| spl2_93
| spl2_202
| spl2_139 ),
inference(rat,[],[s11503,s6897,s10962,s7471,s9223,s4044,s1041,s11586,s733,s4764,s5562,s445,s4060,s4803,s5255,s13083,s5518,s12571,s12991]) ).
cnf(s13086,plain,
( ~ spl2_47
| spl2_93
| spl2_84
| spl2_234
| spl2_202
| spl2_139 ),
inference(rat,[],[s6195,s8868,s10962,s9580,s3830,s2448,s7143,s4389,s4986,s7917,s13085,s2527,s10238,s8646,s12632,s5874,s8870,s8869,s12671,s7575,s4788,s6026,s5562,s10964,s445,s1911,s4060,s11586,s656,s13084,s2025,s733,s8943,s10714,s4007,s3476,s230,s91,s10232,s4903,s8947,s168,s201,s9321,s7597,s4803,s5255,s13083,s9791,s5518,s12990,s12571,s12991]) ).
cnf(s13087,plain,
( spl2_181
| ~ spl2_371
| spl2_625
| spl2_182
| ~ spl2_644
| spl2_391
| ~ spl2_301
| ~ spl2_110 ),
inference(rat,[],[s8646,s12084,s4390,s9356,s1524,s445]) ).
cnf(s13089,plain,
( ~ spl2_299
| spl2_384
| ~ spl2_204 ),
inference(rat,[],[s9139,s9149]) ).
cnf(s13090,plain,
( spl2_254
| ~ spl2_204
| spl2_47
| spl2_93
| ~ spl2_644
| ~ spl2_301
| spl2_229
| spl2_84
| ~ spl2_324
| ~ spl2_141
| spl2_139 ),
inference(rat,[],[s6195,s10962,s8868,s3830,s9672,s7143,s8857,s7471,s13034,s8794,s5874,s13059,s13089,s4517,s5381,s12613,s8870,s9501,s4764,s5562,s13087,s2369,s8869,s7815,s5634,s8545,s733,s91,s186,s201,s9321,s7597,s4803,s5255,s13083,s5518,s5603,s724,s12571,s12991]) ).
cnf(s13091,plain,
( ~ spl2_254
| spl2_47
| spl2_93
| ~ spl2_94
| ~ spl2_644
| ~ spl2_118
| spl2_84
| ~ spl2_324
| spl2_202
| spl2_139 ),
inference(rat,[],[s10333,s11469,s3830,s7143,s2519,s8857,s7471,s13085,s13034,s12632,s8794,s5874,s2369,s8869,s2527,s7575,s4788,s12198,s5562,s10964,s445,s1911,s4060,s11586,s656,s650,s724,s733,s8943,s91,s201,s9321,s7597,s4803,s5255,s13083,s5518,s4007,s3476,s12571,s12991]) ).
cnf(s13092,plain,
( spl2_93
| spl2_84
| spl2_234
| spl2_202
| spl2_139 ),
inference(rat,[],[s1029,s5885,s988,s6071,s271,s10767,s1496,s13090,s13091,s13086,s8943,s1263,s10714,s749,s4007,s3476,s230,s91,s10232,s4903,s8947,s168,s201,s9321,s7597,s4803,s5255,s13083,s9791,s5518,s12991,s12571]) ).
cnf(s13093,plain,
( spl2_84
| spl2_234
| spl2_202
| spl2_139 ),
inference(rat,[],[s9154,s827,s5118,s13092,s8947,s168,s201,s9321,s7597,s4803,s5255,s13083,s9791,s5518,s12991,s12571]) ).
cnf(s13094,plain,
( ~ spl2_532
| ~ spl2_644
| ~ spl2_84 ),
inference(rat,[],[s4390,s9064,s7276,s12990]) ).
cnf(s13095,plain,
( ~ spl2_182
| ~ spl2_355
| ~ spl2_371
| ~ spl2_98
| ~ spl2_94 ),
inference(rat,[],[s6923,s5645,s1505,s1347,s8545,s12991]) ).
cnf(s13096,plain,
( spl2_29
| spl2_196
| ~ spl2_26
| spl2_308
| ~ spl2_47
| ~ spl2_644
| spl2_93
| ~ spl2_84
| spl2_202
| spl2_139 ),
inference(rat,[],[s13085,s7917,s2522,s11511,s5387,s4783,s10791,s1617,s26,s10697,s11744,s7605,s2025,s5381,s8870,s11413,s5562,s445,s4060,s8365,s2058,s11586,s3619,s13094,s733,s4803,s5255,s13083,s5518,s12990,s12991,s12571]) ).
cnf(s13097,plain,
( spl2_93
| spl2_234
| spl2_202
| spl2_139 ),
inference(rat,[],[s5387,s573,s9734,s8,s271,s1500,s9053,s9015,s13096,s12632,s5874,s12782,s13059,s13095,s13089,s4517,s5381,s8870,s8869,s11413,s7575,s5562,s445,s4060,s11586,s3619,s13094,s10697,s11744,s10767,s67,s6071,s12901,s9521,s8365,s7605,s2058,s2025,s4438,s504,s8947,s4903,s13052,s724,s733,s8943,s4803,s5255,s13083,s5518,s10714,s13093,s12990,s12571,s12991]) ).
cnf(s13098,plain,
( spl2_234
| spl2_202
| spl2_139 ),
inference(rat,[],[s9033,s7536,s9131,s1515,s11726,s829,s5118,s13097,s9419,s13093,s5186,s12990]) ).
cnf(s13099,plain,
( ~ spl2_47
| spl2_84
| spl2_93
| spl2_202
| spl2_139 ),
inference(rat,[],[s9263,s879,s8871,s4948,s9522,s10962,s10963,s8545,s9223,s8301,s5874,s12084,s6897,s8556,s8869,s7471,s7575,s4764,s4044,s1041,s9064,s4978,s13054,s3619,s2025,s1263,s11609,s201,s10519,s1845,s13098,s5603,s9521,s9321,s7597,s4803,s5255,s8943,s13083,s733,s5518,s724,s12991,s12571,s12990]) ).
cnf(s13100,plain,
( spl2_29
| spl2_132
| spl2_93
| ~ spl2_234
| spl2_139 ),
inference(rat,[],[s10633,s10791,s13,s67,s26,s12893,s724,s9521,s8943,s13083,s733,s5518,s12571,s12991]) ).
cnf(s13101,plain,
( spl2_84
| spl2_93
| spl2_202
| spl2_139 ),
inference(rat,[],[s7546,s5292,s8870,s8869,s4945,s5874,s13059,s9154,s13100,s8545,s650,s13099,s1845,s10519,s11609,s9521,s201,s9321,s7597,s733,s1222,s8943,s4803,s5255,s13083,s5518,s1263,s13098,s12991,s12571]) ).
cnf(s13102,plain,
( ~ spl2_94
| ~ spl2_47
| spl2_93
| spl2_202
| spl2_139 ),
inference(rat,[],[s9053,s8870,s1500,s11413,s271,s5562,s12784,s445,s2096,s4060,s4170,s4128,s5995,s1347,s10767,s13,s13059,s67,s6071,s9733,s11234,s12901,s4932,s5937,s724,s4803,s5255,s1263,s8365,s2058,s10519,s1845,s9521,s8943,s733,s5518,s9015,s9154,s13100,s7605,s2025,s13101,s13098,s13083,s12571,s12990,s12991]) ).
cnf(s13103,plain,
( ~ spl2_47
| spl2_93
| spl2_202
| spl2_139 ),
inference(rat,[],[s9382,s4978,s4128,s13075,s8947,s13102,s9154,s10519,s13100,s9521,s7605,s2058,s2025,s733,s8943,s4803,s5255,s13083,s5518,s13098,s13101,s12991,s12990,s12571]) ).
cnf(s13104,plain,
( spl2_93
| spl2_202
| spl2_139 ),
inference(rat,[],[s2522,s11606,s4715,s2435,s650,s307,s8545,s8451,s13059,s10964,s5392,s5874,s8869,s5588,s7575,s4788,s5562,s445,s11405,s13031,s10767,s888,s67,s6071,s8212,s10697,s1029,s9154,s5603,s1845,s13100,s9521,s13053,s4605,s10250,s504,s13103,s13101,s724,s733,s8943,s4803,s5255,s13083,s5518,s1263,s13098,s12991,s12571]) ).
cnf(s13105,plain,
( spl2_178
| spl2_15
| spl2_132
| ~ spl2_93
| spl2_278 ),
inference(rat,[],[s6071,s10726,s7,s828,s9732,s12571]) ).
cnf(s13106,plain,
( spl2_202
| spl2_139 ),
inference(rat,[],[s4996,s11694,s5119,s13105,s26,s9321,s9154,s1525,s829,s5118,s13104,s13098,s5518,s13083,s12991,s12571]) ).
cnf(s13107,plain,
( ~ spl2_180
| spl2_234
| spl2_84
| spl2_93
| spl2_139 ),
inference(rat,[],[s6765,s13087,s8869,s7865,s5634,s8545,s650,s1222,s9338,s9374,s186,s5603,s9521,s8943,s733,s749,s91,s4811,s9720,s9321,s6371,s8947,s13052,s13106,s7597,s4803,s5255,s13083,s5518,s724,s12991,s12571,s12990]) ).
cnf(s13108,plain,
( spl2_234
| spl2_84
| spl2_93
| spl2_139 ),
inference(rat,[],[s6195,s8868,s10962,s9580,s3830,s12613,s8870,s8857,s9497,s10238,s7575,s6026,s11467,s8646,s5562,s10964,s445,s1911,s4060,s656,s13107,s7143,s7471,s13034,s5937,s8947,s4811,s230,s13052,s9720,s10232,s10714,s724,s9338,s9374,s91,s6370,s201,s5938,s9521,s9321,s7597,s4803,s5255,s8943,s13083,s733,s5518,s13106,s12571,s12991,s12990]) ).
cnf(s13109,plain,
( spl2_84
| spl2_93
| spl2_139 ),
inference(rat,[],[s650,s656,s8545,s1867,s13059,s10964,s5874,s8869,s7575,s6026,s5562,s445,s13031,s10767,s888,s6071,s8212,s10697,s1029,s9154,s1845,s13100,s13108,s9521,s201,s9321,s7597,s733,s8943,s4803,s5255,s13083,s5518,s9338,s13106,s9374,s12991,s12571,s12990]) ).
cnf(s13110,plain,
( spl2_308
| spl2_15
| ~ spl2_455
| ~ spl2_96
| ~ spl2_234
| spl2_93
| spl2_278 ),
inference(rat,[],[s6601,s10726,s1569]) ).
cnf(s13111,plain,
( ~ spl2_308
| spl2_70
| spl2_329
| spl2_139 ),
inference(rat,[],[s1941,s6063,s6071,s724,s13106,s12991,s12571]) ).
cnf(s13112,plain,
( spl2_169
| ~ spl2_180
| ~ spl2_132
| spl2_93
| spl2_139 ),
inference(rat,[],[s8212,s3100,s1029,s9460,s26,s6794,s13110,s1569,s10767,s13111,s5178,s666,s5562,s1914,s445,s12613,s8870,s4300,s7538,s9257,s10964,s8943,s4803,s5255,s9320,s10828,s9321,s10735,s10511,s13052,s8947,s5518,s724,s4782,s1222,s13083,s10679,s650,s504,s13109,s9338,s13106,s9374,s12990,s12991,s12571]) ).
cnf(s13113,plain,
( ~ spl2_180
| ~ spl2_132
| spl2_93
| spl2_139 ),
inference(rat,[],[s445,s9362,s12803,s8870,s8296,s8240,s8292,s13112,s8545,s650,s733,s9321,s10511,s13052,s8947,s504,s13109,s9338,s13106,s9374,s5518,s724,s12990,s12991,s12571]) ).
cnf(s13114,plain,
( ~ spl2_132
| spl2_93
| spl2_139 ),
inference(rat,[],[s8646,s5512,s12056,s3056,s5562,s445,s10964,s4060,s10820,s13113,s9320,s9321,s4803,s5255,s13083,s5518,s8947,s504,s13109,s9338,s13106,s9374,s12571,s12991,s12990]) ).
cnf(s13115,plain,
( spl2_93
| spl2_139 ),
inference(rat,[],[s8870,s9505,s9053,s4715,s307,s9107,s10964,s5874,s8869,s10268,s5588,s6026,s7575,s1690,s8969,s5562,s394,s9460,s445,s402,s6794,s13031,s10767,s888,s67,s6071,s8194,s8212,s10697,s1029,s9015,s1845,s13100,s9521,s201,s13114,s13052,s8947,s504,s13109,s724,s733,s8943,s4041,s4803,s5255,s13083,s5518,s9338,s13106,s9374,s12571,s12990,s12991]) ).
cnf(s13116,plain,
spl2_139,
inference(rat,[],[s11694,s1525,s4996,s9791,s5119,s168,s13105,s8947,s201,s26,s504,s9321,s9154,s825,s829,s5118,s13115,s9338,s13106,s13083,s9374,s5518,s12991,s12571,s12990]) ).
cnf(s13117,plain,
( ~ spl2_132
| spl2_84
| spl2_234
| spl2_93 ),
inference(rat,[],[s4553,s4555,s10253,s8869,s8646,s12857,s5805,s10424,s4803,s859,s3935,s7597,s9150,s9321,s680,s7344,s997,s733,s13013,s2641,s6993,s8947,s4388,s4903,s13052,s5091,s2025,s604,s8558,s4207,s749,s91,s12991,s13116,s12990,s12992,s12571]) ).
cnf(s13118,plain,
( spl2_17
| spl2_29
| ~ spl2_693
| ~ spl2_169
| spl2_180
| spl2_132
| spl2_278
| ~ spl2_244
| spl2_84 ),
inference(rat,[],[s1968,s11694,s1500,s10280,s271,s12,s9732,s12599,s13,s10726,s67,s6071,s10383,s26,s12571,s12991]) ).
cnf(s13119,plain,
( spl2_29
| ~ spl2_693
| spl2_70
| ~ spl2_169
| spl2_180
| spl2_132
| ~ spl2_244
| ~ spl2_202
| spl2_84 ),
inference(rat,[],[s10399,s4105,s7,s1941,s13118,s26,s5091,s2025,s604,s12991,s12990]) ).
cnf(s13120,plain,
( ~ spl2_203
| ~ spl2_555
| spl2_196
| ~ spl2_47
| ~ spl2_202 ),
inference(rat,[],[s10334,s348,s938,s4044,s13116]) ).
cnf(s13121,plain,
( spl2_17
| spl2_206
| spl2_140
| spl2_312
| ~ spl2_29
| spl2_254
| ~ spl2_169
| spl2_132
| ~ spl2_301
| ~ spl2_244
| ~ spl2_202 ),
inference(rat,[],[s3416,s3104,s1501,s1498,s271,s8,s1816,s12619,s10697,s6994,s5078,s349,s452,s4929,s10726,s67,s6071,s5091,s2025,s604,s13116,s12571,s12990]) ).
cnf(s13122,plain,
( spl2_84
| spl2_234
| spl2_93 ),
inference(rat,[],[s452,s349,s7,s1941,s13121,s7917,s13120,s9731,s6600,s8797,s13119,s5381,s4803,s12613,s5178,s5254,s7855,s12707,s8646,s10964,s1867,s8870,s656,s12650,s12918,s6026,s6370,s201,s13117,s13013,s12632,s2641,s6993,s4388,s8947,s4903,s13052,s733,s680,s5091,s7344,s2025,s604,s8558,s4207,s749,s91,s997,s10714,s13116,s12991,s12990]) ).
cnf(s13123,plain,
( spl2_169
| ~ spl2_94
| spl2_121
| ~ spl2_207
| spl2_226
| ~ spl2_98
| spl2_132 ),
inference(rat,[],[s13095,s1902,s1588,s1743,s13059,s1531,s10964,s13116]) ).
cnf(s13124,plain,
( ~ spl2_47
| spl2_234
| spl2_93 ),
inference(rat,[],[s12613,s5381,s3812,s8870,s5388,s5562,s4362,s5254,s3619,s12782,s7276,s13123,s4438,s5463,s4803,s5819,s1263,s7277,s6370,s5085,s4791,s6074,s859,s201,s8365,s7605,s2058,s2025,s13122,s12991,s12571,s12999,s13116,s12990]) ).
cnf(s13125,plain,
( ~ spl2_132
| spl2_234
| spl2_93 ),
inference(rat,[],[s10335,s10820,s8646,s650,s12056,s5254,s5562,s445,s12176,s12175,s4803,s2641,s4207,s5819,s4007,s5093,s11448,s4096,s6074,s4939,s9320,s9321,s10250,s13052,s8947,s504,s13124,s13122,s12991,s12571,s12990,s13116]) ).
cnf(s13126,plain,
( spl2_169
| spl2_347
| spl2_299
| ~ spl2_112
| spl2_186
| spl2_132
| spl2_47 ),
inference(rat,[],[s650,s8545,s1507,s13059,s12991]) ).
cnf(s13127,plain,
( ~ spl2_180
| spl2_234
| spl2_93 ),
inference(rat,[],[s8870,s5861,s7919,s445,s4782,s8238,s9582,s650,s1222,s4791,s8943,s6181,s13126,s1408,s9158,s582,s8287,s8702,s13052,s8947,s155,s2017,s5186,s3377,s154,s10232,s604,s10250,s683,s10769,s504,s904,s186,s6074,s11448,s720,s4783,s170,s13125,s13124,s13122,s13116,s12990,s12991]) ).
cnf(s13128,plain,
( spl2_234
| spl2_93 ),
inference(rat,[],[s2641,s8646,s4945,s9382,s8870,s5562,s5865,s1180,s656,s13127,s13126,s1408,s9158,s582,s8287,s3377,s186,s154,s4791,s6074,s10232,s8943,s2030,s8702,s11448,s604,s720,s683,s9166,s4783,s10769,s170,s13125,s13052,s155,s8947,s10250,s2017,s504,s904,s13124,s13122,s5186,s12571,s13116,s12991]) ).
cnf(s13129,plain,
( spl2_206
| ~ spl2_203
| spl2_202
| spl2_84
| ~ spl2_234 ),
inference(rat,[],[s10456,s10963,s10256,s10962,s319,s4652,s4664,s1041,s12999,s12991,s13116]) ).
cnf(s13130,plain,
( spl2_202
| ~ spl2_132
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s8870,s12141,s4362,s13054,s13129,s330,s13018,s5255,s733,s4939,s10519,s4007,s4207,s1263,s13128,s4320,s4803,s7597,s9321,s12991,s12999,s13116,s12571]) ).
cnf(s13131,plain,
( ~ spl2_180
| ~ spl2_202
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s5861,s8870,s4788,s9064,s4243,s4978,s3619,s733,s5091,s2025,s13116,s12990]) ).
cnf(s13132,plain,
( ~ spl2_182
| ~ spl2_255
| spl2_356
| ~ spl2_169
| ~ spl2_244 ),
inference(rat,[],[s9514,s5645,s3623,s1588,s8545,s13116,s12991]) ).
cnf(s13134,plain,
( spl2_17
| ~ spl2_363
| ~ spl2_132
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s12159,s67,s22,s5255,s5091,s13130,s2025,s4803,s7597,s9321,s13116,s12991,s12571,s12990]) ).
cnf(s13135,plain,
( ~ spl2_191
| ~ spl2_132
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s12121,s12399,s13134,s8646,s2527,s4339,s91,s10964,s10802,s13131,s13130,s9321,s12991,s13116,s12571]) ).
cnf(s13136,plain,
( ~ spl2_132
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s8646,s5512,s12056,s3056,s5562,s445,s13135,s10964,s10802,s13131,s8947,s12819,s5255,s5091,s13130,s4803,s7597,s9321,s13128,s2025,s12571,s12991,s12990]) ).
cnf(s13137,plain,
( ~ spl2_180
| spl2_169
| spl2_202
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s2334,s10963,s5383,s7752,s5255,s8943,s2305,s12233,s6474,s2111,s6130,s1545,s7471,s330,s10962,s371,s5254,s13129,s4664,s9064,s5664,s4978,s13054,s3619,s13128,s2025,s997,s1570,s4207,s5463,s4803,s5819,s13136,s13116,s12991,s12571,s12990]) ).
cnf(s13138,plain,
( spl2_169
| spl2_202
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s5383,s5255,s12613,s12104,s3866,s445,s5562,s6026,s5458,s1867,s4309,s4362,s656,s13137,s10964,s13128,s201,s13136,s1263,s4803,s5819,s764,s4207,s997,s13116,s12991,s12571,s12999]) ).
cnf(s13139,plain,
( ~ spl2_180
| spl2_202
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s4903,s4388,s9382,s1845,s12198,s1545,s5509,s5254,s13129,s5939,s4978,s13054,s13128,s2025,s5463,s4803,s5819,s13136,s13138,s13116,s12991,s12990]) ).
cnf(s13140,plain,
( spl2_202
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s8647,s5369,s5254,s733,s5562,s13038,s8943,s3866,s3934,s4791,s12613,s10519,s2848,s7606,s4945,s12141,s8870,s4362,s13139,s13138,s5463,s764,s4803,s4207,s5819,s1263,s13128,s997,s13136,s12571,s12991,s13116,s12999]) ).
cnf(s13141,plain,
( ~ spl2_269
| spl2_186
| spl2_180
| ~ spl2_202
| spl2_132
| ~ spl2_144
| ~ spl2_234 ),
inference(rat,[],[s5255,s12819,s4803,s10769,s4060,s9166,s445,s13011,s5562,s5091,s12991,s12571]) ).
cnf(s13142,plain,
( spl2_255
| spl2_94
| spl2_269
| spl2_132
| ~ spl2_75
| ~ spl2_621 ),
inference(rat,[],[s9129,s9131,s9382,s2017,s8947,s12991]) ).
cnf(s13143,plain,
( ~ spl2_140
| spl2_197
| ~ spl2_254
| ~ spl2_590
| ~ spl2_355
| ~ spl2_244
| ~ spl2_202 ),
inference(rat,[],[s844,s3675,s1904,s7512,s8410]) ).
cnf(s13144,plain,
( spl2_17
| ~ spl2_254
| ~ spl2_645
| ~ spl2_244
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s8871,s9632,s8963,s1041,s9719,s6897,s549,s7917,s7471,s926,s11080,s5078,s26,s452,s5995,s10791,s10268,s13143,s6545,s10698,s67,s6071,s4764,s12613,s2848,s4945,s8870,s9501,s13132,s13142,s91,s3803,s1751,s1366,s4060,s4803,s5463,s12819,s10964,s1867,s6026,s201,s656,s13141,s680,s7344,s997,s13131,s13136,s13128,s733,s5091,s13140,s2025,s12990,s12571,s13116,s12991]) ).
cnf(s13145,plain,
( ~ spl2_17
| ~ spl2_226
| spl2_70
| ~ spl2_202
| ~ spl2_47 ),
inference(rat,[],[s4354,s4105,s6186,s1941,s12991]) ).
cnf(s13146,plain,
( spl2_29
| spl2_456
| spl2_18
| ~ spl2_26
| spl2_180
| spl2_52 ),
inference(rat,[],[s2435,s1500,s43,s271,s13,s12,s26,s10383,s12991]) ).
cnf(s13147,plain,
( spl2_15
| ~ spl2_29
| ~ spl2_92
| ~ spl2_26
| spl2_308
| ~ spl2_590
| ~ spl2_355
| ~ spl2_244
| spl2_278
| ~ spl2_202
| spl2_132 ),
inference(rat,[],[s5078,s10288,s926,s3675,s9732,s7512,s8410,s13,s10726,s6545]) ).
cnf(s13148,plain,
( spl2_301
| ~ spl2_244
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s8871,s9632,s8963,s1041,s9719,s6897,s7917,s7471,s11080,s549,s10268,s926,s1690,s5078,s452,s5995,s13147,s13146,s2573,s12718,s10698,s6019,s13144,s67,s6071,s22,s13145,s4811,s4791,s4388,s10693,s4764,s3893,s10769,s12613,s2848,s4945,s8870,s9501,s13132,s13142,s91,s3803,s1751,s1366,s4060,s4803,s5463,s12819,s10964,s1867,s6026,s201,s656,s13141,s680,s7344,s997,s13131,s13136,s13128,s733,s5091,s13140,s2025,s12990,s12571,s13116,s12991]) ).
cnf(s13149,plain,
( ~ spl2_244
| spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s2641,s13148,s4945,s8870,s9501,s13132,s8646,s13142,s1751,s1366,s4060,s4803,s5463,s12819,s3803,s91,s733,s5091,s10964,s1867,s6026,s13141,s680,s7344,s997,s2025,s13128,s201,s13136,s656,s13131,s13140,s13116,s12991,s12990]) ).
cnf(s13150,plain,
( spl2_84
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s4945,s10519,s8870,s4791,s5865,s8943,s2030,s13149,s10964,s1867,s6026,s13141,s656,s680,s13131,s7344,s13140,s201,s13136,s997,s13128,s2025,s13116,s12991,s12990]) ).
cnf(s13151,plain,
( ~ spl2_180
| ~ spl2_128
| ~ spl2_345
| ~ spl2_47 ),
inference(rat,[],[s9496,s6026,s9064,s4128,s4978,s3619,s2025,s8365,s12990]) ).
cnf(s13152,plain,
( ~ spl2_244
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s11741,s6186,s1538,s2756,s13059,s12782,s1588,s5254,s1751,s5562,s1365,s3812,s3476,s4791,s8844,s12613,s3782,s10519,s2848,s7629,s6993,s2614,s4207,s8365,s4438,s5463,s4803,s5819,s8870,s4362,s13151,s201,s7605,s2025,s2058,s1263,s379,s13150,s13128,s13116,s12571,s12991,s12999,s12990]) ).
cnf(s13153,plain,
( ~ spl2_269
| ~ spl2_47
| spl2_93 ),
inference(rat,[],[s12613,s5381,s3812,s5388,s5562,s8870,s4362,s13151,s201,s7605,s2025,s2058,s1263,s5255,s13152,s4803,s5819,s379,s13150,s13128,s12991,s12571,s13116,s12999,s12990]) ).
cnf(s13154,plain,
( ~ spl2_47
| spl2_93 ),
inference(rat,[],[s11961,s2751,s1545,s13059,s13095,s12613,s8869,s5805,s13153,s4945,s10519,s4791,s8943,s1222,s13152,s8870,s4362,s656,s13151,s5463,s4803,s201,s8365,s5819,s1263,s7605,s2058,s379,s13150,s2025,s13128,s13116,s12991,s12999,s12990]) ).
cnf(s13155,plain,
( ~ spl2_132
| ~ spl2_180
| spl2_202
| spl2_84
| spl2_93 ),
inference(rat,[],[s5937,s1845,s10250,s4007,s12174,s4320,s7096,s9321,s13128,s445,s5562,s5254,s650,s13154,s4803,s5819,s12990,s12991,s12571,s13116]) ).
cnf(s13156,plain,
( ~ spl2_180
| spl2_202
| spl2_84
| spl2_93 ),
inference(rat,[],[s5509,s8646,s5939,s5538,s4754,s13155,s2527,s9499,s445,s5562,s5254,s8545,s650,s13154,s91,s4803,s5819,s12991,s12571,s13116]) ).
cnf(s13157,plain,
( ~ spl2_455
| ~ spl2_94
| spl2_748
| ~ spl2_556
| ~ spl2_234 ),
inference(rat,[],[s5255,s6993,s5383,s2848]) ).
cnf(s13158,plain,
( spl2_202
| spl2_84
| spl2_93 ),
inference(rat,[],[s8647,s5369,s10964,s733,s8943,s1867,s4788,s5805,s5254,s6026,s5562,s3812,s12613,s11541,s13157,s5463,s201,s6484,s5458,s9321,s186,s12141,s8870,s4362,s656,s13156,s4803,s4207,s5819,s1263,s13128,s12991,s13116,s12571,s12999]) ).
cnf(s13159,plain,
( ~ spl2_132
| spl2_254
| spl2_84
| spl2_93 ),
inference(rat,[],[s1487,s9257,s8870,s2527,s10735,s12613,s5861,s9499,s10519,s2848,s445,s6482,s4939,s5562,s5255,s5178,s4803,s3893,s7597,s9321,s13128,s91,s680,s997,s904,s4782,s1222,s604,s13158,s13154,s13116,s12991,s12571]) ).
cnf(s13160,plain,
( ~ spl2_299
| spl2_748
| ~ spl2_92
| ~ spl2_555
| spl2_244
| spl2_93 ),
inference(rat,[],[s10792,s6601,s5383,s26,s11805,s9154,s2756,s1545,s13128,s13154,s1222,s12991,s13116]) ).
cnf(s13161,plain,
( ~ spl2_180
| spl2_84
| spl2_93 ),
inference(rat,[],[s445,s5562,s5861,s5805,s8870,s8869,s4945,s9009,s13059,s13160,s8850,s5458,s6070,s10271,s10280,s3893,s9166,s11499,s4803,s10769,s12985,s11753,s11804,s10519,s4791,s13159,s4782,s8545,s650,s13128,s1222,s8943,s604,s13158,s13154,s12571,s13116,s12990,s12991]) ).
cnf(s13162,plain,
( ~ spl2_132
| spl2_84
| spl2_93 ),
inference(rat,[],[s9496,s445,s5642,s5562,s6675,s5805,s10735,s12613,s7768,s10519,s2848,s7527,s4945,s5255,s10964,s4803,s10802,s7597,s13159,s9321,s13128,s8943,s8870,s5865,s656,s13161,s2030,s604,s13158,s13154,s12571,s13116,s12991]) ).
cnf(s13163,plain,
( spl2_84
| spl2_93 ),
inference(rat,[],[s5562,s6026,s1180,s1867,s9166,s10964,s10769,s4945,s11804,s10519,s4791,s201,s13162,s8870,s5865,s656,s13161,s8943,s2030,s604,s13158,s680,s997,s13128,s904,s13154,s12571,s12991,s13116]) ).
cnf(s13164,plain,
( spl2_202
| ~ spl2_132
| spl2_93 ),
inference(rat,[],[s4088,s650,s10964,s5254,s3056,s5562,s445,s12180,s5255,s5512,s8697,s1845,s4803,s4007,s5819,s10250,s9321,s424,s9104,s13128,s9419,s4096,s9320,s504,s13163,s13154,s12991,s12571,s13116,s12990]) ).
cnf(s13165,plain,
( ~ spl2_168
| ~ spl2_180
| ~ spl2_132
| spl2_93 ),
inference(rat,[],[s6195,s10962,s12613,s8870,s1059,s9501,s1041,s733,s9457,s8697,s8831,s4388,s8871,s4295,s9673,s9719,s1142,s9503,s7839,s10963,s8868,s7752,s9672,s7471,s553,s9330,s11769,s7536,s8869,s4803,s9033,s5805,s5254,s12056,s4764,s5562,s445,s2889,s6756,s8947,s9321,s9104,s13128,s9419,s1222,s2030,s8943,s604,s13164,s8239,s2604,s8545,s4650,s650,s10250,s504,s13163,s13154,s12990,s13116,s12571,s12991]) ).
cnf(s13166,plain,
( ~ spl2_269
| ~ spl2_169
| spl2_177
| ~ spl2_180
| ~ spl2_132 ),
inference(rat,[],[s4699,s9496,s6413,s445,s5750,s5562,s9321,s12990,s12571]) ).
cnf(s13167,plain,
( ~ spl2_180
| ~ spl2_132
| spl2_93 ),
inference(rat,[],[s6195,s8870,s4937,s5861,s10962,s445,s4441,s10963,s8868,s10735,s3056,s5759,s7752,s9672,s5874,s5512,s7471,s330,s8869,s8646,s12354,s5805,s12056,s4764,s13166,s10964,s13165,s4650,s4782,s8545,s650,s10250,s8947,s504,s13163,s9321,s4085,s9320,s1222,s8943,s604,s13164,s13154,s13116,s12571,s12991]) ).
cnf(s13168,plain,
( ~ spl2_132
| spl2_93 ),
inference(rat,[],[s4803,s5255,s4060,s6482,s445,s1487,s5562,s8664,s5805,s10735,s12613,s10519,s2848,s4945,s8870,s10964,s5865,s10820,s656,s13167,s8943,s2030,s11448,s604,s13164,s9320,s13128,s504,s13163,s13154,s12991,s12571,s13116]) ).
cnf(s13169,plain,
( ~ spl2_299
| spl2_93 ),
inference(rat,[],[s186,s5458,s11373,s13160,s1525,s1545,s13128,s4803,s5463,s504,s604,s720,s4783,s170,s13168,s13163,s13154,s13116,s12991]) ).
cnf(s13170,plain,
( spl2_254
| spl2_93 ),
inference(rat,[],[s445,s5562,s5861,s5805,s8870,s8869,s4945,s5874,s13059,s4782,s8545,s1222,s10519,s1845,s4791,s8943,s604,s720,s4783,s170,s13163,s13154,s13168,s13128,s13169,s12571,s13116,s12991]) ).
cnf(s13172,plain,
( spl2_17
| spl2_93 ),
inference(rat,[],[s2642,s4995,s11791,s10767,s67,s6071,s1845,s5383,s5458,s4088,s10964,s4945,s8870,s10519,s4791,s13128,s12613,s5805,s5562,s1179,s9166,s683,s10769,s504,s904,s8943,s5865,s656,s650,s13170,s2030,s604,s720,s4783,s170,s13168,s13163,s13154,s12991,s13116,s12571]) ).
cnf(s13173,plain,
spl2_93,
inference(rat,[],[s269,s1502,s11798,s526,s13172,s13059,s4945,s8870,s5865,s304,s9398,s656,s650,s13170,s13169,s271,s11499,s12985,s10519,s4791,s8943,s2030,s604,s720,s683,s789,s4783,s10769,s170,s13168,s504,s13163,s904,s13154,s13128,s13116,s12991,s12992]) ).
cnf(s13174,plain,
spl2_299,
inference(rat,[],[s5118,s13173]) ).
cnf(s13175,plain,
spl2_203,
inference(rat,[],[s1545,s13116,s13174]) ).
cnf(s13176,plain,
spl2_17,
inference(rat,[],[s2756,s13116,s13174]) ).
cnf(s13177,plain,
spl2_191,
inference(rat,[],[s831,s13173,s13175]) ).
cnf(s13182,plain,
spl2_98,
inference(rat,[],[s1515,s13174,s13177]) ).
cnf(s13187,plain,
~ spl2_6,
inference(rat,[],[s11685,s13173,s13182]) ).
cnf(s13188,plain,
spl2_5,
inference(rat,[],[s4783,s12991,s13187]) ).
cnf(s13189,plain,
( ~ spl2_144
| ~ spl2_132 ),
inference(rat,[],[s749,s13129,s4207,s91,s832,s5103,s7605,s4978,s9150,s13175,s13116,s12991,s13173,s13174]) ).
cnf(s13190,plain,
spl2_244,
inference(rat,[],[s7340,s6421,s10585,s10792,s1565,s11731,s2031,s26,s2738,s9154,s13116,s13176,s13174,s13188,s12991]) ).
cnf(s13191,plain,
spl2_254,
inference(rat,[],[s5102,s13173,s13190]) ).
cnf(s13193,plain,
spl2_94,
inference(rat,[],[s1519,s13174,s13191]) ).
cnf(s13197,plain,
( spl2_202
| spl2_47 ),
inference(rat,[],[s504,s12412,s13176,s13182,s12991,s13116,s13193]) ).
cnf(s13198,plain,
spl2_47,
inference(rat,[],[s13197,s604,s13190]) ).
cnf(s13200,plain,
~ spl2_471,
inference(rat,[],[s6993,s13190,s13193]) ).
cnf(s13201,plain,
spl2_144,
inference(rat,[],[s2025,s12990,s13198]) ).
cnf(s13209,plain,
~ spl2_132,
inference(rat,[],[s13189,s13201]) ).
cnf(s13213,plain,
spl2_128,
inference(rat,[],[s201,s13209]) ).
cnf(s13215,plain,
~ spl2_278,
inference(rat,[],[s5107,s13173,s13209]) ).
cnf(s13221,plain,
~ spl2_207,
inference(rat,[],[s6370,s13215,s13213]) ).
cnf(s13225,plain,
spl2_234,
inference(rat,[],[s6074,s13116,s13182,s13221]) ).
cnf(s13230,plain,
~ spl2_202,
inference(rat,[],[s12819,s13190,s13193,s13225]) ).
cnf(s13234,plain,
~ spl2_301,
inference(rat,[],[s10519,s13200,s13225]) ).
cnf(s13246,plain,
spl2_229,
inference(rat,[],[s4207,s12991,s13116,s13230]) ).
cnf(s13256,plain,
~ spl2_549,
inference(rat,[],[s4007,s13230,s13234]) ).
cnf(s13271,plain,
spl2_118,
inference(rat,[],[s824,s13173,s13246]) ).
cnf(s13282,plain,
$false,
inference(rat,[],[s3476,s13256,s13271]) ).
thf(f142841,plain,
$false,
inference(avatar_sat_refutation,[],[s13282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA115^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 18:59:36 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.22 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
% 0.19/0.33 % (2513652)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.33 % (2513658)lrs+10_16_si=on:nwc=1.5:random_seed=2672245261:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.33 % (2513663)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.33 % (2513663)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
% 0.19/0.33 % (2513658)Instruction limit reached!
% 0.19/0.33 % (2513658)------------------------------
% 0.19/0.33 % (2513658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (2513658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (2513658)CaDiCaL version: 2.1.3
% 0.19/0.33 % (2513658)Termination reason: Instruction limit
% 0.19/0.33 % (2513658)Termination phase: Saturation
% 0.19/0.33 % (2513658)Time elapsed: 0.005 s
% 0.19/0.33 % (2513658)Peak memory usage: 12 MB
% 0.19/0.33 % (2513658)Instructions burned: 18 (million)
% 0.19/0.33 % (2513657)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4236009697:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.33 % (2513661)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3467305392:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.33 % (2513659)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1971828273:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.33 % (2513660)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=2182060404: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)
% 0.19/0.33 % (2513662)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=181373352:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.33 % (2513663)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=3806603918:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.33 % (2513659)Instruction limit reached!
% 0.19/0.33 % (2513659)------------------------------
% 0.19/0.33 % (2513659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (2513659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (2513659)CaDiCaL version: 2.1.3
% 0.19/0.33 % (2513659)Termination reason: Instruction limit
% 0.19/0.33 % (2513659)Termination phase: Saturation
% 0.19/0.33 % (2513659)Time elapsed: 0.003 s
% 0.19/0.33 % (2513659)Peak memory usage: 12 MB
% 0.19/0.33 % (2513659)Instructions burned: 4 (million)
% 0.19/0.33 % (2513665)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=780329627:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.19/0.33 % (2513665)Instruction limit reached!
% 0.19/0.33 % (2513665)------------------------------
% 0.19/0.33 % (2513665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (2513665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (2513665)CaDiCaL version: 2.1.3
% 0.19/0.33 % (2513665)Termination reason: Instruction limit
% 0.19/0.33 % (2513665)Termination phase: Saturation
% 0.19/0.33 % (2513665)Time elapsed: 0.001 s
% 0.19/0.33 % (2513665)Peak memory usage: 12 MB
% 0.19/0.33 % (2513665)Instructions burned: 2 (million)
% 0.19/0.33 % (2513661)Instruction limit reached!
% 0.19/0.33 % (2513661)------------------------------
% 0.19/0.33 % (2513661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (2513661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (2513661)CaDiCaL version: 2.1.3
% 0.19/0.33 % (2513661)Termination reason: Instruction limit
% 0.19/0.33 % (2513661)Termination phase: Saturation
% 0.19/0.33 % (2513661)Time elapsed: 0.014 s
% 0.19/0.33 % (2513661)Peak memory usage: 12 MB
% 0.19/0.33 % (2513661)Instructions burned: 26 (million)
% 0.19/0.33 % (2513674)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.19/0.36 % (2513674)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2773319517:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.19/0.36 % (2513672)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4017301232:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.19/0.36 % (2513674)Instruction limit reached!
% 0.19/0.36 % (2513674)------------------------------
% 0.19/0.36 % (2513674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (2513674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (2513674)CaDiCaL version: 2.1.3
% 0.19/0.36 % (2513674)Termination reason: Instruction limit
% 0.19/0.36 % (2513674)Termination phase: Saturation
% 0.19/0.36 % (2513674)Time elapsed: 0.003 s
% 0.19/0.36 % (2513674)Peak memory usage: 12 MB
% 0.19/0.36 % (2513674)Instructions burned: 10 (million)
% 0.19/0.36 % (2513672)Instruction limit reached!
% 0.19/0.36 % (2513672)------------------------------
% 0.19/0.36 % (2513672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (2513672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (2513672)CaDiCaL version: 2.1.3
% 0.19/0.36 % (2513672)Termination reason: Instruction limit
% 0.19/0.36 % (2513672)Termination phase: Saturation
% 0.19/0.36 % (2513672)Time elapsed: 0.004 s
% 0.19/0.36 % (2513672)Peak memory usage: 12 MB
% 0.19/0.36 % (2513672)Instructions burned: 6 (million)
% 0.19/0.36 % (2513675)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3184651254:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.19/0.36 % (2513678)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
% 0.19/0.36 % (2513678)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.19/0.36 % (2513678)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1554342806:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.19/0.36 % (2513662)Instruction limit reached!
% 0.19/0.36 % (2513662)------------------------------
% 0.19/0.36 % (2513662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (2513662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (2513662)CaDiCaL version: 2.1.3
% 0.19/0.36 % (2513662)Termination reason: Instruction limit
% 0.19/0.36 % (2513662)Termination phase: Saturation
% 0.19/0.36 % (2513662)Time elapsed: 0.036 s
% 0.19/0.36 % (2513662)Peak memory usage: 12 MB
% 0.19/0.36 % (2513662)Instructions burned: 77 (million)
% 0.19/0.36 % (2513657)Instruction limit reached!
% 0.19/0.36 % (2513657)------------------------------
% 0.19/0.36 % (2513657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (2513657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (2513657)CaDiCaL version: 2.1.3
% 0.19/0.36 % (2513657)Termination reason: Instruction limit
% 0.19/0.36 % (2513657)Termination phase: Saturation
% 0.19/0.36 % (2513657)Time elapsed: 0.037 s
% 0.19/0.36 % (2513657)Peak memory usage: 12 MB
% 0.19/0.36 % (2513657)Instructions burned: 88 (million)
% 0.19/0.36 % (2513675)Instruction limit reached!
% 0.19/0.36 % (2513675)------------------------------
% 0.19/0.36 % (2513675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (2513675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (2513675)CaDiCaL version: 2.1.3
% 0.19/0.36 % (2513675)Termination reason: Instruction limit
% 0.19/0.36 % (2513675)Termination phase: Saturation
% 0.19/0.36 % (2513675)Time elapsed: 0.007 s
% 0.19/0.36 % (2513675)Peak memory usage: 12 MB
% 0.19/0.36 % (2513675)Instructions burned: 12 (million)
% 0.19/0.36 % (2513678)Instruction limit reached!
% 0.19/0.36 % (2513678)------------------------------
% 0.19/0.36 % (2513678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.36 % (2513678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.36 % (2513678)CaDiCaL version: 2.1.3
% 0.19/0.36 % (2513678)Termination reason: Instruction limit
% 0.93/0.38 % (2513678)Termination phase: Saturation
% 0.93/0.38 % (2513678)Time elapsed: 0.008 s
% 0.93/0.38 % (2513678)Peak memory usage: 12 MB
% 0.93/0.38 % (2513678)Instructions burned: 30 (million)
% 0.93/0.38 % (2513679)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=659237317:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.93/0.38 % (2513683)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.93/0.38 % (2513685)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3834012564:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.93/0.38 % (2513685)Refutation not found, incomplete strategy
% 0.93/0.38 % (2513685)------------------------------
% 0.93/0.38 % (2513685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (2513685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.38 % (2513685)CaDiCaL version: 2.1.3
% 0.93/0.38 % (2513685)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.38 % (2513685)Time elapsed: 0.0000 s
% 0.93/0.38 % (2513685)Peak memory usage: 11 MB
% 0.93/0.38 % (2513685)Instructions burned: 1 (million)
% 0.93/0.38 % (2513685)------------------------------
% 0.93/0.38 % (2513685)------------------------------
% 0.93/0.38 % (2513682)lrs+10_1_si=on:cs=on:random_seed=1060264190:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.93/0.38 % (2513683)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=513969037:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.93/0.38 % (2513683)Instruction limit reached!
% 0.93/0.38 % (2513683)------------------------------
% 0.93/0.38 % (2513683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (2513683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.38 % (2513683)CaDiCaL version: 2.1.3
% 0.93/0.38 % (2513683)Termination reason: Instruction limit
% 0.93/0.38 % (2513683)Termination phase: Saturation
% 0.93/0.38 % (2513683)Time elapsed: 0.002 s
% 0.93/0.38 % (2513683)Peak memory usage: 11 MB
% 0.93/0.38 % (2513683)Instructions burned: 4 (million)
% 0.93/0.38 % (2513684)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1003098171:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.93/0.38 % (2513663)Instruction limit reached!
% 0.93/0.38 % (2513663)------------------------------
% 0.93/0.38 % (2513663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (2513663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.38 % (2513663)CaDiCaL version: 2.1.3
% 0.93/0.38 % (2513663)Termination reason: Instruction limit
% 0.93/0.38 % (2513663)Termination phase: Saturation
% 0.93/0.38 % (2513663)Time elapsed: 0.059 s
% 0.93/0.38 % (2513663)Peak memory usage: 13 MB
% 0.93/0.38 % (2513663)Instructions burned: 158 (million)
% 0.93/0.38 % (2513684)Refutation not found, incomplete strategy
% 0.93/0.38 % (2513684)------------------------------
% 0.93/0.38 % (2513684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (2513684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.38 % (2513684)CaDiCaL version: 2.1.3
% 0.93/0.38 % (2513684)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.38 % (2513684)Time elapsed: 0.001 s
% 0.93/0.38 % (2513684)Peak memory usage: 12 MB
% 0.93/0.38 % (2513684)Instructions burned: 1 (million)
% 0.93/0.38 % (2513682)Instruction limit reached!
% 0.93/0.38 % (2513682)------------------------------
% 0.93/0.38 % (2513682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.38 % (2513682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.38 % (2513682)CaDiCaL version: 2.1.3
% 0.93/0.38 % (2513682)Termination reason: Instruction limit
% 0.93/0.38 % (2513682)Termination phase: Saturation
% 0.93/0.38 % (2513682)Time elapsed: 0.005 s
% 0.93/0.38 % (2513682)Peak memory usage: 12 MB
% 0.93/0.38 % (2513682)Instructions burned: 9 (million)
% 0.93/0.38 % (2513684)------------------------------
% 0.93/0.38 % (2513684)------------------------------
% 0.93/0.38 % (2513688)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1764737968:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.93/0.41 % (2513688)Refutation not found, incomplete strategy
% 0.93/0.41 % (2513688)------------------------------
% 0.93/0.41 % (2513688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2513688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (2513688)CaDiCaL version: 2.1.3
% 0.93/0.41 % (2513688)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.41 % (2513688)Time elapsed: 0.0000 s
% 0.93/0.41 % (2513688)Peak memory usage: 11 MB
% 0.93/0.41 % (2513688)Instructions burned: 1 (million)
% 0.93/0.41 % (2513688)------------------------------
% 0.93/0.41 % (2513688)------------------------------
% 0.93/0.41 % (2513697)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3045990050:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.93/0.41 % (2513691)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4234151400:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.93/0.41 % (2513693)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1981024510:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.93/0.41 % (2513694)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2056957107:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.93/0.41 % (2513693)Refutation not found, incomplete strategy
% 0.93/0.41 % (2513693)------------------------------
% 0.93/0.41 % (2513693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2513693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (2513693)CaDiCaL version: 2.1.3
% 0.93/0.41 % (2513693)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.41 % (2513693)Time elapsed: 0.001 s
% 0.93/0.41 % (2513693)Peak memory usage: 11 MB
% 0.93/0.41 % (2513693)Instructions burned: 1 (million)
% 0.93/0.41 % (2513695)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3773548501: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)
% 0.93/0.41 % (2513693)------------------------------
% 0.93/0.41 % (2513693)------------------------------
% 0.93/0.41 % (2513695)Refutation not found, incomplete strategy
% 0.93/0.41 % (2513695)------------------------------
% 0.93/0.41 % (2513695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2513695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (2513695)CaDiCaL version: 2.1.3
% 0.93/0.41 % (2513695)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.41 % (2513695)Time elapsed: 0.001 s
% 0.93/0.41 % (2513695)Peak memory usage: 11 MB
% 0.93/0.41 % (2513695)Instructions burned: 1 (million)
% 0.93/0.41 % (2513695)------------------------------
% 0.93/0.41 % (2513695)------------------------------
% 0.93/0.41 % (2513697)Instruction limit reached!
% 0.93/0.41 % (2513697)------------------------------
% 0.93/0.41 % (2513697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2513697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (2513697)CaDiCaL version: 2.1.3
% 0.93/0.41 % (2513697)Termination reason: Instruction limit
% 0.93/0.41 % (2513697)Termination phase: Saturation
% 0.93/0.41 % (2513697)Time elapsed: 0.007 s
% 0.93/0.41 % (2513697)Peak memory usage: 12 MB
% 0.93/0.41 % (2513697)Instructions burned: 27 (million)
% 0.93/0.41 % (2513694)Instruction limit reached!
% 0.93/0.41 % (2513694)------------------------------
% 0.93/0.41 % (2513694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2513694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (2513694)CaDiCaL version: 2.1.3
% 0.93/0.41 % (2513694)Termination reason: Instruction limit
% 0.93/0.41 % (2513694)Termination phase: Saturation
% 0.93/0.41 % (2513694)Time elapsed: 0.008 s
% 0.93/0.41 % (2513694)Peak memory usage: 12 MB
% 0.93/0.41 % (2513694)Instructions burned: 15 (million)
% 0.93/0.41 % (2513691)Instruction limit reached!
% 0.93/0.41 % (2513691)------------------------------
% 0.93/0.41 % (2513691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2513679)Instruction limit reached!
% 0.93/0.41 % (2513679)------------------------------
% 0.93/0.41 % (2513679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (2513691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (2513679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (2513691)CaDiCaL version: 2.1.3
% 0.93/0.43 % (2513691)Termination reason: Instruction limit
% 0.93/0.43 % (2513691)Termination phase: Saturation
% 0.93/0.43 % (2513691)Time elapsed: 0.010 s
% 0.93/0.43 % (2513679)CaDiCaL version: 2.1.3
% 0.93/0.43 % (2513691)Peak memory usage: 12 MB
% 0.93/0.43 % (2513679)Termination reason: Instruction limit
% 0.93/0.43 % (2513679)Termination phase: Saturation
% 0.93/0.43 % (2513679)Time elapsed: 0.042 s
% 0.93/0.43 % (2513691)Instructions burned: 18 (million)
% 0.93/0.43 % (2513679)Peak memory usage: 12 MB
% 0.93/0.43 % (2513679)Instructions burned: 89 (million)
% 0.93/0.43 % (2513705)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.93/0.43 % (2513705)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.93/0.43 % (2513705)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=292124622:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.93/0.43 % (2513705)Instruction limit reached!
% 0.93/0.43 % (2513705)------------------------------
% 0.93/0.43 % (2513705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (2513705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (2513705)CaDiCaL version: 2.1.3
% 0.93/0.43 % (2513705)Termination reason: Instruction limit
% 0.93/0.43 % (2513705)Termination phase: Saturation
% 0.93/0.43 % (2513705)Time elapsed: 0.005 s
% 0.93/0.43 % (2513705)Peak memory usage: 12 MB
% 0.93/0.43 % (2513705)Instructions burned: 16 (million)
% 0.93/0.43 % (2513703)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=99449598:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.93/0.43 % (2513704)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2047397871:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.93/0.43 % (2513706)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.93/0.43 % (2513706)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=2433402568:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.93/0.43 % (2513707)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=579564816:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.93/0.43 % (2513708)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1105106022:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.93/0.43 % (2513710)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2699428070:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.93/0.43 % (2513706)Instruction limit reached!
% 0.93/0.43 % (2513706)------------------------------
% 0.93/0.43 % (2513706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (2513706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (2513706)CaDiCaL version: 2.1.3
% 0.93/0.43 % (2513706)Termination reason: Instruction limit
% 0.93/0.43 % (2513706)Termination phase: Saturation
% 0.93/0.43 % (2513706)Time elapsed: 0.005 s
% 0.93/0.43 % (2513706)Peak memory usage: 12 MB
% 0.93/0.43 % (2513706)Instructions burned: 8 (million)
% 0.93/0.43 % (2513708)Instruction limit reached!
% 0.93/0.43 % (2513708)------------------------------
% 0.93/0.43 % (2513708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (2513708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (2513708)CaDiCaL version: 2.1.3
% 0.93/0.43 % (2513708)Termination reason: Instruction limit
% 0.93/0.43 % (2513708)Termination phase: Saturation
% 0.93/0.43 % (2513708)Time elapsed: 0.004 s
% 1.56/0.47 % (2513708)Peak memory usage: 12 MB
% 1.56/0.47 % (2513708)Instructions burned: 7 (million)
% 1.56/0.47 % (2513703)Instruction limit reached!
% 1.56/0.47 % (2513703)------------------------------
% 1.56/0.47 % (2513703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (2513703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (2513703)CaDiCaL version: 2.1.3
% 1.56/0.47 % (2513703)Termination reason: Instruction limit
% 1.56/0.47 % (2513703)Termination phase: Saturation
% 1.56/0.47 % (2513703)Time elapsed: 0.011 s
% 1.56/0.47 % (2513703)Peak memory usage: 12 MB
% 1.56/0.47 % (2513703)Instructions burned: 25 (million)
% 1.56/0.47 % (2513710)Instruction limit reached!
% 1.56/0.47 % (2513710)------------------------------
% 1.56/0.47 % (2513710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (2513710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (2513710)CaDiCaL version: 2.1.3
% 1.56/0.47 % (2513710)Termination reason: Instruction limit
% 1.56/0.47 % (2513710)Termination phase: Saturation
% 1.56/0.47 % (2513710)Time elapsed: 0.005 s
% 1.56/0.47 % (2513710)Peak memory usage: 12 MB
% 1.56/0.47 % (2513710)Instructions burned: 25 (million)
% 1.56/0.47 % (2513707)Instruction limit reached!
% 1.56/0.47 % (2513707)------------------------------
% 1.56/0.47 % (2513707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (2513707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (2513707)CaDiCaL version: 2.1.3
% 1.56/0.47 % (2513707)Termination reason: Instruction limit
% 1.56/0.47 % (2513707)Termination phase: Saturation
% 1.56/0.47 % (2513707)Time elapsed: 0.016 s
% 1.56/0.47 % (2513707)Peak memory usage: 12 MB
% 1.56/0.47 % (2513707)Instructions burned: 32 (million)
% 1.56/0.47 % (2513720)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1599861350:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.56/0.47 % (2513720)Refutation not found, incomplete strategy
% 1.56/0.47 % (2513720)------------------------------
% 1.56/0.47 % (2513720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (2513720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (2513720)CaDiCaL version: 2.1.3
% 1.56/0.47 % (2513720)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.47 % (2513720)Time elapsed: 0.0000 s
% 1.56/0.47 % (2513720)Peak memory usage: 11 MB
% 1.56/0.47 % (2513720)Instructions burned: 1 (million)
% 1.56/0.47 % (2513720)------------------------------
% 1.56/0.47 % (2513720)------------------------------
% 1.56/0.47 % (2513717)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1545902080:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.56/0.47 % (2513718)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1190262742:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.56/0.47 % (2513719)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2867416552:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.56/0.47 % (2513723)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.56/0.47 % (2513704)Instruction limit reached!
% 1.56/0.47 % (2513704)------------------------------
% 1.56/0.47 % (2513704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (2513704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (2513704)CaDiCaL version: 2.1.3
% 1.56/0.47 % (2513704)Termination reason: Instruction limit
% 1.56/0.47 % (2513704)Termination phase: Saturation
% 1.56/0.47 % (2513704)Time elapsed: 0.034 s
% 1.56/0.47 % (2513704)Peak memory usage: 12 MB
% 1.56/0.47 % (2513704)Instructions burned: 62 (million)
% 1.56/0.47 % (2513723)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2758326718:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.56/0.47 % (2513723)Instruction limit reached!
% 1.56/0.47 % (2513723)------------------------------
% 1.56/0.47 % (2513723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (2513723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (2513723)CaDiCaL version: 2.1.3
% 1.56/0.53 % (2513723)Termination reason: Instruction limit
% 1.56/0.53 % (2513723)Termination phase: Saturation
% 1.56/0.53 % (2513723)Time elapsed: 0.002 s
% 1.56/0.53 % (2513723)Peak memory usage: 12 MB
% 1.56/0.53 % (2513723)Instructions burned: 9 (million)
% 1.56/0.53 % (2513721)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3746041628:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.56/0.53 % (2513717)Instruction limit reached!
% 1.56/0.53 % (2513717)------------------------------
% 1.56/0.53 % (2513717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (2513717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (2513717)CaDiCaL version: 2.1.3
% 1.56/0.53 % (2513717)Termination reason: Instruction limit
% 1.56/0.53 % (2513717)Termination phase: Saturation
% 1.56/0.53 % (2513717)Time elapsed: 0.013 s
% 1.56/0.53 % (2513717)Peak memory usage: 12 MB
% 1.56/0.53 % (2513717)Instructions burned: 21 (million)
% 1.56/0.53 % (2513729)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=3522195341:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.56/0.53 % (2513729)Refutation not found, incomplete strategy
% 1.56/0.53 % (2513729)------------------------------
% 1.56/0.53 % (2513729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (2513729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (2513729)CaDiCaL version: 2.1.3
% 1.56/0.53 % (2513729)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.53 % (2513729)Time elapsed: 0.0000 s
% 1.56/0.53 % (2513729)Peak memory usage: 12 MB
% 1.56/0.53 % (2513729)Instructions burned: 1 (million)
% 1.56/0.53 % (2513729)------------------------------
% 1.56/0.53 % (2513729)------------------------------
% 1.56/0.53 % (2513727)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1269340687:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.56/0.53 % (2513727)Refutation not found, incomplete strategy
% 1.56/0.53 % (2513727)------------------------------
% 1.56/0.53 % (2513727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (2513727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (2513727)CaDiCaL version: 2.1.3
% 1.56/0.53 % (2513727)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.53 % (2513727)Time elapsed: 0.001 s
% 1.56/0.53 % (2513727)Peak memory usage: 11 MB
% 1.56/0.53 % (2513727)Instructions burned: 1 (million)
% 1.56/0.53 % (2513727)------------------------------
% 1.56/0.53 % (2513727)------------------------------
% 1.56/0.53 % (2513731)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.56/0.53 % (2513731)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3758341018:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.56/0.53 % (2513733)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1864002026:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.56/0.53 % (2513731)Refutation not found, incomplete strategy
% 1.56/0.53 % (2513731)------------------------------
% 1.56/0.53 % (2513731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (2513731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (2513731)CaDiCaL version: 2.1.3
% 1.56/0.53 % (2513731)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.53 % (2513731)Time elapsed: 0.001 s
% 1.56/0.53 % (2513731)Peak memory usage: 11 MB
% 1.56/0.53 % (2513731)Instructions burned: 2 (million)
% 1.56/0.53 % (2513731)------------------------------
% 1.56/0.53 % (2513731)------------------------------
% 1.56/0.53 % (2513721)Instruction limit reached!
% 1.56/0.53 % (2513721)------------------------------
% 1.56/0.53 % (2513721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (2513721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (2513721)CaDiCaL version: 2.1.3
% 1.56/0.53 % (2513721)Termination reason: Instruction limit
% 1.56/0.53 % (2513721)Termination phase: Saturation
% 1.56/0.53 % (2513721)Time elapsed: 0.023 s
% 2.28/0.57 % (2513721)Peak memory usage: 12 MB
% 2.28/0.57 % (2513721)Instructions burned: 46 (million)
% 2.28/0.57 % (2513733)Instruction limit reached!
% 2.28/0.57 % (2513733)------------------------------
% 2.28/0.57 % (2513733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.57 % (2513733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.57 % (2513733)CaDiCaL version: 2.1.3
% 2.28/0.57 % (2513733)Termination reason: Instruction limit
% 2.28/0.57 % (2513733)Termination phase: Saturation
% 2.28/0.57 % (2513733)Time elapsed: 0.005 s
% 2.28/0.57 % (2513733)Peak memory usage: 12 MB
% 2.28/0.57 % (2513733)Instructions burned: 22 (million)
% 2.28/0.57 % (2513735)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4115180733:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 2.28/0.57 % (2513735)Refutation not found, incomplete strategy
% 2.28/0.57 % (2513735)------------------------------
% 2.28/0.57 % (2513735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.57 % (2513735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.57 % (2513735)CaDiCaL version: 2.1.3
% 2.28/0.57 % (2513735)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.57 % (2513735)Time elapsed: 0.002 s
% 2.28/0.57 % (2513735)Peak memory usage: 12 MB
% 2.28/0.57 % (2513735)Instructions burned: 3 (million)
% 2.28/0.57 % (2513740)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=3723940422: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)
% 2.28/0.57 % (2513735)------------------------------
% 2.28/0.57 % (2513735)------------------------------
% 2.28/0.57 % (2513739)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=1845342541: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)
% 2.28/0.57 % (2513738)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=718407319:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.28/0.57 % (2513719)Instruction limit reached!
% 2.28/0.57 % (2513719)------------------------------
% 2.28/0.57 % (2513719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.57 % (2513719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.57 % (2513719)CaDiCaL version: 2.1.3
% 2.28/0.57 % (2513719)Termination reason: Instruction limit
% 2.28/0.57 % (2513719)Termination phase: Saturation
% 2.28/0.57 % (2513719)Time elapsed: 0.054 s
% 2.28/0.57 % (2513719)Peak memory usage: 12 MB
% 2.28/0.57 % (2513719)Instructions burned: 143 (million)
% 2.28/0.57 % (2513740)Instruction limit reached!
% 2.28/0.57 % (2513740)------------------------------
% 2.28/0.57 % (2513740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.57 % (2513740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.57 % (2513740)CaDiCaL version: 2.1.3
% 2.28/0.57 % (2513740)Termination reason: Instruction limit
% 2.28/0.57 % (2513740)Termination phase: Saturation
% 2.28/0.57 % (2513740)Time elapsed: 0.014 s
% 2.28/0.57 % (2513740)Peak memory usage: 12 MB
% 2.28/0.57 % (2513740)Instructions burned: 48 (million)
% 2.28/0.57 % (2513743)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3297906823:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.28/0.57 % (2513743)Refutation not found, incomplete strategy
% 2.28/0.57 % (2513743)------------------------------
% 2.28/0.57 % (2513743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.57 % (2513743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.57 % (2513743)CaDiCaL version: 2.1.3
% 2.28/0.57 % (2513743)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.57 % (2513743)Time elapsed: 0.001 s
% 2.28/0.57 % (2513743)Peak memory usage: 12 MB
% 2.28/0.57 % (2513743)Instructions burned: 2 (million)
% 2.28/0.57 % (2513743)------------------------------
% 2.28/0.57 % (2513743)------------------------------
% 2.28/0.57 % (2513747)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.28/0.61 % (2513747)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4132151101:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.28/0.61 % (2513746)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1970461964: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)
% 2.28/0.61 % (2513660)Instruction limit reached!
% 2.28/0.61 % (2513660)------------------------------
% 2.28/0.61 % (2513660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.61 % (2513660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.61 % (2513660)CaDiCaL version: 2.1.3
% 2.28/0.61 % (2513660)Termination reason: Instruction limit
% 2.28/0.61 % (2513660)Termination phase: Saturation
% 2.28/0.61 % (2513660)Time elapsed: 0.209 s
% 2.28/0.61 % (2513660)Peak memory usage: 14 MB
% 2.28/0.61 % (2513660)Instructions burned: 635 (million)
% 2.28/0.61 % (2513746)Instruction limit reached!
% 2.28/0.61 % (2513746)------------------------------
% 2.28/0.61 % (2513746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.61 % (2513746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.61 % (2513746)CaDiCaL version: 2.1.3
% 2.28/0.61 % (2513746)Termination reason: Instruction limit
% 2.28/0.61 % (2513746)Termination phase: Saturation
% 2.28/0.61 % (2513746)Time elapsed: 0.012 s
% 2.28/0.61 % (2513746)Peak memory usage: 12 MB
% 2.28/0.61 % (2513746)Instructions burned: 22 (million)
% 2.28/0.61 % (2513749)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4245262765:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.28/0.61 % (2513752)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=415395834:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.28/0.61 % (2513749)Instruction limit reached!
% 2.28/0.61 % (2513749)------------------------------
% 2.28/0.61 % (2513749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.61 % (2513749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.61 % (2513749)CaDiCaL version: 2.1.3
% 2.28/0.61 % (2513749)Termination reason: Instruction limit
% 2.28/0.61 % (2513749)Termination phase: Saturation
% 2.28/0.61 % (2513749)Time elapsed: 0.008 s
% 2.28/0.61 % (2513749)Peak memory usage: 12 MB
% 2.28/0.61 % (2513749)Instructions burned: 13 (million)
% 2.28/0.61 % (2513753)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3554011012:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.28/0.61 % (2513753)Refutation not found, incomplete strategy
% 2.28/0.61 % (2513753)------------------------------
% 2.28/0.61 % (2513753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.61 % (2513753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.61 % (2513753)CaDiCaL version: 2.1.3
% 2.28/0.61 % (2513753)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.61 % (2513753)Time elapsed: 0.002 s
% 2.28/0.61 % (2513753)Peak memory usage: 12 MB
% 2.28/0.61 % (2513753)Instructions burned: 2 (million)
% 2.28/0.61 % (2513753)------------------------------
% 2.28/0.61 % (2513753)------------------------------
% 2.28/0.61 % (2513747)Instruction limit reached!
% 2.28/0.61 % (2513747)------------------------------
% 2.28/0.61 % (2513747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.61 % (2513747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.61 % (2513747)CaDiCaL version: 2.1.3
% 2.28/0.61 % (2513747)Termination reason: Instruction limit
% 2.28/0.61 % (2513747)Termination phase: Saturation
% 2.28/0.61 % (2513747)Time elapsed: 0.040 s
% 2.28/0.61 % (2513747)Peak memory usage: 12 MB
% 2.28/0.61 % (2513747)Instructions burned: 203 (million)
% 2.28/0.61 % (2513756)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2117666901:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.28/0.61 % (2513759)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=1285061159:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.28/0.61 % (2513752)Instruction limit reached!
% 2.28/0.61 % (2513752)------------------------------
% 2.68/0.66 % (2513752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.66 % (2513752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.66 % (2513752)CaDiCaL version: 2.1.3
% 2.68/0.66 % (2513752)Termination reason: Instruction limit
% 2.68/0.66 % (2513752)Termination phase: Saturation
% 2.68/0.66 % (2513752)Time elapsed: 0.030 s
% 2.68/0.66 % (2513752)Peak memory usage: 13 MB
% 2.68/0.66 % (2513752)Instructions burned: 68 (million)
% 2.68/0.66 % (2513758)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3549874109:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.68/0.66 % (2513756)Instruction limit reached!
% 2.68/0.66 % (2513756)------------------------------
% 2.68/0.66 % (2513756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.66 % (2513756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.66 % (2513756)CaDiCaL version: 2.1.3
% 2.68/0.66 % (2513756)Termination reason: Instruction limit
% 2.68/0.66 % (2513756)Termination phase: Saturation
% 2.68/0.66 % (2513756)Time elapsed: 0.016 s
% 2.68/0.66 % (2513756)Peak memory usage: 12 MB
% 2.68/0.66 % (2513756)Instructions burned: 31 (million)
% 2.68/0.66 % (2513759)Instruction limit reached!
% 2.68/0.66 % (2513759)------------------------------
% 2.68/0.66 % (2513759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.66 % (2513759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.66 % (2513759)CaDiCaL version: 2.1.3
% 2.68/0.66 % (2513759)Termination reason: Instruction limit
% 2.68/0.66 % (2513759)Termination phase: Saturation
% 2.68/0.66 % (2513759)Time elapsed: 0.010 s
% 2.68/0.66 % (2513759)Peak memory usage: 12 MB
% 2.68/0.66 % (2513759)Instructions burned: 38 (million)
% 2.68/0.66 % (2513765)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=947661788:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.68/0.66 % (2513765)Refutation not found, incomplete strategy
% 2.68/0.66 % (2513765)------------------------------
% 2.68/0.66 % (2513765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.66 % (2513765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.66 % (2513765)CaDiCaL version: 2.1.3
% 2.68/0.66 % (2513765)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.66 % (2513765)Time elapsed: 0.0000 s
% 2.68/0.66 % (2513765)Peak memory usage: 12 MB
% 2.68/0.66 % (2513765)Instructions burned: 1 (million)
% 2.68/0.66 % (2513762)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=204678270:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.68/0.66 % (2513765)------------------------------
% 2.68/0.66 % (2513765)------------------------------
% 2.68/0.66 % (2513762)Refutation not found, incomplete strategy
% 2.68/0.66 % (2513762)------------------------------
% 2.68/0.66 % (2513762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.66 % (2513762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.66 % (2513762)CaDiCaL version: 2.1.3
% 2.68/0.66 % (2513762)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.66 % (2513762)Time elapsed: 0.002 s
% 2.68/0.66 % (2513762)Peak memory usage: 12 MB
% 2.68/0.66 % (2513762)Instructions burned: 2 (million)
% 2.68/0.66 % (2513762)------------------------------
% 2.68/0.66 % (2513762)------------------------------
% 2.68/0.66 % (2513764)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.68/0.66 % (2513764)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3345663846:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.68/0.66 % (2513768)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2141269953:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.68/0.66 % (2513769)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=620911247:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.68/0.66 % (2513769)Refutation not found, incomplete strategy
% 2.68/0.66 % (2513769)------------------------------
% 2.68/0.66 % (2513769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.66 % (2513769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.71 % (2513769)CaDiCaL version: 2.1.3
% 3.16/0.71 % (2513769)Termination reason: Refutation not found, incomplete strategy
% 3.16/0.71 % (2513769)Time elapsed: 0.001 s
% 3.16/0.71 % (2513769)Peak memory usage: 12 MB
% 3.16/0.71 % (2513769)Instructions burned: 1 (million)
% 3.16/0.71 % (2513769)------------------------------
% 3.16/0.71 % (2513769)------------------------------
% 3.16/0.71 % (2513768)Instruction limit reached!
% 3.16/0.71 % (2513768)------------------------------
% 3.16/0.71 % (2513768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.71 % (2513768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.71 % (2513768)CaDiCaL version: 2.1.3
% 3.16/0.71 % (2513768)Termination reason: Instruction limit
% 3.16/0.71 % (2513768)Termination phase: Saturation
% 3.16/0.71 % (2513768)Time elapsed: 0.021 s
% 3.16/0.71 % (2513768)Peak memory usage: 12 MB
% 3.16/0.71 % (2513768)Instructions burned: 97 (million)
% 3.16/0.71 % (2513758)Instruction limit reached!
% 3.16/0.71 % (2513758)------------------------------
% 3.16/0.71 % (2513758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.71 % (2513758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.71 % (2513758)CaDiCaL version: 2.1.3
% 3.16/0.71 % (2513758)Termination reason: Instruction limit
% 3.16/0.71 % (2513758)Termination phase: Saturation
% 3.16/0.71 % (2513758)Time elapsed: 0.058 s
% 3.16/0.71 % (2513758)Peak memory usage: 13 MB
% 3.16/0.71 % (2513758)Instructions burned: 139 (million)
% 3.16/0.71 % (2513774)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=4279856549:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.16/0.71 % (2513773)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1169025754:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.16/0.71 % (2513774)Refutation not found, incomplete strategy
% 3.16/0.71 % (2513774)------------------------------
% 3.16/0.71 % (2513774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.71 % (2513774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.71 % (2513774)CaDiCaL version: 2.1.3
% 3.16/0.71 % (2513774)Termination reason: Refutation not found, incomplete strategy
% 3.16/0.71 % (2513774)Time elapsed: 0.0000 s
% 3.16/0.71 % (2513774)Peak memory usage: 12 MB
% 3.16/0.71 % (2513774)Instructions burned: 1 (million)
% 3.16/0.71 % (2513774)------------------------------
% 3.16/0.71 % (2513774)------------------------------
% 3.16/0.71 % (2513773)Refutation not found, incomplete strategy
% 3.16/0.71 % (2513773)------------------------------
% 3.16/0.71 % (2513773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.71 % (2513773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.71 % (2513773)CaDiCaL version: 2.1.3
% 3.16/0.71 % (2513773)Termination reason: Refutation not found, incomplete strategy
% 3.16/0.71 % (2513773)Time elapsed: 0.001 s
% 3.16/0.71 % (2513773)Peak memory usage: 11 MB
% 3.16/0.71 % (2513773)Instructions burned: 1 (million)
% 3.16/0.71 % (2513773)------------------------------
% 3.16/0.71 % (2513773)------------------------------
% 3.16/0.71 % (2513778)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2871878279:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 3.16/0.71 % (2513775)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1165710016:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.16/0.71 % (2513775)Refutation not found, incomplete strategy
% 3.16/0.71 % (2513775)------------------------------
% 3.16/0.71 % (2513775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.71 % (2513775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.71 % (2513775)CaDiCaL version: 2.1.3
% 3.16/0.71 % (2513775)Termination reason: Refutation not found, incomplete strategy
% 3.16/0.71 % (2513775)Time elapsed: 0.001 s
% 3.16/0.71 % (2513775)Peak memory usage: 11 MB
% 3.16/0.71 % (2513775)Instructions burned: 2 (million)
% 3.16/0.71 % (2513775)------------------------------
% 3.16/0.71 % (2513775)------------------------------
% 3.16/0.71 % (2513779)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3414087771:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.16/0.71 % (2513779)Refutation not found, incomplete strategy
% 3.16/0.75 % (2513779)------------------------------
% 3.16/0.75 % (2513779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.75 % (2513779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.75 % (2513779)CaDiCaL version: 2.1.3
% 3.16/0.75 % (2513779)Termination reason: Refutation not found, incomplete strategy
% 3.16/0.75 % (2513779)Time elapsed: 0.001 s
% 3.16/0.75 % (2513779)Peak memory usage: 12 MB
% 3.16/0.75 % (2513779)Instructions burned: 2 (million)
% 3.16/0.75 % (2513778)Instruction limit reached!
% 3.16/0.75 % (2513778)------------------------------
% 3.16/0.75 % (2513778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.75 % (2513778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.75 % (2513778)CaDiCaL version: 2.1.3
% 3.16/0.75 % (2513778)Termination reason: Instruction limit
% 3.16/0.75 % (2513778)Termination phase: Saturation
% 3.16/0.75 % (2513778)Time elapsed: 0.012 s
% 3.16/0.75 % (2513778)Peak memory usage: 12 MB
% 3.16/0.75 % (2513778)Instructions burned: 47 (million)
% 3.16/0.75 % (2513779)------------------------------
% 3.16/0.75 % (2513779)------------------------------
% 3.16/0.75 % (2513738)Instruction limit reached!
% 3.16/0.75 % (2513738)------------------------------
% 3.16/0.75 % (2513738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.75 % (2513738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.75 % (2513738)CaDiCaL version: 2.1.3
% 3.16/0.75 % (2513738)Termination reason: Instruction limit
% 3.16/0.75 % (2513738)Termination phase: Saturation
% 3.16/0.75 % (2513738)Time elapsed: 0.161 s
% 3.16/0.75 % (2513738)Peak memory usage: 14 MB
% 3.16/0.75 % (2513738)Instructions burned: 316 (million)
% 3.16/0.75 % (2513782)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1131273100:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.16/0.75 % (2513784)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3191708963:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/95Mi)
% 3.16/0.75 % (2513785)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=406331924:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2996 on theBenchmark for (2996ds/65Mi)
% 3.16/0.75 % (2513786)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=525050231: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_2996 on theBenchmark for (2996ds/105Mi)
% 3.16/0.75 % (2513764)Instruction limit reached!
% 3.16/0.75 % (2513764)------------------------------
% 3.16/0.75 % (2513764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.75 % (2513764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.75 % (2513764)CaDiCaL version: 2.1.3
% 3.16/0.75 % (2513764)Termination reason: Instruction limit
% 3.16/0.75 % (2513764)Termination phase: Saturation
% 3.16/0.75 % (2513764)Time elapsed: 0.081 s
% 3.16/0.75 % (2513764)Peak memory usage: 12 MB
% 3.16/0.75 % (2513764)Instructions burned: 180 (million)
% 3.16/0.75 % (2513791)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=27988365: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)
% 3.16/0.75 % (2513791)Refutation not found, incomplete strategy
% 3.16/0.75 % (2513791)------------------------------
% 3.16/0.75 % (2513791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.75 % (2513791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.75 % (2513791)CaDiCaL version: 2.1.3
% 3.16/0.75 % (2513791)Termination reason: Refutation not found, incomplete strategy
% 3.16/0.75 % (2513791)Time elapsed: 0.001 s
% 3.16/0.75 % (2513791)Peak memory usage: 12 MB
% 3.16/0.75 % (2513791)Instructions burned: 1 (million)
% 3.16/0.75 % (2513791)------------------------------
% 3.16/0.75 % (2513791)------------------------------
% 3.16/0.75 % (2513785)Instruction limit reached!
% 3.16/0.75 % (2513785)------------------------------
% 3.16/0.75 % (2513785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.83 % (2513785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.83 % (2513785)CaDiCaL version: 2.1.3
% 3.63/0.83 % (2513785)Termination reason: Instruction limit
% 3.63/0.83 % (2513785)Termination phase: Saturation
% 3.63/0.83 % (2513785)Time elapsed: 0.032 s
% 3.63/0.83 % (2513785)Peak memory usage: 13 MB
% 3.63/0.83 % (2513785)Instructions burned: 66 (million)
% 3.63/0.83 % (2513784)Instruction limit reached!
% 3.63/0.83 % (2513784)------------------------------
% 3.63/0.83 % (2513784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.83 % (2513784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.83 % (2513784)CaDiCaL version: 2.1.3
% 3.63/0.83 % (2513784)Termination reason: Instruction limit
% 3.63/0.83 % (2513784)Termination phase: Saturation
% 3.63/0.83 % (2513784)Time elapsed: 0.040 s
% 3.63/0.83 % (2513784)Peak memory usage: 12 MB
% 3.63/0.83 % (2513784)Instructions burned: 96 (million)
% 3.63/0.83 % (2513793)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=913863641:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.63/0.83 % (2513793)Refutation not found, incomplete strategy
% 3.63/0.83 % (2513793)------------------------------
% 3.63/0.83 % (2513793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.83 % (2513793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.83 % (2513793)CaDiCaL version: 2.1.3
% 3.63/0.83 % (2513793)Termination reason: Refutation not found, incomplete strategy
% 3.63/0.83 % (2513793)Time elapsed: 0.001 s
% 3.63/0.83 % (2513793)Peak memory usage: 11 MB
% 3.63/0.83 % (2513793)Instructions burned: 1 (million)
% 3.63/0.83 % (2513793)------------------------------
% 3.63/0.83 % (2513793)------------------------------
% 3.63/0.83 % (2513794)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=316795174:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.63/0.83 % (2513786)Instruction limit reached!
% 3.63/0.83 % (2513786)------------------------------
% 3.63/0.83 % (2513786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.83 % (2513786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.83 % (2513786)CaDiCaL version: 2.1.3
% 3.63/0.83 % (2513786)Termination reason: Instruction limit
% 3.63/0.83 % (2513786)Termination phase: Saturation
% 3.63/0.83 % (2513786)Time elapsed: 0.054 s
% 3.63/0.83 % (2513786)Peak memory usage: 13 MB
% 3.63/0.83 % (2513786)Instructions burned: 105 (million)
% 3.63/0.83 % (2513795)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=2386074700:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.63/0.83 % (2513797)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1087805006:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.63/0.83 % (2513782)Instruction limit reached!
% 3.63/0.83 % (2513782)------------------------------
% 3.63/0.83 % (2513782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.83 % (2513782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.83 % (2513782)CaDiCaL version: 2.1.3
% 3.63/0.83 % (2513782)Termination reason: Instruction limit
% 3.63/0.83 % (2513782)Termination phase: Saturation
% 3.63/0.83 % (2513782)Time elapsed: 0.078 s
% 3.63/0.83 % (2513782)Peak memory usage: 13 MB
% 3.63/0.83 % (2513782)Instructions burned: 455 (million)
% 3.63/0.83 % (2513799)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1834300571:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.63/0.83 % (2513799)Refutation not found, incomplete strategy
% 3.63/0.83 % (2513799)------------------------------
% 3.63/0.83 % (2513799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.83 % (2513799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.83 % (2513799)CaDiCaL version: 2.1.3
% 3.63/0.83 % (2513799)Termination reason: Refutation not found, incomplete strategy
% 3.63/0.83 % (2513799)Time elapsed: 0.001 s
% 3.63/0.83 % (2513799)Peak memory usage: 11 MB
% 3.63/0.83 % (2513799)Instructions burned: 1 (million)
% 3.63/0.83 % (2513799)------------------------------
% 3.63/0.83 % (2513799)------------------------------
% 3.63/0.83 % (2513795)Instruction limit reached!
% 4.18/0.90 % (2513795)------------------------------
% 4.18/0.90 % (2513795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.90 % (2513795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.90 % (2513795)CaDiCaL version: 2.1.3
% 4.18/0.90 % (2513795)Termination reason: Instruction limit
% 4.18/0.90 % (2513795)Termination phase: Saturation
% 4.18/0.90 % (2513795)Time elapsed: 0.019 s
% 4.18/0.90 % (2513795)Peak memory usage: 12 MB
% 4.18/0.90 % (2513795)Instructions burned: 35 (million)
% 4.18/0.90 % (2513802)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2903191337:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.18/0.90 % (2513739)Instruction limit reached!
% 4.18/0.90 % (2513739)------------------------------
% 4.18/0.90 % (2513739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.90 % (2513739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.90 % (2513739)CaDiCaL version: 2.1.3
% 4.18/0.90 % (2513739)Termination reason: Instruction limit
% 4.18/0.90 % (2513739)Termination phase: Saturation
% 4.18/0.90 % (2513739)Time elapsed: 0.262 s
% 4.18/0.90 % (2513739)Peak memory usage: 14 MB
% 4.18/0.90 % (2513739)Instructions burned: 854 (million)
% 4.18/0.90 % (2513802)Instruction limit reached!
% 4.18/0.90 % (2513802)------------------------------
% 4.18/0.90 % (2513802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.90 % (2513802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.90 % (2513802)CaDiCaL version: 2.1.3
% 4.18/0.90 % (2513802)Termination reason: Instruction limit
% 4.18/0.90 % (2513802)Termination phase: Saturation
% 4.18/0.90 % (2513802)Time elapsed: 0.006 s
% 4.18/0.90 % (2513802)Peak memory usage: 12 MB
% 4.18/0.90 % (2513802)Instructions burned: 25 (million)
% 4.18/0.90 % (2513804)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=1560965323:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 4.18/0.90 % (2513805)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1423331277:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/28Mi)
% 4.18/0.90 % (2513805)Refutation not found, incomplete strategy
% 4.18/0.90 % (2513805)------------------------------
% 4.18/0.90 % (2513805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.90 % (2513805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.90 % (2513805)CaDiCaL version: 2.1.3
% 4.18/0.90 % (2513805)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.90 % (2513805)Time elapsed: 0.001 s
% 4.18/0.90 % (2513805)Peak memory usage: 12 MB
% 4.18/0.90 % (2513805)Instructions burned: 1 (million)
% 4.18/0.90 % (2513805)------------------------------
% 4.18/0.90 % (2513805)------------------------------
% 4.18/0.90 % (2513807)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.18/0.90 % (2513809)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=3943902643:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2995 on theBenchmark for (2995ds/340Mi)
% 4.18/0.90 % (2513797)Instruction limit reached!
% 4.18/0.90 % (2513797)------------------------------
% 4.18/0.90 % (2513797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.90 % (2513797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.90 % (2513797)CaDiCaL version: 2.1.3
% 4.18/0.90 % (2513797)Termination reason: Instruction limit
% 4.18/0.90 % (2513797)Termination phase: Saturation
% 4.18/0.90 % (2513797)Time elapsed: 0.037 s
% 4.18/0.90 % (2513797)Peak memory usage: 12 MB
% 4.18/0.90 % (2513797)Instructions burned: 93 (million)
% 4.18/0.90 % (2513807)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3728497359:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2995 on theBenchmark for (2995ds/137Mi)
% 4.18/0.90 % (2513814)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.18/0.90 % (2513812)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=500122847:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.18/0.94 % (2513812)Refutation not found, incomplete strategy
% 4.18/0.94 % (2513812)------------------------------
% 4.18/0.94 % (2513812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (2513812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (2513812)CaDiCaL version: 2.1.3
% 4.18/0.94 % (2513812)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.94 % (2513812)Time elapsed: 0.001 s
% 4.18/0.94 % (2513812)Peak memory usage: 11 MB
% 4.18/0.94 % (2513812)Instructions burned: 1 (million)
% 4.18/0.94 % (2513812)------------------------------
% 4.18/0.94 % (2513812)------------------------------
% 4.18/0.94 % (2513814)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2933425135:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 4.18/0.94 % (2513817)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3407180003:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 4.18/0.94 % (2513807)Instruction limit reached!
% 4.18/0.94 % (2513807)------------------------------
% 4.18/0.94 % (2513807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (2513807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (2513807)CaDiCaL version: 2.1.3
% 4.18/0.94 % (2513807)Termination reason: Instruction limit
% 4.18/0.94 % (2513807)Termination phase: Saturation
% 4.18/0.94 % (2513807)Time elapsed: 0.057 s
% 4.18/0.94 % (2513807)Peak memory usage: 13 MB
% 4.18/0.94 % (2513807)Instructions burned: 139 (million)
% 4.18/0.94 % (2513820)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=347872817:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 4.18/0.94 % (2513809)Instruction limit reached!
% 4.18/0.94 % (2513809)------------------------------
% 4.18/0.94 % (2513809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (2513809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (2513809)CaDiCaL version: 2.1.3
% 4.18/0.94 % (2513809)Termination reason: Instruction limit
% 4.18/0.94 % (2513809)Termination phase: Saturation
% 4.18/0.94 % (2513809)Time elapsed: 0.079 s
% 4.18/0.94 % (2513809)Peak memory usage: 13 MB
% 4.18/0.94 % (2513809)Instructions burned: 344 (million)
% 4.18/0.94 % (2513820)Refutation not found, incomplete strategy
% 4.18/0.94 % (2513820)------------------------------
% 4.18/0.94 % (2513820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (2513820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (2513820)CaDiCaL version: 2.1.3
% 4.18/0.94 % (2513820)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.94 % (2513820)Time elapsed: 0.002 s
% 4.18/0.94 % (2513820)Peak memory usage: 12 MB
% 4.18/0.94 % (2513820)Instructions burned: 2 (million)
% 4.18/0.94 % (2513820)------------------------------
% 4.18/0.94 % (2513820)------------------------------
% 4.18/0.94 % (2513817)Instruction limit reached!
% 4.18/0.94 % (2513817)------------------------------
% 4.18/0.94 % (2513817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (2513817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (2513817)CaDiCaL version: 2.1.3
% 4.18/0.94 % (2513817)Termination reason: Instruction limit
% 4.18/0.94 % (2513817)Termination phase: Saturation
% 4.18/0.94 % (2513817)Time elapsed: 0.047 s
% 4.18/0.94 % (2513817)Peak memory usage: 12 MB
% 4.18/0.94 % (2513817)Instructions burned: 118 (million)
% 4.18/0.94 % (2513822)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1314463311:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 4.18/0.94 % (2513823)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=339084383: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_2994 on theBenchmark for (2994ds/9840Mi)
% 4.18/0.94 % (2513824)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2168102459:i=421:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/421Mi)
% 4.18/0.94 % (2513824)Refutation not found, incomplete strategy
% 4.18/0.94 % (2513824)------------------------------
% 4.18/0.97 % (2513824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.97 % (2513824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.97 % (2513824)CaDiCaL version: 2.1.3
% 4.18/0.97 % (2513824)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.97 % (2513824)Time elapsed: 0.001 s
% 4.18/0.97 % (2513824)Peak memory usage: 11 MB
% 4.18/0.97 % (2513824)Instructions burned: 1 (million)
% 4.18/0.97 % (2513824)------------------------------
% 4.18/0.97 % (2513824)------------------------------
% 4.18/0.97 % (2513828)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
% 4.18/0.97 % (2513828)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=2944087064:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 4.18/0.97 % (2513718)Instruction limit reached!
% 4.18/0.97 % (2513718)------------------------------
% 4.18/0.97 % (2513718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.97 % (2513718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.97 % (2513718)CaDiCaL version: 2.1.3
% 4.18/0.97 % (2513718)Termination reason: Instruction limit
% 4.18/0.97 % (2513718)Termination phase: Saturation
% 4.18/0.97 % (2513718)Time elapsed: 0.472 s
% 4.18/0.97 % (2513718)Peak memory usage: 13 MB
% 4.18/0.97 % (2513718)Instructions burned: 1242 (million)
% 4.18/0.97 % (2513804)Instruction limit reached!
% 4.18/0.97 % (2513804)------------------------------
% 4.18/0.97 % (2513804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.97 % (2513804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.97 % (2513804)CaDiCaL version: 2.1.3
% 4.18/0.97 % (2513804)Termination reason: Instruction limit
% 4.18/0.97 % (2513804)Termination phase: Saturation
% 4.18/0.97 % (2513804)Time elapsed: 0.148 s
% 4.18/0.97 % (2513804)Peak memory usage: 14 MB
% 4.18/0.97 % (2513804)Instructions burned: 339 (million)
% 4.18/0.97 % (2513822)Instruction limit reached!
% 4.18/0.97 % (2513822)------------------------------
% 4.18/0.97 % (2513822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.97 % (2513822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.97 % (2513822)CaDiCaL version: 2.1.3
% 4.18/0.97 % (2513822)Termination reason: Instruction limit
% 4.18/0.97 % (2513822)Termination phase: Saturation
% 4.18/0.97 % (2513822)Time elapsed: 0.063 s
% 4.18/0.97 % (2513822)Peak memory usage: 13 MB
% 4.18/0.97 % (2513822)Instructions burned: 274 (million)
% 4.18/0.97 % (2513830)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3004448306:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 4.18/0.97 % (2513831)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 4.18/0.97 % (2513831)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
% 4.18/0.97 % (2513831)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=4052804488:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 4.18/0.97 % (2513832)dis+10_2_sil=128000:si=on:random_seed=342185146:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2993 on theBenchmark for (2993ds/339Mi)
% 4.18/0.97 % (2513832)Refutation not found, incomplete strategy
% 4.18/0.97 % (2513832)------------------------------
% 4.18/0.97 % (2513832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.97 % (2513832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.97 % (2513832)CaDiCaL version: 2.1.3
% 4.18/0.97 % (2513832)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.97 % (2513832)Time elapsed: 0.0000 s
% 4.18/0.97 % (2513832)Peak memory usage: 11 MB
% 4.18/0.97 % (2513832)Instructions burned: 1 (million)
% 4.18/0.97 % (2513832)------------------------------
% 4.18/0.97 % (2513832)------------------------------
% 4.18/0.97 % (2513794)Instruction limit reached!
% 4.18/0.97 % (2513794)------------------------------
% 5.64/1.07 % (2513794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.07 % (2513794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.07 % (2513794)CaDiCaL version: 2.1.3
% 5.64/1.07 % (2513794)Termination reason: Instruction limit
% 5.64/1.07 % (2513794)Termination phase: Saturation
% 5.64/1.07 % (2513794)Time elapsed: 0.221 s
% 5.64/1.07 % (2513794)Peak memory usage: 13 MB
% 5.64/1.07 % (2513794)Instructions burned: 496 (million)
% 5.64/1.07 % (2513836)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1735867038:i=111:add=on:fgj=on:rtra=on:fdi=1024_2993 on theBenchmark for (2993ds/111Mi)
% 5.64/1.07 % (2513830)Instruction limit reached!
% 5.64/1.07 % (2513830)------------------------------
% 5.64/1.07 % (2513830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.07 % (2513830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.07 % (2513830)CaDiCaL version: 2.1.3
% 5.64/1.07 % (2513830)Termination reason: Instruction limit
% 5.64/1.07 % (2513830)Termination phase: Saturation
% 5.64/1.07 % (2513830)Time elapsed: 0.016 s
% 5.64/1.07 % (2513830)Peak memory usage: 12 MB
% 5.64/1.07 % (2513830)Instructions burned: 32 (million)
% 5.64/1.07 % (2513837)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=1718860388:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/122Mi)
% 5.64/1.07 % (2513837)Refutation not found, incomplete strategy
% 5.64/1.07 % (2513837)------------------------------
% 5.64/1.07 % (2513837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.07 % (2513837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.07 % (2513837)CaDiCaL version: 2.1.3
% 5.64/1.07 % (2513837)Termination reason: Refutation not found, incomplete strategy
% 5.64/1.07 % (2513837)Time elapsed: 0.001 s
% 5.64/1.07 % (2513837)Peak memory usage: 11 MB
% 5.64/1.07 % (2513837)Instructions burned: 1 (million)
% 5.64/1.07 % (2513837)------------------------------
% 5.64/1.07 % (2513837)------------------------------
% 5.64/1.07 % (2513839)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=1310026149:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/136Mi)
% 5.64/1.07 % (2513839)Refutation not found, incomplete strategy
% 5.64/1.07 % (2513839)------------------------------
% 5.64/1.07 % (2513839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.07 % (2513839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.07 % (2513839)CaDiCaL version: 2.1.3
% 5.64/1.07 % (2513839)Termination reason: Refutation not found, incomplete strategy
% 5.64/1.07 % (2513839)Time elapsed: 0.002 s
% 5.64/1.07 % (2513839)Peak memory usage: 12 MB
% 5.64/1.07 % (2513839)Instructions burned: 2 (million)
% 5.64/1.07 % (2513839)------------------------------
% 5.64/1.07 % (2513839)------------------------------
% 5.64/1.07 % (2513814)Instruction limit reached!
% 5.64/1.07 % (2513814)------------------------------
% 5.64/1.07 % (2513814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.07 % (2513814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.07 % (2513814)CaDiCaL version: 2.1.3
% 5.64/1.07 % (2513814)Termination reason: Instruction limit
% 5.64/1.07 % (2513814)Termination phase: Saturation
% 5.64/1.07 % (2513814)Time elapsed: 0.178 s
% 5.64/1.07 % (2513814)Peak memory usage: 13 MB
% 5.64/1.07 % (2513814)Instructions burned: 374 (million)
% 5.64/1.07 % (2513836)Instruction limit reached!
% 5.64/1.07 % (2513836)------------------------------
% 5.64/1.07 % (2513836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.64/1.07 % (2513836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.07 % (2513836)CaDiCaL version: 2.1.3
% 5.64/1.07 % (2513836)Termination reason: Instruction limit
% 5.64/1.07 % (2513836)Termination phase: Saturation
% 5.64/1.07 % (2513836)Time elapsed: 0.027 s
% 5.64/1.07 % (2513836)Peak memory usage: 12 MB
% 5.64/1.07 % (2513836)Instructions burned: 113 (million)
% 5.64/1.07 % (2513841)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2370148454:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/232Mi)
% 5.64/1.07 % (2513841)Refutation not found, incomplete strategy
% 6.24/1.15 % (2513841)------------------------------
% 6.24/1.15 % (2513841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.15 % (2513841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.15 % (2513841)CaDiCaL version: 2.1.3
% 6.24/1.15 % (2513841)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.15 % (2513841)Time elapsed: 0.001 s
% 6.24/1.15 % (2513841)Peak memory usage: 11 MB
% 6.24/1.15 % (2513841)Instructions burned: 1 (million)
% 6.24/1.15 % (2513845)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=154793568:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.24/1.15 % (2513841)------------------------------
% 6.24/1.15 % (2513841)------------------------------
% 6.24/1.15 % (2513844)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.24/1.15 % (2513845)Refutation not found, incomplete strategy
% 6.24/1.15 % (2513845)------------------------------
% 6.24/1.15 % (2513845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.15 % (2513845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.15 % (2513845)CaDiCaL version: 2.1.3
% 6.24/1.15 % (2513845)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.15 % (2513845)Time elapsed: 0.001 s
% 6.24/1.15 % (2513845)Peak memory usage: 12 MB
% 6.24/1.15 % (2513845)Instructions burned: 3 (million)
% 6.24/1.15 % (2513845)------------------------------
% 6.24/1.15 % (2513845)------------------------------
% 6.24/1.15 % (2513843)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=301504235:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.24/1.15 % (2513844)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=2341476872:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.24/1.15 % (2513843)Refutation not found, incomplete strategy
% 6.24/1.15 % (2513843)------------------------------
% 6.24/1.15 % (2513843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.15 % (2513843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.15 % (2513843)CaDiCaL version: 2.1.3
% 6.24/1.15 % (2513843)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.15 % (2513843)Time elapsed: 0.002 s
% 6.24/1.15 % (2513843)Peak memory usage: 12 MB
% 6.24/1.15 % (2513843)Instructions burned: 3 (million)
% 6.24/1.15 % (2513843)------------------------------
% 6.24/1.15 % (2513843)------------------------------
% 6.24/1.15 % (2513848)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=4207448507:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.24/1.15 % (2513849)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2251886875:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.24/1.15 % (2513849)Refutation not found, incomplete strategy
% 6.24/1.15 % (2513849)------------------------------
% 6.24/1.15 % (2513849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.15 % (2513849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.15 % (2513849)CaDiCaL version: 2.1.3
% 6.24/1.15 % (2513849)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.15 % (2513849)Time elapsed: 0.001 s
% 6.24/1.15 % (2513849)Peak memory usage: 11 MB
% 6.24/1.15 % (2513849)Instructions burned: 1 (million)
% 6.24/1.15 % (2513828)Instruction limit reached!
% 6.24/1.15 % (2513828)------------------------------
% 6.24/1.15 % (2513828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.15 % (2513828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.15 % (2513828)CaDiCaL version: 2.1.3
% 6.24/1.15 % (2513828)Termination reason: Instruction limit
% 6.24/1.15 % (2513828)Termination phase: Saturation
% 6.24/1.15 % (2513828)Time elapsed: 0.110 s
% 6.24/1.15 % (2513828)Peak memory usage: 12 MB
% 6.24/1.15 % (2513828)Instructions burned: 272 (million)
% 6.24/1.15 % (2513849)------------------------------
% 6.24/1.15 % (2513849)------------------------------
% 6.24/1.15 % (2513852)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=4219777415:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.61/1.21 % (2513852)Refutation not found, incomplete strategy
% 6.61/1.21 % (2513852)------------------------------
% 6.61/1.21 % (2513852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.21 % (2513852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.21 % (2513852)CaDiCaL version: 2.1.3
% 6.61/1.21 % (2513852)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.21 % (2513852)Time elapsed: 0.001 s
% 6.61/1.21 % (2513852)Peak memory usage: 11 MB
% 6.61/1.21 % (2513852)Instructions burned: 1 (million)
% 6.61/1.21 % (2513852)------------------------------
% 6.61/1.21 % (2513852)------------------------------
% 6.61/1.21 % (2513855)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3761059324:st=1.5:i=346:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/346Mi)
% 6.61/1.21 % (2513856)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=575850091:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/152Mi)
% 6.61/1.21 % (2513855)Refutation not found, incomplete strategy
% 6.61/1.21 % (2513855)------------------------------
% 6.61/1.21 % (2513855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.21 % (2513855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.21 % (2513855)CaDiCaL version: 2.1.3
% 6.61/1.21 % (2513855)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.21 % (2513855)Time elapsed: 0.001 s
% 6.61/1.21 % (2513855)Peak memory usage: 11 MB
% 6.61/1.21 % (2513855)Instructions burned: 2 (million)
% 6.61/1.21 % (2513855)------------------------------
% 6.61/1.21 % (2513855)------------------------------
% 6.61/1.21 % (2513858)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1740022875:i=75:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/75Mi)
% 6.61/1.21 % (2513861)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1581853646:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/387Mi)
% 6.61/1.21 % (2513861)Refutation not found, incomplete strategy
% 6.61/1.21 % (2513861)------------------------------
% 6.61/1.21 % (2513861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.21 % (2513861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.21 % (2513861)CaDiCaL version: 2.1.3
% 6.61/1.21 % (2513861)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.21 % (2513861)Time elapsed: 0.001 s
% 6.61/1.21 % (2513861)Peak memory usage: 11 MB
% 6.61/1.21 % (2513861)Instructions burned: 1 (million)
% 6.61/1.21 % (2513861)------------------------------
% 6.61/1.21 % (2513861)------------------------------
% 6.61/1.21 % (2513858)Instruction limit reached!
% 6.61/1.21 % (2513858)------------------------------
% 6.61/1.21 % (2513858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.21 % (2513858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.21 % (2513858)CaDiCaL version: 2.1.3
% 6.61/1.21 % (2513858)Termination reason: Instruction limit
% 6.61/1.21 % (2513858)Termination phase: Saturation
% 6.61/1.21 % (2513858)Time elapsed: 0.034 s
% 6.61/1.21 % (2513858)Peak memory usage: 12 MB
% 6.61/1.21 % (2513858)Instructions burned: 75 (million)
% 6.61/1.21 % (2513864)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=1562616340:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2992 on theBenchmark for (2992ds/148Mi)
% 6.61/1.21 % (2513865)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=260359332:i=161:piset=and:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/161Mi)
% 6.61/1.21 % (2513856)Instruction limit reached!
% 6.61/1.21 % (2513856)------------------------------
% 6.61/1.21 % (2513856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.21 % (2513856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.21 % (2513856)CaDiCaL version: 2.1.3
% 6.61/1.21 % (2513856)Termination reason: Instruction limit
% 6.61/1.21 % (2513856)Termination phase: Saturation
% 6.61/1.21 % (2513856)Time elapsed: 0.072 s
% 6.61/1.21 % (2513856)Peak memory usage: 12 MB
% 6.61/1.21 % (2513856)Instructions burned: 152 (million)
% 6.61/1.21 % (2513868)lrs+10_1_sil=128000:si=on:random_seed=184672723:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 7.37/1.43 % (2513868)Refutation not found, incomplete strategy
% 7.37/1.43 % (2513868)------------------------------
% 7.37/1.43 % (2513868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.43 % (2513868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.43 % (2513868)CaDiCaL version: 2.1.3
% 7.37/1.43 % (2513868)Termination reason: Refutation not found, incomplete strategy
% 7.37/1.43 % (2513868)Time elapsed: 0.001 s
% 7.37/1.43 % (2513868)Peak memory usage: 11 MB
% 7.37/1.43 % (2513868)Instructions burned: 1 (million)
% 7.37/1.43 % (2513868)------------------------------
% 7.37/1.43 % (2513868)------------------------------
% 7.37/1.43 % (2513864)Instruction limit reached!
% 7.37/1.43 % (2513864)------------------------------
% 7.37/1.43 % (2513864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.43 % (2513864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.43 % (2513864)CaDiCaL version: 2.1.3
% 7.37/1.43 % (2513864)Termination reason: Instruction limit
% 7.37/1.43 % (2513864)Termination phase: Saturation
% 7.37/1.43 % (2513864)Time elapsed: 0.064 s
% 7.37/1.43 % (2513864)Peak memory usage: 13 MB
% 7.37/1.43 % (2513864)Instructions burned: 149 (million)
% 7.37/1.43 % (2513844)Instruction limit reached!
% 7.37/1.43 % (2513844)------------------------------
% 7.37/1.43 % (2513844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.43 % (2513844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.43 % (2513844)CaDiCaL version: 2.1.3
% 7.37/1.43 % (2513844)Termination reason: Instruction limit
% 7.37/1.43 % (2513844)Termination phase: Saturation
% 7.37/1.43 % (2513844)Time elapsed: 0.145 s
% 7.37/1.43 % (2513844)Peak memory usage: 13 MB
% 7.37/1.43 % (2513844)Instructions burned: 281 (million)
% 7.37/1.43 % (2513870)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=2382171763:i=136:add=on:ins=4:rtra=on:sup=off_2991 on theBenchmark for (2991ds/136Mi)
% 7.37/1.43 % (2513865)Instruction limit reached!
% 7.37/1.43 % (2513865)------------------------------
% 7.37/1.43 % (2513865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.43 % (2513865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.43 % (2513865)CaDiCaL version: 2.1.3
% 7.37/1.43 % (2513865)Termination reason: Instruction limit
% 7.37/1.43 % (2513865)Termination phase: Saturation
% 7.37/1.43 % (2513865)Time elapsed: 0.055 s
% 7.37/1.43 % (2513865)Peak memory usage: 13 MB
% 7.37/1.43 % (2513865)Instructions burned: 162 (million)
% 7.37/1.43 % (2513870)Refutation not found, incomplete strategy
% 7.37/1.43 % (2513870)------------------------------
% 7.37/1.43 % (2513870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.43 % (2513870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.43 % (2513870)CaDiCaL version: 2.1.3
% 7.37/1.43 % (2513870)Termination reason: Refutation not found, incomplete strategy
% 7.37/1.43 % (2513870)Time elapsed: 0.002 s
% 7.37/1.43 % (2513870)Peak memory usage: 12 MB
% 7.37/1.43 % (2513870)Instructions burned: 3 (million)
% 7.37/1.43 % (2513870)------------------------------
% 7.37/1.43 % (2513870)------------------------------
% 7.37/1.43 % (2513871)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=602689424:i=88:s2at=3:nm=2:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/88Mi)
% 7.37/1.43 % (2513872)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4110073395:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2991 on theBenchmark for (2991ds/93Mi)
% 7.37/1.43 % (2513874)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1892606968:i=2186:rtra=on:ixr=off_2991 on theBenchmark for (2991ds/2186Mi)
% 7.37/1.43 % (2513875)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2809641706:s2a=on:i=240:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/240Mi)
% 7.37/1.43 % (2513871)Instruction limit reached!
% 7.37/1.43 % (2513871)------------------------------
% 7.37/1.43 % (2513871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.37/1.43 % (2513871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.52 % (2513871)CaDiCaL version: 2.1.3
% 8.11/1.52 % (2513871)Termination reason: Instruction limit
% 8.11/1.52 % (2513871)Termination phase: Saturation
% 8.11/1.52 % (2513871)Time elapsed: 0.040 s
% 8.11/1.52 % (2513871)Peak memory usage: 13 MB
% 8.11/1.52 % (2513871)Instructions burned: 90 (million)
% 8.11/1.52 % (2513872)Instruction limit reached!
% 8.11/1.52 % (2513872)------------------------------
% 8.11/1.52 % (2513872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.11/1.52 % (2513872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.52 % (2513872)CaDiCaL version: 2.1.3
% 8.11/1.52 % (2513872)Termination reason: Instruction limit
% 8.11/1.52 % (2513872)Termination phase: Saturation
% 8.11/1.52 % (2513872)Time elapsed: 0.044 s
% 8.11/1.52 % (2513872)Peak memory usage: 12 MB
% 8.11/1.52 % (2513872)Instructions burned: 95 (million)
% 8.11/1.52 % (2513880)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3269400854:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 8.11/1.52 % (2513881)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.11/1.52 % (2513881)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=2072618772:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2990 on theBenchmark for (2990ds/391Mi)
% 8.11/1.52 % (2513881)Refutation not found, incomplete strategy
% 8.11/1.52 % (2513881)------------------------------
% 8.11/1.52 % (2513881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.11/1.52 % (2513881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.52 % (2513881)CaDiCaL version: 2.1.3
% 8.11/1.52 % (2513881)Termination reason: Refutation not found, incomplete strategy
% 8.11/1.52 % (2513881)Time elapsed: 0.001 s
% 8.11/1.52 % (2513881)Peak memory usage: 11 MB
% 8.11/1.52 % (2513881)Instructions burned: 2 (million)
% 8.11/1.52 % (2513881)------------------------------
% 8.11/1.52 % (2513881)------------------------------
% 8.11/1.52 % (2513831)Instruction limit reached!
% 8.11/1.52 % (2513831)------------------------------
% 8.11/1.52 % (2513831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.11/1.52 % (2513831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.52 % (2513831)CaDiCaL version: 2.1.3
% 8.11/1.52 % (2513831)Termination reason: Instruction limit
% 8.11/1.52 % (2513831)Termination phase: Saturation
% 8.11/1.52 % (2513831)Time elapsed: 0.288 s
% 8.11/1.52 % (2513831)Peak memory usage: 13 MB
% 8.11/1.52 % (2513831)Instructions burned: 1444 (million)
% 8.11/1.52 % (2513885)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=148103919:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/314Mi)
% 8.11/1.52 % (2513885)Refutation not found, incomplete strategy
% 8.11/1.52 % (2513885)------------------------------
% 8.11/1.52 % (2513885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.11/1.52 % (2513885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.52 % (2513885)CaDiCaL version: 2.1.3
% 8.11/1.52 % (2513885)Termination reason: Refutation not found, incomplete strategy
% 8.11/1.53 % (2513885)Time elapsed: 0.0000 s
% 8.11/1.53 % (2513885)Peak memory usage: 11 MB
% 8.11/1.53 % (2513885)Instructions burned: 1 (million)
% 8.11/1.53 % (2513885)------------------------------
% 8.11/1.53 % (2513885)------------------------------
% 8.11/1.53 % (2513884)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1836564421:i=355:av=off:fsr=off:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/355Mi)
% 8.11/1.53 % (2513887)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2026720527:s2a=on:i=251:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/251Mi)
% 8.11/1.53 % (2513875)Instruction limit reached!
% 8.11/1.53 % (2513875)------------------------------
% 8.11/1.53 % (2513875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.11/1.53 % (2513875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/1.53 % (2513875)CaDiCaL version: 2.1.3
% 8.11/1.53 % (2513875)Termination reason: Instruction limit
% 8.11/1.53 % (2513875)Termination phase: Saturation
% 8.11/1.53 % (2513875)Time elapsed: 0.092 s
% 8.11/1.53 % (2513875)Peak memory usage: 13 MB
% 8.11/1.53 % (2513875)Instructions burned: 243 (million)
% 8.55/1.62 % (2513890)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=3569779398: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_2990 on theBenchmark for (2990ds/2470Mi)
% 8.55/1.62 % (2513887)Instruction limit reached!
% 8.55/1.62 % (2513887)------------------------------
% 8.55/1.62 % (2513887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.62 % (2513887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.62 % (2513887)CaDiCaL version: 2.1.3
% 8.55/1.62 % (2513887)Termination reason: Instruction limit
% 8.55/1.62 % (2513887)Termination phase: Saturation
% 8.55/1.62 % (2513887)Time elapsed: 0.059 s
% 8.55/1.62 % (2513887)Peak memory usage: 12 MB
% 8.55/1.62 % (2513887)Instructions burned: 256 (million)
% 8.55/1.62 % (2513892)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2935722275:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2989 on theBenchmark for (2989ds/673Mi)
% 8.55/1.62 % (2513884)Instruction limit reached!
% 8.55/1.62 % (2513884)------------------------------
% 8.55/1.62 % (2513884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.62 % (2513884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.62 % (2513884)CaDiCaL version: 2.1.3
% 8.55/1.62 % (2513884)Termination reason: Instruction limit
% 8.55/1.62 % (2513884)Termination phase: Saturation
% 8.55/1.62 % (2513884)Time elapsed: 0.154 s
% 8.55/1.62 % (2513884)Peak memory usage: 12 MB
% 8.55/1.62 % (2513884)Instructions burned: 356 (million)
% 8.55/1.62 % (2513894)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=178743052:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 8.55/1.62 % (2513848)Instruction limit reached!
% 8.55/1.62 % (2513848)------------------------------
% 8.55/1.62 % (2513848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.62 % (2513848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.62 % (2513848)CaDiCaL version: 2.1.3
% 8.55/1.62 % (2513848)Termination reason: Instruction limit
% 8.55/1.62 % (2513848)Termination phase: Saturation
% 8.55/1.62 % (2513848)Time elapsed: 0.441 s
% 8.55/1.62 % (2513848)Peak memory usage: 15 MB
% 8.55/1.62 % (2513848)Instructions burned: 866 (million)
% 8.55/1.62 % (2513892)Instruction limit reached!
% 8.55/1.62 % (2513892)------------------------------
% 8.55/1.62 % (2513892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.62 % (2513892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.62 % (2513892)CaDiCaL version: 2.1.3
% 8.55/1.62 % (2513892)Termination reason: Instruction limit
% 8.55/1.62 % (2513892)Termination phase: Saturation
% 8.55/1.62 % (2513892)Time elapsed: 0.134 s
% 8.55/1.62 % (2513892)Peak memory usage: 13 MB
% 8.55/1.62 % (2513892)Instructions burned: 678 (million)
% 8.55/1.62 % (2513894)Instruction limit reached!
% 8.55/1.62 % (2513894)------------------------------
% 8.55/1.62 % (2513894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.55/1.62 % (2513894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/1.63 % (2513894)CaDiCaL version: 2.1.3
% 8.55/1.63 % (2513894)Termination reason: Instruction limit
% 8.55/1.63 % (2513894)Termination phase: Saturation
% 8.55/1.63 % (2513894)Time elapsed: 0.048 s
% 8.55/1.63 % (2513894)Peak memory usage: 12 MB
% 8.55/1.63 % (2513894)Instructions burned: 117 (million)
% 8.55/1.63 % (2513897)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=2050513469: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_2988 on theBenchmark for (2988ds/30Mi)
% 8.55/1.63 % (2513896)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3787819102:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 8.55/1.63 % (2513897)Instruction limit reached!
% 8.55/1.63 % (2513897)------------------------------
% 8.55/1.63 % (2513897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.76 % (2513897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.76 % (2513897)CaDiCaL version: 2.1.3
% 8.97/1.76 % (2513897)Termination reason: Instruction limit
% 8.97/1.76 % (2513897)Termination phase: Saturation
% 8.97/1.76 % (2513897)Time elapsed: 0.008 s
% 8.97/1.76 % (2513897)Peak memory usage: 12 MB
% 8.97/1.76 % (2513897)Instructions burned: 31 (million)
% 8.97/1.76 % (2513898)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 8.97/1.76 % (2513898)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=719400075:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2988 on theBenchmark for (2988ds/39Mi)
% 8.97/1.76 % (2513901)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3772102064:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/365Mi)
% 8.97/1.76 % (2513898)Instruction limit reached!
% 8.97/1.76 % (2513898)------------------------------
% 8.97/1.76 % (2513898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.76 % (2513898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.76 % (2513898)CaDiCaL version: 2.1.3
% 8.97/1.76 % (2513898)Termination reason: Instruction limit
% 8.97/1.76 % (2513898)Termination phase: Saturation
% 8.97/1.76 % (2513898)Time elapsed: 0.020 s
% 8.97/1.76 % (2513898)Peak memory usage: 12 MB
% 8.97/1.76 % (2513898)Instructions burned: 39 (million)
% 8.97/1.76 % (2513904)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=969209158:i=158:av=off:rtra=on_2987 on theBenchmark for (2987ds/158Mi)
% 8.97/1.76 % (2513880)Instruction limit reached!
% 8.97/1.76 % (2513880)------------------------------
% 8.97/1.76 % (2513880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.76 % (2513880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.76 % (2513880)CaDiCaL version: 2.1.3
% 8.97/1.76 % (2513880)Termination reason: Instruction limit
% 8.97/1.76 % (2513880)Termination phase: Saturation
% 8.97/1.76 % (2513880)Time elapsed: 0.318 s
% 8.97/1.76 % (2513880)Peak memory usage: 14 MB
% 8.97/1.76 % (2513880)Instructions burned: 806 (million)
% 8.97/1.76 % (2513906)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
% 8.97/1.76 % (2513901)Instruction limit reached!
% 8.97/1.76 % (2513901)------------------------------
% 8.97/1.76 % (2513901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.76 % (2513901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.76 % (2513901)CaDiCaL version: 2.1.3
% 8.97/1.76 % (2513901)Termination reason: Instruction limit
% 8.97/1.76 % (2513901)Termination phase: Saturation
% 8.97/1.76 % (2513901)Time elapsed: 0.063 s
% 8.97/1.76 % (2513901)Peak memory usage: 13 MB
% 8.97/1.76 % (2513901)Instructions burned: 368 (million)
% 8.97/1.76 % (2513906)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=1537269336:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/252Mi)
% 8.97/1.76 % (2513907)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2121630147:i=213:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/213Mi)
% 8.97/1.77 % (2513907)Refutation not found, incomplete strategy
% 8.97/1.77 % (2513907)------------------------------
% 8.97/1.77 % (2513907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.97/1.77 % (2513907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/1.77 % (2513907)CaDiCaL version: 2.1.3
% 8.97/1.77 % (2513907)Termination reason: Refutation not found, incomplete strategy
% 8.97/1.77 % (2513907)Time elapsed: 0.0000 s
% 8.97/1.77 % (2513907)Peak memory usage: 11 MB
% 8.97/1.77 % (2513907)Instructions burned: 1 (million)
% 8.97/1.77 % (2513907)------------------------------
% 8.97/1.77 % (2513907)------------------------------
% 8.97/1.77 % (2513910)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=1976680399:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/160Mi)
% 8.97/1.77 % (2513910)Refutation not found, incomplete strategy
% 8.97/1.77 % (2513910)------------------------------
% 8.97/1.77 % (2513910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.82 % (2513910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.82 % (2513910)CaDiCaL version: 2.1.3
% 9.51/1.82 % (2513910)Termination reason: Refutation not found, incomplete strategy
% 9.51/1.82 % (2513910)Time elapsed: 0.0000 s
% 9.51/1.82 % (2513910)Peak memory usage: 11 MB
% 9.51/1.82 % (2513910)Instructions burned: 1 (million)
% 9.51/1.82 % (2513910)------------------------------
% 9.51/1.82 % (2513910)------------------------------
% 9.51/1.82 % (2513912)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3561595187:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/763Mi)
% 9.51/1.82 % (2513896)Instruction limit reached!
% 9.51/1.82 % (2513896)------------------------------
% 9.51/1.82 % (2513896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.82 % (2513896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.82 % (2513896)CaDiCaL version: 2.1.3
% 9.51/1.82 % (2513896)Termination reason: Instruction limit
% 9.51/1.82 % (2513896)Termination phase: Saturation
% 9.51/1.82 % (2513896)Time elapsed: 0.118 s
% 9.51/1.82 % (2513896)Peak memory usage: 13 MB
% 9.51/1.82 % (2513896)Instructions burned: 271 (million)
% 9.51/1.82 % (2513904)Instruction limit reached!
% 9.51/1.82 % (2513904)------------------------------
% 9.51/1.82 % (2513904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.82 % (2513904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.82 % (2513904)CaDiCaL version: 2.1.3
% 9.51/1.82 % (2513904)Termination reason: Instruction limit
% 9.51/1.82 % (2513904)Termination phase: Saturation
% 9.51/1.82 % (2513904)Time elapsed: 0.074 s
% 9.51/1.82 % (2513904)Peak memory usage: 12 MB
% 9.51/1.82 % (2513904)Instructions burned: 160 (million)
% 9.51/1.82 % (2513914)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 9.51/1.82 % (2513914)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=2266058399:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2986 on theBenchmark for (2986ds/237Mi)
% 9.51/1.82 % (2513914)Refutation not found, incomplete strategy
% 9.51/1.82 % (2513914)------------------------------
% 9.51/1.82 % (2513914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.82 % (2513914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.82 % (2513914)CaDiCaL version: 2.1.3
% 9.51/1.82 % (2513914)Termination reason: Refutation not found, incomplete strategy
% 9.51/1.82 % (2513914)Time elapsed: 0.001 s
% 9.51/1.82 % (2513914)Peak memory usage: 11 MB
% 9.51/1.82 % (2513914)Instructions burned: 1 (million)
% 9.51/1.82 % (2513914)------------------------------
% 9.51/1.82 % (2513914)------------------------------
% 9.51/1.82 % (2513915)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3125851010:s2a=on:i=386:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/386Mi)
% 9.51/1.82 % (2513917)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3015409218:i=300:piset=and:nm=32:rtra=on_2986 on theBenchmark for (2986ds/300Mi)
% 9.51/1.82 % (2513906)Instruction limit reached!
% 9.51/1.82 % (2513906)------------------------------
% 9.51/1.82 % (2513906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.82 % (2513906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.82 % (2513906)CaDiCaL version: 2.1.3
% 9.51/1.82 % (2513906)Termination reason: Instruction limit
% 9.51/1.82 % (2513906)Termination phase: Saturation
% 9.51/1.82 % (2513906)Time elapsed: 0.099 s
% 9.51/1.82 % (2513906)Peak memory usage: 12 MB
% 9.51/1.82 % (2513906)Instructions burned: 253 (million)
% 9.51/1.82 % (2513920)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3756296013:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/567Mi)
% 9.51/1.82 % (2513920)Refutation not found, incomplete strategy
% 9.51/1.82 % (2513920)------------------------------
% 9.51/1.82 % (2513920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.82 % (2513920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.82 % (2513920)CaDiCaL version: 2.1.3
% 9.51/1.82 % (2513920)Termination reason: Refutation not found, incomplete strategy
% 9.51/1.88 % (2513920)Time elapsed: 0.001 s
% 9.51/1.88 % (2513920)Peak memory usage: 11 MB
% 9.51/1.88 % (2513920)Instructions burned: 2 (million)
% 9.51/1.88 % (2513920)------------------------------
% 9.51/1.88 % (2513920)------------------------------
% 9.51/1.88 % (2513922)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1550431400:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2986 on theBenchmark for (2986ds/379Mi)
% 9.51/1.88 % (2513922)Refutation not found, incomplete strategy
% 9.51/1.88 % (2513922)------------------------------
% 9.51/1.88 % (2513922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.88 % (2513922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.88 % (2513922)CaDiCaL version: 2.1.3
% 9.51/1.88 % (2513922)Termination reason: Refutation not found, incomplete strategy
% 9.51/1.88 % (2513922)Time elapsed: 0.001 s
% 9.51/1.88 % (2513922)Peak memory usage: 11 MB
% 9.51/1.88 % (2513922)Instructions burned: 1 (million)
% 9.51/1.88 % (2513922)------------------------------
% 9.51/1.88 % (2513922)------------------------------
% 9.51/1.88 % (2513912)Instruction limit reached!
% 9.51/1.88 % (2513912)------------------------------
% 9.51/1.88 % (2513912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.88 % (2513912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.88 % (2513912)CaDiCaL version: 2.1.3
% 9.51/1.88 % (2513912)Termination reason: Instruction limit
% 9.51/1.88 % (2513912)Termination phase: Saturation
% 9.51/1.88 % (2513912)Time elapsed: 0.124 s
% 9.51/1.88 % (2513912)Peak memory usage: 14 MB
% 9.51/1.88 % (2513912)Instructions burned: 769 (million)
% 9.51/1.88 % (2513924)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2562797841:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2985 on theBenchmark for (2985ds/429Mi)
% 9.51/1.88 % (2513925)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=269455619:i=478:bd=all:rtra=on_2985 on theBenchmark for (2985ds/478Mi)
% 9.51/1.88 % (2513925)Refutation not found, incomplete strategy
% 9.51/1.88 % (2513925)------------------------------
% 9.51/1.88 % (2513925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.88 % (2513925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.88 % (2513925)CaDiCaL version: 2.1.3
% 9.51/1.88 % (2513925)Termination reason: Refutation not found, incomplete strategy
% 9.51/1.88 % (2513925)Time elapsed: 0.001 s
% 9.51/1.88 % (2513925)Peak memory usage: 12 MB
% 9.51/1.88 % (2513925)Instructions burned: 2 (million)
% 9.51/1.88 % (2513925)------------------------------
% 9.51/1.88 % (2513925)------------------------------
% 9.51/1.88 % (2513928)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4069504939:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2985 on theBenchmark for (2985ds/445Mi)
% 9.51/1.88 % (2513917)Instruction limit reached!
% 9.51/1.88 % (2513917)------------------------------
% 9.51/1.88 % (2513917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.88 % (2513917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.88 % (2513917)CaDiCaL version: 2.1.3
% 9.51/1.88 % (2513917)Termination reason: Instruction limit
% 9.51/1.88 % (2513917)Termination phase: Saturation
% 9.51/1.88 % (2513917)Time elapsed: 0.128 s
% 9.51/1.88 % (2513917)Peak memory usage: 12 MB
% 9.51/1.88 % (2513917)Instructions burned: 302 (million)
% 9.51/1.88 % (2513930)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1302588749:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/71Mi)
% 9.51/1.88 % (2513915)Instruction limit reached!
% 9.51/1.88 % (2513915)------------------------------
% 9.51/1.88 % (2513915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/1.88 % (2513915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/1.88 % (2513915)CaDiCaL version: 2.1.3
% 9.51/1.88 % (2513915)Termination reason: Instruction limit
% 9.51/1.88 % (2513915)Termination phase: Saturation
% 9.51/1.88 % (2513915)Time elapsed: 0.176 s
% 9.51/1.88 % (2513915)Peak memory usage: 12 MB
% 9.51/1.88 % (2513915)Instructions burned: 387 (million)
% 9.51/1.88 % (2513932)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=862394942:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/302Mi)
% 9.51/1.88 % (2513932)Refutation not found, incomplete strategy
% 10.19/1.98 % (2513932)------------------------------
% 10.19/1.98 % (2513932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.98 % (2513932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.98 % (2513932)CaDiCaL version: 2.1.3
% 10.19/1.98 % (2513932)Termination reason: Refutation not found, incomplete strategy
% 10.19/1.98 % (2513932)Time elapsed: 0.001 s
% 10.19/1.98 % (2513932)Peak memory usage: 11 MB
% 10.19/1.98 % (2513932)Instructions burned: 1 (million)
% 10.19/1.98 % (2513930)Instruction limit reached!
% 10.19/1.98 % (2513930)------------------------------
% 10.19/1.98 % (2513930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.98 % (2513930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.98 % (2513932)------------------------------
% 10.19/1.98 % (2513932)------------------------------
% 10.19/1.98 % (2513930)CaDiCaL version: 2.1.3
% 10.19/1.98 % (2513930)Termination reason: Instruction limit
% 10.19/1.98 % (2513930)Termination phase: Saturation
% 10.19/1.98 % (2513930)Time elapsed: 0.038 s
% 10.19/1.98 % (2513930)Peak memory usage: 12 MB
% 10.19/1.98 % (2513930)Instructions burned: 73 (million)
% 10.19/1.98 % (2513935)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
% 10.19/1.98 % (2513935)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 10.19/1.98 % (2513934)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2339906064:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2984 on theBenchmark for (2984ds/4980Mi)
% 10.19/1.98 % (2513935)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2403432335:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2984 on theBenchmark for (2984ds/100Mi)
% 10.19/1.98 % (2513934)Refutation not found, incomplete strategy
% 10.19/1.98 % (2513934)------------------------------
% 10.19/1.98 % (2513934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.98 % (2513934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.98 % (2513934)CaDiCaL version: 2.1.3
% 10.19/1.98 % (2513934)Termination reason: Refutation not found, incomplete strategy
% 10.19/1.98 % (2513934)Time elapsed: 0.001 s
% 10.19/1.98 % (2513934)Peak memory usage: 11 MB
% 10.19/1.98 % (2513934)Instructions burned: 1 (million)
% 10.19/1.98 % (2513934)------------------------------
% 10.19/1.98 % (2513934)------------------------------
% 10.19/1.98 % (2513928)Instruction limit reached!
% 10.19/1.98 % (2513928)------------------------------
% 10.19/1.98 % (2513928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.98 % (2513928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.98 % (2513928)CaDiCaL version: 2.1.3
% 10.19/1.98 % (2513928)Termination reason: Instruction limit
% 10.19/1.98 % (2513928)Termination phase: Saturation
% 10.19/1.98 % (2513928)Time elapsed: 0.117 s
% 10.19/1.98 % (2513928)Peak memory usage: 14 MB
% 10.19/1.98 % (2513928)Instructions burned: 445 (million)
% 10.19/1.98 % (2513938)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=1378218247:i=76:piset=equals:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/76Mi)
% 10.19/1.98 % (2513939)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=895887033:i=289:rtra=on_2984 on theBenchmark for (2984ds/289Mi)
% 10.19/1.98 % (2513939)Refutation not found, incomplete strategy
% 10.19/1.98 % (2513939)------------------------------
% 10.19/1.98 % (2513939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.98 % (2513939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.98 % (2513939)CaDiCaL version: 2.1.3
% 10.19/1.98 % (2513939)Termination reason: Refutation not found, incomplete strategy
% 10.19/1.98 % (2513939)Time elapsed: 0.001 s
% 10.19/1.98 % (2513939)Peak memory usage: 12 MB
% 10.19/1.98 % (2513939)Instructions burned: 2 (million)
% 10.19/1.98 % (2513939)------------------------------
% 10.19/1.98 % (2513939)------------------------------
% 10.19/1.98 % (2513942)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=981450571:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2984 on theBenchmark for (2984ds/493Mi)
% 12.69/2.10 % (2513935)Instruction limit reached!
% 12.69/2.10 % (2513935)------------------------------
% 12.69/2.10 % (2513935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.69/2.10 % (2513935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/2.10 % (2513935)CaDiCaL version: 2.1.3
% 12.69/2.10 % (2513935)Termination reason: Instruction limit
% 12.69/2.10 % (2513935)Termination phase: Saturation
% 12.69/2.10 % (2513935)Time elapsed: 0.045 s
% 12.69/2.10 % (2513935)Peak memory usage: 12 MB
% 12.69/2.10 % (2513935)Instructions burned: 101 (million)
% 12.69/2.10 % (2513938)Instruction limit reached!
% 12.69/2.10 % (2513938)------------------------------
% 12.69/2.10 % (2513938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.69/2.10 % (2513938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/2.10 % (2513938)CaDiCaL version: 2.1.3
% 12.69/2.10 % (2513938)Termination reason: Instruction limit
% 12.69/2.10 % (2513938)Termination phase: Saturation
% 12.69/2.10 % (2513938)Time elapsed: 0.037 s
% 12.69/2.10 % (2513938)Peak memory usage: 12 MB
% 12.69/2.10 % (2513938)Instructions burned: 77 (million)
% 12.69/2.10 % (2513944)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=720033998:cond=on:i=34:hud=10:nm=10:rtra=on_2983 on theBenchmark for (2983ds/34Mi)
% 12.69/2.10 % (2513945)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 12.69/2.10 % (2513924)Instruction limit reached!
% 12.69/2.10 % (2513924)------------------------------
% 12.69/2.10 % (2513924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.69/2.10 % (2513924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/2.10 % (2513924)CaDiCaL version: 2.1.3
% 12.69/2.10 % (2513924)Termination reason: Instruction limit
% 12.69/2.10 % (2513924)Termination phase: Saturation
% 12.69/2.10 % (2513924)Time elapsed: 0.194 s
% 12.69/2.10 % (2513924)Peak memory usage: 12 MB
% 12.69/2.10 % (2513924)Instructions burned: 431 (million)
% 12.69/2.10 % (2513945)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=3541541152:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2983 on theBenchmark for (2983ds/372Mi)
% 12.69/2.10 % (2513945)Refutation not found, incomplete strategy
% 12.69/2.10 % (2513945)------------------------------
% 12.69/2.10 % (2513945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.69/2.10 % (2513945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/2.10 % (2513945)CaDiCaL version: 2.1.3
% 12.69/2.10 % (2513945)Termination reason: Refutation not found, incomplete strategy
% 12.69/2.10 % (2513945)Time elapsed: 0.002 s
% 12.69/2.10 % (2513945)Peak memory usage: 12 MB
% 12.69/2.10 % (2513945)Instructions burned: 3 (million)
% 12.69/2.10 % (2513945)------------------------------
% 12.69/2.10 % (2513945)------------------------------
% 12.69/2.10 % (2513944)Instruction limit reached!
% 12.69/2.10 % (2513944)------------------------------
% 12.69/2.10 % (2513944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.69/2.10 % (2513944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/2.10 % (2513944)CaDiCaL version: 2.1.3
% 12.69/2.10 % (2513944)Termination reason: Instruction limit
% 12.69/2.10 % (2513944)Termination phase: Saturation
% 12.69/2.10 % (2513944)Time elapsed: 0.018 s
% 12.69/2.10 % (2513944)Peak memory usage: 12 MB
% 12.69/2.10 % (2513944)Instructions burned: 35 (million)
% 12.69/2.10 % (2513947)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=348012511:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2983 on theBenchmark for (2983ds/670Mi)
% 12.69/2.10 % (2513949)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4283284814:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/647Mi)
% 12.69/2.10 % (2513949)Refutation not found, incomplete strategy
% 12.69/2.10 % (2513949)------------------------------
% 12.69/2.10 % (2513949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.69/2.10 % (2513949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.23 % (2513949)CaDiCaL version: 2.1.3
% 13.81/2.23 % (2513949)Termination reason: Refutation not found, incomplete strategy
% 13.81/2.23 % (2513949)Time elapsed: 0.001 s
% 13.81/2.23 % (2513949)Peak memory usage: 11 MB
% 13.81/2.23 % (2513949)Instructions burned: 1 (million)
% 13.81/2.23 % (2513949)------------------------------
% 13.81/2.23 % (2513949)------------------------------
% 13.81/2.23 % (2513950)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=3284315195:i=857:add=off:kws=frequency:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/857Mi)
% 13.81/2.23 % (2513953)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=197269945:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2983 on theBenchmark for (2983ds/693Mi)
% 13.81/2.23 % (2513942)Instruction limit reached!
% 13.81/2.23 % (2513942)------------------------------
% 13.81/2.23 % (2513942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.23 % (2513942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.23 % (2513942)CaDiCaL version: 2.1.3
% 13.81/2.23 % (2513942)Termination reason: Instruction limit
% 13.81/2.23 % (2513942)Termination phase: Saturation
% 13.81/2.23 % (2513942)Time elapsed: 0.113 s
% 13.81/2.23 % (2513942)Peak memory usage: 13 MB
% 13.81/2.23 % (2513942)Instructions burned: 496 (million)
% 13.81/2.23 % (2513874)Instruction limit reached!
% 13.81/2.23 % (2513874)------------------------------
% 13.81/2.23 % (2513874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.23 % (2513874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.23 % (2513874)CaDiCaL version: 2.1.3
% 13.81/2.23 % (2513874)Termination reason: Instruction limit
% 13.81/2.23 % (2513874)Termination phase: Saturation
% 13.81/2.23 % (2513874)Time elapsed: 0.822 s
% 13.81/2.23 % (2513874)Peak memory usage: 13 MB
% 13.81/2.23 % (2513874)Instructions burned: 2188 (million)
% 13.81/2.23 % (2513956)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2599718906:i=285:hud=10:bd=all:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/285Mi)
% 13.81/2.23 % (2513956)Refutation not found, incomplete strategy
% 13.81/2.23 % (2513956)------------------------------
% 13.81/2.23 % (2513956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.23 % (2513956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.23 % (2513956)CaDiCaL version: 2.1.3
% 13.81/2.23 % (2513956)Termination reason: Refutation not found, incomplete strategy
% 13.81/2.23 % (2513956)Time elapsed: 0.0000 s
% 13.81/2.23 % (2513956)Peak memory usage: 11 MB
% 13.81/2.23 % (2513956)Instructions burned: 1 (million)
% 13.81/2.23 % (2513956)------------------------------
% 13.81/2.23 % (2513956)------------------------------
% 13.81/2.23 % (2513957)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 13.81/2.23 % (2513959)dis+10_1_si=on:random_seed=2856532831:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2982 on theBenchmark for (2982ds/407Mi)
% 13.81/2.23 % (2513959)Refutation not found, incomplete strategy
% 13.81/2.23 % (2513959)------------------------------
% 13.81/2.23 % (2513959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.23 % (2513959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.23 % (2513959)CaDiCaL version: 2.1.3
% 13.81/2.23 % (2513959)Termination reason: Refutation not found, incomplete strategy
% 13.81/2.23 % (2513959)Time elapsed: 0.0000 s
% 13.81/2.23 % (2513959)Peak memory usage: 11 MB
% 13.81/2.23 % (2513959)Instructions burned: 1 (million)
% 13.81/2.23 % (2513957)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=2014329357:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2982 on theBenchmark for (2982ds/52Mi)
% 13.81/2.23 % (2513959)------------------------------
% 13.81/2.23 % (2513959)------------------------------
% 13.81/2.23 % (2513962)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=4287485470:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/2240Mi)
% 13.81/2.23 % (2513957)Instruction limit reached!
% 13.81/2.23 % (2513957)------------------------------
% 13.81/2.23 % (2513957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.53/2.44 % (2513957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/2.44 % (2513957)CaDiCaL version: 2.1.3
% 14.53/2.44 % (2513957)Termination reason: Instruction limit
% 14.53/2.44 % (2513957)Termination phase: Saturation
% 14.53/2.44 % (2513957)Time elapsed: 0.018 s
% 14.53/2.44 % (2513957)Peak memory usage: 12 MB
% 14.53/2.44 % (2513957)Instructions burned: 52 (million)
% 14.53/2.44 % (2513964)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3271339883:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/336Mi)
% 14.53/2.44 % (2513964)Refutation not found, incomplete strategy
% 14.53/2.44 % (2513964)------------------------------
% 14.53/2.44 % (2513964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.53/2.44 % (2513964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/2.44 % (2513964)CaDiCaL version: 2.1.3
% 14.53/2.44 % (2513964)Termination reason: Refutation not found, incomplete strategy
% 14.53/2.44 % (2513964)Time elapsed: 0.001 s
% 14.53/2.44 % (2513964)Peak memory usage: 11 MB
% 14.53/2.44 % (2513964)Instructions burned: 1 (million)
% 14.53/2.44 % (2513964)------------------------------
% 14.53/2.44 % (2513964)------------------------------
% 14.53/2.44 % (2513966)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1974757858:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2982 on theBenchmark for (2982ds/1142Mi)
% 14.53/2.44 % (2513966)Refutation not found, incomplete strategy
% 14.53/2.44 % (2513966)------------------------------
% 14.53/2.44 % (2513966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.53/2.44 % (2513966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/2.44 % (2513966)CaDiCaL version: 2.1.3
% 14.53/2.44 % (2513966)Termination reason: Refutation not found, incomplete strategy
% 14.53/2.44 % (2513966)Time elapsed: 0.019 s
% 14.53/2.44 % (2513966)Peak memory usage: 12 MB
% 14.53/2.44 % (2513966)Instructions burned: 38 (million)
% 14.53/2.44 % (2513966)------------------------------
% 14.53/2.44 % (2513966)------------------------------
% 14.53/2.44 % (2513968)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3317773541:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/376Mi)
% 14.53/2.44 % (2513968)Refutation not found, incomplete strategy
% 14.53/2.44 % (2513968)------------------------------
% 14.53/2.44 % (2513968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.53/2.44 % (2513968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/2.44 % (2513968)CaDiCaL version: 2.1.3
% 14.53/2.44 % (2513968)Termination reason: Refutation not found, incomplete strategy
% 14.53/2.44 % (2513968)Time elapsed: 0.001 s
% 14.53/2.44 % (2513968)Peak memory usage: 11 MB
% 14.53/2.44 % (2513968)Instructions burned: 1 (million)
% 14.53/2.44 % (2513968)------------------------------
% 14.53/2.44 % (2513968)------------------------------
% 14.53/2.44 % (2513970)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3636183596:i=766:bd=all:rtra=on_2981 on theBenchmark for (2981ds/766Mi)
% 14.53/2.44 % (2513970)Refutation not found, incomplete strategy
% 14.53/2.44 % (2513970)------------------------------
% 14.53/2.44 % (2513970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.53/2.44 % (2513970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/2.44 % (2513970)CaDiCaL version: 2.1.3
% 14.53/2.44 % (2513970)Termination reason: Refutation not found, incomplete strategy
% 14.53/2.44 % (2513970)Time elapsed: 0.002 s
% 14.53/2.44 % (2513970)Peak memory usage: 12 MB
% 14.53/2.44 % (2513970)Instructions burned: 2 (million)
% 14.53/2.44 % (2513970)------------------------------
% 14.53/2.44 % (2513970)------------------------------
% 14.53/2.44 % (2513972)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 14.53/2.44 % (2513972)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=578542361: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_2981 on theBenchmark for (2981ds/959Mi)
% 14.53/2.44 % (2513972)Refutation not found, incomplete strategy
% 14.53/2.44 % (2513972)------------------------------
% 14.53/2.44 % (2513972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.55 % (2513972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.55 % (2513972)CaDiCaL version: 2.1.3
% 15.11/2.55 % (2513972)Termination reason: Refutation not found, incomplete strategy
% 15.11/2.55 % (2513972)Time elapsed: 0.001 s
% 15.11/2.55 % (2513972)Peak memory usage: 11 MB
% 15.11/2.55 % (2513972)Instructions burned: 1 (million)
% 15.11/2.55 % (2513972)------------------------------
% 15.11/2.55 % (2513972)------------------------------
% 15.11/2.55 % (2513974)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=2259383501:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2981 on theBenchmark for (2981ds/6359Mi)
% 15.11/2.55 % (2513947)Instruction limit reached!
% 15.11/2.55 % (2513947)------------------------------
% 15.11/2.55 % (2513947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.55 % (2513947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.55 % (2513947)CaDiCaL version: 2.1.3
% 15.11/2.55 % (2513947)Termination reason: Instruction limit
% 15.11/2.55 % (2513947)Termination phase: Saturation
% 15.11/2.55 % (2513947)Time elapsed: 0.238 s
% 15.11/2.55 % (2513947)Peak memory usage: 13 MB
% 15.11/2.55 % (2513947)Instructions burned: 671 (million)
% 15.11/2.55 % (2513976)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2448062101:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2981 on theBenchmark for (2981ds/35Mi)
% 15.11/2.55 % (2513976)Refutation not found, incomplete strategy
% 15.11/2.55 % (2513976)------------------------------
% 15.11/2.55 % (2513976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.55 % (2513976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.55 % (2513976)CaDiCaL version: 2.1.3
% 15.11/2.55 % (2513976)Termination reason: Refutation not found, incomplete strategy
% 15.11/2.55 % (2513976)Time elapsed: 0.001 s
% 15.11/2.55 % (2513976)Peak memory usage: 11 MB
% 15.11/2.55 % (2513976)Instructions burned: 1 (million)
% 15.11/2.55 % (2513976)------------------------------
% 15.11/2.55 % (2513976)------------------------------
% 15.11/2.55 % (2513978)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1619985679:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/53Mi)
% 15.11/2.55 % (2513953)Instruction limit reached!
% 15.11/2.55 % (2513953)------------------------------
% 15.11/2.55 % (2513953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.55 % (2513953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.55 % (2513953)CaDiCaL version: 2.1.3
% 15.11/2.55 % (2513953)Termination reason: Instruction limit
% 15.11/2.55 % (2513953)Termination phase: Saturation
% 15.11/2.55 % (2513953)Time elapsed: 0.271 s
% 15.11/2.55 % (2513953)Peak memory usage: 13 MB
% 15.11/2.55 % (2513953)Instructions burned: 693 (million)
% 15.11/2.55 % (2513978)Instruction limit reached!
% 15.11/2.55 % (2513978)------------------------------
% 15.11/2.55 % (2513978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.55 % (2513978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.55 % (2513978)CaDiCaL version: 2.1.3
% 15.11/2.55 % (2513978)Termination reason: Instruction limit
% 15.11/2.55 % (2513978)Termination phase: Saturation
% 15.11/2.55 % (2513978)Time elapsed: 0.029 s
% 15.11/2.55 % (2513978)Peak memory usage: 12 MB
% 15.11/2.55 % (2513978)Instructions burned: 54 (million)
% 15.11/2.55 % (2513980)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3066635793:s2a=on:i=876:s2at=6:nm=2:rtra=on_2980 on theBenchmark for (2980ds/876Mi)
% 15.11/2.55 % (2513981)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1880002456:i=57:ep=R:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/57Mi)
% 15.11/2.55 % (2513950)Instruction limit reached!
% 15.11/2.55 % (2513950)------------------------------
% 15.11/2.55 % (2513950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.55 % (2513950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.55 % (2513950)CaDiCaL version: 2.1.3
% 15.11/2.55 % (2513950)Termination reason: Instruction limit
% 15.11/2.55 % (2513950)Termination phase: Saturation
% 15.11/2.55 % (2513950)Time elapsed: 0.341 s
% 15.11/2.55 % (2513950)Peak memory usage: 12 MB
% 15.11/2.55 % (2513950)Instructions burned: 857 (million)
% 16.13/2.61 % (2513981)Instruction limit reached!
% 16.13/2.61 % (2513981)------------------------------
% 16.13/2.61 % (2513981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.61 % (2513981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.61 % (2513981)CaDiCaL version: 2.1.3
% 16.13/2.61 % (2513981)Termination reason: Instruction limit
% 16.13/2.61 % (2513981)Termination phase: Saturation
% 16.13/2.61 % (2513981)Time elapsed: 0.028 s
% 16.13/2.61 % (2513981)Peak memory usage: 12 MB
% 16.13/2.61 % (2513981)Instructions burned: 58 (million)
% 16.13/2.61 % (2513984)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.13/2.61 % (2513984)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3051375209:i=306:bd=all:rtra=on_2979 on theBenchmark for (2979ds/306Mi)
% 16.13/2.61 % (2513984)Refutation not found, incomplete strategy
% 16.13/2.61 % (2513984)------------------------------
% 16.13/2.61 % (2513984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.61 % (2513984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.61 % (2513984)CaDiCaL version: 2.1.3
% 16.13/2.61 % (2513984)Termination reason: Refutation not found, incomplete strategy
% 16.13/2.61 % (2513984)Time elapsed: 0.002 s
% 16.13/2.61 % (2513984)Peak memory usage: 12 MB
% 16.13/2.61 % (2513984)Instructions burned: 2 (million)
% 16.13/2.61 % (2513984)------------------------------
% 16.13/2.61 % (2513984)------------------------------
% 16.13/2.61 % (2513985)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=612269964:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/262Mi)
% 16.13/2.61 % (2513985)Refutation not found, incomplete strategy
% 16.13/2.61 % (2513985)------------------------------
% 16.13/2.61 % (2513985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.61 % (2513985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.61 % (2513985)CaDiCaL version: 2.1.3
% 16.13/2.61 % (2513985)Termination reason: Refutation not found, incomplete strategy
% 16.13/2.61 % (2513985)Time elapsed: 0.001 s
% 16.13/2.61 % (2513985)Peak memory usage: 11 MB
% 16.13/2.61 % (2513985)Instructions burned: 1 (million)
% 16.13/2.61 % (2513985)------------------------------
% 16.13/2.61 % (2513985)------------------------------
% 16.13/2.61 % (2513987)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 16.13/2.61 % (2513987)ott+1002_16_sil=128000:si=on:random_seed=4264319358:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/409Mi)
% 16.13/2.61 % (2513989)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3828288978:s2a=on:i=381:rtra=on_2979 on theBenchmark for (2979ds/381Mi)
% 16.13/2.61 % (2513890)Instruction limit reached!
% 16.13/2.61 % (2513890)------------------------------
% 16.13/2.61 % (2513890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.61 % (2513890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.61 % (2513890)CaDiCaL version: 2.1.3
% 16.13/2.61 % (2513890)Termination reason: Instruction limit
% 16.13/2.61 % (2513890)Termination phase: Saturation
% 16.13/2.61 % (2513890)Time elapsed: 1.142 s
% 16.13/2.61 % (2513890)Peak memory usage: 16 MB
% 16.13/2.61 % (2513890)Instructions burned: 2471 (million)
% 16.13/2.61 % (2513992)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2908832814:cond=on:i=324:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/324Mi)
% 16.13/2.61 % (2513987)Instruction limit reached!
% 16.13/2.61 % (2513987)------------------------------
% 16.13/2.61 % (2513987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.61 % (2513987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.61 % (2513987)CaDiCaL version: 2.1.3
% 16.13/2.61 % (2513987)Termination reason: Instruction limit
% 16.13/2.61 % (2513987)Termination phase: Saturation
% 16.13/2.61 % (2513987)Time elapsed: 0.148 s
% 16.13/2.61 % (2513987)Peak memory usage: 13 MB
% 16.13/2.61 % (2513987)Instructions burned: 410 (million)
% 16.13/2.61 % (2513994)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2166023222:i=240:kws=inv_precedence:rtra=on_2978 on theBenchmark for (2978ds/240Mi)
% 16.13/2.61 % (2513994)Refutation not found, incomplete strategy
% 16.13/2.61 % (2513994)------------------------------
% 16.53/2.72 % (2513994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.53/2.72 % (2513994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.53/2.72 % (2513994)CaDiCaL version: 2.1.3
% 16.53/2.72 % (2513994)Termination reason: Refutation not found, incomplete strategy
% 16.53/2.72 % (2513994)Time elapsed: 0.001 s
% 16.53/2.72 % (2513994)Peak memory usage: 12 MB
% 16.53/2.72 % (2513994)Instructions burned: 2 (million)
% 16.53/2.72 % (2513994)------------------------------
% 16.53/2.72 % (2513994)------------------------------
% 16.53/2.72 % (2513989)Instruction limit reached!
% 16.53/2.72 % (2513989)------------------------------
% 16.53/2.72 % (2513989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.53/2.72 % (2513989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.53/2.72 % (2513989)CaDiCaL version: 2.1.3
% 16.53/2.72 % (2513989)Termination reason: Instruction limit
% 16.53/2.72 % (2513989)Termination phase: Saturation
% 16.53/2.72 % (2513989)Time elapsed: 0.165 s
% 16.53/2.72 % (2513989)Peak memory usage: 12 MB
% 16.53/2.72 % (2513989)Instructions burned: 381 (million)
% 16.53/2.72 % (2513996)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.53/2.72 % (2513996)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3079171910:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/124Mi)
% 16.53/2.72 % (2513997)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=823791249:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2977 on theBenchmark for (2977ds/223Mi)
% 16.53/2.72 % (2513996)Instruction limit reached!
% 16.53/2.72 % (2513996)------------------------------
% 16.53/2.72 % (2513996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.53/2.72 % (2513996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.53/2.72 % (2513996)CaDiCaL version: 2.1.3
% 16.53/2.72 % (2513996)Termination reason: Instruction limit
% 16.53/2.72 % (2513996)Termination phase: Saturation
% 16.53/2.72 % (2513996)Time elapsed: 0.047 s
% 16.53/2.72 % (2513996)Peak memory usage: 12 MB
% 16.53/2.72 % (2513996)Instructions burned: 125 (million)
% 16.53/2.72 % (2514000)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1131098352:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2977 on theBenchmark for (2977ds/282Mi)
% 16.53/2.72 % (2513997)Instruction limit reached!
% 16.53/2.72 % (2513997)------------------------------
% 16.53/2.72 % (2513997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.53/2.72 % (2513997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.53/2.72 % (2513997)CaDiCaL version: 2.1.3
% 16.53/2.72 % (2513997)Termination reason: Instruction limit
% 16.53/2.72 % (2513997)Termination phase: Saturation
% 16.53/2.72 % (2513997)Time elapsed: 0.074 s
% 16.53/2.72 % (2513997)Peak memory usage: 14 MB
% 16.53/2.72 % (2513997)Instructions burned: 223 (million)
% 16.53/2.72 % (2513992)Instruction limit reached!
% 16.53/2.72 % (2513992)------------------------------
% 16.53/2.72 % (2513992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.53/2.72 % (2513992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.53/2.72 % (2513992)CaDiCaL version: 2.1.3
% 16.53/2.72 % (2513992)Termination reason: Instruction limit
% 16.53/2.73 % (2513992)Termination phase: Saturation
% 16.53/2.73 % (2513992)Time elapsed: 0.143 s
% 16.53/2.73 % (2513992)Peak memory usage: 12 MB
% 16.53/2.73 % (2513992)Instructions burned: 324 (million)
% 16.53/2.73 % (2514002)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1728710468:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/464Mi)
% 16.53/2.73 % (2514003)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=4282390178:i=88:s2at=3:nm=2:rtra=on:rawr=on_2976 on theBenchmark for (2976ds/88Mi)
% 16.53/2.73 % (2514002)Refutation not found, incomplete strategy
% 16.53/2.73 % (2514002)------------------------------
% 16.53/2.73 % (2514002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.53/2.73 % (2514002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.53/2.73 % (2514002)CaDiCaL version: 2.1.3
% 16.53/2.73 % (2514002)Termination reason: Refutation not found, incomplete strategy
% 16.53/2.73 % (2514002)Time elapsed: 0.001 s
% 17.07/2.87 % (2514002)Peak memory usage: 11 MB
% 17.07/2.87 % (2514002)Instructions burned: 2 (million)
% 17.07/2.87 % (2514002)------------------------------
% 17.07/2.87 % (2514002)------------------------------
% 17.07/2.87 % (2514006)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3361264164:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2976 on theBenchmark for (2976ds/280Mi)
% 17.07/2.87 % (2513980)Instruction limit reached!
% 17.07/2.87 % (2513980)------------------------------
% 17.07/2.87 % (2513980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/2.87 % (2513980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/2.87 % (2513980)CaDiCaL version: 2.1.3
% 17.07/2.87 % (2513980)Termination reason: Instruction limit
% 17.07/2.87 % (2513980)Termination phase: Saturation
% 17.07/2.87 % (2513980)Time elapsed: 0.382 s
% 17.07/2.87 % (2513980)Peak memory usage: 13 MB
% 17.07/2.87 % (2513980)Instructions burned: 878 (million)
% 17.07/2.87 % (2513962)Instruction limit reached!
% 17.07/2.87 % (2513962)------------------------------
% 17.07/2.87 % (2513962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/2.87 % (2513962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/2.87 % (2513962)CaDiCaL version: 2.1.3
% 17.07/2.87 % (2513962)Termination reason: Instruction limit
% 17.07/2.87 % (2513962)Termination phase: Saturation
% 17.07/2.87 % (2513962)Time elapsed: 0.621 s
% 17.07/2.87 % (2513962)Peak memory usage: 17 MB
% 17.07/2.87 % (2513962)Instructions burned: 2244 (million)
% 17.07/2.87 % (2514008)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 17.07/2.87 % (2514003)Instruction limit reached!
% 17.07/2.87 % (2514003)------------------------------
% 17.07/2.87 % (2514003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/2.87 % (2514003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/2.87 % (2514003)CaDiCaL version: 2.1.3
% 17.07/2.87 % (2514003)Termination reason: Instruction limit
% 17.07/2.87 % (2514003)Termination phase: Saturation
% 17.07/2.87 % (2514003)Time elapsed: 0.041 s
% 17.07/2.87 % (2514003)Peak memory usage: 13 MB
% 17.07/2.87 % (2514003)Instructions burned: 90 (million)
% 17.07/2.87 % (2514008)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3245952620:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/4386Mi)
% 17.07/2.87 % (2514009)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 17.07/2.87 % (2514009)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 17.07/2.87 % (2514009)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=4278757593:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2976 on theBenchmark for (2976ds/483Mi)
% 17.07/2.87 % (2514009)Refutation not found, incomplete strategy
% 17.07/2.87 % (2514009)------------------------------
% 17.07/2.87 % (2514009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/2.87 % (2514009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/2.87 % (2514009)CaDiCaL version: 2.1.3
% 17.07/2.87 % (2514009)Termination reason: Refutation not found, incomplete strategy
% 17.07/2.87 % (2514009)Time elapsed: 0.0000 s
% 17.07/2.87 % (2514009)Peak memory usage: 12 MB
% 17.07/2.87 % (2514009)Instructions burned: 1 (million)
% 17.07/2.87 % (2514009)------------------------------
% 17.07/2.87 % (2514009)------------------------------
% 17.07/2.87 % (2514013)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3156472147:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2976 on theBenchmark for (2976ds/176Mi)
% 17.07/2.87 % (2514010)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3076530137:i=73:rtra=on_2976 on theBenchmark for (2976ds/73Mi)
% 17.07/2.87 % (2514010)Refutation not found, incomplete strategy
% 17.07/2.87 % (2514010)------------------------------
% 17.07/2.87 % (2514010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/2.87 % (2514010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.07 % (2514010)CaDiCaL version: 2.1.3
% 19.81/3.07 % (2514010)Termination reason: Refutation not found, incomplete strategy
% 19.81/3.07 % (2514010)Time elapsed: 0.002 s
% 19.81/3.07 % (2514010)Peak memory usage: 12 MB
% 19.81/3.07 % (2514010)Instructions burned: 2 (million)
% 19.81/3.07 % (2514010)------------------------------
% 19.81/3.07 % (2514010)------------------------------
% 19.81/3.07 % (2514016)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 19.81/3.07 % (2514016)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2190504406:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2976 on theBenchmark for (2976ds/39Mi)
% 19.81/3.07 % (2514013)Instruction limit reached!
% 19.81/3.07 % (2514013)------------------------------
% 19.81/3.07 % (2514013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.07 % (2514013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.07 % (2514013)CaDiCaL version: 2.1.3
% 19.81/3.07 % (2514013)Termination reason: Instruction limit
% 19.81/3.07 % (2514013)Termination phase: Saturation
% 19.81/3.07 % (2514013)Time elapsed: 0.042 s
% 19.81/3.07 % (2514013)Peak memory usage: 12 MB
% 19.81/3.07 % (2514013)Instructions burned: 178 (million)
% 19.81/3.07 % (2514016)Instruction limit reached!
% 19.81/3.07 % (2514016)------------------------------
% 19.81/3.07 % (2514016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.07 % (2514016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.07 % (2514016)CaDiCaL version: 2.1.3
% 19.81/3.07 % (2514016)Termination reason: Instruction limit
% 19.81/3.07 % (2514016)Termination phase: Saturation
% 19.81/3.07 % (2514016)Time elapsed: 0.021 s
% 19.81/3.07 % (2514016)Peak memory usage: 12 MB
% 19.81/3.07 % (2514016)Instructions burned: 41 (million)
% 19.81/3.07 % (2514018)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2312899557:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2975 on theBenchmark for (2975ds/708Mi)
% 19.81/3.07 % (2514000)Instruction limit reached!
% 19.81/3.07 % (2514000)------------------------------
% 19.81/3.07 % (2514000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.07 % (2514000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.07 % (2514000)CaDiCaL version: 2.1.3
% 19.81/3.07 % (2514000)Termination reason: Instruction limit
% 19.81/3.07 % (2514000)Termination phase: Saturation
% 19.81/3.07 % (2514000)Time elapsed: 0.143 s
% 19.81/3.07 % (2514000)Peak memory usage: 14 MB
% 19.81/3.07 % (2514000)Instructions burned: 283 (million)
% 19.81/3.07 % (2514019)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
% 19.81/3.07 % (2514019)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=694285120:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/252Mi)
% 19.81/3.07 % (2514021)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2634190809:i=823:fsr=off:rtra=on_2975 on theBenchmark for (2975ds/823Mi)
% 19.81/3.07 % (2514006)Instruction limit reached!
% 19.81/3.07 % (2514006)------------------------------
% 19.81/3.07 % (2514006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.07 % (2514006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.81/3.07 % (2514006)CaDiCaL version: 2.1.3
% 19.81/3.07 % (2514006)Termination reason: Instruction limit
% 19.81/3.07 % (2514006)Termination phase: Saturation
% 19.81/3.07 % (2514006)Time elapsed: 0.131 s
% 19.81/3.07 % (2514006)Peak memory usage: 12 MB
% 19.81/3.07 % (2514006)Instructions burned: 282 (million)
% 19.81/3.07 % (2514024)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 19.81/3.07 % (2514024)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=948073470:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/16202Mi)
% 19.81/3.07 % (2514024)Refutation not found, incomplete strategy
% 19.81/3.07 % (2514024)------------------------------
% 19.81/3.07 % (2514024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.81/3.07 % (2514024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/3.14 % (2514024)CaDiCaL version: 2.1.3
% 20.46/3.14 % (2514024)Termination reason: Refutation not found, incomplete strategy
% 20.46/3.14 % (2514024)Time elapsed: 0.001 s
% 20.46/3.14 % (2514024)Peak memory usage: 11 MB
% 20.46/3.14 % (2514024)Instructions burned: 2 (million)
% 20.46/3.14 % (2514024)------------------------------
% 20.46/3.14 % (2514024)------------------------------
% 20.46/3.14 % (2514026)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3127957283:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/300Mi)
% 20.46/3.14 % (2514019)Instruction limit reached!
% 20.46/3.14 % (2514019)------------------------------
% 20.46/3.14 % (2514019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.46/3.14 % (2514019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/3.14 % (2514019)CaDiCaL version: 2.1.3
% 20.46/3.14 % (2514019)Termination reason: Instruction limit
% 20.46/3.14 % (2514019)Termination phase: Saturation
% 20.46/3.14 % (2514019)Time elapsed: 0.104 s
% 20.46/3.14 % (2514019)Peak memory usage: 13 MB
% 20.46/3.14 % (2514019)Instructions burned: 253 (million)
% 20.46/3.14 % (2514018)Instruction limit reached!
% 20.46/3.14 % (2514018)------------------------------
% 20.46/3.14 % (2514018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.46/3.14 % (2514018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/3.14 % (2514018)CaDiCaL version: 2.1.3
% 20.46/3.14 % (2514018)Termination reason: Instruction limit
% 20.46/3.14 % (2514018)Termination phase: Saturation
% 20.46/3.14 % (2514018)Time elapsed: 0.123 s
% 20.46/3.14 % (2514018)Peak memory usage: 13 MB
% 20.46/3.14 % (2514018)Instructions burned: 711 (million)
% 20.46/3.14 % (2514028)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 20.46/3.14 % (2514028)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 20.46/3.14 % (2514029)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=902487732:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/715Mi)
% 20.46/3.14 % (2514028)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2797781112:i=177:add=on:bd=preordered:rtra=on:rawr=on_2974 on theBenchmark for (2974ds/177Mi)
% 20.46/3.14 % (2514029)Refutation not found, incomplete strategy
% 20.46/3.14 % (2514029)------------------------------
% 20.46/3.14 % (2514029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.46/3.14 % (2514029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/3.14 % (2514029)CaDiCaL version: 2.1.3
% 20.46/3.14 % (2514029)Termination reason: Refutation not found, incomplete strategy
% 20.46/3.14 % (2514029)Time elapsed: 0.0000 s
% 20.46/3.14 % (2514029)Peak memory usage: 11 MB
% 20.46/3.14 % (2514029)Instructions burned: 2 (million)
% 20.46/3.14 % (2514029)------------------------------
% 20.46/3.14 % (2514029)------------------------------
% 20.46/3.14 % (2514032)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 20.46/3.14 % (2514032)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 20.46/3.14 % (2514032)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=1100468255:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2974 on theBenchmark for (2974ds/230Mi)
% 20.46/3.14 % (2514032)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.46/3.14 % (2514032)Instruction limit reached!
% 20.46/3.14 % (2514032)------------------------------
% 20.46/3.14 % (2514032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.46/3.14 % (2514032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/3.14 % (2514032)CaDiCaL version: 2.1.3
% 20.46/3.14 % (2514032)Termination reason: Instruction limit
% 20.46/3.14 % (2514032)Termination phase: Saturation
% 20.46/3.14 % (2514032)Time elapsed: 0.057 s
% 20.46/3.14 % (2514032)Peak memory usage: 12 MB
% 20.46/3.14 % (2514032)Instructions burned: 234 (million)
% 20.46/3.14 % (2514026)Instruction limit reached!
% 20.46/3.14 % (2514026)------------------------------
% 20.46/3.14 % (2514026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.25 % (2514026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.25 % (2514026)CaDiCaL version: 2.1.3
% 20.88/3.25 % (2514026)Termination reason: Instruction limit
% 20.88/3.25 % (2514026)Termination phase: Saturation
% 20.88/3.25 % (2514026)Time elapsed: 0.127 s
% 20.88/3.25 % (2514026)Peak memory usage: 12 MB
% 20.88/3.25 % (2514026)Instructions burned: 302 (million)
% 20.88/3.25 % (2514034)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2590782810:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2973 on theBenchmark for (2973ds/606Mi)
% 20.88/3.25 % (2514028)Instruction limit reached!
% 20.88/3.25 % (2514028)------------------------------
% 20.88/3.25 % (2514028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.25 % (2514028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.25 % (2514028)CaDiCaL version: 2.1.3
% 20.88/3.25 % (2514028)Termination reason: Instruction limit
% 20.88/3.25 % (2514028)Termination phase: Saturation
% 20.88/3.25 % (2514028)Time elapsed: 0.079 s
% 20.88/3.25 % (2514028)Peak memory usage: 12 MB
% 20.88/3.25 % (2514028)Instructions burned: 177 (million)
% 20.88/3.25 % (2514035)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 20.88/3.25 % (2514035)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=945993029:lrd=on:i=841:nm=0:rtra=on_2973 on theBenchmark for (2973ds/841Mi)
% 20.88/3.25 % (2514037)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2552976949:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2973 on theBenchmark for (2973ds/445Mi)
% 20.88/3.25 % (2514021)Instruction limit reached!
% 20.88/3.25 % (2514021)------------------------------
% 20.88/3.25 % (2514021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.25 % (2514021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.25 % (2514021)CaDiCaL version: 2.1.3
% 20.88/3.25 % (2514021)Termination reason: Instruction limit
% 20.88/3.25 % (2514021)Termination phase: Saturation
% 20.88/3.25 % (2514021)Time elapsed: 0.334 s
% 20.88/3.25 % (2514021)Peak memory usage: 13 MB
% 20.88/3.25 % (2514021)Instructions burned: 824 (million)
% 20.88/3.25 % (2514034)Instruction limit reached!
% 20.88/3.25 % (2514034)------------------------------
% 20.88/3.25 % (2514034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.25 % (2514034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.25 % (2514034)CaDiCaL version: 2.1.3
% 20.88/3.25 % (2514034)Termination reason: Instruction limit
% 20.88/3.25 % (2514034)Termination phase: Saturation
% 20.88/3.25 % (2514034)Time elapsed: 0.144 s
% 20.88/3.25 % (2514034)Peak memory usage: 13 MB
% 20.88/3.25 % (2514034)Instructions burned: 610 (million)
% 20.88/3.25 % (2514041)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
% 20.88/3.25 % (2514041)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.88/3.25 % (2514041)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1796849752:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2972 on theBenchmark for (2972ds/100Mi)
% 20.88/3.25 % (2514040)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3068181621:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/71Mi)
% 20.88/3.25 % (2514041)Instruction limit reached!
% 20.88/3.25 % (2514041)------------------------------
% 20.88/3.25 % (2514041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.25 % (2514041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.25 % (2514041)CaDiCaL version: 2.1.3
% 20.88/3.25 % (2514041)Termination reason: Instruction limit
% 20.88/3.25 % (2514041)Termination phase: Saturation
% 20.88/3.25 % (2514041)Time elapsed: 0.024 s
% 20.88/3.25 % (2514041)Peak memory usage: 12 MB
% 20.88/3.25 % (2514041)Instructions burned: 105 (million)
% 20.88/3.25 % (2514044)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 20.88/3.25 % (2514044)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=678244104:i=1352:add=on:aac=none:rtra=on_2971 on theBenchmark for (2971ds/1352Mi)
% 21.41/3.33 % (2514044)Refutation not found, incomplete strategy
% 21.41/3.33 % (2514044)------------------------------
% 21.41/3.33 % (2514044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.41/3.33 % (2514044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.41/3.33 % (2514044)CaDiCaL version: 2.1.3
% 21.41/3.33 % (2514044)Termination reason: Refutation not found, incomplete strategy
% 21.41/3.33 % (2514044)Time elapsed: 0.001 s
% 21.41/3.33 % (2514044)Peak memory usage: 12 MB
% 21.41/3.33 % (2514044)Instructions burned: 4 (million)
% 21.41/3.33 % (2514044)------------------------------
% 21.41/3.33 % (2514044)------------------------------
% 21.41/3.33 % (2514040)Instruction limit reached!
% 21.41/3.33 % (2514040)------------------------------
% 21.41/3.33 % (2514040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.41/3.33 % (2514040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.41/3.33 % (2514040)CaDiCaL version: 2.1.3
% 21.41/3.33 % (2514040)Termination reason: Instruction limit
% 21.41/3.33 % (2514040)Termination phase: Saturation
% 21.41/3.33 % (2514040)Time elapsed: 0.037 s
% 21.41/3.33 % (2514040)Peak memory usage: 13 MB
% 21.41/3.33 % (2514040)Instructions burned: 72 (million)
% 21.41/3.33 % (2514046)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=912109905:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2971 on theBenchmark for (2971ds/646Mi)
% 21.41/3.33 % (2514047)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=432260008:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/1924Mi)
% 21.41/3.33 % (2514047)Refutation not found, incomplete strategy
% 21.41/3.33 % (2514047)------------------------------
% 21.41/3.33 % (2514047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.41/3.33 % (2514047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.41/3.33 % (2514047)CaDiCaL version: 2.1.3
% 21.41/3.33 % (2514047)Termination reason: Refutation not found, incomplete strategy
% 21.41/3.33 % (2514047)Time elapsed: 0.001 s
% 21.41/3.33 % (2514047)Peak memory usage: 11 MB
% 21.41/3.33 % (2514047)Instructions burned: 1 (million)
% 21.41/3.33 % (2514047)------------------------------
% 21.41/3.33 % (2514047)------------------------------
% 21.41/3.33 % (2514050)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1839875098:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/984Mi)
% 21.41/3.33 % (2514050)Refutation not found, incomplete strategy
% 21.41/3.33 % (2514050)------------------------------
% 21.41/3.33 % (2514050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.41/3.33 % (2514050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.41/3.33 % (2514050)CaDiCaL version: 2.1.3
% 21.41/3.33 % (2514050)Termination reason: Refutation not found, incomplete strategy
% 21.41/3.33 % (2514050)Time elapsed: 0.002 s
% 21.41/3.33 % (2514050)Peak memory usage: 12 MB
% 21.41/3.33 % (2514050)Instructions burned: 2 (million)
% 21.41/3.33 % (2514050)------------------------------
% 21.41/3.33 % (2514050)------------------------------
% 21.41/3.33 % (2514037)Instruction limit reached!
% 21.41/3.33 % (2514037)------------------------------
% 21.41/3.33 % (2514037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.41/3.33 % (2514037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.41/3.33 % (2514037)CaDiCaL version: 2.1.3
% 21.41/3.33 % (2514037)Termination reason: Instruction limit
% 21.41/3.33 % (2514037)Termination phase: Saturation
% 21.41/3.33 % (2514037)Time elapsed: 0.223 s
% 21.41/3.33 % (2514037)Peak memory usage: 14 MB
% 21.41/3.33 % (2514037)Instructions burned: 445 (million)
% 21.41/3.33 % (2514052)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3126375023:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2971 on theBenchmark for (2971ds/592Mi)
% 21.41/3.33 % (2514053)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2783342038:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2971 on theBenchmark for (2971ds/872Mi)
% 21.41/3.33 % (2514053)Refutation not found, incomplete strategy
% 22.01/3.49 % (2514053)------------------------------
% 22.01/3.49 % (2514053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.01/3.49 % (2514053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.01/3.49 % (2514053)CaDiCaL version: 2.1.3
% 22.01/3.49 % (2514053)Termination reason: Refutation not found, incomplete strategy
% 22.01/3.49 % (2514053)Time elapsed: 0.001 s
% 22.01/3.49 % (2514053)Peak memory usage: 11 MB
% 22.01/3.49 % (2514053)Instructions burned: 1 (million)
% 22.01/3.49 % (2514053)------------------------------
% 22.01/3.49 % (2514053)------------------------------
% 22.01/3.49 % (2514056)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 22.01/3.49 % (2514056)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=1170391764:i=999:add=on:rtra=on_2970 on theBenchmark for (2970ds/999Mi)
% 22.01/3.49 % (2514046)Instruction limit reached!
% 22.01/3.49 % (2514046)------------------------------
% 22.01/3.49 % (2514046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.01/3.49 % (2514046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.01/3.49 % (2514046)CaDiCaL version: 2.1.3
% 22.01/3.49 % (2514046)Termination reason: Instruction limit
% 22.01/3.49 % (2514046)Termination phase: Saturation
% 22.01/3.49 % (2514046)Time elapsed: 0.115 s
% 22.01/3.49 % (2514046)Peak memory usage: 14 MB
% 22.01/3.49 % (2514046)Instructions burned: 646 (million)
% 22.01/3.49 % (2514058)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.01/3.49 % (2514058)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=3504060383:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2970 on theBenchmark for (2970ds/244Mi)
% 22.01/3.49 % (2514058)Refutation not found, incomplete strategy
% 22.01/3.49 % (2514058)------------------------------
% 22.01/3.49 % (2514058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.01/3.49 % (2514058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.01/3.49 % (2514058)CaDiCaL version: 2.1.3
% 22.01/3.49 % (2514058)Termination reason: Refutation not found, incomplete strategy
% 22.01/3.49 % (2514058)Time elapsed: 0.001 s
% 22.01/3.49 % (2514058)Peak memory usage: 12 MB
% 22.01/3.49 % (2514058)Instructions burned: 3 (million)
% 22.01/3.49 % (2514058)------------------------------
% 22.01/3.49 % (2514058)------------------------------
% 22.01/3.49 % (2514060)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1333908607:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2970 on theBenchmark for (2970ds/113Mi)
% 22.01/3.49 % (2514060)Refutation not found, incomplete strategy
% 22.01/3.49 % (2514060)------------------------------
% 22.01/3.49 % (2514060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.01/3.49 % (2514060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.01/3.49 % (2514060)CaDiCaL version: 2.1.3
% 22.01/3.49 % (2514060)Termination reason: Refutation not found, incomplete strategy
% 22.01/3.49 % (2514060)Time elapsed: 0.001 s
% 22.01/3.49 % (2514060)Peak memory usage: 12 MB
% 22.01/3.49 % (2514060)Instructions burned: 2 (million)
% 22.01/3.49 % (2514060)------------------------------
% 22.01/3.49 % (2514060)------------------------------
% 22.01/3.49 % (2514062)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3207346650:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/7795Mi)
% 22.01/3.49 % (2514062)Refutation not found, incomplete strategy
% 22.01/3.49 % (2514062)------------------------------
% 22.01/3.49 % (2514062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.01/3.49 % (2514062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.01/3.49 % (2514062)CaDiCaL version: 2.1.3
% 22.01/3.49 % (2514062)Termination reason: Refutation not found, incomplete strategy
% 22.01/3.49 % (2514062)Time elapsed: 0.0000 s
% 22.01/3.49 % (2514062)Peak memory usage: 11 MB
% 22.01/3.49 % (2514062)Instructions burned: 1 (million)
% 22.01/3.49 % (2514062)------------------------------
% 22.01/3.49 % (2514062)------------------------------
% 22.01/3.49 % (2514064)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2540769047:st=2:i=5026:sd=1:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/5026Mi)
% 23.13/3.68 % (2514064)Refutation not found, incomplete strategy
% 23.13/3.68 % (2514064)------------------------------
% 23.13/3.68 % (2514064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.13/3.68 % (2514064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/3.68 % (2514064)CaDiCaL version: 2.1.3
% 23.13/3.68 % (2514064)Termination reason: Refutation not found, incomplete strategy
% 23.13/3.68 % (2514064)Time elapsed: 0.001 s
% 23.13/3.68 % (2514064)Peak memory usage: 11 MB
% 23.13/3.68 % (2514064)Instructions burned: 1 (million)
% 23.13/3.68 % (2514064)------------------------------
% 23.13/3.68 % (2514064)------------------------------
% 23.13/3.68 % (2514035)Instruction limit reached!
% 23.13/3.68 % (2514035)------------------------------
% 23.13/3.68 % (2514035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.13/3.68 % (2514035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/3.68 % (2514035)CaDiCaL version: 2.1.3
% 23.13/3.68 % (2514035)Termination reason: Instruction limit
% 23.13/3.68 % (2514035)Termination phase: Saturation
% 23.13/3.68 % (2514035)Time elapsed: 0.373 s
% 23.13/3.68 % (2514035)Peak memory usage: 13 MB
% 23.13/3.68 % (2514035)Instructions burned: 843 (million)
% 23.13/3.68 % (2514066)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 23.13/3.68 % (2514066)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2584928712:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2969 on theBenchmark for (2969ds/763Mi)
% 23.13/3.68 % (2514066)Refutation not found, incomplete strategy
% 23.13/3.68 % (2514066)------------------------------
% 23.13/3.68 % (2514066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.13/3.68 % (2514066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/3.68 % (2514066)CaDiCaL version: 2.1.3
% 23.13/3.68 % (2514066)Termination reason: Refutation not found, incomplete strategy
% 23.13/3.68 % (2514066)Time elapsed: 0.001 s
% 23.13/3.68 % (2514066)Peak memory usage: 11 MB
% 23.13/3.68 % (2514066)Instructions burned: 1 (million)
% 23.13/3.68 % (2514066)------------------------------
% 23.13/3.68 % (2514066)------------------------------
% 23.13/3.68 % (2514067)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3197300636:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/1144Mi)
% 23.13/3.68 % (2514067)Refutation not found, incomplete strategy
% 23.13/3.68 % (2514067)------------------------------
% 23.13/3.68 % (2514067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.13/3.68 % (2514067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/3.68 % (2514067)CaDiCaL version: 2.1.3
% 23.13/3.68 % (2514067)Termination reason: Refutation not found, incomplete strategy
% 23.13/3.68 % (2514067)Time elapsed: 0.001 s
% 23.13/3.68 % (2514067)Peak memory usage: 11 MB
% 23.13/3.68 % (2514067)Instructions burned: 1 (million)
% 23.13/3.68 % (2514067)------------------------------
% 23.13/3.68 % (2514067)------------------------------
% 23.13/3.68 % (2514069)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.13/3.68 % (2514069)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=504444620:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2969 on theBenchmark for (2969ds/52Mi)
% 23.13/3.68 % (2514071)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=4263056319:i=1724:fsr=off:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/1724Mi)
% 23.13/3.68 % (2514069)Instruction limit reached!
% 23.13/3.68 % (2514069)------------------------------
% 23.13/3.68 % (2514069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.13/3.68 % (2514069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/3.68 % (2514069)CaDiCaL version: 2.1.3
% 23.13/3.68 % (2514069)Termination reason: Instruction limit
% 23.13/3.68 % (2514069)Termination phase: Saturation
% 23.13/3.68 % (2514069)Time elapsed: 0.019 s
% 23.13/3.68 % (2514069)Peak memory usage: 12 MB
% 23.13/3.68 % (2514069)Instructions burned: 52 (million)
% 23.13/3.68 % (2514074)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=591236593:i=439:add=on:slsql=off:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/439Mi)
% 24.49/3.99 % (2514052)Instruction limit reached!
% 24.49/3.99 % (2514052)------------------------------
% 24.49/3.99 % (2514052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.49/3.99 % (2514052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.49/3.99 % (2514052)CaDiCaL version: 2.1.3
% 24.49/3.99 % (2514052)Termination reason: Instruction limit
% 24.49/3.99 % (2514052)Termination phase: Saturation
% 24.49/3.99 % (2514052)Time elapsed: 0.249 s
% 24.49/3.99 % (2514052)Peak memory usage: 13 MB
% 24.49/3.99 % (2514052)Instructions burned: 593 (million)
% 24.49/3.99 % (2514076)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=653255683:i=6395:sd=1:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/6395Mi)
% 24.49/3.99 % (2514076)Refutation not found, incomplete strategy
% 24.49/3.99 % (2514076)------------------------------
% 24.49/3.99 % (2514076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.49/3.99 % (2514076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.49/3.99 % (2514076)CaDiCaL version: 2.1.3
% 24.49/3.99 % (2514076)Termination reason: Refutation not found, incomplete strategy
% 24.49/3.99 % (2514076)Time elapsed: 0.001 s
% 24.49/3.99 % (2514076)Peak memory usage: 11 MB
% 24.49/3.99 % (2514076)Instructions burned: 1 (million)
% 24.49/3.99 % (2514076)------------------------------
% 24.49/3.99 % (2514076)------------------------------
% 24.49/3.99 % (2514078)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 24.49/3.99 % (2514078)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3905692963:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/6762Mi)
% 24.49/3.99 % (2514078)Refutation not found, incomplete strategy
% 24.49/3.99 % (2514078)------------------------------
% 24.49/3.99 % (2514078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.49/3.99 % (2514078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.49/3.99 % (2514078)CaDiCaL version: 2.1.3
% 24.49/3.99 % (2514078)Termination reason: Refutation not found, incomplete strategy
% 24.49/3.99 % (2514078)Time elapsed: 0.001 s
% 24.49/3.99 % (2514078)Peak memory usage: 11 MB
% 24.49/3.99 % (2514078)Instructions burned: 1 (million)
% 24.49/3.99 % (2514078)------------------------------
% 24.49/3.99 % (2514078)------------------------------
% 24.49/3.99 % (2514080)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 24.49/3.99 % (2514080)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=3574220483:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2967 on theBenchmark for (2967ds/376Mi)
% 24.49/3.99 % (2514056)Instruction limit reached!
% 24.49/3.99 % (2514056)------------------------------
% 24.49/3.99 % (2514056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.49/3.99 % (2514056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.49/3.99 % (2514056)CaDiCaL version: 2.1.3
% 24.49/3.99 % (2514056)Termination reason: Instruction limit
% 24.49/3.99 % (2514056)Termination phase: Saturation
% 24.49/3.99 % (2514056)Time elapsed: 0.287 s
% 24.49/3.99 % (2514056)Peak memory usage: 13 MB
% 24.49/3.99 % (2514056)Instructions burned: 1001 (million)
% 24.49/3.99 % (2514082)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=3778228733:i=965:bd=all:ins=4:rtra=on_2967 on theBenchmark for (2967ds/965Mi)
% 24.49/3.99 % (2514074)Instruction limit reached!
% 24.49/3.99 % (2514074)------------------------------
% 24.49/3.99 % (2514074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.49/3.99 % (2514074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.49/3.99 % (2514074)CaDiCaL version: 2.1.3
% 24.49/3.99 % (2514074)Termination reason: Instruction limit
% 24.49/3.99 % (2514074)Termination phase: Saturation
% 24.49/3.99 % (2514074)Time elapsed: 0.135 s
% 24.49/3.99 % (2514074)Peak memory usage: 13 MB
% 24.49/3.99 % (2514074)Instructions burned: 439 (million)
% 24.49/3.99 % (2514084)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3922061274:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/5013Mi)
% 24.49/3.99 % (2514084)Refutation not found, incomplete strategy
% 24.49/3.99 % (2514084)------------------------------
% 27.57/4.18 % (2514084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.57/4.18 % (2514084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.18 % (2514084)CaDiCaL version: 2.1.3
% 27.57/4.18 % (2514084)Termination reason: Refutation not found, incomplete strategy
% 27.57/4.18 % (2514084)Time elapsed: 0.001 s
% 27.57/4.18 % (2514084)Peak memory usage: 11 MB
% 27.57/4.18 % (2514084)Instructions burned: 1 (million)
% 27.57/4.18 % (2514084)------------------------------
% 27.57/4.18 % (2514084)------------------------------
% 27.57/4.18 % (2514086)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=4267007065:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2967 on theBenchmark for (2967ds/1583Mi)
% 27.57/4.18 % (2514080)Instruction limit reached!
% 27.57/4.18 % (2514080)------------------------------
% 27.57/4.18 % (2514080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.57/4.18 % (2514080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.18 % (2514080)CaDiCaL version: 2.1.3
% 27.57/4.18 % (2514080)Termination reason: Instruction limit
% 27.57/4.18 % (2514080)Termination phase: Saturation
% 27.57/4.18 % (2514080)Time elapsed: 0.190 s
% 27.57/4.18 % (2514080)Peak memory usage: 14 MB
% 27.57/4.18 % (2514080)Instructions burned: 376 (million)
% 27.57/4.18 % (2514088)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 27.57/4.18 % (2514088)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 27.57/4.18 % (2514088)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
% 27.57/4.18 % (2514088)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 27.57/4.18 % (2514088)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=3697027789: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_2965 on theBenchmark for (2965ds/1774Mi)
% 27.57/4.18 % (2514088)Refutation not found, incomplete strategy
% 27.57/4.18 % (2514088)------------------------------
% 27.57/4.18 % (2514088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.57/4.18 % (2514088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.18 % (2514088)CaDiCaL version: 2.1.3
% 27.57/4.18 % (2514088)Termination reason: Refutation not found, incomplete strategy
% 27.57/4.18 % (2514088)Time elapsed: 0.001 s
% 27.57/4.18 % (2514088)Peak memory usage: 12 MB
% 27.57/4.18 % (2514088)Instructions burned: 1 (million)
% 27.57/4.18 % (2514088)------------------------------
% 27.57/4.18 % (2514088)------------------------------
% 27.57/4.18 % (2514082)Instruction limit reached!
% 27.57/4.18 % (2514082)------------------------------
% 27.57/4.18 % (2514082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.57/4.18 % (2514082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.18 % (2514082)CaDiCaL version: 2.1.3
% 27.57/4.18 % (2514082)Termination reason: Instruction limit
% 27.57/4.18 % (2514082)Termination phase: Saturation
% 27.57/4.18 % (2514082)Time elapsed: 0.209 s
% 27.57/4.18 % (2514082)Peak memory usage: 15 MB
% 27.57/4.18 % (2514082)Instructions burned: 967 (million)
% 27.57/4.18 % (2514090)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1602833083:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/515Mi)
% 27.57/4.18 % (2514090)Refutation not found, incomplete strategy
% 27.57/4.18 % (2514090)------------------------------
% 27.57/4.18 % (2514090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.57/4.18 % (2514090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.18 % (2514090)CaDiCaL version: 2.1.3
% 27.57/4.18 % (2514090)Termination reason: Refutation not found, incomplete strategy
% 27.57/4.18 % (2514090)Time elapsed: 0.001 s
% 27.57/4.18 % (2514090)Peak memory usage: 12 MB
% 27.57/4.18 % (2514090)Instructions burned: 1 (million)
% 27.57/4.18 % (2514090)------------------------------
% 27.57/4.18 % (2514090)------------------------------
% 27.57/4.18 % (2514091)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
% 28.34/4.39 % (2514091)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=3385601663:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2965 on theBenchmark for (2965ds/1297Mi)
% 28.34/4.39 % (2514093)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=3354316151:s2a=on:i=611:rtra=on:gsp=on_2965 on theBenchmark for (2965ds/611Mi)
% 28.34/4.39 % (2514093)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 28.34/4.39 % (2513823)Instruction limit reached!
% 28.34/4.39 % (2513823)------------------------------
% 28.34/4.39 % (2513823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.34/4.39 % (2513823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.34/4.39 % (2513823)CaDiCaL version: 2.1.3
% 28.34/4.39 % (2513823)Termination reason: Instruction limit
% 28.34/4.39 % (2513823)Termination phase: Saturation
% 28.34/4.39 % (2513823)Time elapsed: 2.992 s
% 28.34/4.39 % (2513823)Peak memory usage: 17 MB
% 28.34/4.39 % (2513823)Instructions burned: 9842 (million)
% 28.34/4.39 % (2514096)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.34/4.39 % (2514096)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=914959681:i=72:bd=all:rtra=on_2964 on theBenchmark for (2964ds/72Mi)
% 28.34/4.39 % (2514096)Refutation not found, incomplete strategy
% 28.34/4.39 % (2514096)------------------------------
% 28.34/4.39 % (2514096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.34/4.39 % (2514096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.34/4.39 % (2514096)CaDiCaL version: 2.1.3
% 28.34/4.39 % (2514096)Termination reason: Refutation not found, incomplete strategy
% 28.34/4.39 % (2514096)Time elapsed: 0.002 s
% 28.34/4.39 % (2514096)Peak memory usage: 12 MB
% 28.34/4.39 % (2514096)Instructions burned: 2 (million)
% 28.34/4.39 % (2514096)------------------------------
% 28.34/4.39 % (2514096)------------------------------
% 28.34/4.39 % (2514098)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=2616749505:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2963 on theBenchmark for (2963ds/6580Mi)
% 28.34/4.39 % (2514091)Instruction limit reached!
% 28.34/4.39 % (2514091)------------------------------
% 28.34/4.39 % (2514091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.34/4.39 % (2514091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.34/4.39 % (2514091)CaDiCaL version: 2.1.3
% 28.34/4.39 % (2514091)Termination reason: Instruction limit
% 28.34/4.39 % (2514091)Termination phase: Saturation
% 28.34/4.39 % (2514091)Time elapsed: 0.274 s
% 28.34/4.39 % (2514091)Peak memory usage: 13 MB
% 28.34/4.39 % (2514091)Instructions burned: 1301 (million)
% 28.34/4.39 % (2514100)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1931110080:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/6209Mi)
% 28.34/4.39 % (2514100)Refutation not found, incomplete strategy
% 28.34/4.39 % (2514100)------------------------------
% 28.34/4.39 % (2514100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.34/4.39 % (2514100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.34/4.39 % (2514100)CaDiCaL version: 2.1.3
% 28.34/4.39 % (2514100)Termination reason: Refutation not found, incomplete strategy
% 28.34/4.39 % (2514100)Time elapsed: 0.0000 s
% 28.34/4.39 % (2514100)Peak memory usage: 11 MB
% 28.34/4.39 % (2514100)Instructions burned: 1 (million)
% 28.34/4.39 % (2514100)------------------------------
% 28.34/4.39 % (2514100)------------------------------
% 28.34/4.39 % (2514102)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=43822945:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2962 on theBenchmark for (2962ds/1003Mi)
% 28.34/4.39 % (2514093)Instruction limit reached!
% 28.34/4.39 % (2514093)------------------------------
% 28.34/4.39 % (2514093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.34/4.39 % (2514093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.71 % (2514093)CaDiCaL version: 2.1.3
% 30.76/4.71 % (2514093)Termination reason: Instruction limit
% 30.76/4.71 % (2514093)Termination phase: Saturation
% 30.76/4.71 % (2514093)Time elapsed: 0.294 s
% 30.76/4.71 % (2514093)Peak memory usage: 13 MB
% 30.76/4.71 % (2514093)Instructions burned: 613 (million)
% 30.76/4.71 % (2514104)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 30.76/4.71 % (2514104)ott+1002_16_sil=128000:si=on:random_seed=1305457458:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2962 on theBenchmark for (2962ds/409Mi)
% 30.76/4.71 % (2514071)Instruction limit reached!
% 30.76/4.71 % (2514071)------------------------------
% 30.76/4.71 % (2514071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.71 % (2514071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.71 % (2514071)CaDiCaL version: 2.1.3
% 30.76/4.71 % (2514071)Termination reason: Instruction limit
% 30.76/4.71 % (2514071)Termination phase: Saturation
% 30.76/4.71 % (2514071)Time elapsed: 0.745 s
% 30.76/4.71 % (2514071)Peak memory usage: 13 MB
% 30.76/4.71 % (2514071)Instructions burned: 1724 (million)
% 30.76/4.71 % (2514106)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=3186105098:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2961 on theBenchmark for (2961ds/403Mi)
% 30.76/4.71 % (2514106)Refutation not found, incomplete strategy
% 30.76/4.71 % (2514106)------------------------------
% 30.76/4.71 % (2514106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.71 % (2514106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.71 % (2514106)CaDiCaL version: 2.1.3
% 30.76/4.71 % (2514106)Termination reason: Refutation not found, incomplete strategy
% 30.76/4.71 % (2514106)Time elapsed: 0.001 s
% 30.76/4.71 % (2514106)Peak memory usage: 12 MB
% 30.76/4.71 % (2514106)Instructions burned: 1 (million)
% 30.76/4.71 % (2514106)------------------------------
% 30.76/4.71 % (2514106)------------------------------
% 30.76/4.71 % (2514108)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=1116313426:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2961 on theBenchmark for (2961ds/6843Mi)
% 30.76/4.71 % (2514108)Refutation not found, incomplete strategy
% 30.76/4.71 % (2514108)------------------------------
% 30.76/4.71 % (2514108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.71 % (2514108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.71 % (2514108)CaDiCaL version: 2.1.3
% 30.76/4.71 % (2514108)Termination reason: Refutation not found, incomplete strategy
% 30.76/4.71 % (2514108)Time elapsed: 0.001 s
% 30.76/4.71 % (2514108)Peak memory usage: 11 MB
% 30.76/4.71 % (2514108)Instructions burned: 1 (million)
% 30.76/4.71 % (2514108)------------------------------
% 30.76/4.71 % (2514108)------------------------------
% 30.76/4.71 % (2514110)lrs+10_2:1_si=on:random_seed=3658760529:s2a=on:i=506:rtra=on:fe=abstraction_2961 on theBenchmark for (2961ds/506Mi)
% 30.76/4.71 % (2514104)Instruction limit reached!
% 30.76/4.71 % (2514104)------------------------------
% 30.76/4.71 % (2514104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.71 % (2514104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.71 % (2514104)CaDiCaL version: 2.1.3
% 30.76/4.71 % (2514104)Termination reason: Instruction limit
% 30.76/4.71 % (2514104)Termination phase: Saturation
% 30.76/4.71 % (2514104)Time elapsed: 0.145 s
% 30.76/4.71 % (2514104)Peak memory usage: 13 MB
% 30.76/4.71 % (2514104)Instructions burned: 410 (million)
% 30.76/4.71 % (2514086)Instruction limit reached!
% 30.76/4.71 % (2514086)------------------------------
% 30.76/4.71 % (2514086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.71 % (2514086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.71 % (2514086)CaDiCaL version: 2.1.3
% 30.76/4.71 % (2514086)Termination reason: Instruction limit
% 30.76/4.71 % (2514086)Termination phase: Saturation
% 30.76/4.71 % (2514086)Time elapsed: 0.672 s
% 30.76/4.71 % (2514086)Peak memory usage: 13 MB
% 30.76/4.71 % (2514086)Instructions burned: 1583 (million)
% 30.76/4.71 % (2514112)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=1836485360:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2960 on theBenchmark for (2960ds/888Mi)
% 31.73/4.81 % (2514102)Instruction limit reached!
% 31.73/4.81 % (2514102)------------------------------
% 31.73/4.81 % (2514102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.73/4.81 % (2514102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.73/4.81 % (2514102)CaDiCaL version: 2.1.3
% 31.73/4.81 % (2514102)Termination reason: Instruction limit
% 31.73/4.81 % (2514102)Termination phase: Saturation
% 31.73/4.81 % (2514102)Time elapsed: 0.208 s
% 31.73/4.81 % (2514102)Peak memory usage: 14 MB
% 31.73/4.81 % (2514102)Instructions burned: 1008 (million)
% 31.73/4.81 % (2514113)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 31.73/4.81 % (2514113)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=3125946760:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2960 on theBenchmark for (2960ds/416Mi)
% 31.73/4.81 % (2514115)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=3584831702: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_2960 on theBenchmark for (2960ds/13534Mi)
% 31.73/4.81 % (2514115)Refutation not found, incomplete strategy
% 31.73/4.81 % (2514115)------------------------------
% 31.73/4.81 % (2514115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.73/4.81 % (2514115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.73/4.81 % (2514115)CaDiCaL version: 2.1.3
% 31.73/4.81 % (2514115)Termination reason: Refutation not found, incomplete strategy
% 31.73/4.81 % (2514115)Time elapsed: 0.0000 s
% 31.73/4.81 % (2514115)Peak memory usage: 11 MB
% 31.73/4.81 % (2514115)Instructions burned: 1 (million)
% 31.73/4.81 % (2514115)------------------------------
% 31.73/4.81 % (2514115)------------------------------
% 31.73/4.81 % (2514118)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 31.73/4.81 % (2514118)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=4073521380:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2960 on theBenchmark for (2960ds/206Mi)
% 31.73/4.81 % (2514118)Instruction limit reached!
% 31.73/4.81 % (2514118)------------------------------
% 31.73/4.81 % (2514118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.73/4.81 % (2514118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.73/4.81 % (2514118)CaDiCaL version: 2.1.3
% 31.73/4.81 % (2514118)Termination reason: Instruction limit
% 31.73/4.81 % (2514118)Termination phase: Saturation
% 31.73/4.81 % (2514118)Time elapsed: 0.051 s
% 31.73/4.81 % (2514118)Peak memory usage: 12 MB
% 31.73/4.81 % (2514118)Instructions burned: 211 (million)
% 31.73/4.81 % (2514120)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=3210195803:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2959 on theBenchmark for (2959ds/2295Mi)
% 31.73/4.81 % (2514110)Instruction limit reached!
% 31.73/4.81 % (2514110)------------------------------
% 31.73/4.81 % (2514110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.73/4.81 % (2514110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.73/4.81 % (2514110)CaDiCaL version: 2.1.3
% 31.73/4.81 % (2514110)Termination reason: Instruction limit
% 31.73/4.81 % (2514110)Termination phase: Saturation
% 31.73/4.81 % (2514110)Time elapsed: 0.221 s
% 31.73/4.81 % (2514110)Peak memory usage: 13 MB
% 31.73/4.81 % (2514110)Instructions burned: 507 (million)
% 31.73/4.81 % (2514122)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=1748932924:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2958 on theBenchmark for (2958ds/637Mi)
% 31.73/4.81 % (2514113)Instruction limit reached!
% 31.73/4.81 % (2514113)------------------------------
% 31.73/4.81 % (2514113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.73/4.81 % (2514113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.73/4.81 % (2514113)CaDiCaL version: 2.1.3
% 31.73/4.81 % (2514113)Termination reason: Instruction limit
% 31.73/4.81 % (2514113)Termination phase: Saturation
% 36.73/5.50 % (2514113)Time elapsed: 0.196 s
% 36.73/5.50 % (2514113)Peak memory usage: 14 MB
% 36.73/5.50 % (2514113)Instructions burned: 416 (million)
% 36.73/5.50 % (2514008)Instruction limit reached!
% 36.73/5.50 % (2514008)------------------------------
% 36.73/5.50 % (2514008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.73/5.50 % (2514008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.73/5.50 % (2514008)CaDiCaL version: 2.1.3
% 36.73/5.50 % (2514008)Termination reason: Instruction limit
% 36.73/5.50 % (2514008)Termination phase: Saturation
% 36.73/5.50 % (2514008)Time elapsed: 1.814 s
% 36.73/5.50 % (2514008)Peak memory usage: 17 MB
% 36.73/5.50 % (2514008)Instructions burned: 4386 (million)
% 36.73/5.50 % (2514124)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=2241564846:hsq=on:i=667:rtra=on:ixr=off_2958 on theBenchmark for (2958ds/667Mi)
% 36.73/5.50 % (2514125)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=801573316:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2958 on theBenchmark for (2958ds/1801Mi)
% 36.73/5.50 % (2514112)Instruction limit reached!
% 36.73/5.50 % (2514112)------------------------------
% 36.73/5.50 % (2514112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.73/5.50 % (2514112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.73/5.50 % (2514112)CaDiCaL version: 2.1.3
% 36.73/5.50 % (2514112)Termination reason: Instruction limit
% 36.73/5.50 % (2514112)Termination phase: Saturation
% 36.73/5.50 % (2514112)Time elapsed: 0.359 s
% 36.73/5.50 % (2514112)Peak memory usage: 13 MB
% 36.73/5.50 % (2514112)Instructions burned: 890 (million)
% 36.73/5.50 % (2514128)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=3895702878:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2956 on theBenchmark for (2956ds/555Mi)
% 36.73/5.50 % (2514122)Instruction limit reached!
% 36.73/5.50 % (2514122)------------------------------
% 36.73/5.50 % (2514122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.73/5.50 % (2514122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.73/5.50 % (2514122)CaDiCaL version: 2.1.3
% 36.73/5.50 % (2514122)Termination reason: Instruction limit
% 36.73/5.50 % (2514122)Termination phase: Saturation
% 36.73/5.50 % (2514122)Time elapsed: 0.296 s
% 36.73/5.50 % (2514122)Peak memory usage: 14 MB
% 36.73/5.50 % (2514122)Instructions burned: 638 (million)
% 36.73/5.50 % (2514130)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=447280716:i=88:s2at=3:nm=2:rtra=on:rawr=on_2955 on theBenchmark for (2955ds/88Mi)
% 36.73/5.50 % (2514124)Instruction limit reached!
% 36.73/5.50 % (2514124)------------------------------
% 36.73/5.50 % (2514124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.73/5.50 % (2514124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.73/5.50 % (2514124)CaDiCaL version: 2.1.3
% 36.73/5.50 % (2514124)Termination reason: Instruction limit
% 36.73/5.50 % (2514124)Termination phase: Saturation
% 36.73/5.50 % (2514124)Time elapsed: 0.267 s
% 36.73/5.50 % (2514124)Peak memory usage: 13 MB
% 36.73/5.50 % (2514124)Instructions burned: 667 (million)
% 36.73/5.50 % (2514120)Instruction limit reached!
% 36.73/5.50 % (2514120)------------------------------
% 36.73/5.50 % (2514120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.73/5.50 % (2514120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.73/5.50 % (2514120)CaDiCaL version: 2.1.3
% 36.73/5.50 % (2514120)Termination reason: Instruction limit
% 36.73/5.50 % (2514120)Termination phase: Saturation
% 36.73/5.50 % (2514120)Time elapsed: 0.426 s
% 36.73/5.50 % (2514120)Peak memory usage: 13 MB
% 36.73/5.50 % (2514120)Instructions burned: 2296 (million)
% 36.73/5.50 % (2514132)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=607706728:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2955 on theBenchmark for (2955ds/280Mi)
% 36.73/5.50 % (2514130)Instruction limit reached!
% 36.73/5.50 % (2514130)------------------------------
% 36.73/5.50 % (2514130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.73/5.50 % (2514130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.73/5.50 % (2514130)CaDiCaL version: 2.1.3
% 36.73/5.50 % (2514130)Termination reason: Instruction limit
% 36.73/5.59 % (2514130)Termination phase: Saturation
% 36.73/5.59 % (2514130)Time elapsed: 0.038 s
% 36.73/5.59 % (2514130)Peak memory usage: 13 MB
% 36.73/5.59 % (2514130)Instructions burned: 90 (million)
% 36.73/5.59 % (2514133)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=2076557794:s2a=on:i=3166:bd=preordered:rtra=on_2955 on theBenchmark for (2955ds/3166Mi)
% 36.73/5.59 % (2514135)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 36.73/5.59 % (2514135)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=3620182869:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2955 on theBenchmark for (2955ds/4201Mi)
% 36.73/5.59 % (2514135)Refutation not found, incomplete strategy
% 36.73/5.59 % (2514135)------------------------------
% 36.73/5.59 % (2514135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.73/5.59 % (2514135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.73/5.59 % (2514135)CaDiCaL version: 2.1.3
% 36.73/5.59 % (2514135)Termination reason: Refutation not found, incomplete strategy
% 36.73/5.59 % (2514135)Time elapsed: 0.002 s
% 36.73/5.59 % (2514135)Peak memory usage: 12 MB
% 36.73/5.59 % (2514135)Instructions burned: 4 (million)
% 36.73/5.59 % (2514135)------------------------------
% 36.73/5.59 % (2514135)------------------------------
% 36.73/5.59 % (2514138)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3440872902:i=2352:rtra=on:ixr=off_2954 on theBenchmark for (2954ds/2352Mi)
% 36.73/5.59 % (2514128)Instruction limit reached!
% 36.73/5.59 % (2514128)------------------------------
% 36.73/5.59 % (2514128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.73/5.59 % (2514128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.73/5.59 % (2514128)CaDiCaL version: 2.1.3
% 36.73/5.59 % (2514128)Termination reason: Instruction limit
% 36.73/5.59 % (2514128)Termination phase: Saturation
% 36.73/5.59 % (2514128)Time elapsed: 0.210 s
% 36.73/5.59 % (2514128)Peak memory usage: 11 MB
% 36.73/5.59 % (2514128)Instructions burned: 556 (million)
% 36.73/5.59 % (2514140)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 36.73/5.59 % (2514140)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=3283345057:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2954 on theBenchmark for (2954ds/452Mi)
% 36.73/5.59 % (2514140)Refutation not found, incomplete strategy
% 36.73/5.59 % (2514140)------------------------------
% 36.73/5.59 % (2514140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.73/5.59 % (2514140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.73/5.59 % (2514140)CaDiCaL version: 2.1.3
% 36.73/5.59 % (2514140)Termination reason: Refutation not found, incomplete strategy
% 36.73/5.59 % (2514140)Time elapsed: 0.001 s
% 36.73/5.59 % (2514140)Peak memory usage: 11 MB
% 36.73/5.59 % (2514140)Instructions burned: 2 (million)
% 36.73/5.59 % (2514140)------------------------------
% 36.73/5.59 % (2514140)------------------------------
% 36.73/5.59 % (2514142)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 36.73/5.59 % (2514142)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 36.73/5.59 % (2514142)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=143578787:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2954 on theBenchmark for (2954ds/483Mi)
% 36.73/5.59 % (2514142)Refutation not found, incomplete strategy
% 36.73/5.59 % (2514142)------------------------------
% 36.73/5.59 % (2514142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.73/5.59 % (2514142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.73/5.59 % (2514142)CaDiCaL version: 2.1.3
% 36.73/5.59 % (2514142)Termination reason: Refutation not found, incomplete strategy
% 36.73/5.59 % (2514142)Time elapsed: 0.001 s
% 36.73/5.59 % (2514142)Peak memory usage: 12 MB
% 36.73/5.59 % (2514142)Instructions burned: 1 (million)
% 36.73/5.59 % (2514142)------------------------------
% 36.73/5.59 % (2514142)------------------------------
% 38.61/5.81 % (2514132)Instruction limit reached!
% 38.61/5.81 % (2514132)------------------------------
% 38.61/5.81 % (2514132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.61/5.81 % (2514132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.61/5.81 % (2514132)CaDiCaL version: 2.1.3
% 38.61/5.81 % (2514132)Termination reason: Instruction limit
% 38.61/5.81 % (2514132)Termination phase: Saturation
% 38.61/5.81 % (2514132)Time elapsed: 0.124 s
% 38.61/5.81 % (2514132)Peak memory usage: 12 MB
% 38.61/5.81 % (2514132)Instructions burned: 282 (million)
% 38.61/5.81 % (2514144)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3010297200:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2954 on theBenchmark for (2954ds/168Mi)
% 38.61/5.81 % (2514145)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=178930721: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_2954 on theBenchmark for (2954ds/17240Mi)
% 38.61/5.81 % (2514144)Instruction limit reached!
% 38.61/5.81 % (2514144)------------------------------
% 38.61/5.81 % (2514144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.61/5.81 % (2514144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.61/5.81 % (2514144)CaDiCaL version: 2.1.3
% 38.61/5.81 % (2514144)Termination reason: Instruction limit
% 38.61/5.81 % (2514144)Termination phase: Saturation
% 38.61/5.81 % (2514144)Time elapsed: 0.077 s
% 38.61/5.81 % (2514144)Peak memory usage: 12 MB
% 38.61/5.81 % (2514144)Instructions burned: 169 (million)
% 38.61/5.81 % (2514148)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=4170156497:i=2022:fsr=off:rtra=on:ixr=off_2953 on theBenchmark for (2953ds/2022Mi)
% 38.61/5.81 % (2513974)Instruction limit reached!
% 38.61/5.81 % (2513974)------------------------------
% 38.61/5.81 % (2513974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.61/5.81 % (2513974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.61/5.81 % (2513974)CaDiCaL version: 2.1.3
% 38.61/5.81 % (2513974)Termination reason: Instruction limit
% 38.61/5.81 % (2513974)Termination phase: Saturation
% 38.61/5.81 % (2513974)Time elapsed: 3.048 s
% 38.61/5.81 % (2513974)Peak memory usage: 21 MB
% 38.61/5.81 % (2513974)Instructions burned: 6360 (million)
% 38.61/5.81 % (2514150)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=1021501470:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2950 on theBenchmark for (2950ds/2274Mi)
% 38.61/5.81 % (2514125)Instruction limit reached!
% 38.61/5.81 % (2514125)------------------------------
% 38.61/5.81 % (2514125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.61/5.81 % (2514125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.61/5.81 % (2514125)CaDiCaL version: 2.1.3
% 38.61/5.81 % (2514125)Termination reason: Instruction limit
% 38.61/5.81 % (2514125)Termination phase: Saturation
% 38.61/5.81 % (2514125)Time elapsed: 0.878 s
% 38.61/5.81 % (2514125)Peak memory usage: 18 MB
% 38.61/5.81 % (2514125)Instructions burned: 1802 (million)
% 38.61/5.81 % (2514152)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3376154470:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2949 on theBenchmark for (2949ds/555Mi)
% 38.61/5.81 % (2514133)Instruction limit reached!
% 38.61/5.81 % (2514133)------------------------------
% 38.61/5.81 % (2514133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.61/5.81 % (2514133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.61/5.81 % (2514133)CaDiCaL version: 2.1.3
% 38.61/5.81 % (2514133)Termination reason: Instruction limit
% 38.61/5.81 % (2514133)Termination phase: Saturation
% 38.61/5.81 % (2514133)Time elapsed: 0.698 s
% 38.61/5.81 % (2514133)Peak memory usage: 14 MB
% 38.61/5.81 % (2514133)Instructions burned: 3167 (million)
% 38.61/5.81 % (2514154)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=1034968664:avsq=on:i=2220:rtra=on_2948 on theBenchmark for (2948ds/2220Mi)
% 38.61/5.81 % (2514152)Instruction limit reached!
% 38.61/5.81 % (2514152)------------------------------
% 38.61/5.81 % (2514152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.88/6.03 % (2514152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.88/6.03 % (2514152)CaDiCaL version: 2.1.3
% 38.88/6.03 % (2514152)Termination reason: Instruction limit
% 38.88/6.03 % (2514152)Termination phase: Saturation
% 38.88/6.03 % (2514152)Time elapsed: 0.175 s
% 38.88/6.03 % (2514152)Peak memory usage: 13 MB
% 38.88/6.03 % (2514152)Instructions burned: 558 (million)
% 38.88/6.03 % (2514156)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3252303238:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2947 on theBenchmark for (2947ds/715Mi)
% 38.88/6.03 % (2514156)Refutation not found, incomplete strategy
% 38.88/6.03 % (2514156)------------------------------
% 38.88/6.03 % (2514156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.88/6.03 % (2514156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.88/6.03 % (2514156)CaDiCaL version: 2.1.3
% 38.88/6.03 % (2514156)Termination reason: Refutation not found, incomplete strategy
% 38.88/6.03 % (2514156)Time elapsed: 0.001 s
% 38.88/6.03 % (2514156)Peak memory usage: 11 MB
% 38.88/6.03 % (2514156)Instructions burned: 2 (million)
% 38.88/6.03 % (2514156)------------------------------
% 38.88/6.03 % (2514156)------------------------------
% 38.88/6.03 % (2514158)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
% 38.88/6.03 % (2514158)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=1888164310:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2947 on theBenchmark for (2947ds/1979Mi)
% 38.88/6.03 % (2514158)Refutation not found, incomplete strategy
% 38.88/6.03 % (2514158)------------------------------
% 38.88/6.03 % (2514158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.88/6.03 % (2514158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.88/6.03 % (2514158)CaDiCaL version: 2.1.3
% 38.88/6.03 % (2514158)Termination reason: Refutation not found, incomplete strategy
% 38.88/6.03 % (2514158)Time elapsed: 0.001 s
% 38.88/6.03 % (2514158)Peak memory usage: 12 MB
% 38.88/6.03 % (2514158)Instructions burned: 1 (million)
% 38.88/6.03 % (2514158)------------------------------
% 38.88/6.03 % (2514158)------------------------------
% 38.88/6.03 % (2514160)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=4207341566:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2946 on theBenchmark for (2946ds/28911Mi)
% 38.88/6.03 % (2514160)Refutation not found, incomplete strategy
% 38.88/6.03 % (2514160)------------------------------
% 38.88/6.03 % (2514160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.88/6.03 % (2514160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.88/6.03 % (2514160)CaDiCaL version: 2.1.3
% 38.88/6.03 % (2514160)Termination reason: Refutation not found, incomplete strategy
% 38.88/6.03 % (2514160)Time elapsed: 0.001 s
% 38.88/6.03 % (2514160)Peak memory usage: 11 MB
% 38.88/6.03 % (2514160)Instructions burned: 1 (million)
% 38.88/6.03 % (2514160)------------------------------
% 38.88/6.03 % (2514160)------------------------------
% 38.88/6.03 % (2514138)Instruction limit reached!
% 38.88/6.03 % (2514138)------------------------------
% 38.88/6.03 % (2514138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.88/6.03 % (2514138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.88/6.03 % (2514138)CaDiCaL version: 2.1.3
% 38.88/6.03 % (2514138)Termination reason: Instruction limit
% 38.88/6.03 % (2514138)Termination phase: Saturation
% 38.88/6.03 % (2514138)Time elapsed: 0.834 s
% 38.88/6.03 % (2514138)Peak memory usage: 13 MB
% 38.88/6.03 % (2514138)Instructions burned: 2352 (million)
% 38.88/6.03 % (2514162)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=1481077535:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2946 on theBenchmark for (2946ds/414Mi)
% 38.88/6.03 % (2514162)Refutation not found, incomplete strategy
% 38.88/6.03 % (2514162)------------------------------
% 38.88/6.03 % (2514162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.88/6.03 % (2514162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.88/6.03 % (2514162)CaDiCaL version: 2.1.3
% 38.88/6.03 % (2514162)Termination reason: Refutation not found, incomplete strategy
% 43.53/6.55 % (2514162)Time elapsed: 0.002 s
% 43.53/6.55 % (2514162)Peak memory usage: 12 MB
% 43.53/6.55 % (2514162)Instructions burned: 3 (million)
% 43.53/6.55 % (2514162)------------------------------
% 43.53/6.55 % (2514162)------------------------------
% 43.53/6.55 % (2514163)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=4103602722:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2946 on theBenchmark for (2946ds/429Mi)
% 43.53/6.55 % (2514165)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 43.53/6.55 % (2514165)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2735963068:lrd=on:i=841:nm=0:rtra=on_2946 on theBenchmark for (2946ds/841Mi)
% 43.53/6.55 % (2514148)Instruction limit reached!
% 43.53/6.55 % (2514148)------------------------------
% 43.53/6.55 % (2514148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.53/6.55 % (2514148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/6.55 % (2514148)CaDiCaL version: 2.1.3
% 43.53/6.55 % (2514148)Termination reason: Instruction limit
% 43.53/6.55 % (2514148)Termination phase: Saturation
% 43.53/6.55 % (2514148)Time elapsed: 0.838 s
% 43.53/6.55 % (2514148)Peak memory usage: 14 MB
% 43.53/6.55 % (2514148)Instructions burned: 2023 (million)
% 43.53/6.55 % (2514154)Instruction limit reached!
% 43.53/6.55 % (2514154)------------------------------
% 43.53/6.55 % (2514154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.53/6.55 % (2514154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/6.55 % (2514154)CaDiCaL version: 2.1.3
% 43.53/6.55 % (2514154)Termination reason: Instruction limit
% 43.53/6.55 % (2514154)Termination phase: Saturation
% 43.53/6.55 % (2514154)Time elapsed: 0.355 s
% 43.53/6.55 % (2514154)Peak memory usage: 14 MB
% 43.53/6.55 % (2514154)Instructions burned: 2227 (million)
% 43.53/6.55 % (2514168)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2802299085:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2944 on theBenchmark for (2944ds/445Mi)
% 43.53/6.55 % (2514169)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=1820095876:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2944 on theBenchmark for (2944ds/1324Mi)
% 43.53/6.55 % (2514169)Refutation not found, incomplete strategy
% 43.53/6.55 % (2514169)------------------------------
% 43.53/6.55 % (2514169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.53/6.55 % (2514169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/6.55 % (2514169)CaDiCaL version: 2.1.3
% 43.53/6.55 % (2514169)Termination reason: Refutation not found, incomplete strategy
% 43.53/6.55 % (2514169)Time elapsed: 0.001 s
% 43.53/6.55 % (2514169)Peak memory usage: 12 MB
% 43.53/6.55 % (2514169)Instructions burned: 2 (million)
% 43.53/6.55 % (2514169)------------------------------
% 43.53/6.55 % (2514169)------------------------------
% 43.53/6.55 % (2514163)Instruction limit reached!
% 43.53/6.55 % (2514163)------------------------------
% 43.53/6.55 % (2514163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.53/6.55 % (2514163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/6.55 % (2514163)CaDiCaL version: 2.1.3
% 43.53/6.55 % (2514163)Termination reason: Instruction limit
% 43.53/6.55 % (2514163)Termination phase: Saturation
% 43.53/6.55 % (2514163)Time elapsed: 0.193 s
% 43.53/6.55 % (2514163)Peak memory usage: 13 MB
% 43.53/6.55 % (2514163)Instructions burned: 429 (million)
% 43.53/6.55 % (2514172)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=4185327533:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2944 on theBenchmark for (2944ds/5401Mi)
% 43.53/6.55 % (2514172)Refutation not found, incomplete strategy
% 43.53/6.55 % (2514172)------------------------------
% 43.53/6.55 % (2514172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.53/6.55 % (2514172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/6.55 % (2514172)CaDiCaL version: 2.1.3
% 43.53/6.55 % (2514172)Termination reason: Refutation not found, incomplete strategy
% 43.53/6.55 % (2514172)Time elapsed: 0.0000 s
% 43.53/6.55 % (2514172)Peak memory usage: 11 MB
% 43.53/6.55 % (2514172)Instructions burned: 1 (million)
% 43.53/6.55 % (2514172)------------------------------
% 43.53/6.55 % (2514172)------------------------------
% 43.53/6.55 % (2514173)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3724792371:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2944 on theBenchmark for (2944ds/4070Mi)
% 45.18/7.01 % (2514175)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1448845032:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2944 on theBenchmark for (2944ds/984Mi)
% 45.18/7.01 % (2514175)Refutation not found, incomplete strategy
% 45.18/7.01 % (2514175)------------------------------
% 45.18/7.01 % (2514175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.18/7.01 % (2514175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.18/7.01 % (2514175)CaDiCaL version: 2.1.3
% 45.18/7.01 % (2514175)Termination reason: Refutation not found, incomplete strategy
% 45.18/7.01 % (2514175)Time elapsed: 0.002 s
% 45.18/7.01 % (2514175)Peak memory usage: 12 MB
% 45.18/7.01 % (2514175)Instructions burned: 2 (million)
% 45.18/7.01 % (2514175)------------------------------
% 45.18/7.01 % (2514175)------------------------------
% 45.18/7.01 % (2514178)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1083035202:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2944 on theBenchmark for (2944ds/112Mi)
% 45.18/7.01 % (2514178)Refutation not found, incomplete strategy
% 45.18/7.01 % (2514178)------------------------------
% 45.18/7.01 % (2514178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.18/7.01 % (2514178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.18/7.01 % (2514178)CaDiCaL version: 2.1.3
% 45.18/7.01 % (2514178)Termination reason: Refutation not found, incomplete strategy
% 45.18/7.01 % (2514178)Time elapsed: 0.002 s
% 45.18/7.01 % (2514178)Peak memory usage: 12 MB
% 45.18/7.01 % (2514178)Instructions burned: 2 (million)
% 45.18/7.01 % (2514178)------------------------------
% 45.18/7.01 % (2514178)------------------------------
% 45.18/7.01 % (2514180)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3351020219:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2943 on theBenchmark for (2943ds/1144Mi)
% 45.18/7.01 % (2514180)Refutation not found, incomplete strategy
% 45.18/7.01 % (2514180)------------------------------
% 45.18/7.01 % (2514180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.18/7.01 % (2514180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.18/7.01 % (2514180)CaDiCaL version: 2.1.3
% 45.18/7.01 % (2514180)Termination reason: Refutation not found, incomplete strategy
% 45.18/7.01 % (2514180)Time elapsed: 0.0000 s
% 45.18/7.01 % (2514180)Peak memory usage: 12 MB
% 45.18/7.01 % (2514180)Instructions burned: 1 (million)
% 45.18/7.01 % (2514180)------------------------------
% 45.18/7.01 % (2514180)------------------------------
% 45.18/7.01 % (2514182)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=465803277:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2943 on theBenchmark for (2943ds/1352Mi)
% 45.18/7.01 % (2514165)Instruction limit reached!
% 45.18/7.01 % (2514165)------------------------------
% 45.18/7.01 % (2514165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.18/7.01 % (2514165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.18/7.01 % (2514165)CaDiCaL version: 2.1.3
% 45.18/7.01 % (2514165)Termination reason: Instruction limit
% 45.18/7.01 % (2514165)Termination phase: Saturation
% 45.18/7.01 % (2514165)Time elapsed: 0.371 s
% 45.18/7.01 % (2514165)Peak memory usage: 13 MB
% 45.18/7.01 % (2514165)Instructions burned: 843 (million)
% 45.18/7.01 % (2514184)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=2772256687:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2942 on theBenchmark for (2942ds/693Mi)
% 45.18/7.01 % (2514168)Instruction limit reached!
% 45.18/7.01 % (2514168)------------------------------
% 45.18/7.01 % (2514168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.18/7.01 % (2514168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.18/7.01 % (2514168)CaDiCaL version: 2.1.3
% 45.18/7.01 % (2514168)Termination reason: Instruction limit
% 45.18/7.01 % (2514168)Termination phase: Saturation
% 45.18/7.01 % (2514168)Time elapsed: 0.222 s
% 45.18/7.01 % (2514168)Peak memory usage: 15 MB
% 45.18/7.01 % (2514168)Instructions burned: 446 (million)
% 45.18/7.01 % (2514186)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=644401574:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2942 on theBenchmark for (2942ds/908Mi)
% 52.38/8.01 % (2514182)Instruction limit reached!
% 52.38/8.01 % (2514182)------------------------------
% 52.38/8.01 % (2514182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.38/8.01 % (2514182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.38/8.01 % (2514182)CaDiCaL version: 2.1.3
% 52.38/8.01 % (2514182)Termination reason: Instruction limit
% 52.38/8.01 % (2514182)Termination phase: Saturation
% 52.38/8.01 % (2514182)Time elapsed: 0.276 s
% 52.38/8.01 % (2514182)Peak memory usage: 13 MB
% 52.38/8.01 % (2514182)Instructions burned: 1357 (million)
% 52.38/8.01 % (2514188)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=2747565562:i=6901:add=on:slsql=off:rtra=on:ntd=on_2940 on theBenchmark for (2940ds/6901Mi)
% 52.38/8.01 % (2514150)Instruction limit reached!
% 52.38/8.01 % (2514150)------------------------------
% 52.38/8.01 % (2514150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.38/8.01 % (2514150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.38/8.01 % (2514150)CaDiCaL version: 2.1.3
% 52.38/8.01 % (2514150)Termination reason: Instruction limit
% 52.38/8.01 % (2514150)Termination phase: Saturation
% 52.38/8.01 % (2514150)Time elapsed: 0.989 s
% 52.38/8.01 % (2514150)Peak memory usage: 15 MB
% 52.38/8.01 % (2514150)Instructions burned: 2276 (million)
% 52.38/8.01 % (2514190)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=904709286:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2940 on theBenchmark for (2940ds/3621Mi)
% 52.38/8.01 % (2514184)Instruction limit reached!
% 52.38/8.01 % (2514184)------------------------------
% 52.38/8.01 % (2514184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.38/8.01 % (2514184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.38/8.01 % (2514184)CaDiCaL version: 2.1.3
% 52.38/8.01 % (2514184)Termination reason: Instruction limit
% 52.38/8.01 % (2514184)Termination phase: Saturation
% 52.38/8.01 % (2514184)Time elapsed: 0.276 s
% 52.38/8.01 % (2514184)Peak memory usage: 13 MB
% 52.38/8.01 % (2514184)Instructions burned: 693 (million)
% 52.38/8.01 % (2514192)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=3130555337:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2939 on theBenchmark for (2939ds/1160Mi)
% 52.38/8.01 % (2514192)Refutation not found, incomplete strategy
% 52.38/8.01 % (2514192)------------------------------
% 52.38/8.01 % (2514192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.38/8.01 % (2514192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.38/8.01 % (2514192)CaDiCaL version: 2.1.3
% 52.38/8.01 % (2514192)Termination reason: Refutation not found, incomplete strategy
% 52.38/8.01 % (2514192)Time elapsed: 0.002 s
% 52.38/8.01 % (2514192)Peak memory usage: 12 MB
% 52.38/8.01 % (2514192)Instructions burned: 3 (million)
% 52.38/8.01 % (2514192)------------------------------
% 52.38/8.01 % (2514192)------------------------------
% 52.38/8.01 % (2514194)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=1484144344:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2939 on theBenchmark for (2939ds/570Mi)
% 52.38/8.01 % (2514186)Instruction limit reached!
% 52.38/8.01 % (2514186)------------------------------
% 52.38/8.01 % (2514186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.38/8.01 % (2514186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.38/8.01 % (2514186)CaDiCaL version: 2.1.3
% 52.38/8.01 % (2514186)Termination reason: Instruction limit
% 52.38/8.01 % (2514186)Termination phase: Saturation
% 52.38/8.01 % (2514186)Time elapsed: 0.432 s
% 52.38/8.01 % (2514186)Peak memory usage: 15 MB
% 52.38/8.01 % (2514186)Instructions burned: 908 (million)
% 52.38/8.01 % (2514196)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=3317568959:i=324:bd=all:ins=4:rtra=on_2937 on theBenchmark for (2937ds/324Mi)
% 52.38/8.01 % (2514194)Instruction limit reached!
% 52.38/8.01 % (2514194)------------------------------
% 52.38/8.01 % (2514194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.48/8.96 % (2514194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.48/8.96 % (2514194)CaDiCaL version: 2.1.3
% 59.48/8.96 % (2514194)Termination reason: Instruction limit
% 59.48/8.96 % (2514194)Termination phase: Saturation
% 59.48/8.96 % (2514194)Time elapsed: 0.236 s
% 59.48/8.96 % (2514194)Peak memory usage: 13 MB
% 59.48/8.96 % (2514194)Instructions burned: 571 (million)
% 59.48/8.96 % (2514198)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=3987328051:s2a=on:i=5712:rtra=on_2936 on theBenchmark for (2936ds/5712Mi)
% 59.48/8.96 % (2514196)Instruction limit reached!
% 59.48/8.96 % (2514196)------------------------------
% 59.48/8.96 % (2514196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.48/8.96 % (2514196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.48/8.96 % (2514196)CaDiCaL version: 2.1.3
% 59.48/8.96 % (2514196)Termination reason: Instruction limit
% 59.48/8.96 % (2514196)Termination phase: Saturation
% 59.48/8.96 % (2514196)Time elapsed: 0.141 s
% 59.48/8.96 % (2514196)Peak memory usage: 14 MB
% 59.48/8.96 % (2514196)Instructions burned: 324 (million)
% 59.48/8.96 % (2514200)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 59.48/8.96 % (2514200)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 59.48/8.96 % (2514200)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=2955910:i=901:rtra=on:fsd=on_2936 on theBenchmark for (2936ds/901Mi)
% 59.48/8.96 % (2514098)Instruction limit reached!
% 59.48/8.96 % (2514098)------------------------------
% 59.48/8.96 % (2514098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.48/8.96 % (2514098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.48/8.96 % (2514098)CaDiCaL version: 2.1.3
% 59.48/8.96 % (2514098)Termination reason: Instruction limit
% 59.48/8.96 % (2514098)Termination phase: Saturation
% 59.48/8.96 % (2514098)Time elapsed: 3.057 s
% 59.48/8.96 % (2514098)Peak memory usage: 35 MB
% 59.48/8.96 % (2514098)Instructions burned: 6581 (million)
% 59.48/8.96 % (2514202)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2483552615:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2933 on theBenchmark for (2933ds/2961Mi)
% 59.48/8.96 % (2514202)Refutation not found, incomplete strategy
% 59.48/8.96 % (2514202)------------------------------
% 59.48/8.96 % (2514202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.48/8.96 % (2514202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.48/8.96 % (2514202)CaDiCaL version: 2.1.3
% 59.48/8.96 % (2514202)Termination reason: Refutation not found, incomplete strategy
% 59.48/8.96 % (2514202)Time elapsed: 0.001 s
% 59.48/8.96 % (2514202)Peak memory usage: 11 MB
% 59.48/8.96 % (2514202)Instructions burned: 1 (million)
% 59.48/8.96 % (2514202)------------------------------
% 59.48/8.96 % (2514202)------------------------------
% 59.48/8.96 % (2514204)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=2458881726: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)
% 59.48/8.96 % (2514200)Instruction limit reached!
% 59.48/8.96 % (2514200)------------------------------
% 59.48/8.96 % (2514200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.48/8.96 % (2514200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.48/8.96 % (2514200)CaDiCaL version: 2.1.3
% 59.48/8.96 % (2514200)Termination reason: Instruction limit
% 59.48/8.96 % (2514200)Termination phase: Saturation
% 59.48/8.96 % (2514200)Time elapsed: 0.346 s
% 59.48/8.96 % (2514200)Peak memory usage: 13 MB
% 59.48/8.96 % (2514200)Instructions burned: 903 (million)
% 59.48/8.96 % (2514206)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=943253300:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2932 on theBenchmark for (2932ds/3368Mi)
% 59.48/8.96 % (2514206)Refutation not found, incomplete strategy
% 59.48/8.96 % (2514206)------------------------------
% 59.48/8.96 % (2514206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.48/8.96 % (2514206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.16/9.51 % (2514206)CaDiCaL version: 2.1.3
% 65.16/9.51 % (2514206)Termination reason: Refutation not found, incomplete strategy
% 65.16/9.51 % (2514206)Time elapsed: 0.001 s
% 65.16/9.51 % (2514206)Peak memory usage: 11 MB
% 65.16/9.51 % (2514206)Instructions burned: 1 (million)
% 65.16/9.51 % (2514206)------------------------------
% 65.16/9.51 % (2514206)------------------------------
% 65.16/9.51 % (2514208)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=3320352108:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2932 on theBenchmark for (2932ds/20626Mi)
% 65.16/9.51 % (2514188)Instruction limit reached!
% 65.16/9.51 % (2514188)------------------------------
% 65.16/9.51 % (2514188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.16/9.51 % (2514188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.16/9.51 % (2514188)CaDiCaL version: 2.1.3
% 65.16/9.51 % (2514188)Termination reason: Instruction limit
% 65.16/9.51 % (2514188)Termination phase: Saturation
% 65.16/9.51 % (2514188)Time elapsed: 1.120 s
% 65.16/9.51 % (2514188)Peak memory usage: 14 MB
% 65.16/9.51 % (2514188)Instructions burned: 6903 (million)
% 65.16/9.51 % (2514210)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2018667738:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2929 on theBenchmark for (2929ds/27154Mi)
% 65.16/9.51 % (2514173)Instruction limit reached!
% 65.16/9.51 % (2514173)------------------------------
% 65.16/9.51 % (2514173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.16/9.51 % (2514173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.16/9.51 % (2514173)CaDiCaL version: 2.1.3
% 65.16/9.51 % (2514173)Termination reason: Instruction limit
% 65.16/9.51 % (2514173)Termination phase: Saturation
% 65.16/9.51 % (2514173)Time elapsed: 1.778 s
% 65.16/9.51 % (2514173)Peak memory usage: 22 MB
% 65.16/9.51 % (2514173)Instructions burned: 4071 (million)
% 65.16/9.51 % (2514212)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=418643807:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2926 on theBenchmark for (2926ds/515Mi)
% 65.16/9.51 % (2514212)Refutation not found, incomplete strategy
% 65.16/9.51 % (2514212)------------------------------
% 65.16/9.51 % (2514212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.16/9.51 % (2514212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.16/9.51 % (2514212)CaDiCaL version: 2.1.3
% 65.16/9.51 % (2514212)Termination reason: Refutation not found, incomplete strategy
% 65.16/9.51 % (2514212)Time elapsed: 0.001 s
% 65.16/9.51 % (2514212)Peak memory usage: 12 MB
% 65.16/9.51 % (2514212)Instructions burned: 1 (million)
% 65.16/9.51 % (2514212)------------------------------
% 65.16/9.51 % (2514212)------------------------------
% 65.16/9.51 % (2514214)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3926469692:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2926 on theBenchmark for (2926ds/2653Mi)
% 65.16/9.51 % (2514190)Instruction limit reached!
% 65.16/9.51 % (2514190)------------------------------
% 65.16/9.51 % (2514190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.16/9.51 % (2514190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.16/9.51 % (2514190)CaDiCaL version: 2.1.3
% 65.16/9.51 % (2514190)Termination reason: Instruction limit
% 65.16/9.51 % (2514190)Termination phase: Saturation
% 65.16/9.51 % (2514190)Time elapsed: 1.497 s
% 65.16/9.51 % (2514190)Peak memory usage: 16 MB
% 65.16/9.51 % (2514190)Instructions burned: 3622 (million)
% 65.16/9.51 % (2514216)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
% 65.16/9.51 % (2514216)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=3466186484:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2925 on theBenchmark for (2925ds/1297Mi)
% 65.16/9.51 % (2514204)Instruction limit reached!
% 65.16/9.51 % (2514204)------------------------------
% 65.16/9.51 % (2514204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.16/9.51 % (2514204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.16/9.51 % (2514204)CaDiCaL version: 2.1.3
% 65.16/9.51 % (2514204)Termination reason: Instruction limit
% 67.64/9.92 % (2514204)Termination phase: Saturation
% 67.64/9.92 % (2514204)Time elapsed: 1.044 s
% 67.64/9.92 % (2514204)Peak memory usage: 14 MB
% 67.64/9.92 % (2514204)Instructions burned: 3527 (million)
% 67.64/9.92 % (2514218)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=4285773611:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2922 on theBenchmark for (2922ds/1950Mi)
% 67.64/9.92 % (2514216)Instruction limit reached!
% 67.64/9.92 % (2514216)------------------------------
% 67.64/9.92 % (2514216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.64/9.92 % (2514216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.64/9.92 % (2514216)CaDiCaL version: 2.1.3
% 67.64/9.92 % (2514216)Termination reason: Instruction limit
% 67.64/9.92 % (2514216)Termination phase: Saturation
% 67.64/9.92 % (2514216)Time elapsed: 0.509 s
% 67.64/9.92 % (2514216)Peak memory usage: 13 MB
% 67.64/9.92 % (2514216)Instructions burned: 1299 (million)
% 67.64/9.92 % (2514220)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=3777626071:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2920 on theBenchmark for (2920ds/2818Mi)
% 67.64/9.92 % (2514198)Instruction limit reached!
% 67.64/9.92 % (2514198)------------------------------
% 67.64/9.92 % (2514198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.64/9.92 % (2514198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.64/9.92 % (2514198)CaDiCaL version: 2.1.3
% 67.64/9.92 % (2514198)Termination reason: Instruction limit
% 67.64/9.92 % (2514198)Termination phase: Saturation
% 67.64/9.92 % (2514198)Time elapsed: 1.736 s
% 67.64/9.92 % (2514198)Peak memory usage: 14 MB
% 67.64/9.92 % (2514198)Instructions burned: 5716 (million)
% 67.64/9.92 % (2514222)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=1570067006:s2a=on:i=573:rtra=on:gsp=on_2919 on theBenchmark for (2919ds/573Mi)
% 67.64/9.92 % (2514222)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 67.64/9.92 % (2514222)Instruction limit reached!
% 67.64/9.92 % (2514222)------------------------------
% 67.64/9.92 % (2514222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.64/9.92 % (2514222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.64/9.92 % (2514222)CaDiCaL version: 2.1.3
% 67.64/9.92 % (2514222)Termination reason: Instruction limit
% 67.64/9.92 % (2514222)Termination phase: Saturation
% 67.64/9.92 % (2514222)Time elapsed: 0.258 s
% 67.64/9.92 % (2514222)Peak memory usage: 13 MB
% 67.64/9.92 % (2514222)Instructions burned: 573 (million)
% 67.64/9.92 % (2514224)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=435428495:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2916 on theBenchmark for (2916ds/9598Mi)
% 67.64/9.92 % (2514214)Instruction limit reached!
% 67.64/9.92 % (2514214)------------------------------
% 67.64/9.92 % (2514214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.64/9.92 % (2514214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.64/9.92 % (2514214)CaDiCaL version: 2.1.3
% 67.64/9.92 % (2514214)Termination reason: Instruction limit
% 67.64/9.92 % (2514214)Termination phase: Saturation
% 67.64/9.92 % (2514214)Time elapsed: 1.139 s
% 67.64/9.92 % (2514214)Peak memory usage: 14 MB
% 67.64/9.92 % (2514214)Instructions burned: 2655 (million)
% 67.64/9.92 % (2514226)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 67.64/9.92 % (2514226)ott+1002_16_sil=128000:si=on:random_seed=1755102677:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2914 on theBenchmark for (2914ds/409Mi)
% 67.64/9.92 % (2514226)Instruction limit reached!
% 67.64/9.92 % (2514226)------------------------------
% 67.64/9.92 % (2514226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.64/9.92 % (2514226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.64/9.92 % (2514226)CaDiCaL version: 2.1.3
% 67.64/9.92 % (2514226)Termination reason: Instruction limit
% 67.64/9.92 % (2514226)Termination phase: Saturation
% 67.64/9.92 % (2514226)Time elapsed: 0.144 s
% 67.64/9.92 % (2514226)Peak memory usage: 13 MB
% 67.64/9.92 % (2514226)Instructions burned: 410 (million)
% 67.64/9.92 % (2514228)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=3968767830:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2912 on theBenchmark for (2912ds/403Mi)
% 74.71/10.87 % (2514228)Refutation not found, incomplete strategy
% 74.71/10.87 % (2514228)------------------------------
% 74.71/10.87 % (2514228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.71/10.87 % (2514228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.71/10.87 % (2514228)CaDiCaL version: 2.1.3
% 74.71/10.87 % (2514228)Termination reason: Refutation not found, incomplete strategy
% 74.71/10.87 % (2514228)Time elapsed: 0.001 s
% 74.71/10.87 % (2514228)Peak memory usage: 11 MB
% 74.71/10.87 % (2514228)Instructions burned: 1 (million)
% 74.71/10.87 % (2514228)------------------------------
% 74.71/10.87 % (2514228)------------------------------
% 74.71/10.87 % (2514230)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1948182014:cond=on:i=1140:rtra=on:ntd=on_2912 on theBenchmark for (2912ds/1140Mi)
% 74.71/10.87 % (2514218)Instruction limit reached!
% 74.71/10.87 % (2514218)------------------------------
% 74.71/10.87 % (2514218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.71/10.87 % (2514218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.71/10.87 % (2514218)CaDiCaL version: 2.1.3
% 74.71/10.87 % (2514218)Termination reason: Instruction limit
% 74.71/10.87 % (2514218)Termination phase: Saturation
% 74.71/10.87 % (2514218)Time elapsed: 0.985 s
% 74.71/10.87 % (2514218)Peak memory usage: 22 MB
% 74.71/10.87 % (2514218)Instructions burned: 1950 (million)
% 74.71/10.87 % (2514232)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1843487979:i=13574:kws=inv_precedence:rtra=on_2912 on theBenchmark for (2912ds/13574Mi)
% 74.71/10.87 % (2514232)Refutation not found, incomplete strategy
% 74.71/10.87 % (2514232)------------------------------
% 74.71/10.87 % (2514232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.71/10.87 % (2514232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.71/10.87 % (2514232)CaDiCaL version: 2.1.3
% 74.71/10.87 % (2514232)Termination reason: Refutation not found, incomplete strategy
% 74.71/10.87 % (2514232)Time elapsed: 0.001 s
% 74.71/10.87 % (2514232)Peak memory usage: 12 MB
% 74.71/10.87 % (2514232)Instructions burned: 2 (million)
% 74.71/10.87 % (2514232)------------------------------
% 74.71/10.87 % (2514232)------------------------------
% 74.71/10.87 % (2514234)lrs+10_2:1_si=on:random_seed=692862381:s2a=on:i=1055:rtra=on:fe=abstraction_2911 on theBenchmark for (2911ds/1055Mi)
% 74.71/10.87 % (2514220)Instruction limit reached!
% 74.71/10.87 % (2514220)------------------------------
% 74.71/10.87 % (2514220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.71/10.87 % (2514220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.71/10.87 % (2514220)CaDiCaL version: 2.1.3
% 74.71/10.87 % (2514220)Termination reason: Instruction limit
% 74.71/10.87 % (2514220)Termination phase: Saturation
% 74.71/10.87 % (2514220)Time elapsed: 1.181 s
% 74.71/10.87 % (2514220)Peak memory usage: 13 MB
% 74.71/10.87 % (2514220)Instructions burned: 2820 (million)
% 74.71/10.87 % (2514236)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 74.71/10.87 % (2514236)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=3967387535:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2908 on theBenchmark for (2908ds/416Mi)
% 74.71/10.87 % (2514230)Instruction limit reached!
% 74.71/10.87 % (2514230)------------------------------
% 74.71/10.87 % (2514230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.71/10.87 % (2514230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.71/10.87 % (2514230)CaDiCaL version: 2.1.3
% 74.71/10.87 % (2514230)Termination reason: Instruction limit
% 74.71/10.87 % (2514230)Termination phase: Saturation
% 74.71/10.87 % (2514230)Time elapsed: 0.470 s
% 74.71/10.87 % (2514230)Peak memory usage: 13 MB
% 74.71/10.87 % (2514230)Instructions burned: 1141 (million)
% 74.71/10.87 % (2514238)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=4262695664:s2a=on:i=8946:bd=preordered:av=off:rtra=on_2907 on theBenchmark for (2907ds/8946Mi)
% 74.71/10.87 % (2514234)Instruction limit reached!
% 74.71/10.87 % (2514234)------------------------------
% 97.90/14.11 % (2514234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 97.90/14.11 % (2514234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.90/14.11 % (2514234)CaDiCaL version: 2.1.3
% 97.90/14.11 % (2514234)Termination reason: Instruction limit
% 97.90/14.11 % (2514234)Termination phase: Saturation
% 97.90/14.11 % (2514234)Time elapsed: 0.454 s
% 97.90/14.11 % (2514234)Peak memory usage: 13 MB
% 97.90/14.11 % (2514234)Instructions burned: 1055 (million)
% 97.90/14.11 % (2514240)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2491689873:s2a=on:i=2129:nm=16:rtra=on_2907 on theBenchmark for (2907ds/2129Mi)
% 97.90/14.11 % (2514240)Refutation not found, incomplete strategy
% 97.90/14.11 % (2514240)------------------------------
% 97.90/14.11 % (2514240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 97.90/14.11 % (2514240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.90/14.11 % (2514240)CaDiCaL version: 2.1.3
% 97.90/14.11 % (2514240)Termination reason: Refutation not found, incomplete strategy
% 97.90/14.11 % (2514240)Time elapsed: 0.001 s
% 97.90/14.11 % (2514240)Peak memory usage: 12 MB
% 97.90/14.11 % (2514240)Instructions burned: 2 (million)
% 97.90/14.11 % (2514240)------------------------------
% 97.90/14.11 % (2514240)------------------------------
% 97.90/14.11 % (2514242)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2163214806:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_2906 on theBenchmark for (2906ds/300Mi)
% 97.90/14.11 % (2514236)Instruction limit reached!
% 97.90/14.11 % (2514236)------------------------------
% 97.90/14.11 % (2514236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 97.90/14.11 % (2514236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.90/14.11 % (2514236)CaDiCaL version: 2.1.3
% 97.90/14.11 % (2514236)Termination reason: Instruction limit
% 97.90/14.11 % (2514236)Termination phase: Saturation
% 97.90/14.11 % (2514236)Time elapsed: 0.193 s
% 97.90/14.11 % (2514236)Peak memory usage: 14 MB
% 97.90/14.11 % (2514236)Instructions burned: 418 (million)
% 97.90/14.11 % (2514242)Instruction limit reached!
% 97.90/14.11 % (2514242)------------------------------
% 97.90/14.11 % (2514242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 97.90/14.11 % (2514242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.90/14.11 % (2514242)CaDiCaL version: 2.1.3
% 97.90/14.11 % (2514242)Termination reason: Instruction limit
% 97.90/14.11 % (2514242)Termination phase: Saturation
% 97.90/14.11 % (2514242)Time elapsed: 0.096 s
% 97.90/14.11 % (2514242)Peak memory usage: 14 MB
% 97.90/14.11 % (2514242)Instructions burned: 301 (million)
% 97.90/14.11 % (2514244)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=3981007659:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_2905 on theBenchmark for (2905ds/11464Mi)
% 97.90/14.11 % (2514244)Refutation not found, incomplete strategy
% 97.90/14.11 % (2514244)------------------------------
% 97.90/14.11 % (2514244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 97.90/14.11 % (2514244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.90/14.11 % (2514244)CaDiCaL version: 2.1.3
% 97.90/14.11 % (2514244)Termination reason: Refutation not found, incomplete strategy
% 97.90/14.11 % (2514244)Time elapsed: 0.002 s
% 97.90/14.11 % (2514244)Peak memory usage: 12 MB
% 97.90/14.11 % (2514244)Instructions burned: 3 (million)
% 97.90/14.11 % (2514244)------------------------------
% 97.90/14.11 % (2514244)------------------------------
% 97.90/14.11 % (2514245)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=4268338763:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_2905 on theBenchmark for (2905ds/11001Mi)
% 97.90/14.11 % (2514247)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3593992144:hsq=on:i=662:rtra=on:ixr=off_2905 on theBenchmark for (2905ds/662Mi)
% 97.90/14.11 % (2514247)Instruction limit reached!
% 97.90/14.11 % (2514247)------------------------------
% 97.90/14.11 % (2514247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 97.90/14.11 % (2514247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.90/14.11 % (2514247)CaDiCaL version: 2.1.3
% 97.90/14.11 % (2514247)Termination reason: Instruction limit
% 97.90/14.11 % (2514247)Termination phase: Saturation
% 97.90/14.11 % (2514247)Time elapsed: 0.241 s
% 111.13/15.98 % (2514247)Peak memory usage: 13 MB
% 111.13/15.98 % (2514247)Instructions burned: 663 (million)
% 111.13/15.98 % (2514250)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=1332077273:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_2903 on theBenchmark for (2903ds/1714Mi)
% 111.13/15.98 % (2514145)Instruction limit reached!
% 111.13/15.98 % (2514145)------------------------------
% 111.13/15.98 % (2514145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.13/15.98 % (2514145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.13/15.98 % (2514145)CaDiCaL version: 2.1.3
% 111.13/15.98 % (2514145)Termination reason: Instruction limit
% 111.13/15.98 % (2514145)Termination phase: Saturation
% 111.13/15.98 % (2514145)Time elapsed: 5.270 s
% 111.13/15.98 % (2514145)Peak memory usage: 20 MB
% 111.13/15.98 % (2514145)Instructions burned: 17244 (million)
% 111.13/15.98 % (2514252)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=1328671691:s2a=on:i=699:add=on:bd=preordered:ins=10:rtra=on_2901 on theBenchmark for (2901ds/699Mi)
% 111.13/15.98 % (2514252)Instruction limit reached!
% 111.13/15.98 % (2514252)------------------------------
% 111.13/15.98 % (2514252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.13/15.98 % (2514252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.13/15.98 % (2514252)CaDiCaL version: 2.1.3
% 111.13/15.98 % (2514252)Termination reason: Instruction limit
% 111.13/15.98 % (2514252)Termination phase: Saturation
% 111.13/15.98 % (2514252)Time elapsed: 0.265 s
% 111.13/15.98 % (2514252)Peak memory usage: 14 MB
% 111.13/15.98 % (2514252)Instructions burned: 701 (million)
% 111.13/15.98 % (2514254)lrs+21_1_to=lpo:sil=128000:fde=none:e2e=on:si=on:lma=off:nwc=4:random_seed=4265968956:i=4542:bd=preordered:rtra=on:ss=axioms_2898 on theBenchmark for (2898ds/4542Mi)
% 111.13/15.98 % (2514254)Refutation not found, incomplete strategy
% 111.13/15.98 % (2514254)------------------------------
% 111.13/15.98 % (2514254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.13/15.98 % (2514254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.13/15.98 % (2514254)CaDiCaL version: 2.1.3
% 111.13/15.98 % (2514254)Termination reason: Refutation not found, incomplete strategy
% 111.13/15.98 % (2514254)Time elapsed: 0.001 s
% 111.13/15.98 % (2514254)Peak memory usage: 11 MB
% 111.13/15.98 % (2514254)Instructions burned: 1 (million)
% 111.13/15.98 % (2514254)------------------------------
% 111.13/15.98 % (2514254)------------------------------
% 111.13/15.98 % (2514256)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=188631852:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2898 on theBenchmark for (2898ds/280Mi)
% 111.13/15.98 % (2514256)Instruction limit reached!
% 111.13/15.98 % (2514256)------------------------------
% 111.13/15.98 % (2514256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.13/15.98 % (2514256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.13/15.98 % (2514256)CaDiCaL version: 2.1.3
% 111.13/15.98 % (2514256)Termination reason: Instruction limit
% 111.13/15.98 % (2514256)Termination phase: Saturation
% 111.13/15.98 % (2514256)Time elapsed: 0.131 s
% 111.13/15.98 % (2514256)Peak memory usage: 13 MB
% 111.13/15.98 % (2514256)Instructions burned: 281 (million)
% 111.13/15.98 % (2514258)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 111.13/15.98 % (2514258)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2757212719:i=13409:hud=10:nm=16:av=off:rtra=on:ntd=on_2896 on theBenchmark for (2896ds/13409Mi)
% 111.13/15.98 % (2514250)Instruction limit reached!
% 111.13/15.98 % (2514250)------------------------------
% 111.13/15.98 % (2514250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.13/15.98 % (2514250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.13/15.98 % (2514250)CaDiCaL version: 2.1.3
% 111.13/15.98 % (2514250)Termination reason: Instruction limit
% 111.13/15.98 % (2514250)Termination phase: Saturation
% 111.13/15.98 % (2514250)Time elapsed: 0.908 s
% 111.13/15.98 % (2514250)Peak memory usage: 20 MB
% 111.13/15.98 % (2514250)Instructions burned: 1715 (million)
% 111.13/15.98 % (2514260)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=1111697807:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=26870:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2893 on theBenchmark for (2893ds/26870Mi)
% 116.09/16.65 % (2514224)Instruction limit reached!
% 116.09/16.65 % (2514224)------------------------------
% 116.09/16.65 % (2514224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.09/16.65 % (2514224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.09/16.65 % (2514224)CaDiCaL version: 2.1.3
% 116.09/16.65 % (2514224)Termination reason: Instruction limit
% 116.09/16.65 % (2514224)Termination phase: Saturation
% 116.09/16.65 % (2514224)Time elapsed: 3.547 s
% 116.09/16.65 % (2514224)Peak memory usage: 14 MB
% 116.09/16.65 % (2514224)Instructions burned: 9598 (million)
% 116.09/16.65 % (2514262)dis+21_16:1_to=lpo:drc=off:cnfonf=lazy_not_be_gen:si=on:sp=const_min:lma=off:urr=on:uwa=hol:nwc=20:s2agt=4:random_seed=2278915397:uwa_fpi=on:s2a=on:i=21001:s2at=3:piset=or:hud=15:rtra=on:fe=abstraction_2880 on theBenchmark for (2880ds/21001Mi)
% 116.09/16.65 % (2514210)Instruction limit reached!
% 116.09/16.65 % (2514210)------------------------------
% 116.09/16.65 % (2514210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.09/16.65 % (2514210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.09/16.65 % (2514210)CaDiCaL version: 2.1.3
% 116.09/16.65 % (2514210)Termination reason: Instruction limit
% 116.09/16.65 % (2514210)Termination phase: Saturation
% 116.09/16.65 % (2514210)Time elapsed: 5.400 s
% 116.09/16.65 % (2514210)Peak memory usage: 17 MB
% 116.09/16.65 % (2514210)Instructions burned: 27156 (million)
% 116.09/16.65 % (2514264)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=1320881823:hsq=on:hsqr=16,1:s2a=on:i=46928:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2875 on theBenchmark for (2875ds/46928Mi)
% 116.09/16.65 % (2514238)Instruction limit reached!
% 116.09/16.65 % (2514238)------------------------------
% 116.09/16.65 % (2514238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.09/16.65 % (2514238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.09/16.65 % (2514238)CaDiCaL version: 2.1.3
% 116.09/16.65 % (2514238)Termination reason: Instruction limit
% 116.09/16.65 % (2514238)Termination phase: Saturation
% 116.09/16.65 % (2514238)Time elapsed: 3.691 s
% 116.09/16.65 % (2514238)Peak memory usage: 16 MB
% 116.09/16.65 % (2514238)Instructions burned: 8948 (million)
% 116.09/16.65 % (2514267)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=4209309107:hsq=on:hsqr=16,1:s2a=on:i=18590:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2870 on theBenchmark for (2870ds/18590Mi)
% 116.09/16.65 % (2514267)Refutation not found, incomplete strategy
% 116.09/16.65 % (2514267)------------------------------
% 116.09/16.65 % (2514267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.09/16.65 % (2514267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.09/16.65 % (2514267)CaDiCaL version: 2.1.3
% 116.09/16.65 % (2514267)Termination reason: Refutation not found, incomplete strategy
% 116.09/16.65 % (2514267)Time elapsed: 0.001 s
% 116.09/16.65 % (2514267)Peak memory usage: 12 MB
% 116.09/16.65 % (2514267)Instructions burned: 1 (million)
% 116.09/16.65 % (2514267)------------------------------
% 116.09/16.65 % (2514267)------------------------------
% 116.09/16.65 % (2514269)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=3730780235:i=6157:fsr=off:rtra=on:ixr=off_2870 on theBenchmark for (2870ds/6157Mi)
% 116.09/16.65 % (2514245)Instruction limit reached!
% 116.09/16.65 % (2514245)------------------------------
% 116.09/16.65 % (2514245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 116.09/16.65 % (2514245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.09/16.65 % (2514245)CaDiCaL version: 2.1.3
% 116.09/16.65 % (2514245)Termination reason: Instruction limit
% 116.09/16.65 % (2514245)Termination phase: Saturation
% 116.09/16.65 % (2514245)Time elapsed: 4.418 s
% 116.09/16.65 % (2514245)Peak memory usage: 20 MB
% 116.09/16.65 % (2514245)Instructions burned: 11004 (million)
% 116.09/16.65 % (2514348)ott+1011_28_anc=all_dependent:cnfonf=lazy_gen:si=on:fdtod=off:sp=reverse_frequency:uwa=one_side_interpreted:fd=preordered:nwc=1:random_seed=3448343026:i=5804:kws=arity_squared:bd=all:rtra=on:ntd=on_2861 on theBenchmark for (2861ds/5804Mi)
% 117.34/16.89 % (2514348)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 117.34/16.89 % (2514269)Instruction limit reached!
% 117.34/16.89 % (2514269)------------------------------
% 117.34/16.89 % (2514269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.34/16.89 % (2514269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.34/16.89 % (2514269)CaDiCaL version: 2.1.3
% 117.34/16.89 % (2514269)Termination reason: Instruction limit
% 117.34/16.89 % (2514269)Termination phase: Saturation
% 117.34/16.89 % (2514269)Time elapsed: 2.581 s
% 117.34/16.89 % (2514269)Peak memory usage: 16 MB
% 117.34/16.89 % (2514269)Instructions burned: 6159 (million)
% 117.34/16.89 % (2514393)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 117.34/16.89 % (2514393)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2073325805:lrd=on:st=3:i=23647:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2844 on theBenchmark for (2844ds/23647Mi)
% 117.34/16.89 % (2514393)Refutation not found, incomplete strategy
% 117.34/16.89 % (2514393)------------------------------
% 117.34/16.89 % (2514393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.34/16.89 % (2514393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.34/16.89 % (2514393)CaDiCaL version: 2.1.3
% 117.34/16.89 % (2514393)Termination reason: Refutation not found, incomplete strategy
% 117.34/16.89 % (2514393)Time elapsed: 0.001 s
% 117.34/16.89 % (2514393)Peak memory usage: 11 MB
% 117.34/16.89 % (2514393)Instructions burned: 2 (million)
% 117.34/16.89 % (2514393)------------------------------
% 117.34/16.89 % (2514393)------------------------------
% 117.34/16.89 % (2514395)WARNING Broken Constraint: if sine_to_age_generality_threshold(128) 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
% 117.34/16.89 % (2514395)WARNING Broken Constraint: if ho_split_queue_appvar_weight(0) has been set then ho_split_queue(off) is equal to on
% 117.34/16.89 % (2514395)dis+1010_1024_sil=128000:fde=unused:cnfonf=lazy_simp:si=on:fdtod=off:spb=units:uwa=one_side_interpreted:rp=on:s2agt=128:random_seed=1690814250:i=8914:sd=1:kws=arity:hsqaw=0:rtra=on:ss=axioms:sgt=16_2844 on theBenchmark for (2844ds/8914Mi)
% 117.34/16.89 % (2514395)Refutation not found, incomplete strategy
% 117.34/16.89 % (2514395)------------------------------
% 117.34/16.89 % (2514395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.34/16.89 % (2514395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.34/16.89 % (2514395)CaDiCaL version: 2.1.3
% 117.34/16.89 % (2514395)Termination reason: Refutation not found, incomplete strategy
% 117.34/16.89 % (2514395)Time elapsed: 0.001 s
% 117.34/16.89 % (2514395)Peak memory usage: 11 MB
% 117.34/16.89 % (2514395)Instructions burned: 1 (million)
% 117.34/16.89 % (2514395)------------------------------
% 117.34/16.89 % (2514395)------------------------------
% 117.34/16.89 % (2514397)WARNING Broken Constraint: if ho_split_queue_cutoffs(30) has been set then ho_split_queue(off) is equal to on
% 117.34/16.89 % (2514397)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
% 117.34/16.89 % (2514397)WARNING Broken Constraint: if ho_split_queue_ratios(7,1) has been set then ho_split_queue(off) is equal to on
% 117.34/16.89 % (2514397)WARNING Broken Constraint: if sine_to_age_tolerance(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
% 117.34/16.89 % (2514397)WARNING Broken Constraint: if ho_split_queue_appvar_weight(4) has been set then ho_split_queue(off) is equal to on
% 117.34/16.89 % (2514397)ott-1010_5_sil=128000:tgt=full:hsqc=30:si=on:sp=occurrence:uwa=off:nwc=1:s2agt=16:random_seed=3529661937:hsqr=7,1:cond=on:i=7920:s2at=10:kws=inv_precedence:hsqaw=4:fgj=on:bd=preordered:av=off:rtra=on_2843 on theBenchmark for (2843ds/7920Mi)
% 117.34/16.89 % (2514258)Instruction limit reached!
% 117.34/16.89 % (2514258)------------------------------
% 117.34/16.89 % (2514258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 117.34/16.89 % (2514258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.59/18.52 % (2514258)CaDiCaL version: 2.1.3
% 129.59/18.52 % (2514258)Termination reason: Instruction limit
% 129.59/18.52 % (2514258)Termination phase: Saturation
% 129.59/18.52 % (2514258)Time elapsed: 5.384 s
% 129.59/18.52 % (2514258)Peak memory usage: 22 MB
% 129.59/18.52 % (2514258)Instructions burned: 13410 (million)
% 129.59/18.52 % (2514399)WARNING Broken Constraint: if sine_to_age_tolerance(4) 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
% 129.59/18.52 % (2514399)ott+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=on:lma=off:uwa=off:random_seed=2672273288:i=1628:s2at=4:bd=preordered:fsr=off:rtra=on:amm=off:fe=abstraction_2842 on theBenchmark for (2842ds/1628Mi)
% 129.59/18.52 % (2514399)Refutation not found, incomplete strategy
% 129.59/18.52 % (2514399)------------------------------
% 129.59/18.52 % (2514399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.59/18.52 % (2514399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.59/18.52 % (2514399)CaDiCaL version: 2.1.3
% 129.59/18.52 % (2514399)Termination reason: Refutation not found, incomplete strategy
% 129.59/18.52 % (2514399)Time elapsed: 0.002 s
% 129.59/18.52 % (2514399)Peak memory usage: 12 MB
% 129.59/18.52 % (2514399)Instructions burned: 4 (million)
% 129.59/18.52 % (2514399)------------------------------
% 129.59/18.52 % (2514399)------------------------------
% 129.59/18.52 % (2514401)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=9985677:avsq=on:i=1806:rtra=on_2842 on theBenchmark for (2842ds/1806Mi)
% 129.59/18.52 % (2514401)Instruction limit reached!
% 129.59/18.52 % (2514401)------------------------------
% 129.59/18.52 % (2514401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.59/18.52 % (2514401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.59/18.52 % (2514401)CaDiCaL version: 2.1.3
% 129.59/18.52 % (2514401)Termination reason: Instruction limit
% 129.59/18.52 % (2514401)Termination phase: Saturation
% 129.59/18.52 % (2514401)Time elapsed: 0.561 s
% 129.59/18.52 % (2514401)Peak memory usage: 14 MB
% 129.59/18.52 % (2514401)Instructions burned: 1808 (million)
% 129.59/18.52 % (2514403)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3654076737:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2836 on theBenchmark for (2836ds/715Mi)
% 129.59/18.52 % (2514403)Refutation not found, incomplete strategy
% 129.59/18.52 % (2514403)------------------------------
% 129.59/18.52 % (2514403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.59/18.52 % (2514403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.59/18.52 % (2514403)CaDiCaL version: 2.1.3
% 129.59/18.52 % (2514403)Termination reason: Refutation not found, incomplete strategy
% 129.59/18.52 % (2514403)Time elapsed: 0.001 s
% 129.59/18.52 % (2514403)Peak memory usage: 11 MB
% 129.59/18.52 % (2514403)Instructions burned: 2 (million)
% 129.59/18.52 % (2514403)------------------------------
% 129.59/18.52 % (2514403)------------------------------
% 129.59/18.52 % (2514405)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1854318047:s2a=on:i=59443:sd=1:rtra=on:ss=axioms:sgt=128_2836 on theBenchmark for (2836ds/59443Mi)
% 129.59/18.52 % (2514405)Refutation not found, incomplete strategy
% 129.59/18.52 % (2514405)------------------------------
% 129.59/18.52 % (2514405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.59/18.52 % (2514405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.59/18.52 % (2514405)CaDiCaL version: 2.1.3
% 129.59/18.52 % (2514405)Termination reason: Refutation not found, incomplete strategy
% 129.59/18.52 % (2514405)Time elapsed: 0.001 s
% 129.59/18.52 % (2514405)Peak memory usage: 11 MB
% 129.59/18.52 % (2514405)Instructions burned: 1 (million)
% 129.59/18.52 % (2514405)------------------------------
% 129.59/18.52 % (2514405)------------------------------
% 129.59/18.52 % (2514407)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=3085177985:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2836 on theBenchmark for (2836ds/414Mi)
% 129.59/18.52 % (2514407)Refutation not found, incomplete strategy
% 129.59/18.52 % (2514407)------------------------------
% 129.59/18.52 % (2514407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 129.59/18.52 % (2514407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.59/18.52 % (2514407)CaDiCaL version: 2.1.3
% 137.04/19.67 % (2514407)Termination reason: Refutation not found, incomplete strategy
% 137.04/19.67 % (2514407)Time elapsed: 0.002 s
% 137.04/19.67 % (2514407)Peak memory usage: 12 MB
% 137.04/19.67 % (2514407)Instructions burned: 3 (million)
% 137.04/19.67 % (2514407)------------------------------
% 137.04/19.67 % (2514407)------------------------------
% 137.04/19.67 % (2514409)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 137.04/19.67 % (2514409)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2085160862:lrd=on:i=508:nm=0:rtra=on_2835 on theBenchmark for (2835ds/508Mi)
% 137.04/19.67 % (2514208)Instruction limit reached!
% 137.04/19.67 % (2514208)------------------------------
% 137.04/19.67 % (2514208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.04/19.67 % (2514208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.04/19.67 % (2514208)CaDiCaL version: 2.1.3
% 137.04/19.67 % (2514208)Termination reason: Instruction limit
% 137.04/19.67 % (2514208)Termination phase: Saturation
% 137.04/19.67 % (2514208)Time elapsed: 9.695 s
% 137.04/19.67 % (2514208)Peak memory usage: 41 MB
% 137.04/19.67 % (2514208)Instructions burned: 20626 (million)
% 137.04/19.67 % (2514348)Instruction limit reached!
% 137.04/19.67 % (2514348)------------------------------
% 137.04/19.67 % (2514348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.04/19.67 % (2514348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.04/19.67 % (2514348)CaDiCaL version: 2.1.3
% 137.04/19.67 % (2514348)Termination reason: Instruction limit
% 137.04/19.67 % (2514348)Termination phase: Saturation
% 137.04/19.67 % (2514348)Time elapsed: 2.617 s
% 137.04/19.67 % (2514348)Peak memory usage: 24 MB
% 137.04/19.67 % (2514348)Instructions burned: 5804 (million)
% 137.04/19.67 % (2514411)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=3520752932:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2835 on theBenchmark for (2835ds/1324Mi)
% 137.04/19.67 % (2514412)lrs+21_1_sil=128000:plsq=on:drc=off:plsqc=3:si=on:sp=weighted_frequency:lma=off:plsqr=140,31:lcm=reverse:uwa=one_side_interpreted:lwlo=on:random_seed=327811416:i=9105:kws=inv_precedence:piset=and:rtra=on:ss=included:ntd=on_2834 on theBenchmark for (2834ds/9105Mi)
% 137.04/19.67 % (2514411)Refutation not found, incomplete strategy
% 137.04/19.67 % (2514411)------------------------------
% 137.04/19.67 % (2514411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.04/19.67 % (2514411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.04/19.67 % (2514411)CaDiCaL version: 2.1.3
% 137.04/19.67 % (2514411)Termination reason: Refutation not found, incomplete strategy
% 137.04/19.67 % (2514411)Time elapsed: 0.002 s
% 137.04/19.67 % (2514411)Peak memory usage: 12 MB
% 137.04/19.67 % (2514411)Instructions burned: 2 (million)
% 137.04/19.67 % (2514411)------------------------------
% 137.04/19.67 % (2514411)------------------------------
% 137.04/19.67 % (2514415)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2333679818:hsq=on:i=924:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2834 on theBenchmark for (2834ds/924Mi)
% 137.04/19.67 % (2514415)Refutation not found, incomplete strategy
% 137.04/19.67 % (2514415)------------------------------
% 137.04/19.67 % (2514415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.04/19.67 % (2514415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.04/19.67 % (2514415)CaDiCaL version: 2.1.3
% 137.04/19.67 % (2514415)Termination reason: Refutation not found, incomplete strategy
% 137.04/19.67 % (2514415)Time elapsed: 0.002 s
% 137.04/19.67 % (2514415)Peak memory usage: 12 MB
% 137.04/19.67 % (2514415)Instructions burned: 2 (million)
% 137.04/19.67 % (2514415)------------------------------
% 137.04/19.67 % (2514415)------------------------------
% 137.04/19.67 % (2514417)dis+1002_64_sil=128000:si=on:slsq=on:random_seed=255493911:uwa_fpi=on:i=10717:nm=16:rtra=on:bet=on:fe=axiom:ntd=on_2834 on theBenchmark for (2834ds/10717Mi)
% 137.04/19.67 % (2514409)Instruction limit reached!
% 137.04/19.67 % (2514409)------------------------------
% 137.04/19.67 % (2514409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 137.04/19.67 % (2514409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 137.04/19.67 % (2514409)CaDiCaL version: 2.1.3
% 137.04/19.67 % (2514409)Termination reason: Instruction limit
% 137.04/19.67 % (2514409)Termination phase: Saturation
% 137.04/19.67 % (2514409)Time elapsed: 0.220 s
% 137.04/19.67 % (2514409)Peak memory usage: 13 MB
% 144.47/20.84 % (2514409)Instructions burned: 509 (million)
% 144.47/20.84 % (2514419)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1821781909:i=3245:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2833 on theBenchmark for (2833ds/3245Mi)
% 144.47/20.84 % (2514419)Refutation not found, incomplete strategy
% 144.47/20.84 % (2514419)------------------------------
% 144.47/20.84 % (2514419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.47/20.84 % (2514419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.47/20.84 % (2514419)CaDiCaL version: 2.1.3
% 144.47/20.84 % (2514419)Termination reason: Refutation not found, incomplete strategy
% 144.47/20.84 % (2514419)Time elapsed: 0.001 s
% 144.47/20.84 % (2514419)Peak memory usage: 11 MB
% 144.47/20.84 % (2514419)Instructions burned: 1 (million)
% 144.47/20.84 % (2514419)------------------------------
% 144.47/20.84 % (2514419)------------------------------
% 144.47/20.84 % (2514421)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3144193202:i=6852:sd=2:nm=16:rtra=on:ss=axioms_2833 on theBenchmark for (2833ds/6852Mi)
% 144.47/20.84 % (2514421)Refutation not found, incomplete strategy
% 144.47/20.84 % (2514421)------------------------------
% 144.47/20.84 % (2514421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.47/20.84 % (2514421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.47/20.84 % (2514421)CaDiCaL version: 2.1.3
% 144.47/20.84 % (2514421)Termination reason: Refutation not found, incomplete strategy
% 144.47/20.84 % (2514421)Time elapsed: 0.001 s
% 144.47/20.84 % (2514421)Peak memory usage: 11 MB
% 144.47/20.84 % (2514421)Instructions burned: 1 (million)
% 144.47/20.84 % (2514421)------------------------------
% 144.47/20.84 % (2514421)------------------------------
% 144.47/20.84 % (2514423)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1098077174:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2832 on theBenchmark for (2832ds/1144Mi)
% 144.47/20.84 % (2514423)Refutation not found, incomplete strategy
% 144.47/20.84 % (2514423)------------------------------
% 144.47/20.84 % (2514423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.47/20.84 % (2514423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.47/20.84 % (2514423)CaDiCaL version: 2.1.3
% 144.47/20.84 % (2514423)Termination reason: Refutation not found, incomplete strategy
% 144.47/20.84 % (2514423)Time elapsed: 0.001 s
% 144.47/20.84 % (2514423)Peak memory usage: 11 MB
% 144.47/20.84 % (2514423)Instructions burned: 1 (million)
% 144.47/20.84 % (2514423)------------------------------
% 144.47/20.84 % (2514423)------------------------------
% 144.47/20.84 % (2514425)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=1184404705:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2832 on theBenchmark for (2832ds/1352Mi)
% 144.47/20.84 % (2514425)Instruction limit reached!
% 144.47/20.84 % (2514425)------------------------------
% 144.47/20.84 % (2514425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.47/20.84 % (2514425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.47/20.84 % (2514425)CaDiCaL version: 2.1.3
% 144.47/20.84 % (2514425)Termination reason: Instruction limit
% 144.47/20.84 % (2514425)Termination phase: Saturation
% 144.47/20.84 % (2514425)Time elapsed: 0.520 s
% 144.47/20.84 % (2514425)Peak memory usage: 13 MB
% 144.47/20.84 % (2514425)Instructions burned: 1354 (million)
% 144.47/20.84 % (2514427)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=791515925:i=2535:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2827 on theBenchmark for (2827ds/2535Mi)
% 144.47/20.84 % (2514427)Instruction limit reached!
% 144.47/20.84 % (2514427)------------------------------
% 144.47/20.84 % (2514427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.47/20.84 % (2514427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.47/20.84 % (2514427)CaDiCaL version: 2.1.3
% 144.47/20.84 % (2514427)Termination reason: Instruction limit
% 144.47/20.84 % (2514427)Termination phase: Saturation
% 144.47/20.84 % (2514427)Time elapsed: 0.994 s
% 144.47/20.84 % (2514427)Peak memory usage: 14 MB
% 144.47/20.84 % (2514427)Instructions burned: 2536 (million)
% 144.47/20.84 % (2514429)dis+1010_16_sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_max:lma=off:uwa=interpreted_only:random_seed=1065546537:i=11819:av=off:fsr=off:rtra=on:ixr=off_2817 on theBenchmark for (2817ds/11819Mi)
% 152.80/21.89 % (2514397)Instruction limit reached!
% 152.80/21.89 % (2514397)------------------------------
% 152.80/21.89 % (2514397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.80/21.89 % (2514397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.80/21.89 % (2514397)CaDiCaL version: 2.1.3
% 152.80/21.89 % (2514397)Termination reason: Instruction limit
% 152.80/21.89 % (2514397)Termination phase: Saturation
% 152.80/21.89 % (2514397)Time elapsed: 2.958 s
% 152.80/21.89 % (2514397)Peak memory usage: 15 MB
% 152.80/21.89 % (2514397)Instructions burned: 7920 (million)
% 152.80/21.89 % (2514431)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=888497150:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2814 on theBenchmark for (2814ds/908Mi)
% 152.80/21.89 % (2514431)Instruction limit reached!
% 152.80/21.89 % (2514431)------------------------------
% 152.80/21.89 % (2514431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.80/21.89 % (2514431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.80/21.89 % (2514431)CaDiCaL version: 2.1.3
% 152.80/21.89 % (2514431)Termination reason: Instruction limit
% 152.80/21.89 % (2514431)Termination phase: Saturation
% 152.80/21.89 % (2514431)Time elapsed: 0.431 s
% 152.80/21.89 % (2514431)Peak memory usage: 15 MB
% 152.80/21.89 % (2514431)Instructions burned: 910 (million)
% 152.80/21.89 % (2514433)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=128294228:i=2395:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2809 on theBenchmark for (2809ds/2395Mi)
% 152.80/21.89 % (2514264)Instruction limit reached!
% 152.80/21.89 % (2514264)------------------------------
% 152.80/21.89 % (2514264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.80/21.89 % (2514264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.80/21.89 % (2514264)CaDiCaL version: 2.1.3
% 152.80/21.89 % (2514264)Termination reason: Instruction limit
% 152.80/21.89 % (2514264)Termination phase: Saturation
% 152.80/21.89 % (2514264)Time elapsed: 6.861 s
% 152.80/21.89 % (2514264)Peak memory usage: 24 MB
% 152.80/21.89 % (2514264)Instructions burned: 46933 (million)
% 152.80/21.89 % (2514435)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 152.80/21.89 % (2514435)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 152.80/21.89 % (2514435)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=402099420:i=432:rtra=on:fsd=on_2806 on theBenchmark for (2806ds/432Mi)
% 152.80/21.89 % (2514435)Instruction limit reached!
% 152.80/21.89 % (2514435)------------------------------
% 152.80/21.89 % (2514435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.80/21.89 % (2514435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.80/21.89 % (2514435)CaDiCaL version: 2.1.3
% 152.80/21.89 % (2514435)Termination reason: Instruction limit
% 152.80/21.89 % (2514435)Termination phase: Saturation
% 152.80/21.89 % (2514435)Time elapsed: 0.091 s
% 152.80/21.89 % (2514435)Peak memory usage: 12 MB
% 152.80/21.89 % (2514435)Instructions burned: 437 (million)
% 152.80/21.89 % (2514437)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
% 152.80/21.89 % (2514437)dis+1002_1024_sil=128000:tgt=ground:drc=off:fde=unused:cnfonf=lazy_gen:si=on:fd=off:foolp=on:nwc=0.5:random_seed=3121694903:uwa_fpi=on:i=13442:s2at=5:add=on:aac=none:piset=all:hud=15:bd=preordered:ins=25:rtra=on:ss=axioms_2805 on theBenchmark for (2805ds/13442Mi)
% 152.80/21.89 % (2514437)Refutation not found, incomplete strategy
% 152.80/21.89 % (2514437)------------------------------
% 152.80/21.89 % (2514437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 152.80/21.89 % (2514437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.80/21.89 % (2514437)CaDiCaL version: 2.1.3
% 152.80/21.89 % (2514437)Termination reason: Refutation not found, incomplete strategy
% 152.80/21.89 % (2514437)Time elapsed: 0.0000 s
% 152.80/21.89 % (2514437)Peak memory usage: 11 MB
% 152.80/21.89 % (2514437)Instructions burned: 1 (million)
% 152.80/21.89 % (2514437)------------------------------
% 159.54/23.03 % (2514437)------------------------------
% 159.54/23.03 % (2514439)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3942583975:i=4714:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2805 on theBenchmark for (2805ds/4714Mi)
% 159.54/23.03 % (2514412)Instruction limit reached!
% 159.54/23.03 % (2514412)------------------------------
% 159.54/23.03 % (2514412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.54/23.03 % (2514412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.54/23.03 % (2514412)CaDiCaL version: 2.1.3
% 159.54/23.03 % (2514412)Termination reason: Instruction limit
% 159.54/23.03 % (2514412)Termination phase: Saturation
% 159.54/23.03 % (2514412)Time elapsed: 3.274 s
% 159.54/23.03 % (2514412)Peak memory usage: 18 MB
% 159.54/23.03 % (2514412)Instructions burned: 9107 (million)
% 159.54/23.03 % (2514441)dis+1002_1_si=on:fd=off:nwc=1:random_seed=3380877008:st=2.5:i=2185:rtra=on:ss=axioms_2802 on theBenchmark for (2802ds/2185Mi)
% 159.54/23.03 % (2514441)Refutation not found, incomplete strategy
% 159.54/23.03 % (2514441)------------------------------
% 159.54/23.03 % (2514441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.54/23.03 % (2514441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.54/23.03 % (2514441)CaDiCaL version: 2.1.3
% 159.54/23.03 % (2514441)Termination reason: Refutation not found, incomplete strategy
% 159.54/23.03 % (2514441)Time elapsed: 0.001 s
% 159.54/23.03 % (2514441)Peak memory usage: 12 MB
% 159.54/23.03 % (2514441)Instructions burned: 1 (million)
% 159.54/23.03 % (2514441)------------------------------
% 159.54/23.03 % (2514441)------------------------------
% 159.54/23.03 % (2514443)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 159.54/23.03 % (2514443)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 159.54/23.03 % (2514443)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
% 159.54/23.03 % (2514443)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 159.54/23.03 % (2514443)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=2012262494:hsqr=4,1:avsq=on:cond=on:i=9350:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2801 on theBenchmark for (2801ds/9350Mi)
% 159.54/23.03 % (2514443)Refutation not found, incomplete strategy
% 159.54/23.03 % (2514443)------------------------------
% 159.54/23.03 % (2514443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.54/23.03 % (2514443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.54/23.03 % (2514443)CaDiCaL version: 2.1.3
% 159.54/23.03 % (2514443)Termination reason: Refutation not found, incomplete strategy
% 159.54/23.03 % (2514443)Time elapsed: 0.001 s
% 159.54/23.03 % (2514443)Peak memory usage: 11 MB
% 159.54/23.03 % (2514443)Instructions burned: 1 (million)
% 159.54/23.03 % (2514443)------------------------------
% 159.54/23.03 % (2514443)------------------------------
% 159.54/23.03 % (2514445)lrs+1002_32:1_sil=128000:si=on:uwa=off:random_seed=1477369537:s2a=on:i=17612:s2at=3:bd=preordered:rtra=on_2801 on theBenchmark for (2801ds/17612Mi)
% 159.54/23.03 % (2514433)Instruction limit reached!
% 159.54/23.03 % (2514433)------------------------------
% 159.54/23.03 % (2514433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 159.54/23.03 % (2514433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 159.54/23.03 % (2514433)CaDiCaL version: 2.1.3
% 159.54/23.03 % (2514433)Termination reason: Instruction limit
% 159.54/23.03 % (2514433)Termination phase: Saturation
% 159.54/23.03 % (2514433)Time elapsed: 0.808 s
% 159.54/23.03 % (2514433)Peak memory usage: 15 MB
% 159.54/23.03 % (2514433)Instructions burned: 2395 (million)
% 159.54/23.03 % (2514447)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=2743371255:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2801 on theBenchmark for (2801ds/20626Mi)
% 159.54/23.03 % (2514439)Instruction limit reached!
% 159.54/23.03 % (2514439)------------------------------
% 159.54/23.03 % (2514439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.01/25.63 % (2514439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.01/25.63 % (2514439)CaDiCaL version: 2.1.3
% 180.01/25.63 % (2514439)Termination reason: Instruction limit
% 180.01/25.63 % (2514439)Termination phase: Saturation
% 180.01/25.63 % (2514439)Time elapsed: 1.152 s
% 180.01/25.63 % (2514439)Peak memory usage: 21 MB
% 180.01/25.63 % (2514439)Instructions burned: 4715 (million)
% 180.01/25.63 % (2514449)WARNING Broken Constraint: if sine_to_age_generality_threshold(64) 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
% 180.01/25.63 % (2514262)Instruction limit reached!
% 180.01/25.63 % (2514262)------------------------------
% 180.01/25.63 % (2514262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.01/25.63 % (2514262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.01/25.63 % (2514262)CaDiCaL version: 2.1.3
% 180.01/25.63 % (2514262)Termination reason: Instruction limit
% 180.01/25.63 % (2514262)Termination phase: Saturation
% 180.01/25.63 % (2514262)Time elapsed: 8.676 s
% 180.01/25.63 % (2514262)Peak memory usage: 21 MB
% 180.01/25.63 % (2514262)Instructions burned: 21003 (million)
% 180.01/25.63 % (2514449)lrs+1002_8:1_to=lpo:sil=128000:fde=unused:cnfonf=lazy_not_be_gen:si=on:sp=reverse_frequency:uwa=interpreted_only:s2agt=64:random_seed=4243094409:i=43040:fgj=on:bd=all:nm=16:rtra=on_2793 on theBenchmark for (2793ds/43040Mi)
% 180.01/25.63 % (2514451)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2393077169:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2793 on theBenchmark for (2793ds/515Mi)
% 180.01/25.63 % (2514451)Refutation not found, incomplete strategy
% 180.01/25.63 % (2514451)------------------------------
% 180.01/25.63 % (2514451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.01/25.63 % (2514451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.01/25.63 % (2514451)CaDiCaL version: 2.1.3
% 180.01/25.63 % (2514451)Termination reason: Refutation not found, incomplete strategy
% 180.01/25.63 % (2514451)Time elapsed: 0.001 s
% 180.01/25.63 % (2514451)Peak memory usage: 12 MB
% 180.01/25.63 % (2514451)Instructions burned: 1 (million)
% 180.01/25.63 % (2514451)------------------------------
% 180.01/25.63 % (2514451)------------------------------
% 180.01/25.63 % (2514453)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=613580716:st=1.5:i=4535:rtra=on:ss=axioms_2793 on theBenchmark for (2793ds/4535Mi)
% 180.01/25.63 % (2514453)Refutation not found, incomplete strategy
% 180.01/25.63 % (2514453)------------------------------
% 180.01/25.63 % (2514453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.01/25.63 % (2514453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.01/25.63 % (2514453)CaDiCaL version: 2.1.3
% 180.01/25.63 % (2514453)Termination reason: Refutation not found, incomplete strategy
% 180.01/25.63 % (2514453)Time elapsed: 0.001 s
% 180.01/25.63 % (2514453)Peak memory usage: 11 MB
% 180.01/25.63 % (2514453)Instructions burned: 2 (million)
% 180.01/25.63 % (2514453)------------------------------
% 180.01/25.63 % (2514453)------------------------------
% 180.01/25.63 % (2514455)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=1904035590:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2793 on theBenchmark for (2793ds/1950Mi)
% 180.01/25.63 % (2514417)Instruction limit reached!
% 180.01/25.63 % (2514417)------------------------------
% 180.01/25.63 % (2514417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.01/25.63 % (2514417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.01/25.63 % (2514417)CaDiCaL version: 2.1.3
% 180.01/25.63 % (2514417)Termination reason: Instruction limit
% 180.01/25.63 % (2514417)Termination phase: Saturation
% 180.01/25.63 % (2514417)Time elapsed: 4.784 s
% 180.01/25.63 % (2514417)Peak memory usage: 29 MB
% 180.01/25.63 % (2514417)Instructions burned: 10719 (million)
% 180.01/25.63 % (2514457)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=3294462419:hsq=on:hsqr=16,1:s2a=on:i=17789:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2786 on theBenchmark for (2786ds/17789Mi)
% 180.01/25.63 % (2514455)Instruction limit reached!
% 180.01/25.63 % (2514455)------------------------------
% 180.01/25.63 % (2514455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.01/25.63 % (2514455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.57/30.09 % (2514455)CaDiCaL version: 2.1.3
% 211.57/30.09 % (2514455)Termination reason: Instruction limit
% 211.57/30.09 % (2514455)Termination phase: Saturation
% 211.57/30.09 % (2514455)Time elapsed: 0.980 s
% 211.57/30.09 % (2514455)Peak memory usage: 18 MB
% 211.57/30.09 % (2514455)Instructions burned: 1952 (million)
% 211.57/30.09 % (2514459)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 211.57/30.09 % (2514459)ott+1002_16_sil=128000:si=on:random_seed=3869994719:hsqr=1,3:i=1064:add=on:rtra=on:fe=abstraction_2783 on theBenchmark for (2783ds/1064Mi)
% 211.57/30.09 % (2514260)Instruction limit reached!
% 211.57/30.09 % (2514260)------------------------------
% 211.57/30.09 % (2514260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 211.57/30.09 % (2514260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.57/30.09 % (2514260)CaDiCaL version: 2.1.3
% 211.57/30.09 % (2514260)Termination reason: Instruction limit
% 211.57/30.09 % (2514260)Termination phase: Saturation
% 211.57/30.09 % (2514260)Time elapsed: 11.314 s
% 211.57/30.09 % (2514260)Peak memory usage: 34 MB
% 211.57/30.09 % (2514260)Instructions burned: 26871 (million)
% 211.57/30.09 % (2514461)dis+10_8:1_si=on:acc=on:uwa=interpreted_only:s2agt=64:random_seed=2773081605:s2a=on:i=5262:kws=inv_frequency:bd=all:nm=0:rtra=on_2780 on theBenchmark for (2780ds/5262Mi)
% 211.57/30.09 % (2514459)Instruction limit reached!
% 211.57/30.09 % (2514459)------------------------------
% 211.57/30.09 % (2514459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 211.57/30.09 % (2514459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.57/30.09 % (2514459)CaDiCaL version: 2.1.3
% 211.57/30.09 % (2514459)Termination reason: Instruction limit
% 211.57/30.09 % (2514459)Termination phase: Saturation
% 211.57/30.09 % (2514459)Time elapsed: 0.364 s
% 211.57/30.09 % (2514459)Peak memory usage: 14 MB
% 211.57/30.09 % (2514459)Instructions burned: 1065 (million)
% 211.57/30.09 % (2514463)ott+10_64_sil=128000:si=on:spb=goal:uwa=one_side_constant:gs=on:flr=on:random_seed=10447047:hsq=on:hsqr=1,4:i=6827:doe=on:ep=RS:bd=all:fsr=off:rtra=on:fe=abstraction:ss=axioms:sgt=8_2779 on theBenchmark for (2779ds/6827Mi)
% 211.57/30.09 % (2514463)Refutation not found, incomplete strategy
% 211.57/30.09 % (2514463)------------------------------
% 211.57/30.09 % (2514463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 211.57/30.09 % (2514463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.57/30.09 % (2514463)CaDiCaL version: 2.1.3
% 211.57/30.09 % (2514463)Termination reason: Refutation not found, incomplete strategy
% 211.57/30.09 % (2514463)Time elapsed: 0.001 s
% 211.57/30.09 % (2514463)Peak memory usage: 11 MB
% 211.57/30.09 % (2514463)Instructions burned: 1 (million)
% 211.57/30.09 % (2514463)------------------------------
% 211.57/30.09 % (2514463)------------------------------
% 211.57/30.09 % (2514465)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=3280864446:cond=on:i=1201:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2779 on theBenchmark for (2779ds/1201Mi)
% 211.57/30.09 % (2514465)Refutation not found, incomplete strategy
% 211.57/30.09 % (2514465)------------------------------
% 211.57/30.09 % (2514465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 211.57/30.09 % (2514465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 211.57/30.09 % (2514465)CaDiCaL version: 2.1.3
% 211.57/30.09 % (2514465)Termination reason: Refutation not found, incomplete strategy
% 211.57/30.09 % (2514465)Time elapsed: 0.001 s
% 211.57/30.09 % (2514465)Peak memory usage: 11 MB
% 211.57/30.09 % (2514465)Instructions burned: 1 (million)
% 211.57/30.09 % (2514465)------------------------------
% 211.57/30.09 % (2514465)------------------------------
% 211.57/30.09 % (2514467)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(discount) is equal to lrs
% 211.57/30.09 % (2514467)dis+1010_1_sil=128000:si=on:ser=on:sp=const_min:lma=off:uwa=off:rp=on:nwc=1:s2agt=30:sac=on:random_seed=3269545406:lrd=on:s2a=on:i=8136:bd=all:rtra=on:rawr=on_2779 on theBenchmark for (2779ds/8136Mi)
% 211.57/30.09 % (2514429)Instruction limit reached!
% 211.57/30.09 % (2514429)------------------------------
% 211.57/30.09 % (2514429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 211.57/30.09 % (2514429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514429)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514429)Termination reason: Instruction limit
% 220.49/31.38 % (2514429)Termination phase: Saturation
% 220.49/31.38 % (2514429)Time elapsed: 4.508 s
% 220.49/31.38 % (2514429)Peak memory usage: 15 MB
% 220.49/31.38 % (2514429)Instructions burned: 11820 (million)
% 220.49/31.38 % (2514469)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2065411171:st=2.5:i=5142:sd=2:rtra=on:ss=axioms_2771 on theBenchmark for (2771ds/5142Mi)
% 220.49/31.38 % (2514469)Refutation not found, incomplete strategy
% 220.49/31.38 % (2514469)------------------------------
% 220.49/31.38 % (2514469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514469)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514469)Termination reason: Refutation not found, incomplete strategy
% 220.49/31.38 % (2514469)Time elapsed: 0.001 s
% 220.49/31.38 % (2514469)Peak memory usage: 11 MB
% 220.49/31.38 % (2514469)Instructions burned: 1 (million)
% 220.49/31.38 % (2514469)------------------------------
% 220.49/31.38 % (2514469)------------------------------
% 220.49/31.38 % (2514471)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=777535210:i=7006:add=on:sd=4:fsr=off:rtra=on:ss=included_2771 on theBenchmark for (2771ds/7006Mi)
% 220.49/31.38 % (2514461)Instruction limit reached!
% 220.49/31.38 % (2514461)------------------------------
% 220.49/31.38 % (2514461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514461)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514461)Termination reason: Instruction limit
% 220.49/31.38 % (2514461)Termination phase: Saturation
% 220.49/31.38 % (2514461)Time elapsed: 2.187 s
% 220.49/31.38 % (2514461)Peak memory usage: 15 MB
% 220.49/31.38 % (2514461)Instructions burned: 5264 (million)
% 220.49/31.38 % (2514473)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=476926671:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=12395:avsqr=1,16:aac=none:hud=3:rtra=on_2758 on theBenchmark for (2758ds/12395Mi)
% 220.49/31.38 % (2514445)Instruction limit reached!
% 220.49/31.38 % (2514445)------------------------------
% 220.49/31.38 % (2514445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514445)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514445)Termination reason: Instruction limit
% 220.49/31.38 % (2514445)Termination phase: Saturation
% 220.49/31.38 % (2514445)Time elapsed: 4.739 s
% 220.49/31.38 % (2514445)Peak memory usage: 18 MB
% 220.49/31.38 % (2514445)Instructions burned: 17614 (million)
% 220.49/31.38 % (2514475)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 220.49/31.38 % (2514475)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=353236537:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2754 on theBenchmark for (2754ds/4201Mi)
% 220.49/31.38 % (2514475)Refutation not found, incomplete strategy
% 220.49/31.38 % (2514475)------------------------------
% 220.49/31.38 % (2514475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514475)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514475)Termination reason: Refutation not found, incomplete strategy
% 220.49/31.38 % (2514475)Time elapsed: 0.002 s
% 220.49/31.38 % (2514475)Peak memory usage: 12 MB
% 220.49/31.38 % (2514475)Instructions burned: 4 (million)
% 220.49/31.38 % (2514475)------------------------------
% 220.49/31.38 % (2514475)------------------------------
% 220.49/31.38 % (2514477)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=3670075588:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=125182:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2753 on theBenchmark for (2753ds/125182Mi)
% 220.49/31.38 % (2514467)Instruction limit reached!
% 220.49/31.38 % (2514467)------------------------------
% 220.49/31.38 % (2514467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514467)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514467)Termination reason: Instruction limit
% 220.49/31.38 % (2514467)Termination phase: Saturation
% 220.49/31.38 % (2514467)Time elapsed: 3.295 s
% 220.49/31.38 % (2514467)Peak memory usage: 15 MB
% 220.49/31.38 % (2514467)Instructions burned: 8136 (million)
% 220.49/31.38 % (2514479)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=202826605:hsq=on:hsqr=16,1:s2a=on:i=15072:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2745 on theBenchmark for (2745ds/15072Mi)
% 220.49/31.38 % (2514471)Instruction limit reached!
% 220.49/31.38 % (2514471)------------------------------
% 220.49/31.38 % (2514471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514471)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514471)Termination reason: Instruction limit
% 220.49/31.38 % (2514471)Termination phase: Saturation
% 220.49/31.38 % (2514471)Time elapsed: 2.886 s
% 220.49/31.38 % (2514471)Peak memory usage: 17 MB
% 220.49/31.38 % (2514471)Instructions burned: 7006 (million)
% 220.49/31.38 % (2514481)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=2417117993:i=45682:fsr=off:rtra=on:ixr=off_2742 on theBenchmark for (2742ds/45682Mi)
% 220.49/31.38 % (2514473)Instruction limit reached!
% 220.49/31.38 % (2514473)------------------------------
% 220.49/31.38 % (2514473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514473)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514473)Termination reason: Instruction limit
% 220.49/31.38 % (2514473)Termination phase: Saturation
% 220.49/31.38 % (2514473)Time elapsed: 4.261 s
% 220.49/31.38 % (2514473)Peak memory usage: 14 MB
% 220.49/31.38 % (2514473)Instructions burned: 12397 (million)
% 220.49/31.38 % (2514483)ott+1011_28_anc=all_dependent:cnfonf=lazy_gen:si=on:fdtod=off:sp=reverse_frequency:uwa=one_side_interpreted:fd=preordered:nwc=1:random_seed=3808746403:i=5804:kws=arity_squared:bd=all:rtra=on:ntd=on_2715 on theBenchmark for (2715ds/5804Mi)
% 220.49/31.38 % (2514483)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 220.49/31.38 % (2514457)Instruction limit reached!
% 220.49/31.38 % (2514457)------------------------------
% 220.49/31.38 % (2514457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514457)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514457)Termination reason: Instruction limit
% 220.49/31.38 % (2514457)Termination phase: Saturation
% 220.49/31.38 % (2514457)Time elapsed: 8.369 s
% 220.49/31.38 % (2514457)Peak memory usage: 61 MB
% 220.49/31.38 % (2514457)Instructions burned: 17790 (million)
% 220.49/31.38 % (2514711)lrs+1010_8:1_sil=128000:fde=none:e2e=on:si=on:spb=goal:bsr=unit_only:uwa=off:nwc=3:cs=on:random_seed=4293991043:i=13233:aac=none:nm=64:ins=7:rtra=on_2702 on theBenchmark for (2702ds/13233Mi)
% 220.49/31.38 % (2514449)Instruction limit reached!
% 220.49/31.38 % (2514449)------------------------------
% 220.49/31.38 % (2514449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514449)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514449)Termination reason: Instruction limit
% 220.49/31.38 % (2514449)Termination phase: Saturation
% 220.49/31.38 % (2514449)Time elapsed: 9.229 s
% 220.49/31.38 % (2514449)Peak memory usage: 24 MB
% 220.49/31.38 % (2514449)Instructions burned: 43041 (million)
% 220.49/31.38 % (2514731)WARNING Broken Constraint: if ho_split_queue_cutoffs(30) has been set then ho_split_queue(off) is equal to on
% 220.49/31.38 % (2514731)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
% 220.49/31.38 % (2514731)WARNING Broken Constraint: if ho_split_queue_ratios(7,1) has been set then ho_split_queue(off) is equal to on
% 220.49/31.38 % (2514731)WARNING Broken Constraint: if sine_to_age_tolerance(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
% 220.49/31.38 % (2514731)WARNING Broken Constraint: if ho_split_queue_appvar_weight(4) has been set then ho_split_queue(off) is equal to on
% 220.49/31.38 % (2514731)ott-1010_5_sil=128000:tgt=full:hsqc=30:si=on:sp=occurrence:uwa=off:nwc=1:s2agt=16:random_seed=4015875343:hsqr=7,1:cond=on:i=15142:s2at=10:kws=inv_precedence:hsqaw=4:fgj=on:bd=preordered:av=off:rtra=on_2701 on theBenchmark for (2701ds/15142Mi)
% 220.49/31.38 % (2514479)Instruction limit reached!
% 220.49/31.38 % (2514479)------------------------------
% 220.49/31.38 % (2514479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514479)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514479)Termination reason: Instruction limit
% 220.49/31.38 % (2514479)Termination phase: Saturation
% 220.49/31.38 % (2514479)Time elapsed: 4.708 s
% 220.49/31.38 % (2514479)Peak memory usage: 19 MB
% 220.49/31.38 % (2514479)Instructions burned: 15073 (million)
% 220.49/31.38 % (2514802)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=2257381540:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2698 on theBenchmark for (2698ds/414Mi)
% 220.49/31.38 % (2514802)Refutation not found, incomplete strategy
% 220.49/31.38 % (2514802)------------------------------
% 220.49/31.38 % (2514802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514802)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514802)Termination reason: Refutation not found, incomplete strategy
% 220.49/31.38 % (2514802)Time elapsed: 0.004 s
% 220.49/31.38 % (2514802)Peak memory usage: 12 MB
% 220.49/31.38 % (2514802)Instructions burned: 3 (million)
% 220.49/31.38 % (2514802)------------------------------
% 220.49/31.38 % (2514802)------------------------------
% 220.49/31.38 % (2514814)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=919254839:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2698 on theBenchmark for (2698ds/1324Mi)
% 220.49/31.38 % (2514814)Refutation not found, incomplete strategy
% 220.49/31.38 % (2514814)------------------------------
% 220.49/31.38 % (2514814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 220.49/31.38 % (2514814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 220.49/31.38 % (2514814)CaDiCaL version: 2.1.3
% 220.49/31.38 % (2514814)Termination reason: Refutation not found, incomplete strategy
% 220.49/31.38 % (2514814)Time elapsed: 0.003 s
% 220.49/31.38 % (2514814)Peak memory usage: 12 MB
% 220.49/31.38 % (2514814)Instructions burned: 2 (million)
% 220.49/31.38 % (2514814)------------------------------
% 220.49/31.38 % (2514814)------------------------------
% 220.49/31.38 % (2514826)lrs+21_1_sil=128000:plsq=on:drc=off:plsqc=3:si=on:sp=weighted_frequency:lma=off:plsqr=140,31:lcm=reverse:uwa=one_side_interpreted:lwlo=on:random_seed=303983746:i=9105:kws=inv_precedence:piset=and:rtra=on:ss=included:ntd=on_2697 on theBenchmark for (2697ds/9105Mi)
% 220.49/31.38 % (2514447) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2513652-2514447"...
% 220.49/31.38 % (2514447)...printing done.
% 220.49/31.38 % (2514447)Refutation found. Thanks to Tanya!
% 220.49/31.38 % SZS status Unsatisfiable for theBenchmark
% 220.49/31.38 % SZS output start Proof for theBenchmark
% See solution above
% 221.16/31.51 % (2514447)------------------------------
% 221.16/31.51 % (2514447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 221.16/31.51 % (2514447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 221.16/31.51 % (2514447)CaDiCaL version: 2.1.3
% 221.16/31.51 % (2514447)Termination reason: Refutation
% 221.16/31.51 % (2514447)Time elapsed: 11.258 s
% 221.16/31.51 % (2514447)Peak memory usage: 39 MB
% 221.16/31.51 % (2514447)Instructions burned: 21198 (million)
% 221.16/31.51 % (2513652)Success in time 31.275 s
% 221.16/31.51 % Vampire exiting
%------------------------------------------------------------------------------