%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA100^1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:52:55 AM UTC 2026
% Result : Unsatisfiable 25.17s 4.38s
% Output : Refutation 26.35s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( ( ^ [X0: $i > $i] :
! [X2: $i,X1: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) )
= inj ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) )
= surj ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X3: $i,X1: $i,X0: $i,X2: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X1: $i,X0: $i,X2: $i,X4: $i,X3: $i] :
( ~ ( b @ X2 @ X4 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X0 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X2 @ X3 )
| ~ ( b @ X4 @ X3 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X1 @ X3 ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X1 )
| ~ ( r @ X2 @ X0 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f4]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f14,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f16,plain,
( ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) )
= inj ),
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,
! [X4: $i,X3: $i,X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(flattening,[],[f8]) ).
thf(f19,plain,
! [X2: $i,X0: $i,X3: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X0 )
!= $true ) ),
inference(flattening,[],[f10]) ).
thf(f20,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f14]) ).
thf(f21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X3 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X3 @ X1 ) ) ),
inference(rectify,[],[f19]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X4 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X3 @ X1 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f23,plain,
( ( $true
!= ( surj @ sK0 ) )
& ( $true
= ( inj @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
thf(f24,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X3 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X4 @ X1 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f28,plain,
( $true
= ( inj @ sK0 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
( $true
!= ( surj @ sK0 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f33,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 )
!= $true ),
inference(definition_unfolding,[],[f29,f30]) ).
thf(f34,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f28,f24]) ).
thf(f35,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f36,plain,
( $false
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f35]) ).
thf(f37,plain,
( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) ) ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X1: $i] :
( $false
= ( ( sK0 @ X1 )
= sK1 ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X1: $i] :
( ( sK0 @ X1 )
!= sK1 ),
inference(equality_proxy_clausification,[],[f39]) ).
thf(f41,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f42,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f43,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) ) ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) )
| ( ( X2 = X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( ( ( X2 = X1 )
= $true )
| ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f25,f40]) ).
thf(f50,plain,
! [X0: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f25,f40]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f25,f48]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f26,f25]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f26,f49]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f58,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(constrained_superposition,[],[f57,f49]) ).
thf(f60,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) ),
inference(duplicate_literal_removal,[],[f58]) ).
thf(f61,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f63,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true ) ),
inference(constrained_superposition,[],[f61,f25]) ).
thf(f64,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f63]) ).
thf(f77,definition,
( spl2_3
<=> ! [X1: $i] :
( $true
!= ( r @ sK1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
thf(f78,plain,
( ! [X1: $i] :
( $true
!= ( r @ sK1 @ X1 ) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f80,definition,
( spl2_4
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f81,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ X2 @ sK1 ) ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f83,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f78,f50]) ).
thf(f84,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f78,f25]) ).
thf(f85,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f84]) ).
thf(f86,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f87,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ X3 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f27,f86]) ).
thf(f88,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X3 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f107,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f108,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f109,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( X0 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f111,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f61,f51]) ).
thf(f115,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f111]) ).
thf(f119,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(constrained_superposition,[],[f26,f107]) ).
thf(f120,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f119]) ).
thf(f124,definition,
( spl2_7
<=> ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f125,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f127,definition,
( spl2_8
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f128,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f127]) ).
thf(f132,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f120,f107]) ).
thf(f139,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(duplicate_literal_removal,[],[f132]) ).
thf(f140,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f139]) ).
thf(f143,plain,
! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f140,f50]) ).
thf(f146,plain,
! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f143]) ).
thf(f159,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
inference(constrained_superposition,[],[f26,f108]) ).
thf(f162,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f159]) ).
thf(f168,definition,
( spl2_10
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f169,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f168]) ).
thf(f172,definition,
( spl2_11
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f173,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f172]) ).
thf(f175,definition,
( spl2_12
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f176,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f175]) ).
thf(f177,plain,
( spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f162,f175,f172]) ).
thf(f182,definition,
( spl2_14
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f183,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_14 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f186,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f173,f49]) ).
thf(f188,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f173,f25]) ).
thf(f189,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f188]) ).
thf(f190,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f186]) ).
thf(f207,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_3
| ~ spl2_11 ),
inference(constrained_superposition,[],[f88,f189]) ).
thf(f208,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_3
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f207]) ).
thf(f212,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true ) )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f208,f125]) ).
thf(f214,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true ) )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_11 ),
inference(constrained_superposition,[],[f212,f125]) ).
thf(f219,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f214]) ).
thf(f221,definition,
( spl2_15
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f222,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f221]) ).
thf(f224,definition,
( spl2_16
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f225,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f224]) ).
thf(f226,plain,
( spl2_15
| spl2_16
| ~ spl2_3
| ~ spl2_7
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f219,f172,f124,f77,f224,f221]) ).
thf(f231,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_7 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f237,plain,
( spl2_7
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f190,f172,f124]) ).
thf(f249,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f128,f49]) ).
thf(f252,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f249]) ).
thf(f265,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X3 )
!= $true ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f27,f169]) ).
thf(f268,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f265]) ).
thf(f270,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_10 ),
inference(constrained_superposition,[],[f268,f252]) ).
thf(f273,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_10 ),
inference(duplicate_literal_removal,[],[f270]) ).
thf(f274,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_8
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f273]) ).
thf(f277,definition,
( spl2_20
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f278,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f280,definition,
( spl2_21
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f281,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f280]) ).
thf(f282,plain,
( spl2_20
| spl2_21
| ~ spl2_8
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f274,f168,f127,f280,f277]) ).
thf(f296,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( sK1 = X0 ) ),
inference(constrained_superposition,[],[f64,f25]) ).
thf(f299,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f296]) ).
thf(f301,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ X1 ) )
!= $true )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f55,f40]) ).
thf(f304,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f55,f25]) ).
thf(f305,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f55,f49]) ).
thf(f310,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f304]) ).
thf(f313,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f305]) ).
thf(f316,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| spl2_7 ),
inference(constrained_superposition,[],[f231,f299]) ).
thf(f321,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| spl2_7 ),
inference(trivial_inequality_removal,[],[f316]) ).
thf(f331,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( X2 = X3 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X3 )
= $true )
| ( X0 = X1 )
| ( X0 = X3 )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
= ( b @ X2 @ X3 ) ) ),
inference(constrained_superposition,[],[f310,f25]) ).
thf(f335,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ X1 @ X2 )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f310,f108]) ).
thf(f337,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X2 = X3 )
| ( X0 = X3 )
| ( ( b @ X0 @ X3 )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ X2 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f331]) ).
thf(f340,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f335]) ).
thf(f344,definition,
( spl2_22
<=> ! [X2: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( X1 = X2 )
| ( ( b @ X1 @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f345,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( X1 = X2 )
| ( ( sK0 @ sK1 )
= X2 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ X2 )
= $true ) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f344]) ).
thf(f347,definition,
( spl2_23
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f348,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f347]) ).
thf(f349,plain,
( spl2_22
| spl2_23 ),
inference(avatar_split_clause,[],[f340,f347,f344]) ).
thf(f350,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f345,f25]) ).
thf(f357,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( X0 = X1 ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f350]) ).
thf(f360,plain,
! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f115,f40]) ).
thf(f362,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f115,f49]) ).
thf(f365,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f362]) ).
thf(f369,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f365,f40]) ).
thf(f370,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f365,f40]) ).
thf(f407,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f109,f40]) ).
thf(f427,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X2 )
= $true )
| ( $true != $true )
| ( X1 = X2 )
| ( X0 = X3 )
| ( ( b @ X1 @ X3 )
= $true )
| ( ( b @ X0 @ X3 )
= $true )
| ( X1 = X3 ) ),
inference(constrained_superposition,[],[f337,f25]) ).
thf(f435,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( ( b @ X0 @ X3 )
= $true )
| ( X0 = X3 )
| ( X1 = X3 ) ),
inference(trivial_inequality_removal,[],[f427]) ).
thf(f440,definition,
( spl2_24
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f441,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f440]) ).
thf(f452,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_7
| ~ spl2_24 ),
inference(constrained_superposition,[],[f231,f441]) ).
thf(f457,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| spl2_7
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f452]) ).
thf(f460,plain,
( $false
| spl2_7
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f457,f40]) ).
thf(f461,plain,
( spl2_7
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f460]) ).
thf(f498,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( X1 = X2 )
| ( $true != $true )
| ( X0 = X2 )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(equality_factoring,[],[f435]) ).
thf(f502,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X2 @ X1 )
= $true )
| ( $true
= ( b @ X2 @ X0 ) )
| ( X1 = X2 ) ),
inference(duplicate_literal_removal,[],[f498]) ).
thf(f503,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X2 )
| ( ( b @ X2 @ X1 )
= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f502]) ).
thf(f578,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f140,f407]) ).
thf(f579,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f61,f407]) ).
thf(f581,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f313,f407]) ).
thf(f586,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f26,f407]) ).
thf(f588,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f586]) ).
thf(f592,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f578]) ).
thf(f595,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f579]) ).
thf(f596,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f581]) ).
thf(f598,definition,
( spl2_27
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f599,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f598]) ).
thf(f605,definition,
( spl2_29
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
thf(f606,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f605]) ).
thf(f608,definition,
( spl2_30
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).
thf(f609,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f608]) ).
thf(f610,plain,
( spl2_29
| spl2_30 ),
inference(avatar_split_clause,[],[f592,f608,f605]) ).
thf(f612,definition,
( spl2_31
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f613,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f612]) ).
thf(f615,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f606,f107]) ).
thf(f618,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f615]) ).
thf(f622,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f588,f407]) ).
thf(f630,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(duplicate_literal_removal,[],[f622]) ).
thf(f631,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f630]) ).
thf(f636,plain,
! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f631,f50]) ).
thf(f640,plain,
! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f636]) ).
thf(f642,definition,
( spl2_32
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f643,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_32 ),
inference(avatar_component_clause,[],[f642]) ).
thf(f648,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_32 ),
inference(constrained_superposition,[],[f643,f108]) ).
thf(f651,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_32 ),
inference(trivial_inequality_removal,[],[f648]) ).
thf(f654,plain,
( spl2_31
| spl2_32 ),
inference(avatar_split_clause,[],[f651,f642,f612]) ).
thf(f657,definition,
( spl2_34
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
thf(f658,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f657]) ).
thf(f683,definition,
( spl2_35
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
thf(f684,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f683]) ).
thf(f716,definition,
( spl2_38
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X2 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( ( b @ X2 @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).
thf(f717,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X2 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( sK1 = X2 ) )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f716]) ).
thf(f846,definition,
( spl2_43
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_43])],[avatar_definition]) ).
thf(f847,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_43 ),
inference(avatar_component_clause,[],[f846]) ).
thf(f849,definition,
( spl2_44
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).
thf(f850,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f849]) ).
thf(f851,plain,
( spl2_43
| spl2_44 ),
inference(avatar_split_clause,[],[f595,f849,f846]) ).
thf(f852,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
inference(forward_subsumption_resolution,[],[f596,f40]) ).
thf(f856,definition,
( spl2_45
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
thf(f857,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f856]) ).
thf(f859,definition,
( spl2_46
<=> ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
thf(f860,plain,
( ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f859]) ).
thf(f861,plain,
( spl2_45
| spl2_44
| spl2_46 ),
inference(avatar_split_clause,[],[f852,f859,f849,f856]) ).
thf(f903,definition,
( spl2_49
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_49])],[avatar_definition]) ).
thf(f904,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_49 ),
inference(avatar_component_clause,[],[f903]) ).
thf(f974,definition,
( spl2_51
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).
thf(f975,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_51 ),
inference(avatar_component_clause,[],[f974]) ).
thf(f977,definition,
( spl2_52
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_52])],[avatar_definition]) ).
thf(f978,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_52 ),
inference(avatar_component_clause,[],[f977]) ).
thf(f982,definition,
( spl2_53
<=> ! [X2: $i] :
( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_53])],[avatar_definition]) ).
thf(f983,plain,
( ! [X2: $i] :
( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_53 ),
inference(avatar_component_clause,[],[f982]) ).
thf(f988,definition,
( spl2_54
<=> ! [X2: $i] :
( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
thf(f989,plain,
( ! [X2: $i] :
( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f988]) ).
thf(f990,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_49 ),
inference(avatar_component_clause,[],[f903]) ).
thf(f1002,definition,
( spl2_55
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
thf(f1003,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f1002]) ).
thf(f1020,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_43 ),
inference(constrained_superposition,[],[f847,f49]) ).
thf(f1022,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f1020]) ).
thf(f1024,plain,
( spl2_45
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f1022,f846,f856]) ).
thf(f1132,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_51 ),
inference(avatar_component_clause,[],[f974]) ).
thf(f1137,definition,
( spl2_59
<=> ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f1138,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f1137]) ).
thf(f1142,definition,
( spl2_60
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).
thf(f1143,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_60 ),
inference(avatar_component_clause,[],[f1142]) ).
thf(f1187,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_31 ),
inference(avatar_component_clause,[],[f612]) ).
thf(f1203,definition,
( spl2_63
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_63])],[avatar_definition]) ).
thf(f1204,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_63 ),
inference(avatar_component_clause,[],[f1203]) ).
thf(f1226,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_34 ),
inference(constrained_superposition,[],[f618,f658]) ).
thf(f1276,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_34 ),
inference(duplicate_literal_removal,[],[f1226]) ).
thf(f1291,plain,
( spl2_30
| ~ spl2_29
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f1276,f657,f605,f608]) ).
thf(f1578,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_30 ),
inference(avatar_component_clause,[],[f608]) ).
thf(f1583,definition,
( spl2_68
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
thf(f1584,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f1583]) ).
thf(f1601,definition,
( spl2_69
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_69])],[avatar_definition]) ).
thf(f1602,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_69 ),
inference(avatar_component_clause,[],[f1601]) ).
thf(f2058,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f27,f613]) ).
thf(f2063,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f2058]) ).
thf(f2131,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_30
| ~ spl2_31 ),
inference(constrained_superposition,[],[f2063,f609]) ).
thf(f2132,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_8
| ~ spl2_31 ),
inference(constrained_superposition,[],[f2063,f252]) ).
thf(f2138,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_7
| ~ spl2_31 ),
inference(constrained_superposition,[],[f2063,f321]) ).
thf(f2142,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 ) )
| spl2_7
| ~ spl2_31 ),
inference(duplicate_literal_removal,[],[f2138]) ).
thf(f2143,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_7
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f2142]) ).
thf(f2147,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_31 ),
inference(duplicate_literal_removal,[],[f2132]) ).
thf(f2148,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_8
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f2147]) ).
thf(f2150,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_30
| ~ spl2_31 ),
inference(duplicate_literal_removal,[],[f2131]) ).
thf(f2151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_30
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f2150]) ).
thf(f2158,definition,
( spl2_74
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).
thf(f2159,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f2158]) ).
thf(f2160,plain,
( spl2_74
| spl2_20
| ~ spl2_30
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f2151,f612,f608,f277,f2158]) ).
thf(f2319,definition,
( spl2_75
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).
thf(f2320,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_75 ),
inference(avatar_component_clause,[],[f2319]) ).
thf(f2334,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_31 ),
inference(constrained_superposition,[],[f278,f613]) ).
thf(f2344,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f2334]) ).
thf(f2349,plain,
( $false
| ~ spl2_20
| ~ spl2_30
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f2344,f609]) ).
thf(f2350,plain,
( ~ spl2_20
| ~ spl2_30
| ~ spl2_31 ),
inference(avatar_contradiction_clause,[],[f2349]) ).
thf(f2352,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_3
| ~ spl2_74 ),
inference(constrained_superposition,[],[f2159,f85]) ).
thf(f2370,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_3
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f2352]) ).
thf(f2375,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_3
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f2370,f86]) ).
thf(f2378,plain,
( $false
| ~ spl2_3
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f2375,f40]) ).
thf(f2379,plain,
( ~ spl2_3
| ~ spl2_74 ),
inference(avatar_contradiction_clause,[],[f2378]) ).
thf(f2395,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_44 ),
inference(avatar_component_clause,[],[f849]) ).
thf(f2414,definition,
( spl2_85
<=> ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).
thf(f2415,plain,
( ! [X2: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) ) )
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f2414]) ).
thf(f2420,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_7
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f2143,f40]) ).
thf(f2421,plain,
( spl2_20
| spl2_74
| spl2_44
| ~ spl2_8
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f2148,f612,f127,f849,f2158,f277]) ).
thf(f2427,plain,
( spl2_20
| spl2_74
| spl2_34
| spl2_44
| spl2_7
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f2420,f612,f124,f849,f657,f2158,f277]) ).
thf(f2432,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| spl2_44 ),
inference(constrained_superposition,[],[f2395,f299]) ).
thf(f2433,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| spl2_44
| ~ spl2_69 ),
inference(constrained_superposition,[],[f2395,f1602]) ).
thf(f2437,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_44
| ~ spl2_69 ),
inference(trivial_inequality_removal,[],[f2433]) ).
thf(f2438,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_44 ),
inference(trivial_inequality_removal,[],[f2432]) ).
thf(f2442,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_44
| ~ spl2_69 ),
inference(forward_subsumption_resolution,[],[f2437,f40]) ).
thf(f2443,plain,
( spl2_38
| spl2_44 ),
inference(avatar_split_clause,[],[f2438,f849,f716]) ).
thf(f2446,plain,
( $false
| spl2_44
| ~ spl2_69 ),
inference(forward_subsumption_resolution,[],[f2442,f40]) ).
thf(f2447,plain,
( spl2_44
| ~ spl2_69 ),
inference(avatar_contradiction_clause,[],[f2446]) ).
thf(f2458,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_8
| spl2_30 ),
inference(constrained_superposition,[],[f1578,f252]) ).
thf(f2459,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_30 ),
inference(constrained_superposition,[],[f1578,f365]) ).
thf(f2468,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_8
| spl2_30 ),
inference(trivial_inequality_removal,[],[f2458]) ).
thf(f2469,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_30 ),
inference(trivial_inequality_removal,[],[f2459]) ).
thf(f2470,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_20
| ~ spl2_22 ),
inference(constrained_superposition,[],[f278,f357]) ).
thf(f2471,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_10
| ~ spl2_20 ),
inference(constrained_superposition,[],[f278,f169]) ).
thf(f2478,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_20
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f2470]) ).
thf(f2480,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_10
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f2471]) ).
thf(f2486,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_20
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f2478,f503]) ).
thf(f2488,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_8
| ~ spl2_10
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f2480,f252]) ).
thf(f2510,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f606,f107]) ).
thf(f2515,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f2510]) ).
thf(f2575,plain,
( $false
| ~ spl2_8
| ~ spl2_10
| ~ spl2_20
| spl2_44 ),
inference(forward_subsumption_resolution,[],[f2395,f2488]) ).
thf(f2576,plain,
( ~ spl2_8
| ~ spl2_10
| ~ spl2_20
| spl2_44 ),
inference(avatar_contradiction_clause,[],[f2575]) ).
thf(f2592,definition,
( spl2_93
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_93])],[avatar_definition]) ).
thf(f2593,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) ) )
| ~ spl2_93 ),
inference(avatar_component_clause,[],[f2592]) ).
thf(f2602,plain,
( spl2_10
| spl2_7 ),
inference(avatar_split_clause,[],[f370,f124,f168]) ).
thf(f2604,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_30 ),
inference(forward_subsumption_resolution,[],[f2469,f40]) ).
thf(f2606,plain,
( spl2_44
| ~ spl2_8
| spl2_30 ),
inference(avatar_split_clause,[],[f2468,f608,f127,f849]) ).
thf(f2611,plain,
( spl2_44
| spl2_7
| spl2_30 ),
inference(avatar_split_clause,[],[f2604,f608,f124,f849]) ).
thf(f2613,definition,
( spl2_96
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).
thf(f2614,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ~ spl2_96 ),
inference(avatar_component_clause,[],[f2613]) ).
thf(f2643,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44 ),
inference(constrained_superposition,[],[f27,f850]) ).
thf(f2645,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f2643]) ).
thf(f2685,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_44 ),
inference(constrained_superposition,[],[f2645,f850]) ).
thf(f2691,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_44 ),
inference(duplicate_literal_removal,[],[f2685]) ).
thf(f2692,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f2691]) ).
thf(f2700,definition,
( spl2_99
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_99])],[avatar_definition]) ).
thf(f2701,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_99 ),
inference(avatar_component_clause,[],[f2700]) ).
thf(f2703,plain,
( spl2_99
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f2692,f849,f2700]) ).
thf(f2792,definition,
( spl2_102
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_102])],[avatar_definition]) ).
thf(f2793,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_102 ),
inference(avatar_component_clause,[],[f2792]) ).
thf(f2869,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31
| ~ spl2_102 ),
inference(constrained_superposition,[],[f2793,f613]) ).
thf(f2876,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f2869]) ).
thf(f2885,plain,
( $false
| ~ spl2_3
| ~ spl2_31
| ~ spl2_102 ),
inference(forward_subsumption_resolution,[],[f2876,f86]) ).
thf(f2886,plain,
( ~ spl2_3
| ~ spl2_31
| ~ spl2_102 ),
inference(avatar_contradiction_clause,[],[f2885]) ).
thf(f3009,plain,
( spl2_93
| ~ spl2_20
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f2486,f344,f277,f2592]) ).
thf(f3044,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| spl2_30
| ~ spl2_93 ),
inference(constrained_superposition,[],[f1578,f2593]) ).
thf(f3062,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_30
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f3044]) ).
thf(f3360,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_29
| ~ spl2_99 ),
inference(constrained_superposition,[],[f2701,f2515]) ).
thf(f3369,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X3 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f27,f2515]) ).
thf(f3372,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f3369]) ).
thf(f3374,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_99 ),
inference(trivial_inequality_removal,[],[f3360]) ).
thf(f3381,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_8
| ~ spl2_29
| ~ spl2_99 ),
inference(forward_subsumption_resolution,[],[f3374,f252]) ).
thf(f3390,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_29
| ~ spl2_99 ),
inference(constrained_superposition,[],[f3381,f2515]) ).
thf(f3414,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_8
| ~ spl2_29
| ~ spl2_99 ),
inference(duplicate_literal_removal,[],[f3390]) ).
thf(f3415,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| ~ spl2_29
| ~ spl2_99 ),
inference(trivial_inequality_removal,[],[f3414]) ).
thf(f3418,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| ~ spl2_8
| ~ spl2_29
| ~ spl2_99 ),
inference(forward_subsumption_resolution,[],[f3415,f86]) ).
thf(f3420,plain,
( spl2_60
| ~ spl2_3
| ~ spl2_8
| ~ spl2_29
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f3418,f2700,f605,f127,f77,f1142]) ).
thf(f3425,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X3 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_60 ),
inference(constrained_superposition,[],[f27,f1143]) ).
thf(f3431,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X3 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f3425]) ).
thf(f3469,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_60 ),
inference(constrained_superposition,[],[f3431,f1143]) ).
thf(f3492,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_60 ),
inference(duplicate_literal_removal,[],[f3469]) ).
thf(f3493,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) ) )
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f3492]) ).
thf(f3506,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_3
| ~ spl2_60 ),
inference(constrained_superposition,[],[f3493,f86]) ).
thf(f3519,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_3
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f3506]) ).
thf(f3530,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_3
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f3519,f86]) ).
thf(f3532,plain,
( spl2_102
| ~ spl2_3
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f3530,f1142,f77,f2792]) ).
thf(f3535,plain,
( spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f360,f127,f124]) ).
thf(f3539,plain,
( spl2_34
| spl2_69
| spl2_30
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f3062,f2592,f608,f1601,f657]) ).
thf(f3569,definition,
( spl2_118
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f3570,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f3569]) ).
thf(f3571,plain,
( spl2_118
| spl2_7 ),
inference(avatar_split_clause,[],[f369,f124,f3569]) ).
thf(f3575,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f27,f125]) ).
thf(f3576,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f3575]) ).
thf(f3588,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f3576,f125]) ).
thf(f3595,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_7 ),
inference(duplicate_literal_removal,[],[f3588]) ).
thf(f3596,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f3595]) ).
thf(f3604,definition,
( spl2_119
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_119])],[avatar_definition]) ).
thf(f3605,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_119 ),
inference(avatar_component_clause,[],[f3604]) ).
thf(f3611,plain,
( spl2_119
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f3596,f124,f3604]) ).
thf(f3630,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f3372,f2515]) ).
thf(f3638,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(duplicate_literal_removal,[],[f3630]) ).
thf(f3639,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f3638]) ).
thf(f3651,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_3
| ~ spl2_29 ),
inference(constrained_superposition,[],[f3639,f85]) ).
thf(f3658,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f3651]) ).
thf(f3667,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_3
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f3658,f86]) ).
thf(f3669,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_3
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f3667,f40]) ).
thf(f3671,definition,
( spl2_121
<=> ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f3672,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_121 ),
inference(avatar_component_clause,[],[f3671]) ).
thf(f3674,plain,
( spl2_121
| spl2_60
| ~ spl2_3
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f3669,f605,f77,f1142,f3671]) ).
thf(f3676,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f3672,f109]) ).
thf(f3677,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f3672,f365]) ).
thf(f3681,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f3677]) ).
thf(f3684,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f3676]) ).
thf(f3687,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| spl2_44
| ~ spl2_121 ),
inference(forward_subsumption_resolution,[],[f3681,f2395]) ).
thf(f3692,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_3
| ~ spl2_121 ),
inference(forward_subsumption_resolution,[],[f3684,f86]) ).
thf(f3693,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_3
| spl2_44
| ~ spl2_121 ),
inference(forward_subsumption_resolution,[],[f3687,f86]) ).
thf(f3794,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_3
| ~ spl2_121 ),
inference(constrained_superposition,[],[f26,f3692]) ).
thf(f3798,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_3
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f3794]) ).
thf(f3807,definition,
( spl2_126
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_126])],[avatar_definition]) ).
thf(f3808,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_126 ),
inference(avatar_component_clause,[],[f3807]) ).
thf(f3811,definition,
( spl2_127
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).
thf(f3812,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f3811]) ).
thf(f3815,definition,
( spl2_128
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).
thf(f3816,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_128 ),
inference(avatar_component_clause,[],[f3815]) ).
thf(f3817,plain,
( spl2_46
| spl2_128
| ~ spl2_3
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f3798,f3671,f77,f3815,f859]) ).
thf(f3827,definition,
( spl2_131
<=> ! [X0: $i] : ( sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_131])],[avatar_definition]) ).
thf(f3828,plain,
( ! [X0: $i] : ( sK1 = X0 )
| ~ spl2_131 ),
inference(avatar_component_clause,[],[f3827]) ).
thf(f3833,definition,
( spl2_132
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).
thf(f3834,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_132 ),
inference(avatar_component_clause,[],[f3833]) ).
thf(f3835,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_55 ),
inference(avatar_component_clause,[],[f1002]) ).
thf(f3838,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_75 ),
inference(constrained_superposition,[],[f2320,f25]) ).
thf(f3840,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_75 ),
inference(trivial_inequality_removal,[],[f3838]) ).
thf(f3843,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_75 ),
inference(forward_subsumption_resolution,[],[f3840,f40]) ).
thf(f3844,plain,
( $false
| spl2_44
| spl2_75 ),
inference(forward_subsumption_resolution,[],[f3843,f2395]) ).
thf(f3845,plain,
( spl2_44
| spl2_75 ),
inference(avatar_contradiction_clause,[],[f3844]) ).
thf(f3847,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_52 ),
inference(constrained_superposition,[],[f978,f51]) ).
thf(f3851,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_52 ),
inference(trivial_inequality_removal,[],[f3847]) ).
thf(f3855,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| spl2_30
| spl2_52 ),
inference(forward_subsumption_resolution,[],[f3851,f1578]) ).
thf(f3857,plain,
( $false
| spl2_30
| spl2_52 ),
inference(forward_subsumption_resolution,[],[f3855,f40]) ).
thf(f3858,plain,
( spl2_30
| spl2_52 ),
inference(avatar_contradiction_clause,[],[f3857]) ).
thf(f3862,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_128 ),
inference(constrained_superposition,[],[f3816,f108]) ).
thf(f3866,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f3862]) ).
thf(f3920,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_3
| ~ spl2_126 ),
inference(constrained_superposition,[],[f88,f3808]) ).
thf(f3924,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_3
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f3920]) ).
thf(f3933,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_126 ),
inference(forward_subsumption_resolution,[],[f3924,f125]) ).
thf(f3955,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_29
| ~ spl2_126 ),
inference(constrained_superposition,[],[f3933,f2515]) ).
thf(f3973,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_29
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f3955]) ).
thf(f3979,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_29
| ~ spl2_31
| ~ spl2_126 ),
inference(forward_subsumption_resolution,[],[f3973,f613]) ).
thf(f3990,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_29
| ~ spl2_31
| ~ spl2_126 ),
inference(forward_subsumption_resolution,[],[f3979,f40]) ).
thf(f3992,plain,
( spl2_60
| spl2_59
| ~ spl2_3
| ~ spl2_7
| ~ spl2_29
| ~ spl2_31
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f3990,f3807,f612,f605,f124,f77,f1137,f1142]) ).
thf(f4036,plain,
( ( sK1 != sK1 )
| ~ spl2_131 ),
inference(constrained_superposition,[],[f40,f3828]) ).
thf(f4161,plain,
( $false
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f4036]) ).
thf(f4162,plain,
~ spl2_131,
inference(avatar_contradiction_clause,[],[f4161]) ).
thf(f4248,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_3
| ~ spl2_16 ),
inference(constrained_superposition,[],[f225,f85]) ).
thf(f4254,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_3
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f4248]) ).
thf(f4261,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_16 ),
inference(constrained_superposition,[],[f4254,f125]) ).
thf(f4272,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f4261]) ).
thf(f4283,plain,
( $false
| ~ spl2_3
| ~ spl2_7
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f4272,f40]) ).
thf(f4284,plain,
( ~ spl2_3
| ~ spl2_7
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f4283]) ).
thf(f4290,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f173,f108]) ).
thf(f4293,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f173,f25]) ).
thf(f4296,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f4290]) ).
thf(f4297,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f4293]) ).
thf(f4298,plain,
( spl2_23
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f4296,f172,f347]) ).
thf(f4299,plain,
( spl2_24
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f4297,f172,f440]) ).
thf(f4324,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_3
| ~ spl2_15
| spl2_44
| ~ spl2_121 ),
inference(constrained_superposition,[],[f222,f3693]) ).
thf(f4331,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_3
| ~ spl2_15
| spl2_44
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f4324]) ).
thf(f4339,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_31
| ~ spl2_59 ),
inference(constrained_superposition,[],[f1138,f613]) ).
thf(f4350,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_31
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f4339]) ).
thf(f4361,plain,
( $false
| ~ spl2_3
| ~ spl2_31
| ~ spl2_59 ),
inference(forward_subsumption_resolution,[],[f4350,f86]) ).
thf(f4362,plain,
( ~ spl2_3
| ~ spl2_31
| ~ spl2_59 ),
inference(avatar_contradiction_clause,[],[f4361]) ).
thf(f4469,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_3
| ~ spl2_15
| spl2_44
| ~ spl2_121 ),
inference(constrained_superposition,[],[f3692,f4331]) ).
thf(f4525,definition,
( spl2_137
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_137])],[avatar_definition]) ).
thf(f4526,plain,
( ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_137 ),
inference(avatar_component_clause,[],[f4525]) ).
thf(f4528,definition,
( spl2_138
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( ( b @ sK1 @ X3 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_138])],[avatar_definition]) ).
thf(f4529,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ sK1 @ X3 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_138 ),
inference(avatar_component_clause,[],[f4528]) ).
thf(f4536,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_3
| ~ spl2_15
| spl2_44
| spl2_55
| ~ spl2_121 ),
inference(forward_subsumption_resolution,[],[f4469,f3835]) ).
thf(f4555,definition,
( spl2_141
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_141])],[avatar_definition]) ).
thf(f4556,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_141 ),
inference(avatar_component_clause,[],[f4555]) ).
thf(f4569,plain,
( spl2_137
| ~ spl2_3
| ~ spl2_15
| spl2_44
| spl2_55
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f4536,f3671,f1002,f849,f221,f77,f4525]) ).
thf(f4571,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_52 ),
inference(avatar_component_clause,[],[f977]) ).
thf(f4859,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_44
| ~ spl2_68 ),
inference(constrained_superposition,[],[f1584,f850]) ).
thf(f4863,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_44 ),
inference(constrained_superposition,[],[f27,f850]) ).
thf(f4864,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f4863]) ).
thf(f4865,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_44
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f4859]) ).
thf(f4870,plain,
( spl2_138
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f4864,f849,f4528]) ).
thf(f4871,plain,
( $false
| ~ spl2_7
| ~ spl2_44
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f4865,f125]) ).
thf(f4872,plain,
( ~ spl2_7
| ~ spl2_44
| ~ spl2_68 ),
inference(avatar_contradiction_clause,[],[f4871]) ).
thf(f4877,plain,
( $false
| ~ spl2_23
| spl2_31 ),
inference(forward_subsumption_resolution,[],[f1187,f348]) ).
thf(f4878,plain,
( ~ spl2_23
| spl2_31 ),
inference(avatar_contradiction_clause,[],[f4877]) ).
thf(f4889,definition,
( spl2_152
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_152])],[avatar_definition]) ).
thf(f4890,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_152 ),
inference(avatar_component_clause,[],[f4889]) ).
thf(f4891,plain,
( spl2_152
| spl2_31
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f3866,f3815,f612,f4889]) ).
thf(f4892,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_3
| ~ spl2_46
| ~ spl2_121 ),
inference(constrained_superposition,[],[f860,f3692]) ).
thf(f4896,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_46 ),
inference(constrained_superposition,[],[f860,f25]) ).
thf(f4899,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f4896]) ).
thf(f4901,plain,
( ! [X0: $i] : ( sK1 = X0 )
| ~ spl2_3
| ~ spl2_46
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f4892]) ).
thf(f4904,plain,
( spl2_27
| ~ spl2_46 ),
inference(avatar_split_clause,[],[f4899,f859,f598]) ).
thf(f4905,plain,
( spl2_131
| ~ spl2_3
| ~ spl2_46
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f4901,f3671,f859,f77,f3827]) ).
thf(f4957,definition,
( spl2_153
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_153])],[avatar_definition]) ).
thf(f4958,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_153 ),
inference(avatar_component_clause,[],[f4957]) ).
thf(f4961,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_152 ),
inference(constrained_superposition,[],[f4890,f108]) ).
thf(f4964,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f4961]) ).
thf(f4967,plain,
( spl2_126
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f4964,f4889,f3807]) ).
thf(f4972,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f27,f975]) ).
thf(f4977,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_51 ),
inference(duplicate_literal_removal,[],[f4972]) ).
thf(f4978,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f4977]) ).
thf(f4982,plain,
( spl2_141
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f4978,f974,f4555]) ).
thf(f5013,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f4958,f25]) ).
thf(f5020,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f5013]) ).
thf(f5095,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_3
| ~ spl2_12
| ~ spl2_121 ),
inference(constrained_superposition,[],[f176,f3692]) ).
thf(f5096,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f176,f108]) ).
thf(f5102,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_12 ),
inference(duplicate_literal_removal,[],[f5096]) ).
thf(f5103,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f5102]) ).
thf(f5104,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_3
| ~ spl2_12
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f5095]) ).
thf(f5105,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_3
| ~ spl2_12
| ~ spl2_52
| ~ spl2_121 ),
inference(forward_subsumption_resolution,[],[f5104,f4571]) ).
thf(f5106,plain,
( spl2_126
| ~ spl2_3
| ~ spl2_12
| ~ spl2_52
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f5105,f3671,f977,f175,f77,f3807]) ).
thf(f5177,definition,
( spl2_159
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_159])],[avatar_definition]) ).
thf(f5178,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_159 ),
inference(avatar_component_clause,[],[f5177]) ).
thf(f5180,definition,
( spl2_160
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_160])],[avatar_definition]) ).
thf(f5181,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_160 ),
inference(avatar_component_clause,[],[f5180]) ).
thf(f5358,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_137 ),
inference(constrained_superposition,[],[f2515,f4526]) ).
thf(f5390,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_137 ),
inference(duplicate_literal_removal,[],[f5358]) ).
thf(f5423,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_137 ),
inference(forward_subsumption_resolution,[],[f5390,f40]) ).
thf(f5456,plain,
( spl2_60
| ~ spl2_29
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f5423,f4525,f605,f1142]) ).
thf(f5488,definition,
( spl2_163
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_163])],[avatar_definition]) ).
thf(f5489,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_163 ),
inference(avatar_component_clause,[],[f5488]) ).
thf(f5503,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_126 ),
inference(constrained_superposition,[],[f27,f3808]) ).
thf(f5507,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X3 )
!= $true ) )
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f5503]) ).
thf(f5531,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_29
| ~ spl2_126 ),
inference(constrained_superposition,[],[f5507,f2515]) ).
thf(f5541,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_29
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f5531]) ).
thf(f5547,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_126 ),
inference(forward_subsumption_resolution,[],[f5541,f40]) ).
thf(f5557,definition,
( spl2_167
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_167])],[avatar_definition]) ).
thf(f5558,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_167 ),
inference(avatar_component_clause,[],[f5557]) ).
thf(f5559,plain,
( spl2_167
| spl2_85
| ~ spl2_29
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f5547,f3807,f605,f2414,f5557]) ).
thf(f5561,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_3
| ~ spl2_85 ),
inference(constrained_superposition,[],[f2415,f85]) ).
thf(f5577,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_3
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f5561]) ).
thf(f5581,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_3
| ~ spl2_7
| ~ spl2_85 ),
inference(forward_subsumption_resolution,[],[f5577,f125]) ).
thf(f5584,plain,
( $false
| ~ spl2_3
| ~ spl2_7
| ~ spl2_85 ),
inference(forward_subsumption_resolution,[],[f5581,f40]) ).
thf(f5585,plain,
( ~ spl2_3
| ~ spl2_7
| ~ spl2_85 ),
inference(avatar_contradiction_clause,[],[f5584]) ).
thf(f5586,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_3
| ~ spl2_167 ),
inference(constrained_superposition,[],[f5558,f86]) ).
thf(f5602,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_3
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f5586]) ).
thf(f5606,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_3
| ~ spl2_167 ),
inference(forward_subsumption_resolution,[],[f5602,f86]) ).
thf(f5608,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| ~ spl2_167 ),
inference(forward_subsumption_resolution,[],[f5606,f86]) ).
thf(f5610,plain,
( spl2_60
| ~ spl2_3
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f5608,f5557,f77,f1142]) ).
thf(f5616,plain,
( spl2_23
| ~ spl2_14
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f5103,f175,f182,f347]) ).
thf(f5629,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_34
| spl2_51 ),
inference(constrained_superposition,[],[f1132,f658]) ).
thf(f5630,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_31
| ~ spl2_34 ),
inference(constrained_superposition,[],[f1187,f658]) ).
thf(f5638,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_34 ),
inference(constrained_superposition,[],[f107,f658]) ).
thf(f5649,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_34
| ~ spl2_43 ),
inference(constrained_superposition,[],[f847,f658]) ).
thf(f5699,definition,
( spl2_171
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f5700,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f5699]) ).
thf(f5703,plain,
( ~ spl2_49
| ~ spl2_34
| spl2_51 ),
inference(avatar_split_clause,[],[f5629,f974,f657,f903]) ).
thf(f5704,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f5707,definition,
( spl2_172
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_172])],[avatar_definition]) ).
thf(f5708,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_172 ),
inference(avatar_component_clause,[],[f5707]) ).
thf(f5710,definition,
( spl2_173
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_173])],[avatar_definition]) ).
thf(f5711,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_173 ),
inference(avatar_component_clause,[],[f5710]) ).
thf(f5722,definition,
( spl2_174
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_174])],[avatar_definition]) ).
thf(f5723,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_174 ),
inference(avatar_component_clause,[],[f5722]) ).
thf(f5727,plain,
( ~ spl2_49
| spl2_31
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f5630,f657,f612,f903]) ).
thf(f5731,plain,
( spl2_30
| ~ spl2_75
| ~ spl2_34
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f5649,f846,f657,f2319,f608]) ).
thf(f5732,plain,
( spl2_14
| spl2_49
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f5638,f657,f903,f182]) ).
thf(f5782,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_30
| ~ spl2_159 ),
inference(constrained_superposition,[],[f5178,f609]) ).
thf(f5785,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_30 ),
inference(constrained_superposition,[],[f27,f609]) ).
thf(f5789,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f5785]) ).
thf(f5791,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_30
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f5782]) ).
thf(f5796,plain,
( $false
| ~ spl2_7
| ~ spl2_30
| ~ spl2_159 ),
inference(forward_subsumption_resolution,[],[f5791,f125]) ).
thf(f5797,plain,
( ~ spl2_7
| ~ spl2_30
| ~ spl2_159 ),
inference(avatar_contradiction_clause,[],[f5796]) ).
thf(f5885,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_30 ),
inference(constrained_superposition,[],[f5789,f609]) ).
thf(f5899,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_30 ),
inference(duplicate_literal_removal,[],[f5885]) ).
thf(f5900,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f5899]) ).
thf(f5907,plain,
( spl2_171
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f5900,f608,f5699]) ).
thf(f6105,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_27
| spl2_44 ),
inference(constrained_superposition,[],[f2395,f599]) ).
thf(f6109,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_27
| spl2_44 ),
inference(trivial_inequality_removal,[],[f6105]) ).
thf(f6117,plain,
( $false
| ~ spl2_27
| spl2_44 ),
inference(forward_subsumption_resolution,[],[f6109,f40]) ).
thf(f6118,plain,
( ~ spl2_27
| spl2_44 ),
inference(avatar_contradiction_clause,[],[f6117]) ).
thf(f6413,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f5020,f50]) ).
thf(f6415,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f6413]) ).
thf(f6893,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_34 ),
inference(avatar_component_clause,[],[f657]) ).
thf(f6914,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_34 ),
inference(extensionality_resolution,[],[f109,f6893]) ).
thf(f6915,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_34 ),
inference(extensionality_resolution,[],[f365,f6893]) ).
thf(f6919,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_34 ),
inference(extensionality_resolution,[],[f55,f6893]) ).
thf(f6926,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_163 ),
inference(avatar_component_clause,[],[f5488]) ).
thf(f6928,definition,
( spl2_190
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_190])],[avatar_definition]) ).
thf(f6929,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_190 ),
inference(avatar_component_clause,[],[f6928]) ).
thf(f6932,definition,
( spl2_191
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).
thf(f6933,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_191 ),
inference(avatar_component_clause,[],[f6932]) ).
thf(f6936,definition,
( spl2_192
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_192])],[avatar_definition]) ).
thf(f6937,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192 ),
inference(avatar_component_clause,[],[f6936]) ).
thf(f6939,definition,
( spl2_193
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).
thf(f6940,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_193 ),
inference(avatar_component_clause,[],[f6939]) ).
thf(f6941,plain,
( spl2_192
| spl2_193
| spl2_34 ),
inference(avatar_split_clause,[],[f6914,f657,f6939,f6936]) ).
thf(f6943,definition,
( spl2_194
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_194])],[avatar_definition]) ).
thf(f6944,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_194 ),
inference(avatar_component_clause,[],[f6943]) ).
thf(f6946,definition,
( spl2_195
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_195])],[avatar_definition]) ).
thf(f6947,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_195 ),
inference(avatar_component_clause,[],[f6946]) ).
thf(f6951,definition,
( spl2_196
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_196])],[avatar_definition]) ).
thf(f6952,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_196 ),
inference(avatar_component_clause,[],[f6951]) ).
thf(f6977,definition,
( spl2_198
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).
thf(f6978,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_198 ),
inference(avatar_component_clause,[],[f6977]) ).
thf(f6995,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_12
| ~ spl2_191 ),
inference(constrained_superposition,[],[f176,f6933]) ).
thf(f7009,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_12
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f6995]) ).
thf(f7024,definition,
( spl2_201
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).
thf(f7025,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_201 ),
inference(avatar_component_clause,[],[f7024]) ).
thf(f7027,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_198 ),
inference(avatar_component_clause,[],[f6977]) ).
thf(f7028,plain,
( spl2_198
| ~ spl2_52
| ~ spl2_12
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f7009,f6932,f175,f977,f6977]) ).
thf(f7091,definition,
( spl2_203
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_203])],[avatar_definition]) ).
thf(f7092,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ~ spl2_203 ),
inference(avatar_component_clause,[],[f7091]) ).
thf(f7103,definition,
( spl2_204
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_204])],[avatar_definition]) ).
thf(f7104,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_204 ),
inference(avatar_component_clause,[],[f7103]) ).
thf(f7106,definition,
( spl2_205
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_205])],[avatar_definition]) ).
thf(f7107,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_205 ),
inference(avatar_component_clause,[],[f7106]) ).
thf(f7109,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_163
| ~ spl2_204 ),
inference(constrained_superposition,[],[f5489,f7104]) ).
thf(f7214,plain,
( $false
| ~ spl2_7
| spl2_163
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f7109,f125]) ).
thf(f7215,plain,
( ~ spl2_7
| spl2_163
| ~ spl2_204 ),
inference(avatar_contradiction_clause,[],[f7214]) ).
thf(f7368,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_190 ),
inference(constrained_superposition,[],[f27,f6929]) ).
thf(f7369,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f7368]) ).
thf(f7396,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_68
| ~ spl2_190 ),
inference(constrained_superposition,[],[f1584,f6929]) ).
thf(f7407,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_68
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f7396]) ).
thf(f7419,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f61,f6940]) ).
thf(f7429,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f7419]) ).
thf(f7441,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_163
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f7429,f5489]) ).
thf(f7444,definition,
( spl2_209
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_209])],[avatar_definition]) ).
thf(f7445,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_209 ),
inference(avatar_component_clause,[],[f7444]) ).
thf(f7447,definition,
( spl2_210
<=> ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_210])],[avatar_definition]) ).
thf(f7448,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ~ spl2_210 ),
inference(avatar_component_clause,[],[f7447]) ).
thf(f7456,definition,
( spl2_212
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_212])],[avatar_definition]) ).
thf(f7457,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_212 ),
inference(avatar_component_clause,[],[f7456]) ).
thf(f7459,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_163
| ~ spl2_193 ),
inference(constrained_superposition,[],[f7441,f49]) ).
thf(f7462,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_163
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f7459]) ).
thf(f7464,plain,
( spl2_212
| spl2_163
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f7462,f6939,f5488,f7456]) ).
thf(f7542,definition,
( spl2_214
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_214])],[avatar_definition]) ).
thf(f7543,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_214 ),
inference(avatar_component_clause,[],[f7542]) ).
thf(f7574,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_214 ),
inference(constrained_superposition,[],[f108,f7543]) ).
thf(f7666,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_14
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f7574,f183]) ).
thf(f7683,plain,
( $false
| spl2_14
| spl2_49
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f7666,f904]) ).
thf(f7684,plain,
( spl2_14
| spl2_49
| ~ spl2_214 ),
inference(avatar_contradiction_clause,[],[f7683]) ).
thf(f7770,definition,
( spl2_219
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_219])],[avatar_definition]) ).
thf(f7771,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_219 ),
inference(avatar_component_clause,[],[f7770]) ).
thf(f7772,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_212 ),
inference(avatar_component_clause,[],[f7456]) ).
thf(f7803,definition,
( spl2_221
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_221])],[avatar_definition]) ).
thf(f7804,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_221 ),
inference(avatar_component_clause,[],[f7803]) ).
thf(f7813,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_201 ),
inference(constrained_superposition,[],[f7025,f108]) ).
thf(f7817,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f7813]) ).
thf(f7819,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_198
| ~ spl2_201 ),
inference(forward_subsumption_resolution,[],[f7817,f6978]) ).
thf(f7820,plain,
( ~ spl2_32
| spl2_198
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f7819,f7024,f6977,f642]) ).
thf(f7870,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_190
| ~ spl2_196 ),
inference(constrained_superposition,[],[f7369,f6952]) ).
thf(f7886,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_190
| ~ spl2_196 ),
inference(duplicate_literal_removal,[],[f7870]) ).
thf(f7887,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_190
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f7886]) ).
thf(f7901,definition,
( spl2_225
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f7902,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f7901]) ).
thf(f7904,definition,
( spl2_226
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_226])],[avatar_definition]) ).
thf(f7905,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_226 ),
inference(avatar_component_clause,[],[f7904]) ).
thf(f7906,plain,
( spl2_225
| spl2_226
| ~ spl2_190
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f7887,f6951,f6928,f7904,f7901]) ).
thf(f7909,definition,
( spl2_227
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f7910,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_227 ),
inference(avatar_component_clause,[],[f7909]) ).
thf(f7918,definition,
( spl2_229
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_229])],[avatar_definition]) ).
thf(f7919,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_229 ),
inference(avatar_component_clause,[],[f7918]) ).
thf(f7951,definition,
( spl2_231
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_231])],[avatar_definition]) ).
thf(f7952,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_231 ),
inference(avatar_component_clause,[],[f7951]) ).
thf(f7954,definition,
( spl2_232
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f7955,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_232 ),
inference(avatar_component_clause,[],[f7954]) ).
thf(f7958,definition,
( spl2_233
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_233])],[avatar_definition]) ).
thf(f7959,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_233 ),
inference(avatar_component_clause,[],[f7958]) ).
thf(f7961,definition,
( spl2_234
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_234])],[avatar_definition]) ).
thf(f7962,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_234 ),
inference(avatar_component_clause,[],[f7961]) ).
thf(f7983,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_203 ),
inference(constrained_superposition,[],[f7092,f49]) ).
thf(f7990,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f7983]) ).
thf(f7992,plain,
( $false
| spl2_163
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f7990,f5489]) ).
thf(f7993,plain,
( spl2_163
| ~ spl2_203 ),
inference(avatar_contradiction_clause,[],[f7992]) ).
thf(f7994,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f7448,f407]) ).
thf(f8002,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f7994]) ).
thf(f8007,plain,
( spl2_231
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f8002,f7447,f7951]) ).
thf(f8008,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_233 ),
inference(constrained_superposition,[],[f7959,f107]) ).
thf(f8013,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_233 ),
inference(trivial_inequality_removal,[],[f8008]) ).
thf(f8015,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_232 ),
inference(constrained_superposition,[],[f7955,f51]) ).
thf(f8018,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_232 ),
inference(trivial_inequality_removal,[],[f8015]) ).
thf(f8053,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_190
| ~ spl2_225 ),
inference(constrained_superposition,[],[f7902,f6929]) ).
thf(f8062,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_190
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f8053]) ).
thf(f8067,plain,
( $false
| ~ spl2_190
| ~ spl2_196
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f8062,f6952]) ).
thf(f8068,plain,
( ~ spl2_190
| ~ spl2_196
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f8067]) ).
thf(f8076,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_226 ),
inference(constrained_superposition,[],[f7905,f85]) ).
thf(f8084,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f8076]) ).
thf(f8093,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f8084,f40]) ).
thf(f8097,plain,
( $false
| ~ spl2_3
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f8093,f86]) ).
thf(f8098,plain,
( ~ spl2_3
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f8097]) ).
thf(f8099,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_34
| spl2_232 ),
inference(forward_subsumption_resolution,[],[f8018,f6893]) ).
thf(f8111,plain,
( spl2_196
| spl2_34
| spl2_232 ),
inference(avatar_split_clause,[],[f8099,f7954,f657,f6951]) ).
thf(f8117,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_163
| ~ spl2_190 ),
inference(constrained_superposition,[],[f7369,f6926]) ).
thf(f8121,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_163
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f8117]) ).
thf(f8127,plain,
( spl2_227
| spl2_159
| ~ spl2_163
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f8121,f6928,f5488,f5177,f7909]) ).
thf(f8185,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_195 ),
inference(constrained_superposition,[],[f26,f6947]) ).
thf(f8197,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f8185]) ).
thf(f8199,plain,
( spl2_209
| spl2_203
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f8197,f6946,f7091,f7444]) ).
thf(f8211,definition,
( spl2_237
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_237])],[avatar_definition]) ).
thf(f8212,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_237 ),
inference(avatar_component_clause,[],[f8211]) ).
thf(f8215,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| spl2_237 ),
inference(constrained_superposition,[],[f8212,f51]) ).
thf(f8218,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_237 ),
inference(trivial_inequality_removal,[],[f8215]) ).
thf(f8222,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_237 ),
inference(forward_subsumption_resolution,[],[f8218,f40]) ).
thf(f8227,plain,
( spl2_198
| spl2_237 ),
inference(avatar_split_clause,[],[f8222,f8211,f6977]) ).
thf(f8229,plain,
( ~ spl2_198
| ~ spl2_68
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f7407,f6928,f1583,f6977]) ).
thf(f8260,plain,
( ( $true != $true )
| ~ spl2_195
| ~ spl2_203 ),
inference(constrained_superposition,[],[f7092,f6947]) ).
thf(f8261,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_203 ),
inference(constrained_superposition,[],[f7092,f407]) ).
thf(f8266,plain,
( $false
| ~ spl2_195
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f8260]) ).
thf(f8267,plain,
( ~ spl2_195
| ~ spl2_203 ),
inference(avatar_contradiction_clause,[],[f8266]) ).
thf(f8268,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f8261]) ).
thf(f8273,plain,
( spl2_196
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f8268,f7091,f6951]) ).
thf(f8278,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_102
| ~ spl2_198 ),
inference(constrained_superposition,[],[f2793,f7027]) ).
thf(f8282,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_102
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f8278]) ).
thf(f8290,plain,
( $false
| ~ spl2_3
| ~ spl2_102
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f8282,f86]) ).
thf(f8291,plain,
( ~ spl2_3
| ~ spl2_102
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f8290]) ).
thf(f8303,plain,
( spl2_190
| spl2_44
| spl2_163
| spl2_34 ),
inference(avatar_split_clause,[],[f6915,f657,f5488,f849,f6928]) ).
thf(f8422,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_30 ),
inference(constrained_superposition,[],[f1578,f503]) ).
thf(f8424,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_30 ),
inference(trivial_inequality_removal,[],[f8422]) ).
thf(f8427,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_30
| spl2_34 ),
inference(forward_subsumption_resolution,[],[f8424,f6893]) ).
thf(f8428,plain,
( spl2_63
| spl2_30
| spl2_34 ),
inference(avatar_split_clause,[],[f8427,f657,f608,f1203]) ).
thf(f8449,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| spl2_163 ),
inference(constrained_superposition,[],[f5489,f299]) ).
thf(f8452,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| spl2_163 ),
inference(trivial_inequality_removal,[],[f8449]) ).
thf(f8455,plain,
( spl2_221
| spl2_163 ),
inference(avatar_split_clause,[],[f8452,f5488,f7803]) ).
thf(f8528,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_194 ),
inference(constrained_superposition,[],[f27,f6944]) ).
thf(f8529,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f8528]) ).
thf(f8696,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_231 ),
inference(avatar_component_clause,[],[f7951]) ).
thf(f8730,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_46 ),
inference(constrained_superposition,[],[f860,f107]) ).
thf(f8735,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f8730]) ).
thf(f8738,plain,
( spl2_30
| ~ spl2_46 ),
inference(avatar_split_clause,[],[f8735,f859,f608]) ).
thf(f8741,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_53 ),
inference(constrained_superposition,[],[f983,f407]) ).
thf(f8748,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_53 ),
inference(trivial_inequality_removal,[],[f8741]) ).
thf(f8751,plain,
( spl2_132
| ~ spl2_53 ),
inference(avatar_split_clause,[],[f8748,f982,f3833]) ).
thf(f8767,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_163 ),
inference(constrained_superposition,[],[f27,f6926]) ).
thf(f8771,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f8767]) ).
thf(f8774,plain,
( $false
| ~ spl2_46
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f1003,f860]) ).
thf(f8775,plain,
( ~ spl2_46
| ~ spl2_55 ),
inference(avatar_contradiction_clause,[],[f8774]) ).
thf(f8805,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f6415,f40]) ).
thf(f8807,definition,
( spl2_242
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_242])],[avatar_definition]) ).
thf(f8808,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_242 ),
inference(avatar_component_clause,[],[f8807]) ).
thf(f8810,definition,
( spl2_243
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_243])],[avatar_definition]) ).
thf(f8811,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_243 ),
inference(avatar_component_clause,[],[f8810]) ).
thf(f8812,plain,
( spl2_242
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f640,f8810,f8807]) ).
thf(f8813,plain,
( spl2_172
| spl2_233 ),
inference(avatar_split_clause,[],[f8013,f7958,f5707]) ).
thf(f8815,definition,
( spl2_244
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_244])],[avatar_definition]) ).
thf(f8816,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_244 ),
inference(avatar_component_clause,[],[f8815]) ).
thf(f8818,definition,
( spl2_245
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).
thf(f8819,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_245 ),
inference(avatar_component_clause,[],[f8818]) ).
thf(f8822,definition,
( spl2_246
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_246])],[avatar_definition]) ).
thf(f8823,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_246 ),
inference(avatar_component_clause,[],[f8822]) ).
thf(f8824,plain,
( ~ spl2_244
| spl2_246 ),
inference(avatar_split_clause,[],[f146,f8822,f8815]) ).
thf(f8835,definition,
( spl2_249
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_249])],[avatar_definition]) ).
thf(f8836,plain,
( ! [X1: $i] :
( ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 ) )
| ~ spl2_249 ),
inference(avatar_component_clause,[],[f8835]) ).
thf(f8841,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f301,f80,f77]) ).
thf(f8847,definition,
( spl2_252
<=> ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_252])],[avatar_definition]) ).
thf(f8848,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_252 ),
inference(avatar_component_clause,[],[f8847]) ).
thf(f8850,definition,
( spl2_253
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_253])],[avatar_definition]) ).
thf(f8851,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_253 ),
inference(avatar_component_clause,[],[f8850]) ).
thf(f8855,plain,
( spl2_245
| spl2_252
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f8805,f4957,f8847,f8818]) ).
thf(f8856,plain,
( spl2_153
| spl2_11
| spl2_31
| spl2_34 ),
inference(avatar_split_clause,[],[f6919,f657,f612,f172,f4957]) ).
thf(f8869,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_24
| ~ spl2_102 ),
inference(constrained_superposition,[],[f2793,f441]) ).
thf(f8871,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_24
| spl2_198 ),
inference(constrained_superposition,[],[f6978,f441]) ).
thf(f8877,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_24
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f8869]) ).
thf(f8881,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_24
| spl2_198 ),
inference(trivial_inequality_removal,[],[f8871]) ).
thf(f8883,plain,
( spl2_204
| ~ spl2_24
| spl2_198 ),
inference(avatar_split_clause,[],[f8881,f6977,f440,f7103]) ).
thf(f8887,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_244 ),
inference(constrained_superposition,[],[f8816,f50]) ).
thf(f8890,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_244 ),
inference(trivial_inequality_removal,[],[f8887]) ).
thf(f8901,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_243 ),
inference(constrained_superposition,[],[f8811,f50]) ).
thf(f8903,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_243 ),
inference(trivial_inequality_removal,[],[f8901]) ).
thf(f8905,plain,
( spl2_245
| spl2_243 ),
inference(avatar_split_clause,[],[f8903,f8810,f8818]) ).
thf(f8918,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_102
| ~ spl2_245 ),
inference(constrained_superposition,[],[f8877,f8819]) ).
thf(f8923,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_24
| ~ spl2_102
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f8918]) ).
thf(f8925,plain,
( $false
| ~ spl2_24
| spl2_34
| ~ spl2_102
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f8923,f6893]) ).
thf(f8926,plain,
( ~ spl2_24
| spl2_34
| ~ spl2_102
| ~ spl2_245 ),
inference(avatar_contradiction_clause,[],[f8925]) ).
thf(f8975,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| spl2_231 ),
inference(constrained_superposition,[],[f8696,f684]) ).
thf(f8979,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| spl2_231 ),
inference(trivial_inequality_removal,[],[f8975]) ).
thf(f8984,definition,
( spl2_255
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_255])],[avatar_definition]) ).
thf(f8985,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_255 ),
inference(avatar_component_clause,[],[f8984]) ).
thf(f8991,definition,
( spl2_257
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_257])],[avatar_definition]) ).
thf(f8992,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_257 ),
inference(avatar_component_clause,[],[f8991]) ).
thf(f8993,plain,
( spl2_255
| spl2_257
| spl2_214
| ~ spl2_35
| spl2_231 ),
inference(avatar_split_clause,[],[f8979,f7951,f683,f7542,f8991,f8984]) ).
thf(f9005,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_257 ),
inference(avatar_component_clause,[],[f8991]) ).
thf(f9007,definition,
( spl2_259
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_259])],[avatar_definition]) ).
thf(f9008,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_259 ),
inference(avatar_component_clause,[],[f9007]) ).
thf(f9022,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f2159,f109]) ).
thf(f9029,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f9022]) ).
thf(f9092,definition,
( spl2_260
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_260])],[avatar_definition]) ).
thf(f9093,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_260 ),
inference(avatar_component_clause,[],[f9092]) ).
thf(f9098,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_245 ),
inference(avatar_component_clause,[],[f8818]) ).
thf(f9107,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_74
| ~ spl2_245 ),
inference(constrained_superposition,[],[f2159,f8819]) ).
thf(f9109,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ X2 )
!= $true ) )
| ~ spl2_245 ),
inference(constrained_superposition,[],[f27,f8819]) ).
thf(f9110,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f9109]) ).
thf(f9112,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_74
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f9107]) ).
thf(f9118,plain,
( spl2_252
| spl2_244 ),
inference(avatar_split_clause,[],[f8890,f8815,f8847]) ).
thf(f9119,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_252 ),
inference(avatar_component_clause,[],[f8847]) ).
thf(f9121,plain,
( ~ spl2_252
| ~ spl2_74
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f9112,f8818,f2158,f8847]) ).
thf(f9128,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f81,f25]) ).
thf(f9129,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f81,f51]) ).
thf(f9130,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f81,f107]) ).
thf(f9131,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f81,f407]) ).
thf(f9136,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f9128]) ).
thf(f9137,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f9130]) ).
thf(f9139,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f9129]) ).
thf(f9140,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f9131]) ).
thf(f9229,definition,
( spl2_264
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_264])],[avatar_definition]) ).
thf(f9230,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_264 ),
inference(avatar_component_clause,[],[f9229]) ).
thf(f9258,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_196 ),
inference(avatar_component_clause,[],[f6951]) ).
thf(f9270,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| spl2_196 ),
inference(constrained_superposition,[],[f9258,f684]) ).
thf(f9276,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_35
| spl2_196 ),
inference(trivial_inequality_removal,[],[f9270]) ).
thf(f9283,plain,
( spl2_204
| spl2_205
| spl2_172
| ~ spl2_35
| spl2_196 ),
inference(avatar_split_clause,[],[f9276,f6951,f683,f5707,f7106,f7103]) ).
thf(f9318,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_212
| ~ spl2_219 ),
inference(constrained_superposition,[],[f7771,f7457]) ).
thf(f9323,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_212
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f9318]) ).
thf(f9331,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_163
| ~ spl2_212
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f9323,f6926]) ).
thf(f9337,plain,
( spl2_16
| ~ spl2_163
| ~ spl2_212
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f9331,f7770,f7456,f5488,f224]) ).
thf(f9430,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X2 )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( ( b @ X2 @ sK1 )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_245 ),
inference(constrained_superposition,[],[f9110,f299]) ).
thf(f9437,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X2 @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( sK1 = X2 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_245 ),
inference(duplicate_literal_removal,[],[f9430]) ).
thf(f9438,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ sK1 )
= $true )
| ( sK1 = X2 )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f9437]) ).
thf(f9444,plain,
( spl2_38
| spl2_16
| spl2_160
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f9438,f8818,f5180,f224,f716]) ).
thf(f9545,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_163 ),
inference(constrained_superposition,[],[f8771,f6926]) ).
thf(f9550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_163 ),
inference(duplicate_literal_removal,[],[f9545]) ).
thf(f9551,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f9550]) ).
thf(f9563,definition,
( spl2_280
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_280])],[avatar_definition]) ).
thf(f9564,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_280 ),
inference(avatar_component_clause,[],[f9563]) ).
thf(f9566,plain,
( spl2_280
| ~ spl2_163 ),
inference(avatar_split_clause,[],[f9551,f5488,f9563]) ).
thf(f9572,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_23
| ~ spl2_280 ),
inference(constrained_superposition,[],[f9564,f348]) ).
thf(f9578,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_23
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f9572]) ).
thf(f9584,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_23
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f9578,f125]) ).
thf(f9586,plain,
( spl2_102
| ~ spl2_7
| ~ spl2_23
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f9584,f9563,f347,f124,f2792]) ).
thf(f9588,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_172 ),
inference(avatar_component_clause,[],[f5707]) ).
thf(f9608,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_190 ),
inference(constrained_superposition,[],[f281,f6929]) ).
thf(f9616,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_21
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f9608]) ).
thf(f9623,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_21
| ~ spl2_30
| ~ spl2_190 ),
inference(forward_subsumption_resolution,[],[f9616,f609]) ).
thf(f9624,plain,
( $false
| ~ spl2_21
| ~ spl2_30
| spl2_163
| ~ spl2_190 ),
inference(forward_subsumption_resolution,[],[f9623,f5489]) ).
thf(f9625,plain,
( ~ spl2_21
| ~ spl2_30
| spl2_163
| ~ spl2_190 ),
inference(avatar_contradiction_clause,[],[f9624]) ).
thf(f9655,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_245 ),
inference(constrained_superposition,[],[f9098,f435]) ).
thf(f9657,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 ) )
| spl2_245 ),
inference(trivial_inequality_removal,[],[f9655]) ).
thf(f9659,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_245 ),
inference(forward_subsumption_resolution,[],[f9657,f40]) ).
thf(f9660,plain,
( spl2_38
| spl2_249
| spl2_245 ),
inference(avatar_split_clause,[],[f9659,f8818,f8835,f716]) ).
thf(f9699,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_192
| ~ spl2_226 ),
inference(constrained_superposition,[],[f7905,f6937]) ).
thf(f9701,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_23
| ~ spl2_226 ),
inference(constrained_superposition,[],[f7905,f348]) ).
thf(f9704,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_192
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f9699]) ).
thf(f9709,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_23
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f9701]) ).
thf(f9713,plain,
( $false
| ~ spl2_192
| ~ spl2_226
| ~ spl2_231 ),
inference(forward_subsumption_resolution,[],[f9704,f7952]) ).
thf(f9714,plain,
( ~ spl2_192
| ~ spl2_226
| ~ spl2_231 ),
inference(avatar_contradiction_clause,[],[f9713]) ).
thf(f9717,plain,
( $false
| ~ spl2_23
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f9709,f348]) ).
thf(f9718,plain,
( ~ spl2_23
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f9717]) ).
thf(f9745,plain,
( $false
| ~ spl2_11
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f5704,f173]) ).
thf(f9746,plain,
( ~ spl2_11
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f9745]) ).
thf(f9753,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ~ spl2_249
| spl2_252 ),
inference(constrained_superposition,[],[f9119,f8836]) ).
thf(f9769,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_249
| spl2_252 ),
inference(trivial_inequality_removal,[],[f9753]) ).
thf(f9775,plain,
( $false
| ~ spl2_249
| spl2_252 ),
inference(forward_subsumption_resolution,[],[f9769,f40]) ).
thf(f9776,plain,
( ~ spl2_249
| spl2_252 ),
inference(avatar_contradiction_clause,[],[f9775]) ).
thf(f9782,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_54 ),
inference(constrained_superposition,[],[f989,f50]) ).
thf(f9784,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f9782]) ).
thf(f9791,plain,
( spl2_252
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f9784,f988,f8847]) ).
thf(f9803,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_204
| ~ spl2_212 ),
inference(constrained_superposition,[],[f7457,f7104]) ).
thf(f9804,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_204
| ~ spl2_231 ),
inference(constrained_superposition,[],[f7952,f7104]) ).
thf(f9805,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_204
| spl2_257 ),
inference(constrained_superposition,[],[f9005,f7104]) ).
thf(f9823,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f407,f7104]) ).
thf(f9825,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_204 ),
inference(constrained_superposition,[],[f631,f7104]) ).
thf(f9860,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_204 ),
inference(duplicate_literal_removal,[],[f9825]) ).
thf(f9863,plain,
( $false
| spl2_44
| ~ spl2_204
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f9803,f2395]) ).
thf(f9864,plain,
( spl2_44
| ~ spl2_204
| ~ spl2_212 ),
inference(avatar_contradiction_clause,[],[f9863]) ).
thf(f9871,plain,
( spl2_51
| ~ spl2_204
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f9804,f7951,f7103,f974]) ).
thf(f9872,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_55
| ~ spl2_204 ),
inference(forward_subsumption_resolution,[],[f9823,f3835]) ).
thf(f9873,plain,
( spl2_53
| spl2_51
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f9860,f7103,f974,f982]) ).
thf(f9875,plain,
( $false
| ~ spl2_30
| ~ spl2_204
| spl2_257 ),
inference(forward_subsumption_resolution,[],[f9805,f609]) ).
thf(f9876,plain,
( ~ spl2_30
| ~ spl2_204
| spl2_257 ),
inference(avatar_contradiction_clause,[],[f9875]) ).
thf(f9880,plain,
( spl2_51
| spl2_55
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f9872,f7103,f1002,f974]) ).
thf(f9889,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f337,f5704]) ).
thf(f9892,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f26,f5704]) ).
thf(f9896,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14 ),
inference(duplicate_literal_removal,[],[f9892]) ).
thf(f9897,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f9896]) ).
thf(f9901,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_14 ),
inference(duplicate_literal_removal,[],[f9889]) ).
thf(f9902,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f9901]) ).
thf(f9905,plain,
( spl2_54
| spl2_11
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f9897,f182,f172,f988]) ).
thf(f9906,plain,
( spl2_24
| spl2_24
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f9902,f182,f440,f440]) ).
thf(f9909,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_32 ),
inference(constrained_superposition,[],[f643,f25]) ).
thf(f9912,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_32 ),
inference(trivial_inequality_removal,[],[f9909]) ).
thf(f9913,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_173 ),
inference(constrained_superposition,[],[f5711,f49]) ).
thf(f9916,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_173 ),
inference(trivial_inequality_removal,[],[f9913]) ).
thf(f9918,plain,
( spl2_163
| spl2_173 ),
inference(avatar_split_clause,[],[f9916,f5710,f5488]) ).
thf(f9923,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_51
| ~ spl2_74 ),
inference(constrained_superposition,[],[f2159,f975]) ).
thf(f9924,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_51
| ~ spl2_171 ),
inference(constrained_superposition,[],[f5700,f975]) ).
thf(f9928,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_51
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f9924]) ).
thf(f9930,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_51
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f9923]) ).
thf(f9935,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_30
| ~ spl2_51
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f9928,f609]) ).
thf(f9937,plain,
( $false
| ~ spl2_30
| ~ spl2_51
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f9930,f609]) ).
thf(f9938,plain,
( ~ spl2_30
| ~ spl2_51
| ~ spl2_74 ),
inference(avatar_contradiction_clause,[],[f9937]) ).
thf(f9939,plain,
( spl2_68
| ~ spl2_30
| ~ spl2_51
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f9935,f5699,f974,f608,f1583]) ).
thf(f9969,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_23
| ~ spl2_102 ),
inference(constrained_superposition,[],[f2793,f348]) ).
thf(f9978,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ~ spl2_23
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f9969]) ).
thf(f9992,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_196 ),
inference(constrained_superposition,[],[f9258,f109]) ).
thf(f9997,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_196 ),
inference(trivial_inequality_removal,[],[f9992]) ).
thf(f10001,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_196 ),
inference(forward_subsumption_resolution,[],[f9997,f40]) ).
thf(f10027,plain,
( $false
| ~ spl2_23
| ~ spl2_102
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f8819,f9978]) ).
thf(f10028,plain,
( ~ spl2_23
| ~ spl2_102
| ~ spl2_245 ),
inference(avatar_contradiction_clause,[],[f10027]) ).
thf(f10029,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_32
| spl2_34 ),
inference(forward_subsumption_resolution,[],[f9912,f6893]) ).
thf(f10031,plain,
( spl2_31
| spl2_32
| spl2_34 ),
inference(avatar_split_clause,[],[f10029,f657,f642,f612]) ).
thf(f10046,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_102 ),
inference(constrained_superposition,[],[f2793,f613]) ).
thf(f10048,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_31
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f10046]) ).
thf(f10054,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_260 ),
inference(constrained_superposition,[],[f27,f9093]) ).
thf(f10056,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_260 ),
inference(trivial_inequality_removal,[],[f10054]) ).
thf(f10058,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_102
| ~ spl2_198 ),
inference(constrained_superposition,[],[f2793,f7027]) ).
thf(f10060,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_102
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f10058]) ).
thf(f10063,plain,
( $false
| ~ spl2_102
| ~ spl2_198
| ~ spl2_260 ),
inference(forward_subsumption_resolution,[],[f10060,f9093]) ).
thf(f10064,plain,
( ~ spl2_102
| ~ spl2_198
| ~ spl2_260 ),
inference(avatar_contradiction_clause,[],[f10063]) ).
thf(f10128,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f176,f407]) ).
thf(f10131,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f176,f50]) ).
thf(f10133,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f10131]) ).
thf(f10136,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f10128]) ).
thf(f10140,definition,
( spl2_285
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_285])],[avatar_definition]) ).
thf(f10141,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_285 ),
inference(avatar_component_clause,[],[f10140]) ).
thf(f10142,plain,
( ~ spl2_244
| spl2_285
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f10133,f175,f10140,f8815]) ).
thf(f10147,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_192
| ~ spl2_280 ),
inference(constrained_superposition,[],[f9564,f6937]) ).
thf(f10151,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f10147]) ).
thf(f10170,definition,
( spl2_286
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_286])],[avatar_definition]) ).
thf(f10171,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_286 ),
inference(avatar_component_clause,[],[f10170]) ).
thf(f10172,plain,
( ~ spl2_212
| spl2_286
| ~ spl2_192
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f10151,f9563,f6936,f10170,f7456]) ).
thf(f10272,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_163
| ~ spl2_260 ),
inference(constrained_superposition,[],[f10056,f6926]) ).
thf(f10280,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_163
| ~ spl2_260 ),
inference(duplicate_literal_removal,[],[f10272]) ).
thf(f10281,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_163
| ~ spl2_260 ),
inference(trivial_inequality_removal,[],[f10280]) ).
thf(f10286,definition,
( spl2_289
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_289])],[avatar_definition]) ).
thf(f10287,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_289 ),
inference(avatar_component_clause,[],[f10286]) ).
thf(f10289,plain,
( spl2_16
| spl2_289
| ~ spl2_163
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f10281,f9092,f5488,f10286,f224]) ).
thf(f10302,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_192
| ~ spl2_289 ),
inference(constrained_superposition,[],[f10287,f6937]) ).
thf(f10305,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_192
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f10302]) ).
thf(f10341,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_194 ),
inference(constrained_superposition,[],[f8529,f365]) ).
thf(f10346,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f10341]) ).
thf(f10353,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_194
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f10346,f10287]) ).
thf(f10354,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_194
| spl2_212
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f10353,f7772]) ).
thf(f10355,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_192
| ~ spl2_194
| spl2_212
| ~ spl2_289 ),
inference(constrained_superposition,[],[f10354,f6937]) ).
thf(f10365,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_192
| ~ spl2_194
| spl2_212
| ~ spl2_289 ),
inference(duplicate_literal_removal,[],[f10355]) ).
thf(f10366,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_192
| ~ spl2_194
| spl2_212
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f10365]) ).
thf(f10373,definition,
( spl2_294
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_294])],[avatar_definition]) ).
thf(f10374,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_294 ),
inference(avatar_component_clause,[],[f10373]) ).
thf(f10376,definition,
( spl2_295
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_295])],[avatar_definition]) ).
thf(f10377,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_295 ),
inference(avatar_component_clause,[],[f10376]) ).
thf(f10378,plain,
( spl2_294
| spl2_295
| ~ spl2_192
| ~ spl2_194
| spl2_212
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f10366,f10286,f7456,f6943,f6936,f10376,f10373]) ).
thf(f10384,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_192
| ~ spl2_295 ),
inference(constrained_superposition,[],[f10377,f6937]) ).
thf(f10386,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_260
| ~ spl2_295 ),
inference(constrained_superposition,[],[f10377,f9093]) ).
thf(f10387,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_260
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f10386]) ).
thf(f10388,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_192
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f10384]) ).
thf(f10394,plain,
( $false
| ~ spl2_163
| ~ spl2_260
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f10387,f6926]) ).
thf(f10395,plain,
( ~ spl2_163
| ~ spl2_260
| ~ spl2_295 ),
inference(avatar_contradiction_clause,[],[f10394]) ).
thf(f10396,plain,
( $false
| ~ spl2_192
| ~ spl2_194
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f10388,f6944]) ).
thf(f10397,plain,
( ~ spl2_192
| ~ spl2_194
| ~ spl2_295 ),
inference(avatar_contradiction_clause,[],[f10396]) ).
thf(f10415,plain,
( ~ spl2_212
| ~ spl2_192
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f10305,f10286,f6936,f7456]) ).
thf(f10421,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f7448,f107]) ).
thf(f10429,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f10421]) ).
thf(f10431,plain,
( spl2_257
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f10429,f7447,f8991]) ).
thf(f10443,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_74
| ~ spl2_231 ),
inference(constrained_superposition,[],[f2159,f7952]) ).
thf(f10444,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_171
| ~ spl2_231 ),
inference(constrained_superposition,[],[f5700,f7952]) ).
thf(f10446,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f10443]) ).
thf(f10447,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_171
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f10444]) ).
thf(f10451,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_171
| ~ spl2_231
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f10447,f8992]) ).
thf(f10452,plain,
( spl2_259
| ~ spl2_171
| ~ spl2_231
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f10451,f8991,f7951,f5699,f9007]) ).
thf(f10453,plain,
( ~ spl2_257
| spl2_259
| ~ spl2_171
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f10447,f7951,f5699,f9007,f8991]) ).
thf(f10454,plain,
( ~ spl2_257
| ~ spl2_74
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f10446,f7951,f2158,f8991]) ).
thf(f10458,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_102
| ~ spl2_234 ),
inference(constrained_superposition,[],[f2793,f7962]) ).
thf(f10460,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_102
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f10458]) ).
thf(f10482,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_12
| ~ spl2_193 ),
inference(constrained_superposition,[],[f176,f6940]) ).
thf(f10483,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f140,f6940]) ).
thf(f10502,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f10483]) ).
thf(f10505,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_12
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f10482]) ).
thf(f10510,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_172
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f10502,f9588]) ).
thf(f10511,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_193
| spl2_198 ),
inference(forward_subsumption_resolution,[],[f10505,f6978]) ).
thf(f10514,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_172
| ~ spl2_193 ),
inference(constrained_superposition,[],[f10510,f51]) ).
thf(f10515,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_172
| ~ spl2_193 ),
inference(constrained_superposition,[],[f10510,f25]) ).
thf(f10516,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_172
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f10514]) ).
thf(f10517,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_172
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f10515]) ).
thf(f10519,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_172
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f10516,f40]) ).
thf(f10520,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_172
| ~ spl2_193
| spl2_257 ),
inference(forward_subsumption_resolution,[],[f10517,f9005]) ).
thf(f10523,plain,
( $false
| spl2_172
| ~ spl2_193
| spl2_257 ),
inference(forward_subsumption_resolution,[],[f10519,f9005]) ).
thf(f10524,plain,
( spl2_172
| ~ spl2_193
| spl2_257 ),
inference(avatar_contradiction_clause,[],[f10523]) ).
thf(f10525,plain,
( spl2_214
| spl2_172
| ~ spl2_193
| spl2_257 ),
inference(avatar_split_clause,[],[f10520,f8991,f6939,f5707,f7542]) ).
thf(f10527,definition,
( spl2_298
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_298])],[avatar_definition]) ).
thf(f10528,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_298 ),
inference(avatar_component_clause,[],[f10527]) ).
thf(f10532,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_119
| ~ spl2_172 ),
inference(constrained_superposition,[],[f3605,f5708]) ).
thf(f10535,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f27,f5708]) ).
thf(f10537,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_119
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f10532]) ).
thf(f10539,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f10535]) ).
thf(f10541,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_119
| ~ spl2_163
| ~ spl2_172 ),
inference(forward_subsumption_resolution,[],[f10537,f6926]) ).
thf(f10544,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( sK1 = X0 ) )
| spl2_252 ),
inference(constrained_superposition,[],[f9119,f503]) ).
thf(f10547,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| spl2_252 ),
inference(trivial_inequality_removal,[],[f10544]) ).
thf(f10549,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| spl2_252 ),
inference(forward_subsumption_resolution,[],[f10547,f40]) ).
thf(f10551,plain,
( spl2_253
| spl2_252 ),
inference(avatar_split_clause,[],[f10549,f8847,f8850]) ).
thf(f10552,plain,
( ~ spl2_298
| ~ spl2_12
| ~ spl2_193
| spl2_198 ),
inference(avatar_split_clause,[],[f10511,f6977,f6939,f175,f10527]) ).
thf(f10566,plain,
( ~ spl2_245
| ~ spl2_31
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f10048,f2792,f612,f8818]) ).
thf(f10613,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_298 ),
inference(constrained_superposition,[],[f10528,f107]) ).
thf(f10618,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_298 ),
inference(trivial_inequality_removal,[],[f10613]) ).
thf(f10621,plain,
( spl2_257
| spl2_298 ),
inference(avatar_split_clause,[],[f10618,f10527,f8991]) ).
thf(f10622,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_119
| ~ spl2_257 ),
inference(constrained_superposition,[],[f3605,f8992]) ).
thf(f10624,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_119
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f10622]) ).
thf(f10626,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_231 ),
inference(constrained_superposition,[],[f8696,f109]) ).
thf(f10631,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_231 ),
inference(trivial_inequality_removal,[],[f10626]) ).
thf(f10635,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_231 ),
inference(forward_subsumption_resolution,[],[f10631,f40]) ).
thf(f10640,plain,
( ~ spl2_212
| spl2_286
| ~ spl2_119
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f10624,f8991,f3604,f10170,f7456]) ).
thf(f10671,definition,
( spl2_300
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_300])],[avatar_definition]) ).
thf(f10672,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_300 ),
inference(avatar_component_clause,[],[f10671]) ).
thf(f10681,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_119
| ~ spl2_163
| ~ spl2_172 ),
inference(constrained_superposition,[],[f10541,f5708]) ).
thf(f10691,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_119
| ~ spl2_163
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f10681]) ).
thf(f10708,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_193
| ~ spl2_201 ),
inference(constrained_superposition,[],[f7025,f6940]) ).
thf(f10709,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f631,f6940]) ).
thf(f10728,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f10708]) ).
thf(f10731,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f10709]) ).
thf(f10737,plain,
( $false
| ~ spl2_193
| ~ spl2_201
| spl2_231 ),
inference(forward_subsumption_resolution,[],[f10728,f10635]) ).
thf(f10738,plain,
( ~ spl2_193
| ~ spl2_201
| spl2_231 ),
inference(avatar_contradiction_clause,[],[f10737]) ).
thf(f10739,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_193
| spl2_231 ),
inference(forward_subsumption_resolution,[],[f10731,f10635]) ).
thf(f10741,plain,
( $false
| ~ spl2_193
| spl2_196
| spl2_231 ),
inference(forward_subsumption_resolution,[],[f10739,f9258]) ).
thf(f10742,plain,
( ~ spl2_193
| spl2_196
| spl2_231 ),
inference(avatar_contradiction_clause,[],[f10741]) ).
thf(f10762,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f27,f7952]) ).
thf(f10764,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f10762]) ).
thf(f10768,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_192
| ~ spl2_227 ),
inference(constrained_superposition,[],[f7910,f6937]) ).
thf(f10769,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f27,f6937]) ).
thf(f10770,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_192
| ~ spl2_227 ),
inference(trivial_inequality_removal,[],[f10768]) ).
thf(f10773,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f10769]) ).
thf(f10811,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_192
| ~ spl2_286 ),
inference(constrained_superposition,[],[f10171,f6937]) ).
thf(f10823,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f10811]) ).
thf(f10826,plain,
( $false
| ~ spl2_192
| ~ spl2_260
| ~ spl2_286 ),
inference(forward_subsumption_resolution,[],[f10823,f9093]) ).
thf(f10827,plain,
( ~ spl2_192
| ~ spl2_260
| ~ spl2_286 ),
inference(avatar_contradiction_clause,[],[f10826]) ).
thf(f10828,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_231
| ~ spl2_259 ),
inference(constrained_superposition,[],[f9008,f7952]) ).
thf(f10838,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_231
| ~ spl2_259 ),
inference(trivial_inequality_removal,[],[f10828]) ).
thf(f10844,plain,
( $false
| ~ spl2_31
| ~ spl2_231
| ~ spl2_259 ),
inference(forward_subsumption_resolution,[],[f10838,f613]) ).
thf(f10845,plain,
( ~ spl2_31
| ~ spl2_231
| ~ spl2_259 ),
inference(avatar_contradiction_clause,[],[f10844]) ).
thf(f10851,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_195
| ~ spl2_300 ),
inference(constrained_superposition,[],[f10672,f6947]) ).
thf(f10853,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_300 ),
inference(constrained_superposition,[],[f10672,f50]) ).
thf(f10855,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f10853]) ).
thf(f10858,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_195
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f10851]) ).
thf(f10859,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_102
| ~ spl2_234
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f10855,f10460]) ).
thf(f10860,plain,
( $false
| ~ spl2_195
| spl2_196
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f10858,f10001]) ).
thf(f10861,plain,
( ~ spl2_195
| spl2_196
| ~ spl2_300 ),
inference(avatar_contradiction_clause,[],[f10860]) ).
thf(f10862,plain,
( ~ spl2_243
| ~ spl2_102
| ~ spl2_234
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f10859,f10671,f7961,f2792,f8810]) ).
thf(f10888,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_172 ),
inference(constrained_superposition,[],[f10539,f5708]) ).
thf(f10900,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_172 ),
inference(duplicate_literal_removal,[],[f10888]) ).
thf(f10901,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_172 ),
inference(trivial_inequality_removal,[],[f10900]) ).
thf(f10907,plain,
( spl2_174
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f10901,f5707,f5722]) ).
thf(f10912,plain,
( ! [X0: $i] :
( ( $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_174
| ~ spl2_192 ),
inference(constrained_superposition,[],[f5723,f6937]) ).
thf(f10913,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_174
| ~ spl2_190 ),
inference(constrained_superposition,[],[f5723,f6929]) ).
thf(f10918,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_174
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f10912]) ).
thf(f10921,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_174
| ~ spl2_190 ),
inference(trivial_inequality_removal,[],[f10913]) ).
thf(f10922,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_30
| ~ spl2_174
| ~ spl2_190 ),
inference(forward_subsumption_resolution,[],[f10921,f609]) ).
thf(f10923,plain,
( spl2_68
| ~ spl2_30
| ~ spl2_174
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f10922,f6928,f5722,f608,f1583]) ).
thf(f10952,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f10764,f7952]) ).
thf(f10964,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_231 ),
inference(duplicate_literal_removal,[],[f10952]) ).
thf(f10965,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f10964]) ).
thf(f10980,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_231
| ~ spl2_234 ),
inference(constrained_superposition,[],[f10965,f7962]) ).
thf(f10983,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_231
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f10980]) ).
thf(f11006,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f10773,f6937]) ).
thf(f11017,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_192 ),
inference(duplicate_literal_removal,[],[f11006]) ).
thf(f11018,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f11017]) ).
thf(f11048,definition,
( spl2_305
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_305])],[avatar_definition]) ).
thf(f11049,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_305 ),
inference(avatar_component_clause,[],[f11048]) ).
thf(f11078,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f61,f6933]) ).
thf(f11095,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f11078]) ).
thf(f11117,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_231
| ~ spl2_253 ),
inference(constrained_superposition,[],[f10965,f8851]) ).
thf(f11136,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_231
| ~ spl2_253 ),
inference(trivial_inequality_removal,[],[f11117]) ).
thf(f11157,plain,
( ~ spl2_252
| ~ spl2_119
| ~ spl2_163
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f10691,f5707,f5488,f3604,f8847]) ).
thf(f11163,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_16
| ~ spl2_260 ),
inference(constrained_superposition,[],[f225,f9093]) ).
thf(f11164,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_16
| ~ spl2_252 ),
inference(constrained_superposition,[],[f225,f8848]) ).
thf(f11168,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_16
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f11164]) ).
thf(f11170,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_16
| ~ spl2_260 ),
inference(trivial_inequality_removal,[],[f11163]) ).
thf(f11172,plain,
( $false
| ~ spl2_7
| ~ spl2_16
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f11168,f125]) ).
thf(f11173,plain,
( ~ spl2_7
| ~ spl2_16
| ~ spl2_252 ),
inference(avatar_contradiction_clause,[],[f11172]) ).
thf(f11175,plain,
( $false
| ~ spl2_16
| ~ spl2_163
| ~ spl2_260 ),
inference(forward_subsumption_resolution,[],[f11170,f6926]) ).
thf(f11176,plain,
( ~ spl2_16
| ~ spl2_163
| ~ spl2_260 ),
inference(avatar_contradiction_clause,[],[f11175]) ).
thf(f11201,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_294 ),
inference(constrained_superposition,[],[f10374,f109]) ).
thf(f11206,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f11201]) ).
thf(f11265,definition,
( spl2_308
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).
thf(f11266,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f11265]) ).
thf(f11328,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_190 ),
inference(avatar_component_clause,[],[f6928]) ).
thf(f11379,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_31
| ~ spl2_231
| ~ spl2_234 ),
inference(forward_subsumption_resolution,[],[f10983,f613]) ).
thf(f11380,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_231
| ~ spl2_253 ),
inference(forward_subsumption_resolution,[],[f11136,f40]) ).
thf(f11381,plain,
( spl2_68
| ~ spl2_31
| ~ spl2_231
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f11379,f7961,f7951,f612,f1583]) ).
thf(f11382,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_31
| ~ spl2_231
| ~ spl2_253 ),
inference(forward_subsumption_resolution,[],[f11380,f613]) ).
thf(f11386,definition,
( spl2_312
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_312])],[avatar_definition]) ).
thf(f11387,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_312 ),
inference(avatar_component_clause,[],[f11386]) ).
thf(f11388,plain,
( spl2_214
| spl2_312
| spl2_68
| ~ spl2_31
| ~ spl2_231
| ~ spl2_253 ),
inference(avatar_split_clause,[],[f11382,f8850,f7951,f612,f1583,f11386,f7542]) ).
thf(f11431,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X3 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_285 ),
inference(constrained_superposition,[],[f27,f10141]) ).
thf(f11438,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X3 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f11431]) ).
thf(f11487,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_246
| spl2_257 ),
inference(constrained_superposition,[],[f9005,f8823]) ).
thf(f11495,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_246
| ~ spl2_285 ),
inference(constrained_superposition,[],[f11438,f8823]) ).
thf(f11501,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_246
| ~ spl2_285 ),
inference(duplicate_literal_removal,[],[f11495]) ).
thf(f11502,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_246
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f11501]) ).
thf(f11505,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_246
| spl2_257 ),
inference(trivial_inequality_removal,[],[f11487]) ).
thf(f11509,definition,
( spl2_313
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_313])],[avatar_definition]) ).
thf(f11510,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_313 ),
inference(avatar_component_clause,[],[f11509]) ).
thf(f11511,plain,
( spl2_20
| spl2_313
| ~ spl2_246
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f11502,f10140,f8822,f11509,f277]) ).
thf(f11512,plain,
( spl2_312
| ~ spl2_246
| spl2_257 ),
inference(avatar_split_clause,[],[f11505,f8991,f8822,f11386]) ).
thf(f11531,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_118
| spl2_257 ),
inference(constrained_superposition,[],[f9005,f3570]) ).
thf(f11545,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_118
| spl2_257 ),
inference(trivial_inequality_removal,[],[f11531]) ).
thf(f11551,plain,
( $false
| ~ spl2_118
| spl2_212
| spl2_257 ),
inference(forward_subsumption_resolution,[],[f11545,f7772]) ).
thf(f11552,plain,
( ~ spl2_118
| spl2_212
| spl2_257 ),
inference(avatar_contradiction_clause,[],[f11551]) ).
thf(f11558,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_38
| ~ spl2_74 ),
inference(constrained_superposition,[],[f2159,f717]) ).
thf(f11569,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_38
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f11558]) ).
thf(f11760,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_255
| spl2_257 ),
inference(constrained_superposition,[],[f9005,f8985]) ).
thf(f11833,plain,
( $false
| ~ spl2_30
| ~ spl2_255
| spl2_257 ),
inference(forward_subsumption_resolution,[],[f11760,f609]) ).
thf(f11834,plain,
( ~ spl2_30
| ~ spl2_255
| spl2_257 ),
inference(avatar_contradiction_clause,[],[f11833]) ).
thf(f12037,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f9136,f25]) ).
thf(f12040,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f12037]) ).
thf(f12094,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_63
| spl2_190 ),
inference(constrained_superposition,[],[f11328,f1204]) ).
thf(f12112,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_63
| spl2_190 ),
inference(trivial_inequality_removal,[],[f12094]) ).
thf(f12128,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_63
| spl2_190
| spl2_198 ),
inference(forward_subsumption_resolution,[],[f12112,f6978]) ).
thf(f12131,plain,
( spl2_204
| spl2_205
| ~ spl2_63
| spl2_190
| spl2_198 ),
inference(avatar_split_clause,[],[f12128,f6977,f6928,f1203,f7106,f7103]) ).
thf(f12133,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_190
| ~ spl2_221 ),
inference(constrained_superposition,[],[f11328,f7804]) ).
thf(f12154,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_190
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f12133]) ).
thf(f12166,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_190
| ~ spl2_221 ),
inference(forward_subsumption_resolution,[],[f12154,f40]) ).
thf(f12167,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_44
| spl2_190
| ~ spl2_221 ),
inference(forward_subsumption_resolution,[],[f12166,f2395]) ).
thf(f12168,plain,
( spl2_205
| spl2_44
| spl2_190
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f12167,f7803,f6928,f849,f7106]) ).
thf(f12194,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_4
| ~ spl2_74 ),
inference(constrained_superposition,[],[f2159,f12040]) ).
thf(f12223,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_4
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f12194]) ).
thf(f12233,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f9029,f365]) ).
thf(f12236,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f12233]) ).
thf(f12255,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( $true != $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f9139,f49]) ).
thf(f12258,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f12255]) ).
thf(f12261,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45
| ~ spl2_74 ),
inference(constrained_superposition,[],[f2159,f857]) ).
thf(f12269,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f12261]) ).
thf(f12273,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_45
| ~ spl2_74 ),
inference(constrained_superposition,[],[f12269,f365]) ).
thf(f12276,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_45
| ~ spl2_74 ),
inference(duplicate_literal_removal,[],[f12273]) ).
thf(f12277,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_45
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f12276]) ).
thf(f12325,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| spl2_34 ),
inference(extensionality_resolution,[],[f12258,f6893]) ).
thf(f12327,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4 ),
inference(extensionality_resolution,[],[f12258,f40]) ).
thf(f12328,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_4 ),
inference(extensionality_resolution,[],[f12258,f40]) ).
thf(f12339,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4
| ~ spl2_45
| ~ spl2_74 ),
inference(constrained_superposition,[],[f12269,f12258]) ).
thf(f12340,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_4
| ~ spl2_74 ),
inference(constrained_superposition,[],[f9029,f12258]) ).
thf(f12385,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_4
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f12340]) ).
thf(f12393,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_45
| ~ spl2_74 ),
inference(duplicate_literal_removal,[],[f12339]) ).
thf(f12394,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4
| ~ spl2_45
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f12393]) ).
thf(f12468,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74
| ~ spl2_242 ),
inference(constrained_superposition,[],[f2159,f8808]) ).
thf(f12474,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X3 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_242 ),
inference(constrained_superposition,[],[f27,f8808]) ).
thf(f12478,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X3 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f12474]) ).
thf(f12482,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_74
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f12468]) ).
thf(f12496,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_242 ),
inference(constrained_superposition,[],[f12478,f8808]) ).
thf(f12514,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl2_242 ),
inference(duplicate_literal_removal,[],[f12496]) ).
thf(f12515,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f12514]) ).
thf(f12531,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_194
| ~ spl2_242 ),
inference(constrained_superposition,[],[f12515,f6944]) ).
thf(f12540,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_194
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f12531]) ).
thf(f12575,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_201
| ~ spl2_294 ),
inference(constrained_superposition,[],[f7025,f11206]) ).
thf(f12577,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_12
| ~ spl2_294 ),
inference(constrained_superposition,[],[f176,f11206]) ).
thf(f12590,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_201
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f12575]) ).
thf(f12593,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_12
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f12577]) ).
thf(f12603,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_12
| spl2_198
| ~ spl2_294 ),
inference(forward_subsumption_resolution,[],[f12593,f6978]) ).
thf(f12610,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_12
| spl2_198
| ~ spl2_294 ),
inference(constrained_superposition,[],[f12603,f107]) ).
thf(f12615,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_12
| spl2_198
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f12610]) ).
thf(f12619,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_12
| ~ spl2_74
| spl2_198
| ~ spl2_294 ),
inference(constrained_superposition,[],[f9029,f12615]) ).
thf(f12633,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_12
| ~ spl2_74
| spl2_198
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f12619]) ).
thf(f12646,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_12
| ~ spl2_74
| spl2_198
| ~ spl2_201
| ~ spl2_294 ),
inference(forward_subsumption_resolution,[],[f12633,f12590]) ).
thf(f12847,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_12
| ~ spl2_74
| spl2_198
| ~ spl2_201
| spl2_212
| ~ spl2_294 ),
inference(constrained_superposition,[],[f7772,f12646]) ).
thf(f12883,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_234 ),
inference(avatar_component_clause,[],[f7961]) ).
thf(f12885,definition,
( spl2_324
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_324])],[avatar_definition]) ).
thf(f12886,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_324 ),
inference(avatar_component_clause,[],[f12885]) ).
thf(f12891,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_12
| ~ spl2_74
| ~ spl2_163
| spl2_198
| ~ spl2_201
| spl2_212
| ~ spl2_294 ),
inference(forward_subsumption_resolution,[],[f12847,f6926]) ).
thf(f12911,definition,
( spl2_327
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_327])],[avatar_definition]) ).
thf(f12912,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_327 ),
inference(avatar_component_clause,[],[f12911]) ).
thf(f12921,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_12
| ~ spl2_74
| ~ spl2_163
| spl2_198
| ~ spl2_201
| spl2_212
| ~ spl2_294 ),
inference(forward_subsumption_resolution,[],[f12891,f40]) ).
thf(f12940,plain,
( spl2_204
| ~ spl2_12
| ~ spl2_74
| ~ spl2_163
| spl2_198
| ~ spl2_201
| spl2_212
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f12921,f10373,f7456,f7024,f6977,f5488,f2158,f175,f7103]) ).
thf(f12944,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f12236,f40]) ).
thf(f12952,plain,
( spl2_8
| spl2_252
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f9137,f80,f8847,f127]) ).
thf(f12954,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f12385,f40]) ).
thf(f12955,plain,
( spl2_7
| spl2_285
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f12328,f80,f10140,f124]) ).
thf(f12960,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f12277,f40]) ).
thf(f12964,plain,
( spl2_252
| spl2_118
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f12327,f80,f3569,f8847]) ).
thf(f12979,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4
| ~ spl2_45
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f12394,f40]) ).
thf(f12985,plain,
( ~ spl2_257
| spl2_259
| ~ spl2_174
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f10918,f6936,f5722,f9007,f8991]) ).
thf(f12989,definition,
( spl2_337
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_337])],[avatar_definition]) ).
thf(f12990,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_337 ),
inference(avatar_component_clause,[],[f12989]) ).
thf(f12994,definition,
( spl2_338
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_338])],[avatar_definition]) ).
thf(f12995,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_338 ),
inference(avatar_component_clause,[],[f12994]) ).
thf(f12996,plain,
( spl2_7
| spl2_338
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f12944,f2158,f12994,f124]) ).
thf(f13002,plain,
( spl2_338
| spl2_252
| ~ spl2_4
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f12954,f2158,f80,f8847,f12994]) ).
thf(f13003,plain,
( spl2_96
| spl2_7
| ~ spl2_45
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f12960,f2158,f856,f124,f2613]) ).
thf(f13014,plain,
( spl2_252
| spl2_96
| ~ spl2_4
| ~ spl2_45
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f12979,f2158,f856,f80,f2613,f8847]) ).
thf(f13023,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_7 ),
inference(constrained_superposition,[],[f231,f503]) ).
thf(f13026,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| spl2_7 ),
inference(trivial_inequality_removal,[],[f13023]) ).
thf(f13030,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f13026,f40]) ).
thf(f13033,plain,
( spl2_253
| spl2_7 ),
inference(avatar_split_clause,[],[f13030,f124,f8850]) ).
thf(f13038,plain,
( ( $true != $true )
| ~ spl2_46
| ~ spl2_191 ),
inference(constrained_superposition,[],[f860,f6933]) ).
thf(f13047,plain,
( $false
| ~ spl2_46
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f13038]) ).
thf(f13048,plain,
( ~ spl2_46
| ~ spl2_191 ),
inference(avatar_contradiction_clause,[],[f13047]) ).
thf(f13065,plain,
( ~ spl2_196
| spl2_305
| spl2_312
| ~ spl2_194
| ~ spl2_242 ),
inference(avatar_split_clause,[],[f12540,f8807,f6943,f11386,f11048,f6951]) ).
thf(f13069,plain,
( ~ spl2_75
| spl2_163
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f11095,f6932,f5488,f2319]) ).
thf(f13111,plain,
( ( $true != $true )
| ~ spl2_96
| spl2_212 ),
inference(constrained_superposition,[],[f7772,f2614]) ).
thf(f13117,plain,
( $false
| ~ spl2_96
| spl2_212 ),
inference(trivial_inequality_removal,[],[f13111]) ).
thf(f13118,plain,
( ~ spl2_96
| spl2_212 ),
inference(avatar_contradiction_clause,[],[f13117]) ).
thf(f13232,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_74
| ~ spl2_242
| ~ spl2_257 ),
inference(constrained_superposition,[],[f12482,f8992]) ).
thf(f13233,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_74
| ~ spl2_257 ),
inference(constrained_superposition,[],[f12269,f8992]) ).
thf(f13235,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_74
| ~ spl2_257 ),
inference(constrained_superposition,[],[f11569,f8992]) ).
thf(f13244,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_45
| ~ spl2_74
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f13233]) ).
thf(f13245,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_38
| ~ spl2_74
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f13235]) ).
thf(f13247,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_74
| ~ spl2_242
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f13232]) ).
thf(f13249,plain,
( $false
| ~ spl2_45
| ~ spl2_74
| spl2_212
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f13244,f7772]) ).
thf(f13250,plain,
( ~ spl2_45
| ~ spl2_74
| spl2_212
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f13249]) ).
thf(f13251,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_38
| ~ spl2_74
| spl2_212
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f13245,f7772]) ).
thf(f13252,plain,
( spl2_312
| ~ spl2_74
| ~ spl2_242
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f13247,f8991,f8807,f2158,f11386]) ).
thf(f13253,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_38
| ~ spl2_74
| spl2_212
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f13251,f40]) ).
thf(f13254,plain,
( spl2_255
| ~ spl2_38
| ~ spl2_74
| spl2_212
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f13253,f8991,f7456,f2158,f716,f8984]) ).
thf(f13256,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_192
| ~ spl2_312 ),
inference(constrained_superposition,[],[f11018,f11387]) ).
thf(f13261,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_192
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f13256]) ).
thf(f13285,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_30
| ~ spl2_121 ),
inference(constrained_superposition,[],[f3672,f609]) ).
thf(f13298,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_30
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f13285]) ).
thf(f13306,plain,
( ~ spl2_252
| ~ spl2_30
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f13298,f3671,f608,f8847]) ).
thf(f13310,plain,
( ~ spl2_231
| ~ spl2_212
| ~ spl2_192
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f10770,f7909,f6936,f7456,f7951]) ).
thf(f13322,plain,
( ( $true != $true )
| ~ spl2_96
| spl2_163 ),
inference(constrained_superposition,[],[f5489,f2614]) ).
thf(f13329,plain,
( $false
| ~ spl2_96
| spl2_163 ),
inference(trivial_inequality_removal,[],[f13322]) ).
thf(f13330,plain,
( ~ spl2_96
| spl2_163 ),
inference(avatar_contradiction_clause,[],[f13329]) ).
thf(f13338,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_260 ),
inference(avatar_component_clause,[],[f9092]) ).
thf(f13343,plain,
( spl2_308
| ~ spl2_260
| ~ spl2_192
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f13261,f11386,f6936,f9092,f11265]) ).
thf(f13344,plain,
( spl2_43
| spl2_245
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f9140,f80,f8818,f846]) ).
thf(f13365,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_4
| spl2_260 ),
inference(constrained_superposition,[],[f13338,f12040]) ).
thf(f13368,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_4
| spl2_260 ),
inference(trivial_inequality_removal,[],[f13365]) ).
thf(f13371,plain,
( spl2_221
| ~ spl2_4
| spl2_260 ),
inference(avatar_split_clause,[],[f13368,f9092,f80,f7803]) ).
thf(f13408,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_308 ),
inference(constrained_superposition,[],[f11266,f6944]) ).
thf(f13427,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f13408]) ).
thf(f13430,plain,
( $false
| ~ spl2_194
| ~ spl2_308
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f13427,f11387]) ).
thf(f13431,plain,
( ~ spl2_194
| ~ spl2_308
| ~ spl2_312 ),
inference(avatar_contradiction_clause,[],[f13430]) ).
thf(f13457,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_327 ),
inference(constrained_superposition,[],[f12912,f6937]) ).
thf(f13462,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_327 ),
inference(trivial_inequality_removal,[],[f13457]) ).
thf(f13484,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_300 ),
inference(constrained_superposition,[],[f10672,f108]) ).
thf(f13485,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_300 ),
inference(constrained_superposition,[],[f10672,f50]) ).
thf(f13487,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f13485]) ).
thf(f13489,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f13484]) ).
thf(f13505,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_4
| spl2_172 ),
inference(constrained_superposition,[],[f9588,f12258]) ).
thf(f13511,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| spl2_172 ),
inference(trivial_inequality_removal,[],[f13505]) ).
thf(f13521,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_21
| ~ spl2_192 ),
inference(constrained_superposition,[],[f281,f6937]) ).
thf(f13538,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f13521]) ).
thf(f13546,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_313 ),
inference(constrained_superposition,[],[f11510,f6937]) ).
thf(f13550,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_192
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f13546]) ).
thf(f13565,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_31
| ~ spl2_99 ),
inference(constrained_superposition,[],[f2701,f613]) ).
thf(f13571,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_31
| ~ spl2_99 ),
inference(trivial_inequality_removal,[],[f13565]) ).
thf(f13578,plain,
( spl2_102
| ~ spl2_7
| ~ spl2_31
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f13571,f2700,f612,f124,f2792]) ).
thf(f13586,plain,
( ~ spl2_257
| spl2_163
| ~ spl2_21
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f13538,f6936,f280,f5488,f8991]) ).
thf(f13587,plain,
( ~ spl2_257
| ~ spl2_192
| ~ spl2_327 ),
inference(avatar_split_clause,[],[f13462,f12911,f6936,f8991]) ).
thf(f13589,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_4
| spl2_172 ),
inference(forward_subsumption_resolution,[],[f13511,f40]) ).
thf(f13592,plain,
( spl2_260
| ~ spl2_257
| ~ spl2_192
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f13550,f11509,f6936,f8991,f9092]) ).
thf(f13631,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_99
| ~ spl2_196 ),
inference(constrained_superposition,[],[f2701,f6952]) ).
thf(f13632,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_196 ),
inference(constrained_superposition,[],[f2159,f6952]) ).
thf(f13638,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_99
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f13631]) ).
thf(f13641,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f13632]) ).
thf(f13673,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_160
| ~ spl2_196 ),
inference(constrained_superposition,[],[f5181,f6952]) ).
thf(f13679,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_160
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f13673]) ).
thf(f13684,plain,
( $false
| ~ spl2_160
| ~ spl2_163
| ~ spl2_196 ),
inference(forward_subsumption_resolution,[],[f13679,f6926]) ).
thf(f13685,plain,
( ~ spl2_160
| ~ spl2_163
| ~ spl2_196 ),
inference(avatar_contradiction_clause,[],[f13684]) ).
thf(f13698,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_212
| ~ spl2_255 ),
inference(constrained_superposition,[],[f7772,f8985]) ).
thf(f13764,plain,
( $false
| ~ spl2_44
| spl2_212
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f13698,f850]) ).
thf(f13765,plain,
( ~ spl2_44
| spl2_212
| ~ spl2_255 ),
inference(avatar_contradiction_clause,[],[f13764]) ).
thf(f13771,plain,
( spl2_29
| spl2_31
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f10136,f175,f612,f605]) ).
thf(f13797,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_16
| ~ spl2_245 ),
inference(constrained_superposition,[],[f225,f8819]) ).
thf(f13804,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f13797]) ).
thf(f13809,plain,
( $false
| ~ spl2_16
| ~ spl2_44
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f13804,f850]) ).
thf(f13810,plain,
( ~ spl2_16
| ~ spl2_44
| ~ spl2_245 ),
inference(avatar_contradiction_clause,[],[f13809]) ).
thf(f13813,plain,
( spl2_38
| ~ spl2_252
| ~ spl2_4
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f12223,f2158,f80,f8847,f716]) ).
thf(f13814,plain,
( spl2_312
| ~ spl2_243
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f13487,f10671,f8810,f11386]) ).
thf(f13815,plain,
( spl2_163
| spl2_252
| ~ spl2_4
| spl2_172 ),
inference(avatar_split_clause,[],[f13589,f5707,f80,f8847,f5488]) ).
thf(f13816,plain,
( ~ spl2_163
| spl2_308
| ~ spl2_99
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f13638,f6951,f2700,f11265,f5488]) ).
thf(f13883,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_255
| ~ spl2_300 ),
inference(constrained_superposition,[],[f10672,f8985]) ).
thf(f13886,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f407,f8985]) ).
thf(f13888,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f631,f8985]) ).
thf(f13934,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_255 ),
inference(duplicate_literal_removal,[],[f13888]) ).
thf(f13935,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_255
| ~ spl2_300 ),
inference(duplicate_literal_removal,[],[f13883]) ).
thf(f13937,plain,
( spl2_51
| spl2_53
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f13934,f8984,f982,f974]) ).
thf(f13938,plain,
( spl2_53
| ~ spl2_255
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f13935,f10671,f8984,f982]) ).
thf(f13939,plain,
( spl2_55
| spl2_51
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f13886,f8984,f974,f1002]) ).
thf(f13966,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_53 ),
inference(constrained_superposition,[],[f983,f108]) ).
thf(f13967,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_53 ),
inference(constrained_superposition,[],[f983,f50]) ).
thf(f13969,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_53 ),
inference(trivial_inequality_removal,[],[f13967]) ).
thf(f13970,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_53 ),
inference(trivial_inequality_removal,[],[f13966]) ).
thf(f13973,plain,
( $false
| ~ spl2_53
| spl2_245 ),
inference(forward_subsumption_resolution,[],[f13969,f9098]) ).
thf(f13974,plain,
( ~ spl2_53
| spl2_245 ),
inference(avatar_contradiction_clause,[],[f13973]) ).
thf(f13975,plain,
( spl2_31
| ~ spl2_53 ),
inference(avatar_split_clause,[],[f13970,f982,f612]) ).
thf(f14003,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f61,f1003]) ).
thf(f14007,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f337,f1003]) ).
thf(f14010,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f26,f1003]) ).
thf(f14013,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_55 ),
inference(duplicate_literal_removal,[],[f14010]) ).
thf(f14014,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f14013]) ).
thf(f14019,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_55 ),
inference(duplicate_literal_removal,[],[f14007]) ).
thf(f14020,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f14019]) ).
thf(f14022,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f14003]) ).
thf(f14026,plain,
( spl2_53
| spl2_46
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f14014,f1002,f859,f982]) ).
thf(f14028,plain,
( spl2_27
| spl2_27
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f14020,f1002,f598,f598]) ).
thf(f14029,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f14022,f49]) ).
thf(f14032,plain,
( $false
| spl2_44
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f14029,f2395]) ).
thf(f14033,plain,
( spl2_44
| ~ spl2_55 ),
inference(avatar_contradiction_clause,[],[f14032]) ).
thf(f14037,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f27,f7457]) ).
thf(f14039,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f14037]) ).
thf(f14041,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true ) )
| ~ spl2_312 ),
inference(constrained_superposition,[],[f27,f11387]) ).
thf(f14043,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f14041]) ).
thf(f14064,plain,
( $false
| ~ spl2_132
| spl2_231 ),
inference(forward_subsumption_resolution,[],[f8696,f3834]) ).
thf(f14065,plain,
( ~ spl2_132
| spl2_231 ),
inference(avatar_contradiction_clause,[],[f14064]) ).
thf(f14078,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| spl2_257 ),
inference(constrained_superposition,[],[f9005,f12258]) ).
thf(f14079,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_257 ),
inference(constrained_superposition,[],[f9005,f365]) ).
thf(f14082,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_257 ),
inference(trivial_inequality_removal,[],[f14079]) ).
thf(f14085,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| spl2_257 ),
inference(trivial_inequality_removal,[],[f14078]) ).
thf(f14088,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_231 ),
inference(constrained_superposition,[],[f8696,f109]) ).
thf(f14093,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_231 ),
inference(trivial_inequality_removal,[],[f14088]) ).
thf(f14098,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_231 ),
inference(forward_subsumption_resolution,[],[f14093,f40]) ).
thf(f14135,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_153
| spl2_231 ),
inference(constrained_superposition,[],[f4958,f14098]) ).
thf(f14138,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_153
| spl2_231 ),
inference(trivial_inequality_removal,[],[f14135]) ).
thf(f14144,plain,
( ~ spl2_298
| ~ spl2_153
| spl2_231 ),
inference(avatar_split_clause,[],[f14138,f7951,f4957,f10527]) ).
thf(f14223,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_212
| ~ spl2_259 ),
inference(constrained_superposition,[],[f9008,f7457]) ).
thf(f14237,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_212
| ~ spl2_259 ),
inference(trivial_inequality_removal,[],[f14223]) ).
thf(f14243,plain,
( $false
| ~ spl2_7
| ~ spl2_212
| ~ spl2_259 ),
inference(forward_subsumption_resolution,[],[f14237,f125]) ).
thf(f14244,plain,
( ~ spl2_7
| ~ spl2_212
| ~ spl2_259 ),
inference(avatar_contradiction_clause,[],[f14243]) ).
thf(f14247,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_305 ),
inference(constrained_superposition,[],[f11049,f6944]) ).
thf(f14264,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f14247]) ).
thf(f14269,plain,
( ~ spl2_264
| ~ spl2_194
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f14264,f11048,f6943,f9229]) ).
thf(f14270,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_264 ),
inference(constrained_superposition,[],[f9230,f109]) ).
thf(f14278,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_264 ),
inference(trivial_inequality_removal,[],[f14270]) ).
thf(f14282,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_264 ),
inference(forward_subsumption_resolution,[],[f14278,f40]) ).
thf(f14283,plain,
( spl2_324
| spl2_264 ),
inference(avatar_split_clause,[],[f14282,f9229,f12885]) ).
thf(f14286,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_12
| ~ spl2_324 ),
inference(constrained_superposition,[],[f176,f12886]) ).
thf(f14308,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_12
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f14286]) ).
thf(f14485,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_30
| ~ spl2_138 ),
inference(constrained_superposition,[],[f4529,f609]) ).
thf(f14499,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_30
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f14485]) ).
thf(f14516,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_30
| ~ spl2_31
| ~ spl2_138 ),
inference(constrained_superposition,[],[f14499,f613]) ).
thf(f14520,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_30
| ~ spl2_31
| ~ spl2_138 ),
inference(duplicate_literal_removal,[],[f14516]) ).
thf(f14521,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_30
| ~ spl2_31
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f14520]) ).
thf(f14526,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_30
| ~ spl2_31
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f14521,f125]) ).
thf(f14527,plain,
( spl2_102
| ~ spl2_7
| ~ spl2_30
| ~ spl2_31
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f14526,f4528,f612,f608,f124,f2792]) ).
thf(f14532,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f14039,f7457]) ).
thf(f14543,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_212 ),
inference(duplicate_literal_removal,[],[f14532]) ).
thf(f14544,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f14543]) ).
thf(f14550,definition,
( spl2_362
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_362])],[avatar_definition]) ).
thf(f14551,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_362 ),
inference(avatar_component_clause,[],[f14550]) ).
thf(f14560,plain,
( spl2_362
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f14544,f7456,f14550]) ).
thf(f14568,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_234
| ~ spl2_362 ),
inference(constrained_superposition,[],[f14551,f7962]) ).
thf(f14575,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f14568]) ).
thf(f14580,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_234
| ~ spl2_362 ),
inference(forward_subsumption_resolution,[],[f14575,f125]) ).
thf(f14581,plain,
( spl2_102
| ~ spl2_7
| ~ spl2_234
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f14580,f14550,f7961,f124,f2792]) ).
thf(f14582,plain,
( spl2_234
| ~ spl2_32
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f13489,f10671,f642,f7961]) ).
thf(f14613,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_163
| ~ spl2_337 ),
inference(constrained_superposition,[],[f5489,f12990]) ).
thf(f14621,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_163
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f14613]) ).
thf(f14628,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_163
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f14621,f40]) ).
thf(f14630,plain,
( spl2_205
| spl2_163
| ~ spl2_337 ),
inference(avatar_split_clause,[],[f14628,f12989,f5488,f7106]) ).
thf(f14819,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_204 ),
inference(avatar_component_clause,[],[f7103]) ).
thf(f14847,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| spl2_204 ),
inference(extensionality_resolution,[],[f12258,f14819]) ).
thf(f14848,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_4
| spl2_204 ),
inference(extensionality_resolution,[],[f12258,f14819]) ).
thf(f14851,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_204 ),
inference(extensionality_resolution,[],[f109,f14819]) ).
thf(f14853,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_204 ),
inference(extensionality_resolution,[],[f365,f14819]) ).
thf(f14871,definition,
( spl2_371
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_371])],[avatar_definition]) ).
thf(f14872,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_371 ),
inference(avatar_component_clause,[],[f14871]) ).
thf(f14874,definition,
( spl2_372
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_372])],[avatar_definition]) ).
thf(f14875,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_372 ),
inference(avatar_component_clause,[],[f14874]) ).
thf(f14876,plain,
( spl2_371
| spl2_372
| spl2_204 ),
inference(avatar_split_clause,[],[f14851,f7103,f14874,f14871]) ).
thf(f14912,definition,
( spl2_377
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_377])],[avatar_definition]) ).
thf(f14913,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_377 ),
inference(avatar_component_clause,[],[f14912]) ).
thf(f14959,definition,
( spl2_382
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_382])],[avatar_definition]) ).
thf(f14960,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_382 ),
inference(avatar_component_clause,[],[f14959]) ).
thf(f15156,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_226
| ~ spl2_372 ),
inference(constrained_superposition,[],[f7905,f14875]) ).
thf(f15161,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_226
| ~ spl2_372 ),
inference(trivial_inequality_removal,[],[f15156]) ).
thf(f15164,definition,
( spl2_387
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_387])],[avatar_definition]) ).
thf(f15165,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_387 ),
inference(avatar_component_clause,[],[f15164]) ).
thf(f15170,plain,
( ~ spl2_387
| ~ spl2_226
| ~ spl2_372 ),
inference(avatar_split_clause,[],[f15161,f14874,f7904,f15164]) ).
thf(f15171,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| spl2_387 ),
inference(constrained_superposition,[],[f15165,f109]) ).
thf(f15176,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_387 ),
inference(trivial_inequality_removal,[],[f15171]) ).
thf(f15181,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_387 ),
inference(forward_subsumption_resolution,[],[f15176,f40]) ).
thf(f15187,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| spl2_387 ),
inference(constrained_superposition,[],[f61,f15181]) ).
thf(f15190,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_387 ),
inference(constrained_superposition,[],[f313,f15181]) ).
thf(f15198,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_387 ),
inference(trivial_inequality_removal,[],[f15190]) ).
thf(f15203,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| spl2_387 ),
inference(trivial_inequality_removal,[],[f15187]) ).
thf(f15210,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| spl2_44
| spl2_387 ),
inference(forward_subsumption_resolution,[],[f15203,f2395]) ).
thf(f15212,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_44
| spl2_387 ),
inference(constrained_superposition,[],[f15210,f49]) ).
thf(f15215,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_44
| spl2_387 ),
inference(trivial_inequality_removal,[],[f15212]) ).
thf(f15248,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_198
| ~ spl2_253 ),
inference(constrained_superposition,[],[f6978,f8851]) ).
thf(f15257,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_253
| ~ spl2_280 ),
inference(constrained_superposition,[],[f9564,f8851]) ).
thf(f15258,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_226
| ~ spl2_253 ),
inference(constrained_superposition,[],[f7905,f8851]) ).
thf(f15262,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_226
| ~ spl2_253 ),
inference(trivial_inequality_removal,[],[f15258]) ).
thf(f15263,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_198
| ~ spl2_253 ),
inference(trivial_inequality_removal,[],[f15248]) ).
thf(f15272,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_253
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f15257]) ).
thf(f15273,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_226
| ~ spl2_253 ),
inference(forward_subsumption_resolution,[],[f15262,f40]) ).
thf(f15274,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_198
| spl2_204
| ~ spl2_253 ),
inference(forward_subsumption_resolution,[],[f15263,f14819]) ).
thf(f15276,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_253
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f15272,f40]) ).
thf(f15277,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_204
| ~ spl2_226
| ~ spl2_253 ),
inference(forward_subsumption_resolution,[],[f15273,f14819]) ).
thf(f15278,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_198
| spl2_204
| ~ spl2_253
| spl2_260 ),
inference(forward_subsumption_resolution,[],[f15274,f13338]) ).
thf(f15280,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_253
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f15276,f125]) ).
thf(f15281,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_204
| ~ spl2_226
| ~ spl2_253
| spl2_260 ),
inference(forward_subsumption_resolution,[],[f15277,f13338]) ).
thf(f15282,plain,
( $false
| spl2_198
| spl2_204
| ~ spl2_253
| spl2_260 ),
inference(forward_subsumption_resolution,[],[f15278,f40]) ).
thf(f15283,plain,
( spl2_198
| spl2_204
| ~ spl2_253
| spl2_260 ),
inference(avatar_contradiction_clause,[],[f15282]) ).
thf(f15285,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_7
| spl2_204
| ~ spl2_253
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f15280,f14819]) ).
thf(f15286,plain,
( $false
| ~ spl2_31
| spl2_204
| ~ spl2_226
| ~ spl2_253
| spl2_260 ),
inference(forward_subsumption_resolution,[],[f15281,f613]) ).
thf(f15287,plain,
( ~ spl2_31
| spl2_204
| ~ spl2_226
| ~ spl2_253
| spl2_260 ),
inference(avatar_contradiction_clause,[],[f15286]) ).
thf(f15290,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_7
| spl2_204
| ~ spl2_253
| spl2_260
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f15285,f13338]) ).
thf(f15291,plain,
( spl2_102
| ~ spl2_7
| spl2_204
| ~ spl2_253
| spl2_260
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f15290,f9563,f9092,f8850,f7103,f124,f2792]) ).
thf(f15366,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_119
| ~ spl2_382 ),
inference(constrained_superposition,[],[f3605,f14960]) ).
thf(f15372,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_119
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f15366]) ).
thf(f15379,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_119
| ~ spl2_377
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f15372,f14913]) ).
thf(f15412,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_371 ),
inference(constrained_superposition,[],[f140,f14872]) ).
thf(f15424,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f15412]) ).
thf(f15436,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_172
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f15424,f9588]) ).
thf(f15440,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_172
| ~ spl2_371 ),
inference(constrained_superposition,[],[f15436,f107]) ).
thf(f15445,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_172
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f15440]) ).
thf(f15446,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_119
| ~ spl2_377
| ~ spl2_382 ),
inference(constrained_superposition,[],[f15379,f14960]) ).
thf(f15456,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_119
| ~ spl2_377
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f15446]) ).
thf(f15463,plain,
( $false
| ~ spl2_119
| ~ spl2_252
| ~ spl2_377
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f15456,f8848]) ).
thf(f15464,plain,
( ~ spl2_119
| ~ spl2_252
| ~ spl2_377
| ~ spl2_382 ),
inference(avatar_contradiction_clause,[],[f15463]) ).
thf(f15471,plain,
( spl2_382
| spl2_172
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f15445,f14871,f5707,f14959]) ).
thf(f15689,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_226 ),
inference(constrained_superposition,[],[f7905,f169]) ).
thf(f15697,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_10
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f15689]) ).
thf(f15710,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_10
| ~ spl2_31
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f15697,f613]) ).
thf(f15713,plain,
( $false
| ~ spl2_10
| ~ spl2_31
| spl2_163
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f15710,f5489]) ).
thf(f15714,plain,
( ~ spl2_10
| ~ spl2_31
| spl2_163
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f15713]) ).
thf(f15723,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_198
| ~ spl2_285 ),
inference(constrained_superposition,[],[f6978,f10141]) ).
thf(f15736,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_226
| ~ spl2_285 ),
inference(constrained_superposition,[],[f7905,f10141]) ).
thf(f15750,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_198
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f15723]) ).
thf(f15751,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_226
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f15736]) ).
thf(f15756,plain,
( $false
| spl2_198
| spl2_260
| ~ spl2_285 ),
inference(forward_subsumption_resolution,[],[f15750,f13338]) ).
thf(f15757,plain,
( spl2_198
| spl2_260
| ~ spl2_285 ),
inference(avatar_contradiction_clause,[],[f15756]) ).
thf(f15758,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_226
| spl2_260
| ~ spl2_285 ),
inference(forward_subsumption_resolution,[],[f15751,f13338]) ).
thf(f15761,plain,
( $false
| ~ spl2_31
| ~ spl2_226
| spl2_260
| ~ spl2_285 ),
inference(forward_subsumption_resolution,[],[f15758,f613]) ).
thf(f15762,plain,
( ~ spl2_31
| ~ spl2_226
| spl2_260
| ~ spl2_285 ),
inference(avatar_contradiction_clause,[],[f15761]) ).
thf(f15793,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_38
| ~ spl2_74 ),
inference(constrained_superposition,[],[f2159,f717]) ).
thf(f15812,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_38
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f15793]) ).
thf(f15817,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_4
| ~ spl2_38
| ~ spl2_74 ),
inference(constrained_superposition,[],[f15812,f12258]) ).
thf(f15818,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_38
| ~ spl2_74 ),
inference(constrained_superposition,[],[f15812,f365]) ).
thf(f15820,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4
| ~ spl2_38
| ~ spl2_74 ),
inference(duplicate_literal_removal,[],[f15817]) ).
thf(f15821,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_4
| ~ spl2_38
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f15820]) ).
thf(f15822,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_38
| ~ spl2_74 ),
inference(duplicate_literal_removal,[],[f15818]) ).
thf(f15823,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_38
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f15822]) ).
thf(f15909,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_4
| ~ spl2_338 ),
inference(constrained_superposition,[],[f81,f12995]) ).
thf(f15927,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f15909]) ).
thf(f15940,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_4
| ~ spl2_338 ),
inference(forward_subsumption_resolution,[],[f15927,f49]) ).
thf(f15944,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_4
| spl2_245
| ~ spl2_338 ),
inference(forward_subsumption_resolution,[],[f15940,f9098]) ).
thf(f15949,plain,
( spl2_127
| ~ spl2_4
| spl2_245
| ~ spl2_338 ),
inference(avatar_split_clause,[],[f15944,f12994,f8818,f80,f3811]) ).
thf(f16245,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_63
| spl2_264 ),
inference(constrained_superposition,[],[f9230,f1204]) ).
thf(f16258,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_63
| spl2_264 ),
inference(trivial_inequality_removal,[],[f16245]) ).
thf(f16276,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_63
| spl2_234
| spl2_264 ),
inference(forward_subsumption_resolution,[],[f16258,f12883]) ).
thf(f16280,plain,
( spl2_214
| spl2_255
| ~ spl2_63
| spl2_234
| spl2_264 ),
inference(avatar_split_clause,[],[f16276,f9229,f7961,f1203,f8984,f7542]) ).
thf(f16451,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_205 ),
inference(avatar_component_clause,[],[f7106]) ).
thf(f16485,definition,
( spl2_406
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_406])],[avatar_definition]) ).
thf(f16486,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_406 ),
inference(avatar_component_clause,[],[f16485]) ).
thf(f16488,definition,
( spl2_407
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_407])],[avatar_definition]) ).
thf(f16489,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_407 ),
inference(avatar_component_clause,[],[f16488]) ).
thf(f16574,plain,
( spl2_377
| spl2_44
| spl2_387 ),
inference(avatar_split_clause,[],[f15215,f15164,f849,f14912]) ).
thf(f16575,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_44
| spl2_387 ),
inference(forward_subsumption_resolution,[],[f15198,f2395]) ).
thf(f16579,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_44
| spl2_387 ),
inference(forward_subsumption_resolution,[],[f16575,f40]) ).
thf(f16580,plain,
( spl2_377
| spl2_46
| spl2_44
| spl2_387 ),
inference(avatar_split_clause,[],[f16579,f15164,f849,f859,f14912]) ).
thf(f16605,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_377 ),
inference(avatar_component_clause,[],[f14912]) ).
thf(f16608,definition,
( spl2_411
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_411])],[avatar_definition]) ).
thf(f16609,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_411 ),
inference(avatar_component_clause,[],[f16608]) ).
thf(f16630,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_4
| ~ spl2_38
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f15821,f40]) ).
thf(f16631,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_12
| spl2_234
| ~ spl2_324 ),
inference(forward_subsumption_resolution,[],[f14308,f12883]) ).
thf(f16633,definition,
( spl2_414
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_414])],[avatar_definition]) ).
thf(f16634,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_414 ),
inference(avatar_component_clause,[],[f16633]) ).
thf(f16636,plain,
( ~ spl2_172
| ~ spl2_74
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f13641,f6951,f2158,f5707]) ).
thf(f16640,plain,
( spl2_252
| spl2_337
| ~ spl2_4
| ~ spl2_38
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f16630,f2158,f716,f80,f12989,f8847]) ).
thf(f16641,plain,
( ~ spl2_52
| ~ spl2_12
| spl2_234
| ~ spl2_324 ),
inference(avatar_split_clause,[],[f16631,f12885,f7961,f175,f977]) ).
thf(f16644,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_264 ),
inference(avatar_component_clause,[],[f9229]) ).
thf(f16695,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192
| ~ spl2_214 ),
inference(constrained_superposition,[],[f6937,f7543]) ).
thf(f16701,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_214
| spl2_234 ),
inference(constrained_superposition,[],[f12883,f7543]) ).
thf(f16721,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_214 ),
inference(constrained_superposition,[],[f407,f7543]) ).
thf(f16723,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_29
| ~ spl2_214 ),
inference(constrained_superposition,[],[f606,f7543]) ).
thf(f16724,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_214 ),
inference(constrained_superposition,[],[f631,f7543]) ).
thf(f16755,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74
| ~ spl2_214 ),
inference(constrained_superposition,[],[f9029,f7543]) ).
thf(f16765,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_214 ),
inference(duplicate_literal_removal,[],[f16724]) ).
thf(f16774,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f16755,f40]) ).
thf(f16775,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_55
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f16721,f3835]) ).
thf(f16778,plain,
( spl2_51
| spl2_53
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f16765,f7542,f982,f974]) ).
thf(f16779,plain,
( spl2_198
| ~ spl2_192
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f16695,f7542,f6936,f6977]) ).
thf(f16782,plain,
( $false
| ~ spl2_49
| ~ spl2_214
| spl2_234 ),
inference(forward_subsumption_resolution,[],[f16701,f990]) ).
thf(f16783,plain,
( ~ spl2_49
| ~ spl2_214
| spl2_234 ),
inference(avatar_contradiction_clause,[],[f16782]) ).
thf(f16785,plain,
( ~ spl2_52
| spl2_51
| ~ spl2_29
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f16723,f7542,f605,f974,f977]) ).
thf(f16786,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_55
| ~ spl2_74
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f16774,f3835]) ).
thf(f16787,plain,
( spl2_51
| spl2_55
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f16775,f7542,f1002,f974]) ).
thf(f16789,plain,
( ~ spl2_30
| spl2_55
| ~ spl2_74
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f16786,f7542,f2158,f1002,f608]) ).
thf(f16791,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_38
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f15823,f40]) ).
thf(f16794,plain,
( spl2_337
| spl2_7
| ~ spl2_38
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f16791,f2158,f716,f124,f12989]) ).
thf(f16825,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_30
| ~ spl2_119 ),
inference(constrained_superposition,[],[f3605,f609]) ).
thf(f16830,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_30
| ~ spl2_119 ),
inference(trivial_inequality_removal,[],[f16825]) ).
thf(f16858,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_172 ),
inference(constrained_superposition,[],[f9588,f365]) ).
thf(f16863,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_172 ),
inference(trivial_inequality_removal,[],[f16858]) ).
thf(f16873,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_196 ),
inference(constrained_superposition,[],[f9258,f109]) ).
thf(f16876,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_38
| spl2_196 ),
inference(constrained_superposition,[],[f9258,f717]) ).
thf(f16879,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_38
| spl2_196 ),
inference(trivial_inequality_removal,[],[f16876]) ).
thf(f16880,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_196 ),
inference(trivial_inequality_removal,[],[f16873]) ).
thf(f16885,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_196 ),
inference(forward_subsumption_resolution,[],[f16880,f40]) ).
thf(f16890,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_12
| spl2_196 ),
inference(constrained_superposition,[],[f176,f16885]) ).
thf(f16891,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| spl2_196 ),
inference(constrained_superposition,[],[f140,f16885]) ).
thf(f16896,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 ) )
| spl2_196 ),
inference(constrained_superposition,[],[f313,f16885]) ).
thf(f16902,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_196 ),
inference(trivial_inequality_removal,[],[f16891]) ).
thf(f16909,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| spl2_196 ),
inference(trivial_inequality_removal,[],[f16896]) ).
thf(f16912,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_12
| spl2_196 ),
inference(trivial_inequality_removal,[],[f16890]) ).
thf(f16916,plain,
( $false
| ~ spl2_96
| spl2_377 ),
inference(forward_subsumption_resolution,[],[f16605,f2614]) ).
thf(f16917,plain,
( ~ spl2_96
| spl2_377 ),
inference(avatar_contradiction_clause,[],[f16916]) ).
thf(f16927,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_159
| ~ spl2_221 ),
inference(constrained_superposition,[],[f5178,f7804]) ).
thf(f16934,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_159
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f16927]) ).
thf(f16951,plain,
( spl2_121
| ~ spl2_44
| ~ spl2_30
| ~ spl2_119 ),
inference(avatar_split_clause,[],[f16830,f3604,f608,f849,f3671]) ).
thf(f16952,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_38
| spl2_196 ),
inference(forward_subsumption_resolution,[],[f16879,f40]) ).
thf(f16953,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_159
| spl2_205
| ~ spl2_221 ),
inference(forward_subsumption_resolution,[],[f16934,f16451]) ).
thf(f16955,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_7
| spl2_172 ),
inference(forward_subsumption_resolution,[],[f16863,f231]) ).
thf(f16957,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| spl2_196 ),
inference(forward_subsumption_resolution,[],[f16909,f40]) ).
thf(f16959,definition,
( spl2_416
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_416])],[avatar_definition]) ).
thf(f16960,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_416 ),
inference(avatar_component_clause,[],[f16959]) ).
thf(f16963,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_38
| spl2_196
| spl2_205 ),
inference(forward_subsumption_resolution,[],[f16952,f16451]) ).
thf(f16964,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_159
| spl2_205
| ~ spl2_221 ),
inference(forward_subsumption_resolution,[],[f16953,f40]) ).
thf(f16966,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_7
| spl2_172 ),
inference(forward_subsumption_resolution,[],[f16955,f40]) ).
thf(f16967,plain,
( spl2_163
| spl2_44
| spl2_46
| spl2_196 ),
inference(avatar_split_clause,[],[f16957,f6951,f859,f849,f5488]) ).
thf(f16968,plain,
( spl2_163
| ~ spl2_38
| spl2_196
| spl2_205 ),
inference(avatar_split_clause,[],[f16963,f7106,f6951,f716,f5488]) ).
thf(f16969,plain,
( spl2_44
| ~ spl2_163
| ~ spl2_159
| spl2_205
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f16964,f7803,f7106,f5177,f5488,f849]) ).
thf(f16970,plain,
( spl2_163
| spl2_7
| spl2_172 ),
inference(avatar_split_clause,[],[f16966,f5707,f124,f5488]) ).
thf(f16979,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_192
| ~ spl2_234 ),
inference(constrained_superposition,[],[f11018,f7962]) ).
thf(f16983,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_192
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f16979]) ).
thf(f16985,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_192
| ~ spl2_198
| ~ spl2_234 ),
inference(forward_subsumption_resolution,[],[f16983,f7027]) ).
thf(f16986,plain,
( spl2_414
| ~ spl2_192
| ~ spl2_198
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f16985,f7961,f6977,f6936,f16633]) ).
thf(f17054,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_192
| ~ spl2_264 ),
inference(constrained_superposition,[],[f11018,f16644]) ).
thf(f17055,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_121
| ~ spl2_264 ),
inference(constrained_superposition,[],[f3672,f16644]) ).
thf(f17058,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_192
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f17054]) ).
thf(f17061,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_121
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f17055]) ).
thf(f17064,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_190
| ~ spl2_192
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f17058,f6929]) ).
thf(f17066,plain,
( $false
| ~ spl2_121
| ~ spl2_264
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f17061,f11387]) ).
thf(f17067,plain,
( ~ spl2_121
| ~ spl2_264
| ~ spl2_312 ),
inference(avatar_contradiction_clause,[],[f17066]) ).
thf(f17069,plain,
( spl2_305
| ~ spl2_190
| ~ spl2_192
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f17064,f9229,f6936,f6928,f11048]) ).
thf(f17111,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_194
| ~ spl2_312 ),
inference(constrained_superposition,[],[f14043,f6944]) ).
thf(f17112,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_194
| ~ spl2_362 ),
inference(constrained_superposition,[],[f14551,f6944]) ).
thf(f17115,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_194
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f17111]) ).
thf(f17118,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_194
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f17112]) ).
thf(f17120,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_163
| ~ spl2_194
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f17115,f6926]) ).
thf(f17121,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_163
| ~ spl2_194
| ~ spl2_362 ),
inference(forward_subsumption_resolution,[],[f17118,f6926]) ).
thf(f17122,plain,
( spl2_219
| ~ spl2_163
| ~ spl2_194
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f17120,f11386,f6943,f5488,f7770]) ).
thf(f17123,plain,
( spl2_308
| ~ spl2_163
| ~ spl2_194
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f17121,f14550,f6943,f5488,f11265]) ).
thf(f17144,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_191 ),
inference(constrained_superposition,[],[f140,f6933]) ).
thf(f17145,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(constrained_superposition,[],[f81,f6933]) ).
thf(f17156,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f17144]) ).
thf(f17159,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f17145]) ).
thf(f17195,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_264
| ~ spl2_362 ),
inference(constrained_superposition,[],[f14551,f16644]) ).
thf(f17200,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_264
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f17195]) ).
thf(f17203,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_44
| ~ spl2_264
| ~ spl2_362 ),
inference(forward_subsumption_resolution,[],[f17200,f850]) ).
thf(f17204,plain,
( spl2_121
| ~ spl2_44
| ~ spl2_264
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f17203,f14550,f9229,f849,f3671]) ).
thf(f17206,plain,
( ~ spl2_233
| spl2_31
| ~ spl2_12
| spl2_196 ),
inference(avatar_split_clause,[],[f16912,f6951,f175,f612,f7958]) ).
thf(f17209,plain,
( ~ spl2_233
| spl2_30
| spl2_196 ),
inference(avatar_split_clause,[],[f16902,f6951,f608,f7958]) ).
thf(f17210,plain,
( ~ spl2_52
| spl2_172
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f17156,f6932,f5707,f977]) ).
thf(f17213,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| spl2_257 ),
inference(forward_subsumption_resolution,[],[f14085,f40]) ).
thf(f17215,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_257 ),
inference(forward_subsumption_resolution,[],[f14082,f40]) ).
thf(f17216,plain,
( spl2_252
| spl2_212
| ~ spl2_4
| spl2_257 ),
inference(avatar_split_clause,[],[f17213,f8991,f80,f7456,f8847]) ).
thf(f17217,plain,
( spl2_7
| spl2_212
| spl2_257 ),
inference(avatar_split_clause,[],[f17215,f8991,f7456,f124]) ).
thf(f17220,plain,
( spl2_260
| ~ spl2_75
| ~ spl2_4
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f17159,f6932,f80,f2319,f9092]) ).
thf(f17381,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_198
| ~ spl2_289 ),
inference(constrained_superposition,[],[f10287,f7027]) ).
thf(f17384,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_198
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f17381]) ).
thf(f17391,plain,
( $false
| ~ spl2_7
| ~ spl2_198
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f17384,f125]) ).
thf(f17392,plain,
( ~ spl2_7
| ~ spl2_198
| ~ spl2_289 ),
inference(avatar_contradiction_clause,[],[f17391]) ).
thf(f17398,plain,
( spl2_312
| spl2_264
| spl2_44
| ~ spl2_4
| spl2_204 ),
inference(avatar_split_clause,[],[f14848,f7103,f80,f849,f9229,f11386]) ).
thf(f17425,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_127
| spl2_212 ),
inference(constrained_superposition,[],[f7772,f3812]) ).
thf(f17430,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_127
| spl2_212 ),
inference(trivial_inequality_removal,[],[f17425]) ).
thf(f17431,plain,
( $false
| ~ spl2_127
| spl2_212 ),
inference(forward_subsumption_resolution,[],[f17430,f40]) ).
thf(f17432,plain,
( ~ spl2_127
| spl2_212 ),
inference(avatar_contradiction_clause,[],[f17431]) ).
thf(f17552,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_198 ),
inference(constrained_superposition,[],[f278,f7027]) ).
thf(f17553,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_234 ),
inference(constrained_superposition,[],[f278,f7962]) ).
thf(f17564,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f17552]) ).
thf(f17565,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f17553]) ).
thf(f17571,plain,
( $false
| ~ spl2_20
| ~ spl2_172
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f17564,f5708]) ).
thf(f17572,plain,
( ~ spl2_20
| ~ spl2_172
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f17571]) ).
thf(f17573,plain,
( $false
| ~ spl2_20
| ~ spl2_234
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f17565,f8992]) ).
thf(f17574,plain,
( ~ spl2_20
| ~ spl2_234
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f17573]) ).
thf(f17602,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_231 ),
inference(constrained_superposition,[],[f8696,f109]) ).
thf(f17611,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_231 ),
inference(trivial_inequality_removal,[],[f17602]) ).
thf(f17614,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_231 ),
inference(forward_subsumption_resolution,[],[f17611,f40]) ).
thf(f17630,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| spl2_231 ),
inference(constrained_superposition,[],[f81,f17614]) ).
thf(f17648,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| spl2_231 ),
inference(trivial_inequality_removal,[],[f17630]) ).
thf(f17718,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_414 ),
inference(constrained_superposition,[],[f16634,f6944]) ).
thf(f17729,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_194
| ~ spl2_414 ),
inference(trivial_inequality_removal,[],[f17718]) ).
thf(f17744,plain,
( ~ spl2_234
| ~ spl2_194
| ~ spl2_414 ),
inference(avatar_split_clause,[],[f17729,f16633,f6943,f7961]) ).
thf(f17760,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_4
| spl2_234 ),
inference(constrained_superposition,[],[f12883,f12258]) ).
thf(f17761,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_234 ),
inference(constrained_superposition,[],[f12883,f365]) ).
thf(f17764,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_4
| spl2_234 ),
inference(trivial_inequality_removal,[],[f17760]) ).
thf(f17765,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_234 ),
inference(trivial_inequality_removal,[],[f17761]) ).
thf(f17768,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_4
| spl2_234 ),
inference(forward_subsumption_resolution,[],[f17764,f40]) ).
thf(f17769,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_212
| spl2_234 ),
inference(forward_subsumption_resolution,[],[f17765,f7772]) ).
thf(f17772,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_4
| spl2_7
| spl2_234 ),
inference(forward_subsumption_resolution,[],[f17768,f231]) ).
thf(f17773,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_7
| spl2_212
| spl2_234 ),
inference(forward_subsumption_resolution,[],[f17769,f231]) ).
thf(f17774,plain,
( spl2_312
| ~ spl2_4
| spl2_7
| spl2_234 ),
inference(avatar_split_clause,[],[f17772,f7961,f124,f80,f11386]) ).
thf(f17775,plain,
( $false
| spl2_7
| spl2_212
| spl2_234 ),
inference(forward_subsumption_resolution,[],[f17773,f40]) ).
thf(f17776,plain,
( spl2_7
| spl2_212
| spl2_234 ),
inference(avatar_contradiction_clause,[],[f17775]) ).
thf(f17782,plain,
( spl2_245
| ~ spl2_416
| ~ spl2_4
| spl2_231 ),
inference(avatar_split_clause,[],[f17648,f7951,f80,f16959,f8818]) ).
thf(f17865,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_416 ),
inference(constrained_superposition,[],[f16960,f49]) ).
thf(f17867,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_416 ),
inference(trivial_inequality_removal,[],[f17865]) ).
thf(f17902,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_324 ),
inference(constrained_superposition,[],[f140,f12886]) ).
thf(f17904,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_324 ),
inference(constrained_superposition,[],[f61,f12886]) ).
thf(f17917,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f17902]) ).
thf(f17922,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f17904]) ).
thf(f17952,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_196
| ~ spl2_308 ),
inference(constrained_superposition,[],[f11266,f6952]) ).
thf(f17963,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_196
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f17952]) ).
thf(f17971,plain,
( $false
| ~ spl2_196
| ~ spl2_245
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f17963,f8819]) ).
thf(f17972,plain,
( ~ spl2_196
| ~ spl2_245
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f17971]) ).
thf(f17975,plain,
( spl2_212
| ~ spl2_75
| ~ spl2_324 ),
inference(avatar_split_clause,[],[f17922,f12885,f2319,f7456]) ).
thf(f17976,plain,
( ~ spl2_52
| spl2_257
| ~ spl2_324 ),
inference(avatar_split_clause,[],[f17917,f12885,f8991,f977]) ).
thf(f17980,plain,
( spl2_212
| spl2_416 ),
inference(avatar_split_clause,[],[f17867,f16959,f7456]) ).
thf(f18093,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| spl2_196 ),
inference(constrained_superposition,[],[f9258,f12258]) ).
thf(f18099,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| spl2_196 ),
inference(trivial_inequality_removal,[],[f18093]) ).
thf(f18105,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_127
| spl2_163 ),
inference(constrained_superposition,[],[f5489,f3812]) ).
thf(f18108,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_127
| spl2_163 ),
inference(trivial_inequality_removal,[],[f18105]) ).
thf(f18109,plain,
( $false
| ~ spl2_127
| spl2_163 ),
inference(forward_subsumption_resolution,[],[f18108,f40]) ).
thf(f18110,plain,
( ~ spl2_127
| spl2_163 ),
inference(avatar_contradiction_clause,[],[f18109]) ).
thf(f18285,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_371 ),
inference(constrained_superposition,[],[f631,f14872]) ).
thf(f18288,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_371 ),
inference(constrained_superposition,[],[f81,f14872]) ).
thf(f18292,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_371 ),
inference(constrained_superposition,[],[f313,f14872]) ).
thf(f18298,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f18292]) ).
thf(f18300,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f18288]) ).
thf(f18310,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f18285]) ).
thf(f18311,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_4
| spl2_260
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f18300,f13338]) ).
thf(f18315,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_196
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f18310,f9258]) ).
thf(f18316,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| spl2_260
| ~ spl2_371 ),
inference(constrained_superposition,[],[f18311,f49]) ).
thf(f18319,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_4
| spl2_260
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f18316]) ).
thf(f18320,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_196
| ~ spl2_371 ),
inference(constrained_superposition,[],[f18315,f407]) ).
thf(f18325,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_196
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f18320]) ).
thf(f18326,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_387 ),
inference(avatar_component_clause,[],[f15164]) ).
thf(f18329,plain,
( spl2_387
| spl2_196
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f18325,f14871,f6951,f15164]) ).
thf(f18331,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_387 ),
inference(constrained_superposition,[],[f2159,f18326]) ).
thf(f18335,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f18331]) ).
thf(f18341,definition,
( spl2_419
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_419])],[avatar_definition]) ).
thf(f18342,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_419 ),
inference(avatar_component_clause,[],[f18341]) ).
thf(f18343,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_382 ),
inference(avatar_component_clause,[],[f14959]) ).
thf(f18346,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f18298,f40]) ).
thf(f18348,plain,
( spl2_377
| ~ spl2_4
| spl2_260
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f18319,f14871,f9092,f80,f14912]) ).
thf(f18349,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| spl2_163
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f18346,f5489]) ).
thf(f18350,plain,
( spl2_377
| spl2_203
| spl2_163
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f18349,f14871,f5488,f7091,f14912]) ).
thf(f18365,plain,
( ~ spl2_382
| ~ spl2_74
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f18335,f15164,f2158,f14959]) ).
thf(f18367,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_382 ),
inference(constrained_superposition,[],[f18343,f365]) ).
thf(f18370,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_382 ),
inference(trivial_inequality_removal,[],[f18367]) ).
thf(f18374,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_7
| spl2_382 ),
inference(forward_subsumption_resolution,[],[f18370,f231]) ).
thf(f18378,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_7
| spl2_377
| spl2_382 ),
inference(forward_subsumption_resolution,[],[f18374,f16605]) ).
thf(f18380,plain,
( $false
| spl2_7
| spl2_377
| spl2_382 ),
inference(forward_subsumption_resolution,[],[f18378,f40]) ).
thf(f18381,plain,
( spl2_7
| spl2_377
| spl2_382 ),
inference(avatar_contradiction_clause,[],[f18380]) ).
thf(f18402,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_387 ),
inference(constrained_superposition,[],[f15165,f109]) ).
thf(f18410,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_387 ),
inference(trivial_inequality_removal,[],[f18402]) ).
thf(f18413,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_387 ),
inference(forward_subsumption_resolution,[],[f18410,f40]) ).
thf(f18452,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_201 ),
inference(constrained_superposition,[],[f7025,f50]) ).
thf(f18453,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f18452]) ).
thf(f18505,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_209
| ~ spl2_324 ),
inference(constrained_superposition,[],[f7445,f12886]) ).
thf(f18511,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_209
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f18505]) ).
thf(f18513,plain,
( $false
| ~ spl2_191
| ~ spl2_209
| ~ spl2_324 ),
inference(forward_subsumption_resolution,[],[f18511,f6933]) ).
thf(f18514,plain,
( ~ spl2_191
| ~ spl2_209
| ~ spl2_324 ),
inference(avatar_contradiction_clause,[],[f18513]) ).
thf(f18548,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_372 ),
inference(constrained_superposition,[],[f281,f14875]) ).
thf(f18571,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_372 ),
inference(trivial_inequality_removal,[],[f18548]) ).
thf(f18577,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| spl2_163
| ~ spl2_372 ),
inference(forward_subsumption_resolution,[],[f18571,f5489]) ).
thf(f18583,plain,
( ~ spl2_382
| ~ spl2_21
| spl2_163
| ~ spl2_372 ),
inference(avatar_split_clause,[],[f18577,f14874,f5488,f280,f14959]) ).
thf(f18713,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_387 ),
inference(constrained_superposition,[],[f140,f18413]) ).
thf(f18733,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_387 ),
inference(trivial_inequality_removal,[],[f18713]) ).
thf(f18773,definition,
( spl2_422
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_422])],[avatar_definition]) ).
thf(f18774,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_422 ),
inference(avatar_component_clause,[],[f18773]) ).
thf(f18775,plain,
( ~ spl2_422
| spl2_30
| spl2_387 ),
inference(avatar_split_clause,[],[f18733,f15164,f608,f18773]) ).
thf(f18783,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| spl2_34
| spl2_196 ),
inference(forward_subsumption_resolution,[],[f18099,f6893]) ).
thf(f18785,plain,
( spl2_260
| ~ spl2_243
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f18453,f7024,f8810,f9092]) ).
thf(f18786,plain,
( spl2_245
| spl2_163
| ~ spl2_4
| spl2_34
| spl2_196 ),
inference(avatar_split_clause,[],[f18783,f6951,f657,f80,f5488,f8818]) ).
thf(f18810,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_196
| ~ spl2_205 ),
inference(constrained_superposition,[],[f9258,f7107]) ).
thf(f18812,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_190
| ~ spl2_205 ),
inference(constrained_superposition,[],[f11328,f7107]) ).
thf(f18825,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_205 ),
inference(constrained_superposition,[],[f407,f7107]) ).
thf(f18827,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_29
| ~ spl2_205 ),
inference(constrained_superposition,[],[f606,f7107]) ).
thf(f18828,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_205 ),
inference(constrained_superposition,[],[f631,f7107]) ).
thf(f18881,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_205 ),
inference(duplicate_literal_removal,[],[f18828]) ).
thf(f18885,plain,
( spl2_51
| ~ spl2_52
| ~ spl2_29
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f18827,f7106,f605,f977,f974]) ).
thf(f18886,plain,
( ~ spl2_51
| spl2_190
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f18812,f7106,f6928,f974]) ).
thf(f18897,plain,
( ~ spl2_51
| spl2_196
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f18810,f7106,f6951,f974]) ).
thf(f18899,plain,
( spl2_53
| spl2_51
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f18881,f7106,f974,f982]) ).
thf(f18903,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_55
| ~ spl2_205 ),
inference(forward_subsumption_resolution,[],[f18825,f3835]) ).
thf(f18908,plain,
( spl2_51
| spl2_55
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f18903,f7106,f1002,f974]) ).
thf(f18951,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_52 ),
inference(constrained_superposition,[],[f81,f4571]) ).
thf(f18954,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_52 ),
inference(constrained_superposition,[],[f313,f4571]) ).
thf(f18961,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f18954]) ).
thf(f18962,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f18951]) ).
thf(f18980,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_51
| ~ spl2_68 ),
inference(constrained_superposition,[],[f1584,f975]) ).
thf(f18982,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_51
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f18980]) ).
thf(f18989,plain,
( $false
| ~ spl2_31
| ~ spl2_51
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f18982,f613]) ).
thf(f18990,plain,
( ~ spl2_31
| ~ spl2_51
| ~ spl2_68 ),
inference(avatar_contradiction_clause,[],[f18989]) ).
thf(f19043,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_264
| ~ spl2_313 ),
inference(constrained_superposition,[],[f11510,f16644]) ).
thf(f19047,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_68
| ~ spl2_264 ),
inference(constrained_superposition,[],[f1584,f16644]) ).
thf(f19050,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_264
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f19043]) ).
thf(f19054,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_68
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f19047]) ).
thf(f19057,plain,
( $false
| ~ spl2_68
| ~ spl2_234
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f19054,f7962]) ).
thf(f19058,plain,
( ~ spl2_68
| ~ spl2_234
| ~ spl2_264 ),
inference(avatar_contradiction_clause,[],[f19057]) ).
thf(f19059,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) )
| ~ spl2_52 ),
inference(forward_subsumption_resolution,[],[f18961,f40]) ).
thf(f19062,plain,
( spl2_260
| spl2_190
| spl2_44
| ~ spl2_4
| spl2_34 ),
inference(avatar_split_clause,[],[f12325,f657,f80,f849,f6928,f9092]) ).
thf(f19064,plain,
( spl2_312
| ~ spl2_30
| ~ spl2_264
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f19050,f11509,f9229,f608,f11386]) ).
thf(f19066,plain,
( ~ spl2_75
| spl2_252
| ~ spl2_4
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f18962,f977,f80,f8847,f2319]) ).
thf(f19067,plain,
( spl2_11
| spl2_7
| spl2_44
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f19059,f977,f849,f124,f172]) ).
thf(f19150,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_102
| ~ spl2_234 ),
inference(constrained_superposition,[],[f2793,f7962]) ).
thf(f19160,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_102
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f19150]) ).
thf(f19167,plain,
( $false
| ~ spl2_102
| ~ spl2_234
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f19160,f11387]) ).
thf(f19168,plain,
( ~ spl2_102
| ~ spl2_234
| ~ spl2_312 ),
inference(avatar_contradiction_clause,[],[f19167]) ).
thf(f19270,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_422 ),
inference(constrained_superposition,[],[f18774,f107]) ).
thf(f19271,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_422 ),
inference(constrained_superposition,[],[f18774,f51]) ).
thf(f19273,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_422 ),
inference(trivial_inequality_removal,[],[f19270]) ).
thf(f19275,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_422 ),
inference(trivial_inequality_removal,[],[f19271]) ).
thf(f19276,plain,
( $false
| spl2_382
| spl2_422 ),
inference(forward_subsumption_resolution,[],[f19273,f18343]) ).
thf(f19277,plain,
( spl2_382
| spl2_422 ),
inference(avatar_contradiction_clause,[],[f19276]) ).
thf(f19279,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| spl2_382
| spl2_422 ),
inference(forward_subsumption_resolution,[],[f19275,f18343]) ).
thf(f19281,plain,
( $false
| spl2_382
| spl2_422 ),
inference(forward_subsumption_resolution,[],[f19279,f40]) ).
thf(f19282,plain,
( spl2_382
| spl2_422 ),
inference(avatar_contradiction_clause,[],[f19281]) ).
thf(f19300,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_193 ),
inference(constrained_superposition,[],[f176,f6940]) ).
thf(f19311,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_193 ),
inference(constrained_superposition,[],[f26,f6940]) ).
thf(f19313,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_12
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f19300]) ).
thf(f19319,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f19311]) ).
thf(f19326,plain,
( spl2_210
| spl2_209
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f19319,f6939,f7444,f7447]) ).
thf(f19327,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_195 ),
inference(constrained_superposition,[],[f631,f6947]) ).
thf(f19329,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_195 ),
inference(constrained_superposition,[],[f140,f6947]) ).
thf(f19346,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f19329]) ).
thf(f19352,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f19327]) ).
thf(f19422,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_289
| ~ spl2_372 ),
inference(constrained_superposition,[],[f10287,f14875]) ).
thf(f19428,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_289
| ~ spl2_372 ),
inference(trivial_inequality_removal,[],[f19422]) ).
thf(f19430,plain,
( $false
| ~ spl2_289
| ~ spl2_372
| ~ spl2_377 ),
inference(forward_subsumption_resolution,[],[f19428,f14913]) ).
thf(f19431,plain,
( ~ spl2_289
| ~ spl2_372
| ~ spl2_377 ),
inference(avatar_contradiction_clause,[],[f19430]) ).
thf(f19478,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_198
| ~ spl2_226 ),
inference(constrained_superposition,[],[f7905,f7027]) ).
thf(f19479,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_226
| ~ spl2_260 ),
inference(constrained_superposition,[],[f7905,f9093]) ).
thf(f19482,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_198
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f19478]) ).
thf(f19487,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_226
| ~ spl2_260 ),
inference(trivial_inequality_removal,[],[f19479]) ).
thf(f19490,plain,
( $false
| ~ spl2_31
| ~ spl2_198
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f19482,f613]) ).
thf(f19491,plain,
( ~ spl2_31
| ~ spl2_198
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f19490]) ).
thf(f19493,plain,
( $false
| ~ spl2_226
| ~ spl2_245
| ~ spl2_260 ),
inference(forward_subsumption_resolution,[],[f19487,f8819]) ).
thf(f19494,plain,
( ~ spl2_226
| ~ spl2_245
| ~ spl2_260 ),
inference(avatar_contradiction_clause,[],[f19493]) ).
thf(f19496,plain,
( ~ spl2_233
| spl2_257
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f19346,f6946,f8991,f7958]) ).
thf(f19497,plain,
( ~ spl2_232
| spl2_231
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f19352,f6946,f7951,f7954]) ).
thf(f19622,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_231
| ~ spl2_286 ),
inference(constrained_superposition,[],[f10171,f7952]) ).
thf(f19625,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_231
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f19622]) ).
thf(f19632,plain,
( ~ spl2_245
| ~ spl2_231
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f19625,f10170,f7951,f8818]) ).
thf(f19739,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_209 ),
inference(constrained_superposition,[],[f7445,f108]) ).
thf(f19741,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f19739]) ).
thf(f19770,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_362
| ~ spl2_406 ),
inference(constrained_superposition,[],[f14551,f16486]) ).
thf(f19775,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_362
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f19770]) ).
thf(f19783,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_362
| ~ spl2_377
| ~ spl2_406 ),
inference(forward_subsumption_resolution,[],[f19775,f14913]) ).
thf(f19784,plain,
( spl2_411
| ~ spl2_362
| ~ spl2_377
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f19783,f16485,f14912,f14550,f16608]) ).
thf(f19786,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_209
| ~ spl2_407 ),
inference(constrained_superposition,[],[f7445,f16489]) ).
thf(f19789,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_407 ),
inference(constrained_superposition,[],[f140,f16489]) ).
thf(f19808,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_209
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f19786]) ).
thf(f19810,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f19789]) ).
thf(f19815,plain,
( $false
| ~ spl2_209
| ~ spl2_371
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f19808,f14872]) ).
thf(f19816,plain,
( ~ spl2_209
| ~ spl2_371
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f19815]) ).
thf(f19818,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_257
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f19810,f9005]) ).
thf(f19821,plain,
( ~ spl2_422
| spl2_257
| ~ spl2_407 ),
inference(avatar_split_clause,[],[f19818,f16488,f8991,f18773]) ).
thf(f19847,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_406
| ~ spl2_411 ),
inference(constrained_superposition,[],[f16609,f16486]) ).
thf(f19849,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_406
| ~ spl2_411 ),
inference(trivial_inequality_removal,[],[f19847]) ).
thf(f19854,plain,
( $false
| ~ spl2_312
| ~ spl2_406
| ~ spl2_411 ),
inference(forward_subsumption_resolution,[],[f19849,f11387]) ).
thf(f19855,plain,
( ~ spl2_312
| ~ spl2_406
| ~ spl2_411 ),
inference(avatar_contradiction_clause,[],[f19854]) ).
thf(f19858,definition,
( spl2_426
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_426])],[avatar_definition]) ).
thf(f19859,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_426 ),
inference(avatar_component_clause,[],[f19858]) ).
thf(f19883,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_21
| ~ spl2_245 ),
inference(constrained_superposition,[],[f281,f8819]) ).
thf(f19885,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_21
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f19883]) ).
thf(f19888,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_21
| ~ spl2_245
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f19885,f8848]) ).
thf(f19890,plain,
( $false
| ~ spl2_21
| spl2_44
| ~ spl2_245
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f19888,f2395]) ).
thf(f19891,plain,
( ~ spl2_21
| spl2_44
| ~ spl2_245
| ~ spl2_252 ),
inference(avatar_contradiction_clause,[],[f19890]) ).
thf(f19896,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ~ spl2_4
| spl2_31 ),
inference(constrained_superposition,[],[f1187,f12258]) ).
thf(f19897,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_31 ),
inference(constrained_superposition,[],[f1187,f365]) ).
thf(f19899,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| spl2_31 ),
inference(constrained_superposition,[],[f1187,f435]) ).
thf(f19900,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_31 ),
inference(trivial_inequality_removal,[],[f19897]) ).
thf(f19902,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| spl2_31 ),
inference(trivial_inequality_removal,[],[f19899]) ).
thf(f19903,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_4
| spl2_31 ),
inference(trivial_inequality_removal,[],[f19896]) ).
thf(f19905,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_31
| spl2_34 ),
inference(forward_subsumption_resolution,[],[f19902,f6893]) ).
thf(f19906,plain,
( spl2_35
| spl2_24
| spl2_31
| spl2_34 ),
inference(avatar_split_clause,[],[f19905,f657,f612,f440,f683]) ).
thf(f19909,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_426 ),
inference(constrained_superposition,[],[f19859,f50]) ).
thf(f19911,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_426 ),
inference(trivial_inequality_removal,[],[f19909]) ).
thf(f19913,plain,
( spl2_260
| spl2_426 ),
inference(avatar_split_clause,[],[f19911,f19858,f9092]) ).
thf(f19915,plain,
( ~ spl2_237
| spl2_234
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f19741,f7444,f7961,f8211]) ).
thf(f19918,plain,
( ~ spl2_298
| spl2_198
| ~ spl2_12
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f19313,f6939,f175,f6977,f10527]) ).
thf(f19946,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_52 ),
inference(constrained_superposition,[],[f26,f4571]) ).
thf(f19955,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f19946]) ).
thf(f19957,plain,
( spl2_153
| spl2_46
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f19955,f977,f859,f4957]) ).
thf(f20008,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_234 ),
inference(constrained_superposition,[],[f27,f7962]) ).
thf(f20009,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f20008]) ).
thf(f20023,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_298 ),
inference(constrained_superposition,[],[f10528,f25]) ).
thf(f20026,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_298 ),
inference(trivial_inequality_removal,[],[f20023]) ).
thf(f20028,plain,
( spl2_214
| spl2_257
| spl2_298 ),
inference(avatar_split_clause,[],[f20026,f10527,f8991,f7542]) ).
thf(f20029,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_257
| ~ spl2_286 ),
inference(constrained_superposition,[],[f10171,f8992]) ).
thf(f20031,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_257
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f20029]) ).
thf(f20033,plain,
( $false
| ~ spl2_252
| ~ spl2_257
| ~ spl2_286 ),
inference(forward_subsumption_resolution,[],[f20031,f8848]) ).
thf(f20034,plain,
( ~ spl2_252
| ~ spl2_257
| ~ spl2_286 ),
inference(avatar_contradiction_clause,[],[f20033]) ).
thf(f20035,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_44
| spl2_204 ),
inference(forward_subsumption_resolution,[],[f14853,f2395]) ).
thf(f20036,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_4
| spl2_204
| spl2_245 ),
inference(forward_subsumption_resolution,[],[f14847,f9098]) ).
thf(f20037,plain,
( spl2_231
| spl2_212
| spl2_44
| spl2_204 ),
inference(avatar_split_clause,[],[f20035,f7103,f849,f7456,f7951]) ).
thf(f20038,plain,
( spl2_212
| spl2_231
| ~ spl2_4
| spl2_204
| spl2_245 ),
inference(avatar_split_clause,[],[f20036,f8818,f7103,f80,f7951,f7456]) ).
thf(f20175,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_190
| ~ spl2_226 ),
inference(constrained_superposition,[],[f7905,f6929]) ).
thf(f20183,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_190
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f20175]) ).
thf(f20564,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_234
| ~ spl2_406 ),
inference(constrained_superposition,[],[f20009,f16486]) ).
thf(f20575,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_234
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f20564]) ).
thf(f20579,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_382
| ~ spl2_406 ),
inference(forward_subsumption_resolution,[],[f20575,f14960]) ).
thf(f20586,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_234
| ~ spl2_382
| ~ spl2_406 ),
inference(constrained_superposition,[],[f20579,f14960]) ).
thf(f20600,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_382
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f20586]) ).
thf(f20610,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_234
| ~ spl2_257
| ~ spl2_382
| ~ spl2_406 ),
inference(forward_subsumption_resolution,[],[f20600,f8992]) ).
thf(f20616,plain,
( spl2_20
| ~ spl2_234
| ~ spl2_257
| ~ spl2_382
| ~ spl2_406 ),
inference(avatar_split_clause,[],[f20610,f16485,f14959,f8991,f7961,f277]) ).
thf(f20618,plain,
( ~ spl2_51
| ~ spl2_190
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f20183,f7904,f6928,f974]) ).
thf(f20620,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_31 ),
inference(forward_subsumption_resolution,[],[f19900,f40]) ).
thf(f20634,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_4
| spl2_31 ),
inference(forward_subsumption_resolution,[],[f19903,f40]) ).
thf(f20638,plain,
( spl2_44
| spl2_7
| spl2_31 ),
inference(avatar_split_clause,[],[f20620,f612,f124,f849]) ).
thf(f20639,plain,
( spl2_245
| spl2_7
| ~ spl2_4
| spl2_31 ),
inference(avatar_split_clause,[],[f20634,f612,f80,f124,f8818]) ).
thf(f20681,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| spl2_205 ),
inference(extensionality_resolution,[],[f12258,f16451]) ).
thf(f20682,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_4
| spl2_205 ),
inference(extensionality_resolution,[],[f12258,f16451]) ).
thf(f20684,plain,
( ( ( b @ sK1 @ ( 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_4
| spl2_205 ),
inference(extensionality_resolution,[],[f9139,f16451]) ).
thf(f20685,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_205 ),
inference(extensionality_resolution,[],[f109,f16451]) ).
thf(f20687,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_205 ),
inference(extensionality_resolution,[],[f365,f16451]) ).
thf(f20688,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f365,f16451]) ).
thf(f20692,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f55,f16451]) ).
thf(f20693,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f51,f16451]) ).
thf(f20694,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f51,f16451]) ).
thf(f20696,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_205 ),
inference(extensionality_resolution,[],[f25,f16451]) ).
thf(f20698,plain,
( spl2_406
| spl2_407
| spl2_205 ),
inference(avatar_split_clause,[],[f20685,f7106,f16488,f16485]) ).
thf(f20699,plain,
( spl2_212
| spl2_192
| spl2_260
| ~ spl2_4
| spl2_205 ),
inference(avatar_split_clause,[],[f20681,f7106,f80,f9092,f6936,f7456]) ).
thf(f20701,plain,
( spl2_194
| spl2_195
| spl2_205 ),
inference(avatar_split_clause,[],[f20694,f7106,f6946,f6943]) ).
thf(f20702,plain,
( spl2_191
| spl2_190
| spl2_205 ),
inference(avatar_split_clause,[],[f20696,f7106,f6928,f6932]) ).
thf(f20703,plain,
( spl2_46
| spl2_201
| spl2_190
| spl2_205 ),
inference(avatar_split_clause,[],[f20692,f7106,f6928,f7024,f859]) ).
thf(f20722,plain,
( ( $true != $true )
| ~ spl2_193
| ~ spl2_210 ),
inference(constrained_superposition,[],[f7448,f6940]) ).
thf(f20732,plain,
( $false
| ~ spl2_193
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f20722]) ).
thf(f20733,plain,
( ~ spl2_193
| ~ spl2_210 ),
inference(avatar_contradiction_clause,[],[f20732]) ).
thf(f20736,plain,
( spl2_192
| spl2_193
| spl2_205 ),
inference(avatar_split_clause,[],[f20693,f7106,f6939,f6936]) ).
thf(f20796,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| spl2_196 ),
inference(constrained_superposition,[],[f9258,f109]) ).
thf(f20803,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_196 ),
inference(trivial_inequality_removal,[],[f20796]) ).
thf(f20807,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_196 ),
inference(forward_subsumption_resolution,[],[f20803,f40]) ).
thf(f20812,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_27
| spl2_190 ),
inference(constrained_superposition,[],[f11328,f599]) ).
thf(f20818,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_27
| spl2_190 ),
inference(trivial_inequality_removal,[],[f20812]) ).
thf(f20821,plain,
( $false
| ~ spl2_27
| spl2_190
| spl2_205 ),
inference(forward_subsumption_resolution,[],[f20818,f16451]) ).
thf(f20822,plain,
( ~ spl2_27
| spl2_190
| spl2_205 ),
inference(avatar_contradiction_clause,[],[f20821]) ).
thf(f20840,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| spl2_196 ),
inference(constrained_superposition,[],[f26,f20807]) ).
thf(f20848,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_196 ),
inference(trivial_inequality_removal,[],[f20840]) ).
thf(f20855,plain,
( spl2_201
| spl2_203
| spl2_196 ),
inference(avatar_split_clause,[],[f20848,f6951,f7091,f7024]) ).
thf(f20932,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_195 ),
inference(constrained_superposition,[],[f26,f6947]) ).
thf(f20945,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f20932]) ).
thf(f20947,plain,
( spl2_209
| spl2_203
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f20945,f6946,f7091,f7444]) ).
thf(f21013,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192
| ~ spl2_259 ),
inference(constrained_superposition,[],[f9008,f6937]) ).
thf(f21025,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192
| ~ spl2_259 ),
inference(trivial_inequality_removal,[],[f21013]) ).
thf(f21033,plain,
( $false
| ~ spl2_192
| ~ spl2_198
| ~ spl2_259 ),
inference(forward_subsumption_resolution,[],[f21025,f7027]) ).
thf(f21034,plain,
( ~ spl2_192
| ~ spl2_198
| ~ spl2_259 ),
inference(avatar_contradiction_clause,[],[f21033]) ).
thf(f21176,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_209 ),
inference(constrained_superposition,[],[f7445,f50]) ).
thf(f21181,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f21176]) ).
thf(f21191,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_264 ),
inference(constrained_superposition,[],[f281,f16644]) ).
thf(f21210,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_21
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f21191]) ).
thf(f21217,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_21
| ~ spl2_30
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f21210,f609]) ).
thf(f21218,plain,
( $false
| ~ spl2_21
| ~ spl2_30
| spl2_212
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f21217,f7772]) ).
thf(f21219,plain,
( ~ spl2_21
| ~ spl2_30
| spl2_212
| ~ spl2_264 ),
inference(avatar_contradiction_clause,[],[f21218]) ).
thf(f21220,plain,
( spl2_312
| ~ spl2_426
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f21181,f7444,f19858,f11386]) ).
thf(f21236,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| spl2_30 ),
inference(constrained_superposition,[],[f1578,f435]) ).
thf(f21239,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_30 ),
inference(trivial_inequality_removal,[],[f21236]) ).
thf(f21242,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_30
| spl2_34 ),
inference(forward_subsumption_resolution,[],[f21239,f6893]) ).
thf(f21243,plain,
( spl2_35
| spl2_27
| spl2_30
| spl2_34 ),
inference(avatar_split_clause,[],[f21242,f657,f608,f598,f683]) ).
thf(f21271,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_190
| ~ spl2_289 ),
inference(constrained_superposition,[],[f10287,f6929]) ).
thf(f21275,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_190
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f21271]) ).
thf(f21277,plain,
( $false
| ~ spl2_44
| ~ spl2_190
| ~ spl2_289 ),
inference(forward_subsumption_resolution,[],[f21275,f850]) ).
thf(f21278,plain,
( ~ spl2_44
| ~ spl2_190
| ~ spl2_289 ),
inference(avatar_contradiction_clause,[],[f21277]) ).
thf(f21439,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_387
| ~ spl2_411 ),
inference(constrained_superposition,[],[f16609,f18326]) ).
thf(f21452,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_387
| ~ spl2_411 ),
inference(trivial_inequality_removal,[],[f21439]) ).
thf(f21459,plain,
( $false
| ~ spl2_245
| ~ spl2_387
| ~ spl2_411 ),
inference(forward_subsumption_resolution,[],[f21452,f8819]) ).
thf(f21460,plain,
( ~ spl2_245
| ~ spl2_387
| ~ spl2_411 ),
inference(avatar_contradiction_clause,[],[f21459]) ).
thf(f21495,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_99
| ~ spl2_231 ),
inference(constrained_superposition,[],[f2701,f7952]) ).
thf(f21496,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_99
| ~ spl2_387 ),
inference(constrained_superposition,[],[f2701,f18326]) ).
thf(f21503,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_99
| ~ spl2_387 ),
inference(trivial_inequality_removal,[],[f21496]) ).
thf(f21507,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_99
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f21495]) ).
thf(f21511,plain,
( ~ spl2_377
| spl2_411
| ~ spl2_99
| ~ spl2_387 ),
inference(avatar_split_clause,[],[f21503,f15164,f2700,f16608,f14912]) ).
thf(f21512,plain,
( ~ spl2_212
| spl2_286
| ~ spl2_99
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f21507,f7951,f2700,f10170,f7456]) ).
thf(f21515,plain,
( spl2_312
| ~ spl2_173
| spl2_194
| ~ spl2_4
| spl2_205 ),
inference(avatar_split_clause,[],[f20684,f7106,f80,f6943,f5710,f11386]) ).
thf(f21516,plain,
( spl2_194
| spl2_163
| spl2_212
| spl2_205 ),
inference(avatar_split_clause,[],[f20688,f7106,f7456,f5488,f6943]) ).
thf(f21518,plain,
( spl2_163
| spl2_192
| spl2_212
| spl2_205 ),
inference(avatar_split_clause,[],[f20687,f7106,f7456,f6936,f5488]) ).
thf(f21519,plain,
( spl2_194
| spl2_163
| spl2_312
| ~ spl2_4
| spl2_205 ),
inference(avatar_split_clause,[],[f20682,f7106,f80,f11386,f5488,f6943]) ).
thf(f21632,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_231 ),
inference(constrained_superposition,[],[f8696,f109]) ).
thf(f21638,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_231 ),
inference(trivial_inequality_removal,[],[f21632]) ).
thf(f21643,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_231 ),
inference(forward_subsumption_resolution,[],[f21638,f40]) ).
thf(f21670,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| spl2_231 ),
inference(constrained_superposition,[],[f26,f21643]) ).
thf(f21675,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_231 ),
inference(trivial_inequality_removal,[],[f21670]) ).
thf(f21684,plain,
( spl2_210
| spl2_300
| spl2_231 ),
inference(avatar_split_clause,[],[f21675,f7951,f10671,f7447]) ).
thf(f21697,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_324 ),
inference(constrained_superposition,[],[f26,f12886]) ).
thf(f21703,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f21697]) ).
thf(f21711,plain,
( spl2_46
| spl2_300
| ~ spl2_324 ),
inference(avatar_split_clause,[],[f21703,f12885,f10671,f859]) ).
thf(f21742,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_387 ),
inference(constrained_superposition,[],[f15165,f109]) ).
thf(f21750,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_387 ),
inference(trivial_inequality_removal,[],[f21742]) ).
thf(f21754,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_387 ),
inference(forward_subsumption_resolution,[],[f21750,f40]) ).
thf(f21883,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_407 ),
inference(constrained_superposition,[],[f631,f16489]) ).
thf(f21907,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_407 ),
inference(trivial_inequality_removal,[],[f21883]) ).
thf(f21914,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_231
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f21907,f8696]) ).
thf(f21918,plain,
( $false
| spl2_231
| spl2_387
| ~ spl2_407 ),
inference(forward_subsumption_resolution,[],[f21914,f21754]) ).
thf(f21919,plain,
( spl2_231
| spl2_387
| ~ spl2_407 ),
inference(avatar_contradiction_clause,[],[f21918]) ).
thf(f21924,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_198 ),
inference(constrained_superposition,[],[f27,f7027]) ).
thf(f21925,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f21924]) ).
thf(f21987,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f27,f7952]) ).
thf(f21988,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f21987]) ).
thf(f22070,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_198
| ~ spl2_280 ),
inference(constrained_superposition,[],[f9564,f7027]) ).
thf(f22079,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_198
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f22070]) ).
thf(f22080,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_198
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f22079,f125]) ).
thf(f22081,plain,
( spl2_102
| ~ spl2_7
| ~ spl2_198
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f22080,f9563,f6977,f124,f2792]) ).
thf(f22139,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_174
| ~ spl2_372 ),
inference(constrained_superposition,[],[f5723,f14875]) ).
thf(f22146,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_174
| ~ spl2_372 ),
inference(trivial_inequality_removal,[],[f22139]) ).
thf(f22153,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_174
| ~ spl2_372
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f22146,f14960]) ).
thf(f22157,plain,
( spl2_419
| ~ spl2_174
| ~ spl2_372
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f22153,f14959,f14874,f5722,f18341]) ).
thf(f22160,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_372
| ~ spl2_419 ),
inference(constrained_superposition,[],[f18342,f14875]) ).
thf(f22176,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_372
| ~ spl2_419 ),
inference(trivial_inequality_removal,[],[f22160]) ).
thf(f22183,plain,
( $false
| ~ spl2_198
| ~ spl2_372
| ~ spl2_419 ),
inference(forward_subsumption_resolution,[],[f22176,f7027]) ).
thf(f22184,plain,
( ~ spl2_198
| ~ spl2_372
| ~ spl2_419 ),
inference(avatar_contradiction_clause,[],[f22183]) ).
thf(f22189,plain,
( spl2_419
| ~ spl2_382
| ~ spl2_174
| ~ spl2_372 ),
inference(avatar_split_clause,[],[f22146,f14874,f5722,f14959,f18341]) ).
thf(f22367,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_172
| ~ spl2_198 ),
inference(constrained_superposition,[],[f21925,f5708]) ).
thf(f22376,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_172
| ~ spl2_198 ),
inference(duplicate_literal_removal,[],[f22367]) ).
thf(f22377,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_172
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f22376]) ).
thf(f22388,plain,
( spl2_20
| spl2_327
| ~ spl2_172
| ~ spl2_198 ),
inference(avatar_split_clause,[],[f22377,f6977,f5707,f12911,f277]) ).
thf(f22410,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_327 ),
inference(constrained_superposition,[],[f12912,f12040]) ).
thf(f22414,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_4
| ~ spl2_327 ),
inference(trivial_inequality_removal,[],[f22410]) ).
thf(f22420,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_4
| ~ spl2_252
| ~ spl2_327 ),
inference(forward_subsumption_resolution,[],[f22414,f8848]) ).
thf(f22423,plain,
( spl2_221
| ~ spl2_4
| ~ spl2_252
| ~ spl2_327 ),
inference(avatar_split_clause,[],[f22420,f12911,f8847,f80,f7803]) ).
thf(f22664,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_141
| ~ spl2_264 ),
inference(constrained_superposition,[],[f4556,f16644]) ).
thf(f22676,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_141
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f22664]) ).
thf(f22683,definition,
( spl2_454
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_454])],[avatar_definition]) ).
thf(f22684,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_454 ),
inference(avatar_component_clause,[],[f22683]) ).
thf(f22685,plain,
( spl2_454
| spl2_229
| ~ spl2_141
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f22676,f9229,f4555,f7918,f22683]) ).
thf(f22694,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_264
| ~ spl2_454 ),
inference(constrained_superposition,[],[f22684,f16644]) ).
thf(f22696,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_264
| ~ spl2_454 ),
inference(trivial_inequality_removal,[],[f22694]) ).
thf(f22705,plain,
( ~ spl2_51
| ~ spl2_264
| ~ spl2_454 ),
inference(avatar_split_clause,[],[f22696,f22683,f9229,f974]) ).
thf(f22721,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_229
| ~ spl2_264 ),
inference(constrained_superposition,[],[f7919,f16644]) ).
thf(f22726,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_229
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f22721]) ).
thf(f22734,plain,
( ~ spl2_51
| ~ spl2_229
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f22726,f9229,f7918,f974]) ).
thf(f22959,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f21988,f7952]) ).
thf(f22972,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_231 ),
inference(duplicate_literal_removal,[],[f22959]) ).
thf(f22973,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f22972]) ).
thf(f22986,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_231
| ~ spl2_406 ),
inference(constrained_superposition,[],[f22973,f16486]) ).
thf(f22990,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_231
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f22986]) ).
thf(f23000,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_231
| ~ spl2_387
| ~ spl2_406 ),
inference(forward_subsumption_resolution,[],[f22990,f18326]) ).
thf(f23006,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_231
| ~ spl2_387
| ~ spl2_406 ),
inference(constrained_superposition,[],[f23000,f16486]) ).
thf(f23015,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_231
| ~ spl2_387
| ~ spl2_406 ),
inference(trivial_inequality_removal,[],[f23006]) ).
thf(f23025,plain,
( $false
| ~ spl2_231
| ~ spl2_264
| ~ spl2_387
| ~ spl2_406 ),
inference(forward_subsumption_resolution,[],[f23015,f16644]) ).
thf(f23026,plain,
( ~ spl2_231
| ~ spl2_264
| ~ spl2_387
| ~ spl2_406 ),
inference(avatar_contradiction_clause,[],[f23025]) ).
cnf(s6,plain,
( spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f177]) ).
cnf(s8,plain,
( ~ spl2_3
| ~ spl2_7
| ~ spl2_11
| spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f226]) ).
cnf(s11,plain,
( spl2_7
| ~ spl2_11 ),
inference(sat_conversion,[],[f237]) ).
cnf(s16,plain,
( ~ spl2_8
| ~ spl2_10
| spl2_20
| spl2_21 ),
inference(sat_conversion,[],[f282]) ).
cnf(s17,plain,
( spl2_22
| spl2_23 ),
inference(sat_conversion,[],[f349]) ).
cnf(s19,plain,
( spl2_7
| ~ spl2_24 ),
inference(sat_conversion,[],[f461]) ).
cnf(s22,plain,
( spl2_29
| spl2_30 ),
inference(sat_conversion,[],[f610]) ).
cnf(s25,plain,
( spl2_31
| spl2_32 ),
inference(sat_conversion,[],[f654]) ).
cnf(s43,plain,
( spl2_43
| spl2_44 ),
inference(sat_conversion,[],[f851]) ).
cnf(s44,plain,
( spl2_44
| spl2_45
| spl2_46 ),
inference(sat_conversion,[],[f861]) ).
cnf(s65,plain,
( ~ spl2_43
| spl2_45 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s75,plain,
( ~ spl2_29
| spl2_30
| ~ spl2_34 ),
inference(sat_conversion,[],[f1291]) ).
cnf(s100,plain,
( spl2_20
| ~ spl2_30
| ~ spl2_31
| spl2_74 ),
inference(sat_conversion,[],[f2160]) ).
cnf(s109,plain,
( ~ spl2_20
| ~ spl2_30
| ~ spl2_31 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s111,plain,
( ~ spl2_3
| ~ spl2_74 ),
inference(sat_conversion,[],[f2379]) ).
cnf(s121,plain,
( ~ spl2_8
| spl2_20
| ~ spl2_31
| spl2_44
| spl2_74 ),
inference(sat_conversion,[],[f2421]) ).
cnf(s123,plain,
( spl2_7
| spl2_20
| ~ spl2_31
| spl2_34
| spl2_44
| spl2_74 ),
inference(sat_conversion,[],[f2427]) ).
cnf(s125,plain,
( spl2_38
| spl2_44 ),
inference(sat_conversion,[],[f2443]) ).
cnf(s126,plain,
( spl2_44
| ~ spl2_69 ),
inference(sat_conversion,[],[f2447]) ).
cnf(s133,plain,
( ~ spl2_8
| ~ spl2_10
| ~ spl2_20
| spl2_44 ),
inference(sat_conversion,[],[f2576]) ).
cnf(s142,plain,
( spl2_7
| spl2_10 ),
inference(sat_conversion,[],[f2602]) ).
cnf(s144,plain,
( ~ spl2_8
| spl2_30
| spl2_44 ),
inference(sat_conversion,[],[f2606]) ).
cnf(s146,plain,
( spl2_7
| spl2_30
| spl2_44 ),
inference(sat_conversion,[],[f2611]) ).
cnf(s155,plain,
( ~ spl2_44
| spl2_99 ),
inference(sat_conversion,[],[f2703]) ).
cnf(s165,plain,
( ~ spl2_3
| ~ spl2_31
| ~ spl2_102 ),
inference(sat_conversion,[],[f2886]) ).
cnf(s173,plain,
( ~ spl2_20
| ~ spl2_22
| spl2_93 ),
inference(sat_conversion,[],[f3009]) ).
cnf(s185,plain,
( ~ spl2_3
| ~ spl2_8
| ~ spl2_29
| spl2_60
| ~ spl2_99 ),
inference(sat_conversion,[],[f3420]) ).
cnf(s188,plain,
( ~ spl2_3
| ~ spl2_60
| spl2_102 ),
inference(sat_conversion,[],[f3532]) ).
cnf(s191,plain,
( spl2_7
| spl2_8 ),
inference(sat_conversion,[],[f3535]) ).
cnf(s192,plain,
( spl2_30
| spl2_34
| spl2_69
| ~ spl2_93 ),
inference(sat_conversion,[],[f3539]) ).
cnf(s203,plain,
( spl2_7
| spl2_118 ),
inference(sat_conversion,[],[f3571]) ).
cnf(s209,plain,
( ~ spl2_7
| spl2_119 ),
inference(sat_conversion,[],[f3611]) ).
cnf(s211,plain,
( ~ spl2_3
| ~ spl2_29
| spl2_60
| spl2_121 ),
inference(sat_conversion,[],[f3674]) ).
cnf(s222,plain,
( ~ spl2_3
| spl2_46
| ~ spl2_121
| spl2_128 ),
inference(sat_conversion,[],[f3817]) ).
cnf(s227,plain,
( spl2_44
| spl2_75 ),
inference(sat_conversion,[],[f3845]) ).
cnf(s230,plain,
( spl2_30
| spl2_52 ),
inference(sat_conversion,[],[f3858]) ).
cnf(s237,plain,
( ~ spl2_3
| ~ spl2_7
| ~ spl2_29
| ~ spl2_31
| spl2_59
| spl2_60
| ~ spl2_126 ),
inference(sat_conversion,[],[f3992]) ).
cnf(s238,plain,
~ spl2_131,
inference(sat_conversion,[],[f4162]) ).
cnf(s265,plain,
( ~ spl2_3
| ~ spl2_7
| ~ spl2_16 ),
inference(sat_conversion,[],[f4284]) ).
cnf(s268,plain,
( ~ spl2_11
| spl2_23 ),
inference(sat_conversion,[],[f4298]) ).
cnf(s269,plain,
( ~ spl2_11
| spl2_24 ),
inference(sat_conversion,[],[f4299]) ).
cnf(s272,plain,
( ~ spl2_3
| ~ spl2_31
| ~ spl2_59 ),
inference(sat_conversion,[],[f4362]) ).
cnf(s284,plain,
( ~ spl2_3
| ~ spl2_15
| spl2_44
| spl2_55
| ~ spl2_121
| spl2_137 ),
inference(sat_conversion,[],[f4569]) ).
cnf(s342,plain,
( ~ spl2_44
| spl2_138 ),
inference(sat_conversion,[],[f4870]) ).
cnf(s343,plain,
( ~ spl2_7
| ~ spl2_44
| ~ spl2_68 ),
inference(sat_conversion,[],[f4872]) ).
cnf(s347,plain,
( ~ spl2_23
| spl2_31 ),
inference(sat_conversion,[],[f4878]) ).
cnf(s350,plain,
( spl2_31
| ~ spl2_128
| spl2_152 ),
inference(sat_conversion,[],[f4891]) ).
cnf(s352,plain,
( spl2_27
| ~ spl2_46 ),
inference(sat_conversion,[],[f4904]) ).
cnf(s353,plain,
( ~ spl2_3
| ~ spl2_46
| ~ spl2_121
| spl2_131 ),
inference(sat_conversion,[],[f4905]) ).
cnf(s357,plain,
( spl2_126
| ~ spl2_152 ),
inference(sat_conversion,[],[f4967]) ).
cnf(s359,plain,
( ~ spl2_51
| spl2_141 ),
inference(sat_conversion,[],[f4982]) ).
cnf(s367,plain,
( ~ spl2_3
| ~ spl2_12
| ~ spl2_52
| ~ spl2_121
| spl2_126 ),
inference(sat_conversion,[],[f5106]) ).
cnf(s382,plain,
( ~ spl2_29
| spl2_60
| ~ spl2_137 ),
inference(sat_conversion,[],[f5456]) ).
cnf(s407,plain,
( ~ spl2_29
| spl2_85
| ~ spl2_126
| spl2_167 ),
inference(sat_conversion,[],[f5559]) ).
cnf(s409,plain,
( ~ spl2_3
| ~ spl2_7
| ~ spl2_85 ),
inference(sat_conversion,[],[f5585]) ).
cnf(s410,plain,
( ~ spl2_3
| spl2_60
| ~ spl2_167 ),
inference(sat_conversion,[],[f5610]) ).
cnf(s413,plain,
( ~ spl2_12
| ~ spl2_14
| spl2_23 ),
inference(sat_conversion,[],[f5616]) ).
cnf(s421,plain,
( ~ spl2_34
| ~ spl2_49
| spl2_51 ),
inference(sat_conversion,[],[f5703]) ).
cnf(s432,plain,
( spl2_31
| ~ spl2_34
| ~ spl2_49 ),
inference(sat_conversion,[],[f5727]) ).
cnf(s434,plain,
( spl2_30
| ~ spl2_34
| ~ spl2_43
| ~ spl2_75 ),
inference(sat_conversion,[],[f5731]) ).
cnf(s436,plain,
( spl2_14
| ~ spl2_34
| spl2_49 ),
inference(sat_conversion,[],[f5732]) ).
cnf(s446,plain,
( ~ spl2_7
| ~ spl2_30
| ~ spl2_159 ),
inference(sat_conversion,[],[f5797]) ).
cnf(s456,plain,
( ~ spl2_30
| spl2_171 ),
inference(sat_conversion,[],[f5907]) ).
cnf(s463,plain,
( ~ spl2_27
| spl2_44 ),
inference(sat_conversion,[],[f6118]) ).
cnf(s531,plain,
( spl2_34
| spl2_192
| spl2_193 ),
inference(sat_conversion,[],[f6941]) ).
cnf(s540,plain,
( ~ spl2_12
| ~ spl2_52
| ~ spl2_191
| spl2_198 ),
inference(sat_conversion,[],[f7028]) ).
cnf(s552,plain,
( ~ spl2_7
| spl2_163
| ~ spl2_204 ),
inference(sat_conversion,[],[f7215]) ).
cnf(s584,plain,
( spl2_163
| ~ spl2_193
| spl2_212 ),
inference(sat_conversion,[],[f7464]) ).
cnf(s607,plain,
( spl2_14
| spl2_49
| ~ spl2_214 ),
inference(sat_conversion,[],[f7684]) ).
cnf(s619,plain,
( ~ spl2_32
| spl2_198
| ~ spl2_201 ),
inference(sat_conversion,[],[f7820]) ).
cnf(s626,plain,
( ~ spl2_190
| ~ spl2_196
| spl2_225
| spl2_226 ),
inference(sat_conversion,[],[f7906]) ).
cnf(s640,plain,
( spl2_163
| ~ spl2_203 ),
inference(sat_conversion,[],[f7993]) ).
cnf(s643,plain,
( ~ spl2_210
| spl2_231 ),
inference(sat_conversion,[],[f8007]) ).
cnf(s648,plain,
( ~ spl2_190
| ~ spl2_196
| ~ spl2_225 ),
inference(sat_conversion,[],[f8068]) ).
cnf(s651,plain,
( ~ spl2_3
| ~ spl2_226 ),
inference(sat_conversion,[],[f8098]) ).
cnf(s656,plain,
( spl2_34
| spl2_196
| spl2_232 ),
inference(sat_conversion,[],[f8111]) ).
cnf(s660,plain,
( spl2_159
| ~ spl2_163
| ~ spl2_190
| spl2_227 ),
inference(sat_conversion,[],[f8127]) ).
cnf(s666,plain,
( ~ spl2_195
| spl2_203
| spl2_209 ),
inference(sat_conversion,[],[f8199]) ).
cnf(s671,plain,
( spl2_198
| spl2_237 ),
inference(sat_conversion,[],[f8227]) ).
cnf(s674,plain,
( ~ spl2_68
| ~ spl2_190
| ~ spl2_198 ),
inference(sat_conversion,[],[f8229]) ).
cnf(s681,plain,
( ~ spl2_195
| ~ spl2_203 ),
inference(sat_conversion,[],[f8267]) ).
cnf(s682,plain,
( spl2_196
| ~ spl2_203 ),
inference(sat_conversion,[],[f8273]) ).
cnf(s684,plain,
( ~ spl2_3
| ~ spl2_102
| ~ spl2_198 ),
inference(sat_conversion,[],[f8291]) ).
cnf(s690,plain,
( spl2_34
| spl2_44
| spl2_163
| spl2_190 ),
inference(sat_conversion,[],[f8303]) ).
cnf(s710,plain,
( spl2_30
| spl2_34
| spl2_63 ),
inference(sat_conversion,[],[f8428]) ).
cnf(s714,plain,
( spl2_163
| spl2_221 ),
inference(sat_conversion,[],[f8455]) ).
cnf(s754,plain,
( spl2_30
| ~ spl2_46 ),
inference(sat_conversion,[],[f8738]) ).
cnf(s757,plain,
( ~ spl2_53
| spl2_132 ),
inference(sat_conversion,[],[f8751]) ).
cnf(s760,plain,
( ~ spl2_46
| ~ spl2_55 ),
inference(sat_conversion,[],[f8775]) ).
cnf(s763,plain,
( spl2_242
| ~ spl2_243 ),
inference(sat_conversion,[],[f8812]) ).
cnf(s764,plain,
( spl2_172
| spl2_233 ),
inference(sat_conversion,[],[f8813]) ).
cnf(s766,plain,
( ~ spl2_244
| spl2_246 ),
inference(sat_conversion,[],[f8824]) ).
cnf(s770,plain,
( spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f8841]) ).
cnf(s775,plain,
( ~ spl2_153
| spl2_245
| spl2_252 ),
inference(sat_conversion,[],[f8855]) ).
cnf(s777,plain,
( spl2_11
| spl2_31
| spl2_34
| spl2_153 ),
inference(sat_conversion,[],[f8856]) ).
cnf(s781,plain,
( ~ spl2_24
| spl2_198
| spl2_204 ),
inference(sat_conversion,[],[f8883]) ).
cnf(s784,plain,
( spl2_243
| spl2_245 ),
inference(sat_conversion,[],[f8905]) ).
cnf(s788,plain,
( ~ spl2_24
| spl2_34
| ~ spl2_102
| ~ spl2_245 ),
inference(sat_conversion,[],[f8926]) ).
cnf(s794,plain,
( ~ spl2_35
| spl2_214
| spl2_231
| spl2_255
| spl2_257 ),
inference(sat_conversion,[],[f8993]) ).
cnf(s813,plain,
( spl2_244
| spl2_252 ),
inference(sat_conversion,[],[f9118]) ).
cnf(s816,plain,
( ~ spl2_74
| ~ spl2_245
| ~ spl2_252 ),
inference(sat_conversion,[],[f9121]) ).
cnf(s832,plain,
( ~ spl2_35
| spl2_172
| spl2_196
| spl2_204
| spl2_205 ),
inference(sat_conversion,[],[f9283]) ).
cnf(s837,plain,
( spl2_16
| ~ spl2_163
| ~ spl2_212
| ~ spl2_219 ),
inference(sat_conversion,[],[f9337]) ).
cnf(s848,plain,
( spl2_16
| spl2_38
| spl2_160
| ~ spl2_245 ),
inference(sat_conversion,[],[f9444]) ).
cnf(s857,plain,
( ~ spl2_163
| spl2_280 ),
inference(sat_conversion,[],[f9566]) ).
cnf(s858,plain,
( ~ spl2_7
| ~ spl2_23
| spl2_102
| ~ spl2_280 ),
inference(sat_conversion,[],[f9586]) ).
cnf(s866,plain,
( ~ spl2_21
| ~ spl2_30
| spl2_163
| ~ spl2_190 ),
inference(sat_conversion,[],[f9625]) ).
cnf(s868,plain,
( spl2_38
| spl2_245
| spl2_249 ),
inference(sat_conversion,[],[f9660]) ).
cnf(s874,plain,
( ~ spl2_192
| ~ spl2_226
| ~ spl2_231 ),
inference(sat_conversion,[],[f9714]) ).
cnf(s875,plain,
( ~ spl2_23
| ~ spl2_226 ),
inference(sat_conversion,[],[f9718]) ).
cnf(s888,plain,
( ~ spl2_11
| ~ spl2_14 ),
inference(sat_conversion,[],[f9746]) ).
cnf(s889,plain,
( ~ spl2_249
| spl2_252 ),
inference(sat_conversion,[],[f9776]) ).
cnf(s894,plain,
( ~ spl2_54
| spl2_252 ),
inference(sat_conversion,[],[f9791]) ).
cnf(s896,plain,
( spl2_44
| ~ spl2_204
| ~ spl2_212 ),
inference(sat_conversion,[],[f9864]) ).
cnf(s901,plain,
( spl2_51
| ~ spl2_204
| ~ spl2_231 ),
inference(sat_conversion,[],[f9871]) ).
cnf(s902,plain,
( spl2_51
| spl2_53
| ~ spl2_204 ),
inference(sat_conversion,[],[f9873]) ).
cnf(s904,plain,
( ~ spl2_30
| ~ spl2_204
| spl2_257 ),
inference(sat_conversion,[],[f9876]) ).
cnf(s908,plain,
( spl2_51
| spl2_55
| ~ spl2_204 ),
inference(sat_conversion,[],[f9880]) ).
cnf(s913,plain,
( spl2_11
| ~ spl2_14
| spl2_54 ),
inference(sat_conversion,[],[f9905]) ).
cnf(s914,plain,
( spl2_24
| ~ spl2_14
| spl2_24 ),
inference(sat_conversion,[],[f9906]) ).
cnf(s915,plain,
( ~ spl2_14
| spl2_24 ),
inference(rat,[],[s914]) ).
cnf(s916,plain,
( spl2_163
| spl2_173 ),
inference(sat_conversion,[],[f9918]) ).
cnf(s918,plain,
( ~ spl2_30
| ~ spl2_51
| ~ spl2_74 ),
inference(sat_conversion,[],[f9938]) ).
cnf(s920,plain,
( ~ spl2_30
| ~ spl2_51
| spl2_68
| ~ spl2_171 ),
inference(sat_conversion,[],[f9939]) ).
cnf(s934,plain,
( ~ spl2_23
| ~ spl2_102
| ~ spl2_245 ),
inference(sat_conversion,[],[f10028]) ).
cnf(s936,plain,
( spl2_31
| spl2_32
| spl2_34 ),
inference(sat_conversion,[],[f10031]) ).
cnf(s939,plain,
( ~ spl2_102
| ~ spl2_198
| ~ spl2_260 ),
inference(sat_conversion,[],[f10064]) ).
cnf(s944,plain,
( ~ spl2_12
| ~ spl2_244
| spl2_285 ),
inference(sat_conversion,[],[f10142]) ).
cnf(s946,plain,
( ~ spl2_192
| ~ spl2_212
| ~ spl2_280
| spl2_286 ),
inference(sat_conversion,[],[f10172]) ).
cnf(s960,plain,
( spl2_16
| ~ spl2_163
| ~ spl2_260
| spl2_289 ),
inference(sat_conversion,[],[f10289]) ).
cnf(s967,plain,
( ~ spl2_192
| ~ spl2_194
| spl2_212
| ~ spl2_289
| spl2_294
| spl2_295 ),
inference(sat_conversion,[],[f10378]) ).
cnf(s968,plain,
( ~ spl2_163
| ~ spl2_260
| ~ spl2_295 ),
inference(sat_conversion,[],[f10395]) ).
cnf(s969,plain,
( ~ spl2_192
| ~ spl2_194
| ~ spl2_295 ),
inference(sat_conversion,[],[f10397]) ).
cnf(s972,plain,
( ~ spl2_192
| ~ spl2_212
| ~ spl2_289 ),
inference(sat_conversion,[],[f10415]) ).
cnf(s977,plain,
( ~ spl2_210
| spl2_257 ),
inference(sat_conversion,[],[f10431]) ).
cnf(s980,plain,
( ~ spl2_171
| ~ spl2_231
| ~ spl2_257
| spl2_259 ),
inference(sat_conversion,[],[f10452]) ).
cnf(s981,plain,
( ~ spl2_171
| ~ spl2_231
| ~ spl2_257
| spl2_259 ),
inference(sat_conversion,[],[f10453]) ).
cnf(s982,plain,
( ~ spl2_74
| ~ spl2_231
| ~ spl2_257 ),
inference(sat_conversion,[],[f10454]) ).
cnf(s989,plain,
( spl2_172
| ~ spl2_193
| spl2_257 ),
inference(sat_conversion,[],[f10524]) ).
cnf(s990,plain,
( spl2_172
| ~ spl2_193
| spl2_214
| spl2_257 ),
inference(sat_conversion,[],[f10525]) ).
cnf(s995,plain,
( spl2_252
| spl2_253 ),
inference(sat_conversion,[],[f10551]) ).
cnf(s996,plain,
( ~ spl2_12
| ~ spl2_193
| spl2_198
| ~ spl2_298 ),
inference(sat_conversion,[],[f10552]) ).
cnf(s1000,plain,
( ~ spl2_31
| ~ spl2_102
| ~ spl2_245 ),
inference(sat_conversion,[],[f10566]) ).
cnf(s1010,plain,
( spl2_257
| spl2_298 ),
inference(sat_conversion,[],[f10621]) ).
cnf(s1015,plain,
( ~ spl2_119
| ~ spl2_212
| ~ spl2_257
| spl2_286 ),
inference(sat_conversion,[],[f10640]) ).
cnf(s1021,plain,
( ~ spl2_193
| ~ spl2_201
| spl2_231 ),
inference(sat_conversion,[],[f10738]) ).
cnf(s1023,plain,
( ~ spl2_193
| spl2_196
| spl2_231 ),
inference(sat_conversion,[],[f10742]) ).
cnf(s1032,plain,
( ~ spl2_192
| ~ spl2_260
| ~ spl2_286 ),
inference(sat_conversion,[],[f10827]) ).
cnf(s1033,plain,
( ~ spl2_31
| ~ spl2_231
| ~ spl2_259 ),
inference(sat_conversion,[],[f10845]) ).
cnf(s1037,plain,
( ~ spl2_195
| spl2_196
| ~ spl2_300 ),
inference(sat_conversion,[],[f10861]) ).
cnf(s1038,plain,
( ~ spl2_102
| ~ spl2_234
| ~ spl2_243
| ~ spl2_300 ),
inference(sat_conversion,[],[f10862]) ).
cnf(s1040,plain,
( ~ spl2_172
| spl2_174 ),
inference(sat_conversion,[],[f10907]) ).
cnf(s1041,plain,
( ~ spl2_30
| spl2_68
| ~ spl2_174
| ~ spl2_190 ),
inference(sat_conversion,[],[f10923]) ).
cnf(s1059,plain,
( ~ spl2_119
| ~ spl2_163
| ~ spl2_172
| ~ spl2_252 ),
inference(sat_conversion,[],[f11157]) ).
cnf(s1060,plain,
( ~ spl2_7
| ~ spl2_16
| ~ spl2_252 ),
inference(sat_conversion,[],[f11173]) ).
cnf(s1061,plain,
( ~ spl2_16
| ~ spl2_163
| ~ spl2_260 ),
inference(sat_conversion,[],[f11176]) ).
cnf(s1079,plain,
( ~ spl2_31
| spl2_68
| ~ spl2_231
| ~ spl2_234 ),
inference(sat_conversion,[],[f11381]) ).
cnf(s1081,plain,
( ~ spl2_31
| spl2_68
| spl2_214
| ~ spl2_231
| ~ spl2_253
| spl2_312 ),
inference(sat_conversion,[],[f11388]) ).
cnf(s1089,plain,
( spl2_20
| ~ spl2_246
| ~ spl2_285
| spl2_313 ),
inference(sat_conversion,[],[f11511]) ).
cnf(s1090,plain,
( ~ spl2_246
| spl2_257
| spl2_312 ),
inference(sat_conversion,[],[f11512]) ).
cnf(s1091,plain,
( ~ spl2_118
| spl2_212
| spl2_257 ),
inference(sat_conversion,[],[f11552]) ).
cnf(s1105,plain,
( ~ spl2_30
| ~ spl2_255
| spl2_257 ),
inference(sat_conversion,[],[f11834]) ).
cnf(s1130,plain,
( ~ spl2_63
| spl2_190
| spl2_198
| spl2_204
| spl2_205 ),
inference(sat_conversion,[],[f12131]) ).
cnf(s1132,plain,
( spl2_44
| spl2_190
| spl2_205
| ~ spl2_221 ),
inference(sat_conversion,[],[f12168]) ).
cnf(s1163,plain,
( ~ spl2_12
| ~ spl2_74
| ~ spl2_163
| spl2_198
| ~ spl2_201
| spl2_204
| spl2_212
| ~ spl2_294 ),
inference(sat_conversion,[],[f12940]) ).
cnf(s1168,plain,
( ~ spl2_4
| spl2_8
| spl2_252 ),
inference(sat_conversion,[],[f12952]) ).
cnf(s1169,plain,
( ~ spl2_4
| spl2_7
| spl2_285 ),
inference(sat_conversion,[],[f12955]) ).
cnf(s1173,plain,
( ~ spl2_4
| spl2_118
| spl2_252 ),
inference(sat_conversion,[],[f12964]) ).
cnf(s1180,plain,
( ~ spl2_174
| ~ spl2_192
| ~ spl2_257
| spl2_259 ),
inference(sat_conversion,[],[f12985]) ).
cnf(s1183,plain,
( spl2_7
| ~ spl2_74
| spl2_338 ),
inference(sat_conversion,[],[f12996]) ).
cnf(s1186,plain,
( ~ spl2_4
| ~ spl2_74
| spl2_252
| spl2_338 ),
inference(sat_conversion,[],[f13002]) ).
cnf(s1187,plain,
( spl2_7
| ~ spl2_45
| ~ spl2_74
| spl2_96 ),
inference(sat_conversion,[],[f13003]) ).
cnf(s1192,plain,
( ~ spl2_4
| ~ spl2_45
| ~ spl2_74
| spl2_96
| spl2_252 ),
inference(sat_conversion,[],[f13014]) ).
cnf(s1199,plain,
( spl2_7
| spl2_253 ),
inference(sat_conversion,[],[f13033]) ).
cnf(s1201,plain,
( ~ spl2_46
| ~ spl2_191 ),
inference(sat_conversion,[],[f13048]) ).
cnf(s1207,plain,
( ~ spl2_194
| ~ spl2_196
| ~ spl2_242
| spl2_305
| spl2_312 ),
inference(sat_conversion,[],[f13065]) ).
cnf(s1209,plain,
( ~ spl2_75
| spl2_163
| ~ spl2_191 ),
inference(sat_conversion,[],[f13069]) ).
cnf(s1218,plain,
( ~ spl2_96
| spl2_212 ),
inference(sat_conversion,[],[f13118]) ).
cnf(s1237,plain,
( ~ spl2_45
| ~ spl2_74
| spl2_212
| ~ spl2_257 ),
inference(sat_conversion,[],[f13250]) ).
cnf(s1238,plain,
( ~ spl2_74
| ~ spl2_242
| ~ spl2_257
| spl2_312 ),
inference(sat_conversion,[],[f13252]) ).
cnf(s1239,plain,
( ~ spl2_38
| ~ spl2_74
| spl2_212
| spl2_255
| ~ spl2_257 ),
inference(sat_conversion,[],[f13254]) ).
cnf(s1249,plain,
( ~ spl2_30
| ~ spl2_121
| ~ spl2_252 ),
inference(sat_conversion,[],[f13306]) ).
cnf(s1252,plain,
( ~ spl2_192
| ~ spl2_212
| ~ spl2_227
| ~ spl2_231 ),
inference(sat_conversion,[],[f13310]) ).
cnf(s1257,plain,
( ~ spl2_96
| spl2_163 ),
inference(sat_conversion,[],[f13330]) ).
cnf(s1265,plain,
( ~ spl2_192
| ~ spl2_260
| spl2_308
| ~ spl2_312 ),
inference(sat_conversion,[],[f13343]) ).
cnf(s1266,plain,
( ~ spl2_4
| spl2_43
| spl2_245 ),
inference(sat_conversion,[],[f13344]) ).
cnf(s1274,plain,
( ~ spl2_4
| spl2_221
| spl2_260 ),
inference(sat_conversion,[],[f13371]) ).
cnf(s1279,plain,
( ~ spl2_194
| ~ spl2_308
| ~ spl2_312 ),
inference(sat_conversion,[],[f13431]) ).
cnf(s1287,plain,
( ~ spl2_7
| ~ spl2_31
| ~ spl2_99
| spl2_102 ),
inference(sat_conversion,[],[f13578]) ).
cnf(s1290,plain,
( ~ spl2_21
| spl2_163
| ~ spl2_192
| ~ spl2_257 ),
inference(sat_conversion,[],[f13586]) ).
cnf(s1291,plain,
( ~ spl2_192
| ~ spl2_257
| ~ spl2_327 ),
inference(sat_conversion,[],[f13587]) ).
cnf(s1294,plain,
( ~ spl2_192
| ~ spl2_257
| spl2_260
| ~ spl2_313 ),
inference(sat_conversion,[],[f13592]) ).
cnf(s1307,plain,
( ~ spl2_160
| ~ spl2_163
| ~ spl2_196 ),
inference(sat_conversion,[],[f13685]) ).
cnf(s1311,plain,
( ~ spl2_44
| spl2_212
| ~ spl2_255 ),
inference(sat_conversion,[],[f13765]) ).
cnf(s1314,plain,
( ~ spl2_12
| spl2_29
| spl2_31 ),
inference(sat_conversion,[],[f13771]) ).
cnf(s1320,plain,
( ~ spl2_16
| ~ spl2_44
| ~ spl2_245 ),
inference(sat_conversion,[],[f13810]) ).
cnf(s1323,plain,
( ~ spl2_4
| spl2_38
| ~ spl2_74
| ~ spl2_252 ),
inference(sat_conversion,[],[f13813]) ).
cnf(s1324,plain,
( ~ spl2_243
| ~ spl2_300
| spl2_312 ),
inference(sat_conversion,[],[f13814]) ).
cnf(s1325,plain,
( ~ spl2_4
| spl2_163
| spl2_172
| spl2_252 ),
inference(sat_conversion,[],[f13815]) ).
cnf(s1326,plain,
( ~ spl2_99
| ~ spl2_163
| ~ spl2_196
| spl2_308 ),
inference(sat_conversion,[],[f13816]) ).
cnf(s1340,plain,
( spl2_51
| spl2_53
| ~ spl2_255 ),
inference(sat_conversion,[],[f13937]) ).
cnf(s1341,plain,
( spl2_53
| ~ spl2_255
| ~ spl2_300 ),
inference(sat_conversion,[],[f13938]) ).
cnf(s1342,plain,
( spl2_51
| spl2_55
| ~ spl2_255 ),
inference(sat_conversion,[],[f13939]) ).
cnf(s1353,plain,
( ~ spl2_53
| spl2_245 ),
inference(sat_conversion,[],[f13974]) ).
cnf(s1354,plain,
( spl2_31
| ~ spl2_53 ),
inference(sat_conversion,[],[f13975]) ).
cnf(s1360,plain,
( spl2_46
| spl2_53
| ~ spl2_55 ),
inference(sat_conversion,[],[f14026]) ).
cnf(s1362,plain,
( spl2_27
| spl2_27
| ~ spl2_55 ),
inference(sat_conversion,[],[f14028]) ).
cnf(s1363,plain,
( spl2_27
| ~ spl2_55 ),
inference(rat,[],[s1362]) ).
cnf(s1365,plain,
( spl2_44
| ~ spl2_55 ),
inference(sat_conversion,[],[f14033]) ).
cnf(s1367,plain,
( ~ spl2_132
| spl2_231 ),
inference(sat_conversion,[],[f14065]) ).
cnf(s1373,plain,
( ~ spl2_153
| spl2_231
| ~ spl2_298 ),
inference(sat_conversion,[],[f14144]) ).
cnf(s1382,plain,
( ~ spl2_7
| ~ spl2_212
| ~ spl2_259 ),
inference(sat_conversion,[],[f14244]) ).
cnf(s1385,plain,
( ~ spl2_194
| ~ spl2_264
| ~ spl2_305 ),
inference(sat_conversion,[],[f14269]) ).
cnf(s1388,plain,
( spl2_264
| spl2_324 ),
inference(sat_conversion,[],[f14283]) ).
cnf(s1406,plain,
( ~ spl2_7
| ~ spl2_30
| ~ spl2_31
| spl2_102
| ~ spl2_138 ),
inference(sat_conversion,[],[f14527]) ).
cnf(s1409,plain,
( ~ spl2_212
| spl2_362 ),
inference(sat_conversion,[],[f14560]) ).
cnf(s1411,plain,
( ~ spl2_7
| spl2_102
| ~ spl2_234
| ~ spl2_362 ),
inference(sat_conversion,[],[f14581]) ).
cnf(s1412,plain,
( ~ spl2_32
| spl2_234
| ~ spl2_300 ),
inference(sat_conversion,[],[f14582]) ).
cnf(s1415,plain,
( spl2_163
| spl2_205
| ~ spl2_337 ),
inference(sat_conversion,[],[f14630]) ).
cnf(s1435,plain,
( spl2_204
| spl2_371
| spl2_372 ),
inference(sat_conversion,[],[f14876]) ).
cnf(s1468,plain,
( ~ spl2_226
| ~ spl2_372
| ~ spl2_387 ),
inference(sat_conversion,[],[f15170]) ).
cnf(s1474,plain,
( spl2_198
| spl2_204
| ~ spl2_253
| spl2_260 ),
inference(sat_conversion,[],[f15283]) ).
cnf(s1475,plain,
( ~ spl2_31
| spl2_204
| ~ spl2_226
| ~ spl2_253
| spl2_260 ),
inference(sat_conversion,[],[f15287]) ).
cnf(s1477,plain,
( ~ spl2_7
| spl2_102
| spl2_204
| ~ spl2_253
| spl2_260
| ~ spl2_280 ),
inference(sat_conversion,[],[f15291]) ).
cnf(s1487,plain,
( ~ spl2_119
| ~ spl2_252
| ~ spl2_377
| ~ spl2_382 ),
inference(sat_conversion,[],[f15464]) ).
cnf(s1490,plain,
( spl2_172
| ~ spl2_371
| spl2_382 ),
inference(sat_conversion,[],[f15471]) ).
cnf(s1505,plain,
( ~ spl2_10
| ~ spl2_31
| spl2_163
| ~ spl2_226 ),
inference(sat_conversion,[],[f15714]) ).
cnf(s1508,plain,
( spl2_198
| spl2_260
| ~ spl2_285 ),
inference(sat_conversion,[],[f15757]) ).
cnf(s1509,plain,
( ~ spl2_31
| ~ spl2_226
| spl2_260
| ~ spl2_285 ),
inference(sat_conversion,[],[f15762]) ).
cnf(s1523,plain,
( ~ spl2_4
| spl2_127
| spl2_245
| ~ spl2_338 ),
inference(sat_conversion,[],[f15949]) ).
cnf(s1539,plain,
( ~ spl2_63
| spl2_214
| spl2_234
| spl2_255
| spl2_264 ),
inference(sat_conversion,[],[f16280]) ).
cnf(s1555,plain,
( spl2_44
| spl2_377
| spl2_387 ),
inference(sat_conversion,[],[f16574]) ).
cnf(s1560,plain,
( spl2_44
| spl2_46
| spl2_377
| spl2_387 ),
inference(sat_conversion,[],[f16580]) ).
cnf(s1574,plain,
( ~ spl2_74
| ~ spl2_172
| ~ spl2_196 ),
inference(sat_conversion,[],[f16636]) ).
cnf(s1576,plain,
( ~ spl2_4
| ~ spl2_38
| ~ spl2_74
| spl2_252
| spl2_337 ),
inference(sat_conversion,[],[f16640]) ).
cnf(s1577,plain,
( ~ spl2_12
| ~ spl2_52
| spl2_234
| ~ spl2_324 ),
inference(sat_conversion,[],[f16641]) ).
cnf(s1595,plain,
( spl2_51
| spl2_53
| ~ spl2_214 ),
inference(sat_conversion,[],[f16778]) ).
cnf(s1596,plain,
( ~ spl2_192
| spl2_198
| ~ spl2_214 ),
inference(sat_conversion,[],[f16779]) ).
cnf(s1598,plain,
( ~ spl2_49
| ~ spl2_214
| spl2_234 ),
inference(sat_conversion,[],[f16783]) ).
cnf(s1600,plain,
( ~ spl2_29
| spl2_51
| ~ spl2_52
| ~ spl2_214 ),
inference(sat_conversion,[],[f16785]) ).
cnf(s1601,plain,
( spl2_51
| spl2_55
| ~ spl2_214 ),
inference(sat_conversion,[],[f16787]) ).
cnf(s1602,plain,
( ~ spl2_30
| spl2_55
| ~ spl2_74
| ~ spl2_214 ),
inference(sat_conversion,[],[f16789]) ).
cnf(s1604,plain,
( spl2_7
| ~ spl2_38
| ~ spl2_74
| spl2_337 ),
inference(sat_conversion,[],[f16794]) ).
cnf(s1621,plain,
( ~ spl2_96
| spl2_377 ),
inference(sat_conversion,[],[f16917]) ).
cnf(s1626,plain,
( ~ spl2_30
| ~ spl2_44
| ~ spl2_119
| spl2_121 ),
inference(sat_conversion,[],[f16951]) ).
cnf(s1630,plain,
( spl2_44
| spl2_46
| spl2_163
| spl2_196 ),
inference(sat_conversion,[],[f16967]) ).
cnf(s1631,plain,
( ~ spl2_38
| spl2_163
| spl2_196
| spl2_205 ),
inference(sat_conversion,[],[f16968]) ).
cnf(s1632,plain,
( spl2_44
| ~ spl2_159
| ~ spl2_163
| spl2_205
| ~ spl2_221 ),
inference(sat_conversion,[],[f16969]) ).
cnf(s1634,plain,
( spl2_7
| spl2_163
| spl2_172 ),
inference(sat_conversion,[],[f16970]) ).
cnf(s1636,plain,
( ~ spl2_192
| ~ spl2_198
| ~ spl2_234
| spl2_414 ),
inference(sat_conversion,[],[f16986]) ).
cnf(s1642,plain,
( ~ spl2_121
| ~ spl2_264
| ~ spl2_312 ),
inference(sat_conversion,[],[f17067]) ).
cnf(s1643,plain,
( ~ spl2_190
| ~ spl2_192
| ~ spl2_264
| spl2_305 ),
inference(sat_conversion,[],[f17069]) ).
cnf(s1651,plain,
( ~ spl2_163
| ~ spl2_194
| spl2_219
| ~ spl2_312 ),
inference(sat_conversion,[],[f17122]) ).
cnf(s1652,plain,
( ~ spl2_163
| ~ spl2_194
| spl2_308
| ~ spl2_362 ),
inference(sat_conversion,[],[f17123]) ).
cnf(s1658,plain,
( ~ spl2_44
| spl2_121
| ~ spl2_264
| ~ spl2_362 ),
inference(sat_conversion,[],[f17204]) ).
cnf(s1660,plain,
( ~ spl2_12
| spl2_31
| spl2_196
| ~ spl2_233 ),
inference(sat_conversion,[],[f17206]) ).
cnf(s1663,plain,
( spl2_30
| spl2_196
| ~ spl2_233 ),
inference(sat_conversion,[],[f17209]) ).
cnf(s1664,plain,
( ~ spl2_52
| spl2_172
| ~ spl2_191 ),
inference(sat_conversion,[],[f17210]) ).
cnf(s1668,plain,
( ~ spl2_4
| spl2_212
| spl2_252
| spl2_257 ),
inference(sat_conversion,[],[f17216]) ).
cnf(s1669,plain,
( spl2_7
| spl2_212
| spl2_257 ),
inference(sat_conversion,[],[f17217]) ).
cnf(s1670,plain,
( ~ spl2_4
| ~ spl2_75
| ~ spl2_191
| spl2_260 ),
inference(sat_conversion,[],[f17220]) ).
cnf(s1693,plain,
( ~ spl2_7
| ~ spl2_198
| ~ spl2_289 ),
inference(sat_conversion,[],[f17392]) ).
cnf(s1696,plain,
( ~ spl2_4
| spl2_44
| spl2_204
| spl2_264
| spl2_312 ),
inference(sat_conversion,[],[f17398]) ).
cnf(s1708,plain,
( ~ spl2_127
| spl2_212 ),
inference(sat_conversion,[],[f17432]) ).
cnf(s1728,plain,
( ~ spl2_20
| ~ spl2_172
| ~ spl2_198 ),
inference(sat_conversion,[],[f17572]) ).
cnf(s1729,plain,
( ~ spl2_20
| ~ spl2_234
| ~ spl2_257 ),
inference(sat_conversion,[],[f17574]) ).
cnf(s1748,plain,
( ~ spl2_194
| ~ spl2_234
| ~ spl2_414 ),
inference(sat_conversion,[],[f17744]) ).
cnf(s1751,plain,
( ~ spl2_4
| spl2_7
| spl2_234
| spl2_312 ),
inference(sat_conversion,[],[f17774]) ).
cnf(s1752,plain,
( spl2_7
| spl2_212
| spl2_234 ),
inference(sat_conversion,[],[f17776]) ).
cnf(s1756,plain,
( ~ spl2_4
| spl2_231
| spl2_245
| ~ spl2_416 ),
inference(sat_conversion,[],[f17782]) ).
cnf(s1789,plain,
( ~ spl2_196
| ~ spl2_245
| ~ spl2_308 ),
inference(sat_conversion,[],[f17972]) ).
cnf(s1792,plain,
( ~ spl2_75
| spl2_212
| ~ spl2_324 ),
inference(sat_conversion,[],[f17975]) ).
cnf(s1793,plain,
( ~ spl2_52
| spl2_257
| ~ spl2_324 ),
inference(sat_conversion,[],[f17976]) ).
cnf(s1796,plain,
( spl2_212
| spl2_416 ),
inference(sat_conversion,[],[f17980]) ).
cnf(s1811,plain,
( ~ spl2_127
| spl2_163 ),
inference(sat_conversion,[],[f18110]) ).
cnf(s1832,plain,
( spl2_196
| ~ spl2_371
| spl2_387 ),
inference(sat_conversion,[],[f18329]) ).
cnf(s1836,plain,
( ~ spl2_4
| spl2_260
| ~ spl2_371
| spl2_377 ),
inference(sat_conversion,[],[f18348]) ).
cnf(s1838,plain,
( spl2_163
| spl2_203
| ~ spl2_371
| spl2_377 ),
inference(sat_conversion,[],[f18350]) ).
cnf(s1843,plain,
( ~ spl2_74
| ~ spl2_382
| ~ spl2_387 ),
inference(sat_conversion,[],[f18365]) ).
cnf(s1846,plain,
( spl2_7
| spl2_377
| spl2_382 ),
inference(sat_conversion,[],[f18381]) ).
cnf(s1861,plain,
( ~ spl2_191
| ~ spl2_209
| ~ spl2_324 ),
inference(sat_conversion,[],[f18514]) ).
cnf(s1866,plain,
( ~ spl2_21
| spl2_163
| ~ spl2_372
| ~ spl2_382 ),
inference(sat_conversion,[],[f18583]) ).
cnf(s1894,plain,
( spl2_30
| spl2_387
| ~ spl2_422 ),
inference(sat_conversion,[],[f18775]) ).
cnf(s1900,plain,
( ~ spl2_201
| ~ spl2_243
| spl2_260 ),
inference(sat_conversion,[],[f18785]) ).
cnf(s1901,plain,
( ~ spl2_4
| spl2_34
| spl2_163
| spl2_196
| spl2_245 ),
inference(sat_conversion,[],[f18786]) ).
cnf(s1908,plain,
( ~ spl2_29
| spl2_51
| ~ spl2_52
| ~ spl2_205 ),
inference(sat_conversion,[],[f18885]) ).
cnf(s1909,plain,
( ~ spl2_51
| spl2_190
| ~ spl2_205 ),
inference(sat_conversion,[],[f18886]) ).
cnf(s1917,plain,
( ~ spl2_51
| spl2_196
| ~ spl2_205 ),
inference(sat_conversion,[],[f18897]) ).
cnf(s1919,plain,
( spl2_51
| spl2_53
| ~ spl2_205 ),
inference(sat_conversion,[],[f18899]) ).
cnf(s1925,plain,
( spl2_51
| spl2_55
| ~ spl2_205 ),
inference(sat_conversion,[],[f18908]) ).
cnf(s1940,plain,
( ~ spl2_31
| ~ spl2_51
| ~ spl2_68 ),
inference(sat_conversion,[],[f18990]) ).
cnf(s1945,plain,
( ~ spl2_68
| ~ spl2_234
| ~ spl2_264 ),
inference(sat_conversion,[],[f19058]) ).
cnf(s1948,plain,
( ~ spl2_4
| spl2_34
| spl2_44
| spl2_190
| spl2_260 ),
inference(sat_conversion,[],[f19062]) ).
cnf(s1950,plain,
( ~ spl2_30
| ~ spl2_264
| spl2_312
| ~ spl2_313 ),
inference(sat_conversion,[],[f19064]) ).
cnf(s1952,plain,
( ~ spl2_4
| ~ spl2_52
| ~ spl2_75
| spl2_252 ),
inference(sat_conversion,[],[f19066]) ).
cnf(s1953,plain,
( spl2_7
| spl2_11
| spl2_44
| ~ spl2_52 ),
inference(sat_conversion,[],[f19067]) ).
cnf(s1970,plain,
( ~ spl2_102
| ~ spl2_234
| ~ spl2_312 ),
inference(sat_conversion,[],[f19168]) ).
cnf(s1984,plain,
( spl2_382
| spl2_422 ),
inference(sat_conversion,[],[f19277]) ).
cnf(s1986,plain,
( spl2_382
| spl2_422 ),
inference(sat_conversion,[],[f19282]) ).
cnf(s1988,plain,
( ~ spl2_193
| spl2_209
| spl2_210 ),
inference(sat_conversion,[],[f19326]) ).
cnf(s1996,plain,
( ~ spl2_289
| ~ spl2_372
| ~ spl2_377 ),
inference(sat_conversion,[],[f19431]) ).
cnf(s2000,plain,
( ~ spl2_31
| ~ spl2_198
| ~ spl2_226 ),
inference(sat_conversion,[],[f19491]) ).
cnf(s2001,plain,
( ~ spl2_226
| ~ spl2_245
| ~ spl2_260 ),
inference(sat_conversion,[],[f19494]) ).
cnf(s2003,plain,
( ~ spl2_195
| ~ spl2_233
| spl2_257 ),
inference(sat_conversion,[],[f19496]) ).
cnf(s2004,plain,
( ~ spl2_195
| spl2_231
| ~ spl2_232 ),
inference(sat_conversion,[],[f19497]) ).
cnf(s2024,plain,
( ~ spl2_231
| ~ spl2_245
| ~ spl2_286 ),
inference(sat_conversion,[],[f19632]) ).
cnf(s2038,plain,
( ~ spl2_362
| ~ spl2_377
| ~ spl2_406
| spl2_411 ),
inference(sat_conversion,[],[f19784]) ).
cnf(s2041,plain,
( ~ spl2_209
| ~ spl2_371
| ~ spl2_407 ),
inference(sat_conversion,[],[f19816]) ).
cnf(s2044,plain,
( spl2_257
| ~ spl2_407
| ~ spl2_422 ),
inference(sat_conversion,[],[f19821]) ).
cnf(s2046,plain,
( ~ spl2_312
| ~ spl2_406
| ~ spl2_411 ),
inference(sat_conversion,[],[f19855]) ).
cnf(s2055,plain,
( ~ spl2_21
| spl2_44
| ~ spl2_245
| ~ spl2_252 ),
inference(sat_conversion,[],[f19891]) ).
cnf(s2058,plain,
( spl2_24
| spl2_31
| spl2_34
| spl2_35 ),
inference(sat_conversion,[],[f19906]) ).
cnf(s2059,plain,
( spl2_260
| spl2_426 ),
inference(sat_conversion,[],[f19913]) ).
cnf(s2061,plain,
( ~ spl2_209
| spl2_234
| ~ spl2_237 ),
inference(sat_conversion,[],[f19915]) ).
cnf(s2063,plain,
( ~ spl2_12
| ~ spl2_193
| spl2_198
| ~ spl2_298 ),
inference(sat_conversion,[],[f19918]) ).
cnf(s2070,plain,
( spl2_46
| ~ spl2_52
| spl2_153 ),
inference(sat_conversion,[],[f19957]) ).
cnf(s2082,plain,
( spl2_214
| spl2_257
| spl2_298 ),
inference(sat_conversion,[],[f20028]) ).
cnf(s2084,plain,
( ~ spl2_252
| ~ spl2_257
| ~ spl2_286 ),
inference(sat_conversion,[],[f20034]) ).
cnf(s2085,plain,
( spl2_44
| spl2_204
| spl2_212
| spl2_231 ),
inference(sat_conversion,[],[f20037]) ).
cnf(s2086,plain,
( ~ spl2_4
| spl2_204
| spl2_212
| spl2_231
| spl2_245 ),
inference(sat_conversion,[],[f20038]) ).
cnf(s2140,plain,
( spl2_20
| ~ spl2_234
| ~ spl2_257
| ~ spl2_382
| ~ spl2_406 ),
inference(sat_conversion,[],[f20616]) ).
cnf(s2142,plain,
( ~ spl2_51
| ~ spl2_190
| ~ spl2_226 ),
inference(sat_conversion,[],[f20618]) ).
cnf(s2154,plain,
( spl2_7
| spl2_31
| spl2_44 ),
inference(sat_conversion,[],[f20638]) ).
cnf(s2155,plain,
( ~ spl2_4
| spl2_7
| spl2_31
| spl2_245 ),
inference(sat_conversion,[],[f20639]) ).
cnf(s2169,plain,
( spl2_205
| spl2_406
| spl2_407 ),
inference(sat_conversion,[],[f20698]) ).
cnf(s2170,plain,
( ~ spl2_4
| spl2_192
| spl2_205
| spl2_212
| spl2_260 ),
inference(sat_conversion,[],[f20699]) ).
cnf(s2172,plain,
( spl2_194
| spl2_195
| spl2_205 ),
inference(sat_conversion,[],[f20701]) ).
cnf(s2173,plain,
( spl2_190
| spl2_191
| spl2_205 ),
inference(sat_conversion,[],[f20702]) ).
cnf(s2174,plain,
( spl2_46
| spl2_190
| spl2_201
| spl2_205 ),
inference(sat_conversion,[],[f20703]) ).
cnf(s2178,plain,
( ~ spl2_193
| ~ spl2_210 ),
inference(sat_conversion,[],[f20733]) ).
cnf(s2183,plain,
( spl2_192
| spl2_193
| spl2_205 ),
inference(sat_conversion,[],[f20736]) ).
cnf(s2192,plain,
( ~ spl2_27
| spl2_190
| spl2_205 ),
inference(sat_conversion,[],[f20822]) ).
cnf(s2199,plain,
( spl2_196
| spl2_201
| spl2_203 ),
inference(sat_conversion,[],[f20855]) ).
cnf(s2205,plain,
( ~ spl2_195
| spl2_203
| spl2_209 ),
inference(sat_conversion,[],[f20947]) ).
cnf(s2209,plain,
( ~ spl2_192
| ~ spl2_198
| ~ spl2_259 ),
inference(sat_conversion,[],[f21034]) ).
cnf(s2220,plain,
( ~ spl2_21
| ~ spl2_30
| spl2_212
| ~ spl2_264 ),
inference(sat_conversion,[],[f21219]) ).
cnf(s2221,plain,
( ~ spl2_209
| spl2_312
| ~ spl2_426 ),
inference(sat_conversion,[],[f21220]) ).
cnf(s2229,plain,
( spl2_27
| spl2_30
| spl2_34
| spl2_35 ),
inference(sat_conversion,[],[f21243]) ).
cnf(s2233,plain,
( ~ spl2_44
| ~ spl2_190
| ~ spl2_289 ),
inference(sat_conversion,[],[f21278]) ).
cnf(s2252,plain,
( ~ spl2_245
| ~ spl2_387
| ~ spl2_411 ),
inference(sat_conversion,[],[f21460]) ).
cnf(s2254,plain,
( ~ spl2_99
| ~ spl2_377
| ~ spl2_387
| spl2_411 ),
inference(sat_conversion,[],[f21511]) ).
cnf(s2255,plain,
( ~ spl2_99
| ~ spl2_212
| ~ spl2_231
| spl2_286 ),
inference(sat_conversion,[],[f21512]) ).
cnf(s2258,plain,
( ~ spl2_4
| ~ spl2_173
| spl2_194
| spl2_205
| spl2_312 ),
inference(sat_conversion,[],[f21515]) ).
cnf(s2259,plain,
( spl2_163
| spl2_194
| spl2_205
| spl2_212 ),
inference(sat_conversion,[],[f21516]) ).
cnf(s2261,plain,
( spl2_163
| spl2_192
| spl2_205
| spl2_212 ),
inference(sat_conversion,[],[f21518]) ).
cnf(s2262,plain,
( ~ spl2_4
| spl2_163
| spl2_194
| spl2_205
| spl2_312 ),
inference(sat_conversion,[],[f21519]) ).
cnf(s2290,plain,
( spl2_210
| spl2_231
| spl2_300 ),
inference(sat_conversion,[],[f21684]) ).
cnf(s2294,plain,
( spl2_46
| spl2_300
| ~ spl2_324 ),
inference(sat_conversion,[],[f21711]) ).
cnf(s2317,plain,
( spl2_231
| spl2_387
| ~ spl2_407 ),
inference(sat_conversion,[],[f21919]) ).
cnf(s2334,plain,
( ~ spl2_7
| spl2_102
| ~ spl2_198
| ~ spl2_280 ),
inference(sat_conversion,[],[f22081]) ).
cnf(s2336,plain,
( ~ spl2_174
| ~ spl2_372
| ~ spl2_382
| spl2_419 ),
inference(sat_conversion,[],[f22157]) ).
cnf(s2339,plain,
( ~ spl2_198
| ~ spl2_372
| ~ spl2_419 ),
inference(sat_conversion,[],[f22184]) ).
cnf(s2343,plain,
( ~ spl2_174
| ~ spl2_372
| ~ spl2_382
| spl2_419 ),
inference(sat_conversion,[],[f22189]) ).
cnf(s2368,plain,
( spl2_20
| ~ spl2_172
| ~ spl2_198
| spl2_327 ),
inference(sat_conversion,[],[f22388]) ).
cnf(s2374,plain,
( ~ spl2_4
| spl2_221
| ~ spl2_252
| ~ spl2_327 ),
inference(sat_conversion,[],[f22423]) ).
cnf(s2400,plain,
( ~ spl2_141
| spl2_229
| ~ spl2_264
| spl2_454 ),
inference(sat_conversion,[],[f22685]) ).
cnf(s2402,plain,
( ~ spl2_51
| ~ spl2_264
| ~ spl2_454 ),
inference(sat_conversion,[],[f22705]) ).
cnf(s2405,plain,
( ~ spl2_51
| ~ spl2_229
| ~ spl2_264 ),
inference(sat_conversion,[],[f22734]) ).
cnf(s2423,plain,
( ~ spl2_231
| ~ spl2_264
| ~ spl2_387
| ~ spl2_406 ),
inference(sat_conversion,[],[f23026]) ).
cnf(s2430,plain,
( ~ spl2_196
| ~ spl2_190
| spl2_226 ),
inference(rat,[],[s626,s648]) ).
cnf(s2431,plain,
( ~ spl2_193
| spl2_196
| spl2_172
| spl2_214
| ~ spl2_74 ),
inference(rat,[],[s982,s1023,s990]) ).
cnf(s2436,plain,
( ~ spl2_190
| spl2_68
| ~ spl2_193
| spl2_214
| ~ spl2_74
| ~ spl2_30
| spl2_226 ),
inference(rat,[],[s2431,s1040,s2430,s1041]) ).
cnf(s2438,plain,
( ~ spl2_190
| ~ spl2_68
| ~ spl2_44
| ~ spl2_30
| ~ spl2_21
| spl2_16
| ~ spl2_285 ),
inference(rat,[],[s1508,s960,s866,s674,s2233]) ).
cnf(s2441,plain,
( ~ spl2_231
| ~ spl2_201
| ~ spl2_192
| ~ spl2_99
| ~ spl2_74
| ~ spl2_118 ),
inference(rat,[],[s784,s1900,s2024,s1032,s2255,s1091,s982]) ).
cnf(s2442,plain,
( ~ spl2_163
| ~ spl2_194
| ~ spl2_212
| ~ spl2_192
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1748,s1636,s1751,s1508,s1651,s960,s837,s1169,s972]) ).
cnf(s2443,plain,
( ~ spl2_264
| ~ spl2_312
| ~ spl2_362
| ~ spl2_44 ),
inference(rat,[],[s1642,s1658]) ).
cnf(s2444,plain,
( spl2_382
| ~ spl2_312
| spl2_257
| ~ spl2_362
| spl2_205
| spl2_7 ),
inference(rat,[],[s2046,s2038,s2169,s2044,s1846,s1986]) ).
cnf(s2445,plain,
( spl2_196
| ~ spl2_212
| ~ spl2_300
| ~ spl2_192
| spl2_204
| spl2_205
| ~ spl2_74
| ~ spl2_21
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1435,s1832,s1866,s1843,s2444,s1090,s766,s813,s1323,s1290,s1631,s2442,s2172,s1037,s1409]) ).
cnf(s2446,plain,
( ~ spl2_212
| ~ spl2_201
| ~ spl2_192
| ~ spl2_99
| spl2_204
| spl2_205
| ~ spl2_74
| ~ spl2_21
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s784,s1900,s1789,s960,s1326,s1634,s1574,s2445,s972,s2290,s643,s2441,s203]) ).
cnf(s2448,plain,
( ~ spl2_190
| ~ spl2_212
| ~ spl2_193
| spl2_34
| ~ spl2_44
| spl2_226
| spl2_16
| ~ spl2_4 ),
inference(rat,[],[s960,s1900,s1901,s784,s2024,s2255,s2199,s1023,s682,s2430,s2233,s155]) ).
cnf(s2453,plain,
( spl2_201
| spl2_205
| spl2_46
| spl2_226 ),
inference(rat,[],[s2199,s682,s2430,s2174]) ).
cnf(s2455,plain,
( ~ spl2_214
| ~ spl2_231
| spl2_55
| ~ spl2_31
| spl2_14 ),
inference(rat,[],[s1079,s1940,s1598,s1601,s607]) ).
cnf(s2457,plain,
( ~ spl2_231
| ~ spl2_212
| ~ spl2_192
| ~ spl2_201
| ~ spl2_99 ),
inference(rat,[],[s784,s1900,s2024,s1032,s2255]) ).
cnf(s2458,plain,
( ~ spl2_212
| ~ spl2_192
| ~ spl2_201
| spl2_205
| ~ spl2_99
| ~ spl2_153
| ~ spl2_21
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1326,s1789,s784,s1037,s1900,s2172,s960,s2442,s1290,s1010,s1373,s2290,s643,s2457,s972]) ).
cnf(s2463,plain,
( spl2_192
| ~ spl2_190
| spl2_205
| spl2_34
| ~ spl2_44
| spl2_226
| spl2_16
| ~ spl2_4 ),
inference(rat,[],[s960,s2170,s584,s2448,s531,s2233]) ).
cnf(s2466,plain,
( ~ spl2_190
| ~ spl2_198
| spl2_226
| spl2_214
| ~ spl2_74
| ~ spl2_193
| ~ spl2_30 ),
inference(rat,[],[s674,s2436]) ).
cnf(s2467,plain,
( spl2_226
| spl2_214
| spl2_204
| spl2_44
| ~ spl2_362
| spl2_34
| ~ spl2_193
| spl2_46
| spl2_205
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1843,s2444,s1832,s1090,s1435,s766,s1996,s813,s960,s2374,s1948,s1132,s2466,s2368,s1574,s2063,s990,s2082,s982,s1021,s2453,s6,s11,s1415,s1604,s125,s1621,s1187,s44,s121,s191,s2154]) ).
cnf(s2468,plain,
( spl2_44
| ~ spl2_212
| spl2_34
| ~ spl2_193
| spl2_27
| spl2_205
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2046,s2038,s2169,s1238,s2041,s763,s1435,s1010,s784,s1996,s2063,s2001,s960,s2000,s1509,s2467,s1621,s1415,s1187,s1602,s1604,s896,s44,s121,s2154,s125,s191,s1169,s6,s11,s1363,s352,s1988,s2178,s1409]) ).
cnf(s2469,plain,
( spl2_226
| ~ spl2_44
| ~ spl2_212
| spl2_34
| spl2_192
| spl2_27
| spl2_205
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1945,s1081,s1751,s2455,s2443,s2155,s1388,s2024,s1861,s2255,s2173,s1021,s2463,s2453,s1199,s915,s19,s1363,s352,s1988,s2178,s2183,s1409,s155]) ).
cnf(s2470,plain,
( ~ spl2_190
| ~ spl2_226
| ~ spl2_44
| spl2_34
| spl2_55
| spl2_205
| ~ spl2_30
| ~ spl2_21
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1326,s1789,s832,s2155,s2058,s1040,s1509,s1041,s960,s908,s2438,s866,s2142,s2233,s19,s1169,s155]) ).
cnf(s2471,plain,
( ~ spl2_212
| spl2_34
| spl2_192
| spl2_27
| spl2_205
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1945,s1079,s1751,s2155,s2443,s2024,s1388,s2255,s1861,s1021,s2173,s2174,s2470,s2469,s155,s2468,s1409,s16,s142,s191,s1363,s352,s1988,s2178,s2183]) ).
cnf(s2472,plain,
( spl2_212
| spl2_192
| spl2_205
| ~ spl2_30
| ~ spl2_21
| spl2_16
| ~ spl2_4 ),
inference(rat,[],[s2233,s2173,s227,s1861,s1792,s960,s1388,s2261,s2170,s2220,s1988,s2178,s2183]) ).
cnf(s2473,plain,
( ~ spl2_34
| ~ spl2_30
| spl2_14 ),
inference(rat,[],[s920,s1940,s421,s432,s436,s456]) ).
cnf(s2474,plain,
( spl2_192
| spl2_27
| spl2_205
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2471,s2472,s16,s142,s191,s2473,s915,s19]) ).
cnf(s2475,plain,
( spl2_44
| ~ spl2_212
| ~ spl2_192
| spl2_205
| spl2_34
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2004,s1252,s656,s660,s2430,s1632,s1509,s1948,s1274,s2172,s960,s2442,s1415,s1604,s121,s2154,s125,s191,s1169,s972]) ).
cnf(s2476,plain,
( ~ spl2_201
| ~ spl2_212
| spl2_27
| spl2_205
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s908,s2446,s918,s100,s777,s2458,s11,s16,s142,s191,s1363,s155,s2475,s2474,s2473,s915,s19]) ).
cnf(s2477,plain,
( ~ spl2_212
| spl2_27
| spl2_205
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2470,s2453,s2174,s2476,s2475,s16,s142,s191,s2473,s915,s19,s1363,s352,s2474]) ).
cnf(s2478,plain,
( ~ spl2_190
| spl2_226
| ~ spl2_44
| ~ spl2_300
| ~ spl2_163
| ~ spl2_234
| ~ spl2_192
| spl2_205
| spl2_16
| ~ spl2_285 ),
inference(rat,[],[s1748,s1636,s2172,s1508,s1037,s960,s2430,s2233]) ).
cnf(s2479,plain,
( ~ spl2_74
| ~ spl2_201
| spl2_27
| spl2_205
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1163,s967,s1636,s960,s1748,s969,s1294,s2172,s1089,s1037,s766,s1307,s813,s848,s1323,s908,s1523,s1239,s918,s1183,s1169,s6,s11,s1363,s1752,s1708,s1290,s1669,s2474,s2294,s352,s1311,s227,s1792,s1388,s2220,s16,s142,s191,s2477]) ).
cnf(s2480,plain,
( spl2_226
| spl2_27
| spl2_205
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s666,s681,s2172,s1748,s1636,s619,s936,s100,s2479,s1861,s2173,s2478,s2453,s1169,s2473,s915,s19,s1752,s1290,s1669,s2474,s2294,s352,s227,s1792,s1388,s2220,s16,s142,s191,s2477]) ).
cnf(s2481,plain,
( spl2_27
| spl2_205
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s666,s681,s2172,s1748,s1636,s1508,s1861,s2001,s2173,s1756,s2470,s874,s2480,s227,s1792,s1388,s2220,s1752,s1796,s2477,s2474,s1363,s1169,s16,s142,s191,s2473,s915,s19]) ).
cnf(s2482,plain,
( ~ spl2_226
| ~ spl2_190
| ~ spl2_44
| spl2_205
| ~ spl2_30
| ~ spl2_21
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1354,s1360,s760,s1509,s2470,s1169,s2473,s915,s19,s960,s2233,s866]) ).
cnf(s2483,plain,
( spl2_205
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2442,s1752,s2172,s2478,s2004,s2290,s643,s2441,s100,s2199,s1660,s656,s682,s2430,s2463,s2482,s764,s1040,s1041,s2438,s866,s155,s2192,s463,s2481,s203,s1169,s6,s11,s16,s142,s191,s2473,s915,s19]) ).
cnf(s2484,plain,
( ~ spl2_51
| ~ spl2_205 ),
inference(rat,[],[s2430,s2142,s1909,s1917]) ).
cnf(s2485,plain,
( ~ spl2_30
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2255,s1091,s2024,s982,s1367,s100,s155,s757,s1353,s1354,s1365,s1919,s1925,s2484,s2483,s203]) ).
cnf(s2486,plain,
( ~ spl2_372
| ~ spl2_174
| ~ spl2_289
| ~ spl2_198
| spl2_7 ),
inference(rat,[],[s1846,s2343,s1996,s2339]) ).
cnf(s2487,plain,
( ~ spl2_371
| spl2_196
| ~ spl2_264
| ~ spl2_231
| ~ spl2_209
| spl2_205 ),
inference(rat,[],[s2423,s2169,s1832,s2041]) ).
cnf(s2488,plain,
( ~ spl2_51
| ~ spl2_264 ),
inference(rat,[],[s2400,s2402,s2405,s359]) ).
cnf(s2489,plain,
( spl2_226
| spl2_192
| spl2_27
| spl2_205
| spl2_30
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1326,s1789,s2487,s1435,s908,s2488,s2486,s2155,s1079,s1945,s1040,s1388,s960,s540,s1664,s1861,s1021,s2261,s2170,s1752,s2173,s2453,s2469,s2463,s6,s11,s754,s230,s75,s22,s155,s146,s1363,s1988,s2178,s2183]) ).
cnf(s2490,plain,
( ~ spl2_31
| spl2_289
| ~ spl2_226
| spl2_16
| ~ spl2_285
| ~ spl2_10 ),
inference(rat,[],[s960,s1509,s1505]) ).
cnf(s2491,plain,
( ~ spl2_163
| ~ spl2_300
| ~ spl2_312
| ~ spl2_245
| ~ spl2_212
| spl2_205
| ~ spl2_99
| spl2_16 ),
inference(rat,[],[s1326,s1789,s1037,s2172,s1651,s837]) ).
cnf(s2493,plain,
( ~ spl2_231
| ~ spl2_245
| ~ spl2_212
| ~ spl2_99 ),
inference(rat,[],[s2024,s2255]) ).
cnf(s2494,plain,
( ~ spl2_372
| spl2_163
| ~ spl2_226
| spl2_30
| ~ spl2_21 ),
inference(rat,[],[s1986,s1894,s1866,s1468]) ).
cnf(s2495,plain,
( ~ spl2_190
| ~ spl2_212
| ~ spl2_226
| ~ spl2_209
| spl2_55
| spl2_205
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2046,s2038,s2169,s2041,s1836,s1435,s2494,s2491,s2294,s1388,s2443,s2221,s2059,s2001,s2155,s2490,s908,s2142,s2233,s1169,s16,s142,s191,s754,s155,s146,s2485,s1409]) ).
cnf(s2496,plain,
( ~ spl2_212
| ~ spl2_226
| ~ spl2_193
| spl2_55
| spl2_205
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2155,s2000,s2493,s540,s1021,s2173,s2174,s2495,s6,s11,s754,s230,s155,s146,s2485,s1988,s2178]) ).
cnf(s2497,plain,
( spl2_192
| spl2_27
| spl2_205
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s540,s2173,s2000,s2233,s2155,s960,s2001,s2261,s2170,s2496,s2489,s2183,s6,s11,s230,s146,s2485,s1363]) ).
cnf(s2499,plain,
( ~ spl2_191
| spl2_327
| ~ spl2_52
| spl2_20
| ~ spl2_12 ),
inference(rat,[],[s2368,s540,s1664]) ).
cnf(s2500,plain,
( spl2_226
| ~ spl2_192
| spl2_205
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2368,s764,s1508,s1663,s960,s2430,s2233,s2173,s2499,s1290,s1291,s1669,s2458,s2453,s1169,s6,s11,s16,s142,s191,s2070,s230,s754,s155,s146,s2485]) ).
cnf(s2501,plain,
( spl2_27
| spl2_205
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1326,s1789,s832,s2368,s1508,s2155,s908,s960,s2490,s2142,s2233,s2173,s2499,s1290,s1291,s1010,s1373,s874,s2500,s2497,s2229,s1363,s1169,s6,s11,s16,s142,s191,s2070,s230,s754,s75,s22,s155,s146,s2485]) ).
cnf(s2502,plain,
( spl2_226
| spl2_205
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2500,s2463,s146,s75,s22,s2485,s2192,s2501]) ).
cnf(s2503,plain,
( spl2_192
| spl2_205
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2496,s2170,s2183,s1360,s1354,s754,s2001,s2155,s2490,s2233,s2192,s2501,s146,s2485,s1169,s142,s2502]) ).
cnf(s2504,plain,
( spl2_205
| spl2_20
| spl2_16
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1326,s1789,s832,s1040,s1290,s1180,s794,s2209,s874,s2503,s1508,s2001,s902,s1340,s2155,s1354,s2058,s1600,s2490,s2142,s2502,s2233,s2192,s2501,s19,s1169,s16,s142,s191,s230,s75,s22,s155,s146,s2485]) ).
cnf(s2505,plain,
( spl2_20
| spl2_16
| ~ spl2_4
| spl2_7 ),
inference(rat,[],[s1908,s2484,s2504,s22,s230,s2485]) ).
cnf(s2506,plain,
( spl2_212
| ~ spl2_20
| spl2_7 ),
inference(rat,[],[s1729,s1669,s1752]) ).
cnf(s2508,plain,
( ~ spl2_34
| spl2_14 ),
inference(rat,[],[s75,s22,s2473]) ).
cnf(s2509,plain,
( spl2_31
| ~ spl2_20
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1729,s1010,s1412,s1373,s2290,s643,s2493,s2155,s777,s936,s11,s2508,s915,s19,s155,s133,s191,s142,s2506]) ).
cnf(s2510,plain,
( spl2_234
| ~ spl2_20
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1388,s2443,s1577,s1751,s6,s11,s133,s191,s142,s1409,s2506,s230,s109,s2509]) ).
cnf(s2511,plain,
( ~ spl2_20
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1945,s1079,s1388,s1373,s1793,s1010,s1729,s2510,s2070,s230,s754,s109,s2509]) ).
cnf(s2512,plain,
( spl2_44
| ~ spl2_193
| spl2_226
| spl2_205
| ~ spl2_30
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2466,s1948,s1508,s1061,s1415,s1604,s1602,s123,s2154,s125,s1365,s1169,s2508,s915,s19,s2505,s2511]) ).
cnf(s2513,plain,
( ~ spl2_193
| spl2_226
| spl2_205
| ~ spl2_30
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s352,s2192,s2453,s2466,s1900,s1508,s1061,s1595,s1257,s918,s1187,s100,s65,s2155,s1266,s784,s1353,s1320,s2512,s1169,s2505,s2511]) ).
cnf(s2514,plain,
( spl2_44
| spl2_226
| spl2_205
| ~ spl2_30
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1950,s1696,s1279,s1089,s1652,s766,s2172,s813,s2004,s2024,s2055,s656,s784,s2430,s946,s1900,s1948,s1409,s857,s1061,s1218,s1415,s908,s1187,s2453,s1604,s918,s65,s352,s123,s2154,s43,s125,s463,s1365,s1169,s2508,s915,s19,s16,s142,s191,s2505,s2511,s2183,s2513]) ).
cnf(s2515,plain,
( spl2_201
| spl2_226
| spl2_205 ),
inference(rat,[],[s2199,s682,s2430,s2173,s1201,s2453]) ).
cnf(s2516,plain,
( spl2_226
| spl2_205
| ~ spl2_30
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2515,s1900,s1061,s1257,s1187,s100,s65,s2155,s1266,s784,s1320,s2514,s2505,s2511]) ).
cnf(s2517,plain,
( ~ spl2_31
| ~ spl2_226
| ~ spl2_16
| ~ spl2_285
| ~ spl2_10 ),
inference(rat,[],[s1061,s1509,s1505]) ).
cnf(s2518,plain,
( spl2_31
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1320,s2155,s2154,s2505,s2511]) ).
cnf(s2519,plain,
( spl2_192
| spl2_205
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1945,s1081,s1751,s2443,s1388,s2455,s1861,s1409,s1021,s1988,s2178,s2261,s2183,s1199,s1360,s1353,s754,s2173,s2430,s1901,s1061,s1900,s784,s2515,s2508,s915,s19,s1320,s146,s2516,s2517,s2518,s2505,s2511,s1169,s142]) ).
cnf(s2520,plain,
( spl2_205
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2457,s1373,s1091,s1010,s1290,s2519,s1061,s1900,s784,s155,s1320,s2070,s146,s230,s754,s2515,s2516,s203,s16,s191,s2517,s2518,s2505,s2511,s1169,s142]) ).
cnf(s2521,plain,
( spl2_20
| spl2_7
| ~ spl2_4 ),
inference(rat,[],[s1320,s1353,s1365,s1919,s1925,s2484,s2520,s2505]) ).
cnf(s2522,plain,
( spl2_7
| ~ spl2_4 ),
inference(rat,[],[s2521,s2511]) ).
cnf(s2523,plain,
( ~ spl2_74
| ~ spl2_193
| spl2_226
| ~ spl2_30
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2466,s1132,s1474,s1274,s960,s1996,s1435,s2487,s1388,s2294,s1037,s2172,s1651,s1090,s837,s1621,s766,s1668,s1192,s813,s995,s1059,s1630,s1574,s989,s908,s982,s1602,s918,s209,s2522,s1365,s352,s463,s65,s43,s1988,s2178,s1021,s2515]) ).
cnf(s2524,plain,
( spl2_260
| spl2_34
| ~ spl2_198
| ~ spl2_231
| spl2_192
| ~ spl2_30
| spl2_44
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1040,s989,s1041,s981,s674,s1382,s1948,s2170,s2522,s456,s2183]) ).
cnf(s2525,plain,
( spl2_192
| spl2_226
| ~ spl2_30
| spl2_20
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2430,s690,s1630,s960,s2524,s2508,s413,s1693,s6,s619,s268,s25,s347,s100,s2523,s1021,s2183,s2522,s352,s463,s2515]) ).
cnf(s2526,plain,
( spl2_260
| ~ spl2_280
| spl2_204
| ~ spl2_74
| ~ spl2_31
| ~ spl2_201
| ~ spl2_7 ),
inference(rat,[],[s995,s1477,s816,s1000,s784,s1900]) ).
cnf(s2528,plain,
( ~ spl2_163
| spl2_204
| ~ spl2_74
| ~ spl2_31
| ~ spl2_192
| ~ spl2_201
| ~ spl2_45
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s967,s2172,s1163,s2003,s6,s764,s269,s1059,s781,s1192,s1237,s1218,s972,s1693,s968,s960,s2526,s857,s209,s2522]) ).
cnf(s2529,plain,
( spl2_163
| spl2_226
| spl2_44
| spl2_205 ),
inference(rat,[],[s2430,s2173,s1630,s1209,s227,s352,s463]) ).
cnf(s2530,plain,
( ~ spl2_31
| spl2_226
| ~ spl2_30
| spl2_20
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s908,s2528,s918,s100,s1365,s65,s43,s2515,s2525,s2529]) ).
cnf(s2531,plain,
( spl2_226
| ~ spl2_30
| spl2_20
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1040,s764,s1041,s1660,s674,s2430,s1948,s2508,s960,s413,s1693,s6,s619,s268,s25,s347,s2530,s2529,s2515,s2522]) ).
cnf(s2532,plain,
( ~ spl2_193
| spl2_255
| spl2_198
| ~ spl2_74
| ~ spl2_31
| ~ spl2_12
| ~ spl2_38
| ~ spl2_7 ),
inference(rat,[],[s784,s1000,s1038,s1411,s2290,s1409,s982,s1239,s1010,s2061,s2063,s1988,s2178,s671]) ).
cnf(s2533,plain,
( ~ spl2_163
| ~ spl2_212
| ~ spl2_192
| spl2_204
| ~ spl2_74
| ~ spl2_31
| ~ spl2_226
| spl2_16
| spl2_205
| ~ spl2_119 ),
inference(rat,[],[s2172,s1651,s2003,s1324,s764,s784,s2084,s1059,s816,s995,s1475,s960,s946,s837,s857,s2290,s643,s874,s972]) ).
cnf(s2534,plain,
( ~ spl2_257
| ~ spl2_252
| ~ spl2_212
| ~ spl2_119 ),
inference(rat,[],[s2084,s1015]) ).
cnf(s2535,plain,
( ~ spl2_264
| ~ spl2_194
| ~ spl2_190
| ~ spl2_192 ),
inference(rat,[],[s1385,s1643]) ).
cnf(s2536,plain,
( spl2_387
| ~ spl2_312
| ~ spl2_362
| spl2_231
| spl2_44
| spl2_205 ),
inference(rat,[],[s2046,s2038,s2169,s1560,s2317,s352,s463]) ).
cnf(s2537,plain,
( ~ spl2_31
| ~ spl2_30
| spl2_20
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1435,s1490,s1468,s1843,s2536,s1324,s784,s816,s1574,s1576,s1630,s1415,s2533,s1409,s2290,s2085,s643,s874,s2183,s2532,s1342,s908,s918,s2000,s100,s209,s2522,s1365,s125,s352,s463,s6,s268,s875,s2531]) ).
cnf(s2539,plain,
( spl2_231
| ~ spl2_212
| spl2_210
| ~ spl2_153
| ~ spl2_32
| ~ spl2_12
| ~ spl2_30
| spl2_20
| spl2_44
| ~ spl2_4 ),
inference(rat,[],[s1089,s944,s766,s1950,s1696,s813,s1970,s2534,s1411,s1010,s1412,s1373,s2290,s209,s2522,s1409,s896]) ).
cnf(s2540,plain,
( ~ spl2_212
| ~ spl2_280
| spl2_192
| ~ spl2_153
| ~ spl2_32
| spl2_34
| ~ spl2_12
| ~ spl2_30
| spl2_20
| spl2_44
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s939,s2524,s2334,s996,s1010,s981,s2539,s1382,s2522,s456,s2178,s2183]) ).
cnf(s2541,plain,
( ~ spl2_372
| ~ spl2_289
| ~ spl2_226
| spl2_44 ),
inference(rat,[],[s1555,s1468,s1996]) ).
cnf(s2542,plain,
( ~ spl2_163
| spl2_192
| ~ spl2_30
| spl2_20
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2140,s2169,s1490,s2041,s1435,s2541,s2061,s989,s908,s671,s1059,s2488,s1693,s775,s1388,s960,s2001,s1792,s2170,s2540,s857,s209,s2522,s1365,s227,s25,s777,s2537,s2508,s413,s6,s268,s875,s2531,s1988,s2178,s2183]) ).
cnf(s2543,plain,
( spl2_192
| ~ spl2_30
| spl2_20
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1041,s674,s1040,s996,s989,s1010,s981,s2539,s1382,s690,s2261,s2542,s2178,s2183,s2522,s456,s25,s777,s2537,s2508,s413,s6,s268,s875,s2531]) ).
cnf(s2544,plain,
( ~ spl2_30
| spl2_20
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2488,s908,s1388,s2085,s1792,s2539,s643,s874,s2543,s777,s25,s2537,s2508,s413,s6,s268,s875,s2531,s1365,s227]) ).
cnf(s2545,plain,
( spl2_226
| ~ spl2_252
| spl2_30
| spl2_44
| spl2_205
| ~ spl2_119 ),
inference(rat,[],[s2430,s2173,s1663,s1664,s764,s1059,s2529,s230]) ).
cnf(s2546,plain,
( ~ spl2_163
| spl2_192
| spl2_20
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2140,s2169,s1490,s2041,s2061,s1435,s671,s2541,s1693,s908,s960,s2142,s2170,s2173,s2534,s1664,s989,s1059,s1365,s2545,s1952,s230,s227,s2544,s209,s2522,s1988,s2178,s2183]) ).
cnf(s2547,plain,
( ~ spl2_372
| ~ spl2_174
| ~ spl2_198
| ~ spl2_226
| spl2_30 ),
inference(rat,[],[s1984,s2343,s1894,s2339,s1468]) ).
cnf(s2549,plain,
( spl2_192
| spl2_20
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1986,s1894,s1487,s2423,s1838,s2169,s2041,s1435,s2547,s1388,s1040,s996,s1373,s1793,s989,s1010,s2534,s2261,s552,s640,s2546,s1988,s2178,s2183,s2070,s352,s463,s6,s268,s875,s2545,s1952,s230,s227,s2544,s209,s2522]) ).
cnf(s2550,plain,
( spl2_20
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2142,s908,s2173,s2085,s2499,s2534,s1291,s1010,s1373,s874,s2549,s6,s268,s875,s2545,s1952,s2070,s230,s2544,s209,s2522,s1365,s227,s352,s463]) ).
cnf(s2551,plain,
( spl2_226
| spl2_31
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2430,s1660,s1948,s764,s960,s1728,s1693,s619,s2529,s2515,s2522,s2550,s25,s2508,s413,s6,s268,s347]) ).
cnf(s2552,plain,
( spl2_198
| ~ spl2_193
| ~ spl2_12
| ~ spl2_20 ),
inference(rat,[],[s1729,s1010,s2061,s2063,s671,s1988,s2178]) ).
cnf(s2553,plain,
( spl2_192
| ~ spl2_163
| ~ spl2_30
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1412,s2290,s1729,s2524,s989,s960,s1728,s1693,s2552,s2178,s2183,s2522,s25,s2508,s413,s6,s268,s347,s109,s2550]) ).
cnf(s2554,plain,
( spl2_231
| spl2_31
| ~ spl2_20 ),
inference(rat,[],[s1729,s1010,s1412,s1373,s2290,s643,s25,s777,s2508,s413,s6,s268,s347]) ).
cnf(s2555,plain,
( ~ spl2_30
| spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s981,s989,s1382,s1728,s2261,s2552,s2553,s2183,s874,s2554,s2551,s6,s268,s347,s109,s456,s2522,s2550]) ).
cnf(s2556,plain,
( spl2_44
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s875,s17,s2545,s173,s1952,s192,s434,s230,s2555,s2550,s43,s126,s227,s209,s2522]) ).
cnf(s2557,plain,
( ~ spl2_259
| ~ spl2_163
| spl2_192
| ~ spl2_201
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1693,s619,s960,s25,s2170,s1033,s1382,s2522,s1021,s2183]) ).
cnf(s2558,plain,
( spl2_257
| ~ spl2_193
| ~ spl2_30
| ~ spl2_44
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1861,s2173,s1388,s1041,s2443,s1409,s1040,s1090,s1668,s989,s343,s766,s813,s1249,s1626,s209,s2522,s1988,s2178]) ).
cnf(s2559,plain,
( spl2_192
| ~ spl2_201
| ~ spl2_30
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2261,s2557,s1382,s980,s2558,s1021,s2183,s2522,s2556,s456]) ).
cnf(s2560,plain,
( ~ spl2_212
| ~ spl2_257
| ~ spl2_163
| ~ spl2_192
| ~ spl2_201
| ~ spl2_244
| ~ spl2_253
| spl2_51
| spl2_20
| ~ spl2_99
| spl2_16
| ~ spl2_7 ),
inference(rat,[],[s268,s934,s6,s1477,s944,s902,s1089,s784,s757,s1294,s1900,s1367,s960,s2457,s972,s766,s857]) ).
cnf(s2561,plain,
( ~ spl2_231
| ~ spl2_257
| ~ spl2_192
| ~ spl2_201
| ~ spl2_118
| ~ spl2_30
| spl2_20
| ~ spl2_99 ),
inference(rat,[],[s619,s25,s2209,s100,s980,s2441,s456]) ).
cnf(s2562,plain,
( ~ spl2_31
| ~ spl2_245
| ~ spl2_30
| ~ spl2_138
| ~ spl2_7 ),
inference(rat,[],[s1000,s1406]) ).
cnf(s2563,plain,
( ~ spl2_257
| ~ spl2_163
| ~ spl2_192
| ~ spl2_201
| ~ spl2_118
| ~ spl2_244
| ~ spl2_253
| spl2_51
| ~ spl2_30
| spl2_20
| ~ spl2_99
| ~ spl2_138
| spl2_16
| ~ spl2_4 ),
inference(rat,[],[s1294,s1089,s960,s944,s1693,s6,s619,s268,s25,s347,s2562,s1756,s2561,s1796,s2560,s2522,s766]) ).
cnf(s2564,plain,
( ~ spl2_163
| ~ spl2_201
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s784,s2491,s1900,s2290,s960,s2457,s972,s1090,s1668,s977,s2563,s342,s155,s920,s343,s456,s995,s1173,s766,s813,s1249,s1626,s2556,s209,s2522,s2559]) ).
cnf(s2565,plain,
( ~ spl2_257
| ~ spl2_172
| spl2_204
| ~ spl2_192
| ~ spl2_201
| ~ spl2_30
| spl2_20
| ~ spl2_44
| ~ spl2_4 ),
inference(rat,[],[s2562,s25,s2086,s619,s1382,s2368,s1180,s2561,s1291,s342,s155,s1173,s1249,s1626,s209,s2522,s1040]) ).
cnf(s2566,plain,
( ~ spl2_201
| ~ spl2_30
| spl2_20
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1970,s1411,s1412,s25,s2562,s784,s1900,s1265,s1279,s2172,s2205,s1861,s1388,s2290,s2443,s2457,s1409,s1090,s1668,s977,s2565,s2173,s1041,s1040,s1325,s552,s640,s2564,s2559,s343,s342,s155,s766,s813,s1249,s1626,s2556,s209,s2522]) ).
cnf(s2567,plain,
( ~ spl2_231
| ~ spl2_257
| spl2_192
| ~ spl2_226
| spl2_252
| ~ spl2_171
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s775,s2001,s777,s2170,s1033,s1382,s980,s2522,s2508,s913,s268,s875,s894]) ).
cnf(s2568,plain,
( spl2_245
| spl2_255
| ~ spl2_193
| ~ spl2_226
| spl2_252
| ~ spl2_30
| spl2_20
| ~ spl2_7 ),
inference(rat,[],[s2532,s2000,s100,s777,s775,s868,s889,s6,s2508,s913,s268,s875,s894]) ).
cnf(s2569,plain,
( spl2_192
| ~ spl2_226
| ~ spl2_30
| spl2_20
| ~ spl2_44
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1970,s1411,s1412,s1409,s2221,s25,s2170,s2059,s2562,s2001,s2568,s1341,s757,s2290,s1367,s2567,s2558,s1988,s2178,s2183,s342,s456,s1249,s1626,s209,s2522]) ).
cnf(s2570,plain,
( ~ spl2_257
| spl2_204
| ~ spl2_192
| ~ spl2_313
| ~ spl2_226
| ~ spl2_4 ),
inference(rat,[],[s1015,s2086,s1032,s2001,s1294,s209,s2522,s874]) ).
cnf(s2571,plain,
( ~ spl2_30
| spl2_20
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1811,s1523,s2533,s1186,s2562,s100,s777,s1373,s1668,s1010,s2570,s902,s757,s1367,s874,s2569,s1089,s2508,s944,s913,s6,s268,s875,s2515,s2566,s766,s813,s894,s1249,s920,s1626,s456,s209,s343,s2522,s342,s2556]) ).
cnf(s2572,plain,
( ~ spl2_212
| ~ spl2_257
| ~ spl2_231
| ~ spl2_153
| ~ spl2_99
| ~ spl2_119 ),
inference(rat,[],[s775,s2493,s2534]) ).
cnf(s2573,plain,
( spl2_212
| spl2_289
| spl2_192
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s960,s2261,s2170]) ).
cnf(s2574,plain,
( spl2_226
| spl2_192
| spl2_30
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1207,s1385,s2262,s1901,s1059,s763,s775,s784,s2443,s2493,s1409,s2573,s1693,s1130,s901,s2488,s1388,s1861,s1664,s2173,s1021,s2463,s2515,s209,s2522,s155,s2556,s2070,s230,s754,s710,s75,s22,s1988,s2178,s2183]) ).
cnf(s2575,plain,
( ~ spl2_212
| ~ spl2_231
| ~ spl2_193
| spl2_30
| ~ spl2_44
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1207,s1385,s2258,s2443,s1901,s916,s1388,s1059,s763,s989,s1793,s775,s784,s2572,s2493,s1409,s209,s2522,s155,s2070,s230,s754,s75,s22]) ).
cnf(s2576,plain,
( ~ spl2_289
| ~ spl2_12
| ~ spl2_52
| ~ spl2_44
| spl2_205
| ~ spl2_7 ),
inference(rat,[],[s2173,s540,s2233,s1693]) ).
cnf(s2577,plain,
( spl2_192
| spl2_30
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1970,s1411,s1412,s25,s2221,s1509,s2059,s2001,s944,s775,s813,s2534,s1010,s1373,s2290,s2575,s1409,s2573,s2576,s6,s268,s875,s2574,s1988,s2178,s2183,s209,s2522,s2556,s2070,s230,s754]) ).
cnf(s2579,plain,
( ~ spl2_31
| ~ spl2_245
| ~ spl2_99
| ~ spl2_7 ),
inference(rat,[],[s1000,s1287]) ).
cnf(s2581,plain,
( spl2_172
| spl2_226
| spl2_30
| spl2_205 ),
inference(rat,[],[s2430,s2173,s1663,s1664,s764,s230]) ).
cnf(s2582,plain,
( ~ spl2_257
| ~ spl2_172
| ~ spl2_201
| ~ spl2_231
| ~ spl2_192
| spl2_20 ),
inference(rat,[],[s25,s1033,s619,s1180,s2368,s1291,s1040]) ).
cnf(s2585,plain,
( ~ spl2_422
| spl2_257
| ~ spl2_231
| spl2_30
| spl2_205 ),
inference(rat,[],[s2423,s2169,s1894,s2044,s1388,s1793,s230]) ).
cnf(s2586,plain,
( ~ spl2_372
| ~ spl2_382
| ~ spl2_198
| ~ spl2_174 ),
inference(rat,[],[s2336,s2339]) ).
cnf(s2587,plain,
( ~ spl2_231
| ~ spl2_192
| spl2_30
| spl2_20
| ~ spl2_99
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1435,s1838,s2586,s1487,s1986,s2585,s1130,s2535,s2259,s552,s640,s1388,s1059,s1793,s1668,s2582,s1040,s2581,s2457,s2515,s874,s209,s2522,s230,s710,s75,s22]) ).
cnf(s2588,plain,
( spl2_226
| ~ spl2_192
| spl2_30
| spl2_20
| ~ spl2_99
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1756,s2579,s1796,s25,s1382,s619,s1180,s2368,s1040,s2581,s2515,s2522,s1291,s1010,s1373,s2587,s2070,s230,s754]) ).
cnf(s2592,plain,
( ~ spl2_244
| spl2_313
| ~ spl2_12
| spl2_20 ),
inference(rat,[],[s1089,s944,s766]) ).
cnf(s2593,plain,
( ~ spl2_163
| ~ spl2_245
| ~ spl2_252
| spl2_30
| ~ spl2_99
| ~ spl2_119 ),
inference(rat,[],[s1789,s1326,s1663,s764,s1059]) ).
cnf(s2595,plain,
( spl2_387
| ~ spl2_234
| spl2_231
| spl2_30
| spl2_20
| spl2_205 ),
inference(rat,[],[s2140,s1986,s2169,s1894,s2317,s1010,s1373,s2070,s230,s754]) ).
cnf(s2596,plain,
( spl2_20
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1838,s1435,s2254,s1468,s2252,s2595,s1412,s640,s25,s2593,s2579,s2086,s2534,s813,s2592,s2570,s908,s2142,s2173,s2499,s6,s268,s875,s2588,s1291,s1360,s1010,s757,s1373,s2290,s643,s1367,s2587,s2577,s2070,s230,s754,s2571,s209,s2522,s155,s2556]) ).
cnf(s2597,plain,
( spl2_192
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2567,s2515,s1249,s2554,s2559,s1626,s109,s456,s2558,s2577,s2183,s209,s2522,s2556,s2596]) ).
cnf(s2598,plain,
( ~ spl2_30
| spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s980,s2209,s1668,s619,s2457,s2515,s874,s1249,s2554,s25,s1626,s109,s456,s209,s2522,s155,s2556,s2596,s2597]) ).
cnf(s2599,plain,
( ~ spl2_231
| spl2_30
| ~ spl2_192
| ~ spl2_20
| ~ spl2_44
| spl2_205
| ~ spl2_7 ),
inference(rat,[],[s2535,s1130,s2259,s901,s1059,s2488,s775,s1539,s2579,s1079,s25,s619,s1596,s1311,s1728,s2457,s2581,s2515,s874,s209,s343,s155,s2070,s230,s754,s710,s75,s22]) ).
cnf(s2600,plain,
( spl2_16
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1796,s2534,s1756,s775,s1010,s2579,s1373,s2554,s2599,s2070,s230,s754,s2598,s2597,s2596,s155,s2556,s209,s2522]) ).
cnf(s2601,plain,
( spl2_212
| spl2_192
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1061,s2261,s2170,s2600]) ).
cnf(s2602,plain,
( spl2_260
| ~ spl2_174
| spl2_44
| spl2_204
| ~ spl2_30
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1041,s674,s1132,s1474,s1274,s995,s1060,s2600,s2522]) ).
cnf(s2603,plain,
( spl2_257
| ~ spl2_30
| ~ spl2_193
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2552,s6,s674,s2568,s268,s1041,s2001,s875,s1132,s2529,s714,s1061,s2602,s1040,s989,s2558,s904,s1105,s1060,s2600,s2522]) ).
cnf(s2604,plain,
( spl2_20
| ~ spl2_30
| spl2_192
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2539,s777,s25,s1475,s896,s2001,s2569,s2568,s995,s1341,s2290,s2178,s757,s1367,s6,s2508,s913,s268,s875,s2515,s1021,s980,s2603,s1382,s2601,s456,s2183,s894,s1060,s2600,s2522]) ).
cnf(s2605,plain,
( ~ spl2_30
| spl2_192
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2554,s109,s2604,s980,s2603,s456,s2183,s1382,s2601,s2522]) ).
cnf(s2606,plain,
( spl2_30
| ~ spl2_8
| spl2_252
| ~ spl2_16 ),
inference(rat,[],[s775,s1320,s2070,s144,s230,s754]) ).
cnf(s2607,plain,
( ~ spl2_259
| ~ spl2_201
| ~ spl2_231
| ~ spl2_192 ),
inference(rat,[],[s619,s25,s2209,s1033]) ).
cnf(s2608,plain,
( ~ spl2_231
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2173,s1670,s660,s1061,s2529,s227,s155,s2457,s1252,s1668,s981,s2607,s2515,s874,s456,s446,s2605,s2606,s1168,s1060,s2522,s2600]) ).
cnf(s2609,plain,
( ~ spl2_163
| spl2_20
| ~ spl2_201
| ~ spl2_257
| ~ spl2_192
| ~ spl2_16
| ~ spl2_7 ),
inference(rat,[],[s858,s788,s2508,s268,s269,s888,s6,s2592,s784,s1294,s1900,s857,s1061,s813,s1060]) ).
cnf(s2610,plain,
( spl2_20
| spl2_226
| ~ spl2_257
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2565,s1325,s2529,s552,s2609,s2605,s2606,s1168,s1060,s2522,s2600,s2515]) ).
cnf(s2611,plain,
( ~ spl2_20
| spl2_231
| ~ spl2_30 ),
inference(rat,[],[s2554,s109]) ).
cnf(s2612,plain,
( ~ spl2_257
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s552,s1061,s2570,s1294,s2592,s6,s268,s875,s2610,s813,s2605,s2611,s2608,s2606,s1168,s1060,s2522,s2600]) ).
cnf(s2613,plain,
( ~ spl2_163
| ~ spl2_201
| ~ spl2_312
| spl2_204
| ~ spl2_300
| ~ spl2_16
| ~ spl2_7 ),
inference(rat,[],[s25,s1412,s1000,s1970,s784,s1477,s1900,s857,s1061,s995,s1060]) ).
cnf(s2614,plain,
( spl2_226
| spl2_205
| ~ spl2_4 ),
inference(rat,[],[s2172,s2205,s1279,s1861,s1265,s2173,s1900,s1041,s1388,s784,s1040,s2443,s343,s1320,s1325,s2529,s640,s2613,s2515,s2605,s2290,s643,s2608,s904,s2606,s1168,s1090,s766,s813,s1409,s1668,s2612,s1060,s2600,s2522]) ).
cnf(s2615,plain,
( spl2_205
| ~ spl2_4 ),
inference(rat,[],[s1523,s1811,s2001,s1061,s1186,s1475,s100,s777,s2508,s913,s268,s875,s2614,s1373,s904,s1010,s2612,s2611,s2608,s2606,s1168,s894,s995,s1060,s2600,s2522]) ).
cnf(s2616,plain,
~ spl2_4,
inference(rat,[],[s2579,s155,s1353,s1354,s1365,s1919,s1925,s2484,s2615,s2522]) ).
cnf(s2617,plain,
spl2_3,
inference(rat,[],[s770,s2616]) ).
cnf(s2619,plain,
~ spl2_226,
inference(rat,[],[s651,s2617]) ).
cnf(s2620,plain,
~ spl2_74,
inference(rat,[],[s111,s2617]) ).
cnf(s2621,plain,
( spl2_31
| ~ spl2_201 ),
inference(rat,[],[s155,s185,s2154,s191,s409,s407,s357,s350,s222,s353,s211,s410,s188,s1314,s684,s6,s619,s268,s25,s347,s2617,s238]) ).
cnf(s2622,plain,
( ~ spl2_30
| ~ spl2_31 ),
inference(rat,[],[s109,s100,s2620]) ).
cnf(s2623,plain,
( spl2_7
| ~ spl2_31 ),
inference(rat,[],[s155,s185,s1953,s11,s191,s188,s165,s230,s22,s2622,s2617]) ).
cnf(s2624,plain,
( spl2_15
| ~ spl2_11
| ~ spl2_7 ),
inference(rat,[],[s265,s8,s2617]) ).
cnf(s2625,plain,
~ spl2_31,
inference(rat,[],[s2624,s284,s1365,s6,s155,s367,s1287,s237,s2623,s211,s382,s22,s230,s2622,s188,s165,s272,s2617]) ).
cnf(s2626,plain,
~ spl2_53,
inference(rat,[],[s1354,s2625]) ).
cnf(s2629,plain,
~ spl2_201,
inference(rat,[],[s2621,s2625]) ).
cnf(s2633,plain,
spl2_205,
inference(rat,[],[s2515,s2619,s2629]) ).
cnf(s2636,plain,
~ spl2_51,
inference(rat,[],[s2484,s2633]) ).
cnf(s2637,plain,
$false,
inference(rat,[],[s1919,s2626,s2633,s2636]) ).
thf(f23038,plain,
$false,
inference(avatar_sat_refutation,[],[s2637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA100^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n014.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 18:57:00 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.39 % (3069034)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.66/0.39 % (3069040)lrs+10_16_si=on:nwc=1.5:random_seed=283632583:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.66/0.39 % (3069041)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=405032165:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.66/0.39 % (3069042)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=337909387:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.66/0.39 % (3069045)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.66/0.39 % (3069045)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.66/0.39 % (3069044)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=147616355:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.66/0.39 % (3069041)Instruction limit reached!
% 0.66/0.39 % (3069041)------------------------------
% 0.66/0.39 % (3069041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.39 % (3069041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.39 % (3069041)CaDiCaL version: 2.1.3
% 0.66/0.39 % (3069041)Termination reason: Instruction limit
% 0.66/0.39 % (3069041)Termination phase: Saturation
% 0.66/0.39 % (3069041)Time elapsed: 0.003 s
% 0.66/0.39 % (3069041)Peak memory usage: 12 MB
% 0.66/0.39 % (3069041)Instructions burned: 4 (million)
% 0.66/0.39 % (3069045)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=61647201:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.66/0.39 % (3069040)Instruction limit reached!
% 0.66/0.39 % (3069040)------------------------------
% 0.66/0.39 % (3069040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.39 % (3069040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.39 % (3069040)CaDiCaL version: 2.1.3
% 0.66/0.39 % (3069040)Termination reason: Instruction limit
% 0.66/0.39 % (3069040)Termination phase: Saturation
% 0.66/0.39 % (3069040)Time elapsed: 0.009 s
% 0.66/0.39 % (3069040)Peak memory usage: 12 MB
% 0.66/0.39 % (3069040)Instructions burned: 18 (million)
% 0.66/0.39 % (3069039)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2141599845:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.66/0.39 % (3069043)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1953197562:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.66/0.39 % (3069051)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2547353333:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.66/0.39 % (3069051)Instruction limit reached!
% 0.66/0.39 % (3069051)------------------------------
% 0.66/0.39 % (3069051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.39 % (3069051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.39 % (3069051)CaDiCaL version: 2.1.3
% 0.66/0.39 % (3069051)Termination reason: Instruction limit
% 0.66/0.39 % (3069051)Termination phase: Saturation
% 0.66/0.39 % (3069051)Time elapsed: 0.001 s
% 0.66/0.39 % (3069051)Peak memory usage: 11 MB
% 0.66/0.39 % (3069051)Instructions burned: 2 (million)
% 0.66/0.39 % (3069052)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3632543894:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.66/0.39 % (3069052)Instruction limit reached!
% 0.66/0.39 % (3069052)------------------------------
% 0.66/0.39 % (3069052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.39 % (3069052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.39 % (3069052)CaDiCaL version: 2.1.3
% 0.66/0.39 % (3069052)Termination reason: Instruction limit
% 0.66/0.39 % (3069052)Termination phase: Saturation
% 0.66/0.39 % (3069052)Time elapsed: 0.004 s
% 0.66/0.39 % (3069052)Peak memory usage: 12 MB
% 0.66/0.39 % (3069052)Instructions burned: 6 (million)
% 0.66/0.44 % (3069044)Instruction limit reached!
% 0.66/0.44 % (3069044)------------------------------
% 0.66/0.44 % (3069044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3069044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3069044)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3069044)Termination reason: Instruction limit
% 0.66/0.44 % (3069044)Termination phase: Saturation
% 0.66/0.44 % (3069044)Time elapsed: 0.036 s
% 0.66/0.44 % (3069044)Peak memory usage: 12 MB
% 0.66/0.44 % (3069044)Instructions burned: 75 (million)
% 0.66/0.44 % (3069056)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.44 % (3069043)Instruction limit reached!
% 0.66/0.44 % (3069043)------------------------------
% 0.66/0.44 % (3069043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3069043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3069043)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3069043)Termination reason: Instruction limit
% 0.66/0.44 % (3069043)Termination phase: Saturation
% 0.66/0.44 % (3069043)Time elapsed: 0.023 s
% 0.66/0.44 % (3069043)Peak memory usage: 12 MB
% 0.66/0.44 % (3069043)Instructions burned: 24 (million)
% 0.66/0.44 % (3069056)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3980696533:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.66/0.44 % (3069056)Instruction limit reached!
% 0.66/0.44 % (3069056)------------------------------
% 0.66/0.44 % (3069056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3069056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3069056)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3069056)Termination reason: Instruction limit
% 0.66/0.44 % (3069056)Termination phase: Saturation
% 0.66/0.44 % (3069056)Time elapsed: 0.005 s
% 0.66/0.44 % (3069056)Peak memory usage: 12 MB
% 0.66/0.44 % (3069056)Instructions burned: 8 (million)
% 0.66/0.44 % (3069045)Instruction limit reached!
% 0.66/0.44 % (3069045)------------------------------
% 0.66/0.44 % (3069045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3069045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3069045)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3069045)Termination reason: Instruction limit
% 0.66/0.44 % (3069045)Termination phase: Saturation
% 0.66/0.44 % (3069045)Time elapsed: 0.053 s
% 0.66/0.44 % (3069045)Peak memory usage: 12 MB
% 0.66/0.44 % (3069045)Instructions burned: 158 (million)
% 0.66/0.44 % (3069059)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.66/0.44 % (3069059)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.44 % (3069058)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2083619248:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.66/0.44 % (3069059)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3478288067:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.66/0.44 % (3069039)Instruction limit reached!
% 0.66/0.44 % (3069039)------------------------------
% 0.66/0.44 % (3069039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3069039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.44 % (3069039)CaDiCaL version: 2.1.3
% 0.66/0.44 % (3069039)Termination reason: Instruction limit
% 0.66/0.44 % (3069039)Termination phase: Saturation
% 0.66/0.44 % (3069039)Time elapsed: 0.051 s
% 0.66/0.44 % (3069039)Peak memory usage: 12 MB
% 0.66/0.44 % (3069039)Instructions burned: 88 (million)
% 0.66/0.44 % (3069062)lrs+10_1_si=on:cs=on:random_seed=2993946594:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.66/0.44 % (3069062)Instruction limit reached!
% 0.66/0.44 % (3069062)------------------------------
% 0.66/0.44 % (3069062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.44 % (3069062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.47 % (3069062)CaDiCaL version: 2.1.3
% 1.21/0.47 % (3069062)Termination reason: Instruction limit
% 1.21/0.47 % (3069062)Termination phase: Saturation
% 1.21/0.47 % (3069062)Time elapsed: 0.005 s
% 1.21/0.47 % (3069062)Peak memory usage: 12 MB
% 1.21/0.47 % (3069062)Instructions burned: 9 (million)
% 1.21/0.47 % (3069058)Instruction limit reached!
% 1.21/0.47 % (3069058)------------------------------
% 1.21/0.47 % (3069058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.47 % (3069058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.47 % (3069058)CaDiCaL version: 2.1.3
% 1.21/0.47 % (3069058)Termination reason: Instruction limit
% 1.21/0.47 % (3069058)Termination phase: Saturation
% 1.21/0.47 % (3069058)Time elapsed: 0.012 s
% 1.21/0.47 % (3069058)Peak memory usage: 12 MB
% 1.21/0.47 % (3069058)Instructions burned: 13 (million)
% 1.21/0.47 % (3069061)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=1291553978:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.21/0.47 % (3069063)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.21/0.47 % (3069063)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=3218592756:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.21/0.47 % (3069068)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=669638066:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.21/0.47 % (3069068)Refutation not found, incomplete strategy
% 1.21/0.47 % (3069068)------------------------------
% 1.21/0.47 % (3069068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.47 % (3069068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.47 % (3069068)CaDiCaL version: 2.1.3
% 1.21/0.47 % (3069068)Termination reason: Refutation not found, incomplete strategy
% 1.21/0.47 % (3069068)Time elapsed: 0.001 s
% 1.21/0.47 % (3069068)Peak memory usage: 11 MB
% 1.21/0.47 % (3069068)Instructions burned: 1 (million)
% 1.21/0.47 % (3069068)------------------------------
% 1.21/0.47 % (3069068)------------------------------
% 1.21/0.47 % (3069063)Instruction limit reached!
% 1.21/0.47 % (3069063)------------------------------
% 1.21/0.47 % (3069063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.47 % (3069063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.47 % (3069063)CaDiCaL version: 2.1.3
% 1.21/0.47 % (3069063)Termination reason: Instruction limit
% 1.21/0.47 % (3069063)Termination phase: Property scanning
% 1.21/0.47 % (3069063)Time elapsed: 0.004 s
% 1.21/0.47 % (3069063)Peak memory usage: 10 MB
% 1.21/0.47 % (3069063)Instructions burned: 2 (million)
% 1.21/0.47 % (3069059)Instruction limit reached!
% 1.21/0.47 % (3069059)------------------------------
% 1.21/0.47 % (3069059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.47 % (3069059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.47 % (3069059)CaDiCaL version: 2.1.3
% 1.21/0.47 % (3069059)Termination reason: Instruction limit
% 1.21/0.47 % (3069059)Termination phase: Saturation
% 1.21/0.47 % (3069059)Time elapsed: 0.032 s
% 1.21/0.47 % (3069059)Peak memory usage: 11 MB
% 1.21/0.47 % (3069059)Instructions burned: 28 (million)
% 1.21/0.47 % (3069066)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1346848726:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.21/0.47 % (3069069)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2542533074:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.21/0.47 % (3069066)Refutation not found, incomplete strategy
% 1.21/0.47 % (3069066)------------------------------
% 1.21/0.47 % (3069066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.47 % (3069066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.47 % (3069066)CaDiCaL version: 2.1.3
% 1.21/0.47 % (3069066)Termination reason: Refutation not found, incomplete strategy
% 1.21/0.47 % (3069066)Time elapsed: 0.001 s
% 1.21/0.47 % (3069066)Peak memory usage: 11 MB
% 1.21/0.47 % (3069066)Instructions burned: 1 (million)
% 1.21/0.47 % (3069069)Refutation not found, incomplete strategy
% 1.21/0.52 % (3069069)------------------------------
% 1.21/0.52 % (3069069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.52 % (3069069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.52 % (3069069)CaDiCaL version: 2.1.3
% 1.21/0.52 % (3069069)Termination reason: Refutation not found, incomplete strategy
% 1.21/0.52 % (3069069)Time elapsed: 0.001 s
% 1.21/0.52 % (3069069)Peak memory usage: 11 MB
% 1.21/0.52 % (3069069)Instructions burned: 1 (million)
% 1.21/0.52 % (3069066)------------------------------
% 1.21/0.52 % (3069066)------------------------------
% 1.21/0.52 % (3069069)------------------------------
% 1.21/0.52 % (3069069)------------------------------
% 1.21/0.52 % (3069074)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1349009180:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.21/0.52 % (3069073)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3813671282:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.21/0.52 % (3069074)Refutation not found, incomplete strategy
% 1.21/0.52 % (3069074)------------------------------
% 1.21/0.52 % (3069074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.52 % (3069074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.52 % (3069074)CaDiCaL version: 2.1.3
% 1.21/0.52 % (3069074)Termination reason: Refutation not found, incomplete strategy
% 1.21/0.52 % (3069074)Time elapsed: 0.001 s
% 1.21/0.52 % (3069074)Peak memory usage: 11 MB
% 1.21/0.52 % (3069074)Instructions burned: 1 (million)
% 1.21/0.52 % (3069074)------------------------------
% 1.21/0.52 % (3069074)------------------------------
% 1.21/0.52 % (3069079)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3650979616:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.21/0.52 % (3069078)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1975360306:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.21/0.52 % (3069078)Refutation not found, incomplete strategy
% 1.21/0.52 % (3069078)------------------------------
% 1.21/0.52 % (3069078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.52 % (3069078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.52 % (3069078)CaDiCaL version: 2.1.3
% 1.21/0.52 % (3069078)Termination reason: Refutation not found, incomplete strategy
% 1.21/0.52 % (3069078)Time elapsed: 0.001 s
% 1.21/0.52 % (3069078)Peak memory usage: 11 MB
% 1.21/0.52 % (3069078)------------------------------
% 1.21/0.52 % (3069078)------------------------------
% 1.21/0.52 % (3069073)Instruction limit reached!
% 1.21/0.52 % (3069073)------------------------------
% 1.21/0.52 % (3069073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.52 % (3069073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.52 % (3069073)CaDiCaL version: 2.1.3
% 1.21/0.52 % (3069073)Termination reason: Instruction limit
% 1.21/0.52 % (3069073)Termination phase: Saturation
% 1.21/0.52 % (3069073)Time elapsed: 0.009 s
% 1.21/0.52 % (3069073)Peak memory usage: 12 MB
% 1.21/0.52 % (3069073)Instructions burned: 15 (million)
% 1.21/0.52 % (3069079)Instruction limit reached!
% 1.21/0.52 % (3069079)------------------------------
% 1.21/0.52 % (3069079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.52 % (3069079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.52 % (3069079)CaDiCaL version: 2.1.3
% 1.21/0.52 % (3069079)Termination reason: Instruction limit
% 1.21/0.52 % (3069079)Termination phase: Saturation
% 1.21/0.52 % (3069079)Time elapsed: 0.014 s
% 1.21/0.52 % (3069079)Peak memory usage: 12 MB
% 1.21/0.52 % (3069079)Instructions burned: 26 (million)
% 1.21/0.52 % (3069075)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1022088108:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.21/0.52 % (3069082)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=673483486:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.21/0.52 % (3069082)Instruction limit reached!
% 1.21/0.52 % (3069082)------------------------------
% 1.21/0.52 % (3069082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.57 % (3069082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.57 % (3069082)CaDiCaL version: 2.1.3
% 1.21/0.57 % (3069082)Termination reason: Instruction limit
% 1.21/0.57 % (3069082)Termination phase: Saturation
% 1.21/0.57 % (3069082)Time elapsed: 0.010 s
% 1.21/0.57 % (3069082)Peak memory usage: 11 MB
% 1.21/0.57 % (3069082)Instructions burned: 25 (million)
% 1.21/0.57 % (3069075)Instruction limit reached!
% 1.21/0.57 % (3069075)------------------------------
% 1.21/0.57 % (3069075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.57 % (3069075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.57 % (3069075)CaDiCaL version: 2.1.3
% 1.21/0.57 % (3069075)Termination reason: Instruction limit
% 1.21/0.57 % (3069075)Termination phase: Saturation
% 1.21/0.57 % (3069075)Time elapsed: 0.012 s
% 1.21/0.57 % (3069075)Peak memory usage: 12 MB
% 1.21/0.57 % (3069075)Instructions burned: 14 (million)
% 1.21/0.57 % (3069086)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.21/0.57 % (3069088)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.21/0.57 % (3069086)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.21/0.57 % (3069061)Instruction limit reached!
% 1.21/0.57 % (3069061)------------------------------
% 1.21/0.57 % (3069061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.57 % (3069061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.57 % (3069061)CaDiCaL version: 2.1.3
% 1.21/0.57 % (3069061)Termination reason: Instruction limit
% 1.21/0.57 % (3069061)Termination phase: Saturation
% 1.21/0.57 % (3069061)Time elapsed: 0.081 s
% 1.21/0.57 % (3069061)Peak memory usage: 12 MB
% 1.21/0.57 % (3069061)Instructions burned: 93 (million)
% 1.21/0.57 % (3069085)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3523540854:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.21/0.57 % (3069086)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=1590538971:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.21/0.57 % (3069088)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=4275381693:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.21/0.57 % (3069088)Instruction limit reached!
% 1.21/0.57 % (3069088)------------------------------
% 1.21/0.57 % (3069088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.57 % (3069088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.57 % (3069088)CaDiCaL version: 2.1.3
% 1.21/0.57 % (3069088)Termination reason: Instruction limit
% 1.21/0.57 % (3069088)Termination phase: Saturation
% 1.21/0.57 % (3069088)Time elapsed: 0.009 s
% 1.21/0.57 % (3069088)Peak memory usage: 11 MB
% 1.21/0.57 % (3069088)Instructions burned: 8 (million)
% 1.21/0.57 % (3069086)Instruction limit reached!
% 1.21/0.57 % (3069086)------------------------------
% 1.21/0.57 % (3069086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.57 % (3069086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.57 % (3069086)CaDiCaL version: 2.1.3
% 1.21/0.57 % (3069086)Termination reason: Instruction limit
% 1.21/0.57 % (3069086)Termination phase: Saturation
% 1.21/0.57 % (3069086)Time elapsed: 0.009 s
% 1.21/0.57 % (3069086)Peak memory usage: 12 MB
% 1.21/0.57 % (3069086)Instructions burned: 14 (million)
% 1.21/0.57 % (3069090)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=1850343683:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.21/0.57 % (3069091)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3282183077:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.21/0.57 % (3069093)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1237927840:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.85/0.61 % (3069091)Instruction limit reached!
% 1.85/0.61 % (3069091)------------------------------
% 1.85/0.61 % (3069091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.61 % (3069091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.61 % (3069091)CaDiCaL version: 2.1.3
% 1.85/0.61 % (3069091)Termination reason: Instruction limit
% 1.85/0.61 % (3069091)Termination phase: Saturation
% 1.85/0.61 % (3069091)Time elapsed: 0.005 s
% 1.85/0.61 % (3069091)Peak memory usage: 12 MB
% 1.85/0.61 % (3069091)Instructions burned: 9 (million)
% 1.85/0.61 % (3069093)Instruction limit reached!
% 1.85/0.61 % (3069093)------------------------------
% 1.85/0.61 % (3069093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.61 % (3069093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.61 % (3069093)CaDiCaL version: 2.1.3
% 1.85/0.61 % (3069093)Termination reason: Instruction limit
% 1.85/0.61 % (3069093)Termination phase: Saturation
% 1.85/0.61 % (3069093)Time elapsed: 0.010 s
% 1.85/0.61 % (3069093)Peak memory usage: 11 MB
% 1.85/0.61 % (3069093)Instructions burned: 23 (million)
% 1.85/0.61 % (3069085)Instruction limit reached!
% 1.85/0.61 % (3069085)------------------------------
% 1.85/0.61 % (3069085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.61 % (3069085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.61 % (3069085)CaDiCaL version: 2.1.3
% 1.85/0.61 % (3069085)Termination reason: Instruction limit
% 1.85/0.61 % (3069085)Termination phase: Saturation
% 1.85/0.61 % (3069085)Time elapsed: 0.030 s
% 1.85/0.61 % (3069085)Peak memory usage: 12 MB
% 1.85/0.61 % (3069085)Instructions burned: 62 (million)
% 1.85/0.61 % (3069096)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3195804893:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.85/0.61 % (3069097)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=109363871:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.85/0.61 % (3069090)Instruction limit reached!
% 1.85/0.61 % (3069090)------------------------------
% 1.85/0.61 % (3069090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.61 % (3069090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.61 % (3069090)CaDiCaL version: 2.1.3
% 1.85/0.61 % (3069090)Termination reason: Instruction limit
% 1.85/0.61 % (3069090)Termination phase: Saturation
% 1.85/0.61 % (3069090)Time elapsed: 0.024 s
% 1.85/0.61 % (3069090)Peak memory usage: 12 MB
% 1.85/0.61 % (3069090)Instructions burned: 32 (million)
% 1.85/0.61 % (3069096)Instruction limit reached!
% 1.85/0.61 % (3069096)------------------------------
% 1.85/0.61 % (3069096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.61 % (3069096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.61 % (3069096)CaDiCaL version: 2.1.3
% 1.85/0.61 % (3069096)Termination reason: Instruction limit
% 1.85/0.61 % (3069096)Termination phase: Saturation
% 1.85/0.61 % (3069096)Time elapsed: 0.017 s
% 1.85/0.61 % (3069096)Peak memory usage: 12 MB
% 1.85/0.61 % (3069102)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2330782858:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.85/0.61 % (3069096)Instructions burned: 21 (million)
% 1.85/0.61 % (3069101)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2335811647:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.85/0.61 % (3069102)Refutation not found, incomplete strategy
% 1.85/0.61 % (3069102)------------------------------
% 1.85/0.61 % (3069102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.85/0.61 % (3069102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.85/0.61 % (3069102)CaDiCaL version: 2.1.3
% 1.85/0.61 % (3069102)Termination reason: Refutation not found, incomplete strategy
% 1.85/0.61 % (3069102)Time elapsed: 0.001 s
% 1.85/0.61 % (3069102)Peak memory usage: 11 MB
% 1.85/0.61 % (3069102)Instructions burned: 1 (million)
% 1.85/0.61 % (3069102)------------------------------
% 1.85/0.61 % (3069102)------------------------------
% 1.85/0.61 % (3069104)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2364240907:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.85/0.61 % (3069106)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.08/0.69 % (3069108)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2285718009:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.08/0.69 % (3069108)Refutation not found, incomplete strategy
% 2.08/0.69 % (3069108)------------------------------
% 2.08/0.69 % (3069108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.69 % (3069108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.69 % (3069108)CaDiCaL version: 2.1.3
% 2.08/0.69 % (3069108)Termination reason: Refutation not found, incomplete strategy
% 2.08/0.69 % (3069108)Time elapsed: 0.001 s
% 2.08/0.69 % (3069108)Peak memory usage: 11 MB
% 2.08/0.69 % (3069108)Instructions burned: 1 (million)
% 2.08/0.69 % (3069108)------------------------------
% 2.08/0.69 % (3069108)------------------------------
% 2.08/0.69 % (3069106)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2571211078:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.08/0.69 % (3069111)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=1374123271:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.08/0.69 % (3069111)Refutation not found, incomplete strategy
% 2.08/0.69 % (3069111)------------------------------
% 2.08/0.69 % (3069111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.69 % (3069111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.69 % (3069111)CaDiCaL version: 2.1.3
% 2.08/0.69 % (3069111)Termination reason: Refutation not found, incomplete strategy
% 2.08/0.69 % (3069111)Time elapsed: 0.001 s
% 2.08/0.69 % (3069111)Peak memory usage: 11 MB
% 2.08/0.69 % (3069111)Instructions burned: 1 (million)
% 2.08/0.69 % (3069111)------------------------------
% 2.08/0.69 % (3069111)------------------------------
% 2.08/0.69 % (3069104)Instruction limit reached!
% 2.08/0.69 % (3069104)------------------------------
% 2.08/0.69 % (3069104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.69 % (3069104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.69 % (3069104)CaDiCaL version: 2.1.3
% 2.08/0.69 % (3069104)Termination reason: Instruction limit
% 2.08/0.69 % (3069104)Termination phase: Saturation
% 2.08/0.69 % (3069104)Time elapsed: 0.025 s
% 2.08/0.69 % (3069104)Peak memory usage: 12 MB
% 2.08/0.69 % (3069104)Instructions burned: 43 (million)
% 2.08/0.69 % (3069106)Instruction limit reached!
% 2.08/0.69 % (3069106)------------------------------
% 2.08/0.69 % (3069106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.69 % (3069106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.69 % (3069106)CaDiCaL version: 2.1.3
% 2.08/0.69 % (3069106)Termination reason: Instruction limit
% 2.08/0.69 % (3069106)Termination phase: Saturation
% 2.08/0.69 % (3069106)Time elapsed: 0.007 s
% 2.08/0.69 % (3069106)Peak memory usage: 12 MB
% 2.08/0.69 % (3069106)Instructions burned: 7 (million)
% 2.08/0.69 % (3069115)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.08/0.69 % (3069101)Instruction limit reached!
% 2.08/0.69 % (3069101)------------------------------
% 2.08/0.69 % (3069101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.69 % (3069101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.69 % (3069101)CaDiCaL version: 2.1.3
% 2.08/0.69 % (3069101)Termination reason: Instruction limit
% 2.08/0.69 % (3069101)Termination phase: Saturation
% 2.08/0.69 % (3069101)Time elapsed: 0.053 s
% 2.08/0.69 % (3069101)Peak memory usage: 12 MB
% 2.08/0.69 % (3069101)Instructions burned: 143 (million)
% 2.08/0.69 % (3069116)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2988823456:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.08/0.69 % (3069115)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3155934231:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.08/0.69 % (3069115)Refutation not found, incomplete strategy
% 2.35/0.77 % (3069115)------------------------------
% 2.35/0.77 % (3069115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.77 % (3069115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.77 % (3069115)CaDiCaL version: 2.1.3
% 2.35/0.77 % (3069115)Termination reason: Refutation not found, incomplete strategy
% 2.35/0.77 % (3069115)Time elapsed: 0.005 s
% 2.35/0.77 % (3069115)Peak memory usage: 11 MB
% 2.35/0.77 % (3069117)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=291517607:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.35/0.77 % (3069115)Instructions burned: 2 (million)
% 2.35/0.77 % (3069115)------------------------------
% 2.35/0.77 % (3069115)------------------------------
% 2.35/0.77 % (3069118)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=1829049894:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.35/0.77 % (3069117)Refutation not found, incomplete strategy
% 2.35/0.77 % (3069117)------------------------------
% 2.35/0.77 % (3069117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.77 % (3069117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.77 % (3069117)CaDiCaL version: 2.1.3
% 2.35/0.77 % (3069117)Termination reason: Refutation not found, incomplete strategy
% 2.35/0.77 % (3069117)Time elapsed: 0.006 s
% 2.35/0.77 % (3069117)Peak memory usage: 12 MB
% 2.35/0.77 % (3069117)Instructions burned: 3 (million)
% 2.35/0.77 % (3069117)------------------------------
% 2.35/0.77 % (3069117)------------------------------
% 2.35/0.77 % (3069119)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=1490191246: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)
% 2.35/0.77 % (3069116)Instruction limit reached!
% 2.35/0.77 % (3069116)------------------------------
% 2.35/0.77 % (3069116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.77 % (3069116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.77 % (3069116)CaDiCaL version: 2.1.3
% 2.35/0.77 % (3069116)Termination reason: Instruction limit
% 2.35/0.77 % (3069116)Termination phase: Saturation
% 2.35/0.77 % (3069116)Time elapsed: 0.019 s
% 2.35/0.77 % (3069116)Peak memory usage: 12 MB
% 2.35/0.77 % (3069116)Instructions burned: 24 (million)
% 2.35/0.77 % (3069126)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3629598704:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.35/0.77 % (3069127)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4287467531:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.35/0.77 % (3069126)Refutation not found, incomplete strategy
% 2.35/0.77 % (3069126)------------------------------
% 2.35/0.77 % (3069126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.77 % (3069126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.77 % (3069126)CaDiCaL version: 2.1.3
% 2.35/0.77 % (3069126)Termination reason: Refutation not found, incomplete strategy
% 2.35/0.77 % (3069126)Time elapsed: 0.001 s
% 2.35/0.77 % (3069126)Peak memory usage: 12 MB
% 2.35/0.77 % (3069126)Instructions burned: 2 (million)
% 2.35/0.77 % (3069126)------------------------------
% 2.35/0.77 % (3069126)------------------------------
% 2.35/0.77 % (3069123)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=1440538581:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.35/0.77 % (3069127)Instruction limit reached!
% 2.35/0.77 % (3069127)------------------------------
% 2.35/0.77 % (3069127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.77 % (3069127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.77 % (3069127)CaDiCaL version: 2.1.3
% 2.35/0.77 % (3069127)Termination reason: Instruction limit
% 2.35/0.77 % (3069127)Termination phase: Saturation
% 2.35/0.77 % (3069127)Time elapsed: 0.012 s
% 2.35/0.77 % (3069127)Peak memory usage: 12 MB
% 2.72/0.84 % (3069127)Instructions burned: 21 (million)
% 2.72/0.84 % (3069130)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.72/0.84 % (3069130)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=345769114:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.72/0.84 % (3069042)Instruction limit reached!
% 2.72/0.84 % (3069042)------------------------------
% 2.72/0.84 % (3069042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.84 % (3069042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.84 % (3069042)CaDiCaL version: 2.1.3
% 2.72/0.84 % (3069042)Termination reason: Instruction limit
% 2.72/0.84 % (3069042)Termination phase: Saturation
% 2.72/0.84 % (3069042)Time elapsed: 0.333 s
% 2.72/0.84 % (3069042)Peak memory usage: 13 MB
% 2.72/0.84 % (3069042)Instructions burned: 635 (million)
% 2.72/0.84 % (3069132)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3334759651:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.72/0.84 % (3069132)Instruction limit reached!
% 2.72/0.84 % (3069132)------------------------------
% 2.72/0.84 % (3069132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.84 % (3069132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.84 % (3069132)CaDiCaL version: 2.1.3
% 2.72/0.84 % (3069132)Termination reason: Instruction limit
% 2.72/0.84 % (3069132)Termination phase: Saturation
% 2.72/0.84 % (3069132)Time elapsed: 0.017 s
% 2.72/0.84 % (3069132)Peak memory usage: 12 MB
% 2.72/0.84 % (3069132)Instructions burned: 14 (million)
% 2.72/0.84 % (3069123)Instruction limit reached!
% 2.72/0.84 % (3069123)------------------------------
% 2.72/0.84 % (3069123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.84 % (3069123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.84 % (3069123)CaDiCaL version: 2.1.3
% 2.72/0.84 % (3069123)Termination reason: Instruction limit
% 2.72/0.84 % (3069123)Termination phase: Saturation
% 2.72/0.84 % (3069123)Time elapsed: 0.053 s
% 2.72/0.84 % (3069123)Peak memory usage: 12 MB
% 2.72/0.84 % (3069123)Instructions burned: 46 (million)
% 2.72/0.84 % (3069134)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=2290751124:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.72/0.84 % (3069137)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3530090594:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.72/0.84 % (3069136)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=749394764:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.72/0.84 % (3069137)Instruction limit reached!
% 2.72/0.84 % (3069137)------------------------------
% 2.72/0.84 % (3069137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.84 % (3069137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.84 % (3069137)CaDiCaL version: 2.1.3
% 2.72/0.84 % (3069137)Termination reason: Instruction limit
% 2.72/0.84 % (3069137)Termination phase: Saturation
% 2.72/0.84 % (3069137)Time elapsed: 0.015 s
% 2.72/0.84 % (3069137)Peak memory usage: 12 MB
% 2.72/0.84 % (3069137)Instructions burned: 31 (million)
% 2.72/0.84 % (3069136)Refutation not found, incomplete strategy
% 2.72/0.84 % (3069136)------------------------------
% 2.72/0.84 % (3069136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.84 % (3069136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.84 % (3069136)CaDiCaL version: 2.1.3
% 2.72/0.84 % (3069136)Termination reason: Refutation not found, incomplete strategy
% 2.72/0.84 % (3069136)Time elapsed: 0.006 s
% 2.72/0.84 % (3069136)Peak memory usage: 12 MB
% 2.72/0.84 % (3069136)Instructions burned: 2 (million)
% 2.72/0.84 % (3069136)------------------------------
% 2.72/0.84 % (3069136)------------------------------
% 2.72/0.84 % (3069130)Instruction limit reached!
% 2.72/0.84 % (3069130)------------------------------
% 2.72/0.84 % (3069130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.84 % (3069130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.84 % (3069130)CaDiCaL version: 2.1.3
% 3.54/0.90 % (3069130)Termination reason: Instruction limit
% 3.54/0.90 % (3069130)Termination phase: Saturation
% 3.54/0.90 % (3069130)Time elapsed: 0.074 s
% 3.54/0.90 % (3069130)Peak memory usage: 12 MB
% 3.54/0.90 % (3069130)Instructions burned: 201 (million)
% 3.54/0.90 % (3069142)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=3804840630:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.54/0.90 % (3069134)Instruction limit reached!
% 3.54/0.90 % (3069134)------------------------------
% 3.54/0.90 % (3069134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (3069134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (3069134)CaDiCaL version: 2.1.3
% 3.54/0.90 % (3069134)Termination reason: Instruction limit
% 3.54/0.90 % (3069134)Termination phase: Saturation
% 3.54/0.90 % (3069134)Time elapsed: 0.061 s
% 3.54/0.90 % (3069141)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3474222865:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.54/0.90 % (3069134)Peak memory usage: 12 MB
% 3.54/0.90 % (3069134)Instructions burned: 67 (million)
% 3.54/0.90 % (3069143)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4154991803:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.54/0.90 % (3069143)Refutation not found, incomplete strategy
% 3.54/0.90 % (3069143)------------------------------
% 3.54/0.90 % (3069143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (3069143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (3069143)CaDiCaL version: 2.1.3
% 3.54/0.90 % (3069143)Termination reason: Refutation not found, incomplete strategy
% 3.54/0.90 % (3069143)Time elapsed: 0.002 s
% 3.54/0.90 % (3069143)Peak memory usage: 12 MB
% 3.54/0.90 % (3069143)Instructions burned: 2 (million)
% 3.54/0.90 % (3069143)------------------------------
% 3.54/0.90 % (3069143)------------------------------
% 3.54/0.90 % (3069142)Instruction limit reached!
% 3.54/0.90 % (3069142)------------------------------
% 3.54/0.90 % (3069142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (3069142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (3069142)CaDiCaL version: 2.1.3
% 3.54/0.90 % (3069142)Termination reason: Instruction limit
% 3.54/0.90 % (3069142)Termination phase: Saturation
% 3.54/0.90 % (3069142)Time elapsed: 0.023 s
% 3.54/0.90 % (3069142)Peak memory usage: 12 MB
% 3.54/0.90 % (3069142)Instructions burned: 34 (million)
% 3.54/0.90 % (3069148)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2696294210:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.54/0.90 % (3069148)Refutation not found, incomplete strategy
% 3.54/0.90 % (3069148)------------------------------
% 3.54/0.90 % (3069148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (3069148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.90 % (3069148)CaDiCaL version: 2.1.3
% 3.54/0.90 % (3069148)Termination reason: Refutation not found, incomplete strategy
% 3.54/0.90 % (3069148)Time elapsed: 0.001 s
% 3.54/0.90 % (3069148)Peak memory usage: 11 MB
% 3.54/0.90 % (3069148)Instructions burned: 1 (million)
% 3.54/0.90 % (3069148)------------------------------
% 3.54/0.90 % (3069148)------------------------------
% 3.54/0.90 % (3069145)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.54/0.90 % (3069145)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2818509016:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.54/0.90 % (3069151)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1864867056:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.54/0.90 % (3069149)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2849066484:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.54/0.90 % (3069151)Refutation not found, incomplete strategy
% 3.54/0.90 % (3069151)------------------------------
% 3.54/0.90 % (3069151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.90 % (3069151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.96 % (3069151)CaDiCaL version: 2.1.3
% 3.54/0.96 % (3069151)Termination reason: Refutation not found, incomplete strategy
% 3.54/0.96 % (3069151)Time elapsed: 0.001 s
% 3.54/0.96 % (3069151)Peak memory usage: 11 MB
% 3.54/0.96 % (3069151)Instructions burned: 1 (million)
% 3.54/0.96 % (3069151)------------------------------
% 3.54/0.96 % (3069151)------------------------------
% 3.54/0.96 % (3069155)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1224959123:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.54/0.96 % (3069155)Refutation not found, incomplete strategy
% 3.54/0.96 % (3069155)------------------------------
% 3.54/0.96 % (3069155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.96 % (3069155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.96 % (3069155)CaDiCaL version: 2.1.3
% 3.54/0.96 % (3069155)Termination reason: Refutation not found, incomplete strategy
% 3.54/0.96 % (3069155)Time elapsed: 0.001 s
% 3.54/0.96 % (3069155)Peak memory usage: 11 MB
% 3.54/0.96 % (3069155)Instructions burned: 1 (million)
% 3.54/0.96 % (3069155)------------------------------
% 3.54/0.96 % (3069155)------------------------------
% 3.54/0.96 % (3069141)Instruction limit reached!
% 3.54/0.96 % (3069141)------------------------------
% 3.54/0.96 % (3069141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.96 % (3069141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.96 % (3069141)CaDiCaL version: 2.1.3
% 3.54/0.96 % (3069141)Termination reason: Instruction limit
% 3.54/0.96 % (3069141)Termination phase: Saturation
% 3.54/0.96 % (3069141)Time elapsed: 0.067 s
% 3.54/0.96 % (3069141)Peak memory usage: 13 MB
% 3.54/0.96 % (3069141)Instructions burned: 137 (million)
% 3.54/0.96 % (3069157)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1185806415:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.54/0.96 % (3069157)Refutation not found, incomplete strategy
% 3.54/0.96 % (3069157)------------------------------
% 3.54/0.96 % (3069157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.96 % (3069157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.96 % (3069157)CaDiCaL version: 2.1.3
% 3.54/0.96 % (3069157)Termination reason: Refutation not found, incomplete strategy
% 3.54/0.96 % (3069157)Time elapsed: 0.001 s
% 3.54/0.96 % (3069157)Peak memory usage: 12 MB
% 3.54/0.96 % (3069157)Instructions burned: 1 (million)
% 3.54/0.96 % (3069158)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2851070871:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.54/0.96 % (3069157)------------------------------
% 3.54/0.96 % (3069157)------------------------------
% 3.54/0.96 % (3069158)Refutation not found, incomplete strategy
% 3.54/0.96 % (3069158)------------------------------
% 3.54/0.96 % (3069158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.96 % (3069158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.96 % (3069158)CaDiCaL version: 2.1.3
% 3.54/0.96 % (3069158)Termination reason: Refutation not found, incomplete strategy
% 3.54/0.96 % (3069158)Time elapsed: 0.001 s
% 3.54/0.96 % (3069158)Peak memory usage: 11 MB
% 3.54/0.96 % (3069158)Instructions burned: 1 (million)
% 3.54/0.96 % (3069158)------------------------------
% 3.54/0.96 % (3069158)------------------------------
% 3.54/0.96 % (3069149)Instruction limit reached!
% 3.54/0.96 % (3069149)------------------------------
% 3.54/0.96 % (3069149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.96 % (3069149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.96 % (3069149)CaDiCaL version: 2.1.3
% 3.54/0.96 % (3069149)Termination reason: Instruction limit
% 3.54/0.96 % (3069149)Termination phase: Saturation
% 3.54/0.96 % (3069149)Time elapsed: 0.057 s
% 3.54/0.96 % (3069149)Peak memory usage: 12 MB
% 3.54/0.96 % (3069149)Instructions burned: 97 (million)
% 3.54/0.96 % (3069162)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=204969525:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.54/0.96 % (3069163)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3407683023:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.54/0.96 % (3069163)Refutation not found, incomplete strategy
% 3.54/0.96 % (3069163)------------------------------
% 3.54/1.01 % (3069163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.01 % (3069163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.01 % (3069163)CaDiCaL version: 2.1.3
% 3.54/1.01 % (3069163)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.01 % (3069163)Time elapsed: 0.001 s
% 3.54/1.01 % (3069163)Peak memory usage: 12 MB
% 3.54/1.01 % (3069163)Instructions burned: 2 (million)
% 3.54/1.01 % (3069163)------------------------------
% 3.54/1.01 % (3069163)------------------------------
% 3.54/1.01 % (3069118)Instruction limit reached!
% 3.54/1.01 % (3069118)------------------------------
% 3.54/1.01 % (3069118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.01 % (3069118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.01 % (3069118)CaDiCaL version: 2.1.3
% 3.54/1.01 % (3069118)Termination reason: Instruction limit
% 3.54/1.01 % (3069118)Termination phase: Saturation
% 3.54/1.01 % (3069118)Time elapsed: 0.271 s
% 3.54/1.01 % (3069118)Peak memory usage: 13 MB
% 3.54/1.01 % (3069118)Instructions burned: 317 (million)
% 3.54/1.01 % (3069119)Instruction limit reached!
% 3.54/1.01 % (3069119)------------------------------
% 3.54/1.01 % (3069119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.01 % (3069119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.01 % (3069119)CaDiCaL version: 2.1.3
% 3.54/1.01 % (3069119)Termination reason: Instruction limit
% 3.54/1.01 % (3069119)Termination phase: Saturation
% 3.54/1.01 % (3069119)Time elapsed: 0.270 s
% 3.54/1.01 % (3069119)Peak memory usage: 13 MB
% 3.54/1.01 % (3069119)Instructions burned: 855 (million)
% 3.54/1.01 % (3069164)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1864801562:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.54/1.01 % (3069162)Instruction limit reached!
% 3.54/1.01 % (3069162)------------------------------
% 3.54/1.01 % (3069162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.01 % (3069162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.01 % (3069162)CaDiCaL version: 2.1.3
% 3.54/1.01 % (3069162)Termination reason: Instruction limit
% 3.54/1.01 % (3069162)Termination phase: Saturation
% 3.54/1.01 % (3069162)Time elapsed: 0.021 s
% 3.54/1.01 % (3069162)Peak memory usage: 12 MB
% 3.54/1.01 % (3069162)Instructions burned: 44 (million)
% 3.54/1.01 % (3069170)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=3393731803: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_2994 on theBenchmark for (2994ds/105Mi)
% 3.54/1.01 % (3069167)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1489450255:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.54/1.01 % (3069171)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=960936114:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 3.54/1.01 % (3069171)Refutation not found, incomplete strategy
% 3.54/1.01 % (3069171)------------------------------
% 3.54/1.01 % (3069171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/1.01 % (3069171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.01 % (3069171)CaDiCaL version: 2.1.3
% 3.54/1.01 % (3069171)Termination reason: Refutation not found, incomplete strategy
% 3.54/1.01 % (3069171)Time elapsed: 0.001 s
% 3.54/1.01 % (3069171)Peak memory usage: 12 MB
% 3.54/1.01 % (3069171)Instructions burned: 1 (million)
% 3.54/1.01 % (3069171)------------------------------
% 3.54/1.01 % (3069171)------------------------------
% 3.54/1.01 % (3069168)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=3793964902:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.54/1.01 % (3069177)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3543115001:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 3.54/1.01 % (3069177)Refutation not found, incomplete strategy
% 4.66/1.12 % (3069177)------------------------------
% 4.66/1.12 % (3069177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.66/1.12 % (3069177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.12 % (3069177)CaDiCaL version: 2.1.3
% 4.66/1.12 % (3069177)Termination reason: Refutation not found, incomplete strategy
% 4.66/1.12 % (3069177)Time elapsed: 0.001 s
% 4.66/1.12 % (3069177)Peak memory usage: 11 MB
% 4.66/1.12 % (3069177)Instructions burned: 1 (million)
% 4.66/1.12 % (3069177)------------------------------
% 4.66/1.12 % (3069177)------------------------------
% 4.66/1.12 % (3069145)Instruction limit reached!
% 4.66/1.12 % (3069145)------------------------------
% 4.66/1.12 % (3069145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.66/1.12 % (3069145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.12 % (3069145)CaDiCaL version: 2.1.3
% 4.66/1.12 % (3069145)Termination reason: Instruction limit
% 4.66/1.12 % (3069145)Termination phase: Saturation
% 4.66/1.12 % (3069145)Time elapsed: 0.150 s
% 4.66/1.12 % (3069145)Peak memory usage: 12 MB
% 4.66/1.12 % (3069145)Instructions burned: 180 (million)
% 4.66/1.12 % (3069179)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3978723527:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 4.66/1.12 % (3069170)Instruction limit reached!
% 4.66/1.12 % (3069170)------------------------------
% 4.66/1.12 % (3069170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.66/1.12 % (3069170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.12 % (3069170)CaDiCaL version: 2.1.3
% 4.66/1.12 % (3069170)Termination reason: Instruction limit
% 4.66/1.12 % (3069170)Termination phase: Saturation
% 4.66/1.12 % (3069170)Time elapsed: 0.055 s
% 4.66/1.12 % (3069170)Peak memory usage: 12 MB
% 4.66/1.12 % (3069170)Instructions burned: 105 (million)
% 4.66/1.12 % (3069180)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=1414433612:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 4.66/1.12 % (3069168)Instruction limit reached!
% 4.66/1.12 % (3069168)------------------------------
% 4.66/1.12 % (3069168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.66/1.12 % (3069168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.12 % (3069168)CaDiCaL version: 2.1.3
% 4.66/1.12 % (3069168)Termination reason: Instruction limit
% 4.66/1.12 % (3069168)Termination phase: Saturation
% 4.66/1.12 % (3069168)Time elapsed: 0.061 s
% 4.66/1.12 % (3069168)Peak memory usage: 12 MB
% 4.66/1.12 % (3069168)Instructions burned: 65 (million)
% 4.66/1.12 % (3069182)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3083359854:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 4.66/1.12 % (3069180)Instruction limit reached!
% 4.66/1.12 % (3069180)------------------------------
% 4.66/1.12 % (3069180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.66/1.12 % (3069180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.12 % (3069180)CaDiCaL version: 2.1.3
% 4.66/1.12 % (3069180)Termination reason: Instruction limit
% 4.66/1.12 % (3069180)Termination phase: Saturation
% 4.66/1.12 % (3069180)Time elapsed: 0.014 s
% 4.66/1.12 % (3069180)Peak memory usage: 12 MB
% 4.66/1.12 % (3069180)Instructions burned: 36 (million)
% 4.66/1.12 % (3069167)Instruction limit reached!
% 4.66/1.12 % (3069167)------------------------------
% 4.66/1.12 % (3069167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.66/1.12 % (3069167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.12 % (3069167)CaDiCaL version: 2.1.3
% 4.66/1.12 % (3069167)Termination reason: Instruction limit
% 4.66/1.12 % (3069167)Termination phase: Saturation
% 4.66/1.12 % (3069167)Time elapsed: 0.080 s
% 4.66/1.12 % (3069167)Peak memory usage: 12 MB
% 4.66/1.12 % (3069167)Instructions burned: 95 (million)
% 4.66/1.12 % (3069097)Instruction limit reached!
% 4.66/1.12 % (3069097)------------------------------
% 4.66/1.12 % (3069097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.66/1.12 % (3069097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.12 % (3069097)CaDiCaL version: 2.1.3
% 4.66/1.12 % (3069097)Termination reason: Instruction limit
% 4.66/1.12 % (3069097)Termination phase: Saturation
% 5.45/1.21 % (3069097)Time elapsed: 0.476 s
% 5.45/1.21 % (3069097)Peak memory usage: 13 MB
% 5.45/1.21 % (3069097)Instructions burned: 1242 (million)
% 5.45/1.21 % (3069186)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1765841732:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.45/1.21 % (3069184)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=73586541:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 5.45/1.21 % (3069184)Refutation not found, incomplete strategy
% 5.45/1.21 % (3069184)------------------------------
% 5.45/1.21 % (3069184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.21 % (3069184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.21 % (3069184)CaDiCaL version: 2.1.3
% 5.45/1.21 % (3069184)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.21 % (3069184)Time elapsed: 0.001 s
% 5.45/1.21 % (3069184)Peak memory usage: 11 MB
% 5.45/1.21 % (3069184)Instructions burned: 1 (million)
% 5.45/1.21 % (3069184)------------------------------
% 5.45/1.21 % (3069184)------------------------------
% 5.45/1.21 % (3069182)Instruction limit reached!
% 5.45/1.21 % (3069182)------------------------------
% 5.45/1.21 % (3069182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.21 % (3069182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.21 % (3069182)CaDiCaL version: 2.1.3
% 5.45/1.21 % (3069182)Termination reason: Instruction limit
% 5.45/1.21 % (3069182)Termination phase: Saturation
% 5.45/1.21 % (3069182)Time elapsed: 0.035 s
% 5.45/1.21 % (3069182)Peak memory usage: 12 MB
% 5.45/1.21 % (3069182)Instructions burned: 93 (million)
% 5.45/1.21 % (3069186)Instruction limit reached!
% 5.45/1.21 % (3069186)------------------------------
% 5.45/1.21 % (3069186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.21 % (3069186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.21 % (3069186)CaDiCaL version: 2.1.3
% 5.45/1.21 % (3069186)Termination reason: Instruction limit
% 5.45/1.21 % (3069186)Termination phase: Saturation
% 5.45/1.21 % (3069186)Time elapsed: 0.011 s
% 5.45/1.21 % (3069186)Peak memory usage: 12 MB
% 5.45/1.21 % (3069186)Instructions burned: 23 (million)
% 5.45/1.21 % (3069188)lrs+10_1_sil=128000:si=on:urr=on:random_seed=134189667:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 5.45/1.21 % (3069188)Refutation not found, incomplete strategy
% 5.45/1.21 % (3069188)------------------------------
% 5.45/1.21 % (3069188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.21 % (3069188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.21 % (3069188)CaDiCaL version: 2.1.3
% 5.45/1.21 % (3069188)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.21 % (3069188)Time elapsed: 0.001 s
% 5.45/1.21 % (3069188)Peak memory usage: 11 MB
% 5.45/1.21 % (3069188)Instructions burned: 1 (million)
% 5.45/1.21 % (3069187)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=2541015717:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 5.45/1.21 % (3069164)Instruction limit reached!
% 5.45/1.21 % (3069164)------------------------------
% 5.45/1.21 % (3069164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.21 % (3069164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.21 % (3069164)CaDiCaL version: 2.1.3
% 5.45/1.21 % (3069164)Termination reason: Instruction limit
% 5.45/1.21 % (3069164)Termination phase: Saturation
% 5.45/1.21 % (3069164)Time elapsed: 0.145 s
% 5.45/1.21 % (3069164)Peak memory usage: 13 MB
% 5.45/1.21 % (3069164)Instructions burned: 450 (million)
% 5.45/1.21 % (3069188)------------------------------
% 5.45/1.21 % (3069188)------------------------------
% 5.45/1.21 % (3069191)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.45/1.21 % (3069191)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=957252342:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/137Mi)
% 5.45/1.21 % (3069195)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.45/1.27 % (3069195)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2462662535:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 5.45/1.27 % (3069192)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=2946692487:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/340Mi)
% 5.45/1.27 % (3069193)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3006703930:i=227:sd=1:bd=all:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/227Mi)
% 5.45/1.27 % (3069193)Refutation not found, incomplete strategy
% 5.45/1.27 % (3069193)------------------------------
% 5.45/1.27 % (3069193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.27 % (3069193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.27 % (3069193)CaDiCaL version: 2.1.3
% 5.45/1.27 % (3069193)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.27 % (3069193)Time elapsed: 0.001 s
% 5.45/1.27 % (3069193)Peak memory usage: 11 MB
% 5.45/1.27 % (3069193)Instructions burned: 1 (million)
% 5.45/1.27 % (3069193)------------------------------
% 5.45/1.27 % (3069193)------------------------------
% 5.45/1.27 % (3069197)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2205879333:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 5.45/1.27 % (3069202)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1438418019:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 5.45/1.27 % (3069202)Refutation not found, incomplete strategy
% 5.45/1.27 % (3069202)------------------------------
% 5.45/1.27 % (3069202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.27 % (3069202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.27 % (3069202)CaDiCaL version: 2.1.3
% 5.45/1.27 % (3069202)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.27 % (3069202)Time elapsed: 0.002 s
% 5.45/1.27 % (3069202)Peak memory usage: 12 MB
% 5.45/1.27 % (3069202)Instructions burned: 2 (million)
% 5.45/1.27 % (3069202)------------------------------
% 5.45/1.27 % (3069202)------------------------------
% 5.45/1.27 % (3069205)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3662344510:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.45/1.27 % (3069191)Instruction limit reached!
% 5.45/1.27 % (3069191)------------------------------
% 5.45/1.27 % (3069191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.27 % (3069191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.27 % (3069191)CaDiCaL version: 2.1.3
% 5.45/1.27 % (3069191)Termination reason: Instruction limit
% 5.45/1.27 % (3069191)Termination phase: Saturation
% 5.45/1.27 % (3069191)Time elapsed: 0.059 s
% 5.45/1.27 % (3069191)Peak memory usage: 12 MB
% 5.45/1.27 % (3069191)Instructions burned: 138 (million)
% 5.45/1.27 % (3069207)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=468954933: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_2991 on theBenchmark for (2991ds/9840Mi)
% 5.45/1.27 % (3069197)Instruction limit reached!
% 5.45/1.27 % (3069197)------------------------------
% 5.45/1.27 % (3069197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.27 % (3069197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.27 % (3069197)CaDiCaL version: 2.1.3
% 5.45/1.27 % (3069197)Termination reason: Instruction limit
% 5.45/1.27 % (3069197)Termination phase: Saturation
% 5.45/1.27 % (3069197)Time elapsed: 0.068 s
% 5.45/1.27 % (3069197)Peak memory usage: 12 MB
% 5.45/1.27 % (3069197)Instructions burned: 117 (million)
% 5.45/1.27 % (3069209)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=326032667:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 5.45/1.27 % (3069209)Refutation not found, incomplete strategy
% 5.45/1.27 % (3069209)------------------------------
% 5.45/1.27 % (3069209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.34 % (3069209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.34 % (3069209)CaDiCaL version: 2.1.3
% 5.86/1.34 % (3069209)Termination reason: Refutation not found, incomplete strategy
% 5.86/1.34 % (3069209)Time elapsed: 0.001 s
% 5.86/1.34 % (3069209)Peak memory usage: 11 MB
% 5.86/1.34 % (3069209)Instructions burned: 1 (million)
% 5.86/1.34 % (3069209)------------------------------
% 5.86/1.34 % (3069209)------------------------------
% 5.86/1.34 % (3069211)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.86/1.34 % (3069211)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=3032932194:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 5.86/1.34 % (3069187)Instruction limit reached!
% 5.86/1.34 % (3069187)------------------------------
% 5.86/1.34 % (3069187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.34 % (3069187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.34 % (3069187)CaDiCaL version: 2.1.3
% 5.86/1.34 % (3069187)Termination reason: Instruction limit
% 5.86/1.34 % (3069187)Termination phase: Saturation
% 5.86/1.34 % (3069187)Time elapsed: 0.182 s
% 5.86/1.34 % (3069187)Peak memory usage: 14 MB
% 5.86/1.34 % (3069187)Instructions burned: 339 (million)
% 5.86/1.34 % (3069205)Instruction limit reached!
% 5.86/1.34 % (3069205)------------------------------
% 5.86/1.34 % (3069205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.34 % (3069205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.34 % (3069205)CaDiCaL version: 2.1.3
% 5.86/1.34 % (3069205)Termination reason: Instruction limit
% 5.86/1.34 % (3069205)Termination phase: Saturation
% 5.86/1.34 % (3069205)Time elapsed: 0.120 s
% 5.86/1.34 % (3069205)Peak memory usage: 12 MB
% 5.86/1.34 % (3069205)Instructions burned: 271 (million)
% 5.86/1.34 % (3069195)Instruction limit reached!
% 5.86/1.34 % (3069195)------------------------------
% 5.86/1.34 % (3069195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.34 % (3069195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.34 % (3069195)CaDiCaL version: 2.1.3
% 5.86/1.34 % (3069195)Termination reason: Instruction limit
% 5.86/1.34 % (3069195)Termination phase: Saturation
% 5.86/1.34 % (3069195)Time elapsed: 0.178 s
% 5.86/1.34 % (3069195)Peak memory usage: 12 MB
% 5.86/1.34 % (3069195)Instructions burned: 374 (million)
% 5.86/1.34 % (3069213)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=726651299:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/31Mi)
% 5.86/1.34 % (3069214)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.86/1.34 % (3069214)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.86/1.34 % (3069214)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=1880563695:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2990 on theBenchmark for (2990ds/1440Mi)
% 5.86/1.34 % (3069213)Instruction limit reached!
% 5.86/1.34 % (3069213)------------------------------
% 5.86/1.34 % (3069213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.34 % (3069213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.34 % (3069213)CaDiCaL version: 2.1.3
% 5.86/1.34 % (3069213)Termination reason: Instruction limit
% 5.86/1.34 % (3069213)Termination phase: Saturation
% 5.86/1.34 % (3069213)Time elapsed: 0.016 s
% 5.86/1.34 % (3069213)Peak memory usage: 12 MB
% 5.86/1.34 % (3069213)Instructions burned: 31 (million)
% 5.86/1.34 % (3069215)dis+10_2_sil=128000:si=on:random_seed=441751815:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2990 on theBenchmark for (2990ds/339Mi)
% 5.86/1.34 % (3069215)Refutation not found, incomplete strategy
% 5.86/1.34 % (3069215)------------------------------
% 5.86/1.34 % (3069215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.48 % (3069215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.48 % (3069215)CaDiCaL version: 2.1.3
% 6.07/1.48 % (3069215)Termination reason: Refutation not found, incomplete strategy
% 6.07/1.48 % (3069215)Time elapsed: 0.001 s
% 6.07/1.48 % (3069215)Peak memory usage: 11 MB
% 6.07/1.48 % (3069215)Instructions burned: 1 (million)
% 6.07/1.48 % (3069215)------------------------------
% 6.07/1.48 % (3069215)------------------------------
% 6.07/1.48 % (3069219)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=4158068374:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 6.07/1.48 % (3069220)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=2299611063:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/122Mi)
% 6.07/1.48 % (3069220)Refutation not found, incomplete strategy
% 6.07/1.48 % (3069220)------------------------------
% 6.07/1.48 % (3069220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.48 % (3069220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.48 % (3069220)CaDiCaL version: 2.1.3
% 6.07/1.48 % (3069220)Termination reason: Refutation not found, incomplete strategy
% 6.07/1.48 % (3069220)Time elapsed: 0.001 s
% 6.07/1.48 % (3069220)Peak memory usage: 11 MB
% 6.07/1.48 % (3069220)Instructions burned: 1 (million)
% 6.07/1.48 % (3069220)------------------------------
% 6.07/1.48 % (3069220)------------------------------
% 6.07/1.48 % (3069211)Instruction limit reached!
% 6.07/1.48 % (3069211)------------------------------
% 6.07/1.48 % (3069211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.48 % (3069211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.48 % (3069211)CaDiCaL version: 2.1.3
% 6.07/1.48 % (3069211)Termination reason: Instruction limit
% 6.07/1.48 % (3069211)Termination phase: Saturation
% 6.07/1.48 % (3069211)Time elapsed: 0.110 s
% 6.07/1.48 % (3069211)Peak memory usage: 12 MB
% 6.07/1.48 % (3069211)Instructions burned: 271 (million)
% 6.07/1.48 % (3069179)Instruction limit reached!
% 6.07/1.48 % (3069179)------------------------------
% 6.07/1.48 % (3069179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.48 % (3069179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.48 % (3069179)CaDiCaL version: 2.1.3
% 6.07/1.48 % (3069179)Termination reason: Instruction limit
% 6.07/1.48 % (3069179)Termination phase: Saturation
% 6.07/1.48 % (3069179)Time elapsed: 0.332 s
% 6.07/1.48 % (3069179)Peak memory usage: 13 MB
% 6.07/1.48 % (3069179)Instructions burned: 496 (million)
% 6.07/1.48 % (3069223)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=3915461016:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 6.07/1.48 % (3069223)Refutation not found, incomplete strategy
% 6.07/1.48 % (3069223)------------------------------
% 6.07/1.48 % (3069223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.48 % (3069223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.48 % (3069223)CaDiCaL version: 2.1.3
% 6.07/1.48 % (3069223)Termination reason: Refutation not found, incomplete strategy
% 6.07/1.48 % (3069223)Time elapsed: 0.002 s
% 6.07/1.48 % (3069223)Peak memory usage: 12 MB
% 6.07/1.48 % (3069223)Instructions burned: 2 (million)
% 6.07/1.48 % (3069223)------------------------------
% 6.07/1.48 % (3069223)------------------------------
% 6.07/1.48 % (3069224)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1058486603:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/232Mi)
% 6.07/1.48 % (3069224)Refutation not found, incomplete strategy
% 6.07/1.48 % (3069224)------------------------------
% 6.07/1.48 % (3069224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.48 % (3069224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.48 % (3069224)CaDiCaL version: 2.1.3
% 6.07/1.48 % (3069224)Termination reason: Refutation not found, incomplete strategy
% 6.07/1.48 % (3069224)Time elapsed: 0.001 s
% 6.07/1.48 % (3069224)Peak memory usage: 11 MB
% 6.07/1.48 % (3069224)Instructions burned: 1 (million)
% 6.07/1.48 % (3069224)------------------------------
% 6.07/1.48 % (3069224)------------------------------
% 6.43/1.57 % (3069227)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.43/1.57 % (3069227)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=1875820332:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2990 on theBenchmark for (2990ds/281Mi)
% 6.43/1.57 % (3069192)Instruction limit reached!
% 6.43/1.57 % (3069192)------------------------------
% 6.43/1.57 % (3069192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.57 % (3069192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.57 % (3069192)CaDiCaL version: 2.1.3
% 6.43/1.57 % (3069192)Termination reason: Instruction limit
% 6.43/1.57 % (3069192)Termination phase: Saturation
% 6.43/1.57 % (3069192)Time elapsed: 0.270 s
% 6.43/1.57 % (3069192)Peak memory usage: 13 MB
% 6.43/1.57 % (3069192)Instructions burned: 341 (million)
% 6.43/1.57 % (3069229)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1640842869:i=619:add=on:rtra=on_2989 on theBenchmark for (2989ds/619Mi)
% 6.43/1.57 % (3069226)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=3475141007:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/1254Mi)
% 6.43/1.57 % (3069226)Refutation not found, incomplete strategy
% 6.43/1.57 % (3069226)------------------------------
% 6.43/1.57 % (3069226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.57 % (3069226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.57 % (3069226)CaDiCaL version: 2.1.3
% 6.43/1.57 % (3069226)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.57 % (3069226)Time elapsed: 0.006 s
% 6.43/1.57 % (3069226)Peak memory usage: 11 MB
% 6.43/1.57 % (3069226)Instructions burned: 3 (million)
% 6.43/1.57 % (3069226)------------------------------
% 6.43/1.57 % (3069226)------------------------------
% 6.43/1.57 % (3069229)Refutation not found, incomplete strategy
% 6.43/1.57 % (3069229)------------------------------
% 6.43/1.57 % (3069229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.57 % (3069229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.57 % (3069229)CaDiCaL version: 2.1.3
% 6.43/1.57 % (3069229)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.57 % (3069229)Time elapsed: 0.011 s
% 6.43/1.57 % (3069229)Peak memory usage: 12 MB
% 6.43/1.57 % (3069229)Instructions burned: 3 (million)
% 6.43/1.57 % (3069229)------------------------------
% 6.43/1.57 % (3069229)------------------------------
% 6.43/1.57 % (3069219)Instruction limit reached!
% 6.43/1.57 % (3069219)------------------------------
% 6.43/1.57 % (3069219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.57 % (3069219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.57 % (3069219)CaDiCaL version: 2.1.3
% 6.43/1.57 % (3069219)Termination reason: Instruction limit
% 6.43/1.57 % (3069219)Termination phase: Saturation
% 6.43/1.57 % (3069219)Time elapsed: 0.074 s
% 6.43/1.57 % (3069219)Peak memory usage: 12 MB
% 6.43/1.57 % (3069219)Instructions burned: 111 (million)
% 6.43/1.57 % (3069231)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=3672944681:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/865Mi)
% 6.43/1.57 % (3069235)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3902767673:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/130Mi)
% 6.43/1.57 % (3069235)Refutation not found, incomplete strategy
% 6.43/1.57 % (3069235)------------------------------
% 6.43/1.57 % (3069235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.57 % (3069235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.57 % (3069235)CaDiCaL version: 2.1.3
% 6.43/1.57 % (3069235)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.57 % (3069235)Time elapsed: 0.001 s
% 6.43/1.57 % (3069235)Peak memory usage: 11 MB
% 6.43/1.57 % (3069235)Instructions burned: 1 (million)
% 6.43/1.57 % (3069235)------------------------------
% 6.43/1.57 % (3069235)------------------------------
% 6.43/1.57 % (3069234)lrs+10_1_sil=128000:si=on:urr=on:random_seed=788275731:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/212Mi)
% 7.17/1.72 % (3069236)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1862207555:st=1.5:i=346:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/346Mi)
% 7.17/1.72 % (3069236)Refutation not found, incomplete strategy
% 7.17/1.72 % (3069236)------------------------------
% 7.17/1.72 % (3069236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.72 % (3069236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.72 % (3069236)CaDiCaL version: 2.1.3
% 7.17/1.72 % (3069236)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.72 % (3069236)Time elapsed: 0.002 s
% 7.17/1.72 % (3069234)Refutation not found, incomplete strategy
% 7.17/1.72 % (3069234)------------------------------
% 7.17/1.72 % (3069234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.72 % (3069236)Peak memory usage: 11 MB
% 7.17/1.72 % (3069236)Instructions burned: 1 (million)
% 7.17/1.72 % (3069234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.72 % (3069234)CaDiCaL version: 2.1.3
% 7.17/1.72 % (3069234)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.72 % (3069234)Time elapsed: 0.005 s
% 7.17/1.72 % (3069234)Peak memory usage: 11 MB
% 7.17/1.72 % (3069234)Instructions burned: 1 (million)
% 7.17/1.72 % (3069234)------------------------------
% 7.17/1.72 % (3069234)------------------------------
% 7.17/1.72 % (3069236)------------------------------
% 7.17/1.72 % (3069236)------------------------------
% 7.17/1.72 % (3069239)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=728063775:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/152Mi)
% 7.17/1.72 % (3069242)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1095714801:i=75:ep=R:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/75Mi)
% 7.17/1.72 % (3069243)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2507669639:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/387Mi)
% 7.17/1.72 % (3069243)Refutation not found, incomplete strategy
% 7.17/1.72 % (3069243)------------------------------
% 7.17/1.72 % (3069243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.72 % (3069243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.72 % (3069243)CaDiCaL version: 2.1.3
% 7.17/1.72 % (3069243)Termination reason: Refutation not found, incomplete strategy
% 7.17/1.72 % (3069243)Time elapsed: 0.002 s
% 7.17/1.72 % (3069243)Peak memory usage: 11 MB
% 7.17/1.72 % (3069243)Instructions burned: 1 (million)
% 7.17/1.72 % (3069243)------------------------------
% 7.17/1.72 % (3069243)------------------------------
% 7.17/1.72 % (3069242)Instruction limit reached!
% 7.17/1.72 % (3069242)------------------------------
% 7.17/1.72 % (3069242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.72 % (3069242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.72 % (3069242)CaDiCaL version: 2.1.3
% 7.17/1.72 % (3069242)Termination reason: Instruction limit
% 7.17/1.72 % (3069242)Termination phase: Saturation
% 7.17/1.72 % (3069242)Time elapsed: 0.035 s
% 7.17/1.72 % (3069242)Peak memory usage: 12 MB
% 7.17/1.72 % (3069242)Instructions burned: 76 (million)
% 7.17/1.72 % (3069247)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=1608219333:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2988 on theBenchmark for (2988ds/148Mi)
% 7.17/1.72 % (3069248)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2619949335:i=161:piset=and:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/161Mi)
% 7.17/1.72 % (3069227)Instruction limit reached!
% 7.17/1.72 % (3069227)------------------------------
% 7.17/1.72 % (3069227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.17/1.72 % (3069227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.72 % (3069227)CaDiCaL version: 2.1.3
% 7.17/1.72 % (3069227)Termination reason: Instruction limit
% 7.17/1.72 % (3069227)Termination phase: Saturation
% 7.17/1.72 % (3069227)Time elapsed: 0.196 s
% 7.17/1.72 % (3069227)Peak memory usage: 13 MB
% 7.17/1.72 % (3069227)Instructions burned: 282 (million)
% 7.17/1.72 % (3069239)Instruction limit reached!
% 7.17/1.72 % (3069239)------------------------------
% 7.17/1.72 % (3069239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.94 % (3069239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.94 % (3069239)CaDiCaL version: 2.1.3
% 8.38/1.94 % (3069239)Termination reason: Instruction limit
% 8.38/1.94 % (3069239)Termination phase: Saturation
% 8.38/1.94 % (3069239)Time elapsed: 0.139 s
% 8.38/1.94 % (3069239)Peak memory usage: 12 MB
% 8.38/1.94 % (3069239)Instructions burned: 153 (million)
% 8.38/1.94 % (3069251)lrs+10_1_sil=128000:si=on:random_seed=1564445835:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/888Mi)
% 8.38/1.94 % (3069251)Refutation not found, incomplete strategy
% 8.38/1.94 % (3069251)------------------------------
% 8.38/1.94 % (3069251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.94 % (3069251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.94 % (3069251)CaDiCaL version: 2.1.3
% 8.38/1.94 % (3069251)Termination reason: Refutation not found, incomplete strategy
% 8.38/1.94 % (3069251)Time elapsed: 0.001 s
% 8.38/1.94 % (3069251)Peak memory usage: 11 MB
% 8.38/1.94 % (3069251)Instructions burned: 1 (million)
% 8.38/1.94 % (3069251)------------------------------
% 8.38/1.94 % (3069251)------------------------------
% 8.38/1.94 % (3069252)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=4285174866:i=136:add=on:ins=4:rtra=on:sup=off_2987 on theBenchmark for (2987ds/136Mi)
% 8.38/1.94 % (3069252)Refutation not found, incomplete strategy
% 8.38/1.94 % (3069252)------------------------------
% 8.38/1.94 % (3069252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.94 % (3069252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.94 % (3069252)CaDiCaL version: 2.1.3
% 8.38/1.94 % (3069252)Termination reason: Refutation not found, incomplete strategy
% 8.38/1.94 % (3069252)Time elapsed: 0.002 s
% 8.38/1.94 % (3069252)Peak memory usage: 12 MB
% 8.38/1.94 % (3069252)Instructions burned: 3 (million)
% 8.38/1.94 % (3069252)------------------------------
% 8.38/1.94 % (3069252)------------------------------
% 8.38/1.94 % (3069255)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=8145146:i=88:s2at=3:nm=2:rtra=on:rawr=on_2987 on theBenchmark for (2987ds/88Mi)
% 8.38/1.94 % (3069257)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2064566608:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2987 on theBenchmark for (2987ds/93Mi)
% 8.38/1.94 % (3069247)Instruction limit reached!
% 8.38/1.94 % (3069247)------------------------------
% 8.38/1.94 % (3069247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.94 % (3069247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.94 % (3069247)CaDiCaL version: 2.1.3
% 8.38/1.94 % (3069247)Termination reason: Instruction limit
% 8.38/1.94 % (3069247)Termination phase: Saturation
% 8.38/1.94 % (3069247)Time elapsed: 0.114 s
% 8.38/1.94 % (3069247)Peak memory usage: 12 MB
% 8.38/1.94 % (3069247)Instructions burned: 149 (million)
% 8.38/1.94 % (3069248)Instruction limit reached!
% 8.38/1.94 % (3069248)------------------------------
% 8.38/1.94 % (3069248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.94 % (3069248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.94 % (3069248)CaDiCaL version: 2.1.3
% 8.38/1.94 % (3069248)Termination reason: Instruction limit
% 8.38/1.94 % (3069248)Termination phase: Saturation
% 8.38/1.94 % (3069248)Time elapsed: 0.097 s
% 8.38/1.94 % (3069248)Peak memory usage: 12 MB
% 8.38/1.94 % (3069248)Instructions burned: 162 (million)
% 8.38/1.94 % (3069255)Instruction limit reached!
% 8.38/1.94 % (3069255)------------------------------
% 8.38/1.94 % (3069255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.94 % (3069255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.94 % (3069255)CaDiCaL version: 2.1.3
% 8.38/1.94 % (3069255)Termination reason: Instruction limit
% 8.38/1.94 % (3069255)Termination phase: Saturation
% 8.38/1.94 % (3069255)Time elapsed: 0.039 s
% 8.38/1.94 % (3069255)Peak memory usage: 12 MB
% 8.38/1.94 % (3069255)Instructions burned: 89 (million)
% 8.38/1.94 % (3069262)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1583730433:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/805Mi)
% 11.07/2.09 % (3069257)Instruction limit reached!
% 11.07/2.09 % (3069257)------------------------------
% 11.07/2.09 % (3069257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/2.09 % (3069257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.09 % (3069257)CaDiCaL version: 2.1.3
% 11.07/2.09 % (3069257)Termination reason: Instruction limit
% 11.07/2.09 % (3069257)Termination phase: Saturation
% 11.07/2.09 % (3069257)Time elapsed: 0.046 s
% 11.07/2.09 % (3069257)Peak memory usage: 12 MB
% 11.07/2.09 % (3069257)Instructions burned: 93 (million)
% 11.07/2.09 % (3069260)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2647109261:i=2186:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/2186Mi)
% 11.07/2.09 % (3069261)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=498561958:s2a=on:i=240:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/240Mi)
% 11.07/2.09 % (3069265)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 11.07/2.09 % (3069265)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=1963215629:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2986 on theBenchmark for (2986ds/391Mi)
% 11.07/2.09 % (3069265)Refutation not found, incomplete strategy
% 11.07/2.09 % (3069265)------------------------------
% 11.07/2.09 % (3069265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/2.09 % (3069265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.09 % (3069265)CaDiCaL version: 2.1.3
% 11.07/2.09 % (3069265)Termination reason: Refutation not found, incomplete strategy
% 11.07/2.09 % (3069265)Time elapsed: 0.001 s
% 11.07/2.09 % (3069265)Peak memory usage: 11 MB
% 11.07/2.09 % (3069265)Instructions burned: 2 (million)
% 11.07/2.09 % (3069265)------------------------------
% 11.07/2.09 % (3069265)------------------------------
% 11.07/2.09 % (3069268)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1464928318:i=355:av=off:fsr=off:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/355Mi)
% 11.07/2.09 % (3069231)Instruction limit reached!
% 11.07/2.09 % (3069231)------------------------------
% 11.07/2.09 % (3069231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/2.09 % (3069231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.09 % (3069231)CaDiCaL version: 2.1.3
% 11.07/2.09 % (3069231)Termination reason: Instruction limit
% 11.07/2.09 % (3069231)Termination phase: Saturation
% 11.07/2.09 % (3069231)Time elapsed: 0.326 s
% 11.07/2.09 % (3069231)Peak memory usage: 15 MB
% 11.07/2.09 % (3069231)Instructions burned: 865 (million)
% 11.07/2.09 % (3069270)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1334320051:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/314Mi)
% 11.07/2.09 % (3069270)Refutation not found, incomplete strategy
% 11.07/2.09 % (3069270)------------------------------
% 11.07/2.09 % (3069270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/2.09 % (3069270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.09 % (3069270)CaDiCaL version: 2.1.3
% 11.07/2.09 % (3069270)Termination reason: Refutation not found, incomplete strategy
% 11.07/2.09 % (3069270)Time elapsed: 0.001 s
% 11.07/2.09 % (3069270)Peak memory usage: 11 MB
% 11.07/2.09 % (3069270)Instructions burned: 1 (million)
% 11.07/2.09 % (3069270)------------------------------
% 11.07/2.09 % (3069270)------------------------------
% 11.07/2.09 % (3069214)Instruction limit reached!
% 11.07/2.09 % (3069214)------------------------------
% 11.07/2.09 % (3069214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/2.09 % (3069214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.09 % (3069214)CaDiCaL version: 2.1.3
% 11.07/2.09 % (3069214)Termination reason: Instruction limit
% 11.07/2.09 % (3069214)Termination phase: Saturation
% 11.07/2.09 % (3069214)Time elapsed: 0.502 s
% 11.07/2.09 % (3069214)Peak memory usage: 13 MB
% 11.07/2.09 % (3069214)Instructions burned: 1440 (million)
% 11.07/2.09 % (3069273)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=1873818235: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_2985 on theBenchmark for (2985ds/2470Mi)
% 11.67/2.26 % (3069272)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3010301956:s2a=on:i=251:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/251Mi)
% 11.67/2.26 % (3069261)Instruction limit reached!
% 11.67/2.26 % (3069261)------------------------------
% 11.67/2.26 % (3069261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.26 % (3069261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.26 % (3069261)CaDiCaL version: 2.1.3
% 11.67/2.26 % (3069261)Termination reason: Instruction limit
% 11.67/2.26 % (3069261)Termination phase: Saturation
% 11.67/2.26 % (3069261)Time elapsed: 0.141 s
% 11.67/2.26 % (3069261)Peak memory usage: 12 MB
% 11.67/2.26 % (3069261)Instructions burned: 240 (million)
% 11.67/2.26 % (3069276)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2089890650:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2985 on theBenchmark for (2985ds/673Mi)
% 11.67/2.26 % (3069268)Instruction limit reached!
% 11.67/2.26 % (3069268)------------------------------
% 11.67/2.26 % (3069268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.26 % (3069268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.26 % (3069268)CaDiCaL version: 2.1.3
% 11.67/2.26 % (3069268)Termination reason: Instruction limit
% 11.67/2.26 % (3069268)Termination phase: Saturation
% 11.67/2.26 % (3069268)Time elapsed: 0.157 s
% 11.67/2.26 % (3069268)Peak memory usage: 12 MB
% 11.67/2.26 % (3069268)Instructions burned: 356 (million)
% 11.67/2.26 % (3069278)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2911834036:i=116:ep=RSTC:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/116Mi)
% 11.67/2.26 % (3069278)Instruction limit reached!
% 11.67/2.26 % (3069278)------------------------------
% 11.67/2.26 % (3069278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.26 % (3069278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.26 % (3069278)CaDiCaL version: 2.1.3
% 11.67/2.26 % (3069278)Termination reason: Instruction limit
% 11.67/2.26 % (3069278)Termination phase: Saturation
% 11.67/2.26 % (3069278)Time elapsed: 0.050 s
% 11.67/2.26 % (3069278)Peak memory usage: 12 MB
% 11.67/2.26 % (3069278)Instructions burned: 118 (million)
% 11.67/2.26 % (3069280)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3107606897:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 11.67/2.26 % (3069262)Instruction limit reached!
% 11.67/2.26 % (3069262)------------------------------
% 11.67/2.26 % (3069262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.26 % (3069262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.26 % (3069262)CaDiCaL version: 2.1.3
% 11.67/2.26 % (3069262)Termination reason: Instruction limit
% 11.67/2.26 % (3069262)Termination phase: Saturation
% 11.67/2.26 % (3069262)Time elapsed: 0.326 s
% 11.67/2.26 % (3069262)Peak memory usage: 13 MB
% 11.67/2.26 % (3069262)Instructions burned: 806 (million)
% 11.67/2.26 % (3069282)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=1789219722: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_2983 on theBenchmark for (2983ds/30Mi)
% 11.67/2.26 % (3069272)Instruction limit reached!
% 11.67/2.26 % (3069272)------------------------------
% 11.67/2.26 % (3069272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.26 % (3069272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.26 % (3069272)CaDiCaL version: 2.1.3
% 11.67/2.26 % (3069272)Termination reason: Instruction limit
% 11.67/2.26 % (3069272)Termination phase: Saturation
% 11.67/2.26 % (3069272)Time elapsed: 0.196 s
% 11.67/2.26 % (3069272)Peak memory usage: 13 MB
% 11.67/2.26 % (3069272)Instructions burned: 251 (million)
% 11.67/2.26 % (3069282)Instruction limit reached!
% 11.67/2.26 % (3069282)------------------------------
% 11.67/2.26 % (3069282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.26 % (3069282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.39 % (3069282)CaDiCaL version: 2.1.3
% 12.17/2.39 % (3069282)Termination reason: Instruction limit
% 12.17/2.39 % (3069282)Termination phase: Saturation
% 12.17/2.39 % (3069282)Time elapsed: 0.022 s
% 12.17/2.39 % (3069282)Peak memory usage: 12 MB
% 12.17/2.39 % (3069282)Instructions burned: 30 (million)
% 12.17/2.39 % (3069284)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 12.17/2.39 % (3069284)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2809968500:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2983 on theBenchmark for (2983ds/39Mi)
% 12.17/2.39 % (3069285)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3126989317:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/365Mi)
% 12.17/2.39 % (3069280)Instruction limit reached!
% 12.17/2.39 % (3069280)------------------------------
% 12.17/2.39 % (3069280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.39 % (3069280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.39 % (3069280)CaDiCaL version: 2.1.3
% 12.17/2.39 % (3069280)Termination reason: Instruction limit
% 12.17/2.39 % (3069280)Termination phase: Saturation
% 12.17/2.39 % (3069280)Time elapsed: 0.119 s
% 12.17/2.39 % (3069280)Peak memory usage: 12 MB
% 12.17/2.39 % (3069280)Instructions burned: 272 (million)
% 12.17/2.39 % (3069288)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3429336054:i=158:av=off:rtra=on_2982 on theBenchmark for (2982ds/158Mi)
% 12.17/2.39 % (3069284)Instruction limit reached!
% 12.17/2.39 % (3069284)------------------------------
% 12.17/2.39 % (3069284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.39 % (3069284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.39 % (3069284)CaDiCaL version: 2.1.3
% 12.17/2.39 % (3069284)Termination reason: Instruction limit
% 12.17/2.39 % (3069284)Termination phase: Saturation
% 12.17/2.39 % (3069284)Time elapsed: 0.043 s
% 12.17/2.39 % (3069284)Peak memory usage: 12 MB
% 12.17/2.39 % (3069284)Instructions burned: 39 (million)
% 12.17/2.39 % (3069290)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
% 12.17/2.39 % (3069276)Instruction limit reached!
% 12.17/2.39 % (3069276)------------------------------
% 12.17/2.39 % (3069276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.39 % (3069276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.39 % (3069276)CaDiCaL version: 2.1.3
% 12.17/2.39 % (3069276)Termination reason: Instruction limit
% 12.17/2.39 % (3069276)Termination phase: Saturation
% 12.17/2.39 % (3069276)Time elapsed: 0.290 s
% 12.17/2.39 % (3069276)Peak memory usage: 12 MB
% 12.17/2.39 % (3069276)Instructions burned: 675 (million)
% 12.17/2.39 % (3069290)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=3777926280:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/252Mi)
% 12.17/2.39 % (3069291)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1476406198:i=213:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/213Mi)
% 12.17/2.39 % (3069291)Refutation not found, incomplete strategy
% 12.17/2.39 % (3069291)------------------------------
% 12.17/2.39 % (3069291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.39 % (3069291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.39 % (3069291)CaDiCaL version: 2.1.3
% 12.17/2.39 % (3069291)Termination reason: Refutation not found, incomplete strategy
% 12.17/2.39 % (3069291)Time elapsed: 0.001 s
% 12.17/2.39 % (3069291)Peak memory usage: 11 MB
% 12.17/2.39 % (3069291)Instructions burned: 1 (million)
% 12.17/2.39 % (3069291)------------------------------
% 12.17/2.39 % (3069291)------------------------------
% 12.17/2.39 % (3069294)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=229284217:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/160Mi)
% 12.17/2.39 % (3069294)Refutation not found, incomplete strategy
% 12.17/2.39 % (3069294)------------------------------
% 12.17/2.39 % (3069294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.19/2.50 % (3069294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.19/2.50 % (3069294)CaDiCaL version: 2.1.3
% 13.19/2.50 % (3069294)Termination reason: Refutation not found, incomplete strategy
% 13.19/2.50 % (3069294)Time elapsed: 0.001 s
% 13.19/2.50 % (3069294)Peak memory usage: 11 MB
% 13.19/2.50 % (3069294)Instructions burned: 1 (million)
% 13.19/2.50 % (3069294)------------------------------
% 13.19/2.50 % (3069294)------------------------------
% 13.19/2.50 % (3069296)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=813093357:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/763Mi)
% 13.19/2.50 % (3069285)Instruction limit reached!
% 13.19/2.50 % (3069285)------------------------------
% 13.19/2.50 % (3069285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.19/2.50 % (3069285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.19/2.50 % (3069285)CaDiCaL version: 2.1.3
% 13.19/2.50 % (3069285)Termination reason: Instruction limit
% 13.19/2.50 % (3069285)Termination phase: Saturation
% 13.19/2.50 % (3069285)Time elapsed: 0.136 s
% 13.19/2.50 % (3069285)Peak memory usage: 12 MB
% 13.19/2.50 % (3069285)Instructions burned: 365 (million)
% 13.19/2.50 % (3069288)Instruction limit reached!
% 13.19/2.50 % (3069288)------------------------------
% 13.19/2.50 % (3069288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.19/2.50 % (3069288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.19/2.50 % (3069288)CaDiCaL version: 2.1.3
% 13.19/2.50 % (3069288)Termination reason: Instruction limit
% 13.19/2.50 % (3069288)Termination phase: Saturation
% 13.19/2.50 % (3069288)Time elapsed: 0.115 s
% 13.19/2.50 % (3069288)Peak memory usage: 12 MB
% 13.19/2.50 % (3069288)Instructions burned: 159 (million)
% 13.19/2.50 % (3069298)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 13.19/2.50 % (3069298)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=4189719287:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2981 on theBenchmark for (2981ds/237Mi)
% 13.19/2.50 % (3069298)Refutation not found, incomplete strategy
% 13.19/2.50 % (3069298)------------------------------
% 13.19/2.50 % (3069298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.19/2.50 % (3069298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.19/2.50 % (3069298)CaDiCaL version: 2.1.3
% 13.19/2.50 % (3069298)Termination reason: Refutation not found, incomplete strategy
% 13.19/2.50 % (3069298)Time elapsed: 0.001 s
% 13.19/2.50 % (3069298)Peak memory usage: 11 MB
% 13.19/2.50 % (3069298)Instructions burned: 1 (million)
% 13.19/2.50 % (3069298)------------------------------
% 13.19/2.50 % (3069298)------------------------------
% 13.19/2.50 % (3069299)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=37004796:s2a=on:i=386:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/386Mi)
% 13.19/2.50 % (3069301)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=438440050:i=300:piset=and:nm=32:rtra=on_2981 on theBenchmark for (2981ds/300Mi)
% 13.19/2.50 % (3069290)Instruction limit reached!
% 13.19/2.50 % (3069290)------------------------------
% 13.19/2.50 % (3069290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.19/2.50 % (3069290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.19/2.50 % (3069290)CaDiCaL version: 2.1.3
% 13.19/2.50 % (3069290)Termination reason: Instruction limit
% 13.19/2.50 % (3069290)Termination phase: Saturation
% 13.19/2.50 % (3069290)Time elapsed: 0.175 s
% 13.19/2.50 % (3069290)Peak memory usage: 12 MB
% 13.19/2.50 % (3069290)Instructions burned: 253 (million)
% 13.19/2.50 % (3069304)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2537687772:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/567Mi)
% 13.19/2.50 % (3069304)Refutation not found, incomplete strategy
% 13.19/2.50 % (3069304)------------------------------
% 13.19/2.50 % (3069304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.19/2.50 % (3069304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.19/2.50 % (3069304)CaDiCaL version: 2.1.3
% 13.19/2.50 % (3069304)Termination reason: Refutation not found, incomplete strategy
% 14.08/2.64 % (3069304)Time elapsed: 0.005 s
% 14.08/2.64 % (3069304)Peak memory usage: 11 MB
% 14.08/2.64 % (3069304)Instructions burned: 2 (million)
% 14.08/2.64 % (3069304)------------------------------
% 14.08/2.64 % (3069304)------------------------------
% 14.08/2.64 % (3069301)Instruction limit reached!
% 14.08/2.64 % (3069301)------------------------------
% 14.08/2.64 % (3069301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.64 % (3069301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.64 % (3069301)CaDiCaL version: 2.1.3
% 14.08/2.64 % (3069301)Termination reason: Instruction limit
% 14.08/2.64 % (3069301)Termination phase: Saturation
% 14.08/2.64 % (3069301)Time elapsed: 0.147 s
% 14.08/2.64 % (3069301)Peak memory usage: 12 MB
% 14.08/2.64 % (3069301)Instructions burned: 300 (million)
% 14.08/2.64 % (3069306)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1086070227:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2979 on theBenchmark for (2979ds/379Mi)
% 14.08/2.64 % (3069306)Refutation not found, incomplete strategy
% 14.08/2.64 % (3069306)------------------------------
% 14.08/2.64 % (3069306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.64 % (3069306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.64 % (3069306)CaDiCaL version: 2.1.3
% 14.08/2.64 % (3069306)Termination reason: Refutation not found, incomplete strategy
% 14.08/2.64 % (3069306)Time elapsed: 0.001 s
% 14.08/2.64 % (3069306)Peak memory usage: 11 MB
% 14.08/2.64 % (3069306)Instructions burned: 1 (million)
% 14.08/2.64 % (3069306)------------------------------
% 14.08/2.64 % (3069306)------------------------------
% 14.08/2.64 % (3069309)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3601797401:i=478:bd=all:rtra=on_2979 on theBenchmark for (2979ds/478Mi)
% 14.08/2.64 % (3069309)Refutation not found, incomplete strategy
% 14.08/2.64 % (3069309)------------------------------
% 14.08/2.64 % (3069309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.64 % (3069309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.64 % (3069309)CaDiCaL version: 2.1.3
% 14.08/2.64 % (3069309)Termination reason: Refutation not found, incomplete strategy
% 14.08/2.64 % (3069309)Time elapsed: 0.002 s
% 14.08/2.64 % (3069309)Peak memory usage: 12 MB
% 14.08/2.64 % (3069309)Instructions burned: 2 (million)
% 14.08/2.64 % (3069309)------------------------------
% 14.08/2.64 % (3069309)------------------------------
% 14.08/2.64 % (3069308)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=824835427:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2979 on theBenchmark for (2979ds/429Mi)
% 14.08/2.64 % (3069311)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2060927689:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2979 on theBenchmark for (2979ds/445Mi)
% 14.08/2.64 % (3069299)Instruction limit reached!
% 14.08/2.64 % (3069299)------------------------------
% 14.08/2.64 % (3069299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.64 % (3069299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.64 % (3069299)CaDiCaL version: 2.1.3
% 14.08/2.64 % (3069299)Termination reason: Instruction limit
% 14.08/2.64 % (3069299)Termination phase: Saturation
% 14.08/2.64 % (3069299)Time elapsed: 0.222 s
% 14.08/2.64 % (3069299)Peak memory usage: 12 MB
% 14.08/2.64 % (3069299)Instructions burned: 386 (million)
% 14.08/2.64 % (3069296)Instruction limit reached!
% 14.08/2.64 % (3069296)------------------------------
% 14.08/2.64 % (3069296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.64 % (3069296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.08/2.64 % (3069296)CaDiCaL version: 2.1.3
% 14.08/2.64 % (3069296)Termination reason: Instruction limit
% 14.08/2.64 % (3069296)Termination phase: Saturation
% 14.08/2.64 % (3069296)Time elapsed: 0.261 s
% 14.08/2.64 % (3069296)Peak memory usage: 13 MB
% 14.08/2.64 % (3069296)Instructions burned: 764 (million)
% 14.08/2.64 % (3069315)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2686724624:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/302Mi)
% 14.08/2.64 % (3069315)Refutation not found, incomplete strategy
% 14.08/2.64 % (3069315)------------------------------
% 14.08/2.64 % (3069315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.08/2.64 % (3069315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.83 % (3069315)CaDiCaL version: 2.1.3
% 15.62/2.83 % (3069315)Termination reason: Refutation not found, incomplete strategy
% 15.62/2.83 % (3069315)Time elapsed: 0.001 s
% 15.62/2.83 % (3069315)Peak memory usage: 12 MB
% 15.62/2.83 % (3069315)Instructions burned: 1 (million)
% 15.62/2.83 % (3069315)------------------------------
% 15.62/2.83 % (3069315)------------------------------
% 15.62/2.83 % (3069314)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2359228944:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/71Mi)
% 15.62/2.83 % (3069317)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3510608376:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/4980Mi)
% 15.62/2.83 % (3069317)Refutation not found, incomplete strategy
% 15.62/2.83 % (3069317)------------------------------
% 15.62/2.83 % (3069317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.62/2.83 % (3069317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.83 % (3069317)CaDiCaL version: 2.1.3
% 15.62/2.83 % (3069317)Termination reason: Refutation not found, incomplete strategy
% 15.62/2.83 % (3069317)Time elapsed: 0.001 s
% 15.62/2.83 % (3069317)Peak memory usage: 12 MB
% 15.62/2.83 % (3069317)Instructions burned: 1 (million)
% 15.62/2.83 % (3069317)------------------------------
% 15.62/2.83 % (3069317)------------------------------
% 15.62/2.83 % (3069320)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
% 15.62/2.83 % (3069320)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 15.62/2.83 % (3069320)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=231984677:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2978 on theBenchmark for (2978ds/100Mi)
% 15.62/2.83 % (3069314)Instruction limit reached!
% 15.62/2.83 % (3069314)------------------------------
% 15.62/2.83 % (3069314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.62/2.83 % (3069314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.83 % (3069314)CaDiCaL version: 2.1.3
% 15.62/2.83 % (3069314)Termination reason: Instruction limit
% 15.62/2.83 % (3069314)Termination phase: Saturation
% 15.62/2.83 % (3069314)Time elapsed: 0.047 s
% 15.62/2.83 % (3069314)Peak memory usage: 12 MB
% 15.62/2.83 % (3069314)Instructions burned: 73 (million)
% 15.62/2.83 % (3069322)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=1738597211:i=76:piset=equals:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/76Mi)
% 15.62/2.83 % (3069320)Instruction limit reached!
% 15.62/2.83 % (3069320)------------------------------
% 15.62/2.83 % (3069320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.62/2.83 % (3069320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.83 % (3069320)CaDiCaL version: 2.1.3
% 15.62/2.83 % (3069320)Termination reason: Instruction limit
% 15.62/2.83 % (3069320)Termination phase: Saturation
% 15.62/2.83 % (3069320)Time elapsed: 0.034 s
% 15.62/2.83 % (3069320)Peak memory usage: 12 MB
% 15.62/2.83 % (3069320)Instructions burned: 101 (million)
% 15.62/2.83 % (3069324)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2165052721:i=289:rtra=on_2977 on theBenchmark for (2977ds/289Mi)
% 15.62/2.83 % (3069324)Refutation not found, incomplete strategy
% 15.62/2.83 % (3069324)------------------------------
% 15.62/2.83 % (3069324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.62/2.83 % (3069324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.83 % (3069324)CaDiCaL version: 2.1.3
% 15.62/2.83 % (3069324)Termination reason: Refutation not found, incomplete strategy
% 15.62/2.83 % (3069324)Time elapsed: 0.002 s
% 15.62/2.83 % (3069324)Peak memory usage: 12 MB
% 15.62/2.83 % (3069324)Instructions burned: 2 (million)
% 15.62/2.83 % (3069324)------------------------------
% 15.62/2.83 % (3069324)------------------------------
% 15.62/2.83 % (3069322)Instruction limit reached!
% 15.62/2.83 % (3069322)------------------------------
% 15.62/2.83 % (3069322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/2.93 % (3069322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/2.93 % (3069322)CaDiCaL version: 2.1.3
% 16.30/2.93 % (3069322)Termination reason: Instruction limit
% 16.30/2.93 % (3069322)Termination phase: Saturation
% 16.30/2.93 % (3069322)Time elapsed: 0.037 s
% 16.30/2.93 % (3069322)Peak memory usage: 12 MB
% 16.30/2.93 % (3069322)Instructions burned: 78 (million)
% 16.30/2.93 % (3069326)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=2300206950:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2977 on theBenchmark for (2977ds/493Mi)
% 16.30/2.93 % (3069327)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=2205254311:cond=on:i=34:hud=10:nm=10:rtra=on_2977 on theBenchmark for (2977ds/34Mi)
% 16.30/2.93 % (3069327)Instruction limit reached!
% 16.30/2.93 % (3069327)------------------------------
% 16.30/2.93 % (3069327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/2.93 % (3069327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/2.93 % (3069327)CaDiCaL version: 2.1.3
% 16.30/2.93 % (3069327)Termination reason: Instruction limit
% 16.30/2.93 % (3069327)Termination phase: Saturation
% 16.30/2.93 % (3069327)Time elapsed: 0.018 s
% 16.30/2.93 % (3069327)Peak memory usage: 12 MB
% 16.30/2.93 % (3069327)Instructions burned: 34 (million)
% 16.30/2.93 % (3069330)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 16.30/2.93 % (3069330)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=1420950529:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2977 on theBenchmark for (2977ds/372Mi)
% 16.30/2.93 % (3069330)Refutation not found, incomplete strategy
% 16.30/2.93 % (3069330)------------------------------
% 16.30/2.93 % (3069330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/2.93 % (3069330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/2.93 % (3069330)CaDiCaL version: 2.1.3
% 16.30/2.93 % (3069330)Termination reason: Refutation not found, incomplete strategy
% 16.30/2.93 % (3069330)Time elapsed: 0.002 s
% 16.30/2.93 % (3069330)Peak memory usage: 11 MB
% 16.30/2.93 % (3069330)Instructions burned: 3 (million)
% 16.30/2.93 % (3069330)------------------------------
% 16.30/2.93 % (3069330)------------------------------
% 16.30/2.93 % (3069332)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1264078166:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2977 on theBenchmark for (2977ds/670Mi)
% 16.30/2.93 % (3069311)Instruction limit reached!
% 16.30/2.93 % (3069311)------------------------------
% 16.30/2.93 % (3069311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/2.93 % (3069311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/2.93 % (3069311)CaDiCaL version: 2.1.3
% 16.30/2.93 % (3069311)Termination reason: Instruction limit
% 16.30/2.93 % (3069311)Termination phase: Saturation
% 16.30/2.93 % (3069311)Time elapsed: 0.247 s
% 16.30/2.93 % (3069311)Peak memory usage: 14 MB
% 16.30/2.93 % (3069311)Instructions burned: 446 (million)
% 16.30/2.93 % (3069334)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=102133040:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/647Mi)
% 16.30/2.93 % (3069334)Refutation not found, incomplete strategy
% 16.30/2.93 % (3069334)------------------------------
% 16.30/2.93 % (3069334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.30/2.93 % (3069334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.30/2.93 % (3069334)CaDiCaL version: 2.1.3
% 16.30/2.93 % (3069334)Termination reason: Refutation not found, incomplete strategy
% 16.30/2.93 % (3069334)Time elapsed: 0.001 s
% 16.30/2.93 % (3069334)Peak memory usage: 11 MB
% 16.30/2.93 % (3069334)Instructions burned: 1 (million)
% 16.30/2.93 % (3069334)------------------------------
% 16.30/2.93 % (3069334)------------------------------
% 16.30/2.93 % (3069336)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=1884661182:i=857:add=off:kws=frequency:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/857Mi)
% 17.92/3.14 % (3069308)Instruction limit reached!
% 17.92/3.14 % (3069308)------------------------------
% 17.92/3.14 % (3069308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.92/3.14 % (3069308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.92/3.14 % (3069308)CaDiCaL version: 2.1.3
% 17.92/3.14 % (3069308)Termination reason: Instruction limit
% 17.92/3.14 % (3069308)Termination phase: Saturation
% 17.92/3.14 % (3069308)Time elapsed: 0.346 s
% 17.92/3.14 % (3069308)Peak memory usage: 12 MB
% 17.92/3.14 % (3069308)Instructions burned: 430 (million)
% 17.92/3.14 % (3069338)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=2613625868:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2975 on theBenchmark for (2975ds/693Mi)
% 17.92/3.14 % (3069326)Instruction limit reached!
% 17.92/3.14 % (3069326)------------------------------
% 17.92/3.14 % (3069326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.92/3.14 % (3069326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.92/3.14 % (3069326)CaDiCaL version: 2.1.3
% 17.92/3.14 % (3069326)Termination reason: Instruction limit
% 17.92/3.14 % (3069326)Termination phase: Saturation
% 17.92/3.14 % (3069326)Time elapsed: 0.232 s
% 17.92/3.14 % (3069326)Peak memory usage: 12 MB
% 17.92/3.14 % (3069326)Instructions burned: 493 (million)
% 17.92/3.14 % (3069340)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=69787805:i=285:hud=10:bd=all:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/285Mi)
% 17.92/3.14 % (3069340)Refutation not found, incomplete strategy
% 17.92/3.14 % (3069340)------------------------------
% 17.92/3.14 % (3069340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.92/3.14 % (3069340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.92/3.14 % (3069340)CaDiCaL version: 2.1.3
% 17.92/3.14 % (3069340)Termination reason: Refutation not found, incomplete strategy
% 17.92/3.14 % (3069340)Time elapsed: 0.001 s
% 17.92/3.14 % (3069340)Peak memory usage: 11 MB
% 17.92/3.14 % (3069340)Instructions burned: 1 (million)
% 17.92/3.14 % (3069340)------------------------------
% 17.92/3.14 % (3069340)------------------------------
% 17.92/3.14 % (3069342)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 17.92/3.14 % (3069342)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=1335743126:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2974 on theBenchmark for (2974ds/52Mi)
% 17.92/3.14 % (3069342)Instruction limit reached!
% 17.92/3.14 % (3069342)------------------------------
% 17.92/3.14 % (3069342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.92/3.14 % (3069342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.92/3.14 % (3069342)CaDiCaL version: 2.1.3
% 17.92/3.14 % (3069342)Termination reason: Instruction limit
% 17.92/3.14 % (3069342)Termination phase: Saturation
% 17.92/3.14 % (3069342)Time elapsed: 0.023 s
% 17.92/3.14 % (3069342)Peak memory usage: 12 MB
% 17.92/3.14 % (3069342)Instructions burned: 55 (million)
% 17.92/3.14 % (3069332)Instruction limit reached!
% 17.92/3.14 % (3069332)------------------------------
% 17.92/3.14 % (3069332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.92/3.14 % (3069332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.92/3.14 % (3069332)CaDiCaL version: 2.1.3
% 17.92/3.14 % (3069332)Termination reason: Instruction limit
% 17.92/3.14 % (3069332)Termination phase: Saturation
% 17.92/3.14 % (3069332)Time elapsed: 0.240 s
% 17.92/3.14 % (3069332)Peak memory usage: 12 MB
% 17.92/3.14 % (3069332)Instructions burned: 673 (million)
% 17.92/3.14 % (3069345)dis+10_1_si=on:random_seed=2676195670:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2974 on theBenchmark for (2974ds/407Mi)
% 17.92/3.14 % (3069345)Refutation not found, incomplete strategy
% 17.92/3.14 % (3069345)------------------------------
% 17.92/3.14 % (3069345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.92/3.14 % (3069345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.92/3.14 % (3069345)CaDiCaL version: 2.1.3
% 17.92/3.14 % (3069345)Termination reason: Refutation not found, incomplete strategy
% 17.92/3.14 % (3069345)Time elapsed: 0.001 s
% 17.92/3.14 % (3069345)Peak memory usage: 11 MB
% 17.92/3.14 % (3069345)Instructions burned: 1 (million)
% 18.85/3.36 % (3069345)------------------------------
% 18.85/3.36 % (3069345)------------------------------
% 18.85/3.36 % (3069346)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=2164109542:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/2240Mi)
% 18.85/3.36 % (3069348)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=2891423838:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/336Mi)
% 18.85/3.36 % (3069348)Refutation not found, incomplete strategy
% 18.85/3.36 % (3069348)------------------------------
% 18.85/3.36 % (3069348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/3.36 % (3069348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/3.36 % (3069348)CaDiCaL version: 2.1.3
% 18.85/3.36 % (3069348)Termination reason: Refutation not found, incomplete strategy
% 18.85/3.36 % (3069348)Time elapsed: 0.001 s
% 18.85/3.36 % (3069348)Peak memory usage: 11 MB
% 18.85/3.36 % (3069348)Instructions burned: 1 (million)
% 18.85/3.36 % (3069348)------------------------------
% 18.85/3.36 % (3069348)------------------------------
% 18.85/3.36 % (3069273)Instruction limit reached!
% 18.85/3.36 % (3069273)------------------------------
% 18.85/3.36 % (3069273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/3.36 % (3069273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/3.36 % (3069273)CaDiCaL version: 2.1.3
% 18.85/3.36 % (3069273)Termination reason: Instruction limit
% 18.85/3.36 % (3069273)Termination phase: Saturation
% 18.85/3.36 % (3069273)Time elapsed: 1.160 s
% 18.85/3.36 % (3069273)Peak memory usage: 16 MB
% 18.85/3.36 % (3069273)Instructions burned: 2471 (million)
% 18.85/3.36 % (3069351)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3028009805:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2973 on theBenchmark for (2973ds/1142Mi)
% 18.85/3.36 % (3069352)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=2982057661:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/376Mi)
% 18.85/3.36 % (3069352)Refutation not found, incomplete strategy
% 18.85/3.36 % (3069352)------------------------------
% 18.85/3.36 % (3069352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/3.36 % (3069352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/3.36 % (3069352)CaDiCaL version: 2.1.3
% 18.85/3.36 % (3069352)Termination reason: Refutation not found, incomplete strategy
% 18.85/3.36 % (3069352)Time elapsed: 0.001 s
% 18.85/3.36 % (3069352)Peak memory usage: 11 MB
% 18.85/3.36 % (3069352)Instructions burned: 1 (million)
% 18.85/3.36 % (3069352)------------------------------
% 18.85/3.36 % (3069352)------------------------------
% 18.85/3.36 % (3069351)Refutation not found, incomplete strategy
% 18.85/3.36 % (3069351)------------------------------
% 18.85/3.36 % (3069351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/3.36 % (3069351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/3.36 % (3069351)CaDiCaL version: 2.1.3
% 18.85/3.36 % (3069351)Termination reason: Refutation not found, incomplete strategy
% 18.85/3.36 % (3069351)Time elapsed: 0.021 s
% 18.85/3.36 % (3069351)Peak memory usage: 12 MB
% 18.85/3.36 % (3069351)Instructions burned: 39 (million)
% 18.85/3.36 % (3069351)------------------------------
% 18.85/3.36 % (3069351)------------------------------
% 18.85/3.36 % (3069355)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3835203412:i=766:bd=all:rtra=on_2973 on theBenchmark for (2973ds/766Mi)
% 18.85/3.36 % (3069355)Refutation not found, incomplete strategy
% 18.85/3.36 % (3069355)------------------------------
% 18.85/3.36 % (3069355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.85/3.36 % (3069355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.85/3.36 % (3069355)CaDiCaL version: 2.1.3
% 18.85/3.36 % (3069355)Termination reason: Refutation not found, incomplete strategy
% 18.85/3.36 % (3069355)Time elapsed: 0.002 s
% 18.85/3.36 % (3069355)Peak memory usage: 12 MB
% 18.85/3.36 % (3069355)Instructions burned: 2 (million)
% 18.85/3.36 % (3069356)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 18.85/3.36 % (3069355)------------------------------
% 18.85/3.36 % (3069355)------------------------------
% 19.91/3.56 % (3069356)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3864961151: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_2973 on theBenchmark for (2973ds/959Mi)
% 19.91/3.56 % (3069356)Refutation not found, incomplete strategy
% 19.91/3.56 % (3069356)------------------------------
% 19.91/3.56 % (3069356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.91/3.56 % (3069356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.56 % (3069356)CaDiCaL version: 2.1.3
% 19.91/3.56 % (3069356)Termination reason: Refutation not found, incomplete strategy
% 19.91/3.56 % (3069356)Time elapsed: 0.001 s
% 19.91/3.56 % (3069356)Peak memory usage: 11 MB
% 19.91/3.56 % (3069356)Instructions burned: 1 (million)
% 19.91/3.56 % (3069356)------------------------------
% 19.91/3.56 % (3069356)------------------------------
% 19.91/3.56 % (3069358)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=4269045392:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2973 on theBenchmark for (2973ds/6359Mi)
% 19.91/3.56 % (3069360)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4183952020:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2973 on theBenchmark for (2973ds/35Mi)
% 19.91/3.56 % (3069360)Refutation not found, incomplete strategy
% 19.91/3.56 % (3069360)------------------------------
% 19.91/3.56 % (3069360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.91/3.56 % (3069360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.56 % (3069360)CaDiCaL version: 2.1.3
% 19.91/3.56 % (3069360)Termination reason: Refutation not found, incomplete strategy
% 19.91/3.56 % (3069360)Time elapsed: 0.001 s
% 19.91/3.56 % (3069360)Peak memory usage: 11 MB
% 19.91/3.56 % (3069360)Instructions burned: 1 (million)
% 19.91/3.56 % (3069360)------------------------------
% 19.91/3.56 % (3069360)------------------------------
% 19.91/3.56 % (3069363)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1421587780:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/53Mi)
% 19.91/3.56 % (3069260)Instruction limit reached!
% 19.91/3.56 % (3069260)------------------------------
% 19.91/3.56 % (3069260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.91/3.56 % (3069260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.56 % (3069260)CaDiCaL version: 2.1.3
% 19.91/3.56 % (3069260)Termination reason: Instruction limit
% 19.91/3.56 % (3069260)Termination phase: Saturation
% 19.91/3.56 % (3069260)Time elapsed: 1.400 s
% 19.91/3.56 % (3069260)Peak memory usage: 13 MB
% 19.91/3.56 % (3069260)Instructions burned: 2187 (million)
% 19.91/3.56 % (3069365)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3285847501:s2a=on:i=876:s2at=6:nm=2:rtra=on_2972 on theBenchmark for (2972ds/876Mi)
% 19.91/3.56 % (3069363)Instruction limit reached!
% 19.91/3.56 % (3069363)------------------------------
% 19.91/3.56 % (3069363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.91/3.56 % (3069363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.56 % (3069363)CaDiCaL version: 2.1.3
% 19.91/3.56 % (3069363)Termination reason: Instruction limit
% 19.91/3.56 % (3069363)Termination phase: Saturation
% 19.91/3.56 % (3069363)Time elapsed: 0.047 s
% 19.91/3.56 % (3069363)Peak memory usage: 12 MB
% 19.91/3.56 % (3069363)Instructions burned: 53 (million)
% 19.91/3.56 % (3069367)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2812777365:i=57:ep=R:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/57Mi)
% 19.91/3.56 % (3069367)Instruction limit reached!
% 19.91/3.56 % (3069367)------------------------------
% 19.91/3.56 % (3069367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.91/3.56 % (3069367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.56 % (3069367)CaDiCaL version: 2.1.3
% 19.91/3.56 % (3069367)Termination reason: Instruction limit
% 19.91/3.56 % (3069367)Termination phase: Saturation
% 19.91/3.56 % (3069367)Time elapsed: 0.056 s
% 19.91/3.56 % (3069367)Peak memory usage: 12 MB
% 19.91/3.56 % (3069367)Instructions burned: 57 (million)
% 19.91/3.56 % (3069369)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 20.69/3.66 % (3069369)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3262349073:i=306:bd=all:rtra=on_2971 on theBenchmark for (2971ds/306Mi)
% 20.69/3.66 % (3069369)Refutation not found, incomplete strategy
% 20.69/3.66 % (3069369)------------------------------
% 20.69/3.66 % (3069369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.66 % (3069369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.66 % (3069369)CaDiCaL version: 2.1.3
% 20.69/3.66 % (3069369)Termination reason: Refutation not found, incomplete strategy
% 20.69/3.66 % (3069369)Time elapsed: 0.002 s
% 20.69/3.66 % (3069369)Peak memory usage: 12 MB
% 20.69/3.66 % (3069369)Instructions burned: 2 (million)
% 20.69/3.66 % (3069369)------------------------------
% 20.69/3.66 % (3069369)------------------------------
% 20.69/3.66 % (3069371)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=908392538:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/262Mi)
% 20.69/3.66 % (3069371)Refutation not found, incomplete strategy
% 20.69/3.66 % (3069371)------------------------------
% 20.69/3.66 % (3069371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.66 % (3069371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.66 % (3069371)CaDiCaL version: 2.1.3
% 20.69/3.66 % (3069371)Termination reason: Refutation not found, incomplete strategy
% 20.69/3.66 % (3069371)Time elapsed: 0.001 s
% 20.69/3.66 % (3069371)Peak memory usage: 11 MB
% 20.69/3.66 % (3069371)Instructions burned: 1 (million)
% 20.69/3.66 % (3069371)------------------------------
% 20.69/3.66 % (3069371)------------------------------
% 20.69/3.66 % (3069373)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 20.69/3.66 % (3069373)ott+1002_16_sil=128000:si=on:random_seed=272785360:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2970 on theBenchmark for (2970ds/409Mi)
% 20.69/3.66 % (3069338)Instruction limit reached!
% 20.69/3.66 % (3069338)------------------------------
% 20.69/3.66 % (3069338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.66 % (3069338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.66 % (3069338)CaDiCaL version: 2.1.3
% 20.69/3.66 % (3069338)Termination reason: Instruction limit
% 20.69/3.66 % (3069338)Termination phase: Saturation
% 20.69/3.66 % (3069338)Time elapsed: 0.487 s
% 20.69/3.66 % (3069338)Peak memory usage: 12 MB
% 20.69/3.66 % (3069338)Instructions burned: 695 (million)
% 20.69/3.66 % (3069375)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2435338572:s2a=on:i=381:rtra=on_2970 on theBenchmark for (2970ds/381Mi)
% 20.69/3.66 % (3069336)Instruction limit reached!
% 20.69/3.66 % (3069336)------------------------------
% 20.69/3.66 % (3069336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.66 % (3069336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.66 % (3069336)CaDiCaL version: 2.1.3
% 20.69/3.66 % (3069336)Termination reason: Instruction limit
% 20.69/3.66 % (3069336)Termination phase: Saturation
% 20.69/3.66 % (3069336)Time elapsed: 0.600 s
% 20.69/3.66 % (3069336)Peak memory usage: 12 MB
% 20.69/3.66 % (3069336)Instructions burned: 857 (million)
% 20.69/3.66 % (3069377)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3126551753:cond=on:i=324:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/324Mi)
% 20.69/3.66 % (3069373)Instruction limit reached!
% 20.69/3.66 % (3069373)------------------------------
% 20.69/3.66 % (3069373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.69/3.66 % (3069373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.66 % (3069373)CaDiCaL version: 2.1.3
% 20.69/3.66 % (3069373)Termination reason: Instruction limit
% 20.69/3.66 % (3069373)Termination phase: Saturation
% 20.69/3.66 % (3069373)Time elapsed: 0.148 s
% 20.69/3.66 % (3069373)Peak memory usage: 13 MB
% 20.69/3.66 % (3069373)Instructions burned: 412 (million)
% 20.69/3.66 % (3069379)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3522002986:i=240:kws=inv_precedence:rtra=on_2969 on theBenchmark for (2969ds/240Mi)
% 20.69/3.66 % (3069379)Refutation not found, incomplete strategy
% 20.69/3.66 % (3069379)------------------------------
% 20.69/3.66 % (3069379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.91 % (3069379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/3.91 % (3069379)CaDiCaL version: 2.1.3
% 22.26/3.91 % (3069379)Termination reason: Refutation not found, incomplete strategy
% 22.26/3.91 % (3069379)Time elapsed: 0.002 s
% 22.26/3.91 % (3069379)Peak memory usage: 12 MB
% 22.26/3.91 % (3069379)Instructions burned: 2 (million)
% 22.26/3.91 % (3069379)------------------------------
% 22.26/3.91 % (3069379)------------------------------
% 22.26/3.91 % (3069381)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 22.26/3.91 % (3069381)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2339485705:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/124Mi)
% 22.26/3.91 % (3069365)Instruction limit reached!
% 22.26/3.91 % (3069365)------------------------------
% 22.26/3.91 % (3069365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.91 % (3069365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/3.91 % (3069365)CaDiCaL version: 2.1.3
% 22.26/3.91 % (3069365)Termination reason: Instruction limit
% 22.26/3.91 % (3069365)Termination phase: Saturation
% 22.26/3.91 % (3069365)Time elapsed: 0.384 s
% 22.26/3.91 % (3069365)Peak memory usage: 13 MB
% 22.26/3.91 % (3069365)Instructions burned: 876 (million)
% 22.26/3.91 % (3069383)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3148138550:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2968 on theBenchmark for (2968ds/223Mi)
% 22.26/3.91 % (3069381)Instruction limit reached!
% 22.26/3.91 % (3069381)------------------------------
% 22.26/3.91 % (3069381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.91 % (3069381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/3.91 % (3069381)CaDiCaL version: 2.1.3
% 22.26/3.91 % (3069381)Termination reason: Instruction limit
% 22.26/3.91 % (3069381)Termination phase: Saturation
% 22.26/3.91 % (3069381)Time elapsed: 0.048 s
% 22.26/3.91 % (3069381)Peak memory usage: 12 MB
% 22.26/3.91 % (3069381)Instructions burned: 125 (million)
% 22.26/3.91 % (3069385)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2630325241:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2968 on theBenchmark for (2968ds/282Mi)
% 22.26/3.91 % (3069383)Instruction limit reached!
% 22.26/3.91 % (3069383)------------------------------
% 22.26/3.91 % (3069383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.91 % (3069383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/3.91 % (3069383)CaDiCaL version: 2.1.3
% 22.26/3.91 % (3069383)Termination reason: Instruction limit
% 22.26/3.91 % (3069383)Termination phase: Saturation
% 22.26/3.91 % (3069383)Time elapsed: 0.076 s
% 22.26/3.91 % (3069383)Peak memory usage: 13 MB
% 22.26/3.91 % (3069383)Instructions burned: 225 (million)
% 22.26/3.91 % (3069387)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3556797340:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/464Mi)
% 22.26/3.91 % (3069387)Refutation not found, incomplete strategy
% 22.26/3.91 % (3069387)------------------------------
% 22.26/3.91 % (3069387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.91 % (3069387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/3.91 % (3069387)CaDiCaL version: 2.1.3
% 22.26/3.91 % (3069387)Termination reason: Refutation not found, incomplete strategy
% 22.26/3.91 % (3069387)Time elapsed: 0.001 s
% 22.26/3.91 % (3069387)Peak memory usage: 11 MB
% 22.26/3.91 % (3069387)Instructions burned: 1 (million)
% 22.26/3.91 % (3069387)------------------------------
% 22.26/3.91 % (3069387)------------------------------
% 22.26/3.91 % (3069390)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=1096568250:i=88:s2at=3:nm=2:rtra=on:rawr=on_2967 on theBenchmark for (2967ds/88Mi)
% 22.26/3.91 % (3069375)Instruction limit reached!
% 22.26/3.91 % (3069375)------------------------------
% 22.26/3.91 % (3069375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.91 % (3069375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/3.91 % (3069375)CaDiCaL version: 2.1.3
% 22.26/3.91 % (3069375)Termination reason: Instruction limit
% 22.26/3.91 % (3069375)Termination phase: Saturation
% 24.62/4.17 % (3069375)Time elapsed: 0.328 s
% 24.62/4.17 % (3069375)Peak memory usage: 12 MB
% 24.62/4.17 % (3069375)Instructions burned: 381 (million)
% 24.62/4.17 % (3069377)Instruction limit reached!
% 24.62/4.17 % (3069377)------------------------------
% 24.62/4.17 % (3069377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/4.17 % (3069377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/4.17 % (3069377)CaDiCaL version: 2.1.3
% 24.62/4.17 % (3069377)Termination reason: Instruction limit
% 24.62/4.17 % (3069377)Termination phase: Saturation
% 24.62/4.17 % (3069377)Time elapsed: 0.284 s
% 24.62/4.17 % (3069377)Peak memory usage: 12 MB
% 24.62/4.17 % (3069377)Instructions burned: 324 (million)
% 24.62/4.17 % (3069390)Instruction limit reached!
% 24.62/4.17 % (3069390)------------------------------
% 24.62/4.17 % (3069390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/4.17 % (3069390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/4.17 % (3069390)CaDiCaL version: 2.1.3
% 24.62/4.17 % (3069390)Termination reason: Instruction limit
% 24.62/4.17 % (3069390)Termination phase: Saturation
% 24.62/4.18 % (3069390)Time elapsed: 0.039 s
% 24.62/4.18 % (3069390)Peak memory usage: 12 MB
% 24.62/4.18 % (3069390)Instructions burned: 89 (million)
% 24.62/4.18 % (3069392)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=641885217:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2966 on theBenchmark for (2966ds/280Mi)
% 24.62/4.18 % (3069393)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 24.62/4.18 % (3069393)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=335937838:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/4386Mi)
% 24.62/4.18 % (3069394)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 24.62/4.18 % (3069394)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 24.62/4.18 % (3069394)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=3290345500:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2966 on theBenchmark for (2966ds/483Mi)
% 24.62/4.18 % (3069394)Refutation not found, incomplete strategy
% 24.62/4.18 % (3069394)------------------------------
% 24.62/4.18 % (3069394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/4.18 % (3069394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/4.18 % (3069394)CaDiCaL version: 2.1.3
% 24.62/4.18 % (3069394)Termination reason: Refutation not found, incomplete strategy
% 24.62/4.18 % (3069394)Time elapsed: 0.001 s
% 24.62/4.18 % (3069394)Peak memory usage: 12 MB
% 24.62/4.18 % (3069394)Instructions burned: 1 (million)
% 24.62/4.18 % (3069394)------------------------------
% 24.62/4.18 % (3069394)------------------------------
% 24.62/4.18 % (3069398)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3282648150:i=73:rtra=on_2966 on theBenchmark for (2966ds/73Mi)
% 24.62/4.18 % (3069398)Refutation not found, incomplete strategy
% 24.62/4.18 % (3069398)------------------------------
% 24.62/4.18 % (3069398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/4.18 % (3069398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/4.18 % (3069398)CaDiCaL version: 2.1.3
% 24.62/4.18 % (3069398)Termination reason: Refutation not found, incomplete strategy
% 24.62/4.18 % (3069398)Time elapsed: 0.002 s
% 24.62/4.18 % (3069398)Peak memory usage: 12 MB
% 24.62/4.18 % (3069398)Instructions burned: 2 (million)
% 24.62/4.18 % (3069398)------------------------------
% 24.62/4.18 % (3069398)------------------------------
% 24.62/4.18 % (3069400)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=334311923:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2966 on theBenchmark for (2966ds/176Mi)
% 24.62/4.18 % (3069385)Instruction limit reached!
% 24.62/4.18 % (3069385)------------------------------
% 24.62/4.18 % (3069385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/4.18 % (3069385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069385)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069385)Termination reason: Instruction limit
% 25.17/4.38 % (3069385)Termination phase: Saturation
% 25.17/4.38 % (3069385)Time elapsed: 0.212 s
% 25.17/4.38 % (3069385)Peak memory usage: 13 MB
% 25.17/4.38 % (3069385)Instructions burned: 282 (million)
% 25.17/4.38 % (3069402)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 25.17/4.38 % (3069402)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=693883217:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2966 on theBenchmark for (2966ds/39Mi)
% 25.17/4.38 % (3069392)Instruction limit reached!
% 25.17/4.38 % (3069392)------------------------------
% 25.17/4.38 % (3069392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069392)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069392)Termination reason: Instruction limit
% 25.17/4.38 % (3069392)Termination phase: Saturation
% 25.17/4.38 % (3069392)Time elapsed: 0.138 s
% 25.17/4.38 % (3069392)Peak memory usage: 12 MB
% 25.17/4.38 % (3069392)Instructions burned: 280 (million)
% 25.17/4.38 % (3069404)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=361253408:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/708Mi)
% 25.17/4.38 % (3069402)Instruction limit reached!
% 25.17/4.38 % (3069402)------------------------------
% 25.17/4.38 % (3069402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069402)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069402)Termination reason: Instruction limit
% 25.17/4.38 % (3069402)Termination phase: Saturation
% 25.17/4.38 % (3069402)Time elapsed: 0.046 s
% 25.17/4.38 % (3069402)Peak memory usage: 12 MB
% 25.17/4.38 % (3069402)Instructions burned: 41 (million)
% 25.17/4.38 % (3069400)Instruction limit reached!
% 25.17/4.38 % (3069400)------------------------------
% 25.17/4.38 % (3069400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069400)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069400)Termination reason: Instruction limit
% 25.17/4.38 % (3069400)Termination phase: Saturation
% 25.17/4.38 % (3069400)Time elapsed: 0.122 s
% 25.17/4.38 % (3069400)Peak memory usage: 12 MB
% 25.17/4.38 % (3069400)Instructions burned: 176 (million)
% 25.17/4.38 % (3069406)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
% 25.17/4.38 % (3069407)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=218419880:i=823:fsr=off:rtra=on_2965 on theBenchmark for (2965ds/823Mi)
% 25.17/4.38 % (3069406)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=780597225:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/252Mi)
% 25.17/4.38 % (3069406)Instruction limit reached!
% 25.17/4.38 % (3069406)------------------------------
% 25.17/4.38 % (3069406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069406)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069406)Termination reason: Instruction limit
% 25.17/4.38 % (3069406)Termination phase: Saturation
% 25.17/4.38 % (3069406)Time elapsed: 0.111 s
% 25.17/4.38 % (3069406)Peak memory usage: 12 MB
% 25.17/4.38 % (3069406)Instructions burned: 253 (million)
% 25.17/4.38 % (3069410)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 25.17/4.38 % (3069410)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=930753658:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/16202Mi)
% 25.17/4.38 % (3069410)Refutation not found, incomplete strategy
% 25.17/4.38 % (3069410)------------------------------
% 25.17/4.38 % (3069410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069410)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069410)Termination reason: Refutation not found, incomplete strategy
% 25.17/4.38 % (3069410)Time elapsed: 0.001 s
% 25.17/4.38 % (3069410)Peak memory usage: 11 MB
% 25.17/4.38 % (3069410)Instructions burned: 1 (million)
% 25.17/4.38 % (3069410)------------------------------
% 25.17/4.38 % (3069410)------------------------------
% 25.17/4.38 % (3069412)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1399799420:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/300Mi)
% 25.17/4.38 % (3069412)Instruction limit reached!
% 25.17/4.38 % (3069412)------------------------------
% 25.17/4.38 % (3069412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069412)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069412)Termination reason: Instruction limit
% 25.17/4.38 % (3069412)Termination phase: Saturation
% 25.17/4.38 % (3069412)Time elapsed: 0.152 s
% 25.17/4.38 % (3069412)Peak memory usage: 12 MB
% 25.17/4.38 % (3069412)Instructions burned: 300 (million)
% 25.17/4.38 % (3069414)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 25.17/4.38 % (3069414)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 25.17/4.38 % (3069414)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=4208660470:i=177:add=on:bd=preordered:rtra=on:rawr=on_2961 on theBenchmark for (2961ds/177Mi)
% 25.17/4.38 % (3069407)Instruction limit reached!
% 25.17/4.38 % (3069407)------------------------------
% 25.17/4.38 % (3069407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069407)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069407)Termination reason: Instruction limit
% 25.17/4.38 % (3069407)Termination phase: Saturation
% 25.17/4.38 % (3069407)Time elapsed: 0.347 s
% 25.17/4.38 % (3069407)Peak memory usage: 13 MB
% 25.17/4.38 % (3069407)Instructions burned: 825 (million)
% 25.17/4.38 % (3069416)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=875507680:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/715Mi)
% 25.17/4.38 % (3069416)Refutation not found, incomplete strategy
% 25.17/4.38 % (3069416)------------------------------
% 25.17/4.38 % (3069416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069416)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069416)Termination reason: Refutation not found, incomplete strategy
% 25.17/4.38 % (3069416)Time elapsed: 0.001 s
% 25.17/4.38 % (3069416)Peak memory usage: 11 MB
% 25.17/4.38 % (3069416)Instructions burned: 2 (million)
% 25.17/4.38 % (3069416)------------------------------
% 25.17/4.38 % (3069416)------------------------------
% 25.17/4.38 % (3069404)Instruction limit reached!
% 25.17/4.38 % (3069404)------------------------------
% 25.17/4.38 % (3069404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069404)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069404)Termination reason: Instruction limit
% 25.17/4.38 % (3069404)Termination phase: Saturation
% 25.17/4.38 % (3069404)Time elapsed: 0.409 s
% 25.17/4.38 % (3069404)Peak memory usage: 13 MB
% 25.17/4.38 % (3069404)Instructions burned: 708 (million)
% 25.17/4.38 % (3069207)Instruction limit reached!
% 25.17/4.38 % (3069207)------------------------------
% 25.17/4.38 % (3069207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069207)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069207)Termination reason: Instruction limit
% 25.17/4.38 % (3069207)Termination phase: Saturation
% 25.17/4.38 % (3069207)Time elapsed: 3.079 s
% 25.17/4.38 % (3069207)Peak memory usage: 16 MB
% 25.17/4.38 % (3069207)Instructions burned: 9842 (million)
% 25.17/4.38 % (3069418)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 25.17/4.38 % (3069418)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 25.17/4.38 % (3069419)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2159281382:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2961 on theBenchmark for (2961ds/606Mi)
% 25.17/4.38 % (3069420)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 25.17/4.38 % (3069418)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=2573034834:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2961 on theBenchmark for (2961ds/230Mi)
% 25.17/4.38 % (3069418)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 25.17/4.38 % (3069420)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=1133207750:lrd=on:i=841:nm=0:rtra=on_2960 on theBenchmark for (2960ds/841Mi)
% 25.17/4.38 % (3069414)Instruction limit reached!
% 25.17/4.38 % (3069414)------------------------------
% 25.17/4.38 % (3069414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069414)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069414)Termination reason: Instruction limit
% 25.17/4.38 % (3069414)Termination phase: Saturation
% 25.17/4.38 % (3069414)Time elapsed: 0.084 s
% 25.17/4.38 % (3069414)Peak memory usage: 13 MB
% 25.17/4.38 % (3069414)Instructions burned: 178 (million)
% 25.17/4.38 % (3069424)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2684591676:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2960 on theBenchmark for (2960ds/445Mi)
% 25.17/4.38 % (3069358) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3069034-3069358"...
% 25.17/4.38 % (3069418)Instruction limit reached!
% 25.17/4.38 % (3069418)------------------------------
% 25.17/4.38 % (3069418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.38 % (3069418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.38 % (3069418)CaDiCaL version: 2.1.3
% 25.17/4.38 % (3069418)Termination reason: Instruction limit
% 25.17/4.38 % (3069418)Termination phase: Saturation
% 25.17/4.38 % (3069418)Time elapsed: 0.155 s
% 25.17/4.38 % (3069418)Peak memory usage: 12 MB
% 25.17/4.38 % (3069418)Instructions burned: 230 (million)
% 25.17/4.38 % (3069426)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2627135552:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2959 on theBenchmark for (2959ds/71Mi)
% 25.17/4.38 % (3069358)...printing done.
% 25.17/4.38 % (3069358)Refutation found. Thanks to Tanya!
% 25.17/4.38 % SZS status Unsatisfiable for theBenchmark
% 25.17/4.38 % SZS output start Proof for theBenchmark
% See solution above
% 26.35/4.41 % (3069358)------------------------------
% 26.35/4.41 % (3069358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.35/4.41 % (3069358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.41 % (3069358)CaDiCaL version: 2.1.3
% 26.35/4.41 % (3069358)Termination reason: Refutation
% 26.35/4.41 % (3069358)Time elapsed: 1.430 s
% 26.35/4.41 % (3069358)Peak memory usage: 18 MB
% 26.35/4.41 % (3069358)Instructions burned: 2673 (million)
% 26.35/4.41 % (3069034)Success in time 4.129 s
% 26.35/4.41 % Vampire exiting
%------------------------------------------------------------------------------