%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA114^1 : 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 : n015.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 07:54:56 AM UTC 2026
% Result : Unsatisfiable 33.18s 5.07s
% Output : Refutation 33.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( inj
= ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) )
= surj ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X2: $i,X4: $i,X1: $i,X0: $i,X3: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X3 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X3 )
| ~ ( r @ X3 @ X0 )
| ~ ( r @ X3 @ X1 )
| ~ ( r @ X2 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(rectify,[],[f4]) ).
thf(f10,plain,
! [X1: $i,X0: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f12,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f14,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X2 @ X0 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X3 @ X0 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X4 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X4 @ X1 ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
! [X2: $i,X1: $i,X3: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(flattening,[],[f8]) ).
thf(f18,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f12]) ).
thf(f19,plain,
! [X4: $i,X3: $i,X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(flattening,[],[f16]) ).
thf(f20,plain,
( ( $true
!= ( surj @ sK0 ) )
& ( $true
= ( inj @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f18]) ).
thf(f21,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(rectify,[],[f10]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X1 @ X4 )
!= $true )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X0 @ X2 ) ) ),
inference(rectify,[],[f17]) ).
thf(f24,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f25,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f26,plain,
( $true
= ( inj @ sK0 ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f27,plain,
( $true
!= ( surj @ sK0 ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f33,plain,
( $true
!= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f27,f25]) ).
thf(f34,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f26,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,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
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] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
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] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
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] :
( ( $true
= ( X2 = X1 ) )
| ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( 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,[],[f28,f40]) ).
thf(f50,plain,
! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f40]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f28,f48]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X0 @ X3 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f30,f28]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X0 @ X3 )
!= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f30,f49]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f60,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X3 @ sK1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(constrained_superposition,[],[f29,f50]) ).
thf(f61,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X3 @ sK1 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f62,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f63,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f64,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(f71,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f30,f62]) ).
thf(f73,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f71]) ).
thf(f75,definition,
( spl2_1
<=> ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f76,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_1 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f82,definition,
( spl2_3
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
thf(f83,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f85,definition,
( spl2_4
<=> ! [X2: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f86,plain,
( ! [X2: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f85]) ).
thf(f87,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f73,f85,f82]) ).
thf(f88,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| spl2_1 ),
inference(constrained_superposition,[],[f76,f49]) ).
thf(f91,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f88]) ).
thf(f94,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| spl2_1 ),
inference(constrained_superposition,[],[f29,f91]) ).
thf(f95,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f99,definition,
( spl2_5
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f100,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f102,definition,
( spl2_6
<=> ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f103,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f121,definition,
( spl2_8
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f122,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_8 ),
inference(avatar_component_clause,[],[f121]) ).
thf(f124,definition,
( spl2_9
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f125,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f130,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_1 ),
inference(constrained_superposition,[],[f95,f63]) ).
thf(f133,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f29,f63]) ).
thf(f136,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f130]) ).
thf(f137,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f133]) ).
thf(f138,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| spl2_1 ),
inference(constrained_superposition,[],[f136,f63]) ).
thf(f139,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_1 ),
inference(duplicate_literal_removal,[],[f138]) ).
thf(f140,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f139]) ).
thf(f142,definition,
( spl2_10
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f143,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_10 ),
inference(avatar_component_clause,[],[f142]) ).
thf(f145,definition,
( spl2_11
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f146,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f145]) ).
thf(f147,plain,
( ~ spl2_10
| spl2_11
| spl2_1 ),
inference(avatar_split_clause,[],[f140,f75,f145,f142]) ).
thf(f148,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_10 ),
inference(constrained_superposition,[],[f143,f50]) ).
thf(f149,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_10 ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f150,plain,
( spl2_6
| spl2_10 ),
inference(avatar_split_clause,[],[f149,f142,f102]) ).
thf(f153,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ sK1 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ X1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f55,f40]) ).
thf(f157,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ X2 @ X1 ) )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f55,f28]) ).
thf(f158,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f55,f49]) ).
thf(f163,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ X2 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
= ( b @ X2 @ X1 ) )
| ( X0 = X1 )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f164,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) ),
inference(trivial_inequality_removal,[],[f158]) ).
thf(f166,definition,
( spl2_12
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f167,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ X1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f166]) ).
thf(f169,definition,
( spl2_13
<=> ! [X2: $i] :
( ( r @ sK1 @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f170,plain,
( ! [X2: $i] :
( ( r @ sK1 @ X2 )
!= $true )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f169]) ).
thf(f171,plain,
( spl2_12
| spl2_13 ),
inference(avatar_split_clause,[],[f153,f169,f166]) ).
thf(f182,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| spl2_1 ),
inference(constrained_superposition,[],[f76,f49]) ).
thf(f185,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f182]) ).
thf(f201,definition,
( spl2_15
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f202,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f201]) ).
thf(f206,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f55,f103]) ).
thf(f208,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f206]) ).
thf(f213,definition,
( spl2_16
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f214,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f213]) ).
thf(f216,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f142]) ).
thf(f223,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f214,f28]) ).
thf(f224,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f214,f51]) ).
thf(f226,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f227,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f223]) ).
thf(f234,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f227,f28]) ).
thf(f237,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f234]) ).
thf(f245,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f226,f49]) ).
thf(f247,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f245]) ).
thf(f310,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( X1 = X2 )
| ( ( b @ X1 @ X2 )
= $true )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f163,f28]) ).
thf(f311,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X1 ) ),
inference(constrained_superposition,[],[f163,f49]) ).
thf(f316,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ sK1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f311]) ).
thf(f318,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( b @ X1 @ X2 )
= $true )
| ( X0 = X2 )
| ( ( b @ X0 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f310]) ).
thf(f321,definition,
( spl2_18
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f322,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 ) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f321]) ).
thf(f323,plain,
( spl2_13
| spl2_18 ),
inference(avatar_split_clause,[],[f316,f321,f169]) ).
thf(f325,definition,
( spl2_19
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f326,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f325]) ).
thf(f342,definition,
( spl2_21
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f343,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_21 ),
inference(avatar_component_clause,[],[f342]) ).
thf(f454,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f64,f40]) ).
thf(f470,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X2 = X3 )
| ( ( b @ X2 @ X0 )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( X0 = X2 )
| ( X0 = X3 ) ),
inference(constrained_superposition,[],[f318,f28]) ).
thf(f475,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ X3 ) )
| ( ( b @ X2 @ X0 )
= $true )
| ( X0 = X1 )
| ( X2 = X3 )
| ( X0 = X3 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X2 )
| ( ( b @ X2 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[],[f470]) ).
thf(f489,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f29,f125]) ).
thf(f494,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X3 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f489]) ).
thf(f501,definition,
( spl2_23
<=> ! [X0: $i] :
( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f502,plain,
( ! [X0: $i] :
( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f501]) ).
thf(f504,definition,
( spl2_24
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f505,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f504]) ).
thf(f557,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f494,f63]) ).
thf(f559,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_16 ),
inference(constrained_superposition,[],[f494,f247]) ).
thf(f564,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_16 ),
inference(constrained_superposition,[],[f494,f237]) ).
thf(f572,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9 ),
inference(duplicate_literal_removal,[],[f557]) ).
thf(f573,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f572]) ).
thf(f575,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_9
| ~ spl2_16 ),
inference(duplicate_literal_removal,[],[f564]) ).
thf(f576,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f575]) ).
thf(f581,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_16 ),
inference(duplicate_literal_removal,[],[f559]) ).
thf(f582,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1
= ( sK0 @ X0 ) ) )
| ~ spl2_9
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f581]) ).
thf(f585,definition,
( spl2_26
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
thf(f586,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f585]) ).
thf(f588,definition,
( spl2_27
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f589,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f588]) ).
thf(f592,definition,
( spl2_28
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
thf(f593,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f592]) ).
thf(f597,definition,
( spl2_29
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
thf(f598,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f597]) ).
thf(f599,plain,
( spl2_29
| spl2_26
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f573,f124,f585,f597]) ).
thf(f601,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f576,f40]) ).
thf(f604,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_16 ),
inference(forward_subsumption_resolution,[],[f582,f40]) ).
thf(f607,plain,
( spl2_26
| spl2_27
| ~ spl2_9
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f601,f213,f124,f588,f585]) ).
thf(f616,plain,
( spl2_26
| spl2_28
| ~ spl2_9
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f604,f213,f124,f592,f585]) ).
thf(f617,plain,
( ( $true != $true )
| ~ spl2_6
| ~ spl2_13 ),
inference(constrained_superposition,[],[f170,f103]) ).
thf(f623,plain,
( $false
| ~ spl2_6
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f617]) ).
thf(f624,plain,
( ~ spl2_6
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f623]) ).
thf(f658,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f167,f51]) ).
thf(f664,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f658]) ).
thf(f898,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f664,f49]) ).
thf(f900,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f898]) ).
thf(f1403,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
= $true )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( b @ X2 @ X1 ) ) ),
inference(equality_factoring,[],[f475]) ).
thf(f1423,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( $true
= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ X0 )
= $true )
| ( X0 = X2 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(duplicate_literal_removal,[],[f1403]) ).
thf(f1424,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( X1 = X2 )
| ( ( b @ X2 @ X0 )
= $true )
| ( X0 = X2 ) ),
inference(trivial_inequality_removal,[],[f1423]) ).
thf(f1431,definition,
( spl2_34
<=> ! [X3: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X3 )
= $true )
| ( ( sK0 @ sK1 )
= X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
thf(f1432,plain,
( ! [X3: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X3 )
= $true )
| ( ( sK0 @ sK1 )
= X3 ) )
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f1431]) ).
thf(f1645,definition,
( spl2_38
<=> ! [X2: $i] :
( ( ( b @ sK1 @ X2 )
= $true )
| ( sK1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).
thf(f1646,plain,
( ! [X2: $i] :
( ( ( b @ sK1 @ X2 )
= $true )
| ( sK1 = X2 ) )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f1645]) ).
thf(f1656,definition,
( spl2_41
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
thf(f1657,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f1656]) ).
thf(f2006,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f30,f454]) ).
thf(f2009,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f2006]) ).
thf(f2019,definition,
( spl2_51
<=> ! [X2: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).
thf(f2020,plain,
( ! [X2: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ~ spl2_51 ),
inference(avatar_component_clause,[],[f2019]) ).
thf(f2022,definition,
( spl2_52
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_52])],[avatar_definition]) ).
thf(f2023,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_52 ),
inference(avatar_component_clause,[],[f2022]) ).
thf(f2024,plain,
( spl2_51
| spl2_52 ),
inference(avatar_split_clause,[],[f2009,f2022,f2019]) ).
thf(f2026,definition,
( spl2_53
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_53])],[avatar_definition]) ).
thf(f2027,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_53 ),
inference(avatar_component_clause,[],[f2026]) ).
thf(f2029,definition,
( spl2_54
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
thf(f2030,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f2029]) ).
thf(f2044,definition,
( spl2_58
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).
thf(f2045,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_58 ),
inference(avatar_component_clause,[],[f2044]) ).
thf(f2048,definition,
( spl2_59
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f2049,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f2048]) ).
thf(f2051,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f2020,f454]) ).
thf(f2052,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f2020,f49]) ).
thf(f2056,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f2052]) ).
thf(f2058,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f2051]) ).
thf(f2059,plain,
( spl2_59
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f2056,f2019,f2048]) ).
thf(f2060,plain,
( spl2_54
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f2058,f2019,f2029]) ).
thf(f2071,definition,
( spl2_60
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).
thf(f2072,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_60 ),
inference(avatar_component_clause,[],[f2071]) ).
thf(f2078,definition,
( spl2_62
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_62])],[avatar_definition]) ).
thf(f2079,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_62 ),
inference(avatar_component_clause,[],[f2078]) ).
thf(f2082,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_3
| ~ spl2_60 ),
inference(constrained_superposition,[],[f83,f2072]) ).
thf(f2085,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_6
| ~ spl2_60 ),
inference(constrained_superposition,[],[f208,f2072]) ).
thf(f2093,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f2082]) ).
thf(f2097,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_6
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f2085]) ).
thf(f2103,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f2093,f103]) ).
thf(f2105,definition,
( spl2_64
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_64])],[avatar_definition]) ).
thf(f2106,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_64 ),
inference(avatar_component_clause,[],[f2105]) ).
thf(f2107,plain,
( spl2_51
| spl2_64
| spl2_62
| ~ spl2_6
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f2097,f2071,f102,f2078,f2105,f2019]) ).
thf(f2185,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| spl2_53 ),
inference(constrained_superposition,[],[f2027,f49]) ).
thf(f2188,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_53 ),
inference(trivial_inequality_removal,[],[f2185]) ).
thf(f2201,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_60 ),
inference(constrained_superposition,[],[f29,f2103]) ).
thf(f2204,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f2201]) ).
thf(f2264,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_52 ),
inference(constrained_superposition,[],[f2023,f454]) ).
thf(f2268,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_52 ),
inference(duplicate_literal_removal,[],[f2264]) ).
thf(f2269,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f2268]) ).
thf(f2271,definition,
( spl2_65
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).
thf(f2272,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_65 ),
inference(avatar_component_clause,[],[f2271]) ).
thf(f2275,definition,
( spl2_66
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_66])],[avatar_definition]) ).
thf(f2276,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_66 ),
inference(avatar_component_clause,[],[f2275]) ).
thf(f2277,plain,
( spl2_54
| ~ spl2_66
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f2269,f2022,f2275,f2029]) ).
thf(f2333,definition,
( spl2_67
<=> ! [X3: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X3 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).
thf(f2334,plain,
( ! [X3: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X3 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X3 ) )
| ~ spl2_67 ),
inference(avatar_component_clause,[],[f2333]) ).
thf(f2382,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_60
| ~ spl2_64 ),
inference(constrained_superposition,[],[f2204,f2106]) ).
thf(f2384,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_60 ),
inference(constrained_superposition,[],[f2204,f63]) ).
thf(f2423,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_60 ),
inference(duplicate_literal_removal,[],[f2384]) ).
thf(f2424,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f2423]) ).
thf(f2428,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_60
| ~ spl2_64 ),
inference(duplicate_literal_removal,[],[f2382]) ).
thf(f2429,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_60
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f2428]) ).
thf(f2433,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_3
| ~ spl2_6
| spl2_58
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f2424,f2045]) ).
thf(f2438,plain,
( spl2_26
| ~ spl2_3
| ~ spl2_6
| ~ spl2_60
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f2429,f2105,f2071,f102,f82,f585]) ).
thf(f2445,plain,
( spl2_26
| ~ spl2_3
| ~ spl2_6
| spl2_58
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f2433,f2071,f2044,f102,f82,f585]) ).
thf(f2671,definition,
( spl2_71
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_71])],[avatar_definition]) ).
thf(f2672,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_71 ),
inference(avatar_component_clause,[],[f2671]) ).
thf(f2923,definition,
( spl2_72
<=> ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_72])],[avatar_definition]) ).
thf(f2924,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_72 ),
inference(avatar_component_clause,[],[f2923]) ).
thf(f2929,definition,
( spl2_74
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).
thf(f2930,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f2929]) ).
thf(f2934,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_62 ),
inference(avatar_component_clause,[],[f2078]) ).
thf(f2953,definition,
( spl2_75
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).
thf(f2954,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_75 ),
inference(avatar_component_clause,[],[f2953]) ).
thf(f2956,definition,
( spl2_76
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_76])],[avatar_definition]) ).
thf(f2957,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f2956]) ).
thf(f2962,definition,
( spl2_77
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_77])],[avatar_definition]) ).
thf(f2963,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_77 ),
inference(avatar_component_clause,[],[f2962]) ).
thf(f2965,definition,
( spl2_78
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).
thf(f2966,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_78 ),
inference(avatar_component_clause,[],[f2965]) ).
thf(f2969,definition,
( spl2_79
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).
thf(f2970,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_79 ),
inference(avatar_component_clause,[],[f2969]) ).
thf(f2972,definition,
( spl2_80
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_80])],[avatar_definition]) ).
thf(f2973,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_80 ),
inference(avatar_component_clause,[],[f2972]) ).
thf(f2976,definition,
( spl2_81
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).
thf(f2977,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_81 ),
inference(avatar_component_clause,[],[f2976]) ).
thf(f2980,definition,
( spl2_82
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).
thf(f2981,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_82 ),
inference(avatar_component_clause,[],[f2980]) ).
thf(f3082,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f121]) ).
thf(f3084,definition,
( spl2_83
<=> ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_83])],[avatar_definition]) ).
thf(f3085,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_83 ),
inference(avatar_component_clause,[],[f3084]) ).
thf(f3095,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f342]) ).
thf(f3098,definition,
( spl2_85
<=> ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).
thf(f3099,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f3098]) ).
thf(f3117,definition,
( spl2_88
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).
thf(f3118,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_88 ),
inference(avatar_component_clause,[],[f3117]) ).
thf(f3169,definition,
( spl2_100
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_100])],[avatar_definition]) ).
thf(f3170,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_100 ),
inference(avatar_component_clause,[],[f3169]) ).
thf(f3172,definition,
( spl2_101
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_101])],[avatar_definition]) ).
thf(f3173,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_101 ),
inference(avatar_component_clause,[],[f3172]) ).
thf(f3184,definition,
( spl2_104
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).
thf(f3185,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_104 ),
inference(avatar_component_clause,[],[f3184]) ).
thf(f3187,definition,
( spl2_105
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).
thf(f3188,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_105 ),
inference(avatar_component_clause,[],[f3187]) ).
thf(f3226,plain,
( spl2_59
| spl2_53 ),
inference(avatar_split_clause,[],[f2188,f2026,f2048]) ).
thf(f3227,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_12
| spl2_62 ),
inference(extensionality_resolution,[],[f900,f2934]) ).
thf(f3228,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_12
| spl2_62 ),
inference(extensionality_resolution,[],[f900,f2934]) ).
thf(f3242,definition,
( spl2_114
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_114])],[avatar_definition]) ).
thf(f3243,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_114 ),
inference(avatar_component_clause,[],[f3242]) ).
thf(f3245,definition,
( spl2_115
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_115])],[avatar_definition]) ).
thf(f3246,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_115 ),
inference(avatar_component_clause,[],[f3245]) ).
thf(f3247,plain,
( spl2_114
| spl2_115
| spl2_59
| ~ spl2_12
| spl2_62 ),
inference(avatar_split_clause,[],[f3227,f2078,f166,f2048,f3245,f3242]) ).
thf(f3249,plain,
( spl2_81
| spl2_88
| spl2_80
| ~ spl2_12
| spl2_62 ),
inference(avatar_split_clause,[],[f3228,f2078,f166,f2972,f3117,f2976]) ).
thf(f3254,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f86,f62]) ).
thf(f3255,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f86,f49]) ).
thf(f3257,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f86,f28]) ).
thf(f3258,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f3255]) ).
thf(f3259,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f3257]) ).
thf(f3261,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f3254]) ).
thf(f3262,plain,
( spl2_34
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f3259,f85,f1431]) ).
thf(f3263,plain,
( spl2_9
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f3261,f85,f124]) ).
thf(f3266,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_83 ),
inference(constrained_superposition,[],[f3085,f63]) ).
thf(f3286,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_83 ),
inference(trivial_inequality_removal,[],[f3266]) ).
thf(f3299,plain,
( spl2_29
| ~ spl2_83 ),
inference(avatar_split_clause,[],[f3286,f3084,f597]) ).
thf(f3327,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_26 ),
inference(constrained_superposition,[],[f586,f3095]) ).
thf(f3328,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_41 ),
inference(constrained_superposition,[],[f1657,f3095]) ).
thf(f3330,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f61,f3095]) ).
thf(f3333,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_41 ),
inference(duplicate_literal_removal,[],[f3328]) ).
thf(f3334,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f3333]) ).
thf(f3335,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_26 ),
inference(duplicate_literal_removal,[],[f3327]) ).
thf(f3336,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f3335]) ).
thf(f3340,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f3330]) ).
thf(f3341,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_1
| ~ spl2_21
| ~ spl2_41 ),
inference(forward_subsumption_resolution,[],[f3334,f185]) ).
thf(f3342,plain,
( spl2_83
| ~ spl2_21
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f3336,f585,f342,f3084]) ).
thf(f3424,plain,
( ( $true != $true )
| ~ spl2_21
| ~ spl2_83 ),
inference(constrained_superposition,[],[f3085,f3095]) ).
thf(f3440,plain,
( $false
| ~ spl2_21
| ~ spl2_83 ),
inference(trivial_inequality_removal,[],[f3424]) ).
thf(f3441,plain,
( ~ spl2_21
| ~ spl2_83 ),
inference(avatar_contradiction_clause,[],[f3440]) ).
thf(f3462,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_58 ),
inference(avatar_component_clause,[],[f2044]) ).
thf(f3464,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f61,f593]) ).
thf(f3466,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_28 ),
inference(duplicate_literal_removal,[],[f3464]) ).
thf(f3467,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f3466]) ).
thf(f3469,plain,
( spl2_23
| spl2_5
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f3467,f592,f99,f501]) ).
thf(f3511,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f30,f598]) ).
thf(f3514,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f3511]) ).
thf(f3553,definition,
( spl2_118
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f3554,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f3553]) ).
thf(f3562,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_1
| ~ spl2_21
| ~ spl2_41 ),
inference(constrained_superposition,[],[f3341,f3095]) ).
thf(f3573,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_1
| ~ spl2_21
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f3562]) ).
thf(f3581,plain,
( $false
| spl2_1
| ~ spl2_21
| ~ spl2_41 ),
inference(forward_subsumption_resolution,[],[f3573,f185]) ).
thf(f3582,plain,
( spl2_1
| ~ spl2_21
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f3581]) ).
thf(f3588,definition,
( spl2_119
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_119])],[avatar_definition]) ).
thf(f3589,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_119 ),
inference(avatar_component_clause,[],[f3588]) ).
thf(f3591,definition,
( spl2_120
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).
thf(f3592,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_120 ),
inference(avatar_component_clause,[],[f3591]) ).
thf(f3599,plain,
( $false
| ~ spl2_4
| spl2_120 ),
inference(forward_subsumption_resolution,[],[f3592,f3258]) ).
thf(f3600,plain,
( ~ spl2_4
| spl2_120 ),
inference(avatar_contradiction_clause,[],[f3599]) ).
thf(f3693,definition,
( spl2_121
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f3694,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ~ spl2_121 ),
inference(avatar_component_clause,[],[f3693]) ).
thf(f3696,definition,
( spl2_122
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
thf(f3697,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f3696]) ).
thf(f3703,definition,
( spl2_124
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).
thf(f3704,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ~ spl2_124 ),
inference(avatar_component_clause,[],[f3703]) ).
thf(f3761,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f3514,f598]) ).
thf(f3767,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f3761]) ).
thf(f3773,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f3767,f454]) ).
thf(f3774,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_23
| ~ spl2_29 ),
inference(constrained_superposition,[],[f3767,f502]) ).
thf(f3775,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f3773]) ).
thf(f3779,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_23
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f3774]) ).
thf(f3780,plain,
( $false
| ~ spl2_6
| ~ spl2_23
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f3779,f103]) ).
thf(f3781,plain,
( ~ spl2_6
| ~ spl2_23
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f3780]) ).
thf(f3784,definition,
( spl2_125
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_125])],[avatar_definition]) ).
thf(f3785,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_125 ),
inference(avatar_component_clause,[],[f3784]) ).
thf(f3794,definition,
( spl2_128
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).
thf(f3795,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_128 ),
inference(avatar_component_clause,[],[f3794]) ).
thf(f3805,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_29
| ~ spl2_60 ),
inference(constrained_superposition,[],[f3767,f2072]) ).
thf(f3821,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_29
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f3805]) ).
thf(f3824,plain,
( $false
| ~ spl2_6
| ~ spl2_29
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f3821,f103]) ).
thf(f3825,plain,
( ~ spl2_6
| ~ spl2_29
| ~ spl2_60 ),
inference(avatar_contradiction_clause,[],[f3824]) ).
thf(f3826,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f3775,f598]) ).
thf(f3827,plain,
( spl2_54
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f3826,f597,f2029]) ).
thf(f3848,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_28 ),
inference(constrained_superposition,[],[f100,f593]) ).
thf(f3853,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f3848]) ).
thf(f3865,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_28
| ~ spl2_78 ),
inference(constrained_superposition,[],[f3853,f2966]) ).
thf(f3867,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_28
| ~ spl2_80 ),
inference(constrained_superposition,[],[f3853,f2973]) ).
thf(f3878,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_28
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f3865]) ).
thf(f3883,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_28
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f3867]) ).
thf(f3888,plain,
( $false
| ~ spl2_5
| ~ spl2_28
| ~ spl2_78 ),
inference(forward_subsumption_resolution,[],[f3878,f593]) ).
thf(f3889,plain,
( ~ spl2_5
| ~ spl2_28
| ~ spl2_78 ),
inference(avatar_contradiction_clause,[],[f3888]) ).
thf(f3894,plain,
( $false
| ~ spl2_5
| ~ spl2_28
| ~ spl2_80 ),
inference(forward_subsumption_resolution,[],[f3883,f593]) ).
thf(f3895,plain,
( ~ spl2_5
| ~ spl2_28
| ~ spl2_80 ),
inference(avatar_contradiction_clause,[],[f3894]) ).
thf(f3903,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_16
| ~ spl2_58 ),
inference(constrained_superposition,[],[f214,f3462]) ).
thf(f3904,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_12
| ~ spl2_58 ),
inference(constrained_superposition,[],[f167,f3462]) ).
thf(f3918,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_12
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f3904]) ).
thf(f3919,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f3903]) ).
thf(f3923,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_10
| ~ spl2_12
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f3918,f143]) ).
thf(f3924,plain,
( ~ spl2_53
| ~ spl2_16
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f3919,f2044,f213,f2026]) ).
thf(f3926,plain,
( ~ spl2_53
| spl2_10
| ~ spl2_12
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f3923,f2044,f166,f142,f2026]) ).
thf(f3943,plain,
( $false
| ~ spl2_79
| ~ spl2_124 ),
inference(forward_subsumption_resolution,[],[f2970,f3704]) ).
thf(f3944,plain,
( ~ spl2_79
| ~ spl2_124 ),
inference(avatar_contradiction_clause,[],[f3943]) ).
thf(f3966,definition,
( spl2_132
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).
thf(f3967,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_132 ),
inference(avatar_component_clause,[],[f3966]) ).
thf(f3970,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_115 ),
inference(constrained_superposition,[],[f146,f3246]) ).
thf(f3978,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f3970]) ).
thf(f3981,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_64
| ~ spl2_115 ),
inference(forward_subsumption_resolution,[],[f3978,f2106]) ).
thf(f3983,definition,
( spl2_133
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_133])],[avatar_definition]) ).
thf(f3984,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_133 ),
inference(avatar_component_clause,[],[f3983]) ).
thf(f3986,definition,
( spl2_134
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_134])],[avatar_definition]) ).
thf(f3987,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_134 ),
inference(avatar_component_clause,[],[f3986]) ).
thf(f3991,plain,
( spl2_133
| ~ spl2_11
| ~ spl2_64
| ~ spl2_115 ),
inference(avatar_split_clause,[],[f3981,f3245,f2105,f145,f3983]) ).
thf(f4008,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_79
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3170,f2970]) ).
thf(f4012,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_79
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f4008]) ).
thf(f4013,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_79
| ~ spl2_100 ),
inference(constrained_superposition,[],[f4012,f51]) ).
thf(f4015,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_79
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f4013]) ).
thf(f4017,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_79
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f4015,f40]) ).
thf(f4019,definition,
( spl2_135
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_135])],[avatar_definition]) ).
thf(f4020,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_135 ),
inference(avatar_component_clause,[],[f4019]) ).
thf(f4022,plain,
( spl2_135
| ~ spl2_79
| ~ spl2_100 ),
inference(avatar_split_clause,[],[f4017,f3169,f2969,f4019]) ).
thf(f4027,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_52
| ~ spl2_76 ),
inference(constrained_superposition,[],[f2023,f2957]) ).
thf(f4028,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_12
| ~ spl2_76 ),
inference(constrained_superposition,[],[f167,f2957]) ).
thf(f4036,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_52
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f4027]) ).
thf(f4040,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_12
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f4028]) ).
thf(f4047,definition,
( spl2_136
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_136])],[avatar_definition]) ).
thf(f4048,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_136 ),
inference(avatar_component_clause,[],[f4047]) ).
thf(f4049,plain,
( ~ spl2_82
| spl2_136
| ~ spl2_12
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f4040,f2956,f166,f4047,f2980]) ).
thf(f4051,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_82 ),
inference(constrained_superposition,[],[f2981,f49]) ).
thf(f4053,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_82 ),
inference(trivial_inequality_removal,[],[f4051]) ).
thf(f4073,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_79 ),
inference(avatar_component_clause,[],[f2969]) ).
thf(f4075,definition,
( spl2_137
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_137])],[avatar_definition]) ).
thf(f4076,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_137 ),
inference(avatar_component_clause,[],[f4075]) ).
thf(f4077,plain,
( ~ spl2_79
| spl2_137
| ~ spl2_52
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f4036,f2956,f2022,f4075,f2969]) ).
thf(f4107,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_62 ),
inference(constrained_superposition,[],[f48,f2079]) ).
thf(f4160,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_120 ),
inference(avatar_component_clause,[],[f3591]) ).
thf(f4203,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_5
| ~ spl2_120 ),
inference(constrained_superposition,[],[f100,f4160]) ).
thf(f4204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_120 ),
inference(constrained_superposition,[],[f61,f4160]) ).
thf(f4206,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f4203]) ).
thf(f4207,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_120 ),
inference(duplicate_literal_removal,[],[f4204]) ).
thf(f4208,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f4207]) ).
thf(f4210,plain,
( spl2_119
| ~ spl2_5
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f4206,f3591,f99,f3588]) ).
thf(f4223,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_62 ),
inference(equality_resolution,[],[f4107]) ).
thf(f4233,plain,
( $false
| ~ spl2_62 ),
inference(forward_subsumption_resolution,[],[f4223,f40]) ).
thf(f4234,plain,
~ spl2_62,
inference(avatar_contradiction_clause,[],[f4233]) ).
thf(f4236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_85
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f4208,f3099]) ).
thf(f4238,plain,
( spl2_5
| ~ spl2_85
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f4236,f3591,f3098,f99]) ).
thf(f4239,plain,
( spl2_6
| spl2_41
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f3340,f342,f1656,f102]) ).
thf(f4245,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_62 ),
inference(extensionality_resolution,[],[f64,f2934]) ).
thf(f4246,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_62 ),
inference(extensionality_resolution,[],[f64,f2934]) ).
thf(f4247,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_62 ),
inference(extensionality_resolution,[],[f55,f2934]) ).
thf(f4248,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_62 ),
inference(extensionality_resolution,[],[f55,f2934]) ).
thf(f4250,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_62 ),
inference(extensionality_resolution,[],[f51,f2934]) ).
thf(f4253,plain,
( spl2_80
| spl2_79
| spl2_62 ),
inference(avatar_split_clause,[],[f4250,f2078,f2969,f2972]) ).
thf(f4254,plain,
( spl2_78
| spl2_77
| spl2_62 ),
inference(avatar_split_clause,[],[f4246,f2078,f2962,f2965]) ).
thf(f4276,definition,
( spl2_145
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_145])],[avatar_definition]) ).
thf(f4277,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_145 ),
inference(avatar_component_clause,[],[f4276]) ).
thf(f4343,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_54 ),
inference(constrained_superposition,[],[f29,f2030]) ).
thf(f4345,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X3 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X3 @ X2 )
!= $true ) )
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f4343]) ).
thf(f4369,definition,
( spl2_146
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_146])],[avatar_definition]) ).
thf(f4370,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_146 ),
inference(avatar_component_clause,[],[f4369]) ).
thf(f4384,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_58 ),
inference(constrained_superposition,[],[f2045,f28]) ).
thf(f4385,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_58 ),
inference(trivial_inequality_removal,[],[f4384]) ).
thf(f4387,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_58
| spl2_62 ),
inference(forward_subsumption_resolution,[],[f4385,f2934]) ).
thf(f4389,plain,
( spl2_64
| spl2_58
| spl2_62 ),
inference(avatar_split_clause,[],[f4387,f2078,f2044,f2105]) ).
thf(f4402,definition,
( spl2_147
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_147])],[avatar_definition]) ).
thf(f4403,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_147 ),
inference(avatar_component_clause,[],[f4402]) ).
thf(f4419,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f61,f125]) ).
thf(f4423,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f4419]) ).
thf(f4434,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f30,f2963]) ).
thf(f4435,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f4434]) ).
thf(f4444,plain,
( spl2_122
| spl2_121
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f4435,f2962,f3693,f3696]) ).
thf(f4454,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_105 ),
inference(constrained_superposition,[],[f3188,f2963]) ).
thf(f4459,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_77
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f4454]) ).
thf(f4462,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_77
| ~ spl2_105 ),
inference(constrained_superposition,[],[f4459,f51]) ).
thf(f4464,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_77
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f4462]) ).
thf(f4466,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_77
| ~ spl2_105 ),
inference(forward_subsumption_resolution,[],[f4464,f40]) ).
thf(f4468,definition,
( spl2_148
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_148])],[avatar_definition]) ).
thf(f4469,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_148 ),
inference(avatar_component_clause,[],[f4468]) ).
thf(f4471,definition,
( spl2_149
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_149])],[avatar_definition]) ).
thf(f4472,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_149 ),
inference(avatar_component_clause,[],[f4471]) ).
thf(f4474,plain,
( spl2_149
| ~ spl2_77
| ~ spl2_105 ),
inference(avatar_split_clause,[],[f4466,f3187,f2962,f4471]) ).
thf(f4493,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_10
| ~ spl2_26 ),
inference(constrained_superposition,[],[f586,f216]) ).
thf(f4495,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_26 ),
inference(constrained_superposition,[],[f586,f63]) ).
thf(f4496,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_26
| ~ spl2_64 ),
inference(constrained_superposition,[],[f586,f2106]) ).
thf(f4508,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_26
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f4496]) ).
thf(f4510,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f4495]) ).
thf(f4518,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f4493]) ).
thf(f4519,plain,
( spl2_11
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f4510,f585,f145]) ).
thf(f4521,plain,
( spl2_119
| ~ spl2_10
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f4518,f585,f142,f3588]) ).
thf(f4525,definition,
( spl2_150
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_150])],[avatar_definition]) ).
thf(f4526,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_150 ),
inference(avatar_component_clause,[],[f4525]) ).
thf(f4527,plain,
( spl2_150
| spl2_6
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f4423,f124,f102,f4525]) ).
thf(f4567,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_80 ),
inference(constrained_superposition,[],[f4508,f2973]) ).
thf(f4582,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f4567]) ).
thf(f4587,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_80 ),
inference(constrained_superposition,[],[f4582,f63]) ).
thf(f4598,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f4587]) ).
thf(f4609,plain,
( spl2_133
| ~ spl2_26
| ~ spl2_64
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f4598,f2972,f2105,f585,f3983]) ).
thf(f4611,definition,
( spl2_155
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_155])],[avatar_definition]) ).
thf(f4612,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_155 ),
inference(avatar_component_clause,[],[f4611]) ).
thf(f4632,plain,
( ( $true != $true )
| ~ spl2_124
| ~ spl2_133 ),
inference(constrained_superposition,[],[f3704,f3984]) ).
thf(f4635,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_124 ),
inference(constrained_superposition,[],[f3704,f28]) ).
thf(f4636,plain,
( $false
| ~ spl2_124
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f4632]) ).
thf(f4637,plain,
( ~ spl2_124
| ~ spl2_133 ),
inference(avatar_contradiction_clause,[],[f4636]) ).
thf(f4641,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f4635]) ).
thf(f4643,plain,
( spl2_155
| ~ spl2_124 ),
inference(avatar_split_clause,[],[f4641,f3703,f4611]) ).
thf(f4644,plain,
( spl2_64
| spl2_51
| spl2_100
| spl2_62 ),
inference(avatar_split_clause,[],[f4248,f2078,f3169,f2019,f2105]) ).
thf(f4654,plain,
( $false
| ~ spl2_51
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f3462,f2020]) ).
thf(f4655,plain,
( ~ spl2_51
| ~ spl2_58 ),
inference(avatar_contradiction_clause,[],[f4654]) ).
thf(f4656,plain,
( spl2_76
| spl2_75
| spl2_62 ),
inference(avatar_split_clause,[],[f4245,f2078,f2953,f2956]) ).
thf(f4663,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f164,f598]) ).
thf(f4667,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f30,f598]) ).
thf(f4668,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f4667]) ).
thf(f4677,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f4663]) ).
thf(f4683,plain,
( $false
| ~ spl2_29
| spl2_58 ),
inference(forward_subsumption_resolution,[],[f2045,f598]) ).
thf(f4684,plain,
( ~ spl2_29
| spl2_58 ),
inference(avatar_contradiction_clause,[],[f4683]) ).
thf(f4691,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_64 ),
inference(constrained_superposition,[],[f29,f2106]) ).
thf(f4692,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f4691]) ).
thf(f4770,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f4668,f598]) ).
thf(f4774,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f4770]) ).
thf(f4896,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_34
| spl2_120 ),
inference(constrained_superposition,[],[f3592,f1432]) ).
thf(f4902,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_34
| spl2_120 ),
inference(trivial_inequality_removal,[],[f4896]) ).
thf(f4904,plain,
( $false
| ~ spl2_34
| spl2_120 ),
inference(forward_subsumption_resolution,[],[f4902,f40]) ).
thf(f4905,plain,
( ~ spl2_34
| spl2_120 ),
inference(avatar_contradiction_clause,[],[f4904]) ).
thf(f4910,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_54
| ~ spl2_150 ),
inference(constrained_superposition,[],[f4526,f2030]) ).
thf(f4924,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_54
| ~ spl2_150 ),
inference(trivial_inequality_removal,[],[f4910]) ).
thf(f4970,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_59 ),
inference(avatar_component_clause,[],[f2048]) ).
thf(f4972,definition,
( spl2_158
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_158])],[avatar_definition]) ).
thf(f4973,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_158 ),
inference(avatar_component_clause,[],[f4972]) ).
thf(f4974,plain,
( ~ spl2_59
| spl2_158
| ~ spl2_54
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f4924,f4525,f2029,f4972,f2048]) ).
thf(f4981,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_81 ),
inference(avatar_component_clause,[],[f2976]) ).
thf(f4989,plain,
( spl2_81
| spl2_82 ),
inference(avatar_split_clause,[],[f4053,f2980,f2976]) ).
thf(f4990,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_135 ),
inference(avatar_component_clause,[],[f4019]) ).
thf(f4993,definition,
( spl2_161
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_161])],[avatar_definition]) ).
thf(f4994,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_161 ),
inference(avatar_component_clause,[],[f4993]) ).
thf(f4997,definition,
( spl2_162
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
thf(f4998,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_162 ),
inference(avatar_component_clause,[],[f4997]) ).
thf(f5003,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f4677,f40]) ).
thf(f5008,plain,
( spl2_28
| spl2_4
| spl2_120
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f5003,f597,f3591,f85,f592]) ).
thf(f5010,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_120 ),
inference(constrained_superposition,[],[f29,f4160]) ).
thf(f5011,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5010]) ).
thf(f5046,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_119 ),
inference(constrained_superposition,[],[f3589,f63]) ).
thf(f5047,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_119
| ~ spl2_149 ),
inference(constrained_superposition,[],[f3589,f4472]) ).
thf(f5048,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_64
| ~ spl2_119 ),
inference(constrained_superposition,[],[f3589,f2106]) ).
thf(f5057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_119 ),
inference(trivial_inequality_removal,[],[f5046]) ).
thf(f5058,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_64
| ~ spl2_119 ),
inference(trivial_inequality_removal,[],[f5048]) ).
thf(f5059,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_119
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f5047]) ).
thf(f5063,plain,
( ~ spl2_161
| ~ spl2_119
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f5059,f4471,f3588,f4993]) ).
thf(f5064,plain,
( ~ spl2_59
| ~ spl2_64
| ~ spl2_119 ),
inference(avatar_split_clause,[],[f5058,f3588,f2105,f2048]) ).
thf(f5066,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| spl2_59 ),
inference(constrained_superposition,[],[f4970,f1424]) ).
thf(f5069,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( sK1 = X0 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_59 ),
inference(trivial_inequality_removal,[],[f5066]) ).
thf(f5071,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f5069,f40]) ).
thf(f5074,definition,
( spl2_164
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_164])],[avatar_definition]) ).
thf(f5075,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_164 ),
inference(avatar_component_clause,[],[f5074]) ).
thf(f5086,definition,
( spl2_165
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_165])],[avatar_definition]) ).
thf(f5087,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| ~ spl2_165 ),
inference(avatar_component_clause,[],[f5086]) ).
thf(f5093,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_81 ),
inference(constrained_superposition,[],[f100,f2977]) ).
thf(f5097,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f5093]) ).
thf(f5107,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_9
| ~ spl2_81 ),
inference(constrained_superposition,[],[f5097,f125]) ).
thf(f5117,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_9
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f5107]) ).
thf(f5123,plain,
( $false
| ~ spl2_5
| ~ spl2_9
| ~ spl2_81
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f5117,f4160]) ).
thf(f5124,plain,
( ~ spl2_5
| ~ spl2_9
| ~ spl2_81
| ~ spl2_120 ),
inference(avatar_contradiction_clause,[],[f5123]) ).
thf(f5148,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_158 ),
inference(constrained_superposition,[],[f4973,f125]) ).
thf(f5164,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_158 ),
inference(trivial_inequality_removal,[],[f5148]) ).
thf(f5165,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_158 ),
inference(forward_subsumption_resolution,[],[f5164,f125]) ).
thf(f5166,plain,
( $false
| ~ spl2_9
| ~ spl2_120
| ~ spl2_158 ),
inference(forward_subsumption_resolution,[],[f5165,f4160]) ).
thf(f5167,plain,
( ~ spl2_9
| ~ spl2_120
| ~ spl2_158 ),
inference(avatar_contradiction_clause,[],[f5166]) ).
thf(f5241,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_9
| ~ spl2_24 ),
inference(constrained_superposition,[],[f505,f125]) ).
thf(f5249,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_9
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f5241]) ).
thf(f5251,plain,
( ( $true != $true )
| ~ spl2_9
| ~ spl2_24
| ~ spl2_88 ),
inference(constrained_superposition,[],[f5249,f3118]) ).
thf(f5259,plain,
( $false
| ~ spl2_9
| ~ spl2_24
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f5251]) ).
thf(f5260,plain,
( ~ spl2_9
| ~ spl2_24
| ~ spl2_88 ),
inference(avatar_contradiction_clause,[],[f5259]) ).
thf(f5273,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_64
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5011,f2106]) ).
thf(f5281,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_64
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5273]) ).
thf(f5293,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_64
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5281,f2106]) ).
thf(f5307,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_64
| ~ spl2_120 ),
inference(duplicate_literal_removal,[],[f5293]) ).
thf(f5308,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_64
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5307]) ).
thf(f5311,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10
| ~ spl2_64
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f5308,f216]) ).
thf(f5312,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_64
| ~ spl2_88
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5311,f3118]) ).
thf(f5313,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_64
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5311,f50]) ).
thf(f5317,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_64
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5311,f900]) ).
thf(f5323,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_64
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5317]) ).
thf(f5328,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_64
| ~ spl2_88
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5312]) ).
thf(f5330,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_64
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f5313]) ).
thf(f5334,plain,
( $false
| ~ spl2_10
| ~ spl2_64
| ~ spl2_88
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f5328,f216]) ).
thf(f5335,plain,
( ~ spl2_10
| ~ spl2_64
| ~ spl2_88
| ~ spl2_120 ),
inference(avatar_contradiction_clause,[],[f5334]) ).
thf(f5338,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_64
| ~ spl2_119
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f5323,f3589]) ).
thf(f5345,definition,
( spl2_170
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_170])],[avatar_definition]) ).
thf(f5346,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_170 ),
inference(avatar_component_clause,[],[f5345]) ).
thf(f5347,plain,
( spl2_170
| spl2_88
| ~ spl2_10
| ~ spl2_12
| ~ spl2_64
| ~ spl2_119
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f5338,f3591,f3588,f2105,f166,f142,f3117,f5345]) ).
thf(f5353,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_149
| ~ spl2_170 ),
inference(constrained_superposition,[],[f5346,f4472]) ).
thf(f5365,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_149
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f5353]) ).
thf(f5366,plain,
( spl2_118
| ~ spl2_149
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f5365,f5345,f4471,f3553]) ).
thf(f5412,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_1 ),
inference(constrained_superposition,[],[f76,f49]) ).
thf(f5414,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_1 ),
inference(trivial_inequality_removal,[],[f5412]) ).
thf(f5421,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_101 ),
inference(constrained_superposition,[],[f29,f3173]) ).
thf(f5424,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_101 ),
inference(trivial_inequality_removal,[],[f5421]) ).
thf(f5466,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_64
| ~ spl2_101 ),
inference(constrained_superposition,[],[f5424,f2106]) ).
thf(f5477,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_64
| ~ spl2_101 ),
inference(duplicate_literal_removal,[],[f5466]) ).
thf(f5478,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_64
| ~ spl2_101 ),
inference(trivial_inequality_removal,[],[f5477]) ).
thf(f5488,plain,
( spl2_26
| ~ spl2_64
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f5478,f3172,f2105,f585]) ).
thf(f5507,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_78
| ~ spl2_134 ),
inference(constrained_superposition,[],[f3987,f2966]) ).
thf(f5524,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_78
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f5507]) ).
thf(f5532,definition,
( spl2_174
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_174])],[avatar_definition]) ).
thf(f5533,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_174 ),
inference(avatar_component_clause,[],[f5532]) ).
thf(f5534,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_88 ),
inference(avatar_component_clause,[],[f3117]) ).
thf(f5536,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_74 ),
inference(avatar_component_clause,[],[f2929]) ).
thf(f5538,definition,
( spl2_175
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f5539,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f5538]) ).
thf(f5542,definition,
( spl2_176
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f5543,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_176 ),
inference(avatar_component_clause,[],[f5542]) ).
thf(f5545,definition,
( spl2_177
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).
thf(f5546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_177 ),
inference(avatar_component_clause,[],[f5545]) ).
thf(f5547,plain,
( ~ spl2_176
| spl2_177
| ~ spl2_78
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f5524,f3986,f2965,f5545,f5542]) ).
thf(f5548,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_88 ),
inference(constrained_superposition,[],[f5534,f50]) ).
thf(f5553,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_88 ),
inference(trivial_inequality_removal,[],[f5548]) ).
thf(f5577,definition,
( spl2_179
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).
thf(f5578,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_179 ),
inference(avatar_component_clause,[],[f5577]) ).
thf(f5631,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_80
| ~ spl2_146 ),
inference(constrained_superposition,[],[f4370,f2973]) ).
thf(f5638,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_80
| ~ spl2_146 ),
inference(duplicate_literal_removal,[],[f5631]) ).
thf(f5639,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_80
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f5638]) ).
thf(f5651,definition,
( spl2_183
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f5652,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_183 ),
inference(avatar_component_clause,[],[f5651]) ).
thf(f5654,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_101 ),
inference(avatar_component_clause,[],[f3172]) ).
thf(f5656,definition,
( spl2_184
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f5657,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f5656]) ).
thf(f5658,plain,
( ~ spl2_101
| spl2_184
| ~ spl2_80
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f5639,f4369,f2972,f5656,f3172]) ).
thf(f5750,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_104 ),
inference(avatar_component_clause,[],[f3184]) ).
thf(f5775,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_104
| ~ spl2_147 ),
inference(constrained_superposition,[],[f4403,f3185]) ).
thf(f5781,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_104
| ~ spl2_147 ),
inference(duplicate_literal_removal,[],[f5775]) ).
thf(f5782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_104
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f5781]) ).
thf(f5787,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_104
| ~ spl2_120
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f5782,f4160]) ).
thf(f5788,plain,
( spl2_24
| ~ spl2_104
| ~ spl2_120
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f5787,f4402,f3591,f3184,f504]) ).
thf(f5790,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_24
| ~ spl2_104 ),
inference(constrained_superposition,[],[f505,f3185]) ).
thf(f5796,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_24
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f5790]) ).
thf(f5800,plain,
( $false
| ~ spl2_24
| ~ spl2_104
| ~ spl2_114 ),
inference(forward_subsumption_resolution,[],[f5796,f3243]) ).
thf(f5801,plain,
( ~ spl2_24
| ~ spl2_104
| ~ spl2_114 ),
inference(avatar_contradiction_clause,[],[f5800]) ).
thf(f5804,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_80
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2973,f3554]) ).
thf(f5806,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_79
| ~ spl2_118 ),
inference(constrained_superposition,[],[f4073,f3554]) ).
thf(f5808,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_81
| ~ spl2_118 ),
inference(constrained_superposition,[],[f4981,f3554]) ).
thf(f5831,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_118 ),
inference(constrained_superposition,[],[f4774,f3554]) ).
thf(f5867,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_118 ),
inference(duplicate_literal_removal,[],[f5831]) ).
thf(f5873,plain,
( ~ spl2_65
| spl2_79
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f5806,f3553,f2969,f2271]) ).
thf(f5878,plain,
( spl2_85
| ~ spl2_29
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f5867,f3553,f597,f3098]) ).
thf(f5890,plain,
( $false
| ~ spl2_80
| spl2_101
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f5804,f5654]) ).
thf(f5891,plain,
( ~ spl2_80
| spl2_101
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f5890]) ).
thf(f5895,plain,
( $false
| spl2_81
| ~ spl2_118
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f5808,f4160]) ).
thf(f5896,plain,
( spl2_81
| ~ spl2_118
| ~ spl2_120 ),
inference(avatar_contradiction_clause,[],[f5895]) ).
thf(f5923,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_54
| ~ spl2_80 ),
inference(constrained_superposition,[],[f4345,f2973]) ).
thf(f5930,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_54
| ~ spl2_80 ),
inference(duplicate_literal_removal,[],[f5923]) ).
thf(f5931,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_54
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f5930]) ).
thf(f5943,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_54
| ~ spl2_80 ),
inference(constrained_superposition,[],[f5931,f2973]) ).
thf(f5955,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_54
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f5943]) ).
thf(f5970,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_54
| ~ spl2_75
| ~ spl2_80 ),
inference(constrained_superposition,[],[f5955,f2954]) ).
thf(f5984,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_54
| ~ spl2_75
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f5970]) ).
thf(f5992,plain,
( ~ spl2_176
| ~ spl2_54
| ~ spl2_75
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f5984,f2972,f2953,f2029,f5542]) ).
thf(f5998,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_161 ),
inference(avatar_component_clause,[],[f4993]) ).
thf(f6016,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_54
| ~ spl2_179 ),
inference(constrained_superposition,[],[f2030,f5578]) ).
thf(f6018,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_179 ),
inference(constrained_superposition,[],[f454,f5578]) ).
thf(f6072,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_66
| ~ spl2_179 ),
inference(forward_subsumption_resolution,[],[f6018,f2276]) ).
thf(f6088,plain,
( spl2_74
| spl2_66
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f6072,f5577,f2275,f2929]) ).
thf(f6094,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10
| ~ spl2_64
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f5330,f216]) ).
thf(f6095,plain,
( spl2_74
| ~ spl2_54
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f6016,f5577,f2029,f2929]) ).
thf(f6097,plain,
( spl2_60
| spl2_88 ),
inference(avatar_split_clause,[],[f5553,f3117,f2071]) ).
thf(f6106,plain,
( spl2_60
| ~ spl2_10
| ~ spl2_64
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f6094,f3591,f2105,f142,f2071]) ).
thf(f6107,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f170,f28]) ).
thf(f6108,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f6107]) ).
thf(f6109,plain,
( spl2_38
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f6108,f169,f1645]) ).
thf(f6110,plain,
( $false
| ~ spl2_13
| ~ spl2_60 ),
inference(forward_subsumption_resolution,[],[f2072,f170]) ).
thf(f6111,plain,
( ~ spl2_13
| ~ spl2_60 ),
inference(avatar_contradiction_clause,[],[f6110]) ).
thf(f6139,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_38
| spl2_88 ),
inference(constrained_superposition,[],[f5534,f1646]) ).
thf(f6144,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_38
| ~ spl2_64
| ~ spl2_120 ),
inference(constrained_superposition,[],[f5311,f1646]) ).
thf(f6159,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_38
| spl2_88 ),
inference(trivial_inequality_removal,[],[f6139]) ).
thf(f6160,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_38
| ~ spl2_64
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f6144]) ).
thf(f6165,plain,
( $false
| ~ spl2_38
| spl2_88 ),
inference(forward_subsumption_resolution,[],[f6159,f40]) ).
thf(f6166,plain,
( ~ spl2_38
| spl2_88 ),
inference(avatar_contradiction_clause,[],[f6165]) ).
thf(f6167,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_38
| ~ spl2_64
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f6160,f216]) ).
thf(f6170,plain,
( $false
| ~ spl2_10
| ~ spl2_38
| ~ spl2_64
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f6167,f40]) ).
thf(f6171,plain,
( ~ spl2_10
| ~ spl2_38
| ~ spl2_64
| ~ spl2_120 ),
inference(avatar_contradiction_clause,[],[f6170]) ).
thf(f6192,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f5346,f63]) ).
thf(f6196,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X0 ) ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f6192]) ).
thf(f6326,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_176 ),
inference(constrained_superposition,[],[f5543,f64]) ).
thf(f6332,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_176 ),
inference(trivial_inequality_removal,[],[f6326]) ).
thf(f6337,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f6332,f40]) ).
thf(f6342,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_176 ),
inference(constrained_superposition,[],[f57,f6337]) ).
thf(f6353,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| spl2_176 ),
inference(trivial_inequality_removal,[],[f6342]) ).
thf(f6364,definition,
( spl2_208
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_208])],[avatar_definition]) ).
thf(f6365,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_208 ),
inference(avatar_component_clause,[],[f6364]) ).
thf(f6369,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| spl2_59
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f6353,f4970]) ).
thf(f6373,definition,
( spl2_209
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_209])],[avatar_definition]) ).
thf(f6374,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_209 ),
inference(avatar_component_clause,[],[f6373]) ).
thf(f6375,plain,
( spl2_51
| ~ spl2_209
| spl2_59
| spl2_176 ),
inference(avatar_split_clause,[],[f6369,f5542,f2048,f6373,f2019]) ).
thf(f6376,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_81 ),
inference(constrained_superposition,[],[f100,f2977]) ).
thf(f6382,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f6376]) ).
thf(f6392,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_119
| ~ spl2_135 ),
inference(constrained_superposition,[],[f3589,f4020]) ).
thf(f6397,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_119
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f6392]) ).
thf(f6403,plain,
( $false
| ~ spl2_81
| ~ spl2_119
| ~ spl2_135 ),
inference(forward_subsumption_resolution,[],[f6397,f2977]) ).
thf(f6404,plain,
( ~ spl2_81
| ~ spl2_119
| ~ spl2_135 ),
inference(avatar_contradiction_clause,[],[f6403]) ).
thf(f6428,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_135 ),
inference(constrained_superposition,[],[f4990,f63]) ).
thf(f6432,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_135 ),
inference(trivial_inequality_removal,[],[f6428]) ).
thf(f6439,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f57,f2970]) ).
thf(f6440,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f164,f2970]) ).
thf(f6447,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f6440]) ).
thf(f6448,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f6439]) ).
thf(f6457,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_78
| ~ spl2_81 ),
inference(constrained_superposition,[],[f6382,f2966]) ).
thf(f6467,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_78
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f6457]) ).
thf(f6475,plain,
( ~ spl2_161
| ~ spl2_5
| ~ spl2_78
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f6467,f2976,f2965,f99,f4993]) ).
thf(f6499,definition,
( spl2_212
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_212])],[avatar_definition]) ).
thf(f6500,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_212 ),
inference(avatar_component_clause,[],[f6499]) ).
thf(f6515,definition,
( spl2_213
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_213])],[avatar_definition]) ).
thf(f6516,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_213 ),
inference(avatar_component_clause,[],[f6515]) ).
thf(f6550,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_81
| ~ spl2_119 ),
inference(constrained_superposition,[],[f5057,f2977]) ).
thf(f6556,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_81
| ~ spl2_119 ),
inference(trivial_inequality_removal,[],[f6550]) ).
thf(f6587,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_26
| ~ spl2_64 ),
inference(constrained_superposition,[],[f586,f2106]) ).
thf(f6596,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_26
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f6587]) ).
thf(f6606,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f5651]) ).
thf(f6608,definition,
( spl2_214
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_214])],[avatar_definition]) ).
thf(f6609,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_214 ),
inference(avatar_component_clause,[],[f6608]) ).
thf(f6650,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f146,f50]) ).
thf(f6652,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_11
| ~ spl2_54 ),
inference(constrained_superposition,[],[f146,f2030]) ).
thf(f6668,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f6650]) ).
thf(f6671,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_54 ),
inference(trivial_inequality_removal,[],[f6652]) ).
thf(f6673,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f6668,f216]) ).
thf(f6675,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_11
| ~ spl2_54
| ~ spl2_64 ),
inference(forward_subsumption_resolution,[],[f6671,f2106]) ).
thf(f6676,plain,
( spl2_15
| ~ spl2_10
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f6673,f145,f142,f201]) ).
thf(f6684,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_11
| ~ spl2_54
| ~ spl2_64 ),
inference(constrained_superposition,[],[f30,f6675]) ).
thf(f6689,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_54
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f6684]) ).
thf(f6695,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_54
| ~ spl2_64 ),
inference(constrained_superposition,[],[f6689,f6675]) ).
thf(f6701,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_54
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f6695]) ).
thf(f6828,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_125
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3967,f3785]) ).
thf(f6840,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_125
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f6828]) ).
thf(f6852,plain,
( $false
| ~ spl2_60
| ~ spl2_125
| ~ spl2_132 ),
inference(forward_subsumption_resolution,[],[f6840,f2072]) ).
thf(f6853,plain,
( ~ spl2_60
| ~ spl2_125
| ~ spl2_132 ),
inference(avatar_contradiction_clause,[],[f6852]) ).
thf(f6864,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_114 ),
inference(constrained_superposition,[],[f146,f3243]) ).
thf(f6880,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f6864]) ).
thf(f6883,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_54
| ~ spl2_64
| ~ spl2_77 ),
inference(constrained_superposition,[],[f6701,f2963]) ).
thf(f6885,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| ~ spl2_77 ),
inference(constrained_superposition,[],[f83,f2963]) ).
thf(f6895,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_54
| ~ spl2_64
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f6883]) ).
thf(f6900,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f6885]) ).
thf(f6910,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_3
| ~ spl2_77
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6900,f6500]) ).
thf(f6913,plain,
( $false
| ~ spl2_3
| ~ spl2_77
| spl2_104
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f6910,f5750]) ).
thf(f6914,plain,
( ~ spl2_3
| ~ spl2_77
| spl2_104
| ~ spl2_212 ),
inference(avatar_contradiction_clause,[],[f6913]) ).
thf(f6915,plain,
( $false
| ~ spl2_11
| ~ spl2_54
| ~ spl2_64
| ~ spl2_77 ),
inference(forward_subsumption_resolution,[],[f6895,f6675]) ).
thf(f6916,plain,
( ~ spl2_11
| ~ spl2_54
| ~ spl2_64
| ~ spl2_77 ),
inference(avatar_contradiction_clause,[],[f6915]) ).
thf(f6920,plain,
( spl2_133
| spl2_135 ),
inference(avatar_split_clause,[],[f6432,f4019,f3983]) ).
thf(f6922,plain,
( spl2_133
| ~ spl2_81
| ~ spl2_119 ),
inference(avatar_split_clause,[],[f6556,f3588,f2976,f3983]) ).
thf(f6924,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_11
| ~ spl2_114 ),
inference(forward_subsumption_resolution,[],[f6880,f216]) ).
thf(f6926,definition,
( spl2_223
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_223])],[avatar_definition]) ).
thf(f6927,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_223 ),
inference(avatar_component_clause,[],[f6926]) ).
thf(f6930,definition,
( spl2_224
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_224])],[avatar_definition]) ).
thf(f6931,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_224 ),
inference(avatar_component_clause,[],[f6930]) ).
thf(f6933,plain,
( spl2_133
| ~ spl2_10
| ~ spl2_11
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f6924,f3242,f145,f142,f3983]) ).
thf(f6937,plain,
( spl2_120
| spl2_1 ),
inference(avatar_split_clause,[],[f5414,f75,f3591]) ).
thf(f6949,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2970,f3554]) ).
thf(f6950,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_81
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2977,f3554]) ).
thf(f6951,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_82
| ~ spl2_118 ),
inference(constrained_superposition,[],[f2981,f3554]) ).
thf(f6967,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f63,f3554]) ).
thf(f6972,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_118 ),
inference(constrained_superposition,[],[f146,f3554]) ).
thf(f7006,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_118 ),
inference(duplicate_literal_removal,[],[f6972]) ).
thf(f7009,plain,
( spl2_83
| spl2_8
| ~ spl2_11
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f7006,f3553,f145,f121,f3084]) ).
thf(f7011,plain,
( $false
| ~ spl2_81
| ~ spl2_118
| spl2_120 ),
inference(forward_subsumption_resolution,[],[f6950,f3592]) ).
thf(f7012,plain,
( ~ spl2_81
| ~ spl2_118
| spl2_120 ),
inference(avatar_contradiction_clause,[],[f7011]) ).
thf(f7013,plain,
( ~ spl2_1
| spl2_82
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f6951,f3553,f2980,f75]) ).
thf(f7019,plain,
( $false
| spl2_65
| ~ spl2_79
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f6949,f2272]) ).
thf(f7020,plain,
( spl2_65
| ~ spl2_79
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f7019]) ).
thf(f7021,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_21
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f6967,f343]) ).
thf(f7029,plain,
( spl2_8
| spl2_21
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f7021,f3553,f342,f121]) ).
thf(f7031,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_59
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f6447,f4970]) ).
thf(f7032,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_59
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f6448,f4970]) ).
thf(f7034,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| spl2_59
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f7031,f40]) ).
thf(f7035,plain,
( ~ spl2_82
| spl2_51
| spl2_59
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f7032,f2969,f2048,f2019,f2980]) ).
thf(f7037,plain,
( spl2_51
| spl2_81
| spl2_59
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f7034,f2969,f2048,f2976,f2019]) ).
thf(f7042,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f163,f3082]) ).
thf(f7044,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f30,f3082]) ).
thf(f7048,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_8 ),
inference(duplicate_literal_removal,[],[f7042]) ).
thf(f7049,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f7048]) ).
thf(f7052,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_8 ),
inference(duplicate_literal_removal,[],[f7044]) ).
thf(f7053,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f7052]) ).
thf(f7056,plain,
( spl2_34
| spl2_4
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f7049,f121,f85,f1431]) ).
thf(f7058,plain,
( spl2_85
| spl2_4
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f7053,f121,f85,f3098]) ).
thf(f7062,plain,
( ( $true != $true )
| ~ spl2_9
| spl2_104 ),
inference(constrained_superposition,[],[f5750,f125]) ).
thf(f7078,plain,
( $false
| ~ spl2_9
| spl2_104 ),
inference(trivial_inequality_removal,[],[f7062]) ).
thf(f7079,plain,
( ~ spl2_9
| spl2_104 ),
inference(avatar_contradiction_clause,[],[f7078]) ).
thf(f7098,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_74 ),
inference(constrained_superposition,[],[f146,f2930]) ).
thf(f7104,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f7098]) ).
thf(f7112,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| spl2_58
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f7104,f2045]) ).
thf(f7115,plain,
( $false
| ~ spl2_11
| spl2_58
| ~ spl2_64
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f7112,f2106]) ).
thf(f7116,plain,
( ~ spl2_11
| spl2_58
| ~ spl2_64
| ~ spl2_74 ),
inference(avatar_contradiction_clause,[],[f7115]) ).
thf(f7118,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f3694,f49]) ).
thf(f7120,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f3694,f28]) ).
thf(f7122,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f7118]) ).
thf(f7123,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f7120]) ).
thf(f7124,plain,
( spl2_161
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f7122,f3693,f4993]) ).
thf(f7125,plain,
( spl2_165
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f7123,f3693,f5086]) ).
thf(f7126,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_12
| ~ spl2_133 ),
inference(constrained_superposition,[],[f167,f3984]) ).
thf(f7128,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f164,f3984]) ).
thf(f7136,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f7126]) ).
thf(f7137,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f7128]) ).
thf(f7145,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_81
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f7137,f4981]) ).
thf(f7147,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_81
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f7145,f40]) ).
thf(f7151,plain,
( spl2_4
| spl2_120
| spl2_81
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f7147,f3983,f2976,f3591,f85]) ).
thf(f7177,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_119
| ~ spl2_161 ),
inference(constrained_superposition,[],[f5057,f5998]) ).
thf(f7180,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_5
| ~ spl2_161 ),
inference(constrained_superposition,[],[f100,f5998]) ).
thf(f7183,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f29,f5998]) ).
thf(f7184,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_119
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f7177]) ).
thf(f7185,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f7183]) ).
thf(f7190,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f7180]) ).
thf(f7195,plain,
( spl2_212
| ~ spl2_119
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f7184,f4993,f3588,f6499]) ).
thf(f7196,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_209 ),
inference(constrained_superposition,[],[f6374,f49]) ).
thf(f7199,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_209 ),
inference(trivial_inequality_removal,[],[f7196]) ).
thf(f7258,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_71
| ~ spl2_80 ),
inference(constrained_superposition,[],[f2672,f2973]) ).
thf(f7259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_64
| ~ spl2_80 ),
inference(constrained_superposition,[],[f4692,f2973]) ).
thf(f7261,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_80 ),
inference(constrained_superposition,[],[f137,f2973]) ).
thf(f7262,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_80 ),
inference(constrained_superposition,[],[f146,f2973]) ).
thf(f7265,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl2_80 ),
inference(constrained_superposition,[],[f29,f2973]) ).
thf(f7266,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f7262]) ).
thf(f7267,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_64
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f7259]) ).
thf(f7269,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_71
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f7258]) ).
thf(f7270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f7261]) ).
thf(f7272,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f7265]) ).
thf(f7298,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_223 ),
inference(constrained_superposition,[],[f6927,f454]) ).
thf(f7299,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_223 ),
inference(constrained_superposition,[],[f6927,f51]) ).
thf(f7302,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_223 ),
inference(trivial_inequality_removal,[],[f7298]) ).
thf(f7303,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_223 ),
inference(trivial_inequality_removal,[],[f7299]) ).
thf(f7305,definition,
( spl2_227
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f7306,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_227 ),
inference(avatar_component_clause,[],[f7305]) ).
thf(f7308,plain,
( spl2_115
| spl2_223 ),
inference(avatar_split_clause,[],[f7302,f6926,f3245]) ).
thf(f7309,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_62
| spl2_223 ),
inference(forward_subsumption_resolution,[],[f7303,f2934]) ).
thf(f7310,plain,
( spl2_115
| spl2_62
| spl2_223 ),
inference(avatar_split_clause,[],[f7309,f6926,f2078,f3245]) ).
thf(f7324,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_145 ),
inference(constrained_superposition,[],[f4277,f51]) ).
thf(f7329,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f7324]) ).
thf(f7331,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_224 ),
inference(constrained_superposition,[],[f6931,f51]) ).
thf(f7332,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_224 ),
inference(constrained_superposition,[],[f6931,f28]) ).
thf(f7333,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_224 ),
inference(trivial_inequality_removal,[],[f7331]) ).
thf(f7334,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_224 ),
inference(trivial_inequality_removal,[],[f7332]) ).
thf(f7335,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_176 ),
inference(avatar_component_clause,[],[f5542]) ).
thf(f7336,plain,
( spl2_118
| spl2_176
| spl2_224 ),
inference(avatar_split_clause,[],[f7333,f6930,f5542,f3553]) ).
thf(f7337,plain,
( spl2_179
| spl2_176
| spl2_224 ),
inference(avatar_split_clause,[],[f7334,f6930,f5542,f5577]) ).
thf(f7338,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_176 ),
inference(constrained_superposition,[],[f5543,f64]) ).
thf(f7345,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_176 ),
inference(trivial_inequality_removal,[],[f7338]) ).
thf(f7348,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f7345,f40]) ).
thf(f7350,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| spl2_176 ),
inference(constrained_superposition,[],[f83,f7348]) ).
thf(f7359,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| spl2_176 ),
inference(trivial_inequality_removal,[],[f7350]) ).
thf(f7370,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_80 ),
inference(constrained_superposition,[],[f6596,f2973]) ).
thf(f7378,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f7370]) ).
thf(f7390,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f29,f2966]) ).
thf(f7394,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f7390]) ).
thf(f7401,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_105 ),
inference(constrained_superposition,[],[f3188,f454]) ).
thf(f7405,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f7401]) ).
thf(f7409,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_161
| ~ spl2_183 ),
inference(constrained_superposition,[],[f7190,f6606]) ).
thf(f7418,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_161
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f7409]) ).
thf(f7419,plain,
( $false
| ~ spl2_5
| ~ spl2_120
| ~ spl2_161
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f7418,f4160]) ).
thf(f7420,plain,
( ~ spl2_5
| ~ spl2_120
| ~ spl2_161
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f7419]) ).
thf(f7421,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_214 ),
inference(constrained_superposition,[],[f6609,f62]) ).
thf(f7425,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_214 ),
inference(trivial_inequality_removal,[],[f7421]) ).
thf(f7436,plain,
( spl2_104
| spl2_214 ),
inference(avatar_split_clause,[],[f7425,f6608,f3184]) ).
thf(f7439,definition,
( spl2_228
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_228])],[avatar_definition]) ).
thf(f7440,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_228 ),
inference(avatar_component_clause,[],[f7439]) ).
thf(f7441,plain,
( ~ spl2_104
| spl2_228
| ~ spl2_71
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f7269,f2972,f2671,f7439,f3184]) ).
thf(f7466,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_80
| ~ spl2_228 ),
inference(constrained_superposition,[],[f7440,f2973]) ).
thf(f7470,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_80
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f7466]) ).
thf(f7476,plain,
( $false
| ~ spl2_80
| ~ spl2_101
| ~ spl2_228 ),
inference(forward_subsumption_resolution,[],[f7470,f3173]) ).
thf(f7477,plain,
( ~ spl2_80
| ~ spl2_101
| ~ spl2_228 ),
inference(avatar_contradiction_clause,[],[f7476]) ).
thf(f7493,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_78
| ~ spl2_184 ),
inference(constrained_superposition,[],[f5657,f2966]) ).
thf(f7506,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_78
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f7493]) ).
thf(f7509,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_208 ),
inference(constrained_superposition,[],[f6365,f62]) ).
thf(f7514,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f7509]) ).
thf(f7656,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_78
| ~ spl2_80 ),
inference(constrained_superposition,[],[f7272,f2966]) ).
thf(f7668,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_78
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f7656]) ).
thf(f7736,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_132
| ~ spl2_227 ),
inference(constrained_superposition,[],[f3967,f7306]) ).
thf(f7737,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_133
| ~ spl2_227 ),
inference(constrained_superposition,[],[f3984,f7306]) ).
thf(f7745,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_104
| ~ spl2_227 ),
inference(constrained_superposition,[],[f5750,f7306]) ).
thf(f7746,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_161
| ~ spl2_227 ),
inference(constrained_superposition,[],[f5998,f7306]) ).
thf(f7800,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_132
| ~ spl2_227 ),
inference(duplicate_literal_removal,[],[f7736]) ).
thf(f7806,plain,
( spl2_72
| ~ spl2_132
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f7800,f7305,f3966,f2923]) ).
thf(f7812,plain,
( $false
| spl2_81
| ~ spl2_161
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f7746,f4981]) ).
thf(f7813,plain,
( spl2_81
| ~ spl2_161
| ~ spl2_227 ),
inference(avatar_contradiction_clause,[],[f7812]) ).
thf(f7819,plain,
( $false
| spl2_58
| ~ spl2_133
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f7737,f2045]) ).
thf(f7820,plain,
( spl2_58
| ~ spl2_133
| ~ spl2_227 ),
inference(avatar_contradiction_clause,[],[f7819]) ).
thf(f7826,plain,
( $false
| ~ spl2_101
| spl2_104
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f7745,f3173]) ).
thf(f7827,plain,
( ~ spl2_101
| spl2_104
| ~ spl2_227 ),
inference(avatar_contradiction_clause,[],[f7826]) ).
thf(f7864,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_114 ),
inference(avatar_component_clause,[],[f3242]) ).
thf(f7865,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_115 ),
inference(avatar_component_clause,[],[f3245]) ).
thf(f7875,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_114 ),
inference(constrained_superposition,[],[f7864,f50]) ).
thf(f7879,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_114 ),
inference(trivial_inequality_removal,[],[f7875]) ).
thf(f7882,plain,
( spl2_125
| spl2_114 ),
inference(avatar_split_clause,[],[f7879,f3242,f3784]) ).
thf(f7885,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_105
| ~ spl2_125 ),
inference(constrained_superposition,[],[f3188,f3785]) ).
thf(f7886,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52
| ~ spl2_125 ),
inference(constrained_superposition,[],[f2023,f3785]) ).
thf(f7895,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_52
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f7886]) ).
thf(f7900,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_105
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f7885]) ).
thf(f7903,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_52
| ~ spl2_60
| ~ spl2_125 ),
inference(forward_subsumption_resolution,[],[f7895,f2072]) ).
thf(f7905,definition,
( spl2_239
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_239])],[avatar_definition]) ).
thf(f7906,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_239 ),
inference(avatar_component_clause,[],[f7905]) ).
thf(f7910,plain,
( spl2_115
| ~ spl2_52
| ~ spl2_60
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f7903,f3784,f2071,f2022,f3245]) ).
thf(f7911,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_105
| ~ spl2_125 ),
inference(constrained_superposition,[],[f7900,f28]) ).
thf(f7912,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_105
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f7911]) ).
thf(f7934,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_239 ),
inference(constrained_superposition,[],[f7906,f454]) ).
thf(f7937,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f7934]) ).
thf(f7980,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f7185,f50]) ).
thf(f7991,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_161 ),
inference(duplicate_literal_removal,[],[f7980]) ).
thf(f7992,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f7991]) ).
thf(f7995,definition,
( spl2_240
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_240])],[avatar_definition]) ).
thf(f7996,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_240 ),
inference(avatar_component_clause,[],[f7995]) ).
thf(f7997,plain,
( spl2_128
| spl2_240
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f7992,f4993,f7995,f3794]) ).
thf(f8004,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_52
| ~ spl2_128 ),
inference(constrained_superposition,[],[f2023,f3795]) ).
thf(f8015,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_52
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f8004]) ).
thf(f8023,definition,
( spl2_242
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_242])],[avatar_definition]) ).
thf(f8024,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_242 ),
inference(avatar_component_clause,[],[f8023]) ).
thf(f8026,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_52
| ~ spl2_60
| ~ spl2_128 ),
inference(forward_subsumption_resolution,[],[f8015,f2072]) ).
thf(f8033,plain,
( spl2_137
| ~ spl2_52
| ~ spl2_60
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f8026,f3794,f2071,f2022,f4075]) ).
thf(f8053,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_78
| ~ spl2_148 ),
inference(constrained_superposition,[],[f2966,f4469]) ).
thf(f8074,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_148 ),
inference(constrained_superposition,[],[f146,f4469]) ).
thf(f8076,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_52
| ~ spl2_148 ),
inference(constrained_superposition,[],[f2023,f4469]) ).
thf(f8079,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_119
| ~ spl2_148 ),
inference(constrained_superposition,[],[f5057,f4469]) ).
thf(f8108,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_148 ),
inference(duplicate_literal_removal,[],[f8074]) ).
thf(f8111,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_52
| ~ spl2_148 ),
inference(duplicate_literal_removal,[],[f8076]) ).
thf(f8115,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| spl2_8
| ~ spl2_11
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f8108,f122]) ).
thf(f8124,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_52
| spl2_74
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f8111,f5536]) ).
thf(f8127,plain,
( $false
| ~ spl2_78
| spl2_104
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f8053,f5750]) ).
thf(f8128,plain,
( ~ spl2_78
| spl2_104
| ~ spl2_148 ),
inference(avatar_contradiction_clause,[],[f8127]) ).
thf(f8130,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_119
| ~ spl2_120
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f8079,f4160]) ).
thf(f8134,plain,
( spl2_83
| spl2_8
| ~ spl2_11
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f8115,f4468,f145,f121,f3084]) ).
thf(f8139,plain,
( spl2_72
| ~ spl2_52
| spl2_74
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f8124,f4468,f2929,f2022,f2923]) ).
thf(f8143,plain,
( $false
| spl2_8
| ~ spl2_119
| ~ spl2_120
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f8130,f122]) ).
thf(f8144,plain,
( spl2_8
| ~ spl2_119
| ~ spl2_120
| ~ spl2_148 ),
inference(avatar_contradiction_clause,[],[f8143]) ).
thf(f8252,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_78
| ~ spl2_80 ),
inference(constrained_superposition,[],[f7668,f2966]) ).
thf(f8257,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_78
| ~ spl2_80 ),
inference(duplicate_literal_removal,[],[f8252]) ).
thf(f8258,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_78
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f8257]) ).
thf(f8264,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_78
| ~ spl2_80
| ~ spl2_115 ),
inference(forward_subsumption_resolution,[],[f8258,f3246]) ).
thf(f8271,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_34
| spl2_183 ),
inference(constrained_superposition,[],[f5652,f1432]) ).
thf(f8284,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_5
| ~ spl2_34
| ~ spl2_161 ),
inference(constrained_superposition,[],[f7190,f1432]) ).
thf(f8290,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_5
| ~ spl2_34
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f8284]) ).
thf(f8312,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_34
| spl2_183 ),
inference(trivial_inequality_removal,[],[f8271]) ).
thf(f8314,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_5
| ~ spl2_34
| ~ spl2_120
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f8290,f4160]) ).
thf(f8327,plain,
( spl2_148
| ~ spl2_34
| spl2_183 ),
inference(avatar_split_clause,[],[f8312,f5651,f1431,f4468]) ).
thf(f8332,plain,
( spl2_148
| ~ spl2_5
| ~ spl2_34
| ~ spl2_120
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f8314,f4993,f3591,f1431,f99,f4468]) ).
thf(f8457,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_78 ),
inference(constrained_superposition,[],[f7394,f50]) ).
thf(f8458,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_75
| ~ spl2_78 ),
inference(constrained_superposition,[],[f7394,f2954]) ).
thf(f8468,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_75
| ~ spl2_78 ),
inference(duplicate_literal_removal,[],[f8458]) ).
thf(f8469,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_75
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f8468]) ).
thf(f8470,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_78 ),
inference(trivial_inequality_removal,[],[f8457]) ).
thf(f8520,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_59
| ~ spl2_67 ),
inference(constrained_superposition,[],[f4970,f2334]) ).
thf(f8530,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_59
| ~ spl2_67 ),
inference(trivial_inequality_removal,[],[f8520]) ).
thf(f8559,plain,
( $false
| spl2_59
| ~ spl2_67 ),
inference(forward_subsumption_resolution,[],[f8530,f40]) ).
thf(f8560,plain,
( spl2_59
| ~ spl2_67 ),
inference(avatar_contradiction_clause,[],[f8559]) ).
thf(f8575,definition,
( spl2_258
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_258])],[avatar_definition]) ).
thf(f8576,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_258 ),
inference(avatar_component_clause,[],[f8575]) ).
thf(f8580,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_27
| spl2_81 ),
inference(constrained_superposition,[],[f4981,f589]) ).
thf(f8600,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_27
| spl2_81 ),
inference(trivial_inequality_removal,[],[f8580]) ).
thf(f8607,plain,
( spl2_118
| ~ spl2_27
| spl2_81 ),
inference(avatar_split_clause,[],[f8600,f2976,f588,f3553]) ).
thf(f8761,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| spl2_104 ),
inference(constrained_superposition,[],[f5750,f326]) ).
thf(f8783,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| spl2_104 ),
inference(trivial_inequality_removal,[],[f8761]) ).
thf(f8809,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_19
| spl2_104
| spl2_114 ),
inference(forward_subsumption_resolution,[],[f8783,f7864]) ).
thf(f8815,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_19
| spl2_104
| spl2_114 ),
inference(forward_subsumption_resolution,[],[f8809,f40]) ).
thf(f8821,plain,
( spl2_118
| ~ spl2_19
| spl2_104
| spl2_114 ),
inference(avatar_split_clause,[],[f8815,f3242,f3184,f325,f3553]) ).
thf(f8833,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_135
| ~ spl2_162 ),
inference(constrained_superposition,[],[f4990,f4998]) ).
thf(f8840,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_64
| ~ spl2_80
| ~ spl2_162 ),
inference(constrained_superposition,[],[f7267,f4998]) ).
thf(f8851,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_135
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f8833]) ).
thf(f8853,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_64
| ~ spl2_80
| ~ spl2_162 ),
inference(duplicate_literal_removal,[],[f8840]) ).
thf(f8854,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_64
| ~ spl2_80
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f8853]) ).
thf(f8865,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_135
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f8851,f40]) ).
thf(f8866,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_64
| ~ spl2_80
| spl2_81
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f8854,f4981]) ).
thf(f8869,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_81
| spl2_135
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f8865,f4981]) ).
thf(f8870,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_64
| ~ spl2_80
| spl2_81
| ~ spl2_101
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f8866,f3173]) ).
thf(f8871,plain,
( spl2_118
| spl2_81
| spl2_135
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f8869,f4997,f4019,f2976,f3553]) ).
thf(f8872,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_64
| ~ spl2_80
| spl2_81
| ~ spl2_101
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f8870,f40]) ).
thf(f8873,plain,
( spl2_228
| spl2_118
| ~ spl2_64
| ~ spl2_80
| spl2_81
| ~ spl2_101
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f8872,f4997,f3172,f2976,f2972,f2105,f3553,f7439]) ).
thf(f8900,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_81
| ~ spl2_155 ),
inference(constrained_superposition,[],[f4981,f4612]) ).
thf(f8903,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_81
| ~ spl2_155 ),
inference(trivial_inequality_removal,[],[f8900]) ).
thf(f8935,plain,
( $false
| spl2_81
| ~ spl2_155 ),
inference(forward_subsumption_resolution,[],[f8903,f40]) ).
thf(f8936,plain,
( spl2_81
| ~ spl2_155 ),
inference(avatar_contradiction_clause,[],[f8935]) ).
thf(f8940,definition,
( spl2_263
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_263])],[avatar_definition]) ).
thf(f8941,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_263 ),
inference(avatar_component_clause,[],[f8940]) ).
thf(f9366,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_59
| ~ spl2_80 ),
inference(constrained_superposition,[],[f7272,f5071]) ).
thf(f9370,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_59
| ~ spl2_80 ),
inference(duplicate_literal_removal,[],[f9366]) ).
thf(f9371,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| spl2_59
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f9370]) ).
thf(f9445,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_165
| spl2_176 ),
inference(constrained_superposition,[],[f5543,f5087]) ).
thf(f9489,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_165
| spl2_176 ),
inference(trivial_inequality_removal,[],[f9445]) ).
thf(f9500,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_149 ),
inference(avatar_component_clause,[],[f4471]) ).
thf(f9515,plain,
( spl2_179
| ~ spl2_165
| spl2_176 ),
inference(avatar_split_clause,[],[f9489,f5542,f5086,f5577]) ).
thf(f9520,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_149 ),
inference(constrained_superposition,[],[f9500,f63]) ).
thf(f9524,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_149 ),
inference(trivial_inequality_removal,[],[f9520]) ).
thf(f9577,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_145 ),
inference(constrained_superposition,[],[f7329,f49]) ).
thf(f9580,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f9577]) ).
thf(f9588,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_145 ),
inference(constrained_superposition,[],[f6596,f9580]) ).
thf(f9612,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f9588]) ).
thf(f9624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_119
| ~ spl2_145 ),
inference(forward_subsumption_resolution,[],[f9612,f3589]) ).
thf(f9763,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_227 ),
inference(avatar_component_clause,[],[f7305]) ).
thf(f9782,definition,
( spl2_274
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).
thf(f9783,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f9782]) ).
thf(f9785,definition,
( spl2_275
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_275])],[avatar_definition]) ).
thf(f9786,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_275 ),
inference(avatar_component_clause,[],[f9785]) ).
thf(f9789,definition,
( spl2_276
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_276])],[avatar_definition]) ).
thf(f9790,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_276 ),
inference(avatar_component_clause,[],[f9789]) ).
thf(f9792,definition,
( spl2_277
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_277])],[avatar_definition]) ).
thf(f9793,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_277 ),
inference(avatar_component_clause,[],[f9792]) ).
thf(f9801,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_78
| ~ spl2_80
| ~ spl2_115
| ~ spl2_274 ),
inference(constrained_superposition,[],[f8264,f9783]) ).
thf(f9802,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_75
| ~ spl2_78
| ~ spl2_274 ),
inference(constrained_superposition,[],[f8469,f9783]) ).
thf(f9817,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_78
| ~ spl2_80
| ~ spl2_115
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f9801]) ).
thf(f9819,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_75
| ~ spl2_78
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f9802]) ).
thf(f9821,definition,
( spl2_278
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_278])],[avatar_definition]) ).
thf(f9822,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_278 ),
inference(avatar_component_clause,[],[f9821]) ).
thf(f9824,definition,
( spl2_279
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).
thf(f9825,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_279 ),
inference(avatar_component_clause,[],[f9824]) ).
thf(f9828,definition,
( spl2_280
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_280])],[avatar_definition]) ).
thf(f9829,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_280 ),
inference(avatar_component_clause,[],[f9828]) ).
thf(f9831,definition,
( spl2_281
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_281])],[avatar_definition]) ).
thf(f9832,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_281 ),
inference(avatar_component_clause,[],[f9831]) ).
thf(f9835,definition,
( spl2_282
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_282])],[avatar_definition]) ).
thf(f9836,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_282 ),
inference(avatar_component_clause,[],[f9835]) ).
thf(f9837,plain,
( spl2_282
| ~ spl2_279
| ~ spl2_75
| ~ spl2_78
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f9819,f9782,f2965,f2953,f9824,f9835]) ).
thf(f9863,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_78
| ~ spl2_80
| ~ spl2_115
| ~ spl2_274 ),
inference(constrained_superposition,[],[f9817,f64]) ).
thf(f9869,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_78
| ~ spl2_80
| ~ spl2_115
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f9863]) ).
thf(f9873,definition,
( spl2_285
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_285])],[avatar_definition]) ).
thf(f9874,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_285 ),
inference(avatar_component_clause,[],[f9873]) ).
thf(f9880,definition,
( spl2_287
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).
thf(f9881,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_287 ),
inference(avatar_component_clause,[],[f9880]) ).
thf(f9882,plain,
( spl2_287
| spl2_118
| ~ spl2_78
| ~ spl2_80
| ~ spl2_115
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f9869,f9782,f3245,f2972,f2965,f3553,f9880]) ).
thf(f9917,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_285 ),
inference(constrained_superposition,[],[f48,f9874]) ).
thf(f9964,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_285 ),
inference(equality_resolution,[],[f9917]) ).
thf(f9970,plain,
( spl2_179
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f9964,f9873,f5577]) ).
thf(f9973,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_18
| spl2_279 ),
inference(constrained_superposition,[],[f9825,f322]) ).
thf(f9977,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_18
| spl2_279 ),
inference(trivial_inequality_removal,[],[f9973]) ).
thf(f9981,definition,
( spl2_290
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_290])],[avatar_definition]) ).
thf(f9982,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_290 ),
inference(avatar_component_clause,[],[f9981]) ).
thf(f9984,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_18
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f9977,f40]) ).
thf(f9990,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| spl2_81
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f9984,f4981]) ).
thf(f9991,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_280 ),
inference(avatar_component_clause,[],[f9828]) ).
thf(f9992,plain,
( spl2_280
| spl2_285
| ~ spl2_18
| spl2_81
| spl2_279 ),
inference(avatar_split_clause,[],[f9990,f9824,f2976,f321,f9873,f9828]) ).
thf(f9995,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_280 ),
inference(constrained_superposition,[],[f146,f9991]) ).
thf(f10000,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f9995]) ).
thf(f10003,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_11
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f10000,f216]) ).
thf(f10005,definition,
( spl2_292
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).
thf(f10006,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_292 ),
inference(avatar_component_clause,[],[f10005]) ).
thf(f10008,definition,
( spl2_293
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_293])],[avatar_definition]) ).
thf(f10009,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_293 ),
inference(avatar_component_clause,[],[f10008]) ).
thf(f10011,plain,
( spl2_292
| ~ spl2_10
| ~ spl2_11
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f10003,f9828,f145,f142,f10005]) ).
thf(f10022,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f30,f10006]) ).
thf(f10025,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f10022]) ).
thf(f10034,definition,
( spl2_294
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_294])],[avatar_definition]) ).
thf(f10035,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_294 ),
inference(avatar_component_clause,[],[f10034]) ).
thf(f10037,definition,
( spl2_295
<=> ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_295])],[avatar_definition]) ).
thf(f10038,plain,
( ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ~ spl2_295 ),
inference(avatar_component_clause,[],[f10037]) ).
thf(f10039,plain,
( spl2_294
| spl2_295
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f10025,f10005,f10037,f10034]) ).
thf(f10045,plain,
( ( $true != $true )
| ~ spl2_292
| ~ spl2_295 ),
inference(constrained_superposition,[],[f10038,f10006]) ).
thf(f10048,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_170
| ~ spl2_295 ),
inference(constrained_superposition,[],[f10038,f6196]) ).
thf(f10055,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_170
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f10048]) ).
thf(f10056,plain,
( $false
| ~ spl2_292
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f10045]) ).
thf(f10057,plain,
( ~ spl2_292
| ~ spl2_295 ),
inference(avatar_contradiction_clause,[],[f10056]) ).
thf(f10060,plain,
( spl2_148
| ~ spl2_170
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f10055,f10037,f5345,f4468]) ).
thf(f10064,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_105
| ~ spl2_287 ),
inference(constrained_superposition,[],[f3188,f9881]) ).
thf(f10069,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_3
| ~ spl2_287 ),
inference(constrained_superposition,[],[f83,f9881]) ).
thf(f10075,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f164,f9881]) ).
thf(f10081,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_105
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f10064]) ).
thf(f10082,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f10075]) ).
thf(f10085,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_3
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f10069]) ).
thf(f10097,plain,
( $false
| ~ spl2_105
| ~ spl2_287
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f10081,f10006]) ).
thf(f10098,plain,
( ~ spl2_105
| ~ spl2_287
| ~ spl2_292 ),
inference(avatar_contradiction_clause,[],[f10097]) ).
thf(f10099,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f10082,f40]) ).
thf(f10104,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_3
| ~ spl2_287
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f10085,f10006]) ).
thf(f10108,definition,
( spl2_298
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_298])],[avatar_definition]) ).
thf(f10109,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_298 ),
inference(avatar_component_clause,[],[f10108]) ).
thf(f10113,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| spl2_81
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f10099,f4981]) ).
thf(f10114,plain,
( $false
| ~ spl2_3
| spl2_104
| ~ spl2_287
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f10104,f5750]) ).
thf(f10115,plain,
( ~ spl2_3
| spl2_104
| ~ spl2_287
| ~ spl2_292 ),
inference(avatar_contradiction_clause,[],[f10114]) ).
thf(f10119,definition,
( spl2_299
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_299])],[avatar_definition]) ).
thf(f10120,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| spl2_299 ),
inference(avatar_component_clause,[],[f10119]) ).
thf(f10125,definition,
( spl2_300
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_300])],[avatar_definition]) ).
thf(f10126,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_300 ),
inference(avatar_component_clause,[],[f10125]) ).
thf(f10127,plain,
( spl2_124
| spl2_300
| spl2_81
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f10113,f9880,f2976,f10125,f3703]) ).
thf(f10150,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_213
| ~ spl2_275 ),
inference(constrained_superposition,[],[f6516,f9786]) ).
thf(f10151,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_52
| ~ spl2_275 ),
inference(constrained_superposition,[],[f2023,f9786]) ).
thf(f10155,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_3
| ~ spl2_275 ),
inference(constrained_superposition,[],[f83,f9786]) ).
thf(f10166,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_52
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f10151]) ).
thf(f10175,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f10155]) ).
thf(f10182,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_213
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f10150]) ).
thf(f10187,definition,
( spl2_302
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).
thf(f10188,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_302 ),
inference(avatar_component_clause,[],[f10187]) ).
thf(f10190,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| spl2_183
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f10175,f5652]) ).
thf(f10203,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_292 ),
inference(avatar_component_clause,[],[f10005]) ).
thf(f10205,plain,
( ~ spl2_292
| ~ spl2_3
| spl2_183
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f10190,f9785,f5651,f82,f10005]) ).
thf(f10209,plain,
( ~ spl2_292
| ~ spl2_213
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f10182,f9785,f6515,f10005]) ).
thf(f10212,plain,
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_280 ),
inference(constrained_superposition,[],[f9829,f50]) ).
thf(f10215,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_280 ),
inference(trivial_inequality_removal,[],[f10212]) ).
thf(f10225,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_3
| spl2_280 ),
inference(constrained_superposition,[],[f83,f10215]) ).
thf(f10231,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true ) )
| spl2_280 ),
inference(constrained_superposition,[],[f30,f10215]) ).
thf(f10233,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_3
| spl2_280 ),
inference(trivial_inequality_removal,[],[f10225]) ).
thf(f10241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| spl2_280 ),
inference(trivial_inequality_removal,[],[f10231]) ).
thf(f10248,definition,
( spl2_305
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_305])],[avatar_definition]) ).
thf(f10249,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_305 ),
inference(avatar_component_clause,[],[f10248]) ).
thf(f10250,plain,
( spl2_13
| spl2_305
| spl2_280 ),
inference(avatar_split_clause,[],[f10241,f9828,f10248,f169]) ).
thf(f10254,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_170
| spl2_292 ),
inference(constrained_superposition,[],[f10203,f6196]) ).
thf(f10255,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_292 ),
inference(constrained_superposition,[],[f10203,f51]) ).
thf(f10257,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_292 ),
inference(trivial_inequality_removal,[],[f10255]) ).
thf(f10260,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_170
| spl2_292 ),
inference(trivial_inequality_removal,[],[f10254]) ).
thf(f10262,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_292 ),
inference(forward_subsumption_resolution,[],[f10257,f40]) ).
thf(f10263,plain,
( spl2_148
| ~ spl2_170
| spl2_292 ),
inference(avatar_split_clause,[],[f10260,f10005,f5345,f4468]) ).
thf(f10265,definition,
( spl2_306
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_306])],[avatar_definition]) ).
thf(f10266,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f10265]) ).
thf(f10268,definition,
( spl2_307
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_307])],[avatar_definition]) ).
thf(f10269,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_307 ),
inference(avatar_component_clause,[],[f10268]) ).
thf(f10271,plain,
( spl2_307
| spl2_292 ),
inference(avatar_split_clause,[],[f10262,f10005,f10268]) ).
thf(f10274,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| spl2_176
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f7359,f6500]) ).
thf(f10275,plain,
( spl2_170
| ~ spl2_26
| ~ spl2_64
| ~ spl2_119
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f9624,f4276,f3588,f2105,f585,f5345]) ).
thf(f10281,definition,
( spl2_309
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_309])],[avatar_definition]) ).
thf(f10282,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_309 ),
inference(avatar_component_clause,[],[f10281]) ).
thf(f10283,plain,
( ~ spl2_309
| spl2_137
| ~ spl2_52
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f10166,f9785,f2022,f4075,f10281]) ).
thf(f10286,plain,
( $false
| ~ spl2_6
| ~ spl2_105
| ~ spl2_125 ),
inference(forward_subsumption_resolution,[],[f103,f7900]) ).
thf(f10287,plain,
( ~ spl2_6
| ~ spl2_105
| ~ spl2_125 ),
inference(avatar_contradiction_clause,[],[f10286]) ).
thf(f10288,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_105
| ~ spl2_125 ),
inference(forward_subsumption_resolution,[],[f7912,f40]) ).
thf(f10290,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| spl2_58
| ~ spl2_80 ),
inference(forward_subsumption_resolution,[],[f7266,f2045]) ).
thf(f10292,plain,
( ~ spl2_82
| spl2_10
| ~ spl2_12
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f7136,f3983,f166,f142,f2980]) ).
thf(f10298,plain,
( ~ spl2_135
| ~ spl2_26
| ~ spl2_64
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f7378,f2972,f2105,f585,f4019]) ).
thf(f10300,plain,
( spl2_101
| ~ spl2_3
| spl2_176
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f10274,f6499,f5542,f82,f3172]) ).
thf(f10303,plain,
( spl2_10
| ~ spl2_105
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f10288,f3784,f3187,f142]) ).
thf(f10305,plain,
( ~ spl2_135
| ~ spl2_11
| spl2_58
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f10290,f2972,f2044,f145,f4019]) ).
thf(f10318,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_6 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f10320,plain,
( spl2_115
| ~ spl2_53
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f7937,f7905,f2026,f3245]) ).
thf(f10325,plain,
( ~ spl2_65
| spl2_183
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f7514,f6364,f5651,f2271]) ).
thf(f10327,definition,
( spl2_314
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_314])],[avatar_definition]) ).
thf(f10328,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_314 ),
inference(avatar_component_clause,[],[f10327]) ).
thf(f10329,plain,
( ~ spl2_6
| spl2_314
| ~ spl2_3
| spl2_280 ),
inference(avatar_split_clause,[],[f10233,f9828,f82,f10327,f102]) ).
thf(f10331,definition,
( spl2_315
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_315])],[avatar_definition]) ).
thf(f10332,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_315 ),
inference(avatar_component_clause,[],[f10331]) ).
thf(f10333,plain,
( ~ spl2_115
| spl2_315
| ~ spl2_78
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f8258,f2972,f2965,f10331,f3245]) ).
thf(f10335,plain,
( ~ spl2_176
| ~ spl2_78
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f7506,f5656,f2965,f5542]) ).
thf(f10338,plain,
( spl2_4
| spl2_100
| spl2_101
| spl2_62 ),
inference(avatar_split_clause,[],[f4247,f2078,f3172,f3169,f85]) ).
thf(f10345,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_59
| ~ spl2_80
| spl2_227 ),
inference(forward_subsumption_resolution,[],[f9371,f9763]) ).
thf(f10351,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| spl2_59
| ~ spl2_80
| spl2_227 ),
inference(forward_subsumption_resolution,[],[f10345,f40]) ).
thf(f10353,definition,
( spl2_318
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_318])],[avatar_definition]) ).
thf(f10354,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_318 ),
inference(avatar_component_clause,[],[f10353]) ).
thf(f10356,plain,
( spl2_318
| spl2_81
| spl2_59
| ~ spl2_80
| spl2_227 ),
inference(avatar_split_clause,[],[f10351,f7305,f2972,f2048,f2976,f10353]) ).
thf(f10359,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f86,f51]) ).
thf(f10363,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f10359]) ).
thf(f10391,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_64 ),
inference(constrained_superposition,[],[f4692,f10363]) ).
thf(f10411,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_4
| ~ spl2_64 ),
inference(duplicate_literal_removal,[],[f10391]) ).
thf(f10412,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_4
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f10411]) ).
thf(f10420,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_4
| ~ spl2_64 ),
inference(forward_subsumption_resolution,[],[f10412,f40]) ).
thf(f10424,plain,
( spl2_71
| ~ spl2_4
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f10420,f2105,f85,f2671]) ).
thf(f10430,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_9
| ~ spl2_64 ),
inference(constrained_superposition,[],[f4692,f125]) ).
thf(f10449,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_9
| ~ spl2_64 ),
inference(duplicate_literal_removal,[],[f10430]) ).
thf(f10450,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_9
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f10449]) ).
thf(f10453,plain,
( spl2_71
| ~ spl2_9
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f10450,f2105,f124,f2671]) ).
thf(f10472,plain,
( spl2_161
| spl2_209 ),
inference(avatar_split_clause,[],[f7199,f6373,f4993]) ).
thf(f10546,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_212 ),
inference(constrained_superposition,[],[f214,f6500]) ).
thf(f10553,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f10546]) ).
thf(f10557,plain,
( ~ spl2_209
| ~ spl2_16
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f10553,f6499,f213,f6373]) ).
thf(f10558,plain,
( spl2_212
| spl2_149 ),
inference(avatar_split_clause,[],[f9524,f4471,f6499]) ).
thf(f10560,definition,
( spl2_320
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_320])],[avatar_definition]) ).
thf(f10561,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_320 ),
inference(avatar_component_clause,[],[f10560]) ).
thf(f10602,definition,
( spl2_321
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_321])],[avatar_definition]) ).
thf(f10603,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_321 ),
inference(avatar_component_clause,[],[f10602]) ).
thf(f10604,plain,
( spl2_321
| spl2_128
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f8470,f2965,f3794,f10602]) ).
thf(f10613,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_128
| ~ spl2_213 ),
inference(constrained_superposition,[],[f6516,f3795]) ).
thf(f10623,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_128
| ~ spl2_213 ),
inference(trivial_inequality_removal,[],[f10613]) ).
thf(f10642,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_115 ),
inference(constrained_superposition,[],[f7865,f64]) ).
thf(f10643,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_59
| spl2_115 ),
inference(constrained_superposition,[],[f7865,f5071]) ).
thf(f10648,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_115 ),
inference(trivial_inequality_removal,[],[f10642]) ).
thf(f10653,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_59
| spl2_115 ),
inference(trivial_inequality_removal,[],[f10643]) ).
thf(f10654,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_115 ),
inference(forward_subsumption_resolution,[],[f10648,f40]) ).
thf(f10666,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| spl2_115 ),
inference(constrained_superposition,[],[f164,f10654]) ).
thf(f10679,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_115 ),
inference(trivial_inequality_removal,[],[f10666]) ).
thf(f10707,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_299 ),
inference(constrained_superposition,[],[f10120,f49]) ).
thf(f10709,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_299 ),
inference(trivial_inequality_removal,[],[f10707]) ).
thf(f10711,plain,
( spl2_300
| spl2_299 ),
inference(avatar_split_clause,[],[f10709,f10119,f10125]) ).
thf(f10713,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_119
| ~ spl2_300 ),
inference(constrained_superposition,[],[f5057,f10126]) ).
thf(f10719,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_119
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f10713]) ).
thf(f10721,definition,
( spl2_323
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_323])],[avatar_definition]) ).
thf(f10722,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_323 ),
inference(avatar_component_clause,[],[f10721]) ).
thf(f10724,plain,
( spl2_292
| ~ spl2_119
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f10719,f10125,f3588,f10005]) ).
thf(f10727,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_137 ),
inference(constrained_superposition,[],[f146,f4076]) ).
thf(f10730,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f10727]) ).
thf(f10741,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_176 ),
inference(constrained_superposition,[],[f146,f7335]) ).
thf(f10749,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f10741]) ).
thf(f10798,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_100 ),
inference(constrained_superposition,[],[f3170,f62]) ).
thf(f10803,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f10798]) ).
thf(f10805,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_81 ),
inference(constrained_superposition,[],[f100,f2977]) ).
thf(f10809,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f10805]) ).
thf(f10818,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_81
| ~ spl2_104 ),
inference(constrained_superposition,[],[f10809,f3185]) ).
thf(f10824,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_81
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f10818]) ).
thf(f10833,plain,
( $false
| ~ spl2_5
| ~ spl2_81
| ~ spl2_104
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f10824,f4160]) ).
thf(f10834,plain,
( ~ spl2_5
| ~ spl2_81
| ~ spl2_104
| ~ spl2_120 ),
inference(avatar_contradiction_clause,[],[f10833]) ).
thf(f10846,plain,
( spl2_58
| spl2_146
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f7270,f2972,f4369,f2044]) ).
thf(f10865,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| spl2_59
| spl2_115 ),
inference(forward_subsumption_resolution,[],[f10679,f4970]) ).
thf(f10866,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_59
| spl2_115 ),
inference(forward_subsumption_resolution,[],[f10653,f40]) ).
thf(f10868,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| spl2_59
| spl2_115 ),
inference(forward_subsumption_resolution,[],[f10865,f40]) ).
thf(f10869,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_59
| spl2_115
| spl2_227 ),
inference(forward_subsumption_resolution,[],[f10866,f9763]) ).
thf(f10870,plain,
( spl2_124
| spl2_81
| spl2_59
| spl2_115 ),
inference(avatar_split_clause,[],[f10868,f3245,f2048,f2976,f3703]) ).
thf(f10871,plain,
( spl2_81
| spl2_59
| spl2_115
| spl2_227 ),
inference(avatar_split_clause,[],[f10869,f7305,f3245,f2048,f2976]) ).
thf(f10873,plain,
( spl2_101
| ~ spl2_8
| ~ spl2_100 ),
inference(avatar_split_clause,[],[f10803,f3169,f121,f3172]) ).
thf(f10883,plain,
( ~ spl2_58
| spl2_115
| ~ spl2_105 ),
inference(avatar_split_clause,[],[f7405,f3187,f3245,f2044]) ).
thf(f10894,plain,
( ( $true != $true )
| ~ spl2_85
| ~ spl2_133 ),
inference(constrained_superposition,[],[f3099,f3984]) ).
thf(f10903,plain,
( $false
| ~ spl2_85
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f10894]) ).
thf(f10904,plain,
( ~ spl2_85
| ~ spl2_133 ),
inference(avatar_contradiction_clause,[],[f10903]) ).
thf(f10907,plain,
( ~ spl2_6
| ~ spl2_128
| ~ spl2_213 ),
inference(avatar_split_clause,[],[f10623,f6515,f3794,f102]) ).
thf(f10911,plain,
( ~ spl2_149
| spl2_58
| ~ spl2_11
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f10749,f5542,f145,f2044,f4471]) ).
thf(f10923,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_64
| ~ spl2_137 ),
inference(forward_subsumption_resolution,[],[f10730,f2106]) ).
thf(f10927,plain,
( spl2_212
| ~ spl2_11
| ~ spl2_64
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f10923,f4075,f2105,f145,f6499]) ).
thf(f10929,definition,
( spl2_334
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_334])],[avatar_definition]) ).
thf(f10930,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_334 ),
inference(avatar_component_clause,[],[f10929]) ).
thf(f10967,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f2924,f62]) ).
thf(f10970,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f10967]) ).
thf(f10971,plain,
( spl2_101
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f10970,f2923,f3172]) ).
thf(f10972,plain,
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| spl2_58 ),
inference(constrained_superposition,[],[f2045,f202]) ).
thf(f10975,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| spl2_58 ),
inference(trivial_inequality_removal,[],[f10972]) ).
thf(f10978,plain,
( spl2_60
| ~ spl2_15
| spl2_58 ),
inference(avatar_split_clause,[],[f10975,f2044,f201,f2071]) ).
thf(f10980,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_81 ),
inference(constrained_superposition,[],[f100,f2977]) ).
thf(f10988,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f10980]) ).
thf(f10999,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_101
| ~ spl2_164 ),
inference(constrained_superposition,[],[f5654,f5075]) ).
thf(f11002,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_101
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f10999]) ).
thf(f11017,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f214,f28]) ).
thf(f11024,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f11017]) ).
thf(f11084,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_80
| ~ spl2_115 ),
inference(constrained_superposition,[],[f7272,f3246]) ).
thf(f11088,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_80
| ~ spl2_115 ),
inference(duplicate_literal_removal,[],[f11084]) ).
thf(f11089,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_80
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f11088]) ).
thf(f11093,plain,
( spl2_318
| ~ spl2_80
| ~ spl2_115 ),
inference(avatar_split_clause,[],[f11089,f3245,f2972,f10353]) ).
thf(f11112,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_280 ),
inference(constrained_superposition,[],[f9829,f50]) ).
thf(f11117,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_280 ),
inference(trivial_inequality_removal,[],[f11112]) ).
thf(f11120,plain,
( spl2_323
| spl2_280 ),
inference(avatar_split_clause,[],[f11117,f9828,f10721]) ).
thf(f11141,definition,
( spl2_335
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_335])],[avatar_definition]) ).
thf(f11142,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_335 ),
inference(avatar_component_clause,[],[f11141]) ).
thf(f11143,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_60 ),
inference(avatar_component_clause,[],[f2071]) ).
thf(f11153,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_119
| ~ spl2_307 ),
inference(constrained_superposition,[],[f3589,f10269]) ).
thf(f11156,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_119
| ~ spl2_307 ),
inference(trivial_inequality_removal,[],[f11153]) ).
thf(f11202,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_76
| ~ spl2_213 ),
inference(constrained_superposition,[],[f6516,f2957]) ).
thf(f11216,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_76
| ~ spl2_213 ),
inference(trivial_inequality_removal,[],[f11202]) ).
thf(f11222,plain,
( $false
| ~ spl2_76
| ~ spl2_133
| ~ spl2_213 ),
inference(forward_subsumption_resolution,[],[f11216,f3984]) ).
thf(f11223,plain,
( ~ spl2_76
| ~ spl2_133
| ~ spl2_213 ),
inference(avatar_contradiction_clause,[],[f11222]) ).
thf(f11274,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_242 ),
inference(constrained_superposition,[],[f8024,f454]) ).
thf(f11276,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f11274]) ).
thf(f11279,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f11024,f28]) ).
thf(f11282,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f11279]) ).
thf(f11283,plain,
( spl2_162
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f11282,f213,f4997]) ).
thf(f11333,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_275 ),
inference(constrained_superposition,[],[f57,f9786]) ).
thf(f11334,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_275 ),
inference(constrained_superposition,[],[f164,f9786]) ).
thf(f11340,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f11333]) ).
thf(f11345,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f11334]) ).
thf(f11349,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true ) )
| spl2_161
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f11340,f4994]) ).
thf(f11351,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f11345,f40]) ).
thf(f11354,plain,
( ~ spl2_299
| spl2_121
| spl2_161
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f11349,f9785,f4993,f3693,f10119]) ).
thf(f11355,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_161
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f11351,f4994]) ).
thf(f11356,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_119
| spl2_161
| ~ spl2_275
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f11355,f11156]) ).
thf(f11357,plain,
( spl2_121
| ~ spl2_119
| spl2_161
| ~ spl2_275
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f11356,f10268,f9785,f4993,f3588,f3693]) ).
thf(f11390,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_137
| ~ spl2_174 ),
inference(constrained_superposition,[],[f5533,f4076]) ).
thf(f11396,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_137
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f11390]) ).
thf(f11404,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_136
| ~ spl2_137
| ~ spl2_174 ),
inference(forward_subsumption_resolution,[],[f11396,f4048]) ).
thf(f11409,plain,
( $false
| ~ spl2_136
| ~ spl2_137
| ~ spl2_174
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f11404,f6606]) ).
thf(f11410,plain,
( ~ spl2_136
| ~ spl2_137
| ~ spl2_174
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f11409]) ).
thf(f11420,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_315 ),
inference(constrained_superposition,[],[f10332,f50]) ).
thf(f11421,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_137
| ~ spl2_315 ),
inference(constrained_superposition,[],[f10332,f4076]) ).
thf(f11426,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_59
| ~ spl2_315 ),
inference(constrained_superposition,[],[f10332,f5071]) ).
thf(f11431,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_137
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f11421]) ).
thf(f11436,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f11420]) ).
thf(f11437,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_59
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f11426]) ).
thf(f11443,plain,
( $false
| ~ spl2_115
| ~ spl2_137
| ~ spl2_315 ),
inference(forward_subsumption_resolution,[],[f11431,f3246]) ).
thf(f11444,plain,
( ~ spl2_115
| ~ spl2_137
| ~ spl2_315 ),
inference(avatar_contradiction_clause,[],[f11443]) ).
thf(f11447,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_114
| ~ spl2_315 ),
inference(forward_subsumption_resolution,[],[f11436,f3243]) ).
thf(f11448,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_59
| spl2_161
| ~ spl2_315 ),
inference(forward_subsumption_resolution,[],[f11437,f4994]) ).
thf(f11449,plain,
( spl2_128
| ~ spl2_114
| ~ spl2_315 ),
inference(avatar_split_clause,[],[f11447,f10331,f3242,f3794]) ).
thf(f11450,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_59
| spl2_161
| ~ spl2_315 ),
inference(forward_subsumption_resolution,[],[f11448,f40]) ).
thf(f11451,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_59
| ~ spl2_115
| spl2_161
| ~ spl2_315 ),
inference(forward_subsumption_resolution,[],[f11450,f3246]) ).
thf(f11452,plain,
( spl2_179
| spl2_59
| ~ spl2_115
| spl2_161
| ~ spl2_315 ),
inference(avatar_split_clause,[],[f11451,f10331,f4993,f3245,f2048,f5577]) ).
thf(f11522,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_302
| ~ spl2_323 ),
inference(constrained_superposition,[],[f10188,f10722]) ).
thf(f11527,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_302
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f11522]) ).
thf(f11528,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_302
| ~ spl2_323 ),
inference(constrained_superposition,[],[f11527,f28]) ).
thf(f11529,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_302
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f11528]) ).
thf(f11530,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_302
| ~ spl2_323 ),
inference(forward_subsumption_resolution,[],[f11529,f40]) ).
thf(f11531,plain,
( spl2_136
| ~ spl2_302
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f11530,f10721,f10187,f4047]) ).
thf(f11579,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_71
| ~ spl2_88 ),
inference(constrained_superposition,[],[f2672,f3118]) ).
thf(f11580,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_71 ),
inference(constrained_superposition,[],[f2672,f50]) ).
thf(f11589,plain,
( ! [X0: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f11580]) ).
thf(f11591,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_71
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f11579]) ).
thf(f11597,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_60
| ~ spl2_71 ),
inference(forward_subsumption_resolution,[],[f11589,f11143]) ).
thf(f11598,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_71
| ~ spl2_88
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f11591,f4160]) ).
thf(f11600,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_60
| ~ spl2_71
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f11597,f4160]) ).
thf(f11601,plain,
( spl2_24
| ~ spl2_71
| ~ spl2_88
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f11598,f3591,f3117,f2671,f504]) ).
thf(f11602,plain,
( spl2_24
| spl2_60
| ~ spl2_71
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f11600,f3591,f2671,f2071,f504]) ).
thf(f11650,definition,
( spl2_338
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_338])],[avatar_definition]) ).
thf(f11651,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_338 ),
inference(avatar_component_clause,[],[f11650]) ).
thf(f11653,definition,
( spl2_339
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_339])],[avatar_definition]) ).
thf(f11654,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_339 ),
inference(avatar_component_clause,[],[f11653]) ).
thf(f11694,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_137
| ~ spl2_334 ),
inference(constrained_superposition,[],[f10930,f4076]) ).
thf(f11695,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_274
| ~ spl2_334 ),
inference(constrained_superposition,[],[f10930,f9783]) ).
thf(f11704,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_137
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f11694]) ).
thf(f11707,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_274
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f11695]) ).
thf(f11714,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_64
| ~ spl2_137
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f11704,f2106]) ).
thf(f11717,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_274
| ~ spl2_307
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f11707,f10269]) ).
thf(f11719,plain,
( spl2_175
| ~ spl2_64
| ~ spl2_137
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f11714,f10929,f4075,f2105,f5538]) ).
thf(f11736,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_137
| ~ spl2_175 ),
inference(constrained_superposition,[],[f5539,f4076]) ).
thf(f11737,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_175
| ~ spl2_335 ),
inference(constrained_superposition,[],[f5539,f11142]) ).
thf(f11741,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_175
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f11737]) ).
thf(f11744,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_137
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f11736]) ).
thf(f11752,plain,
( $false
| ~ spl2_175
| ~ spl2_314
| ~ spl2_335 ),
inference(forward_subsumption_resolution,[],[f11741,f10328]) ).
thf(f11753,plain,
( ~ spl2_175
| ~ spl2_314
| ~ spl2_335 ),
inference(avatar_contradiction_clause,[],[f11752]) ).
thf(f11754,plain,
( $false
| ~ spl2_137
| ~ spl2_175
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f11744,f6606]) ).
thf(f11755,plain,
( ~ spl2_137
| ~ spl2_175
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f11754]) ).
thf(f11762,plain,
( spl2_137
| ~ spl2_53
| ~ spl2_242 ),
inference(avatar_split_clause,[],[f11276,f8023,f2026,f4075]) ).
thf(f11780,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_274
| ~ spl2_307
| ~ spl2_334 ),
inference(constrained_superposition,[],[f11717,f9783]) ).
thf(f11785,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_274
| ~ spl2_307
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f11780]) ).
thf(f11796,plain,
( $false
| ~ spl2_183
| ~ spl2_274
| ~ spl2_307
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f11785,f6606]) ).
thf(f11797,plain,
( ~ spl2_183
| ~ spl2_274
| ~ spl2_307
| ~ spl2_334 ),
inference(avatar_contradiction_clause,[],[f11796]) ).
thf(f11804,definition,
( spl2_347
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f11805,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f11804]) ).
thf(f11814,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_300 ),
inference(constrained_superposition,[],[f100,f10126]) ).
thf(f11817,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f11814]) ).
thf(f11844,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_339 ),
inference(avatar_component_clause,[],[f11653]) ).
thf(f11862,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_300
| ~ spl2_314 ),
inference(constrained_superposition,[],[f11817,f10328]) ).
thf(f11876,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_300
| ~ spl2_314 ),
inference(trivial_inequality_removal,[],[f11862]) ).
thf(f11877,plain,
( $false
| ~ spl2_5
| ~ spl2_120
| ~ spl2_300
| ~ spl2_314 ),
inference(forward_subsumption_resolution,[],[f11876,f4160]) ).
thf(f11878,plain,
( ~ spl2_5
| ~ spl2_120
| ~ spl2_300
| ~ spl2_314 ),
inference(avatar_contradiction_clause,[],[f11877]) ).
thf(f11880,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_122
| ~ spl2_275 ),
inference(constrained_superposition,[],[f3697,f9786]) ).
thf(f11897,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_122
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f11880]) ).
thf(f11902,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_122
| ~ spl2_275 ),
inference(constrained_superposition,[],[f11897,f51]) ).
thf(f11904,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_122
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f11902]) ).
thf(f11906,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_338 ),
inference(avatar_component_clause,[],[f11650]) ).
thf(f11907,plain,
( spl2_338
| spl2_179
| ~ spl2_122
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f11904,f9785,f3696,f5577,f11650]) ).
thf(f11909,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_81
| ~ spl2_338 ),
inference(constrained_superposition,[],[f10988,f11906]) ).
thf(f11917,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_81
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f11909]) ).
thf(f11919,plain,
( $false
| ~ spl2_5
| ~ spl2_81
| ~ spl2_300
| ~ spl2_338 ),
inference(forward_subsumption_resolution,[],[f11917,f10126]) ).
thf(f11920,plain,
( ~ spl2_5
| ~ spl2_81
| ~ spl2_300
| ~ spl2_338 ),
inference(avatar_contradiction_clause,[],[f11919]) ).
thf(f11923,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122
| ~ spl2_179 ),
inference(constrained_superposition,[],[f3697,f5578]) ).
thf(f11926,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_179
| ~ spl2_183 ),
inference(constrained_superposition,[],[f6606,f5578]) ).
thf(f11927,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_176
| ~ spl2_179 ),
inference(constrained_superposition,[],[f7335,f5578]) ).
thf(f11928,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_179
| ~ spl2_275 ),
inference(constrained_superposition,[],[f9786,f5578]) ).
thf(f11941,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_52
| ~ spl2_179 ),
inference(constrained_superposition,[],[f2023,f5578]) ).
thf(f11975,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_52
| ~ spl2_179 ),
inference(duplicate_literal_removal,[],[f11941]) ).
thf(f11978,plain,
( spl2_132
| ~ spl2_122
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f11923,f5577,f3696,f3966]) ).
thf(f11979,plain,
( $false
| spl2_79
| ~ spl2_179
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f11928,f4073]) ).
thf(f11980,plain,
( spl2_79
| ~ spl2_179
| ~ spl2_275 ),
inference(avatar_contradiction_clause,[],[f11979]) ).
thf(f11983,plain,
( spl2_72
| spl2_74
| ~ spl2_52
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f11975,f5577,f2022,f2929,f2923]) ).
thf(f11985,plain,
( $false
| spl2_101
| ~ spl2_179
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f11926,f5654]) ).
thf(f11986,plain,
( spl2_101
| ~ spl2_179
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f11985]) ).
thf(f11987,plain,
( spl2_74
| ~ spl2_176
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f11927,f5577,f5542,f2929]) ).
thf(f12029,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_101
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f11002,f40]) ).
thf(f12030,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_62
| spl2_101
| ~ spl2_164 ),
inference(forward_subsumption_resolution,[],[f12029,f2934]) ).
thf(f12031,plain,
( spl2_120
| spl2_62
| spl2_101
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f12030,f5074,f3172,f2078,f3591]) ).
thf(f12066,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_59
| ~ spl2_119 ),
inference(constrained_superposition,[],[f5057,f2049]) ).
thf(f12073,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_59
| ~ spl2_119 ),
inference(trivial_inequality_removal,[],[f12066]) ).
thf(f12076,plain,
( spl2_58
| ~ spl2_59
| ~ spl2_119 ),
inference(avatar_split_clause,[],[f12073,f3588,f2048,f2044]) ).
thf(f12100,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_65 ),
inference(constrained_superposition,[],[f2272,f28]) ).
thf(f12101,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_65 ),
inference(trivial_inequality_removal,[],[f12100]) ).
thf(f12104,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_62
| spl2_65 ),
inference(forward_subsumption_resolution,[],[f12101,f2934]) ).
thf(f12106,plain,
( spl2_101
| spl2_62
| spl2_65 ),
inference(avatar_split_clause,[],[f12104,f2271,f2078,f3172]) ).
thf(f12197,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_115
| ~ spl2_175 ),
inference(constrained_superposition,[],[f5539,f3246]) ).
thf(f12202,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_115
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f12197]) ).
thf(f12206,plain,
( $false
| ~ spl2_104
| ~ spl2_115
| ~ spl2_175 ),
inference(forward_subsumption_resolution,[],[f12202,f3185]) ).
thf(f12207,plain,
( ~ spl2_104
| ~ spl2_115
| ~ spl2_175 ),
inference(avatar_contradiction_clause,[],[f12206]) ).
thf(f12285,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_295 ),
inference(constrained_superposition,[],[f10038,f49]) ).
thf(f12288,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f12285]) ).
thf(f12291,plain,
( spl2_300
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f12288,f10037,f10125]) ).
thf(f12388,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_242 ),
inference(constrained_superposition,[],[f8024,f62]) ).
thf(f12394,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f12388]) ).
thf(f12396,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_183
| ~ spl2_242 ),
inference(forward_subsumption_resolution,[],[f12394,f5652]) ).
thf(f12397,plain,
( ~ spl2_1
| spl2_183
| ~ spl2_242 ),
inference(avatar_split_clause,[],[f12396,f8023,f5651,f75]) ).
thf(f12504,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_80
| ~ spl2_227 ),
inference(constrained_superposition,[],[f2973,f7306]) ).
thf(f12509,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_115
| ~ spl2_227 ),
inference(constrained_superposition,[],[f3246,f7306]) ).
thf(f12515,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_161
| ~ spl2_227 ),
inference(constrained_superposition,[],[f4994,f7306]) ).
thf(f12529,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_227 ),
inference(constrained_superposition,[],[f454,f7306]) ).
thf(f12570,plain,
( spl2_74
| ~ spl2_80
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f12504,f7305,f2972,f2929]) ).
thf(f12576,plain,
( spl2_74
| ~ spl2_115
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f12509,f7305,f3245,f2929]) ).
thf(f12577,plain,
( $false
| ~ spl2_81
| spl2_161
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f12515,f2977]) ).
thf(f12578,plain,
( ~ spl2_81
| spl2_161
| ~ spl2_227 ),
inference(avatar_contradiction_clause,[],[f12577]) ).
thf(f12579,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_66
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f12529,f2276]) ).
thf(f12581,plain,
( spl2_74
| spl2_66
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f12579,f7305,f2275,f2929]) ).
thf(f12669,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_77
| ~ spl2_239 ),
inference(constrained_superposition,[],[f7906,f2963]) ).
thf(f12675,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f164,f2963]) ).
thf(f12683,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f12675]) ).
thf(f12685,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_77
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f12669]) ).
thf(f12692,plain,
( ~ spl2_209
| ~ spl2_77
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f12685,f7905,f2962,f6373]) ).
thf(f12699,definition,
( spl2_353
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
thf(f12700,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_353 ),
inference(avatar_component_clause,[],[f12699]) ).
thf(f12702,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_77 ),
inference(forward_subsumption_resolution,[],[f12683,f40]) ).
thf(f12706,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_77
| spl2_161 ),
inference(forward_subsumption_resolution,[],[f12702,f4994]) ).
thf(f12708,plain,
( spl2_81
| spl2_124
| ~ spl2_77
| spl2_161 ),
inference(avatar_split_clause,[],[f12706,f4993,f2962,f3703,f2976]) ).
thf(f12722,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_125 ),
inference(constrained_superposition,[],[f30,f3785]) ).
thf(f12723,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f12722]) ).
thf(f12731,plain,
( spl2_13
| spl2_239
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f12723,f3784,f7905,f169]) ).
thf(f12757,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_239 ),
inference(constrained_superposition,[],[f7906,f62]) ).
thf(f12766,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f12757]) ).
thf(f12770,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_76 ),
inference(constrained_superposition,[],[f57,f2957]) ).
thf(f12771,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_76 ),
inference(constrained_superposition,[],[f164,f2957]) ).
thf(f12783,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f12770]) ).
thf(f12784,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_76 ),
inference(trivial_inequality_removal,[],[f12771]) ).
thf(f12788,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_76
| spl2_161 ),
inference(forward_subsumption_resolution,[],[f12783,f4994]) ).
thf(f12789,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_76
| spl2_81 ),
inference(forward_subsumption_resolution,[],[f12784,f4981]) ).
thf(f12790,plain,
( ~ spl2_82
| spl2_121
| ~ spl2_76
| spl2_161 ),
inference(avatar_split_clause,[],[f12788,f4993,f2956,f3693,f2980]) ).
thf(f12791,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_76
| spl2_81
| spl2_161 ),
inference(forward_subsumption_resolution,[],[f12789,f4994]) ).
thf(f12792,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_76
| spl2_81
| spl2_161 ),
inference(forward_subsumption_resolution,[],[f12791,f40]) ).
thf(f12793,plain,
( spl2_121
| ~ spl2_76
| spl2_81
| spl2_161 ),
inference(avatar_split_clause,[],[f12792,f4993,f2976,f2956,f3693]) ).
thf(f13019,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_174
| ~ spl2_335 ),
inference(constrained_superposition,[],[f5533,f11142]) ).
thf(f13028,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_174
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f13019]) ).
thf(f13063,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_183
| ~ spl2_315 ),
inference(constrained_superposition,[],[f10332,f6606]) ).
thf(f13076,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_183
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f13063]) ).
thf(f13080,plain,
( $false
| ~ spl2_104
| ~ spl2_183
| ~ spl2_315 ),
inference(forward_subsumption_resolution,[],[f13076,f3185]) ).
thf(f13081,plain,
( ~ spl2_104
| ~ spl2_183
| ~ spl2_315 ),
inference(avatar_contradiction_clause,[],[f13080]) ).
thf(f13088,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_274
| ~ spl2_282 ),
inference(constrained_superposition,[],[f9836,f9783]) ).
thf(f13095,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_274
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f13088]) ).
thf(f13104,plain,
( $false
| ~ spl2_75
| ~ spl2_274
| ~ spl2_282 ),
inference(forward_subsumption_resolution,[],[f13095,f2954]) ).
thf(f13105,plain,
( ~ spl2_75
| ~ spl2_274
| ~ spl2_282 ),
inference(avatar_contradiction_clause,[],[f13104]) ).
thf(f13112,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_174
| ~ spl2_314
| ~ spl2_335 ),
inference(forward_subsumption_resolution,[],[f13028,f10328]) ).
thf(f13113,plain,
( ~ spl2_280
| ~ spl2_174
| ~ spl2_314
| ~ spl2_335 ),
inference(avatar_split_clause,[],[f13112,f11141,f10327,f5532,f9828]) ).
thf(f13147,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 ) )
| ~ spl2_290 ),
inference(constrained_superposition,[],[f164,f9982]) ).
thf(f13157,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f13147]) ).
thf(f13170,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| spl2_81
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f13157,f4981]) ).
thf(f13173,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| spl2_81
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f13170,f40]) ).
thf(f13175,plain,
( spl2_300
| spl2_295
| spl2_81
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f13173,f9981,f2976,f10037,f10125]) ).
thf(f13256,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_298 ),
inference(constrained_superposition,[],[f10109,f454]) ).
thf(f13258,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_298 ),
inference(trivial_inequality_removal,[],[f13256]) ).
thf(f13288,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_339 ),
inference(constrained_superposition,[],[f11654,f64]) ).
thf(f13295,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_339 ),
inference(trivial_inequality_removal,[],[f13288]) ).
thf(f13299,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f13295,f40]) ).
thf(f13302,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_100
| spl2_339 ),
inference(constrained_superposition,[],[f3170,f13299]) ).
thf(f13318,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_100
| spl2_339 ),
inference(trivial_inequality_removal,[],[f13302]) ).
thf(f13326,definition,
( spl2_358
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_358])],[avatar_definition]) ).
thf(f13327,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_358 ),
inference(avatar_component_clause,[],[f13326]) ).
thf(f13329,plain,
( $false
| ~ spl2_100
| ~ spl2_292
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f13318,f10006]) ).
thf(f13330,plain,
( ~ spl2_100
| ~ spl2_292
| spl2_339 ),
inference(avatar_contradiction_clause,[],[f13329]) ).
thf(f13364,plain,
( spl2_104
| ~ spl2_1
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f12766,f7905,f75,f3184]) ).
thf(f13372,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_120 ),
inference(constrained_superposition,[],[f61,f4160]) ).
thf(f13374,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_120 ),
inference(duplicate_literal_removal,[],[f13372]) ).
thf(f13375,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_120 ),
inference(trivial_inequality_removal,[],[f13374]) ).
thf(f13377,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_6
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f13375,f10318]) ).
thf(f13378,plain,
( spl2_5
| spl2_6
| ~ spl2_120 ),
inference(avatar_split_clause,[],[f13377,f3591,f102,f99]) ).
thf(f13379,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_227 ),
inference(extensionality_resolution,[],[f64,f9763]) ).
thf(f13380,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_227 ),
inference(extensionality_resolution,[],[f64,f9763]) ).
thf(f13383,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_227 ),
inference(extensionality_resolution,[],[f51,f9763]) ).
thf(f13387,plain,
( spl2_275
| spl2_274
| spl2_227 ),
inference(avatar_split_clause,[],[f13379,f7305,f9782,f9785]) ).
thf(f13388,plain,
( spl2_276
| spl2_277
| spl2_227 ),
inference(avatar_split_clause,[],[f13380,f7305,f9792,f9789]) ).
thf(f13390,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f61,f2977]) ).
thf(f13392,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_81 ),
inference(duplicate_literal_removal,[],[f13390]) ).
thf(f13393,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f13392]) ).
thf(f13396,plain,
( spl2_5
| spl2_125
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f13393,f2976,f3784,f99]) ).
thf(f13488,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_18
| spl2_183 ),
inference(constrained_superposition,[],[f5652,f322]) ).
thf(f13492,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_18
| spl2_183 ),
inference(trivial_inequality_removal,[],[f13488]) ).
thf(f13529,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_5
| ~ spl2_59 ),
inference(constrained_superposition,[],[f100,f2049]) ).
thf(f13538,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f13529]) ).
thf(f13543,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_59
| ~ spl2_339 ),
inference(constrained_superposition,[],[f13538,f11844]) ).
thf(f13544,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_59
| ~ spl2_74 ),
inference(constrained_superposition,[],[f13538,f2930]) ).
thf(f13546,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_59
| ~ spl2_101 ),
inference(constrained_superposition,[],[f13538,f3173]) ).
thf(f13551,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_59
| ~ spl2_339 ),
inference(trivial_inequality_removal,[],[f13543]) ).
thf(f13554,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_59
| ~ spl2_101 ),
inference(trivial_inequality_removal,[],[f13546]) ).
thf(f13557,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_59
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f13544]) ).
thf(f13561,plain,
( $false
| ~ spl2_5
| ~ spl2_59
| ~ spl2_300
| ~ spl2_339 ),
inference(forward_subsumption_resolution,[],[f13551,f10126]) ).
thf(f13562,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_300
| ~ spl2_339 ),
inference(avatar_contradiction_clause,[],[f13561]) ).
thf(f13563,plain,
( $false
| ~ spl2_5
| ~ spl2_59
| ~ spl2_101
| ~ spl2_120 ),
inference(forward_subsumption_resolution,[],[f13554,f4160]) ).
thf(f13564,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_101
| ~ spl2_120 ),
inference(avatar_contradiction_clause,[],[f13563]) ).
thf(f13565,plain,
( $false
| ~ spl2_5
| ~ spl2_59
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f13557,f2049]) ).
thf(f13566,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_74 ),
inference(avatar_contradiction_clause,[],[f13565]) ).
thf(f13574,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_149
| ~ spl2_179 ),
inference(constrained_superposition,[],[f4472,f5578]) ).
thf(f13576,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_179
| spl2_183 ),
inference(constrained_superposition,[],[f5652,f5578]) ).
thf(f13583,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_179
| ~ spl2_300 ),
inference(constrained_superposition,[],[f10126,f5578]) ).
thf(f13623,plain,
( ~ spl2_101
| ~ spl2_179
| spl2_183 ),
inference(avatar_split_clause,[],[f13576,f5651,f5577,f3172]) ).
thf(f13625,plain,
( spl2_64
| ~ spl2_149
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f13574,f5577,f4471,f2105]) ).
thf(f13626,plain,
( $false
| spl2_81
| ~ spl2_179
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f13583,f4981]) ).
thf(f13627,plain,
( spl2_81
| ~ spl2_179
| ~ spl2_300 ),
inference(avatar_contradiction_clause,[],[f13626]) ).
thf(f13633,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_5
| ~ spl2_59 ),
inference(constrained_superposition,[],[f100,f2049]) ).
thf(f13640,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f13633]) ).
thf(f13722,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_18
| spl2_104 ),
inference(constrained_superposition,[],[f5750,f322]) ).
thf(f13726,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18
| spl2_104 ),
inference(trivial_inequality_removal,[],[f13722]) ).
thf(f13765,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_59
| ~ spl2_80 ),
inference(constrained_superposition,[],[f13640,f2973]) ).
thf(f13778,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_59
| ~ spl2_80 ),
inference(trivial_inequality_removal,[],[f13765]) ).
thf(f13781,plain,
( $false
| ~ spl2_5
| ~ spl2_59
| ~ spl2_80
| ~ spl2_81 ),
inference(forward_subsumption_resolution,[],[f13778,f2977]) ).
thf(f13782,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_80
| ~ spl2_81 ),
inference(avatar_contradiction_clause,[],[f13781]) ).
thf(f13783,plain,
( ( $true != $true )
| ~ spl2_13
| ~ spl2_128 ),
inference(constrained_superposition,[],[f170,f3795]) ).
thf(f13786,plain,
( $false
| ~ spl2_13
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f13783]) ).
thf(f13787,plain,
( ~ spl2_13
| ~ spl2_128 ),
inference(avatar_contradiction_clause,[],[f13786]) ).
thf(f13793,plain,
( $false
| ~ spl2_13
| ~ spl2_125 ),
inference(forward_subsumption_resolution,[],[f3785,f170]) ).
thf(f13794,plain,
( ~ spl2_13
| ~ spl2_125 ),
inference(avatar_contradiction_clause,[],[f13793]) ).
thf(f13795,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_18
| spl2_104 ),
inference(forward_subsumption_resolution,[],[f13726,f40]) ).
thf(f13796,plain,
( spl2_335
| ~ spl2_223
| ~ spl2_298 ),
inference(avatar_split_clause,[],[f13258,f10108,f6926,f11141]) ).
thf(f13797,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_18
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f13492,f40]) ).
thf(f13798,plain,
( spl2_114
| spl2_120
| spl2_118
| ~ spl2_18
| spl2_104 ),
inference(avatar_split_clause,[],[f13795,f3184,f321,f3553,f3591,f3242]) ).
thf(f13799,plain,
( spl2_136
| spl2_148
| spl2_120
| ~ spl2_18
| spl2_183 ),
inference(avatar_split_clause,[],[f13797,f5651,f321,f3591,f4468,f4047]) ).
thf(f13808,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_59 ),
inference(constrained_superposition,[],[f61,f2049]) ).
thf(f13812,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_59 ),
inference(duplicate_literal_removal,[],[f13808]) ).
thf(f13813,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f13812]) ).
thf(f13819,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_58 ),
inference(constrained_superposition,[],[f164,f3462]) ).
thf(f13824,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f13819]) ).
thf(f13864,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_38
| spl2_114 ),
inference(constrained_superposition,[],[f7864,f1646]) ).
thf(f13869,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| spl2_114 ),
inference(trivial_inequality_removal,[],[f13864]) ).
thf(f13873,plain,
( $false
| ~ spl2_38
| spl2_114 ),
inference(forward_subsumption_resolution,[],[f13869,f40]) ).
thf(f13874,plain,
( ~ spl2_38
| spl2_114 ),
inference(avatar_contradiction_clause,[],[f13873]) ).
thf(f13967,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_339 ),
inference(constrained_superposition,[],[f11654,f64]) ).
thf(f13972,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_339 ),
inference(trivial_inequality_removal,[],[f13967]) ).
thf(f13976,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f13972,f40]) ).
thf(f13985,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_339 ),
inference(constrained_superposition,[],[f30,f13976]) ).
thf(f13991,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) )
| spl2_339 ),
inference(trivial_inequality_removal,[],[f13985]) ).
thf(f13995,plain,
( spl2_295
| spl2_358
| spl2_339 ),
inference(avatar_split_clause,[],[f13991,f11653,f13326,f10037]) ).
thf(f14055,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f30,f9881]) ).
thf(f14060,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f14055]) ).
thf(f14089,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_213 ),
inference(constrained_superposition,[],[f6516,f454]) ).
thf(f14092,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_213 ),
inference(trivial_inequality_removal,[],[f14089]) ).
thf(f14094,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_58
| ~ spl2_213 ),
inference(forward_subsumption_resolution,[],[f14092,f3462]) ).
thf(f14095,plain,
( spl2_137
| ~ spl2_58
| ~ spl2_213 ),
inference(avatar_split_clause,[],[f14094,f6515,f2044,f4075]) ).
thf(f14214,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_78
| ~ spl2_177 ),
inference(constrained_superposition,[],[f5546,f2966]) ).
thf(f14223,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_78
| ~ spl2_177 ),
inference(trivial_inequality_removal,[],[f14214]) ).
thf(f14228,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_78
| ~ spl2_104
| ~ spl2_177 ),
inference(forward_subsumption_resolution,[],[f14223,f3185]) ).
thf(f14230,plain,
( $false
| ~ spl2_78
| ~ spl2_104
| ~ spl2_115
| ~ spl2_177 ),
inference(forward_subsumption_resolution,[],[f14228,f3246]) ).
thf(f14231,plain,
( ~ spl2_78
| ~ spl2_104
| ~ spl2_115
| ~ spl2_177 ),
inference(avatar_contradiction_clause,[],[f14230]) ).
thf(f14238,plain,
( spl2_295
| spl2_298
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f14060,f9880,f10108,f10037]) ).
thf(f14241,plain,
( spl2_60
| spl2_5
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f13813,f2048,f99,f2071]) ).
thf(f14254,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_60 ),
inference(constrained_superposition,[],[f30,f2072]) ).
thf(f14256,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f14254]) ).
thf(f14263,plain,
( spl2_145
| spl2_13
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f14256,f2071,f169,f4276]) ).
thf(f14296,plain,
( ( $true != $true )
| ~ spl2_287
| ~ spl2_295 ),
inference(constrained_superposition,[],[f10038,f9881]) ).
thf(f14302,plain,
( $false
| ~ spl2_287
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f14296]) ).
thf(f14303,plain,
( ~ spl2_287
| ~ spl2_295 ),
inference(avatar_contradiction_clause,[],[f14302]) ).
thf(f14305,plain,
( $false
| ~ spl2_275
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f9786,f10038]) ).
thf(f14306,plain,
( ~ spl2_275
| ~ spl2_295 ),
inference(avatar_contradiction_clause,[],[f14305]) ).
thf(f14332,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_145 ),
inference(constrained_superposition,[],[f4277,f62]) ).
thf(f14336,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f14332]) ).
thf(f14379,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f61,f5998]) ).
thf(f14381,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_161 ),
inference(duplicate_literal_removal,[],[f14379]) ).
thf(f14382,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f14381]) ).
thf(f14384,plain,
( spl2_128
| spl2_5
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f14382,f4993,f99,f3794]) ).
thf(f14393,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_59 ),
inference(constrained_superposition,[],[f100,f2049]) ).
thf(f14394,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_161 ),
inference(constrained_superposition,[],[f100,f5998]) ).
thf(f14398,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f14394]) ).
thf(f14399,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f14393]) ).
thf(f14626,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_353 ),
inference(constrained_superposition,[],[f12700,f50]) ).
thf(f14627,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_78
| ~ spl2_353 ),
inference(constrained_superposition,[],[f12700,f2966]) ).
thf(f14629,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_115
| ~ spl2_353 ),
inference(constrained_superposition,[],[f12700,f3246]) ).
thf(f14635,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f14626]) ).
thf(f14636,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_115
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f14629]) ).
thf(f14638,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_78
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f14627]) ).
thf(f14645,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_64 ),
inference(avatar_component_clause,[],[f2105]) ).
thf(f14646,plain,
( spl2_175
| ~ spl2_64
| ~ spl2_115
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f14636,f12699,f3245,f2105,f5538]) ).
thf(f14647,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_78
| ~ spl2_149
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f14638,f4472]) ).
thf(f14653,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_64
| ~ spl2_162 ),
inference(constrained_superposition,[],[f14645,f4998]) ).
thf(f14656,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_64
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f14653]) ).
thf(f14668,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_78
| ~ spl2_149
| ~ spl2_353 ),
inference(constrained_superposition,[],[f14647,f2966]) ).
thf(f14680,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_78
| ~ spl2_149
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f14668]) ).
thf(f14686,plain,
( $false
| ~ spl2_78
| ~ spl2_104
| ~ spl2_149
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f14680,f3185]) ).
thf(f14687,plain,
( ~ spl2_78
| ~ spl2_104
| ~ spl2_149
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f14686]) ).
thf(f14690,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_10
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f14635,f216]) ).
thf(f14692,definition,
( spl2_361
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_361])],[avatar_definition]) ).
thf(f14693,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_361 ),
inference(avatar_component_clause,[],[f14692]) ).
thf(f14701,plain,
( spl2_125
| spl2_24
| ~ spl2_10
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f14690,f12699,f142,f504,f3784]) ).
thf(f14783,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_115 ),
inference(constrained_superposition,[],[f7865,f64]) ).
thf(f14789,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_115 ),
inference(trivial_inequality_removal,[],[f14783]) ).
thf(f14792,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_115 ),
inference(forward_subsumption_resolution,[],[f14789,f40]) ).
thf(f14796,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_3
| spl2_115 ),
inference(constrained_superposition,[],[f83,f14792]) ).
thf(f14808,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| spl2_115 ),
inference(trivial_inequality_removal,[],[f14796]) ).
thf(f14814,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| spl2_104
| spl2_115 ),
inference(forward_subsumption_resolution,[],[f14808,f5750]) ).
thf(f14816,plain,
( $false
| ~ spl2_3
| ~ spl2_58
| spl2_104
| spl2_115 ),
inference(forward_subsumption_resolution,[],[f14814,f3462]) ).
thf(f14817,plain,
( ~ spl2_3
| ~ spl2_58
| spl2_104
| spl2_115 ),
inference(avatar_contradiction_clause,[],[f14816]) ).
thf(f14819,plain,
( spl2_78
| spl2_77
| spl2_227 ),
inference(avatar_split_clause,[],[f13383,f7305,f2962,f2965]) ).
thf(f14834,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_212 ),
inference(avatar_component_clause,[],[f6499]) ).
thf(f14875,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_137
| ~ spl2_161 ),
inference(constrained_superposition,[],[f14398,f4076]) ).
thf(f14880,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_137
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f14875]) ).
thf(f14884,plain,
( $false
| ~ spl2_5
| ~ spl2_59
| ~ spl2_137
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f14880,f2049]) ).
thf(f14885,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_137
| ~ spl2_161 ),
inference(avatar_contradiction_clause,[],[f14884]) ).
thf(f14939,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_59
| ~ spl2_176 ),
inference(constrained_superposition,[],[f14399,f7335]) ).
thf(f14945,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_59
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f14939]) ).
thf(f14947,plain,
( $false
| ~ spl2_5
| ~ spl2_59
| ~ spl2_161
| ~ spl2_176 ),
inference(forward_subsumption_resolution,[],[f14945,f5998]) ).
thf(f14948,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_161
| ~ spl2_176 ),
inference(avatar_contradiction_clause,[],[f14947]) ).
thf(f14956,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_125 ),
inference(constrained_superposition,[],[f30,f3785]) ).
thf(f14961,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f14956]) ).
thf(f14965,plain,
( spl2_13
| spl2_239
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f14961,f3784,f7905,f169]) ).
thf(f14989,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_176 ),
inference(constrained_superposition,[],[f5543,f64]) ).
thf(f14993,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_176 ),
inference(trivial_inequality_removal,[],[f14989]) ).
thf(f14997,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f14993,f40]) ).
thf(f15001,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_100
| spl2_176 ),
inference(constrained_superposition,[],[f3170,f14997]) ).
thf(f15013,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_100
| spl2_176 ),
inference(trivial_inequality_removal,[],[f15001]) ).
thf(f15064,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_339 ),
inference(constrained_superposition,[],[f11654,f64]) ).
thf(f15069,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_339 ),
inference(trivial_inequality_removal,[],[f15064]) ).
thf(f15072,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f15069,f40]) ).
thf(f15075,plain,
( $false
| ~ spl2_295
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f15072,f10038]) ).
thf(f15076,plain,
( ~ spl2_295
| spl2_339 ),
inference(avatar_contradiction_clause,[],[f15075]) ).
thf(f15098,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_104
| ~ spl2_184 ),
inference(constrained_superposition,[],[f5657,f3185]) ).
thf(f15105,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_104
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f15098]) ).
thf(f15111,plain,
( $false
| ~ spl2_101
| ~ spl2_104
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f15105,f3173]) ).
thf(f15112,plain,
( ~ spl2_101
| ~ spl2_104
| ~ spl2_184 ),
inference(avatar_contradiction_clause,[],[f15111]) ).
thf(f15117,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_305 ),
inference(constrained_superposition,[],[f10249,f62]) ).
thf(f15120,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f15117]) ).
thf(f15125,plain,
( ~ spl2_1
| spl2_314
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f15120,f10248,f10327,f75]) ).
thf(f15134,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_161
| ~ spl2_274 ),
inference(constrained_superposition,[],[f14398,f9783]) ).
thf(f15141,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_161
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f15134]) ).
thf(f15222,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_302 ),
inference(constrained_superposition,[],[f10188,f62]) ).
thf(f15223,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_302 ),
inference(constrained_superposition,[],[f10188,f454]) ).
thf(f15227,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f15222]) ).
thf(f15228,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f15223]) ).
thf(f15269,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_75
| ~ spl2_240 ),
inference(constrained_superposition,[],[f7996,f2954]) ).
thf(f15283,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_75
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f15269]) ).
thf(f15285,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_75
| ~ spl2_114
| ~ spl2_240 ),
inference(forward_subsumption_resolution,[],[f15283,f3243]) ).
thf(f15291,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_75
| ~ spl2_114
| ~ spl2_240 ),
inference(constrained_superposition,[],[f15285,f2954]) ).
thf(f15298,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_75
| ~ spl2_114
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f15291]) ).
thf(f15303,plain,
( $false
| ~ spl2_75
| ~ spl2_114
| ~ spl2_136
| ~ spl2_240 ),
inference(forward_subsumption_resolution,[],[f15298,f4048]) ).
thf(f15304,plain,
( ~ spl2_75
| ~ spl2_114
| ~ spl2_136
| ~ spl2_240 ),
inference(avatar_contradiction_clause,[],[f15303]) ).
thf(f15405,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_114
| ~ spl2_353 ),
inference(constrained_superposition,[],[f12700,f3243]) ).
thf(f15407,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_338
| ~ spl2_353 ),
inference(constrained_superposition,[],[f12700,f11906]) ).
thf(f15419,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_338
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f15407]) ).
thf(f15423,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_114
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f15405]) ).
thf(f15427,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_307
| ~ spl2_338
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f15419,f10269]) ).
thf(f15428,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_10
| ~ spl2_114
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f15423,f216]) ).
thf(f15429,plain,
( spl2_24
| ~ spl2_10
| ~ spl2_114
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f15428,f12699,f3242,f142,f504]) ).
thf(f15447,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_307
| ~ spl2_338
| ~ spl2_353 ),
inference(constrained_superposition,[],[f15427,f11906]) ).
thf(f15456,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_307
| ~ spl2_338
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f15447]) ).
thf(f15464,plain,
( $false
| ~ spl2_104
| ~ spl2_307
| ~ spl2_338
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f15456,f3185]) ).
thf(f15465,plain,
( ~ spl2_104
| ~ spl2_307
| ~ spl2_338
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f15464]) ).
thf(f15467,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_64
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f14656,f40]) ).
thf(f15469,plain,
( ~ spl2_212
| ~ spl2_100
| spl2_176 ),
inference(avatar_split_clause,[],[f15013,f5542,f3169,f6499]) ).
thf(f15473,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_307 ),
inference(avatar_component_clause,[],[f10268]) ).
thf(f15480,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f13824,f40]) ).
thf(f15481,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_62
| spl2_64
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f15467,f2934]) ).
thf(f15482,plain,
( spl2_120
| spl2_4
| spl2_59
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f15480,f2044,f2048,f85,f3591]) ).
thf(f15483,plain,
( spl2_59
| spl2_62
| spl2_64
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f15481,f4997,f2105,f2078,f2048]) ).
thf(f15625,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f62,f10266]) ).
thf(f15632,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_52
| ~ spl2_306 ),
inference(constrained_superposition,[],[f2023,f10266]) ).
thf(f15656,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_52
| ~ spl2_306 ),
inference(duplicate_literal_removal,[],[f15632]) ).
thf(f15659,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_52
| spl2_74
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f15656,f5536]) ).
thf(f15669,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_8
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f15625,f122]) ).
thf(f15684,plain,
( spl2_72
| ~ spl2_52
| spl2_74
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f15659,f10265,f2929,f2022,f2923]) ).
thf(f15688,plain,
( $false
| spl2_8
| spl2_21
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f15669,f343]) ).
thf(f15689,plain,
( spl2_8
| spl2_21
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f15688]) ).
thf(f15745,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_318
| ~ spl2_338 ),
inference(constrained_superposition,[],[f10354,f11906]) ).
thf(f15748,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_104
| ~ spl2_318 ),
inference(constrained_superposition,[],[f10354,f3185]) ).
thf(f15756,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_104
| ~ spl2_318 ),
inference(trivial_inequality_removal,[],[f15748]) ).
thf(f15760,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_318
| ~ spl2_338 ),
inference(trivial_inequality_removal,[],[f15745]) ).
thf(f15763,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_318
| ~ spl2_338
| ~ spl2_339 ),
inference(forward_subsumption_resolution,[],[f15760,f11844]) ).
thf(f15766,plain,
( spl2_101
| ~ spl2_1
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f14336,f4276,f75,f3172]) ).
thf(f15767,plain,
( ~ spl2_101
| spl2_175
| ~ spl2_104
| ~ spl2_318 ),
inference(avatar_split_clause,[],[f15756,f10353,f3184,f5538,f3172]) ).
thf(f15786,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_318
| ~ spl2_338
| ~ spl2_339 ),
inference(constrained_superposition,[],[f15763,f11906]) ).
thf(f15789,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_318
| ~ spl2_338
| ~ spl2_339 ),
inference(trivial_inequality_removal,[],[f15786]) ).
thf(f15797,plain,
( $false
| ~ spl2_115
| ~ spl2_318
| ~ spl2_338
| ~ spl2_339 ),
inference(forward_subsumption_resolution,[],[f15789,f3246]) ).
thf(f15798,plain,
( ~ spl2_115
| ~ spl2_318
| ~ spl2_338
| ~ spl2_339 ),
inference(avatar_contradiction_clause,[],[f15797]) ).
thf(f15808,plain,
( $false
| ~ spl2_5
| ~ spl2_161
| ~ spl2_274
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f10126,f15141]) ).
thf(f15809,plain,
( ~ spl2_5
| ~ spl2_161
| ~ spl2_274
| ~ spl2_300 ),
inference(avatar_contradiction_clause,[],[f15808]) ).
thf(f15811,definition,
( spl2_369
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_369])],[avatar_definition]) ).
thf(f15812,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_369 ),
inference(avatar_component_clause,[],[f15811]) ).
thf(f15813,plain,
( ~ spl2_369
| spl2_314
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f15227,f10187,f10327,f15811]) ).
thf(f15819,definition,
( spl2_370
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_370])],[avatar_definition]) ).
thf(f15820,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_370 ),
inference(avatar_component_clause,[],[f15819]) ).
thf(f15821,plain,
( ~ spl2_370
| spl2_335
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f15228,f10187,f11141,f15819]) ).
thf(f15869,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_114 ),
inference(constrained_superposition,[],[f137,f3243]) ).
thf(f15872,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f15869]) ).
thf(f15874,plain,
( spl2_147
| spl2_133
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f15872,f3242,f3983,f4402]) ).
thf(f15892,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_79
| ~ spl2_145 ),
inference(constrained_superposition,[],[f4277,f2970]) ).
thf(f15894,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_79 ),
inference(constrained_superposition,[],[f83,f2970]) ).
thf(f15901,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f30,f2970]) ).
thf(f15903,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f15894]) ).
thf(f15906,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f15901]) ).
thf(f15908,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_79
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f15892]) ).
thf(f15912,plain,
( spl2_124
| spl2_132
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f15906,f2969,f3966,f3703]) ).
thf(f15913,plain,
( ~ spl2_82
| ~ spl2_79
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f15908,f4276,f2969,f2980]) ).
thf(f15915,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_81 ),
inference(constrained_superposition,[],[f100,f2977]) ).
thf(f15923,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f15915]) ).
thf(f16011,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_370 ),
inference(constrained_superposition,[],[f15820,f454]) ).
thf(f16016,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_370 ),
inference(trivial_inequality_removal,[],[f16011]) ).
thf(f16019,plain,
( spl2_137
| spl2_370 ),
inference(avatar_split_clause,[],[f16016,f15819,f4075]) ).
thf(f16020,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_314 ),
inference(constrained_superposition,[],[f137,f10328]) ).
thf(f16025,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_314 ),
inference(duplicate_literal_removal,[],[f16020]) ).
thf(f16026,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_314 ),
inference(trivial_inequality_removal,[],[f16025]) ).
thf(f16030,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_81
| ~ spl2_115 ),
inference(constrained_superposition,[],[f15923,f3246]) ).
thf(f16035,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_81
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f16030]) ).
thf(f16041,plain,
( $false
| ~ spl2_5
| ~ spl2_59
| ~ spl2_81
| ~ spl2_115 ),
inference(forward_subsumption_resolution,[],[f16035,f2049]) ).
thf(f16042,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_81
| ~ spl2_115 ),
inference(avatar_contradiction_clause,[],[f16041]) ).
thf(f16048,plain,
( spl2_347
| spl2_292
| ~ spl2_314 ),
inference(avatar_split_clause,[],[f16026,f10327,f10005,f11804]) ).
thf(f16057,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| spl2_59 ),
inference(constrained_superposition,[],[f4970,f475]) ).
thf(f16058,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_59 ),
inference(trivial_inequality_removal,[],[f16057]) ).
thf(f16060,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f16058,f40]) ).
thf(f16062,plain,
( spl2_67
| spl2_164
| spl2_59 ),
inference(avatar_split_clause,[],[f16060,f2048,f5074,f2333]) ).
thf(f16087,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f30,f3984]) ).
thf(f16092,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_133 ),
inference(trivial_inequality_removal,[],[f16087]) ).
thf(f16096,plain,
( spl2_124
| spl2_105
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f16092,f3983,f3187,f3703]) ).
thf(f16131,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f164,f6500]) ).
thf(f16135,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f30,f6500]) ).
thf(f16137,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f16135]) ).
thf(f16140,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f16131]) ).
thf(f16143,plain,
( spl2_121
| spl2_213
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f16137,f6499,f6515,f3693]) ).
thf(f16165,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f164,f10006]) ).
thf(f16172,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f16165]) ).
thf(f16180,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_18
| spl2_307 ),
inference(constrained_superposition,[],[f15473,f322]) ).
thf(f16186,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_18
| spl2_307 ),
inference(trivial_inequality_removal,[],[f16180]) ).
thf(f16222,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_115 ),
inference(constrained_superposition,[],[f7865,f64]) ).
thf(f16227,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_115 ),
inference(trivial_inequality_removal,[],[f16222]) ).
thf(f16231,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_115 ),
inference(forward_subsumption_resolution,[],[f16227,f40]) ).
thf(f16242,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true ) )
| spl2_115 ),
inference(constrained_superposition,[],[f30,f16231]) ).
thf(f16245,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_115 ),
inference(trivial_inequality_removal,[],[f16242]) ).
thf(f16252,plain,
( spl2_132
| spl2_51
| spl2_115 ),
inference(avatar_split_clause,[],[f16245,f3245,f2019,f3966]) ).
thf(f16335,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3967,f62]) ).
thf(f16339,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f16335]) ).
thf(f16360,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_26 ),
inference(constrained_superposition,[],[f586,f50]) ).
thf(f16362,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_26
| ~ spl2_64 ),
inference(constrained_superposition,[],[f586,f2106]) ).
thf(f16367,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_26
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f16362]) ).
thf(f16372,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f16360]) ).
thf(f16375,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_339 ),
inference(constrained_superposition,[],[f16367,f11844]) ).
thf(f16382,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_26
| ~ spl2_64
| ~ spl2_339 ),
inference(trivial_inequality_removal,[],[f16375]) ).
thf(f16423,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_290
| ~ spl2_294 ),
inference(constrained_superposition,[],[f10035,f9982]) ).
thf(f16424,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_290
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f16423]) ).
thf(f16429,plain,
( $false
| ~ spl2_133
| ~ spl2_290
| ~ spl2_294 ),
inference(forward_subsumption_resolution,[],[f16424,f3984]) ).
thf(f16430,plain,
( ~ spl2_133
| ~ spl2_290
| ~ spl2_294 ),
inference(avatar_contradiction_clause,[],[f16429]) ).
thf(f16432,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_292 ),
inference(forward_subsumption_resolution,[],[f16172,f40]) ).
thf(f16433,plain,
( spl2_6
| spl2_119
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f16372,f585,f3588,f102]) ).
thf(f16437,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_18
| spl2_307 ),
inference(forward_subsumption_resolution,[],[f16186,f40]) ).
thf(f16440,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f16140,f40]) ).
thf(f16442,plain,
( spl2_120
| spl2_4
| spl2_300
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f16432,f10005,f10125,f85,f3591]) ).
thf(f16445,plain,
( spl2_10
| spl2_306
| spl2_300
| ~ spl2_18
| spl2_307 ),
inference(avatar_split_clause,[],[f16437,f10268,f321,f10125,f10265,f142]) ).
thf(f16447,plain,
( spl2_161
| spl2_4
| spl2_120
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f16440,f6499,f3591,f85,f4993]) ).
thf(f16487,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_104 ),
inference(constrained_superposition,[],[f137,f3185]) ).
thf(f16493,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_104 ),
inference(duplicate_literal_removal,[],[f16487]) ).
thf(f16494,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f16493]) ).
thf(f16495,plain,
( spl2_133
| spl2_353
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f16494,f3184,f12699,f3983]) ).
thf(f16496,plain,
( ( $true != $true )
| ~ spl2_121
| ~ spl2_212 ),
inference(constrained_superposition,[],[f3694,f6500]) ).
thf(f16501,plain,
( $false
| ~ spl2_121
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f16496]) ).
thf(f16502,plain,
( ~ spl2_121
| ~ spl2_212 ),
inference(avatar_contradiction_clause,[],[f16501]) ).
thf(f16507,plain,
( ~ spl2_307
| ~ spl2_26
| ~ spl2_64
| ~ spl2_339 ),
inference(avatar_split_clause,[],[f16382,f11653,f2105,f585,f10268]) ).
thf(f16508,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_26
| ~ spl2_135 ),
inference(constrained_superposition,[],[f586,f4020]) ).
thf(f16513,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_26
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f16508]) ).
thf(f16514,plain,
( spl2_263
| ~ spl2_26
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f16513,f4019,f585,f8940]) ).
thf(f16547,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_369 ),
inference(constrained_superposition,[],[f15812,f62]) ).
thf(f16550,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_369 ),
inference(trivial_inequality_removal,[],[f16547]) ).
thf(f16591,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_77
| ~ spl2_132 ),
inference(constrained_superposition,[],[f3967,f2963]) ).
thf(f16592,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_52
| ~ spl2_77 ),
inference(constrained_superposition,[],[f2023,f2963]) ).
thf(f16600,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_77 ),
inference(constrained_superposition,[],[f30,f2963]) ).
thf(f16601,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_77
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f16591]) ).
thf(f16605,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f16600]) ).
thf(f16606,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_52
| ~ spl2_77 ),
inference(trivial_inequality_removal,[],[f16592]) ).
thf(f16611,plain,
( spl2_121
| spl2_122
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f16605,f2962,f3696,f3693]) ).
thf(f16613,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_339 ),
inference(constrained_superposition,[],[f11654,f64]) ).
thf(f16619,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_339 ),
inference(trivial_inequality_removal,[],[f16613]) ).
thf(f16622,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f16619,f40]) ).
thf(f16628,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_339 ),
inference(constrained_superposition,[],[f164,f16622]) ).
thf(f16638,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_339 ),
inference(trivial_inequality_removal,[],[f16628]) ).
thf(f16646,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f16638,f40]) ).
thf(f16653,plain,
( spl2_59
| spl2_51
| spl2_300
| spl2_339 ),
inference(avatar_split_clause,[],[f16646,f11653,f10125,f2019,f2048]) ).
thf(f16657,plain,
( spl2_183
| spl2_369 ),
inference(avatar_split_clause,[],[f16550,f15811,f5651]) ).
thf(f16658,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_133 ),
inference(avatar_component_clause,[],[f3983]) ).
thf(f16659,plain,
( ~ spl2_133
| spl2_101
| ~ spl2_3
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f15903,f2969,f82,f3172,f3983]) ).
thf(f16662,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_59 ),
inference(constrained_superposition,[],[f29,f2049]) ).
thf(f16664,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f16662]) ).
thf(f16746,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_263 ),
inference(constrained_superposition,[],[f8941,f50]) ).
thf(f16755,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f16746]) ).
thf(f16759,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_338 ),
inference(constrained_superposition,[],[f11651,f64]) ).
thf(f16763,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_338 ),
inference(trivial_inequality_removal,[],[f16759]) ).
thf(f16767,plain,
( spl2_118
| spl2_287
| spl2_338 ),
inference(avatar_split_clause,[],[f16763,f11650,f9880,f3553]) ).
thf(f16770,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_132
| ~ spl2_287 ),
inference(constrained_superposition,[],[f3967,f9881]) ).
thf(f16771,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_52
| ~ spl2_287 ),
inference(constrained_superposition,[],[f2023,f9881]) ).
thf(f16780,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_52
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f16771]) ).
thf(f16782,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_132
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f16770]) ).
thf(f16790,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_52
| ~ spl2_287
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f16780,f16622]) ).
thf(f16791,plain,
( $false
| ~ spl2_132
| ~ spl2_287
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f16782,f16622]) ).
thf(f16792,plain,
( ~ spl2_132
| ~ spl2_287
| spl2_339 ),
inference(avatar_contradiction_clause,[],[f16791]) ).
thf(f16795,plain,
( $false
| ~ spl2_52
| spl2_115
| ~ spl2_287
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f16790,f7865]) ).
thf(f16796,plain,
( ~ spl2_52
| spl2_115
| ~ spl2_287
| spl2_339 ),
inference(avatar_contradiction_clause,[],[f16795]) ).
thf(f16804,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_309 ),
inference(constrained_superposition,[],[f10282,f51]) ).
thf(f16807,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_309 ),
inference(trivial_inequality_removal,[],[f16804]) ).
thf(f16809,plain,
( spl2_148
| spl2_339
| spl2_309 ),
inference(avatar_split_clause,[],[f16807,f10281,f11653,f4468]) ).
thf(f16855,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_281
| ~ spl2_339 ),
inference(constrained_superposition,[],[f9832,f11844]) ).
thf(f16861,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_281
| ~ spl2_339 ),
inference(trivial_inequality_removal,[],[f16855]) ).
thf(f16865,plain,
( $false
| ~ spl2_88
| ~ spl2_281
| ~ spl2_339 ),
inference(forward_subsumption_resolution,[],[f16861,f3118]) ).
thf(f16866,plain,
( ~ spl2_88
| ~ spl2_281
| ~ spl2_339 ),
inference(avatar_contradiction_clause,[],[f16865]) ).
thf(f16876,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f3697,f62]) ).
thf(f16878,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f16876]) ).
thf(f16884,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_358 ),
inference(constrained_superposition,[],[f13327,f62]) ).
thf(f16887,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_358 ),
inference(trivial_inequality_removal,[],[f16884]) ).
thf(f16908,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_298 ),
inference(constrained_superposition,[],[f10109,f62]) ).
thf(f16911,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_298 ),
inference(trivial_inequality_removal,[],[f16908]) ).
thf(f16973,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_277
| ~ spl2_361 ),
inference(constrained_superposition,[],[f14693,f9793]) ).
thf(f16976,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_277
| ~ spl2_361 ),
inference(trivial_inequality_removal,[],[f16973]) ).
thf(f16984,plain,
( $false
| ~ spl2_277
| ~ spl2_314
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f16976,f10328]) ).
thf(f16985,plain,
( ~ spl2_277
| ~ spl2_314
| ~ spl2_361 ),
inference(avatar_contradiction_clause,[],[f16984]) ).
thf(f16988,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_276
| ~ spl2_298 ),
inference(constrained_superposition,[],[f10109,f9790]) ).
thf(f17011,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_276
| ~ spl2_298 ),
inference(trivial_inequality_removal,[],[f16988]) ).
thf(f17016,plain,
( $false
| ~ spl2_77
| ~ spl2_276
| ~ spl2_298 ),
inference(forward_subsumption_resolution,[],[f17011,f2963]) ).
thf(f17017,plain,
( ~ spl2_77
| ~ spl2_276
| ~ spl2_298 ),
inference(avatar_contradiction_clause,[],[f17016]) ).
thf(f17035,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_274
| ~ spl2_278 ),
inference(constrained_superposition,[],[f9822,f9783]) ).
thf(f17039,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_274
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f17035]) ).
thf(f17046,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_75
| ~ spl2_274
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f17039,f2954]) ).
thf(f17048,plain,
( $false
| ~ spl2_75
| ~ spl2_136
| ~ spl2_274
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f17046,f4048]) ).
thf(f17049,plain,
( ~ spl2_75
| ~ spl2_136
| ~ spl2_274
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f17048]) ).
thf(f17070,plain,
( ~ spl2_65
| spl2_314
| ~ spl2_358 ),
inference(avatar_split_clause,[],[f16887,f13326,f10327,f2271]) ).
thf(f17101,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_277
| ~ spl2_347 ),
inference(constrained_superposition,[],[f11805,f9793]) ).
thf(f17102,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_335
| ~ spl2_347 ),
inference(constrained_superposition,[],[f11805,f11142]) ).
thf(f17110,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_335
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f17102]) ).
thf(f17112,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_277
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f17101]) ).
thf(f17115,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_64
| ~ spl2_335
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f17110,f2106]) ).
thf(f17116,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_149
| ~ spl2_277
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f17112,f4472]) ).
thf(f17117,plain,
( spl2_175
| ~ spl2_64
| ~ spl2_335
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f17115,f11804,f11141,f2105,f5538]) ).
thf(f17118,plain,
( spl2_361
| ~ spl2_149
| ~ spl2_277
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f17116,f11804,f9792,f4471,f14692]) ).
thf(f17123,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_137
| ~ spl2_320 ),
inference(constrained_superposition,[],[f10561,f4076]) ).
thf(f17128,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_137
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f17123]) ).
thf(f17181,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_293
| ~ spl2_335 ),
inference(constrained_superposition,[],[f10009,f11142]) ).
thf(f17188,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_293
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f17181]) ).
thf(f17198,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_274
| ~ spl2_321 ),
inference(constrained_superposition,[],[f10603,f9783]) ).
thf(f17199,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_137
| ~ spl2_321 ),
inference(constrained_superposition,[],[f10603,f4076]) ).
thf(f17204,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_137
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f17199]) ).
thf(f17215,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_274
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f17198]) ).
thf(f17216,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_88
| ~ spl2_137
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f17204,f3118]) ).
thf(f17218,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_274
| ~ spl2_280
| ~ spl2_321 ),
inference(forward_subsumption_resolution,[],[f17215,f9991]) ).
thf(f17219,plain,
( spl2_258
| ~ spl2_88
| ~ spl2_137
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f17216,f10602,f4075,f3117,f8575]) ).
thf(f17220,plain,
( spl2_278
| ~ spl2_274
| ~ spl2_280
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f17218,f10602,f9828,f9782,f9821]) ).
thf(f17222,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_59 ),
inference(constrained_superposition,[],[f16664,f50]) ).
thf(f17232,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_59 ),
inference(duplicate_literal_removal,[],[f17222]) ).
thf(f17233,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f17232]) ).
thf(f17239,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_59
| spl2_60 ),
inference(forward_subsumption_resolution,[],[f17233,f11143]) ).
thf(f17243,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_59
| spl2_60
| ~ spl2_339 ),
inference(constrained_superposition,[],[f17239,f11844]) ).
thf(f17251,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_59
| spl2_60
| ~ spl2_339 ),
inference(trivial_inequality_removal,[],[f17243]) ).
thf(f17258,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_59
| spl2_60
| ~ spl2_280
| ~ spl2_339 ),
inference(forward_subsumption_resolution,[],[f17251,f9991]) ).
thf(f17260,plain,
( spl2_281
| ~ spl2_59
| spl2_60
| ~ spl2_280
| ~ spl2_339 ),
inference(avatar_split_clause,[],[f17258,f11653,f9828,f2071,f2048,f9831]) ).
thf(f17262,plain,
( ~ spl2_224
| spl2_115
| ~ spl2_52
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f16606,f2962,f2022,f3245,f6930]) ).
thf(f17265,plain,
( ~ spl2_65
| spl2_104
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f16339,f3966,f3184,f2271]) ).
thf(f17267,plain,
( spl2_174
| ~ spl2_59
| ~ spl2_137
| ~ spl2_320 ),
inference(avatar_split_clause,[],[f17128,f10560,f4075,f2048,f5532]) ).
thf(f17270,plain,
( spl2_183
| ~ spl2_214
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f16878,f3696,f6608,f5651]) ).
thf(f17272,plain,
( ~ spl2_214
| spl2_314
| ~ spl2_298 ),
inference(avatar_split_clause,[],[f16911,f10108,f10327,f6608]) ).
thf(f17276,plain,
( ~ spl2_224
| ~ spl2_77
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f16601,f3966,f2962,f6930]) ).
thf(f17281,plain,
( ~ spl2_59
| spl2_174
| ~ spl2_293
| ~ spl2_335 ),
inference(avatar_split_clause,[],[f17188,f11141,f10008,f5532,f2048]) ).
thf(f17282,plain,
( spl2_125
| ~ spl2_10
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f16755,f8940,f142,f3784]) ).
thf(f17302,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118
| ~ spl2_149 ),
inference(constrained_superposition,[],[f4472,f3554]) ).
thf(f17303,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_118
| spl2_161 ),
inference(constrained_superposition,[],[f4994,f3554]) ).
thf(f17306,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_118
| ~ spl2_274 ),
inference(constrained_superposition,[],[f9783,f3554]) ).
thf(f17314,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_118
| ~ spl2_339 ),
inference(constrained_superposition,[],[f11844,f3554]) ).
thf(f17315,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118
| spl2_212 ),
inference(constrained_superposition,[],[f14834,f3554]) ).
thf(f17316,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5
| ~ spl2_81
| ~ spl2_118 ),
inference(constrained_superposition,[],[f15923,f3554]) ).
thf(f17323,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_118 ),
inference(constrained_superposition,[],[f83,f3554]) ).
thf(f17350,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_118 ),
inference(duplicate_literal_removal,[],[f17323]) ).
thf(f17352,plain,
( ~ spl2_58
| ~ spl2_118
| spl2_212 ),
inference(avatar_split_clause,[],[f17315,f6499,f3553,f2044]) ).
thf(f17353,plain,
( spl2_119
| ~ spl2_5
| ~ spl2_81
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f17316,f3553,f2976,f99,f3588]) ).
thf(f17355,plain,
( ~ spl2_59
| ~ spl2_118
| spl2_161 ),
inference(avatar_split_clause,[],[f17303,f4993,f3553,f2048]) ).
thf(f17362,plain,
( spl2_21
| spl2_85
| ~ spl2_3
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f17350,f3553,f82,f3098,f342]) ).
thf(f17366,plain,
( spl2_80
| ~ spl2_118
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f17306,f9782,f3553,f2972]) ).
thf(f17369,plain,
( spl2_64
| ~ spl2_118
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f17302,f4471,f3553,f2105]) ).
thf(f17371,plain,
( spl2_80
| ~ spl2_118
| ~ spl2_339 ),
inference(avatar_split_clause,[],[f17314,f11653,f3553,f2972]) ).
thf(f17380,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f163,f103]) ).
thf(f17382,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f30,f103]) ).
thf(f17384,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f17382]) ).
thf(f17388,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f17380]) ).
thf(f17389,plain,
( spl2_16
| spl2_13
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f17384,f102,f169,f213]) ).
thf(f17390,plain,
( spl2_4
| spl2_19
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f17388,f102,f325,f85]) ).
thf(f17401,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| spl2_120 ),
inference(constrained_superposition,[],[f3592,f475]) ).
thf(f17403,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| spl2_120 ),
inference(trivial_inequality_removal,[],[f17401]) ).
thf(f17405,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| spl2_120 ),
inference(forward_subsumption_resolution,[],[f17403,f40]) ).
thf(f17406,plain,
( spl2_162
| spl2_34
| spl2_120 ),
inference(avatar_split_clause,[],[f17405,f3591,f1431,f4997]) ).
thf(f17460,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_3
| ~ spl2_128 ),
inference(constrained_superposition,[],[f83,f3795]) ).
thf(f17468,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_3
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f17460]) ).
thf(f17475,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_128 ),
inference(forward_subsumption_resolution,[],[f17468,f103]) ).
thf(f17478,plain,
( spl2_183
| ~ spl2_3
| ~ spl2_6
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f17475,f3794,f102,f82,f5651]) ).
thf(f17480,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_133 ),
inference(constrained_superposition,[],[f16658,f28]) ).
thf(f17481,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_133 ),
inference(trivial_inequality_removal,[],[f17480]) ).
thf(f17483,plain,
( spl2_118
| spl2_135
| spl2_133 ),
inference(avatar_split_clause,[],[f17481,f3983,f4019,f3553]) ).
thf(f17520,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f137,f6606]) ).
thf(f17524,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_183 ),
inference(duplicate_literal_removal,[],[f17520]) ).
thf(f17525,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f17524]) ).
thf(f17529,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_115 ),
inference(constrained_superposition,[],[f7865,f64]) ).
thf(f17534,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_115 ),
inference(trivial_inequality_removal,[],[f17529]) ).
thf(f17538,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_115 ),
inference(forward_subsumption_resolution,[],[f17534,f40]) ).
thf(f17566,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_280 ),
inference(constrained_superposition,[],[f137,f9991]) ).
thf(f17569,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f17566]) ).
thf(f17570,plain,
( spl2_293
| spl2_292
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f17569,f9828,f10005,f10008]) ).
thf(f17576,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_300 ),
inference(constrained_superposition,[],[f100,f10126]) ).
thf(f17582,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_300 ),
inference(trivial_inequality_removal,[],[f17576]) ).
thf(f17596,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_176 ),
inference(constrained_superposition,[],[f5543,f64]) ).
thf(f17600,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_176 ),
inference(trivial_inequality_removal,[],[f17596]) ).
thf(f17604,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_176 ),
inference(forward_subsumption_resolution,[],[f17600,f40]) ).
thf(f17614,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| spl2_176 ),
inference(constrained_superposition,[],[f30,f17604]) ).
thf(f17621,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| spl2_176 ),
inference(trivial_inequality_removal,[],[f17614]) ).
thf(f17624,plain,
( spl2_208
| spl2_121
| spl2_176 ),
inference(avatar_split_clause,[],[f17621,f5542,f3693,f6364]) ).
thf(f17667,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_339 ),
inference(constrained_superposition,[],[f11654,f64]) ).
thf(f17673,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_339 ),
inference(trivial_inequality_removal,[],[f17667]) ).
thf(f17676,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f17673,f40]) ).
thf(f17708,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_78
| ~ spl2_263 ),
inference(constrained_superposition,[],[f8941,f2966]) ).
thf(f17719,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_78
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f17708]) ).
thf(f17722,plain,
( ~ spl2_149
| ~ spl2_78
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f17719,f8940,f2965,f4471]) ).
thf(f17723,plain,
( spl2_212
| spl2_334
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f17525,f5651,f10929,f6499]) ).
thf(f17725,plain,
( ( $true != $true )
| ~ spl2_51
| spl2_115 ),
inference(constrained_superposition,[],[f2020,f17538]) ).
thf(f17732,plain,
( $false
| ~ spl2_51
| spl2_115 ),
inference(trivial_inequality_removal,[],[f17725]) ).
thf(f17733,plain,
( ~ spl2_51
| spl2_115 ),
inference(avatar_contradiction_clause,[],[f17732]) ).
thf(f17755,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_58 ),
inference(constrained_superposition,[],[f30,f3462]) ).
thf(f17762,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f17755]) ).
thf(f17764,plain,
( spl2_51
| spl2_100
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f17762,f2044,f3169,f2019]) ).
thf(f17788,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_115 ),
inference(constrained_superposition,[],[f137,f3246]) ).
thf(f17792,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f17788]) ).
thf(f17794,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_115
| spl2_133 ),
inference(forward_subsumption_resolution,[],[f17792,f16658]) ).
thf(f17795,plain,
( spl2_134
| ~ spl2_115
| spl2_133 ),
inference(avatar_split_clause,[],[f17794,f3983,f3245,f3986]) ).
thf(f17820,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_292 ),
inference(constrained_superposition,[],[f10203,f28]) ).
thf(f17822,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_292 ),
inference(trivial_inequality_removal,[],[f17820]) ).
thf(f17824,plain,
( spl2_306
| spl2_307
| spl2_292 ),
inference(avatar_split_clause,[],[f17822,f10005,f10268,f10265]) ).
thf(f17950,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_300
| ~ spl2_335 ),
inference(constrained_superposition,[],[f17582,f11142]) ).
thf(f17957,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_5
| ~ spl2_300
| ~ spl2_335 ),
inference(trivial_inequality_removal,[],[f17950]) ).
thf(f17959,plain,
( $false
| ~ spl2_5
| ~ spl2_59
| ~ spl2_300
| ~ spl2_335 ),
inference(forward_subsumption_resolution,[],[f17957,f2049]) ).
thf(f17960,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_300
| ~ spl2_335 ),
inference(avatar_contradiction_clause,[],[f17959]) ).
thf(f18011,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_208
| ~ spl2_275 ),
inference(constrained_superposition,[],[f6365,f9786]) ).
thf(f18014,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f18011]) ).
thf(f18019,plain,
( $false
| ~ spl2_208
| ~ spl2_275
| spl2_339 ),
inference(forward_subsumption_resolution,[],[f18014,f17676]) ).
thf(f18020,plain,
( ~ spl2_208
| ~ spl2_275
| spl2_339 ),
inference(avatar_contradiction_clause,[],[f18019]) ).
thf(f18023,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_136 ),
inference(constrained_superposition,[],[f137,f4048]) ).
thf(f18026,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f18023]) ).
thf(f18027,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_136
| spl2_212 ),
inference(forward_subsumption_resolution,[],[f18026,f14834]) ).
thf(f18028,plain,
( spl2_320
| ~ spl2_136
| spl2_212 ),
inference(avatar_split_clause,[],[f18027,f6499,f4047,f10560]) ).
thf(f18041,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_280 ),
inference(constrained_superposition,[],[f9829,f50]) ).
thf(f18045,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_280 ),
inference(trivial_inequality_removal,[],[f18041]) ).
thf(f18048,plain,
( $false
| ~ spl2_13
| spl2_280 ),
inference(forward_subsumption_resolution,[],[f18045,f170]) ).
thf(f18049,plain,
( ~ spl2_13
| spl2_280 ),
inference(avatar_contradiction_clause,[],[f18048]) ).
thf(f18078,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_279 ),
inference(constrained_superposition,[],[f9825,f64]) ).
thf(f18082,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_279 ),
inference(trivial_inequality_removal,[],[f18078]) ).
thf(f18085,plain,
( spl2_118
| spl2_290
| spl2_279 ),
inference(avatar_split_clause,[],[f18082,f9824,f9981,f3553]) ).
thf(f18087,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_52
| ~ spl2_290 ),
inference(constrained_superposition,[],[f2023,f9982]) ).
thf(f18094,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_290 ),
inference(constrained_superposition,[],[f30,f9982]) ).
thf(f18095,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_52
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f18087]) ).
thf(f18102,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f18094]) ).
thf(f18103,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_52
| ~ spl2_79
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f18095,f2970]) ).
thf(f18105,plain,
( spl2_298
| spl2_124
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f18102,f9981,f3703,f10108]) ).
thf(f18106,plain,
( spl2_335
| ~ spl2_52
| ~ spl2_79
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f18103,f9981,f2969,f2022,f11141]) ).
thf(f18114,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_275 ),
inference(constrained_superposition,[],[f30,f9786]) ).
thf(f18115,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f18114]) ).
thf(f18123,plain,
( spl2_302
| spl2_295
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f18115,f9785,f10037,f10187]) ).
thf(f18132,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_276 ),
inference(constrained_superposition,[],[f30,f9790]) ).
thf(f18140,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_276 ),
inference(trivial_inequality_removal,[],[f18132]) ).
thf(f18143,plain,
( spl2_121
| spl2_302
| ~ spl2_276 ),
inference(avatar_split_clause,[],[f18140,f9789,f10187,f3693]) ).
thf(f18230,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_75
| ~ spl2_258 ),
inference(constrained_superposition,[],[f8576,f2954]) ).
thf(f18237,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_75
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f18230]) ).
thf(f18243,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_75
| ~ spl2_137
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f18237,f4076]) ).
thf(f18246,plain,
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_75
| ~ spl2_137
| ~ spl2_258 ),
inference(constrained_superposition,[],[f18243,f50]) ).
thf(f18251,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_75
| ~ spl2_137
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f18246]) ).
thf(f18259,plain,
( spl2_128
| ~ spl2_75
| ~ spl2_137
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f18251,f8575,f4075,f2953,f3794]) ).
thf(f18268,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_128 ),
inference(constrained_superposition,[],[f30,f3795]) ).
thf(f18271,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f18268]) ).
thf(f18276,plain,
( spl2_242
| spl2_13
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f18271,f3794,f169,f8023]) ).
thf(f18345,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_75
| ~ spl2_334 ),
inference(constrained_superposition,[],[f10930,f2954]) ).
thf(f18353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_75
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f18345]) ).
thf(f18359,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_75
| ~ spl2_135
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f18353,f4020]) ).
thf(f18360,plain,
( spl2_228
| ~ spl2_75
| ~ spl2_135
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f18359,f10929,f4019,f2953,f7439]) ).
thf(f18364,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_75
| ~ spl2_228 ),
inference(constrained_superposition,[],[f7440,f2954]) ).
thf(f18370,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_75
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f18364]) ).
thf(f18373,plain,
( $false
| ~ spl2_75
| ~ spl2_183
| ~ spl2_228 ),
inference(forward_subsumption_resolution,[],[f18370,f6606]) ).
thf(f18374,plain,
( ~ spl2_75
| ~ spl2_183
| ~ spl2_228 ),
inference(avatar_contradiction_clause,[],[f18373]) ).
cnf(s2,plain,
( spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f87]) ).
cnf(s6,plain,
( spl2_1
| ~ spl2_10
| spl2_11 ),
inference(sat_conversion,[],[f147]) ).
cnf(s7,plain,
( spl2_6
| spl2_10 ),
inference(sat_conversion,[],[f150]) ).
cnf(s8,plain,
( spl2_12
| spl2_13 ),
inference(sat_conversion,[],[f171]) ).
cnf(s13,plain,
( spl2_13
| spl2_18 ),
inference(sat_conversion,[],[f323]) ).
cnf(s21,plain,
( ~ spl2_9
| spl2_26
| spl2_29 ),
inference(sat_conversion,[],[f599]) ).
cnf(s22,plain,
( ~ spl2_9
| ~ spl2_16
| spl2_26
| spl2_27 ),
inference(sat_conversion,[],[f607]) ).
cnf(s25,plain,
( ~ spl2_9
| ~ spl2_16
| spl2_26
| spl2_28 ),
inference(sat_conversion,[],[f616]) ).
cnf(s27,plain,
( ~ spl2_6
| ~ spl2_13 ),
inference(sat_conversion,[],[f624]) ).
cnf(s59,plain,
( spl2_51
| spl2_52 ),
inference(sat_conversion,[],[f2024]) ).
cnf(s65,plain,
( ~ spl2_51
| spl2_59 ),
inference(sat_conversion,[],[f2059]) ).
cnf(s66,plain,
( ~ spl2_51
| spl2_54 ),
inference(sat_conversion,[],[f2060]) ).
cnf(s70,plain,
( ~ spl2_6
| spl2_51
| ~ spl2_60
| spl2_62
| spl2_64 ),
inference(sat_conversion,[],[f2107]) ).
cnf(s78,plain,
( ~ spl2_52
| spl2_54
| ~ spl2_66 ),
inference(sat_conversion,[],[f2277]) ).
cnf(s81,plain,
( ~ spl2_3
| ~ spl2_6
| spl2_26
| ~ spl2_60
| ~ spl2_64 ),
inference(sat_conversion,[],[f2438]) ).
cnf(s83,plain,
( ~ spl2_3
| ~ spl2_6
| spl2_26
| spl2_58
| ~ spl2_60 ),
inference(sat_conversion,[],[f2445]) ).
cnf(s143,plain,
( spl2_53
| spl2_59 ),
inference(sat_conversion,[],[f3226]) ).
cnf(s147,plain,
( ~ spl2_12
| spl2_59
| spl2_62
| spl2_114
| spl2_115 ),
inference(sat_conversion,[],[f3247]) ).
cnf(s149,plain,
( ~ spl2_12
| spl2_62
| spl2_80
| spl2_81
| spl2_88 ),
inference(sat_conversion,[],[f3249]) ).
cnf(s154,plain,
( ~ spl2_4
| spl2_34 ),
inference(sat_conversion,[],[f3262]) ).
cnf(s155,plain,
( ~ spl2_4
| spl2_9 ),
inference(sat_conversion,[],[f3263]) ).
cnf(s157,plain,
( spl2_29
| ~ spl2_83 ),
inference(sat_conversion,[],[f3299]) ).
cnf(s159,plain,
( ~ spl2_21
| ~ spl2_26
| spl2_83 ),
inference(sat_conversion,[],[f3342]) ).
cnf(s167,plain,
( ~ spl2_21
| ~ spl2_83 ),
inference(sat_conversion,[],[f3441]) ).
cnf(s172,plain,
( spl2_5
| spl2_23
| ~ spl2_28 ),
inference(sat_conversion,[],[f3469]) ).
cnf(s178,plain,
( spl2_1
| ~ spl2_21
| ~ spl2_41 ),
inference(sat_conversion,[],[f3582]) ).
cnf(s181,plain,
( ~ spl2_4
| spl2_120 ),
inference(sat_conversion,[],[f3600]) ).
cnf(s189,plain,
( ~ spl2_6
| ~ spl2_23
| ~ spl2_29 ),
inference(sat_conversion,[],[f3781]) ).
cnf(s196,plain,
( ~ spl2_6
| ~ spl2_29
| ~ spl2_60 ),
inference(sat_conversion,[],[f3825]) ).
cnf(s197,plain,
( ~ spl2_29
| spl2_54 ),
inference(sat_conversion,[],[f3827]) ).
cnf(s200,plain,
( ~ spl2_5
| ~ spl2_28
| ~ spl2_78 ),
inference(sat_conversion,[],[f3889]) ).
cnf(s203,plain,
( ~ spl2_5
| ~ spl2_28
| ~ spl2_80 ),
inference(sat_conversion,[],[f3895]) ).
cnf(s208,plain,
( ~ spl2_16
| ~ spl2_53
| ~ spl2_58 ),
inference(sat_conversion,[],[f3924]) ).
cnf(s210,plain,
( spl2_10
| ~ spl2_12
| ~ spl2_53
| ~ spl2_58 ),
inference(sat_conversion,[],[f3926]) ).
cnf(s211,plain,
( ~ spl2_79
| ~ spl2_124 ),
inference(sat_conversion,[],[f3944]) ).
cnf(s216,plain,
( ~ spl2_11
| ~ spl2_64
| ~ spl2_115
| spl2_133 ),
inference(sat_conversion,[],[f3991]) ).
cnf(s219,plain,
( ~ spl2_79
| ~ spl2_100
| spl2_135 ),
inference(sat_conversion,[],[f4022]) ).
cnf(s220,plain,
( ~ spl2_12
| ~ spl2_76
| ~ spl2_82
| spl2_136 ),
inference(sat_conversion,[],[f4049]) ).
cnf(s224,plain,
( ~ spl2_52
| ~ spl2_76
| ~ spl2_79
| spl2_137 ),
inference(sat_conversion,[],[f4077]) ).
cnf(s248,plain,
( ~ spl2_5
| spl2_119
| ~ spl2_120 ),
inference(sat_conversion,[],[f4210]) ).
cnf(s251,plain,
~ spl2_62,
inference(sat_conversion,[],[f4234]) ).
cnf(s253,plain,
( spl2_5
| ~ spl2_85
| ~ spl2_120 ),
inference(sat_conversion,[],[f4238]) ).
cnf(s254,plain,
( spl2_6
| ~ spl2_21
| spl2_41 ),
inference(sat_conversion,[],[f4239]) ).
cnf(s256,plain,
( spl2_62
| spl2_79
| spl2_80 ),
inference(sat_conversion,[],[f4253]) ).
cnf(s257,plain,
( spl2_62
| spl2_77
| spl2_78 ),
inference(sat_conversion,[],[f4254]) ).
cnf(s268,plain,
( spl2_58
| spl2_62
| spl2_64 ),
inference(sat_conversion,[],[f4389]) ).
cnf(s273,plain,
( ~ spl2_77
| spl2_121
| spl2_122 ),
inference(sat_conversion,[],[f4444]) ).
cnf(s276,plain,
( ~ spl2_77
| ~ spl2_105
| spl2_149 ),
inference(sat_conversion,[],[f4474]) ).
cnf(s278,plain,
( spl2_11
| ~ spl2_26 ),
inference(sat_conversion,[],[f4519]) ).
cnf(s279,plain,
( ~ spl2_10
| ~ spl2_26
| spl2_119 ),
inference(sat_conversion,[],[f4521]) ).
cnf(s281,plain,
( spl2_6
| ~ spl2_9
| spl2_150 ),
inference(sat_conversion,[],[f4527]) ).
cnf(s289,plain,
( ~ spl2_26
| ~ spl2_64
| ~ spl2_80
| spl2_133 ),
inference(sat_conversion,[],[f4609]) ).
cnf(s292,plain,
( ~ spl2_124
| ~ spl2_133 ),
inference(sat_conversion,[],[f4637]) ).
cnf(s294,plain,
( ~ spl2_124
| spl2_155 ),
inference(sat_conversion,[],[f4643]) ).
cnf(s295,plain,
( spl2_51
| spl2_62
| spl2_64
| spl2_100 ),
inference(sat_conversion,[],[f4644]) ).
cnf(s297,plain,
( ~ spl2_51
| ~ spl2_58 ),
inference(sat_conversion,[],[f4655]) ).
cnf(s298,plain,
( spl2_62
| spl2_75
| spl2_76 ),
inference(sat_conversion,[],[f4656]) ).
cnf(s301,plain,
( ~ spl2_29
| spl2_58 ),
inference(sat_conversion,[],[f4684]) ).
cnf(s309,plain,
( ~ spl2_34
| spl2_120 ),
inference(sat_conversion,[],[f4905]) ).
cnf(s311,plain,
( ~ spl2_54
| ~ spl2_59
| ~ spl2_150
| spl2_158 ),
inference(sat_conversion,[],[f4974]) ).
cnf(s315,plain,
( spl2_81
| spl2_82 ),
inference(sat_conversion,[],[f4989]) ).
cnf(s324,plain,
( spl2_4
| spl2_28
| ~ spl2_29
| spl2_120 ),
inference(sat_conversion,[],[f5008]) ).
cnf(s329,plain,
( ~ spl2_119
| ~ spl2_149
| ~ spl2_161 ),
inference(sat_conversion,[],[f5063]) ).
cnf(s330,plain,
( ~ spl2_59
| ~ spl2_64
| ~ spl2_119 ),
inference(sat_conversion,[],[f5064]) ).
cnf(s333,plain,
( ~ spl2_5
| ~ spl2_9
| ~ spl2_81
| ~ spl2_120 ),
inference(sat_conversion,[],[f5124]) ).
cnf(s335,plain,
( ~ spl2_9
| ~ spl2_120
| ~ spl2_158 ),
inference(sat_conversion,[],[f5167]) ).
cnf(s340,plain,
( ~ spl2_9
| ~ spl2_24
| ~ spl2_88 ),
inference(sat_conversion,[],[f5260]) ).
cnf(s343,plain,
( ~ spl2_10
| ~ spl2_64
| ~ spl2_88
| ~ spl2_120 ),
inference(sat_conversion,[],[f5335]) ).
cnf(s345,plain,
( ~ spl2_10
| ~ spl2_12
| ~ spl2_64
| spl2_88
| ~ spl2_119
| ~ spl2_120
| spl2_170 ),
inference(sat_conversion,[],[f5347]) ).
cnf(s347,plain,
( spl2_118
| ~ spl2_149
| ~ spl2_170 ),
inference(sat_conversion,[],[f5366]) ).
cnf(s352,plain,
( spl2_26
| ~ spl2_64
| ~ spl2_101 ),
inference(sat_conversion,[],[f5488]) ).
cnf(s357,plain,
( ~ spl2_78
| ~ spl2_134
| ~ spl2_176
| spl2_177 ),
inference(sat_conversion,[],[f5547]) ).
cnf(s370,plain,
( ~ spl2_80
| ~ spl2_101
| ~ spl2_146
| spl2_184 ),
inference(sat_conversion,[],[f5658]) ).
cnf(s381,plain,
( spl2_24
| ~ spl2_104
| ~ spl2_120
| ~ spl2_147 ),
inference(sat_conversion,[],[f5788]) ).
cnf(s382,plain,
( ~ spl2_24
| ~ spl2_104
| ~ spl2_114 ),
inference(sat_conversion,[],[f5801]) ).
cnf(s383,plain,
( ~ spl2_65
| spl2_79
| ~ spl2_118 ),
inference(sat_conversion,[],[f5873]) ).
cnf(s386,plain,
( ~ spl2_29
| spl2_85
| ~ spl2_118 ),
inference(sat_conversion,[],[f5878]) ).
cnf(s393,plain,
( ~ spl2_80
| spl2_101
| ~ spl2_118 ),
inference(sat_conversion,[],[f5891]) ).
cnf(s395,plain,
( spl2_81
| ~ spl2_118
| ~ spl2_120 ),
inference(sat_conversion,[],[f5896]) ).
cnf(s404,plain,
( ~ spl2_54
| ~ spl2_75
| ~ spl2_80
| ~ spl2_176 ),
inference(sat_conversion,[],[f5992]) ).
cnf(s415,plain,
( spl2_66
| spl2_74
| ~ spl2_179 ),
inference(sat_conversion,[],[f6088]) ).
cnf(s418,plain,
( ~ spl2_54
| spl2_74
| ~ spl2_179 ),
inference(sat_conversion,[],[f6095]) ).
cnf(s420,plain,
( spl2_60
| spl2_88 ),
inference(sat_conversion,[],[f6097]) ).
cnf(s423,plain,
( ~ spl2_10
| spl2_60
| ~ spl2_64
| ~ spl2_120 ),
inference(sat_conversion,[],[f6106]) ).
cnf(s424,plain,
( ~ spl2_13
| spl2_38 ),
inference(sat_conversion,[],[f6109]) ).
cnf(s425,plain,
( ~ spl2_13
| ~ spl2_60 ),
inference(sat_conversion,[],[f6111]) ).
cnf(s429,plain,
( ~ spl2_38
| spl2_88 ),
inference(sat_conversion,[],[f6166]) ).
cnf(s431,plain,
( ~ spl2_10
| ~ spl2_38
| ~ spl2_64
| ~ spl2_120 ),
inference(sat_conversion,[],[f6171]) ).
cnf(s451,plain,
( spl2_51
| spl2_59
| spl2_176
| ~ spl2_209 ),
inference(sat_conversion,[],[f6375]) ).
cnf(s452,plain,
( ~ spl2_81
| ~ spl2_119
| ~ spl2_135 ),
inference(sat_conversion,[],[f6404]) ).
cnf(s462,plain,
( ~ spl2_5
| ~ spl2_78
| ~ spl2_81
| ~ spl2_161 ),
inference(sat_conversion,[],[f6475]) ).
cnf(s470,plain,
( ~ spl2_10
| ~ spl2_11
| spl2_15 ),
inference(sat_conversion,[],[f6676]) ).
cnf(s481,plain,
( ~ spl2_60
| ~ spl2_125
| ~ spl2_132 ),
inference(sat_conversion,[],[f6853]) ).
cnf(s487,plain,
( ~ spl2_3
| ~ spl2_77
| spl2_104
| ~ spl2_212 ),
inference(sat_conversion,[],[f6914]) ).
cnf(s488,plain,
( ~ spl2_11
| ~ spl2_54
| ~ spl2_64
| ~ spl2_77 ),
inference(sat_conversion,[],[f6916]) ).
cnf(s490,plain,
( spl2_133
| spl2_135 ),
inference(sat_conversion,[],[f6920]) ).
cnf(s492,plain,
( ~ spl2_81
| ~ spl2_119
| spl2_133 ),
inference(sat_conversion,[],[f6922]) ).
cnf(s496,plain,
( ~ spl2_10
| ~ spl2_11
| ~ spl2_114
| spl2_133 ),
inference(sat_conversion,[],[f6933]) ).
cnf(s498,plain,
( spl2_1
| spl2_120 ),
inference(sat_conversion,[],[f6937]) ).
cnf(s503,plain,
( spl2_8
| ~ spl2_11
| spl2_83
| ~ spl2_118 ),
inference(sat_conversion,[],[f7009]) ).
cnf(s505,plain,
( ~ spl2_81
| ~ spl2_118
| spl2_120 ),
inference(sat_conversion,[],[f7012]) ).
cnf(s506,plain,
( ~ spl2_1
| spl2_82
| ~ spl2_118 ),
inference(sat_conversion,[],[f7013]) ).
cnf(s510,plain,
( spl2_65
| ~ spl2_79
| ~ spl2_118 ),
inference(sat_conversion,[],[f7020]) ).
cnf(s515,plain,
( spl2_8
| spl2_21
| ~ spl2_118 ),
inference(sat_conversion,[],[f7029]) ).
cnf(s518,plain,
( spl2_51
| spl2_59
| ~ spl2_79
| ~ spl2_82 ),
inference(sat_conversion,[],[f7035]) ).
cnf(s520,plain,
( spl2_51
| spl2_59
| ~ spl2_79
| spl2_81 ),
inference(sat_conversion,[],[f7037]) ).
cnf(s521,plain,
( spl2_4
| ~ spl2_8
| spl2_34 ),
inference(sat_conversion,[],[f7056]) ).
cnf(s522,plain,
( spl2_4
| ~ spl2_8
| spl2_85 ),
inference(sat_conversion,[],[f7058]) ).
cnf(s525,plain,
( ~ spl2_9
| spl2_104 ),
inference(sat_conversion,[],[f7079]) ).
cnf(s527,plain,
( ~ spl2_11
| spl2_58
| ~ spl2_64
| ~ spl2_74 ),
inference(sat_conversion,[],[f7116]) ).
cnf(s529,plain,
( ~ spl2_121
| spl2_161 ),
inference(sat_conversion,[],[f7124]) ).
cnf(s530,plain,
( ~ spl2_121
| spl2_165 ),
inference(sat_conversion,[],[f7125]) ).
cnf(s535,plain,
( spl2_4
| spl2_81
| spl2_120
| ~ spl2_133 ),
inference(sat_conversion,[],[f7151]) ).
cnf(s541,plain,
( ~ spl2_119
| ~ spl2_161
| spl2_212 ),
inference(sat_conversion,[],[f7195]) ).
cnf(s550,plain,
( spl2_115
| spl2_223 ),
inference(sat_conversion,[],[f7308]) ).
cnf(s551,plain,
( spl2_62
| spl2_115
| spl2_223 ),
inference(sat_conversion,[],[f7310]) ).
cnf(s552,plain,
( spl2_118
| spl2_176
| spl2_224 ),
inference(sat_conversion,[],[f7336]) ).
cnf(s553,plain,
( spl2_176
| spl2_179
| spl2_224 ),
inference(sat_conversion,[],[f7337]) ).
cnf(s558,plain,
( ~ spl2_5
| ~ spl2_120
| ~ spl2_161
| ~ spl2_183 ),
inference(sat_conversion,[],[f7420]) ).
cnf(s563,plain,
( spl2_104
| spl2_214 ),
inference(sat_conversion,[],[f7436]) ).
cnf(s564,plain,
( ~ spl2_71
| ~ spl2_80
| ~ spl2_104
| spl2_228 ),
inference(sat_conversion,[],[f7441]) ).
cnf(s569,plain,
( ~ spl2_80
| ~ spl2_101
| ~ spl2_228 ),
inference(sat_conversion,[],[f7477]) ).
cnf(s589,plain,
( spl2_72
| ~ spl2_132
| ~ spl2_227 ),
inference(sat_conversion,[],[f7806]) ).
cnf(s593,plain,
( spl2_81
| ~ spl2_161
| ~ spl2_227 ),
inference(sat_conversion,[],[f7813]) ).
cnf(s597,plain,
( spl2_58
| ~ spl2_133
| ~ spl2_227 ),
inference(sat_conversion,[],[f7820]) ).
cnf(s600,plain,
( ~ spl2_101
| spl2_104
| ~ spl2_227 ),
inference(sat_conversion,[],[f7827]) ).
cnf(s610,plain,
( spl2_114
| spl2_125 ),
inference(sat_conversion,[],[f7882]) ).
cnf(s614,plain,
( ~ spl2_52
| ~ spl2_60
| spl2_115
| ~ spl2_125 ),
inference(sat_conversion,[],[f7910]) ).
cnf(s617,plain,
( spl2_128
| ~ spl2_161
| spl2_240 ),
inference(sat_conversion,[],[f7997]) ).
cnf(s622,plain,
( ~ spl2_52
| ~ spl2_60
| ~ spl2_128
| spl2_137 ),
inference(sat_conversion,[],[f8033]) ).
cnf(s631,plain,
( ~ spl2_78
| spl2_104
| ~ spl2_148 ),
inference(sat_conversion,[],[f8128]) ).
cnf(s633,plain,
( spl2_8
| ~ spl2_11
| spl2_83
| ~ spl2_148 ),
inference(sat_conversion,[],[f8134]) ).
cnf(s636,plain,
( ~ spl2_52
| spl2_72
| spl2_74
| ~ spl2_148 ),
inference(sat_conversion,[],[f8139]) ).
cnf(s639,plain,
( spl2_8
| ~ spl2_119
| ~ spl2_120
| ~ spl2_148 ),
inference(sat_conversion,[],[f8144]) ).
cnf(s648,plain,
( ~ spl2_34
| spl2_148
| spl2_183 ),
inference(sat_conversion,[],[f8327]) ).
cnf(s650,plain,
( ~ spl2_5
| ~ spl2_34
| ~ spl2_120
| spl2_148
| ~ spl2_161 ),
inference(sat_conversion,[],[f8332]) ).
cnf(s663,plain,
( spl2_59
| ~ spl2_67 ),
inference(sat_conversion,[],[f8560]) ).
cnf(s669,plain,
( ~ spl2_27
| spl2_81
| spl2_118 ),
inference(sat_conversion,[],[f8607]) ).
cnf(s680,plain,
( ~ spl2_19
| spl2_104
| spl2_114
| spl2_118 ),
inference(sat_conversion,[],[f8821]) ).
cnf(s687,plain,
( spl2_81
| spl2_118
| spl2_135
| ~ spl2_162 ),
inference(sat_conversion,[],[f8871]) ).
cnf(s688,plain,
( ~ spl2_64
| ~ spl2_80
| spl2_81
| ~ spl2_101
| spl2_118
| ~ spl2_162
| spl2_228 ),
inference(sat_conversion,[],[f8873]) ).
cnf(s689,plain,
( spl2_81
| ~ spl2_155 ),
inference(sat_conversion,[],[f8936]) ).
cnf(s722,plain,
( ~ spl2_165
| spl2_176
| spl2_179 ),
inference(sat_conversion,[],[f9515]) ).
cnf(s735,plain,
( ~ spl2_75
| ~ spl2_78
| ~ spl2_274
| ~ spl2_279
| spl2_282 ),
inference(sat_conversion,[],[f9837]) ).
cnf(s739,plain,
( ~ spl2_78
| ~ spl2_80
| ~ spl2_115
| spl2_118
| ~ spl2_274
| spl2_287 ),
inference(sat_conversion,[],[f9882]) ).
cnf(s743,plain,
( spl2_179
| ~ spl2_285 ),
inference(sat_conversion,[],[f9970]) ).
cnf(s747,plain,
( ~ spl2_18
| spl2_81
| spl2_279
| spl2_280
| spl2_285 ),
inference(sat_conversion,[],[f9992]) ).
cnf(s749,plain,
( ~ spl2_10
| ~ spl2_11
| ~ spl2_280
| spl2_292 ),
inference(sat_conversion,[],[f10011]) ).
cnf(s750,plain,
( ~ spl2_292
| spl2_294
| spl2_295 ),
inference(sat_conversion,[],[f10039]) ).
cnf(s752,plain,
( ~ spl2_292
| ~ spl2_295 ),
inference(sat_conversion,[],[f10057]) ).
cnf(s753,plain,
( spl2_148
| ~ spl2_170
| ~ spl2_295 ),
inference(sat_conversion,[],[f10060]) ).
cnf(s755,plain,
( ~ spl2_105
| ~ spl2_287
| ~ spl2_292 ),
inference(sat_conversion,[],[f10098]) ).
cnf(s758,plain,
( ~ spl2_3
| spl2_104
| ~ spl2_287
| ~ spl2_292 ),
inference(sat_conversion,[],[f10115]) ).
cnf(s762,plain,
( spl2_81
| spl2_124
| ~ spl2_287
| spl2_300 ),
inference(sat_conversion,[],[f10127]) ).
cnf(s772,plain,
( ~ spl2_3
| spl2_183
| ~ spl2_275
| ~ spl2_292 ),
inference(sat_conversion,[],[f10205]) ).
cnf(s775,plain,
( ~ spl2_213
| ~ spl2_275
| ~ spl2_292 ),
inference(sat_conversion,[],[f10209]) ).
cnf(s779,plain,
( spl2_13
| spl2_280
| spl2_305 ),
inference(sat_conversion,[],[f10250]) ).
cnf(s780,plain,
( spl2_148
| ~ spl2_170
| spl2_292 ),
inference(sat_conversion,[],[f10263]) ).
cnf(s782,plain,
( spl2_292
| spl2_307 ),
inference(sat_conversion,[],[f10271]) ).
cnf(s784,plain,
( ~ spl2_26
| ~ spl2_64
| ~ spl2_119
| ~ spl2_145
| spl2_170 ),
inference(sat_conversion,[],[f10275]) ).
cnf(s786,plain,
( ~ spl2_52
| spl2_137
| ~ spl2_275
| ~ spl2_309 ),
inference(sat_conversion,[],[f10283]) ).
cnf(s787,plain,
( ~ spl2_6
| ~ spl2_105
| ~ spl2_125 ),
inference(sat_conversion,[],[f10287]) ).
cnf(s789,plain,
( spl2_10
| ~ spl2_12
| ~ spl2_82
| ~ spl2_133 ),
inference(sat_conversion,[],[f10292]) ).
cnf(s791,plain,
( ~ spl2_26
| ~ spl2_64
| ~ spl2_80
| ~ spl2_135 ),
inference(sat_conversion,[],[f10298]) ).
cnf(s793,plain,
( ~ spl2_3
| spl2_101
| spl2_176
| ~ spl2_212 ),
inference(sat_conversion,[],[f10300]) ).
cnf(s795,plain,
( spl2_10
| ~ spl2_105
| ~ spl2_125 ),
inference(sat_conversion,[],[f10303]) ).
cnf(s797,plain,
( ~ spl2_11
| spl2_58
| ~ spl2_80
| ~ spl2_135 ),
inference(sat_conversion,[],[f10305]) ).
cnf(s804,plain,
( ~ spl2_53
| spl2_115
| ~ spl2_239 ),
inference(sat_conversion,[],[f10320]) ).
cnf(s806,plain,
( ~ spl2_65
| spl2_183
| ~ spl2_208 ),
inference(sat_conversion,[],[f10325]) ).
cnf(s807,plain,
( ~ spl2_3
| ~ spl2_6
| spl2_280
| spl2_314 ),
inference(sat_conversion,[],[f10329]) ).
cnf(s808,plain,
( ~ spl2_78
| ~ spl2_80
| ~ spl2_115
| spl2_315 ),
inference(sat_conversion,[],[f10333]) ).
cnf(s810,plain,
( ~ spl2_78
| ~ spl2_176
| ~ spl2_184 ),
inference(sat_conversion,[],[f10335]) ).
cnf(s812,plain,
( spl2_4
| spl2_62
| spl2_100
| spl2_101 ),
inference(sat_conversion,[],[f10338]) ).
cnf(s817,plain,
( spl2_59
| ~ spl2_80
| spl2_81
| spl2_227
| spl2_318 ),
inference(sat_conversion,[],[f10356]) ).
cnf(s824,plain,
( ~ spl2_4
| ~ spl2_64
| spl2_71 ),
inference(sat_conversion,[],[f10424]) ).
cnf(s829,plain,
( ~ spl2_9
| ~ spl2_64
| spl2_71 ),
inference(sat_conversion,[],[f10453]) ).
cnf(s832,plain,
( spl2_161
| spl2_209 ),
inference(sat_conversion,[],[f10472]) ).
cnf(s846,plain,
( ~ spl2_16
| ~ spl2_209
| ~ spl2_212 ),
inference(sat_conversion,[],[f10557]) ).
cnf(s847,plain,
( spl2_149
| spl2_212 ),
inference(sat_conversion,[],[f10558]) ).
cnf(s853,plain,
( ~ spl2_78
| spl2_128
| spl2_321 ),
inference(sat_conversion,[],[f10604]) ).
cnf(s869,plain,
( spl2_299
| spl2_300 ),
inference(sat_conversion,[],[f10711]) ).
cnf(s872,plain,
( ~ spl2_119
| spl2_292
| ~ spl2_300 ),
inference(sat_conversion,[],[f10724]) ).
cnf(s883,plain,
( ~ spl2_5
| ~ spl2_81
| ~ spl2_104
| ~ spl2_120 ),
inference(sat_conversion,[],[f10834]) ).
cnf(s888,plain,
( spl2_58
| ~ spl2_80
| spl2_146 ),
inference(sat_conversion,[],[f10846]) ).
cnf(s896,plain,
( spl2_59
| spl2_81
| spl2_115
| spl2_124 ),
inference(sat_conversion,[],[f10870]) ).
cnf(s897,plain,
( spl2_59
| spl2_81
| spl2_115
| spl2_227 ),
inference(sat_conversion,[],[f10871]) ).
cnf(s899,plain,
( ~ spl2_8
| ~ spl2_100
| spl2_101 ),
inference(sat_conversion,[],[f10873]) ).
cnf(s902,plain,
( ~ spl2_58
| ~ spl2_105
| spl2_115 ),
inference(sat_conversion,[],[f10883]) ).
cnf(s906,plain,
( ~ spl2_85
| ~ spl2_133 ),
inference(sat_conversion,[],[f10904]) ).
cnf(s908,plain,
( ~ spl2_6
| ~ spl2_128
| ~ spl2_213 ),
inference(sat_conversion,[],[f10907]) ).
cnf(s911,plain,
( ~ spl2_11
| spl2_58
| ~ spl2_149
| ~ spl2_176 ),
inference(sat_conversion,[],[f10911]) ).
cnf(s918,plain,
( ~ spl2_11
| ~ spl2_64
| ~ spl2_137
| spl2_212 ),
inference(sat_conversion,[],[f10927]) ).
cnf(s925,plain,
( ~ spl2_72
| spl2_101 ),
inference(sat_conversion,[],[f10971]) ).
cnf(s926,plain,
( ~ spl2_15
| spl2_58
| spl2_60 ),
inference(sat_conversion,[],[f10978]) ).
cnf(s937,plain,
( ~ spl2_80
| ~ spl2_115
| spl2_318 ),
inference(sat_conversion,[],[f11093]) ).
cnf(s941,plain,
( spl2_280
| spl2_323 ),
inference(sat_conversion,[],[f11120]) ).
cnf(s952,plain,
( ~ spl2_76
| ~ spl2_133
| ~ spl2_213 ),
inference(sat_conversion,[],[f11223]) ).
cnf(s961,plain,
( ~ spl2_16
| spl2_162 ),
inference(sat_conversion,[],[f11283]) ).
cnf(s968,plain,
( spl2_121
| spl2_161
| ~ spl2_275
| ~ spl2_299 ),
inference(sat_conversion,[],[f11354]) ).
cnf(s969,plain,
( ~ spl2_119
| spl2_121
| spl2_161
| ~ spl2_275
| ~ spl2_307 ),
inference(sat_conversion,[],[f11357]) ).
cnf(s972,plain,
( ~ spl2_136
| ~ spl2_137
| ~ spl2_174
| ~ spl2_183 ),
inference(sat_conversion,[],[f11410]) ).
cnf(s973,plain,
( ~ spl2_115
| ~ spl2_137
| ~ spl2_315 ),
inference(sat_conversion,[],[f11444]) ).
cnf(s975,plain,
( ~ spl2_114
| spl2_128
| ~ spl2_315 ),
inference(sat_conversion,[],[f11449]) ).
cnf(s976,plain,
( spl2_59
| ~ spl2_115
| spl2_161
| spl2_179
| ~ spl2_315 ),
inference(sat_conversion,[],[f11452]) ).
cnf(s982,plain,
( spl2_136
| ~ spl2_302
| ~ spl2_323 ),
inference(sat_conversion,[],[f11531]) ).
cnf(s987,plain,
( spl2_24
| ~ spl2_71
| ~ spl2_88
| ~ spl2_120 ),
inference(sat_conversion,[],[f11601]) ).
cnf(s988,plain,
( spl2_24
| spl2_60
| ~ spl2_71
| ~ spl2_120 ),
inference(sat_conversion,[],[f11602]) ).
cnf(s999,plain,
( ~ spl2_64
| ~ spl2_137
| spl2_175
| ~ spl2_334 ),
inference(sat_conversion,[],[f11719]) ).
cnf(s1003,plain,
( ~ spl2_175
| ~ spl2_314
| ~ spl2_335 ),
inference(sat_conversion,[],[f11753]) ).
cnf(s1004,plain,
( ~ spl2_137
| ~ spl2_175
| ~ spl2_183 ),
inference(sat_conversion,[],[f11755]) ).
cnf(s1007,plain,
( ~ spl2_53
| spl2_137
| ~ spl2_242 ),
inference(sat_conversion,[],[f11762]) ).
cnf(s1011,plain,
( ~ spl2_183
| ~ spl2_274
| ~ spl2_307
| ~ spl2_334 ),
inference(sat_conversion,[],[f11797]) ).
cnf(s1022,plain,
( ~ spl2_5
| ~ spl2_120
| ~ spl2_300
| ~ spl2_314 ),
inference(sat_conversion,[],[f11878]) ).
cnf(s1026,plain,
( ~ spl2_122
| spl2_179
| ~ spl2_275
| spl2_338 ),
inference(sat_conversion,[],[f11907]) ).
cnf(s1028,plain,
( ~ spl2_5
| ~ spl2_81
| ~ spl2_300
| ~ spl2_338 ),
inference(sat_conversion,[],[f11920]) ).
cnf(s1030,plain,
( ~ spl2_122
| spl2_132
| ~ spl2_179 ),
inference(sat_conversion,[],[f11978]) ).
cnf(s1031,plain,
( spl2_79
| ~ spl2_179
| ~ spl2_275 ),
inference(sat_conversion,[],[f11980]) ).
cnf(s1033,plain,
( ~ spl2_52
| spl2_72
| spl2_74
| ~ spl2_179 ),
inference(sat_conversion,[],[f11983]) ).
cnf(s1034,plain,
( spl2_101
| ~ spl2_179
| ~ spl2_183 ),
inference(sat_conversion,[],[f11986]) ).
cnf(s1035,plain,
( spl2_74
| ~ spl2_176
| ~ spl2_179 ),
inference(sat_conversion,[],[f11987]) ).
cnf(s1044,plain,
( spl2_62
| spl2_101
| spl2_120
| ~ spl2_164 ),
inference(sat_conversion,[],[f12031]) ).
cnf(s1056,plain,
( spl2_58
| ~ spl2_59
| ~ spl2_119 ),
inference(sat_conversion,[],[f12076]) ).
cnf(s1059,plain,
( spl2_62
| spl2_65
| spl2_101 ),
inference(sat_conversion,[],[f12106]) ).
cnf(s1071,plain,
( ~ spl2_104
| ~ spl2_115
| ~ spl2_175 ),
inference(sat_conversion,[],[f12207]) ).
cnf(s1085,plain,
( ~ spl2_295
| spl2_300 ),
inference(sat_conversion,[],[f12291]) ).
cnf(s1096,plain,
( ~ spl2_1
| spl2_183
| ~ spl2_242 ),
inference(sat_conversion,[],[f12397]) ).
cnf(s1113,plain,
( spl2_74
| ~ spl2_80
| ~ spl2_227 ),
inference(sat_conversion,[],[f12570]) ).
cnf(s1118,plain,
( spl2_74
| ~ spl2_115
| ~ spl2_227 ),
inference(sat_conversion,[],[f12576]) ).
cnf(s1119,plain,
( ~ spl2_81
| spl2_161
| ~ spl2_227 ),
inference(sat_conversion,[],[f12578]) ).
cnf(s1121,plain,
( spl2_66
| spl2_74
| ~ spl2_227 ),
inference(sat_conversion,[],[f12581]) ).
cnf(s1138,plain,
( ~ spl2_77
| ~ spl2_209
| ~ spl2_239 ),
inference(sat_conversion,[],[f12692]) ).
cnf(s1147,plain,
( ~ spl2_77
| spl2_81
| spl2_124
| spl2_161 ),
inference(sat_conversion,[],[f12708]) ).
cnf(s1148,plain,
( spl2_13
| ~ spl2_125
| spl2_239 ),
inference(sat_conversion,[],[f12731]) ).
cnf(s1154,plain,
( ~ spl2_76
| ~ spl2_82
| spl2_121
| spl2_161 ),
inference(sat_conversion,[],[f12790]) ).
cnf(s1155,plain,
( ~ spl2_76
| spl2_81
| spl2_121
| spl2_161 ),
inference(sat_conversion,[],[f12793]) ).
cnf(s1184,plain,
( ~ spl2_104
| ~ spl2_183
| ~ spl2_315 ),
inference(sat_conversion,[],[f13081]) ).
cnf(s1185,plain,
( ~ spl2_75
| ~ spl2_274
| ~ spl2_282 ),
inference(sat_conversion,[],[f13105]) ).
cnf(s1188,plain,
( ~ spl2_174
| ~ spl2_280
| ~ spl2_314
| ~ spl2_335 ),
inference(sat_conversion,[],[f13113]) ).
cnf(s1200,plain,
( spl2_81
| ~ spl2_290
| spl2_295
| spl2_300 ),
inference(sat_conversion,[],[f13175]) ).
cnf(s1216,plain,
( ~ spl2_100
| ~ spl2_292
| spl2_339 ),
inference(sat_conversion,[],[f13330]) ).
cnf(s1223,plain,
( ~ spl2_1
| spl2_104
| ~ spl2_239 ),
inference(sat_conversion,[],[f13364]) ).
cnf(s1228,plain,
( spl2_5
| spl2_6
| ~ spl2_120 ),
inference(sat_conversion,[],[f13378]) ).
cnf(s1229,plain,
( spl2_227
| spl2_274
| spl2_275 ),
inference(sat_conversion,[],[f13387]) ).
cnf(s1230,plain,
( spl2_227
| spl2_276
| spl2_277 ),
inference(sat_conversion,[],[f13388]) ).
cnf(s1231,plain,
( spl2_5
| ~ spl2_81
| spl2_125 ),
inference(sat_conversion,[],[f13396]) ).
cnf(s1254,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_300
| ~ spl2_339 ),
inference(sat_conversion,[],[f13562]) ).
cnf(s1255,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_101
| ~ spl2_120 ),
inference(sat_conversion,[],[f13564]) ).
cnf(s1256,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_74 ),
inference(sat_conversion,[],[f13566]) ).
cnf(s1257,plain,
( ~ spl2_101
| ~ spl2_179
| spl2_183 ),
inference(sat_conversion,[],[f13623]) ).
cnf(s1259,plain,
( spl2_64
| ~ spl2_149
| ~ spl2_179 ),
inference(sat_conversion,[],[f13625]) ).
cnf(s1260,plain,
( spl2_81
| ~ spl2_179
| ~ spl2_300 ),
inference(sat_conversion,[],[f13627]) ).
cnf(s1280,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_80
| ~ spl2_81 ),
inference(sat_conversion,[],[f13782]) ).
cnf(s1281,plain,
( ~ spl2_13
| ~ spl2_128 ),
inference(sat_conversion,[],[f13787]) ).
cnf(s1287,plain,
( ~ spl2_13
| ~ spl2_125 ),
inference(sat_conversion,[],[f13794]) ).
cnf(s1288,plain,
( ~ spl2_223
| ~ spl2_298
| spl2_335 ),
inference(sat_conversion,[],[f13796]) ).
cnf(s1289,plain,
( ~ spl2_18
| spl2_104
| spl2_114
| spl2_118
| spl2_120 ),
inference(sat_conversion,[],[f13798]) ).
cnf(s1290,plain,
( ~ spl2_18
| spl2_120
| spl2_136
| spl2_148
| spl2_183 ),
inference(sat_conversion,[],[f13799]) ).
cnf(s1297,plain,
( ~ spl2_38
| spl2_114 ),
inference(sat_conversion,[],[f13874]) ).
cnf(s1311,plain,
( spl2_295
| spl2_339
| spl2_358 ),
inference(sat_conversion,[],[f13995]) ).
cnf(s1320,plain,
( ~ spl2_58
| spl2_137
| ~ spl2_213 ),
inference(sat_conversion,[],[f14095]) ).
cnf(s1326,plain,
( ~ spl2_78
| ~ spl2_104
| ~ spl2_115
| ~ spl2_177 ),
inference(sat_conversion,[],[f14231]) ).
cnf(s1330,plain,
( ~ spl2_287
| spl2_295
| spl2_298 ),
inference(sat_conversion,[],[f14238]) ).
cnf(s1333,plain,
( spl2_5
| ~ spl2_59
| spl2_60 ),
inference(sat_conversion,[],[f14241]) ).
cnf(s1338,plain,
( spl2_13
| ~ spl2_60
| spl2_145 ),
inference(sat_conversion,[],[f14263]) ).
cnf(s1344,plain,
( ~ spl2_287
| ~ spl2_295 ),
inference(sat_conversion,[],[f14303]) ).
cnf(s1346,plain,
( ~ spl2_275
| ~ spl2_295 ),
inference(sat_conversion,[],[f14306]) ).
cnf(s1357,plain,
( spl2_5
| spl2_128
| ~ spl2_161 ),
inference(sat_conversion,[],[f14384]) ).
cnf(s1371,plain,
( ~ spl2_64
| ~ spl2_115
| spl2_175
| ~ spl2_353 ),
inference(sat_conversion,[],[f14646]) ).
cnf(s1374,plain,
( ~ spl2_78
| ~ spl2_104
| ~ spl2_149
| ~ spl2_353 ),
inference(sat_conversion,[],[f14687]) ).
cnf(s1381,plain,
( ~ spl2_10
| spl2_24
| spl2_125
| ~ spl2_353 ),
inference(sat_conversion,[],[f14701]) ).
cnf(s1398,plain,
( ~ spl2_3
| ~ spl2_58
| spl2_104
| spl2_115 ),
inference(sat_conversion,[],[f14817]) ).
cnf(s1400,plain,
( spl2_77
| spl2_78
| spl2_227 ),
inference(sat_conversion,[],[f14819]) ).
cnf(s1409,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_137
| ~ spl2_161 ),
inference(sat_conversion,[],[f14885]) ).
cnf(s1418,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_161
| ~ spl2_176 ),
inference(sat_conversion,[],[f14948]) ).
cnf(s1419,plain,
( spl2_13
| ~ spl2_125
| spl2_239 ),
inference(sat_conversion,[],[f14965]) ).
cnf(s1432,plain,
( ~ spl2_295
| spl2_339 ),
inference(sat_conversion,[],[f15076]) ).
cnf(s1435,plain,
( ~ spl2_101
| ~ spl2_104
| ~ spl2_184 ),
inference(sat_conversion,[],[f15112]) ).
cnf(s1437,plain,
( ~ spl2_1
| ~ spl2_305
| spl2_314 ),
inference(sat_conversion,[],[f15125]) ).
cnf(s1447,plain,
( ~ spl2_75
| ~ spl2_114
| ~ spl2_136
| ~ spl2_240 ),
inference(sat_conversion,[],[f15304]) ).
cnf(s1459,plain,
( ~ spl2_10
| spl2_24
| ~ spl2_114
| ~ spl2_353 ),
inference(sat_conversion,[],[f15429]) ).
cnf(s1464,plain,
( ~ spl2_104
| ~ spl2_307
| ~ spl2_338
| ~ spl2_353 ),
inference(sat_conversion,[],[f15465]) ).
cnf(s1466,plain,
( ~ spl2_100
| spl2_176
| ~ spl2_212 ),
inference(sat_conversion,[],[f15469]) ).
cnf(s1473,plain,
( spl2_4
| ~ spl2_58
| spl2_59
| spl2_120 ),
inference(sat_conversion,[],[f15482]) ).
cnf(s1474,plain,
( spl2_59
| spl2_62
| spl2_64
| ~ spl2_162 ),
inference(sat_conversion,[],[f15483]) ).
cnf(s1497,plain,
( ~ spl2_52
| spl2_72
| spl2_74
| ~ spl2_306 ),
inference(sat_conversion,[],[f15684]) ).
cnf(s1500,plain,
( spl2_8
| spl2_21
| ~ spl2_306 ),
inference(sat_conversion,[],[f15689]) ).
cnf(s1507,plain,
( ~ spl2_1
| spl2_101
| ~ spl2_145 ),
inference(sat_conversion,[],[f15766]) ).
cnf(s1508,plain,
( ~ spl2_101
| ~ spl2_104
| spl2_175
| ~ spl2_318 ),
inference(sat_conversion,[],[f15767]) ).
cnf(s1510,plain,
( ~ spl2_115
| ~ spl2_318
| ~ spl2_338
| ~ spl2_339 ),
inference(sat_conversion,[],[f15798]) ).
cnf(s1514,plain,
( ~ spl2_5
| ~ spl2_161
| ~ spl2_274
| ~ spl2_300 ),
inference(sat_conversion,[],[f15809]) ).
cnf(s1515,plain,
( ~ spl2_302
| spl2_314
| ~ spl2_369 ),
inference(sat_conversion,[],[f15813]) ).
cnf(s1519,plain,
( ~ spl2_302
| spl2_335
| ~ spl2_370 ),
inference(sat_conversion,[],[f15821]) ).
cnf(s1527,plain,
( ~ spl2_114
| spl2_133
| spl2_147 ),
inference(sat_conversion,[],[f15874]) ).
cnf(s1532,plain,
( ~ spl2_79
| spl2_124
| spl2_132 ),
inference(sat_conversion,[],[f15912]) ).
cnf(s1533,plain,
( ~ spl2_79
| ~ spl2_82
| ~ spl2_145 ),
inference(sat_conversion,[],[f15913]) ).
cnf(s1546,plain,
( spl2_137
| spl2_370 ),
inference(sat_conversion,[],[f16019]) ).
cnf(s1548,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_81
| ~ spl2_115 ),
inference(sat_conversion,[],[f16042]) ).
cnf(s1551,plain,
( spl2_292
| ~ spl2_314
| spl2_347 ),
inference(sat_conversion,[],[f16048]) ).
cnf(s1553,plain,
( spl2_59
| spl2_67
| spl2_164 ),
inference(sat_conversion,[],[f16062]) ).
cnf(s1557,plain,
( spl2_105
| spl2_124
| ~ spl2_133 ),
inference(sat_conversion,[],[f16096]) ).
cnf(s1560,plain,
( spl2_121
| ~ spl2_212
| spl2_213 ),
inference(sat_conversion,[],[f16143]) ).
cnf(s1573,plain,
( spl2_51
| spl2_115
| spl2_132 ),
inference(sat_conversion,[],[f16252]) ).
cnf(s1585,plain,
( ~ spl2_133
| ~ spl2_290
| ~ spl2_294 ),
inference(sat_conversion,[],[f16430]) ).
cnf(s1587,plain,
( spl2_6
| ~ spl2_26
| spl2_119 ),
inference(sat_conversion,[],[f16433]) ).
cnf(s1591,plain,
( spl2_4
| spl2_120
| ~ spl2_292
| spl2_300 ),
inference(sat_conversion,[],[f16442]) ).
cnf(s1594,plain,
( spl2_10
| ~ spl2_18
| spl2_300
| spl2_306
| spl2_307 ),
inference(sat_conversion,[],[f16445]) ).
cnf(s1596,plain,
( spl2_4
| spl2_120
| spl2_161
| ~ spl2_212 ),
inference(sat_conversion,[],[f16447]) ).
cnf(s1602,plain,
( ~ spl2_104
| spl2_133
| spl2_353 ),
inference(sat_conversion,[],[f16495]) ).
cnf(s1603,plain,
( ~ spl2_121
| ~ spl2_212 ),
inference(sat_conversion,[],[f16502]) ).
cnf(s1608,plain,
( ~ spl2_26
| ~ spl2_64
| ~ spl2_307
| ~ spl2_339 ),
inference(sat_conversion,[],[f16507]) ).
cnf(s1609,plain,
( ~ spl2_26
| ~ spl2_135
| spl2_263 ),
inference(sat_conversion,[],[f16514]) ).
cnf(s1614,plain,
( ~ spl2_77
| spl2_121
| spl2_122 ),
inference(sat_conversion,[],[f16611]) ).
cnf(s1625,plain,
( spl2_51
| spl2_59
| spl2_300
| spl2_339 ),
inference(sat_conversion,[],[f16653]) ).
cnf(s1629,plain,
( spl2_183
| spl2_369 ),
inference(sat_conversion,[],[f16657]) ).
cnf(s1630,plain,
( ~ spl2_3
| ~ spl2_79
| spl2_101
| ~ spl2_133 ),
inference(sat_conversion,[],[f16659]) ).
cnf(s1638,plain,
( spl2_118
| spl2_287
| spl2_338 ),
inference(sat_conversion,[],[f16767]) ).
cnf(s1641,plain,
( ~ spl2_132
| ~ spl2_287
| spl2_339 ),
inference(sat_conversion,[],[f16792]) ).
cnf(s1644,plain,
( ~ spl2_52
| spl2_115
| ~ spl2_287
| spl2_339 ),
inference(sat_conversion,[],[f16796]) ).
cnf(s1649,plain,
( spl2_148
| spl2_309
| spl2_339 ),
inference(sat_conversion,[],[f16809]) ).
cnf(s1655,plain,
( ~ spl2_88
| ~ spl2_281
| ~ spl2_339 ),
inference(sat_conversion,[],[f16866]) ).
cnf(s1661,plain,
( ~ spl2_277
| ~ spl2_314
| ~ spl2_361 ),
inference(sat_conversion,[],[f16985]) ).
cnf(s1664,plain,
( ~ spl2_77
| ~ spl2_276
| ~ spl2_298 ),
inference(sat_conversion,[],[f17017]) ).
cnf(s1669,plain,
( ~ spl2_75
| ~ spl2_136
| ~ spl2_274
| ~ spl2_278 ),
inference(sat_conversion,[],[f17049]) ).
cnf(s1671,plain,
( ~ spl2_65
| spl2_314
| ~ spl2_358 ),
inference(sat_conversion,[],[f17070]) ).
cnf(s1675,plain,
( ~ spl2_64
| spl2_175
| ~ spl2_335
| ~ spl2_347 ),
inference(sat_conversion,[],[f17117]) ).
cnf(s1676,plain,
( ~ spl2_149
| ~ spl2_277
| ~ spl2_347
| spl2_361 ),
inference(sat_conversion,[],[f17118]) ).
cnf(s1679,plain,
( ~ spl2_88
| ~ spl2_137
| spl2_258
| ~ spl2_321 ),
inference(sat_conversion,[],[f17219]) ).
cnf(s1680,plain,
( ~ spl2_274
| spl2_278
| ~ spl2_280
| ~ spl2_321 ),
inference(sat_conversion,[],[f17220]) ).
cnf(s1681,plain,
( ~ spl2_59
| spl2_60
| ~ spl2_280
| spl2_281
| ~ spl2_339 ),
inference(sat_conversion,[],[f17260]) ).
cnf(s1683,plain,
( ~ spl2_52
| ~ spl2_77
| spl2_115
| ~ spl2_224 ),
inference(sat_conversion,[],[f17262]) ).
cnf(s1686,plain,
( ~ spl2_65
| spl2_104
| ~ spl2_132 ),
inference(sat_conversion,[],[f17265]) ).
cnf(s1688,plain,
( ~ spl2_59
| ~ spl2_137
| spl2_174
| ~ spl2_320 ),
inference(sat_conversion,[],[f17267]) ).
cnf(s1691,plain,
( ~ spl2_122
| spl2_183
| ~ spl2_214 ),
inference(sat_conversion,[],[f17270]) ).
cnf(s1693,plain,
( ~ spl2_214
| ~ spl2_298
| spl2_314 ),
inference(sat_conversion,[],[f17272]) ).
cnf(s1696,plain,
( ~ spl2_77
| ~ spl2_132
| ~ spl2_224 ),
inference(sat_conversion,[],[f17276]) ).
cnf(s1698,plain,
( ~ spl2_59
| spl2_174
| ~ spl2_293
| ~ spl2_335 ),
inference(sat_conversion,[],[f17281]) ).
cnf(s1699,plain,
( ~ spl2_10
| spl2_125
| ~ spl2_263 ),
inference(sat_conversion,[],[f17282]) ).
cnf(s1702,plain,
( ~ spl2_58
| ~ spl2_118
| spl2_212 ),
inference(sat_conversion,[],[f17352]) ).
cnf(s1703,plain,
( ~ spl2_5
| ~ spl2_81
| ~ spl2_118
| spl2_119 ),
inference(sat_conversion,[],[f17353]) ).
cnf(s1705,plain,
( ~ spl2_59
| ~ spl2_118
| spl2_161 ),
inference(sat_conversion,[],[f17355]) ).
cnf(s1710,plain,
( ~ spl2_3
| spl2_21
| spl2_85
| ~ spl2_118 ),
inference(sat_conversion,[],[f17362]) ).
cnf(s1713,plain,
( spl2_80
| ~ spl2_118
| ~ spl2_274 ),
inference(sat_conversion,[],[f17366]) ).
cnf(s1716,plain,
( spl2_64
| ~ spl2_118
| ~ spl2_149 ),
inference(sat_conversion,[],[f17369]) ).
cnf(s1717,plain,
( spl2_80
| ~ spl2_118
| ~ spl2_339 ),
inference(sat_conversion,[],[f17371]) ).
cnf(s1726,plain,
( ~ spl2_6
| spl2_13
| spl2_16 ),
inference(sat_conversion,[],[f17389]) ).
cnf(s1727,plain,
( spl2_4
| ~ spl2_6
| spl2_19 ),
inference(sat_conversion,[],[f17390]) ).
cnf(s1729,plain,
( spl2_34
| spl2_120
| spl2_162 ),
inference(sat_conversion,[],[f17406]) ).
cnf(s1740,plain,
( ~ spl2_3
| ~ spl2_6
| ~ spl2_128
| spl2_183 ),
inference(sat_conversion,[],[f17478]) ).
cnf(s1741,plain,
( spl2_118
| spl2_133
| spl2_135 ),
inference(sat_conversion,[],[f17483]) ).
cnf(s1751,plain,
( ~ spl2_280
| spl2_292
| spl2_293 ),
inference(sat_conversion,[],[f17570]) ).
cnf(s1757,plain,
( spl2_121
| spl2_176
| spl2_208 ),
inference(sat_conversion,[],[f17624]) ).
cnf(s1767,plain,
( ~ spl2_78
| ~ spl2_149
| ~ spl2_263 ),
inference(sat_conversion,[],[f17722]) ).
cnf(s1768,plain,
( ~ spl2_183
| spl2_212
| spl2_334 ),
inference(sat_conversion,[],[f17723]) ).
cnf(s1769,plain,
( ~ spl2_51
| spl2_115 ),
inference(sat_conversion,[],[f17733]) ).
cnf(s1774,plain,
( spl2_51
| ~ spl2_58
| spl2_100 ),
inference(sat_conversion,[],[f17764]) ).
cnf(s1778,plain,
( ~ spl2_115
| spl2_133
| spl2_134 ),
inference(sat_conversion,[],[f17795]) ).
cnf(s1782,plain,
( spl2_292
| spl2_306
| spl2_307 ),
inference(sat_conversion,[],[f17824]) ).
cnf(s1794,plain,
( ~ spl2_5
| ~ spl2_59
| ~ spl2_300
| ~ spl2_335 ),
inference(sat_conversion,[],[f17960]) ).
cnf(s1799,plain,
( ~ spl2_208
| ~ spl2_275
| spl2_339 ),
inference(sat_conversion,[],[f18020]) ).
cnf(s1801,plain,
( ~ spl2_136
| spl2_212
| spl2_320 ),
inference(sat_conversion,[],[f18028]) ).
cnf(s1804,plain,
( ~ spl2_13
| spl2_280 ),
inference(sat_conversion,[],[f18049]) ).
cnf(s1809,plain,
( spl2_118
| spl2_279
| spl2_290 ),
inference(sat_conversion,[],[f18085]) ).
cnf(s1812,plain,
( spl2_124
| ~ spl2_290
| spl2_298 ),
inference(sat_conversion,[],[f18105]) ).
cnf(s1813,plain,
( ~ spl2_52
| ~ spl2_79
| ~ spl2_290
| spl2_335 ),
inference(sat_conversion,[],[f18106]) ).
cnf(s1814,plain,
( ~ spl2_275
| spl2_295
| spl2_302 ),
inference(sat_conversion,[],[f18123]) ).
cnf(s1818,plain,
( spl2_121
| ~ spl2_276
| spl2_302 ),
inference(sat_conversion,[],[f18143]) ).
cnf(s1827,plain,
( ~ spl2_75
| spl2_128
| ~ spl2_137
| ~ spl2_258 ),
inference(sat_conversion,[],[f18259]) ).
cnf(s1829,plain,
( spl2_13
| ~ spl2_128
| spl2_242 ),
inference(sat_conversion,[],[f18276]) ).
cnf(s1834,plain,
( ~ spl2_75
| ~ spl2_135
| spl2_228
| ~ spl2_334 ),
inference(sat_conversion,[],[f18360]) ).
cnf(s1835,plain,
( ~ spl2_75
| ~ spl2_183
| ~ spl2_228 ),
inference(sat_conversion,[],[f18374]) ).
cnf(s1844,plain,
( ~ spl2_12
| spl2_80
| spl2_81
| spl2_88 ),
inference(rat,[],[s149,s251]) ).
cnf(s1846,plain,
( ~ spl2_12
| spl2_59
| spl2_114
| spl2_115 ),
inference(rat,[],[s147,s251]) ).
cnf(s1859,plain,
( ~ spl2_6
| spl2_51
| ~ spl2_60
| spl2_64 ),
inference(rat,[],[s70,s251]) ).
cnf(s1865,plain,
( spl2_26
| ~ spl2_6
| spl2_5
| ~ spl2_9 ),
inference(rat,[],[s172,s189,s25,s21,s1726,s27]) ).
cnf(s1866,plain,
( ~ spl2_133
| spl2_105 ),
inference(rat,[],[s1557,s292]) ).
cnf(s1867,plain,
( ~ spl2_80
| ~ spl2_135
| ~ spl2_60
| ~ spl2_26
| ~ spl2_6 ),
inference(rat,[],[s297,s1859,s797,s791,s278]) ).
cnf(s1868,plain,
( ~ spl2_79
| spl2_132 ),
inference(rat,[],[s211,s1532]) ).
cnf(s1870,plain,
( spl2_133
| ~ spl2_80
| spl2_118
| ~ spl2_26
| ~ spl2_6
| spl2_5 ),
inference(rat,[],[s1333,s1474,s1867,s289,s1741,s961,s1726,s27,s251]) ).
cnf(s1871,plain,
( ~ spl2_133
| spl2_10
| ~ spl2_12
| spl2_5 ),
inference(rat,[],[s1231,s795,s315,s1866,s789]) ).
cnf(s1872,plain,
( spl2_24
| ~ spl2_132
| spl2_133
| spl2_5
| ~ spl2_4
| ~ spl2_120 ),
inference(rat,[],[s824,s1474,s988,s1333,s481,s610,s1527,s381,s525,s155,s961,s1726,s27,s1228,s251]) ).
cnf(s1873,plain,
( ~ spl2_132
| spl2_133
| spl2_5
| ~ spl2_4
| ~ spl2_120 ),
inference(rat,[],[s481,s420,s610,s340,s382,s1872,s525,s155]) ).
cnf(s1874,plain,
( spl2_133
| spl2_5
| ~ spl2_4
| ~ spl2_120 ),
inference(rat,[],[s1333,s1474,s1867,s289,s256,s1868,s490,s1873,s961,s1726,s27,s1865,s1228,s155,s251]) ).
cnf(s1875,plain,
( spl2_5
| ~ spl2_4
| ~ spl2_120 ),
inference(rat,[],[s687,s395,s1609,s1231,s1699,s787,s1871,s1866,s1874,s1865,s961,s8,s1726,s27,s1228,s155]) ).
cnf(s1876,plain,
( ~ spl2_16
| ~ spl2_80
| spl2_133
| ~ spl2_4
| ~ spl2_120 ),
inference(rat,[],[s1767,s847,s257,s846,s1147,s832,s650,s636,s925,s59,s1255,s1256,s297,s1474,s797,s289,s1609,s278,s22,s961,s154,s669,s395,s294,s689,s883,s1875,s525,s155,s490,s251]) ).
cnf(s1877,plain,
( ~ spl2_6
| spl2_16 ),
inference(rat,[],[s1726,s27]) ).
cnf(s1878,plain,
( ~ spl2_275
| ~ spl2_213
| spl2_161
| spl2_306
| ~ spl2_119 ),
inference(rat,[],[s1782,s969,s775,s529]) ).
cnf(s1879,plain,
( ~ spl2_59
| ~ spl2_263
| ~ spl2_18
| ~ spl2_52
| ~ spl2_100
| ~ spl2_125
| ~ spl2_11
| ~ spl2_10
| ~ spl2_80
| ~ spl2_4
| ~ spl2_120 ),
inference(rat,[],[s1681,s1655,s1216,s749,s747,s735,s1185,s1229,s1878,s420,s1560,s614,s847,s808,s1767,s298,s257,s1155,s1147,s529,s1184,s650,s648,s743,s1497,s636,s1033,s925,s1113,s1255,s1256,s154,s248,s294,s689,s883,s1875,s525,s155,s251]) ).
cnf(s1880,plain,
( ~ spl2_115
| ~ spl2_100
| ~ spl2_80
| ~ spl2_4
| ~ spl2_120 ),
inference(rat,[],[s257,s808,s1147,s1184,s650,s648,s639,s899,s1508,s937,s1071,s154,s248,s294,s689,s883,s1875,s525,s155,s251]) ).
cnf(s1881,plain,
( ~ spl2_80
| spl2_133
| ~ spl2_4
| spl2_1 ),
inference(rat,[],[s21,s1609,s197,s1879,s311,s1846,s1880,s8,s13,s424,s59,s1774,s610,s1297,s297,s496,s797,s6,s281,s7,s1877,s1876,s335,s155,s498,s490]) ).
cnf(s1882,plain,
( spl2_6
| spl2_133
| ~ spl2_4
| spl2_1 ),
inference(rat,[],[s1200,s752,s1794,s749,s1813,s747,s1809,s735,s1185,s1229,s1878,s1560,s847,s1767,s298,s257,s1155,s1147,s529,s1609,s650,s743,s21,s1497,s636,s1033,s589,s197,s925,s311,s1255,s1256,s520,s59,s297,s926,s13,s481,s424,s610,s1297,s470,s496,s6,s281,s7,s154,s335,s248,s395,s294,s689,s883,s1875,s525,s155,s498,s490,s1868,s256,s1881,s251]) ).
cnf(s1883,plain,
( spl2_133
| ~ spl2_4
| spl2_1 ),
inference(rat,[],[s1767,s847,s257,s846,s1147,s832,s650,s636,s925,s59,s1255,s1256,s297,s1474,s268,s824,s987,s340,s1609,s1844,s22,s961,s8,s1877,s27,s1882,s1881,s490,s154,s669,s395,s294,s689,s883,s1875,s525,s155,s498,s251]) ).
cnf(s1884,plain,
( ~ spl2_58
| ~ spl2_80
| ~ spl2_105
| ~ spl2_4
| ~ spl2_120 ),
inference(rat,[],[s1880,s1774,s902,s297]) ).
cnf(s1885,plain,
( ~ spl2_80
| ~ spl2_133
| ~ spl2_4
| ~ spl2_120 ),
inference(rat,[],[s1155,s298,s529,s1835,s650,s648,s636,s925,s527,s1508,s564,s278,s1071,s59,s829,s21,s817,s897,s65,s268,s301,s597,s1056,s1884,s154,s883,s525,s155,s248,s1875,s1866,s251]) ).
cnf(s1886,plain,
( ~ spl2_59
| ~ spl2_79
| spl2_81
| ~ spl2_5
| ~ spl2_34
| ~ spl2_120 ),
inference(rat,[],[s1200,s1085,s1794,s1813,s1809,s735,s1185,s1229,s1878,s1560,s1768,s1834,s1835,s298,s257,s1155,s1147,s529,s650,s648,s1497,s636,s219,s59,s1774,s589,s297,s925,s1056,s1255,s1256,s248,s395,s294,s689,s1868,s251]) ).
cnf(s1887,plain,
( ~ spl2_79
| spl2_81
| ~ spl2_120
| ~ spl2_5
| ~ spl2_34 ),
inference(rat,[],[s520,s65,s1886]) ).
cnf(s1888,plain,
( ~ spl2_4
| spl2_1 ),
inference(rat,[],[s1887,s256,s1885,s1883,s883,s1875,s525,s154,s155,s498,s251]) ).
cnf(s1889,plain,
( ~ spl2_34
| ~ spl2_353
| ~ spl2_104
| spl2_148
| ~ spl2_59
| ~ spl2_80
| spl2_81
| ~ spl2_5
| ~ spl2_120 ),
inference(rat,[],[s1200,s1085,s1794,s1288,s1812,s1809,s735,s1185,s1229,s1878,s1560,s847,s551,s1374,s808,s298,s257,s1155,s1147,s529,s1184,s650,s648,s395,s294,s689,s1113,s1497,s59,s297,s1056,s248,s1256,s925,s1255,s251]) ).
cnf(s1890,plain,
( spl2_279
| ~ spl2_18
| ~ spl2_11
| ~ spl2_10
| spl2_285
| ~ spl2_100
| ~ spl2_59
| spl2_118
| spl2_81
| ~ spl2_5 ),
inference(rat,[],[s1200,s1254,s752,s1216,s749,s747,s1809]) ).
cnf(s1891,plain,
( spl2_161
| ~ spl2_279
| ~ spl2_353
| ~ spl2_104
| spl2_306
| spl2_227
| spl2_81
| ~ spl2_119 ),
inference(rat,[],[s735,s1185,s1229,s1878,s1560,s847,s1374,s298,s257,s1155,s1147,s529,s294,s689,s251]) ).
cnf(s1892,plain,
( ~ spl2_161
| ~ spl2_100
| ~ spl2_59
| ~ spl2_119
| ~ spl2_5 ),
inference(rat,[],[s1466,s1418,s541]) ).
cnf(s1893,plain,
( ~ spl2_104
| spl2_227
| ~ spl2_59
| spl2_133
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s424,s13,s1297,s1890,s496,s6,s7,s1877,s846,s847,s1374,s1891,s1602,s395,s1497,s743,s1033,s59,s297,s1056,s1256,s925,s832,s257,s1147,s1892,s812,s1255,s1888,s294,s689,s492,s248,s498,s251]) ).
cnf(s1894,plain,
( ~ spl2_275
| ~ spl2_370
| spl2_161
| ~ spl2_59
| ~ spl2_5 ),
inference(rat,[],[s1794,s1519,s869,s1814,s968,s1346,s529]) ).
cnf(s1895,plain,
( ~ spl2_59
| ~ spl2_80
| spl2_133
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s872,s762,s758,s739,s1229,s1894,s1546,s973,s808,s1398,s1893,s257,s1147,s1892,s812,s1113,s1056,s1255,s1256,s2,s1888,s395,s294,s689,s492,s248,s498,s251]) ).
cnf(s1896,plain,
( spl2_300
| ~ spl2_318
| spl2_59
| spl2_118
| spl2_81 ),
inference(rat,[],[s1510,s1638,s1625,s762,s65,s896,s294,s689]) ).
cnf(s1897,plain,
( spl2_161
| spl2_179
| spl2_59
| ~ spl2_80
| spl2_81 ),
inference(rat,[],[s808,s257,s976,s1147,s896,s294,s689,s251]) ).
cnf(s1898,plain,
( ~ spl2_80
| spl2_133
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s1229,s772,s1514,s558,s593,s1897,s872,s1260,s1896,s937,s896,s1895,s2,s1888,s395,s294,s689,s492,s248,s498]) ).
cnf(s1899,plain,
( ~ spl2_59
| spl2_133
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s1893,s1686,s589,s1059,s925,s1255,s498,s1868,s256,s1898,s251]) ).
cnf(s1900,plain,
( spl2_133
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s520,s65,s1899,s256,s1898,s492,s248,s498,s251]) ).
cnf(s1901,plain,
( ~ spl2_59
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s872,s755,s762,s739,s1229,s1894,s1546,s973,s808,s257,s1147,s1548,s1118,s256,s1892,s383,s902,s1630,s812,s1059,s1056,s1255,s1256,s2,s1888,s248,s498,s292,s1866,s1900,s251]) ).
cnf(s1902,plain,
( spl2_81
| ~ spl2_80
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s1229,s772,s1514,s558,s593,s1897,s872,s1260,s1896,s937,s896,s395,s2,s1888,s248,s498,s292,s1900,s1901]) ).
cnf(s1903,plain,
( spl2_115
| ~ spl2_176
| spl2_227
| spl2_104
| ~ spl2_80
| spl2_51
| ~ spl2_105 ),
inference(rat,[],[s276,s911,s1400,s278,s810,s352,s370,s1059,s268,s888,s1686,s902,s1573,s251]) ).
cnf(s1904,plain,
( ~ spl2_58
| ~ spl2_11
| spl2_170
| spl2_292
| ~ spl2_179
| spl2_137
| spl2_121
| ~ spl2_53
| ~ spl2_119
| ~ spl2_120 ),
inference(rat,[],[s345,s8,s343,s1804,s1259,s749,s847,s7,s1560,s1877,s1320,s208]) ).
cnf(s1905,plain,
( ~ spl2_11
| spl2_170
| spl2_292
| ~ spl2_74
| ~ spl2_179
| spl2_137
| spl2_121
| ~ spl2_53
| ~ spl2_119
| ~ spl2_120 ),
inference(rat,[],[s527,s268,s1904,s251]) ).
cnf(s1906,plain,
( ~ spl2_78
| spl2_101
| spl2_118
| spl2_161
| ~ spl2_80
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s975,s610,s1740,s795,s7,s6,s1905,s780,s755,s739,s1229,s1034,s1035,s1031,s976,s973,s808,s639,s522,s906,s248,s143,s529,s1903,s451,s832,s1119,s883,s1902,s498,s65,s1901,s1866,s1630,s2,s1888,s1900]) ).
cnf(s1907,plain,
( ~ spl2_275
| spl2_179
| ~ spl2_122
| spl2_161
| ~ spl2_81
| ~ spl2_5 ),
inference(rat,[],[s1028,s869,s1026,s968,s529]) ).
cnf(s1908,plain,
( spl2_101
| spl2_118
| spl2_161
| ~ spl2_80
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s1510,s1638,s1216,s755,s782,s1011,s1229,s1907,s1768,s1691,s1030,s487,s1614,s1400,s1906,s1686,s812,s1059,s2,s1888,s563,s529,s937,s1903,s451,s832,s1119,s883,s1902,s498,s65,s1901,s1866,s1900,s251]) ).
cnf(s1909,plain,
( ~ spl2_78
| spl2_118
| spl2_161
| ~ spl2_80
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s755,s1905,s739,s347,s6,s1229,s847,s7,s1031,s1560,s1877,s219,s1320,s208,s1774,s888,s1035,s370,s976,s973,s810,s808,s143,s452,s248,s529,s1903,s451,s832,s1119,s883,s1902,s498,s65,s1901,s1866,s1900,s1908]) ).
cnf(s1910,plain,
( ~ spl2_275
| spl2_118
| spl2_161
| ~ spl2_81
| ~ spl2_105
| ~ spl2_119
| ~ spl2_5 ),
inference(rat,[],[s1638,s755,s1028,s782,s869,s969,s968,s529]) ).
cnf(s1911,plain,
( ~ spl2_338
| ~ spl2_318
| ~ spl2_115
| ~ spl2_81
| spl2_59
| ~ spl2_5 ),
inference(rat,[],[s1625,s1028,s1510,s65]) ).
cnf(s1912,plain,
( spl2_118
| spl2_161
| ~ spl2_80
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s1011,s1768,s1691,s782,s487,s1614,s755,s1229,s1400,s1638,s1910,s1909,s2,s1888,s248,s563,s529,s1911,s937,s1903,s451,s832,s1119,s883,s498,s65,s1866,s1900,s1902,s1901]) ).
cnf(s1913,plain,
( ~ spl2_118
| ~ spl2_80
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s8,s210,s268,s27,s6,s352,s254,s503,s159,s178,s157,s393,s1710,s386,s2,s522,s906,s1900,s1888,s143,s1901,s251]) ).
cnf(s1914,plain,
( ~ spl2_80
| ~ spl2_5
| spl2_1 ),
inference(rat,[],[s257,s487,s462,s541,s1912,s1913,s883,s1902,s2,s1888,s248,s498,s251]) ).
cnf(s1915,plain,
( spl2_161
| ~ spl2_26
| spl2_58
| ~ spl2_64
| spl2_118
| spl2_227
| ~ spl2_81
| spl2_59
| spl2_148
| ~ spl2_133
| ~ spl2_5
| ~ spl2_120 ),
inference(rat,[],[s750,s753,s780,s1585,s784,s1809,s1338,s424,s735,s423,s431,s1185,s7,s298,s1877,s952,s257,s846,s1560,s276,s847,s911,s1229,s451,s1910,s529,s832,s248,s1866,s65,s278,s251]) ).
cnf(s1916,plain,
( ~ spl2_5
| spl2_1 ),
inference(rat,[],[s257,s487,s462,s541,s1915,s352,s1774,s295,s510,s219,s1686,s600,s452,s883,s520,s1868,s1630,s256,s1914,s65,s1901,s639,s522,s906,s1900,s248,s498,s2,s1888,s251]) ).
cnf(s1917,plain,
( ~ spl2_60
| spl2_26
| ~ spl2_3
| ~ spl2_6 ),
inference(rat,[],[s297,s1859,s83,s81]) ).
cnf(s1918,plain,
( spl2_81
| spl2_118
| spl2_161
| ~ spl2_80
| spl2_1 ),
inference(rat,[],[s1896,s1260,s937,s1897,s896,s1333,s1917,s1609,s1767,s257,s1147,s294,s687,s689,s2,s1888,s961,s847,s846,s832,s1877,s1228,s1916,s498,s251]) ).
cnf(s1919,plain,
( spl2_118
| spl2_161
| ~ spl2_80
| spl2_1 ),
inference(rat,[],[s975,s680,s1829,s1326,s1007,s357,s973,s1778,s808,s804,s451,s65,s143,s1333,s1917,s1870,s257,s1866,s1138,s787,s1419,s1231,s1918,s2,s1727,s1888,s27,s1228,s1916,s498,s832,s251]) ).
cnf(s1920,plain,
( spl2_161
| ~ spl2_80
| spl2_1 ),
inference(rat,[],[s159,s352,s157,s1716,s393,s1710,s386,s1919,s847,s846,s832,s2,s1888,s253,s1877,s1228,s1916,s498]) ).
cnf(s1921,plain,
( ~ spl2_60
| ~ spl2_135
| ~ spl2_80
| spl2_1 ),
inference(rat,[],[s1867,s1917,s2,s1888,s1228,s1916,s498]) ).
cnf(s1922,plain,
( spl2_81
| spl2_118
| ~ spl2_80
| spl2_1 ),
inference(rat,[],[s487,s1768,s1602,s257,s999,s1371,s808,s1871,s1004,s973,s423,s1007,s896,s1474,s143,s1333,s1921,s294,s687,s689,s8,s961,s1877,s1829,s27,s1740,s1357,s1920,s2,s1888,s1228,s1916,s498,s251]) ).
cnf(s1923,plain,
( ~ spl2_125
| ~ spl2_80
| spl2_1 ),
inference(rat,[],[s487,s1768,s1602,s257,s999,s1371,s808,s1004,s973,s1007,s804,s1474,s143,s1333,s1921,s490,s1866,s787,s1419,s961,s1877,s1829,s27,s1740,s1357,s1920,s2,s1888,s1228,s1916,s498,s251]) ).
cnf(s1924,plain,
( ~ spl2_80
| spl2_1 ),
inference(rat,[],[s1922,s395,s1231,s1923,s498,s1916]) ).
cnf(s1925,plain,
( spl2_81
| spl2_1 ),
inference(rat,[],[s520,s65,s1333,s1338,s1533,s315,s27,s1228,s1916,s498,s256,s1924,s251]) ).
cnf(s1926,plain,
spl2_1,
inference(rat,[],[s1371,s1071,s1602,s1686,s1059,s352,s278,s216,s804,s1474,s143,s1333,s1866,s481,s787,s1419,s1231,s1925,s1868,s256,s1924,s961,s1877,s27,s1228,s1916,s498,s251]) ).
cnf(s1928,plain,
( ~ spl2_4
| ~ spl2_120
| ~ spl2_59
| spl2_81
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s1602,s1889,s525,s1885,s154,s155,s636,s59,s297,s1056,s248,s1256,s925,s1255]) ).
cnf(s1929,plain,
( spl2_300
| ~ spl2_290
| spl2_81 ),
inference(rat,[],[s1200,s1085]) ).
cnf(s1930,plain,
( ~ spl2_300
| ~ spl2_120
| ~ spl2_59
| ~ spl2_5 ),
inference(rat,[],[s1311,s1432,s1671,s1254,s1022,s1059,s1255,s251]) ).
cnf(s1931,plain,
( ~ spl2_279
| ~ spl2_274
| ~ spl2_78
| ~ spl2_75 ),
inference(rat,[],[s1185,s735]) ).
cnf(s1932,plain,
( spl2_300
| spl2_161
| spl2_227
| spl2_81
| spl2_118 ),
inference(rat,[],[s1931,s1229,s1809,s968,s1929,s869,s257,s1147,s294,s689,s298,s1155,s529,s251]) ).
cnf(s1933,plain,
( ~ spl2_104
| ~ spl2_149
| spl2_133
| ~ spl2_78 ),
inference(rat,[],[s1374,s1602]) ).
cnf(s1935,plain,
( spl2_115
| spl2_51
| spl2_184
| spl2_104
| ~ spl2_3
| ~ spl2_80 ),
inference(rat,[],[s370,s1059,s888,s1686,s1398,s1573,s251]) ).
cnf(s1936,plain,
( ~ spl2_275
| spl2_104
| ~ spl2_3
| spl2_339
| ~ spl2_75
| ~ spl2_78
| spl2_161
| ~ spl2_59
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s973,s808,s1935,s66,s404,s810,s1757,s1546,s1799,s1894,s529]) ).
cnf(s1937,plain,
( spl2_161
| ~ spl2_59
| spl2_81
| spl2_118
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s1661,s1676,s1230,s1818,s1519,s1551,s1546,s758,s973,s739,s808,s550,s1693,s1288,s1812,s1809,s1931,s1229,s1936,s563,s1933,s847,s2,s1596,s535,s181,s1930,s1254,s1794,s1932,s298,s257,s1155,s1147,s529,s294,s689,s1113,s1256,s251]) ).
cnf(s1938,plain,
( ~ spl2_120
| ~ spl2_161
| ~ spl2_59
| spl2_81
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s812,s1892,s1928,s1255,s248,s251]) ).
cnf(s1939,plain,
( ~ spl2_104
| ~ spl2_78
| ~ spl2_3
| spl2_133
| spl2_137
| spl2_176
| ~ spl2_80 ),
inference(rat,[],[s888,s370,s1435,s1320,s793,s1560,s1603,s847,s1933]) ).
cnf(s1940,plain,
( ~ spl2_212
| ~ spl2_3
| ~ spl2_162
| spl2_137
| spl2_176
| spl2_81
| spl2_118
| ~ spl2_80 ),
inference(rat,[],[s688,s268,s569,s1320,s793,s1560,s1603,s251]) ).
cnf(s1941,plain,
( spl2_115
| spl2_132 ),
inference(rat,[],[s1573,s1769]) ).
cnf(s1942,plain,
( ~ spl2_300
| ~ spl2_208
| ~ spl2_161
| spl2_227
| ~ spl2_59
| ~ spl2_5 ),
inference(rat,[],[s1229,s1799,s1514,s1254]) ).
cnf(s1943,plain,
( ~ spl2_115
| spl2_287
| ~ spl2_208
| ~ spl2_78
| spl2_227
| spl2_118
| ~ spl2_80 ),
inference(rat,[],[s1799,s1229,s1510,s739,s937,s1638]) ).
cnf(s1944,plain,
( spl2_115
| spl2_26
| spl2_104
| ~ spl2_3 ),
inference(rat,[],[s1059,s352,s1686,s268,s1941,s1398,s251]) ).
cnf(s1945,plain,
( ~ spl2_208
| ~ spl2_78
| ~ spl2_59
| spl2_81
| spl2_118
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s762,s1943,s1942,s294,s689,s1113,s1256,s1944,s1609,s1767,s847,s1940,s1729,s309,s490,s1939,s535,s1409,s1418,s2,s181,s1938,s1937]) ).
cnf(s1946,plain,
( ~ spl2_179
| spl2_74 ),
inference(rat,[],[s59,s78,s66,s415,s418]) ).
cnf(s1947,plain,
( ~ spl2_104
| ~ spl2_307
| ~ spl2_338
| spl2_133 ),
inference(rat,[],[s1464,s1602]) ).
cnf(s1948,plain,
( ~ spl2_59
| spl2_81
| spl2_118
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s1011,s1768,s1691,s563,s1947,s1229,s1799,s1510,s937,s1941,s1696,s273,s782,s1638,s257,s1591,s762,s1945,s1942,s1757,s530,s722,s1946,s1940,s2,s1729,s535,s181,s309,s1938,s552,s1409,s1418,s1937,s1113,s1256,s294,s689,s251]) ).
cnf(s1949,plain,
( ~ spl2_120
| ~ spl2_302
| ~ spl2_161
| ~ spl2_300
| ~ spl2_5 ),
inference(rat,[],[s1629,s1515,s558,s1022]) ).
cnf(s1950,plain,
( spl2_81
| spl2_118
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s352,s791,s268,s490,s1044,s1473,s535,s181,s1949,s1814,s1346,s1229,s1514,s593,s1897,s1260,s1896,s937,s1553,s896,s663,s1948,s294,s689,s251]) ).
cnf(s1951,plain,
( ~ spl2_212
| spl2_145
| spl2_137
| ~ spl2_120
| spl2_161 ),
inference(rat,[],[s1338,s424,s423,s431,s7,s268,s1877,s1320,s846,s1560,s832,s529,s251]) ).
cnf(s1952,plain,
( ~ spl2_10
| ~ spl2_64
| spl2_145
| ~ spl2_120 ),
inference(rat,[],[s1338,s424,s423,s431]) ).
cnf(s1953,plain,
( spl2_101
| ~ spl2_179
| spl2_137
| ~ spl2_315
| ~ spl2_3
| ~ spl2_105
| ~ spl2_120
| spl2_161 ),
inference(rat,[],[s975,s610,s1740,s795,s7,s1952,s1259,s847,s1951,s1034,s1507,s1926]) ).
cnf(s1954,plain,
( ~ spl2_78
| ~ spl2_307
| ~ spl2_274
| ~ spl2_115
| ~ spl2_3
| ~ spl2_105
| ~ spl2_120
| spl2_161
| spl2_59
| ~ spl2_80 ),
inference(rat,[],[s1560,s1320,s1768,s888,s1011,s370,s1257,s1953,s976,s973,s810,s808,s529,s451,s832,s65]) ).
cnf(s1955,plain,
( ~ spl2_120
| spl2_161
| spl2_118
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s1768,s1011,s1691,s273,s487,s257,s1954,s782,s758,s1638,s1911,s937,s1229,s1903,s1910,s2,s1866,s155,s563,s492,s333,s883,s248,s529,s1119,s451,s832,s65,s1280,s1950,s251]) ).
cnf(s1956,plain,
( spl2_161
| spl2_118
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s278,s911,s352,s847,s268,s1596,s1044,s1473,s181,s1955,s451,s832,s65,s1553,s663,s1280,s1950,s251]) ).
cnf(s1957,plain,
( ~ spl2_119
| ~ spl2_77
| ~ spl2_161
| ~ spl2_81 ),
inference(rat,[],[s276,s1866,s329,s492]) ).
cnf(s1958,plain,
( spl2_118
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s1011,s782,s1229,s758,s1768,s1026,s1638,s1691,s1911,s273,s937,s530,s1683,s722,s552,s911,s1946,s847,s527,s487,s600,s563,s278,s1435,s352,s370,s268,s888,s2,s1044,s1473,s181,s248,s1957,s257,s462,s1956,s59,s1553,s65,s663,s1280,s1950,s251]) ).
cnf(s1959,plain,
( spl2_81
| spl2_161
| ~ spl2_118
| ~ spl2_80 ),
inference(rat,[],[s1834,s1768,s490,s1596,s1257,s535,s181,s1897,s395,s569,s393,s1705,s298,s1154,s529,s506,s251,s1926]) ).
cnf(s1960,plain,
( spl2_161
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s973,s808,s1320,s257,s1560,s276,s1702,s1716,s268,s352,s159,s515,s1903,s522,s1885,s1866,s906,s883,s492,s1119,s505,s1703,s1959,s157,s197,s404,s451,s298,s65,s1154,s1705,s529,s832,s506,s393,s1958,s251,s1926]) ).
cnf(s1961,plain,
( spl2_120
| ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s1466,s1418,s1702,s1774,s297,s1474,s268,s352,s159,s515,s157,s521,s1729,s324,s181,s309,s203,s393,s1958,s1960,s251]) ).
cnf(s1962,plain,
( ~ spl2_80
| ~ spl2_5 ),
inference(rat,[],[s257,s462,s1957,s395,s248,s1961,s1960,s1958,s251]) ).
cnf(s1963,plain,
( ~ spl2_59
| ~ spl2_120
| spl2_81
| spl2_161
| ~ spl2_5 ),
inference(rat,[],[s589,s1932,s925,s1930,s1255,s1868,s256,s1962,s395,s251]) ).
cnf(s1964,plain,
( spl2_59
| spl2_81
| ~ spl2_79 ),
inference(rat,[],[s520,s65]) ).
cnf(s1965,plain,
( ~ spl2_183
| ~ spl2_135
| spl2_212
| ~ spl2_75 ),
inference(rat,[],[s1834,s1835,s1768]) ).
cnf(s1967,plain,
( spl2_128
| ~ spl2_88
| ~ spl2_137
| ~ spl2_75
| ~ spl2_78 ),
inference(rat,[],[s1679,s1827,s853]) ).
cnf(s1968,plain,
( ~ spl2_128
| spl2_242 ),
inference(rat,[],[s1281,s1829]) ).
cnf(s1969,plain,
( spl2_81
| spl2_161
| ~ spl2_5 ),
inference(rat,[],[s1338,s424,s420,s429,s1967,s1968,s1096,s1965,s786,s1229,s1931,s1809,s1813,s1649,s59,s1254,s1794,s297,s1932,s268,s600,s352,s1059,s1609,s631,s1686,s1767,s1933,s847,s490,s1596,s535,s181,s1963,s1705,s1964,s298,s257,s1533,s1155,s1147,s315,s1868,s211,s256,s1962,s529,s1926,s251]) ).
cnf(s1970,plain,
( ~ spl2_120
| spl2_161
| ~ spl2_5 ),
inference(rat,[],[s1915,s352,s1774,s295,s65,s639,s1255,s522,s510,s1059,s219,s906,s155,s1686,s452,s492,s333,s883,s248,s1868,s256,s1962,s1119,s1969,s251]) ).
cnf(s1971,plain,
( spl2_101
| ~ spl2_78
| ~ spl2_149
| ~ spl2_3
| ~ spl2_79 ),
inference(rat,[],[s1933,s1686,s1630,s1059,s1868,s251]) ).
cnf(s1972,plain,
( spl2_133
| ~ spl2_78
| spl2_115
| ~ spl2_149
| ~ spl2_3 ),
inference(rat,[],[s1944,s1609,s1933,s490,s1767]) ).
cnf(s1973,plain,
( ~ spl2_183
| ~ spl2_307
| ~ spl2_274
| spl2_212 ),
inference(rat,[],[s1011,s1768]) ).
cnf(s1974,plain,
( ~ spl2_78
| ~ spl2_59
| spl2_161
| ~ spl2_5 ),
inference(rat,[],[s1675,s1003,s1551,s807,s1680,s1669,s853,s1290,s1740,s1973,s1594,s1591,s1794,s1813,s1809,s1931,s1229,s298,s1894,s13,s224,s1546,s27,s1500,s633,s918,s1587,s279,s159,s278,s352,s268,s1056,s902,s1866,s1972,s1971,s157,s324,s200,s256,s1962,s1119,s505,s521,s309,s2,s847,s1596,s181,s1970,s59,s1769,s1548,s1969,s251]) ).
cnf(s1976,plain,
( ~ spl2_314
| ~ spl2_277
| spl2_292
| ~ spl2_149 ),
inference(rat,[],[s1676,s1661,s1551]) ).
cnf(s1981,plain,
( ~ spl2_26
| spl2_314
| ~ spl2_339
| ~ spl2_307
| spl2_119
| spl2_51
| ~ spl2_59
| ~ spl2_3 ),
inference(rat,[],[s1655,s1681,s420,s807,s1859,s1608,s1587]) ).
cnf(s1982,plain,
( spl2_280
| spl2_305 ),
inference(rat,[],[s779,s1804]) ).
cnf(s1983,plain,
( spl2_60
| ~ spl2_280
| ~ spl2_339
| ~ spl2_59 ),
inference(rat,[],[s1655,s1681,s420]) ).
cnf(s1984,plain,
( spl2_292
| spl2_119
| spl2_133
| ~ spl2_274
| ~ spl2_122
| ~ spl2_77
| spl2_115
| ~ spl2_59
| ~ spl2_3
| spl2_212
| spl2_118
| spl2_227
| ~ spl2_132 ),
inference(rat,[],[s382,s1381,s610,s7,s481,s1917,s1983,s1982,s1981,s1437,s1976,s1230,s1664,s1644,s1330,s1344,s1638,s1947,s1602,s563,s1691,s1973,s782,s847,s59,s1769,s1926]) ).
cnf(s1985,plain,
( ~ spl2_300
| ~ spl2_59
| spl2_161
| ~ spl2_5 ),
inference(rat,[],[s1638,s1641,s1028,s1254,s1868,s256,s1962,s505,s1970,s1969,s251]) ).
cnf(s1986,plain,
( ~ spl2_133
| ~ spl2_176
| spl2_115
| ~ spl2_149
| ~ spl2_3
| ~ spl2_79 ),
inference(rat,[],[s278,s352,s911,s268,s902,s1630,s1866,s251]) ).
cnf(s1987,plain,
( ~ spl2_59
| spl2_161
| ~ spl2_5 ),
inference(rat,[],[s1984,s492,s1986,s1591,s1985,s1229,s552,s1907,s1696,s273,s257,s1974,s1946,s1548,s1256,s1868,s256,s1962,s529,s1119,s505,s1969,s2,s847,s1596,s181,s1970,s251]) ).
cnf(s1988,plain,
( spl2_161
| ~ spl2_5 ),
inference(rat,[],[s352,s278,s1044,s911,s451,s1553,s1474,s1473,s65,s663,s1987,s847,s1596,s1729,s181,s309,s1970,s832,s251]) ).
cnf(s1989,plain,
( ~ spl2_120
| ~ spl2_59
| ~ spl2_5 ),
inference(rat,[],[s1059,s806,s1255,s558,s1757,s530,s722,s1946,s1256,s1418,s1988,s251]) ).
cnf(s1990,plain,
( ~ spl2_64
| ~ spl2_101
| ~ spl2_279
| ~ spl2_307
| spl2_133
| spl2_227
| ~ spl2_78
| ~ spl2_208
| spl2_137
| ~ spl2_79 ),
inference(rat,[],[s298,s224,s1931,s59,s1229,s1769,s1799,s216,s1608,s278,s352,s251]) ).
cnf(s1991,plain,
( spl2_280
| ~ spl2_240
| ~ spl2_302
| ~ spl2_75
| spl2_104
| spl2_118
| spl2_120 ),
inference(rat,[],[s1447,s1289,s982,s13,s941,s1804]) ).
cnf(s1992,plain,
( spl2_118
| ~ spl2_59
| ~ spl2_5 ),
inference(rat,[],[s1698,s1188,s1751,s1991,s1515,s1519,s617,s1814,s1968,s1229,s1096,s1629,s1931,s1965,s298,s224,s1466,s59,s1774,s297,s268,s1990,s1059,s1686,s1947,s1809,s1638,s1546,s1409,s1085,s762,s211,s1929,s490,s535,s782,s1591,s181,s1989,s1942,s593,s462,s257,s1696,s553,s1868,s256,s1962,s1757,s530,s722,s1946,s1256,s1418,s1988,s1926,s251]) ).
cnf(s1993,plain,
( ~ spl2_59
| ~ spl2_5 ),
inference(rat,[],[s1229,s1799,s1713,s1717,s1992,s593,s462,s257,s1757,s1696,s530,s553,s722,s1946,s1418,s1256,s1868,s256,s1962,s1988,s251]) ).
cnf(s1994,plain,
( ~ spl2_307
| ~ spl2_5 ),
inference(rat,[],[s1638,s1641,s1947,s1608,s487,s847,s2,s1866,s276,s911,s278,s352,s268,s1044,s1553,s663,s1473,s181,s248,s1957,s552,s1696,s1868,s506,s518,s65,s257,s462,s1964,s1993,s256,s1962,s1988,s251,s1926]) ).
cnf(s1995,plain,
~ spl2_5,
inference(rat,[],[s1229,s1514,s775,s1594,s782,s1994,s1121,s1560,s1603,s13,s78,s847,s1500,s27,s488,s911,s527,s159,s1587,s279,s278,s352,s157,s268,s301,s521,s1044,s1473,s181,s309,s552,s248,s1696,s1957,s257,s506,s462,s518,s59,s1553,s1964,s65,s663,s1993,s1988,s1868,s256,s1962,s251,s1926]) ).
cnf(s1996,plain,
( spl2_51
| ~ spl2_120
| ~ spl2_59 ),
inference(rat,[],[s315,s1231,s1533,s614,s256,s216,s1870,s1871,s279,s330,s1859,s59,s1338,s8,s425,s503,s278,s1917,s2,s522,s253,s1875,s157,s196,s1228,s1333,s1995,s251]) ).
cnf(s1997,plain,
( ~ spl2_120
| ~ spl2_59 ),
inference(rat,[],[s1871,s216,s279,s268,s1056,s297,s1769,s1996,s278,s1917,s2,s1875,s1228,s8,s425,s1333,s1995,s251]) ).
cnf(s1998,plain,
( spl2_81
| spl2_161
| spl2_118
| ~ spl2_59 ),
inference(rat,[],[s975,s808,s1289,s1968,s1972,s1933,s1096,s257,s1965,s256,s1147,s298,s1533,s294,s535,s687,s1155,s315,s689,s1338,s13,s425,s1333,s1729,s309,s2,s529,s847,s1596,s181,s1997,s1926,s251,s1995]) ).
cnf(s1999,plain,
( ~ spl2_125
| ~ spl2_60 ),
inference(rat,[],[s1508,s937,s256,s1071,s1941,s1868,s1223,s481,s1419,s1507,s1338,s425,s251,s1926]) ).
cnf(s2000,plain,
( ~ spl2_104
| ~ spl2_10
| ~ spl2_59 ),
inference(rat,[],[s1459,s1602,s382,s610,s535,s1231,s1999,s1333,s181,s1997,s1995]) ).
cnf(s2001,plain,
( spl2_118
| ~ spl2_59 ),
inference(rat,[],[s1688,s972,s1801,s220,s298,s1965,s487,s257,s808,s973,s1398,s2000,s7,s622,s1859,s59,s297,s268,s688,s1096,s1968,s1357,s1998,s687,s8,s1729,s309,s2,s181,s1997,s569,s256,s1533,s315,s1231,s1999,s1507,s1338,s425,s1333,s251,s1926,s1995]) ).
cnf(s2002,plain,
~ spl2_59,
inference(rat,[],[s808,s973,s257,s622,s1398,s487,s59,s2000,s1702,s297,s7,s268,s1917,s352,s159,s167,s1357,s515,s1705,s2001,s256,s1533,s315,s1231,s1999,s2,s521,s181,s309,s1997,s1507,s1338,s425,s1333,s251,s1995,s1926]) ).
cnf(s2004,plain,
~ spl2_67,
inference(rat,[],[s663,s2002]) ).
cnf(s2005,plain,
spl2_53,
inference(rat,[],[s143,s2002]) ).
cnf(s2006,plain,
~ spl2_51,
inference(rat,[],[s65,s2002]) ).
cnf(s2008,plain,
spl2_164,
inference(rat,[],[s1553,s2002,s2004]) ).
cnf(s2010,plain,
( spl2_81
| spl2_161
| spl2_118 ),
inference(rat,[],[s1896,s1260,s937,s1897,s896,s256,s294,s1964,s689,s2002,s251]) ).
cnf(s2011,plain,
( ~ spl2_120
| ~ spl2_125
| ~ spl2_209 ),
inference(rat,[],[s257,s1933,s1138,s1223,s1419,s1871,s423,s1917,s278,s911,s847,s1474,s846,s208,s961,s8,s2,s1877,s27,s1875,s1228,s451,s251,s1926,s1995,s2002,s2005,s2006]) ).
cnf(s2012,plain,
( spl2_161
| spl2_118 ),
inference(rat,[],[s911,s278,s847,s352,s268,s1596,s1044,s1473,s181,s2011,s1231,s2010,s451,s832,s251,s2008,s2002,s1995,s2006]) ).
cnf(s2013,plain,
( ~ spl2_6
| ~ spl2_128 ),
inference(rat,[],[s1560,s1603,s1768,s999,s1474,s961,s908,s1877,s1004,s1007,s1096,s1968,s251,s2002,s1926,s2005]) ).
cnf(s2014,plain,
( ~ spl2_101
| spl2_81
| ~ spl2_64
| ~ spl2_80
| spl2_118
| ~ spl2_162 ),
inference(rat,[],[s569,s688]) ).
cnf(s2015,plain,
( spl2_81
| spl2_118 ),
inference(rat,[],[s2014,s256,s1964,s1044,s1729,s309,s268,s1473,s181,s1228,s2013,s1357,s2012,s251,s2002,s1995,s2008]) ).
cnf(s2016,plain,
spl2_118,
inference(rat,[],[s926,s1999,s470,s1231,s278,s2015,s352,s268,s1044,s1473,s181,s7,s1228,s2013,s1357,s2012,s1995,s251,s2008,s2002]) ).
cnf(s2018,plain,
spl2_82,
inference(rat,[],[s506,s1926,s2016]) ).
cnf(s2019,plain,
~ spl2_79,
inference(rat,[],[s518,s2006,s2002,s2018]) ).
cnf(s2020,plain,
spl2_80,
inference(rat,[],[s256,s251,s2019]) ).
cnf(s2022,plain,
spl2_101,
inference(rat,[],[s393,s2016,s2020]) ).
cnf(s2025,plain,
( spl2_133
| ~ spl2_64 ),
inference(rat,[],[s352,s289,s2020,s2022]) ).
cnf(s2026,plain,
spl2_81,
inference(rat,[],[s2025,s268,s535,s1473,s181,s395,s251,s2002,s2016]) ).
cnf(s2027,plain,
spl2_125,
inference(rat,[],[s1231,s1995,s2026]) ).
cnf(s2029,plain,
~ spl2_13,
inference(rat,[],[s1287,s2027]) ).
cnf(s2030,plain,
spl2_239,
inference(rat,[],[s1148,s2029,s2027]) ).
cnf(s2038,plain,
spl2_104,
inference(rat,[],[s1223,s1926,s2030]) ).
cnf(s2039,plain,
spl2_115,
inference(rat,[],[s804,s2005,s2030]) ).
cnf(s2057,plain,
~ spl2_175,
inference(rat,[],[s1071,s2039,s2038]) ).
cnf(s2058,plain,
~ spl2_318,
inference(rat,[],[s1508,s2057,s2022,s2038]) ).
cnf(s2062,plain,
$false,
inference(rat,[],[s937,s2020,s2039,s2058]) ).
thf(f18376,plain,
$false,
inference(avatar_sat_refutation,[],[s2062]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRA114^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n015.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Tue Sep 29 19:02:49 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running higher-order theorem proving
% 0.25/0.33 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
% 0.30/0.48 % (3967191)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.30/0.48 % (3967201)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1364175310:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.30/0.48 % (3967202)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.30/0.48 % (3967202)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
% 0.30/0.48 % (3967196)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3036524896:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.30/0.48 % (3967197)lrs+10_16_si=on:nwc=1.5:random_seed=3895035952:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.30/0.48 % (3967198)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2530236059:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.30/0.48 % (3967200)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2334866913:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.30/0.48 % (3967199)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=3763713304: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)
% 0.30/0.48 % (3967202)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=279979734:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.30/0.48 % (3967198)Instruction limit reached!
% 0.30/0.48 % (3967198)------------------------------
% 0.30/0.48 % (3967198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.48 % (3967198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.48 % (3967198)CaDiCaL version: 2.1.3
% 0.30/0.48 % (3967198)Termination reason: Instruction limit
% 0.30/0.48 % (3967198)Termination phase: Saturation
% 0.30/0.48 % (3967198)Time elapsed: 0.004 s
% 0.30/0.48 % (3967198)Peak memory usage: 12 MB
% 0.30/0.48 % (3967198)Instructions burned: 3 (million)
% 0.30/0.48 % (3967197)Instruction limit reached!
% 0.30/0.48 % (3967197)------------------------------
% 0.30/0.48 % (3967197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.48 % (3967197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.48 % (3967197)CaDiCaL version: 2.1.3
% 0.30/0.48 % (3967197)Termination reason: Instruction limit
% 0.30/0.48 % (3967197)Termination phase: Saturation
% 0.30/0.48 % (3967197)Time elapsed: 0.016 s
% 0.30/0.48 % (3967197)Peak memory usage: 12 MB
% 0.30/0.48 % (3967197)Instructions burned: 19 (million)
% 0.30/0.48 % (3967201)Instruction limit reached!
% 0.30/0.48 % (3967201)------------------------------
% 0.30/0.48 % (3967201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.48 % (3967201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.48 % (3967201)CaDiCaL version: 2.1.3
% 0.30/0.48 % (3967201)Termination reason: Instruction limit
% 0.30/0.48 % (3967201)Termination phase: Saturation
% 0.30/0.48 % (3967201)Time elapsed: 0.034 s
% 0.30/0.48 % (3967201)Peak memory usage: 12 MB
% 0.30/0.48 % (3967201)Instructions burned: 76 (million)
% 0.30/0.48 % (3967200)Instruction limit reached!
% 0.30/0.48 % (3967200)------------------------------
% 0.30/0.48 % (3967200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.48 % (3967200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.48 % (3967200)CaDiCaL version: 2.1.3
% 0.30/0.48 % (3967200)Termination reason: Instruction limit
% 0.30/0.48 % (3967200)Termination phase: Saturation
% 0.30/0.48 % (3967200)Time elapsed: 0.022 s
% 0.30/0.48 % (3967200)Peak memory usage: 12 MB
% 0.30/0.48 % (3967200)Instructions burned: 24 (million)
% 0.30/0.48 % (3967210)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2860380100:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.30/0.48 % (3967210)Instruction limit reached!
% 0.30/0.48 % (3967210)------------------------------
% 0.30/0.48 % (3967210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (3967210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (3967210)CaDiCaL version: 2.1.3
% 1.23/0.52 % (3967210)Termination reason: Instruction limit
% 1.23/0.52 % (3967210)Termination phase: Saturation
% 1.23/0.52 % (3967210)Time elapsed: 0.002 s
% 1.23/0.52 % (3967210)Peak memory usage: 12 MB
% 1.23/0.52 % (3967210)Instructions burned: 2 (million)
% 1.23/0.52 % (3967214)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1705465605:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.23/0.52 % (3967216)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.23/0.52 % (3967216)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.23/0.52 % (3967214)Instruction limit reached!
% 1.23/0.52 % (3967214)------------------------------
% 1.23/0.52 % (3967214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (3967214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (3967214)CaDiCaL version: 2.1.3
% 1.23/0.52 % (3967214)Termination reason: Instruction limit
% 1.23/0.52 % (3967214)Termination phase: Saturation
% 1.23/0.52 % (3967214)Time elapsed: 0.007 s
% 1.23/0.52 % (3967214)Peak memory usage: 12 MB
% 1.23/0.52 % (3967214)Instructions burned: 13 (million)
% 1.23/0.52 % (3967213)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.23/0.52 % (3967211)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3609865:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.23/0.52 % (3967216)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3639007461:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.23/0.52 % (3967213)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2716704969:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.23/0.52 % (3967211)Instruction limit reached!
% 1.23/0.52 % (3967211)------------------------------
% 1.23/0.52 % (3967211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (3967211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (3967211)CaDiCaL version: 2.1.3
% 1.23/0.52 % (3967211)Termination reason: Instruction limit
% 1.23/0.52 % (3967211)Termination phase: Saturation
% 1.23/0.52 % (3967211)Time elapsed: 0.005 s
% 1.23/0.52 % (3967211)Peak memory usage: 12 MB
% 1.23/0.52 % (3967211)Instructions burned: 5 (million)
% 1.23/0.52 % (3967213)Instruction limit reached!
% 1.23/0.52 % (3967213)------------------------------
% 1.23/0.52 % (3967213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (3967213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (3967213)CaDiCaL version: 2.1.3
% 1.23/0.52 % (3967213)Termination reason: Instruction limit
% 1.23/0.52 % (3967213)Termination phase: Saturation
% 1.23/0.52 % (3967213)Time elapsed: 0.007 s
% 1.23/0.52 % (3967213)Peak memory usage: 12 MB
% 1.23/0.52 % (3967213)Instructions burned: 7 (million)
% 1.23/0.52 % (3967196)Instruction limit reached!
% 1.23/0.52 % (3967196)------------------------------
% 1.23/0.52 % (3967196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (3967196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (3967196)CaDiCaL version: 2.1.3
% 1.23/0.52 % (3967196)Termination reason: Instruction limit
% 1.23/0.52 % (3967196)Termination phase: Saturation
% 1.23/0.52 % (3967196)Time elapsed: 0.063 s
% 1.23/0.52 % (3967196)Peak memory usage: 12 MB
% 1.23/0.52 % (3967196)Instructions burned: 87 (million)
% 1.23/0.52 % (3967221)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=3566484172:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.23/0.52 % (3967216)Instruction limit reached!
% 1.23/0.52 % (3967216)------------------------------
% 1.23/0.52 % (3967216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (3967216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (3967216)CaDiCaL version: 2.1.3
% 1.23/0.56 % (3967216)Termination reason: Instruction limit
% 1.23/0.56 % (3967216)Termination phase: Saturation
% 1.23/0.56 % (3967216)Time elapsed: 0.018 s
% 1.23/0.56 % (3967216)Peak memory usage: 12 MB
% 1.23/0.56 % (3967216)Instructions burned: 29 (million)
% 1.23/0.56 % (3967223)lrs+10_1_si=on:cs=on:random_seed=2416485772:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.23/0.56 % (3967224)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.23/0.56 % (3967224)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=4241270654:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.23/0.56 % (3967225)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3348396972:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.23/0.56 % (3967223)Instruction limit reached!
% 1.23/0.56 % (3967223)------------------------------
% 1.23/0.56 % (3967223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (3967223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (3967223)CaDiCaL version: 2.1.3
% 1.23/0.56 % (3967223)Termination reason: Instruction limit
% 1.23/0.56 % (3967223)Termination phase: Saturation
% 1.23/0.56 % (3967223)Time elapsed: 0.009 s
% 1.23/0.56 % (3967223)Peak memory usage: 12 MB
% 1.23/0.56 % (3967223)Instructions burned: 9 (million)
% 1.23/0.56 % (3967224)Instruction limit reached!
% 1.23/0.56 % (3967224)------------------------------
% 1.23/0.56 % (3967224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (3967224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (3967224)CaDiCaL version: 2.1.3
% 1.23/0.56 % (3967224)Termination reason: Instruction limit
% 1.23/0.56 % (3967224)Termination phase: Saturation
% 1.23/0.56 % (3967224)Time elapsed: 0.002 s
% 1.23/0.56 % (3967224)Peak memory usage: 10 MB
% 1.23/0.56 % (3967224)Instructions burned: 2 (million)
% 1.23/0.56 % (3967225)Refutation not found, incomplete strategy
% 1.23/0.56 % (3967225)------------------------------
% 1.23/0.56 % (3967225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (3967225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (3967225)CaDiCaL version: 2.1.3
% 1.23/0.56 % (3967225)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.56 % (3967225)Time elapsed: 0.001 s
% 1.23/0.56 % (3967225)Peak memory usage: 11 MB
% 1.23/0.56 % (3967225)Instructions burned: 1 (million)
% 1.23/0.56 % (3967225)------------------------------
% 1.23/0.56 % (3967225)------------------------------
% 1.23/0.56 % (3967221)Instruction limit reached!
% 1.23/0.56 % (3967221)------------------------------
% 1.23/0.56 % (3967221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (3967221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (3967221)CaDiCaL version: 2.1.3
% 1.23/0.56 % (3967221)Termination reason: Instruction limit
% 1.23/0.56 % (3967221)Termination phase: Saturation
% 1.23/0.56 % (3967221)Time elapsed: 0.038 s
% 1.23/0.56 % (3967221)Peak memory usage: 12 MB
% 1.23/0.56 % (3967221)Instructions burned: 88 (million)
% 1.23/0.56 % (3967202)Instruction limit reached!
% 1.23/0.56 % (3967202)------------------------------
% 1.23/0.56 % (3967202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (3967202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.56 % (3967202)CaDiCaL version: 2.1.3
% 1.23/0.56 % (3967202)Termination reason: Instruction limit
% 1.23/0.56 % (3967202)Termination phase: Saturation
% 1.23/0.56 % (3967202)Time elapsed: 0.104 s
% 1.23/0.56 % (3967202)Peak memory usage: 12 MB
% 1.23/0.56 % (3967202)Instructions burned: 157 (million)
% 1.23/0.56 % (3967227)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=338730918:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.23/0.56 % (3967227)Refutation not found, incomplete strategy
% 1.23/0.56 % (3967227)------------------------------
% 1.23/0.56 % (3967227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.56 % (3967227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.61 % (3967227)CaDiCaL version: 2.1.3
% 1.94/0.61 % (3967227)Termination reason: Refutation not found, incomplete strategy
% 1.94/0.61 % (3967227)Time elapsed: 0.001 s
% 1.94/0.61 % (3967227)Peak memory usage: 11 MB
% 1.94/0.61 % (3967227)Instructions burned: 1 (million)
% 1.94/0.61 % (3967227)------------------------------
% 1.94/0.61 % (3967227)------------------------------
% 1.94/0.61 % (3967235)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1823907896: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)
% 1.94/0.61 % (3967231)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2461973366:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.94/0.61 % (3967235)Refutation not found, incomplete strategy
% 1.94/0.61 % (3967235)------------------------------
% 1.94/0.61 % (3967235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.61 % (3967235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.61 % (3967235)CaDiCaL version: 2.1.3
% 1.94/0.61 % (3967235)Termination reason: Refutation not found, incomplete strategy
% 1.94/0.61 % (3967235)Time elapsed: 0.001 s
% 1.94/0.61 % (3967235)Peak memory usage: 11 MB
% 1.94/0.61 % (3967235)Instructions burned: 1 (million)
% 1.94/0.61 % (3967235)------------------------------
% 1.94/0.61 % (3967235)------------------------------
% 1.94/0.61 % (3967231)Refutation not found, incomplete strategy
% 1.94/0.61 % (3967231)------------------------------
% 1.94/0.61 % (3967231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.61 % (3967231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.61 % (3967231)CaDiCaL version: 2.1.3
% 1.94/0.61 % (3967231)Termination reason: Refutation not found, incomplete strategy
% 1.94/0.61 % (3967231)Time elapsed: 0.001 s
% 1.94/0.61 % (3967231)Peak memory usage: 11 MB
% 1.94/0.61 % (3967231)Instructions burned: 1 (million)
% 1.94/0.61 % (3967232)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3731965726:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.94/0.61 % (3967231)------------------------------
% 1.94/0.61 % (3967231)------------------------------
% 1.94/0.61 % (3967233)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3614682014:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.94/0.61 % (3967233)Refutation not found, incomplete strategy
% 1.94/0.61 % (3967233)------------------------------
% 1.94/0.61 % (3967233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.61 % (3967233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.61 % (3967233)CaDiCaL version: 2.1.3
% 1.94/0.61 % (3967233)Termination reason: Refutation not found, incomplete strategy
% 1.94/0.61 % (3967233)Time elapsed: 0.001 s
% 1.94/0.61 % (3967233)Peak memory usage: 11 MB
% 1.94/0.61 % (3967233)Instructions burned: 1 (million)
% 1.94/0.61 % (3967233)------------------------------
% 1.94/0.61 % (3967233)------------------------------
% 1.94/0.61 % (3967234)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3398726598:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.94/0.61 % (3967232)Instruction limit reached!
% 1.94/0.61 % (3967232)------------------------------
% 1.94/0.61 % (3967232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.61 % (3967232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.61 % (3967232)CaDiCaL version: 2.1.3
% 1.94/0.61 % (3967232)Termination reason: Instruction limit
% 1.94/0.61 % (3967232)Termination phase: Saturation
% 1.94/0.61 % (3967232)Time elapsed: 0.015 s
% 1.94/0.61 % (3967232)Peak memory usage: 11 MB
% 1.94/0.61 % (3967232)Instructions burned: 15 (million)
% 1.94/0.61 % (3967237)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=801458290:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.94/0.61 % (3967240)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=558816954:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.94/0.61 % (3967243)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4068265012:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.08/0.65 % (3967234)Instruction limit reached!
% 2.08/0.65 % (3967234)------------------------------
% 2.08/0.65 % (3967234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.65 % (3967234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.65 % (3967234)CaDiCaL version: 2.1.3
% 2.08/0.65 % (3967234)Termination reason: Instruction limit
% 2.08/0.65 % (3967234)Termination phase: Saturation
% 2.08/0.65 % (3967234)Time elapsed: 0.013 s
% 2.08/0.65 % (3967234)Peak memory usage: 12 MB
% 2.08/0.65 % (3967234)Instructions burned: 14 (million)
% 2.08/0.65 % (3967240)Instruction limit reached!
% 2.08/0.65 % (3967240)------------------------------
% 2.08/0.65 % (3967240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.65 % (3967240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.65 % (3967240)CaDiCaL version: 2.1.3
% 2.08/0.65 % (3967240)Termination reason: Instruction limit
% 2.08/0.65 % (3967240)Termination phase: Saturation
% 2.08/0.65 % (3967240)Time elapsed: 0.009 s
% 2.08/0.65 % (3967240)Peak memory usage: 11 MB
% 2.08/0.65 % (3967240)Instructions burned: 24 (million)
% 2.08/0.65 % (3967244)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
% 2.08/0.65 % (3967244)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.08/0.65 % (3967244)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=2401334799:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.08/0.65 % (3967237)Instruction limit reached!
% 2.08/0.65 % (3967237)------------------------------
% 2.08/0.65 % (3967237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.65 % (3967237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.65 % (3967237)CaDiCaL version: 2.1.3
% 2.08/0.65 % (3967237)Termination reason: Instruction limit
% 2.08/0.65 % (3967237)Termination phase: Saturation
% 2.08/0.65 % (3967237)Time elapsed: 0.023 s
% 2.08/0.65 % (3967237)Peak memory usage: 12 MB
% 2.08/0.65 % (3967237)Instructions burned: 26 (million)
% 2.08/0.65 % (3967248)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.08/0.65 % (3967251)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1718428271:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.08/0.65 % (3967248)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=662927825:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.08/0.65 % (3967251)Instruction limit reached!
% 2.08/0.65 % (3967251)------------------------------
% 2.08/0.65 % (3967251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.65 % (3967251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.65 % (3967251)CaDiCaL version: 2.1.3
% 2.08/0.65 % (3967251)Termination reason: Instruction limit
% 2.08/0.65 % (3967251)Termination phase: Saturation
% 2.08/0.65 % (3967251)Time elapsed: 0.005 s
% 2.08/0.65 % (3967251)Peak memory usage: 12 MB
% 2.08/0.65 % (3967251)Instructions burned: 7 (million)
% 2.08/0.65 % (3967244)Instruction limit reached!
% 2.08/0.65 % (3967244)------------------------------
% 2.08/0.65 % (3967244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.65 % (3967244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.65 % (3967244)CaDiCaL version: 2.1.3
% 2.08/0.65 % (3967244)Termination reason: Instruction limit
% 2.08/0.65 % (3967244)Termination phase: Saturation
% 2.08/0.65 % (3967244)Time elapsed: 0.014 s
% 2.08/0.65 % (3967244)Peak memory usage: 12 MB
% 2.08/0.65 % (3967244)Instructions burned: 14 (million)
% 2.08/0.65 % (3967250)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=1467153225:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.08/0.65 % (3967248)Instruction limit reached!
% 2.08/0.65 % (3967248)------------------------------
% 2.08/0.65 % (3967248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.72 % (3967248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.72 % (3967248)CaDiCaL version: 2.1.3
% 2.48/0.72 % (3967248)Termination reason: Instruction limit
% 2.48/0.72 % (3967248)Termination phase: Saturation
% 2.48/0.72 % (3967248)Time elapsed: 0.010 s
% 2.48/0.72 % (3967248)Peak memory usage: 12 MB
% 2.48/0.72 % (3967248)Instructions burned: 9 (million)
% 2.48/0.72 % (3967256)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1047162559:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.48/0.72 % (3967253)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1089435760:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.48/0.72 % (3967243)Instruction limit reached!
% 2.48/0.72 % (3967243)------------------------------
% 2.48/0.72 % (3967243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.72 % (3967243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.72 % (3967243)CaDiCaL version: 2.1.3
% 2.48/0.72 % (3967243)Termination reason: Instruction limit
% 2.48/0.72 % (3967243)Termination phase: Saturation
% 2.48/0.72 % (3967243)Time elapsed: 0.054 s
% 2.48/0.72 % (3967243)Peak memory usage: 12 MB
% 2.48/0.72 % (3967243)Instructions burned: 61 (million)
% 2.48/0.72 % (3967256)Instruction limit reached!
% 2.48/0.72 % (3967256)------------------------------
% 2.48/0.72 % (3967256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.72 % (3967256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.72 % (3967256)CaDiCaL version: 2.1.3
% 2.48/0.72 % (3967256)Termination reason: Instruction limit
% 2.48/0.72 % (3967256)Termination phase: Saturation
% 2.48/0.72 % (3967256)Time elapsed: 0.011 s
% 2.48/0.72 % (3967256)Peak memory usage: 12 MB
% 2.48/0.72 % (3967256)Instructions burned: 22 (million)
% 2.48/0.72 % (3967250)Instruction limit reached!
% 2.48/0.72 % (3967250)------------------------------
% 2.48/0.72 % (3967250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.72 % (3967250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.72 % (3967250)CaDiCaL version: 2.1.3
% 2.48/0.72 % (3967250)Termination reason: Instruction limit
% 2.48/0.72 % (3967250)Termination phase: Saturation
% 2.48/0.72 % (3967250)Time elapsed: 0.029 s
% 2.48/0.72 % (3967250)Peak memory usage: 12 MB
% 2.48/0.72 % (3967250)Instructions burned: 31 (million)
% 2.48/0.72 % (3967257)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2387409377:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.48/0.72 % (3967259)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1761942126:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.48/0.72 % (3967253)Instruction limit reached!
% 2.48/0.72 % (3967253)------------------------------
% 2.48/0.72 % (3967253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.72 % (3967253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.72 % (3967253)CaDiCaL version: 2.1.3
% 2.48/0.72 % (3967253)Termination reason: Instruction limit
% 2.48/0.72 % (3967253)Termination phase: Saturation
% 2.48/0.72 % (3967253)Time elapsed: 0.019 s
% 2.48/0.72 % (3967253)Peak memory usage: 11 MB
% 2.48/0.72 % (3967253)Instructions burned: 24 (million)
% 2.48/0.72 % (3967264)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.48/0.72 % (3967264)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3952142470:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.48/0.72 % (3967264)Instruction limit reached!
% 2.48/0.72 % (3967264)------------------------------
% 2.48/0.72 % (3967264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.72 % (3967264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.72 % (3967264)CaDiCaL version: 2.1.3
% 2.48/0.72 % (3967264)Termination reason: Instruction limit
% 2.48/0.72 % (3967264)Termination phase: Saturation
% 2.48/0.72 % (3967264)Time elapsed: 0.004 s
% 2.48/0.72 % (3967264)Peak memory usage: 12 MB
% 2.48/0.72 % (3967264)Instructions burned: 7 (million)
% 2.48/0.72 % (3967262)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2465758241:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.83/0.82 % (3967262)Refutation not found, incomplete strategy
% 2.83/0.82 % (3967262)------------------------------
% 2.83/0.82 % (3967262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.82 % (3967262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.82 % (3967262)CaDiCaL version: 2.1.3
% 2.83/0.82 % (3967262)Termination reason: Refutation not found, incomplete strategy
% 2.83/0.82 % (3967262)Time elapsed: 0.002 s
% 2.83/0.82 % (3967262)Peak memory usage: 11 MB
% 2.83/0.82 % (3967262)Instructions burned: 1 (million)
% 2.83/0.82 % (3967263)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2677384509:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.83/0.82 % (3967262)------------------------------
% 2.83/0.82 % (3967262)------------------------------
% 2.83/0.82 % (3967267)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3801060481:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.83/0.82 % (3967267)Refutation not found, incomplete strategy
% 2.83/0.82 % (3967267)------------------------------
% 2.83/0.82 % (3967267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.82 % (3967267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.82 % (3967267)CaDiCaL version: 2.1.3
% 2.83/0.82 % (3967267)Termination reason: Refutation not found, incomplete strategy
% 2.83/0.82 % (3967267)Time elapsed: 0.002 s
% 2.83/0.82 % (3967267)Peak memory usage: 11 MB
% 2.83/0.82 % (3967267)Instructions burned: 1 (million)
% 2.83/0.82 % (3967267)------------------------------
% 2.83/0.82 % (3967267)------------------------------
% 2.83/0.82 % (3967269)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=2029765153: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)
% 2.83/0.82 % (3967269)Refutation not found, incomplete strategy
% 2.83/0.82 % (3967269)------------------------------
% 2.83/0.82 % (3967269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.82 % (3967269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.82 % (3967269)CaDiCaL version: 2.1.3
% 2.83/0.82 % (3967269)Termination reason: Refutation not found, incomplete strategy
% 2.83/0.82 % (3967269)Time elapsed: 0.001 s
% 2.83/0.82 % (3967269)Peak memory usage: 11 MB
% 2.83/0.82 % (3967269)Instructions burned: 1 (million)
% 2.83/0.82 % (3967269)------------------------------
% 2.83/0.82 % (3967269)------------------------------
% 2.83/0.82 % (3967273)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.83/0.82 % (3967273)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2137701304:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.83/0.82 % (3967273)Refutation not found, incomplete strategy
% 2.83/0.82 % (3967273)------------------------------
% 2.83/0.82 % (3967273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.82 % (3967273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.82 % (3967273)CaDiCaL version: 2.1.3
% 2.83/0.82 % (3967273)Termination reason: Refutation not found, incomplete strategy
% 2.83/0.82 % (3967273)Time elapsed: 0.001 s
% 2.83/0.82 % (3967273)Peak memory usage: 11 MB
% 2.83/0.82 % (3967273)Instructions burned: 2 (million)
% 2.83/0.82 % (3967273)------------------------------
% 2.83/0.82 % (3967273)------------------------------
% 2.83/0.82 % (3967263)Instruction limit reached!
% 2.83/0.82 % (3967263)------------------------------
% 2.83/0.82 % (3967263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.82 % (3967263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.82 % (3967263)CaDiCaL version: 2.1.3
% 2.83/0.82 % (3967263)Termination reason: Instruction limit
% 2.83/0.82 % (3967263)Termination phase: Saturation
% 2.83/0.82 % (3967263)Time elapsed: 0.036 s
% 2.83/0.82 % (3967263)Peak memory usage: 12 MB
% 2.83/0.82 % (3967263)Instructions burned: 42 (million)
% 2.83/0.82 % (3967274)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3804166627:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.83/0.89 % (3967276)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4272572930:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.83/0.89 % (3967278)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=1602039617:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.83/0.89 % (3967276)Refutation not found, incomplete strategy
% 2.83/0.89 % (3967276)------------------------------
% 2.83/0.89 % (3967276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.89 % (3967276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.89 % (3967276)CaDiCaL version: 2.1.3
% 2.83/0.89 % (3967276)Termination reason: Refutation not found, incomplete strategy
% 2.83/0.89 % (3967276)Time elapsed: 0.004 s
% 2.83/0.89 % (3967276)Peak memory usage: 13 MB
% 2.83/0.89 % (3967276)Instructions burned: 3 (million)
% 2.83/0.89 % (3967276)------------------------------
% 2.83/0.89 % (3967276)------------------------------
% 2.83/0.89 % (3967274)Instruction limit reached!
% 2.83/0.89 % (3967274)------------------------------
% 2.83/0.89 % (3967274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.89 % (3967274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.89 % (3967274)CaDiCaL version: 2.1.3
% 2.83/0.89 % (3967274)Termination reason: Instruction limit
% 2.83/0.89 % (3967274)Termination phase: Saturation
% 2.83/0.89 % (3967274)Time elapsed: 0.019 s
% 2.83/0.89 % (3967274)Peak memory usage: 12 MB
% 2.83/0.89 % (3967274)Instructions burned: 22 (million)
% 2.83/0.89 % (3967280)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=181714967:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.83/0.89 % (3967283)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=4150579800: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)
% 2.83/0.89 % (3967259)Instruction limit reached!
% 2.83/0.89 % (3967259)------------------------------
% 2.83/0.89 % (3967259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.89 % (3967259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.89 % (3967259)CaDiCaL version: 2.1.3
% 2.83/0.89 % (3967259)Termination reason: Instruction limit
% 2.83/0.89 % (3967259)Termination phase: Saturation
% 2.83/0.89 % (3967259)Time elapsed: 0.093 s
% 2.83/0.89 % (3967259)Peak memory usage: 13 MB
% 2.83/0.89 % (3967259)Instructions burned: 143 (million)
% 2.83/0.89 % (3967284)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=368448911:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.83/0.89 % (3967284)Refutation not found, incomplete strategy
% 2.83/0.89 % (3967284)------------------------------
% 2.83/0.89 % (3967284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.83/0.89 % (3967284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/0.89 % (3967284)CaDiCaL version: 2.1.3
% 2.83/0.89 % (3967284)Termination reason: Refutation not found, incomplete strategy
% 2.83/0.89 % (3967284)Time elapsed: 0.001 s
% 2.83/0.89 % (3967284)Peak memory usage: 12 MB
% 2.83/0.89 % (3967284)Instructions burned: 2 (million)
% 2.83/0.89 % (3967284)------------------------------
% 2.83/0.89 % (3967284)------------------------------
% 2.83/0.89 % (3967289)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.83/0.89 % (3967289)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=63427550:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.83/0.89 % (3967287)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=137383236: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)
% 2.83/0.89 % (3967283)Instruction limit reached!
% 2.83/0.89 % (3967283)------------------------------
% 3.20/0.95 % (3967283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.95 % (3967283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.95 % (3967283)CaDiCaL version: 2.1.3
% 3.20/0.95 % (3967283)Termination reason: Instruction limit
% 3.20/0.95 % (3967283)Termination phase: Saturation
% 3.20/0.95 % (3967283)Time elapsed: 0.035 s
% 3.20/0.95 % (3967283)Peak memory usage: 12 MB
% 3.20/0.95 % (3967283)Instructions burned: 45 (million)
% 3.20/0.95 % (3967287)Instruction limit reached!
% 3.20/0.95 % (3967287)------------------------------
% 3.20/0.95 % (3967287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.95 % (3967287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.95 % (3967287)CaDiCaL version: 2.1.3
% 3.20/0.95 % (3967287)Termination reason: Instruction limit
% 3.20/0.95 % (3967287)Termination phase: Saturation
% 3.20/0.95 % (3967287)Time elapsed: 0.020 s
% 3.20/0.95 % (3967287)Peak memory usage: 12 MB
% 3.20/0.95 % (3967287)Instructions burned: 22 (million)
% 3.20/0.95 % (3967292)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=576161978:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.20/0.95 % (3967292)Instruction limit reached!
% 3.20/0.95 % (3967292)------------------------------
% 3.20/0.95 % (3967292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.95 % (3967292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.95 % (3967292)CaDiCaL version: 2.1.3
% 3.20/0.95 % (3967292)Termination reason: Instruction limit
% 3.20/0.95 % (3967292)Termination phase: Saturation
% 3.20/0.95 % (3967292)Time elapsed: 0.010 s
% 3.20/0.95 % (3967292)Peak memory usage: 12 MB
% 3.20/0.95 % (3967292)Instructions burned: 14 (million)
% 3.20/0.95 % (3967293)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=1184341714:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.20/0.95 % (3967295)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3137261633:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.20/0.95 % (3967295)Refutation not found, incomplete strategy
% 3.20/0.95 % (3967295)------------------------------
% 3.20/0.95 % (3967295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.95 % (3967295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.95 % (3967295)CaDiCaL version: 2.1.3
% 3.20/0.95 % (3967295)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.95 % (3967295)Time elapsed: 0.002 s
% 3.20/0.95 % (3967295)Peak memory usage: 12 MB
% 3.20/0.95 % (3967295)Instructions burned: 2 (million)
% 3.20/0.95 % (3967295)------------------------------
% 3.20/0.95 % (3967295)------------------------------
% 3.20/0.95 % (3967289)Instruction limit reached!
% 3.20/0.95 % (3967289)------------------------------
% 3.20/0.95 % (3967289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.95 % (3967289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.95 % (3967289)CaDiCaL version: 2.1.3
% 3.20/0.95 % (3967289)Termination reason: Instruction limit
% 3.20/0.95 % (3967289)Termination phase: Saturation
% 3.20/0.95 % (3967289)Time elapsed: 0.070 s
% 3.20/0.95 % (3967289)Peak memory usage: 12 MB
% 3.20/0.95 % (3967289)Instructions burned: 201 (million)
% 3.20/0.95 % (3967299)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4129702491:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.20/0.95 % (3967298)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1946899249:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.20/0.95 % (3967199)Instruction limit reached!
% 3.20/0.95 % (3967199)------------------------------
% 3.20/0.95 % (3967199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.95 % (3967199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.95 % (3967199)CaDiCaL version: 2.1.3
% 3.20/0.95 % (3967199)Termination reason: Instruction limit
% 3.20/0.95 % (3967199)Termination phase: Saturation
% 3.20/0.95 % (3967199)Time elapsed: 0.439 s
% 3.20/0.95 % (3967199)Peak memory usage: 13 MB
% 3.20/0.95 % (3967199)Instructions burned: 636 (million)
% 3.20/0.95 % (3967293)Instruction limit reached!
% 3.20/0.95 % (3967293)------------------------------
% 5.14/1.06 % (3967293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.06 % (3967293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.06 % (3967293)CaDiCaL version: 2.1.3
% 5.14/1.06 % (3967293)Termination reason: Instruction limit
% 5.14/1.06 % (3967293)Termination phase: Saturation
% 5.14/1.06 % (3967293)Time elapsed: 0.049 s
% 5.14/1.06 % (3967293)Peak memory usage: 13 MB
% 5.14/1.06 % (3967293)Instructions burned: 66 (million)
% 5.14/1.06 % (3967298)Instruction limit reached!
% 5.14/1.06 % (3967298)------------------------------
% 5.14/1.06 % (3967298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.06 % (3967298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.06 % (3967298)CaDiCaL version: 2.1.3
% 5.14/1.06 % (3967298)Termination reason: Instruction limit
% 5.14/1.06 % (3967298)Termination phase: Saturation
% 5.14/1.06 % (3967298)Time elapsed: 0.028 s
% 5.14/1.06 % (3967298)Peak memory usage: 12 MB
% 5.14/1.06 % (3967298)Instructions burned: 31 (million)
% 5.14/1.06 % (3967303)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3369410287:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 5.14/1.06 % (3967303)Refutation not found, incomplete strategy
% 5.14/1.06 % (3967303)------------------------------
% 5.14/1.06 % (3967303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.06 % (3967303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.06 % (3967303)CaDiCaL version: 2.1.3
% 5.14/1.06 % (3967303)Termination reason: Refutation not found, incomplete strategy
% 5.14/1.06 % (3967303)Time elapsed: 0.001 s
% 5.14/1.06 % (3967303)Peak memory usage: 12 MB
% 5.14/1.06 % (3967303)Instructions burned: 2 (million)
% 5.14/1.06 % (3967303)------------------------------
% 5.14/1.06 % (3967303)------------------------------
% 5.14/1.06 % (3967302)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=1323913265:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 5.14/1.06 % (3967306)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2294809669:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 5.14/1.06 % (3967306)Refutation not found, incomplete strategy
% 5.14/1.06 % (3967306)------------------------------
% 5.14/1.06 % (3967306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.06 % (3967306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.06 % (3967306)CaDiCaL version: 2.1.3
% 5.14/1.06 % (3967306)Termination reason: Refutation not found, incomplete strategy
% 5.14/1.06 % (3967306)Time elapsed: 0.001 s
% 5.14/1.06 % (3967306)Peak memory usage: 11 MB
% 5.14/1.06 % (3967306)Instructions burned: 1 (million)
% 5.14/1.06 % (3967306)------------------------------
% 5.14/1.06 % (3967306)------------------------------
% 5.14/1.06 % (3967305)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.14/1.06 % (3967305)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3558673785:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 5.14/1.06 % (3967299)Instruction limit reached!
% 5.14/1.06 % (3967299)------------------------------
% 5.14/1.06 % (3967299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.06 % (3967299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.06 % (3967299)CaDiCaL version: 2.1.3
% 5.14/1.06 % (3967299)Termination reason: Instruction limit
% 5.14/1.06 % (3967299)Termination phase: Saturation
% 5.14/1.06 % (3967299)Time elapsed: 0.066 s
% 5.14/1.06 % (3967299)Peak memory usage: 13 MB
% 5.14/1.06 % (3967299)Instructions burned: 138 (million)
% 5.14/1.06 % (3967302)Instruction limit reached!
% 5.14/1.06 % (3967302)------------------------------
% 5.14/1.06 % (3967302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.06 % (3967302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.06 % (3967302)CaDiCaL version: 2.1.3
% 5.14/1.06 % (3967302)Termination reason: Instruction limit
% 5.14/1.06 % (3967302)Termination phase: Saturation
% 5.14/1.06 % (3967302)Time elapsed: 0.031 s
% 5.14/1.06 % (3967302)Peak memory usage: 12 MB
% 5.14/1.06 % (3967302)Instructions burned: 35 (million)
% 5.14/1.06 % (3967311)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2008567281:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.14/1.13 % (3967311)Refutation not found, incomplete strategy
% 5.14/1.13 % (3967311)------------------------------
% 5.14/1.13 % (3967311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.13 % (3967309)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2976117109:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.14/1.13 % (3967311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.13 % (3967311)CaDiCaL version: 2.1.3
% 5.14/1.13 % (3967311)Termination reason: Refutation not found, incomplete strategy
% 5.14/1.13 % (3967311)Time elapsed: 0.001 s
% 5.14/1.13 % (3967311)Peak memory usage: 11 MB
% 5.14/1.13 % (3967311)Instructions burned: 1 (million)
% 5.14/1.13 % (3967311)------------------------------
% 5.14/1.13 % (3967311)------------------------------
% 5.14/1.13 % (3967312)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3142279327:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.14/1.13 % (3967312)Refutation not found, incomplete strategy
% 5.14/1.13 % (3967312)------------------------------
% 5.14/1.13 % (3967312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.13 % (3967312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.13 % (3967312)CaDiCaL version: 2.1.3
% 5.14/1.13 % (3967312)Termination reason: Refutation not found, incomplete strategy
% 5.14/1.13 % (3967312)Time elapsed: 0.001 s
% 5.14/1.13 % (3967312)Peak memory usage: 11 MB
% 5.14/1.13 % (3967312)Instructions burned: 1 (million)
% 5.14/1.13 % (3967312)------------------------------
% 5.14/1.13 % (3967312)------------------------------
% 5.14/1.13 % (3967278)Instruction limit reached!
% 5.14/1.13 % (3967278)------------------------------
% 5.14/1.13 % (3967278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.13 % (3967278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.13 % (3967278)CaDiCaL version: 2.1.3
% 5.14/1.13 % (3967278)Termination reason: Instruction limit
% 5.14/1.13 % (3967278)Termination phase: Saturation
% 5.14/1.13 % (3967278)Time elapsed: 0.253 s
% 5.14/1.13 % (3967278)Peak memory usage: 13 MB
% 5.14/1.13 % (3967278)Instructions burned: 316 (million)
% 5.14/1.13 % (3967317)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3114946509:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.14/1.13 % (3967317)Refutation not found, incomplete strategy
% 5.14/1.13 % (3967317)------------------------------
% 5.14/1.13 % (3967317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.13 % (3967317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.13 % (3967317)CaDiCaL version: 2.1.3
% 5.14/1.13 % (3967317)Termination reason: Refutation not found, incomplete strategy
% 5.14/1.13 % (3967317)Time elapsed: 0.001 s
% 5.14/1.13 % (3967317)Peak memory usage: 11 MB
% 5.14/1.13 % (3967317)Instructions burned: 1 (million)
% 5.14/1.13 % (3967317)------------------------------
% 5.14/1.13 % (3967317)------------------------------
% 5.14/1.13 % (3967315)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=483875987:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.14/1.13 % (3967315)Refutation not found, incomplete strategy
% 5.14/1.13 % (3967315)------------------------------
% 5.14/1.13 % (3967315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.13 % (3967315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.13 % (3967315)CaDiCaL version: 2.1.3
% 5.14/1.13 % (3967315)Termination reason: Refutation not found, incomplete strategy
% 5.14/1.13 % (3967315)Time elapsed: 0.002 s
% 5.14/1.13 % (3967315)Peak memory usage: 12 MB
% 5.14/1.13 % (3967315)Instructions burned: 1 (million)
% 5.14/1.13 % (3967315)------------------------------
% 5.14/1.13 % (3967315)------------------------------
% 5.14/1.13 % (3967320)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4079016883:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 5.14/1.13 % (3967320)Refutation not found, incomplete strategy
% 5.14/1.13 % (3967320)------------------------------
% 5.14/1.13 % (3967320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.14/1.13 % (3967320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.17 % (3967320)CaDiCaL version: 2.1.3
% 5.26/1.17 % (3967320)Termination reason: Refutation not found, incomplete strategy
% 5.26/1.17 % (3967320)Time elapsed: 0.002 s
% 5.26/1.17 % (3967320)Peak memory usage: 12 MB
% 5.26/1.17 % (3967320)Instructions burned: 2 (million)
% 5.26/1.17 % (3967320)------------------------------
% 5.26/1.17 % (3967320)------------------------------
% 5.26/1.17 % (3967318)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1427971021:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.26/1.17 % (3967322)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3473629195:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 5.26/1.17 % (3967324)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=609588960:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.26/1.17 % (3967309)Instruction limit reached!
% 5.26/1.17 % (3967309)------------------------------
% 5.26/1.17 % (3967309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.17 % (3967309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.17 % (3967309)CaDiCaL version: 2.1.3
% 5.26/1.17 % (3967309)Termination reason: Instruction limit
% 5.26/1.17 % (3967309)Termination phase: Saturation
% 5.26/1.17 % (3967309)Time elapsed: 0.076 s
% 5.26/1.17 % (3967309)Peak memory usage: 12 MB
% 5.26/1.17 % (3967309)Instructions burned: 96 (million)
% 5.26/1.17 % (3967318)Instruction limit reached!
% 5.26/1.17 % (3967318)------------------------------
% 5.26/1.17 % (3967318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.17 % (3967318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.17 % (3967318)CaDiCaL version: 2.1.3
% 5.26/1.17 % (3967318)Termination reason: Instruction limit
% 5.26/1.17 % (3967318)Termination phase: Saturation
% 5.26/1.17 % (3967318)Time elapsed: 0.037 s
% 5.26/1.17 % (3967318)Peak memory usage: 12 MB
% 5.26/1.17 % (3967318)Instructions burned: 44 (million)
% 5.26/1.17 % (3967328)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=1805124153:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.26/1.17 % (3967305)Instruction limit reached!
% 5.26/1.17 % (3967305)------------------------------
% 5.26/1.17 % (3967305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.17 % (3967305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.17 % (3967305)CaDiCaL version: 2.1.3
% 5.26/1.17 % (3967305)Termination reason: Instruction limit
% 5.26/1.17 % (3967305)Termination phase: Saturation
% 5.26/1.17 % (3967305)Time elapsed: 0.143 s
% 5.26/1.17 % (3967305)Peak memory usage: 12 MB
% 5.26/1.17 % (3967305)Instructions burned: 180 (million)
% 5.26/1.17 % (3967329)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=193601034:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 5.26/1.17 % (3967324)Instruction limit reached!
% 5.26/1.17 % (3967324)------------------------------
% 5.26/1.17 % (3967324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.17 % (3967324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.17 % (3967324)CaDiCaL version: 2.1.3
% 5.26/1.17 % (3967324)Termination reason: Instruction limit
% 5.26/1.17 % (3967324)Termination phase: Saturation
% 5.26/1.17 % (3967324)Time elapsed: 0.081 s
% 5.26/1.17 % (3967324)Peak memory usage: 12 MB
% 5.26/1.17 % (3967324)Instructions burned: 95 (million)
% 5.26/1.17 % (3967332)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=179107669:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 5.26/1.17 % (3967332)Refutation not found, incomplete strategy
% 5.26/1.17 % (3967332)------------------------------
% 5.26/1.17 % (3967332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.26/1.17 % (3967332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.35 % (3967332)CaDiCaL version: 2.1.3
% 6.24/1.35 % (3967332)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.35 % (3967332)Time elapsed: 0.002 s
% 6.24/1.35 % (3967332)Peak memory usage: 12 MB
% 6.24/1.35 % (3967332)Instructions burned: 1 (million)
% 6.24/1.35 % (3967328)Instruction limit reached!
% 6.24/1.35 % (3967328)------------------------------
% 6.24/1.35 % (3967328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.35 % (3967328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.35 % (3967328)CaDiCaL version: 2.1.3
% 6.24/1.35 % (3967328)Termination reason: Instruction limit
% 6.24/1.35 % (3967328)Termination phase: Saturation
% 6.24/1.35 % (3967328)Time elapsed: 0.056 s
% 6.24/1.35 % (3967328)Peak memory usage: 12 MB
% 6.24/1.35 % (3967328)Instructions burned: 66 (million)
% 6.24/1.35 % (3967332)------------------------------
% 6.24/1.35 % (3967332)------------------------------
% 6.24/1.35 % (3967333)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2146387871:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/375Mi)
% 6.24/1.35 % (3967333)Refutation not found, incomplete strategy
% 6.24/1.35 % (3967333)------------------------------
% 6.24/1.35 % (3967333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.35 % (3967333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.35 % (3967333)CaDiCaL version: 2.1.3
% 6.24/1.35 % (3967333)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.35 % (3967333)Time elapsed: 0.001 s
% 6.24/1.35 % (3967333)Peak memory usage: 11 MB
% 6.24/1.35 % (3967333)Instructions burned: 1 (million)
% 6.24/1.35 % (3967333)------------------------------
% 6.24/1.35 % (3967333)------------------------------
% 6.24/1.35 % (3967322)Instruction limit reached!
% 6.24/1.35 % (3967322)------------------------------
% 6.24/1.35 % (3967322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.35 % (3967322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.35 % (3967322)CaDiCaL version: 2.1.3
% 6.24/1.35 % (3967322)Termination reason: Instruction limit
% 6.24/1.35 % (3967322)Termination phase: Saturation
% 6.24/1.35 % (3967322)Time elapsed: 0.138 s
% 6.24/1.35 % (3967322)Peak memory usage: 13 MB
% 6.24/1.35 % (3967322)Instructions burned: 452 (million)
% 6.24/1.35 % (3967335)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=215474342:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 6.24/1.35 % (3967336)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=70447328:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.24/1.35 % (3967338)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2296996804:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.24/1.35 % (3967329)Instruction limit reached!
% 6.24/1.35 % (3967329)------------------------------
% 6.24/1.35 % (3967329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.35 % (3967329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.35 % (3967329)CaDiCaL version: 2.1.3
% 6.24/1.35 % (3967329)Termination reason: Instruction limit
% 6.24/1.35 % (3967329)Termination phase: Saturation
% 6.24/1.35 % (3967329)Time elapsed: 0.093 s
% 6.24/1.35 % (3967329)Peak memory usage: 12 MB
% 6.24/1.35 % (3967329)Instructions burned: 105 (million)
% 6.24/1.35 % (3967339)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1864690872:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.24/1.35 % (3967339)Refutation not found, incomplete strategy
% 6.24/1.35 % (3967339)------------------------------
% 6.24/1.35 % (3967339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.35 % (3967339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.35 % (3967339)CaDiCaL version: 2.1.3
% 6.24/1.35 % (3967339)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.35 % (3967339)Time elapsed: 0.001 s
% 6.24/1.35 % (3967339)Peak memory usage: 12 MB
% 6.24/1.35 % (3967339)Instructions burned: 1 (million)
% 6.24/1.35 % (3967339)------------------------------
% 6.24/1.35 % (3967339)------------------------------
% 6.24/1.35 % (3967336)Instruction limit reached!
% 6.24/1.35 % (3967336)------------------------------
% 6.53/1.45 % (3967336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.45 % (3967336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.45 % (3967336)CaDiCaL version: 2.1.3
% 6.53/1.45 % (3967336)Termination reason: Instruction limit
% 6.53/1.45 % (3967336)Termination phase: Saturation
% 6.53/1.45 % (3967336)Time elapsed: 0.033 s
% 6.53/1.45 % (3967336)Peak memory usage: 12 MB
% 6.53/1.45 % (3967336)Instructions burned: 34 (million)
% 6.53/1.45 % (3967343)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3961513974:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.53/1.45 % (3967338)Instruction limit reached!
% 6.53/1.45 % (3967338)------------------------------
% 6.53/1.45 % (3967338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.45 % (3967338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.45 % (3967338)CaDiCaL version: 2.1.3
% 6.53/1.45 % (3967338)Termination reason: Instruction limit
% 6.53/1.45 % (3967338)Termination phase: Saturation
% 6.53/1.45 % (3967338)Time elapsed: 0.039 s
% 6.53/1.45 % (3967338)Peak memory usage: 12 MB
% 6.53/1.45 % (3967338)Instructions burned: 93 (million)
% 6.53/1.45 % (3967343)Instruction limit reached!
% 6.53/1.45 % (3967343)------------------------------
% 6.53/1.45 % (3967343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.45 % (3967343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.45 % (3967343)CaDiCaL version: 2.1.3
% 6.53/1.45 % (3967343)Termination reason: Instruction limit
% 6.53/1.45 % (3967343)Termination phase: Saturation
% 6.53/1.45 % (3967343)Time elapsed: 0.012 s
% 6.53/1.45 % (3967343)Peak memory usage: 12 MB
% 6.53/1.45 % (3967343)Instructions burned: 24 (million)
% 6.53/1.45 % (3967280)Instruction limit reached!
% 6.53/1.45 % (3967280)------------------------------
% 6.53/1.45 % (3967280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.45 % (3967280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.45 % (3967280)CaDiCaL version: 2.1.3
% 6.53/1.45 % (3967280)Termination reason: Instruction limit
% 6.53/1.45 % (3967280)Termination phase: Saturation
% 6.53/1.45 % (3967280)Time elapsed: 0.467 s
% 6.53/1.45 % (3967280)Peak memory usage: 13 MB
% 6.53/1.45 % (3967280)Instructions burned: 853 (million)
% 6.53/1.45 % (3967345)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=2518471463:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.53/1.45 % (3967348)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.53/1.45 % (3967346)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4180901846:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.53/1.45 % (3967346)Refutation not found, incomplete strategy
% 6.53/1.45 % (3967346)------------------------------
% 6.53/1.45 % (3967346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.53/1.45 % (3967346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/1.45 % (3967346)CaDiCaL version: 2.1.3
% 6.53/1.45 % (3967346)Termination reason: Refutation not found, incomplete strategy
% 6.53/1.45 % (3967346)Time elapsed: 0.001 s
% 6.53/1.45 % (3967346)Peak memory usage: 11 MB
% 6.53/1.45 % (3967346)Instructions burned: 1 (million)
% 6.53/1.45 % (3967346)------------------------------
% 6.53/1.45 % (3967346)------------------------------
% 6.53/1.45 % (3967348)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2814678616: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)
% 6.53/1.45 % (3967349)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=1185331886:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.53/1.45 % (3967350)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3935321183:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.53/1.45 % (3967350)Refutation not found, incomplete strategy
% 6.53/1.45 % (3967350)------------------------------
% 6.53/1.45 % (3967350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.52 % (3967350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.52 % (3967350)CaDiCaL version: 2.1.3
% 7.65/1.52 % (3967350)Termination reason: Refutation not found, incomplete strategy
% 7.65/1.52 % (3967350)Time elapsed: 0.0000 s
% 7.65/1.52 % (3967350)Peak memory usage: 12 MB
% 7.65/1.52 % (3967350)Instructions burned: 1 (million)
% 7.65/1.52 % (3967350)------------------------------
% 7.65/1.52 % (3967350)------------------------------
% 7.65/1.52 % (3967354)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.65/1.52 % (3967354)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1254390788:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 7.65/1.52 % (3967357)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2495860101:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 7.65/1.52 % (3967348)Instruction limit reached!
% 7.65/1.52 % (3967348)------------------------------
% 7.65/1.52 % (3967348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.52 % (3967348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.52 % (3967348)CaDiCaL version: 2.1.3
% 7.65/1.52 % (3967348)Termination reason: Instruction limit
% 7.65/1.52 % (3967348)Termination phase: Saturation
% 7.65/1.52 % (3967348)Time elapsed: 0.106 s
% 7.65/1.52 % (3967348)Peak memory usage: 12 MB
% 7.65/1.52 % (3967348)Instructions burned: 138 (million)
% 7.65/1.52 % (3967357)Instruction limit reached!
% 7.65/1.52 % (3967357)------------------------------
% 7.65/1.52 % (3967357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.52 % (3967357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.52 % (3967357)CaDiCaL version: 2.1.3
% 7.65/1.52 % (3967357)Termination reason: Instruction limit
% 7.65/1.52 % (3967357)Termination phase: Saturation
% 7.65/1.52 % (3967357)Time elapsed: 0.080 s
% 7.65/1.52 % (3967357)Peak memory usage: 12 MB
% 7.65/1.52 % (3967357)Instructions burned: 117 (million)
% 7.65/1.52 % (3967360)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2842340135:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 7.65/1.52 % (3967360)Refutation not found, incomplete strategy
% 7.65/1.52 % (3967360)------------------------------
% 7.65/1.52 % (3967360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.52 % (3967360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.52 % (3967360)CaDiCaL version: 2.1.3
% 7.65/1.52 % (3967360)Termination reason: Refutation not found, incomplete strategy
% 7.65/1.52 % (3967360)Time elapsed: 0.002 s
% 7.65/1.52 % (3967360)Peak memory usage: 12 MB
% 7.65/1.52 % (3967360)Instructions burned: 2 (million)
% 7.65/1.52 % (3967360)------------------------------
% 7.65/1.52 % (3967360)------------------------------
% 7.65/1.52 % (3967361)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3433100531:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.65/1.52 % (3967363)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=427502500:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/9840Mi)
% 7.65/1.52 % (3967257)Instruction limit reached!
% 7.65/1.52 % (3967257)------------------------------
% 7.65/1.52 % (3967257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.52 % (3967257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.52 % (3967257)CaDiCaL version: 2.1.3
% 7.65/1.52 % (3967257)Termination reason: Instruction limit
% 7.65/1.52 % (3967257)Termination phase: Saturation
% 7.65/1.52 % (3967257)Time elapsed: 0.764 s
% 7.65/1.52 % (3967257)Peak memory usage: 12 MB
% 7.65/1.52 % (3967257)Instructions burned: 1241 (million)
% 7.65/1.52 % (3967354)Instruction limit reached!
% 7.65/1.52 % (3967354)------------------------------
% 7.65/1.52 % (3967354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.52 % (3967354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.59 % (3967354)CaDiCaL version: 2.1.3
% 7.65/1.59 % (3967354)Termination reason: Instruction limit
% 7.65/1.59 % (3967354)Termination phase: Saturation
% 7.65/1.59 % (3967354)Time elapsed: 0.171 s
% 7.65/1.59 % (3967354)Peak memory usage: 13 MB
% 7.65/1.59 % (3967354)Instructions burned: 375 (million)
% 7.65/1.59 % (3967366)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=592385291:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 7.65/1.59 % (3967366)Refutation not found, incomplete strategy
% 7.65/1.59 % (3967366)------------------------------
% 7.65/1.59 % (3967366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.59 % (3967366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.59 % (3967366)CaDiCaL version: 2.1.3
% 7.65/1.59 % (3967366)Termination reason: Refutation not found, incomplete strategy
% 7.65/1.59 % (3967366)Time elapsed: 0.001 s
% 7.65/1.59 % (3967366)Peak memory usage: 12 MB
% 7.65/1.59 % (3967366)Instructions burned: 1 (million)
% 7.65/1.59 % (3967366)------------------------------
% 7.65/1.59 % (3967366)------------------------------
% 7.65/1.59 % (3967367)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.65/1.59 % (3967367)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=3429914482:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 7.65/1.59 % (3967369)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1611502523:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.65/1.59 % (3967369)Instruction limit reached!
% 7.65/1.59 % (3967369)------------------------------
% 7.65/1.59 % (3967369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.59 % (3967369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.59 % (3967369)CaDiCaL version: 2.1.3
% 7.65/1.59 % (3967369)Termination reason: Instruction limit
% 7.65/1.59 % (3967369)Termination phase: Saturation
% 7.65/1.59 % (3967369)Time elapsed: 0.016 s
% 7.65/1.59 % (3967369)Peak memory usage: 12 MB
% 7.65/1.59 % (3967369)Instructions burned: 31 (million)
% 7.65/1.59 % (3967372)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.65/1.59 % (3967372)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.65/1.59 % (3967345)Instruction limit reached!
% 7.65/1.59 % (3967345)------------------------------
% 7.65/1.59 % (3967345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.59 % (3967345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.59 % (3967345)CaDiCaL version: 2.1.3
% 7.65/1.59 % (3967345)Termination reason: Instruction limit
% 7.65/1.59 % (3967345)Termination phase: Saturation
% 7.65/1.59 % (3967345)Time elapsed: 0.277 s
% 7.65/1.59 % (3967345)Peak memory usage: 14 MB
% 7.65/1.59 % (3967345)Instructions burned: 338 (million)
% 7.65/1.59 % (3967372)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=2999266499:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.65/1.59 % (3967349)Instruction limit reached!
% 7.65/1.59 % (3967349)------------------------------
% 7.65/1.59 % (3967349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.59 % (3967349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.59 % (3967349)CaDiCaL version: 2.1.3
% 7.65/1.59 % (3967349)Termination reason: Instruction limit
% 7.65/1.59 % (3967349)Termination phase: Saturation
% 7.65/1.59 % (3967349)Time elapsed: 0.267 s
% 7.65/1.59 % (3967349)Peak memory usage: 13 MB
% 7.65/1.59 % (3967349)Instructions burned: 341 (million)
% 7.65/1.59 % (3967373)dis+10_2_sil=128000:si=on:random_seed=695913806:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2989 on theBenchmark for (2989ds/339Mi)
% 7.65/1.59 % (3967373)Refutation not found, incomplete strategy
% 7.65/1.59 % (3967373)------------------------------
% 7.65/1.59 % (3967373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.73 % (3967373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.73 % (3967373)CaDiCaL version: 2.1.3
% 8.51/1.73 % (3967373)Termination reason: Refutation not found, incomplete strategy
% 8.51/1.73 % (3967373)Time elapsed: 0.001 s
% 8.51/1.73 % (3967373)Peak memory usage: 11 MB
% 8.51/1.73 % (3967373)Instructions burned: 1 (million)
% 8.51/1.73 % (3967373)------------------------------
% 8.51/1.73 % (3967373)------------------------------
% 8.51/1.73 % (3967335)Instruction limit reached!
% 8.51/1.73 % (3967335)------------------------------
% 8.51/1.73 % (3967335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.73 % (3967335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.73 % (3967335)CaDiCaL version: 2.1.3
% 8.51/1.73 % (3967335)Termination reason: Instruction limit
% 8.51/1.73 % (3967335)Termination phase: Saturation
% 8.51/1.73 % (3967335)Time elapsed: 0.370 s
% 8.51/1.73 % (3967335)Peak memory usage: 13 MB
% 8.51/1.73 % (3967335)Instructions burned: 496 (million)
% 8.51/1.73 % (3967375)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=624568878:i=111:add=on:fgj=on:rtra=on:fdi=1024_2989 on theBenchmark for (2989ds/111Mi)
% 8.51/1.73 % (3967377)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=1087563794:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 8.51/1.73 % (3967377)Refutation not found, incomplete strategy
% 8.51/1.73 % (3967377)------------------------------
% 8.51/1.73 % (3967377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.73 % (3967377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.73 % (3967377)CaDiCaL version: 2.1.3
% 8.51/1.73 % (3967377)Termination reason: Refutation not found, incomplete strategy
% 8.51/1.73 % (3967377)Time elapsed: 0.001 s
% 8.51/1.73 % (3967377)Peak memory usage: 11 MB
% 8.51/1.73 % (3967377)Instructions burned: 1 (million)
% 8.51/1.73 % (3967377)------------------------------
% 8.51/1.73 % (3967377)------------------------------
% 8.51/1.73 % (3967381)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2047942000:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.51/1.73 % (3967381)Refutation not found, incomplete strategy
% 8.51/1.73 % (3967381)------------------------------
% 8.51/1.73 % (3967381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.73 % (3967381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.73 % (3967381)CaDiCaL version: 2.1.3
% 8.51/1.73 % (3967381)Termination reason: Refutation not found, incomplete strategy
% 8.51/1.73 % (3967381)Time elapsed: 0.001 s
% 8.51/1.73 % (3967381)Peak memory usage: 11 MB
% 8.51/1.73 % (3967381)Instructions burned: 1 (million)
% 8.51/1.73 % (3967378)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=3561667186:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.51/1.73 % (3967381)------------------------------
% 8.51/1.73 % (3967381)------------------------------
% 8.51/1.73 % (3967378)Refutation not found, incomplete strategy
% 8.51/1.73 % (3967378)------------------------------
% 8.51/1.73 % (3967378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.73 % (3967378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.73 % (3967378)CaDiCaL version: 2.1.3
% 8.51/1.73 % (3967378)Termination reason: Refutation not found, incomplete strategy
% 8.51/1.73 % (3967378)Time elapsed: 0.003 s
% 8.51/1.73 % (3967378)Peak memory usage: 12 MB
% 8.51/1.73 % (3967378)Instructions burned: 2 (million)
% 8.51/1.73 % (3967378)------------------------------
% 8.51/1.73 % (3967378)------------------------------
% 8.51/1.73 % (3967384)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=2162886611:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 8.51/1.73 % (3967384)Refutation not found, incomplete strategy
% 8.51/1.73 % (3967384)------------------------------
% 8.51/1.73 % (3967384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.51/1.73 % (3967384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.83 % (3967384)CaDiCaL version: 2.1.3
% 9.11/1.83 % (3967384)Termination reason: Refutation not found, incomplete strategy
% 9.11/1.83 % (3967384)Time elapsed: 0.002 s
% 9.11/1.83 % (3967384)Peak memory usage: 11 MB
% 9.11/1.83 % (3967384)Instructions burned: 3 (million)
% 9.11/1.83 % (3967384)------------------------------
% 9.11/1.83 % (3967384)------------------------------
% 9.11/1.83 % (3967385)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.11/1.83 % (3967361)Instruction limit reached!
% 9.11/1.83 % (3967361)------------------------------
% 9.11/1.83 % (3967361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.83 % (3967361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.83 % (3967361)CaDiCaL version: 2.1.3
% 9.11/1.83 % (3967361)Termination reason: Instruction limit
% 9.11/1.83 % (3967361)Termination phase: Saturation
% 9.11/1.83 % (3967361)Time elapsed: 0.213 s
% 9.11/1.83 % (3967361)Peak memory usage: 12 MB
% 9.11/1.83 % (3967361)Instructions burned: 270 (million)
% 9.11/1.83 % (3967385)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=2891879896:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 9.11/1.83 % (3967387)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3038502152:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 9.11/1.83 % (3967387)Refutation not found, incomplete strategy
% 9.11/1.83 % (3967387)------------------------------
% 9.11/1.83 % (3967387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.83 % (3967387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.83 % (3967387)CaDiCaL version: 2.1.3
% 9.11/1.83 % (3967387)Termination reason: Refutation not found, incomplete strategy
% 9.11/1.83 % (3967387)Time elapsed: 0.002 s
% 9.11/1.83 % (3967387)Peak memory usage: 13 MB
% 9.11/1.83 % (3967387)Instructions burned: 3 (million)
% 9.11/1.83 % (3967387)------------------------------
% 9.11/1.83 % (3967387)------------------------------
% 9.11/1.83 % (3967388)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=571122492:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 9.11/1.83 % (3967375)Instruction limit reached!
% 9.11/1.83 % (3967375)------------------------------
% 9.11/1.83 % (3967375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.83 % (3967375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.83 % (3967375)CaDiCaL version: 2.1.3
% 9.11/1.83 % (3967375)Termination reason: Instruction limit
% 9.11/1.83 % (3967375)Termination phase: Saturation
% 9.11/1.83 % (3967375)Time elapsed: 0.090 s
% 9.11/1.83 % (3967375)Peak memory usage: 12 MB
% 9.11/1.83 % (3967375)Instructions burned: 112 (million)
% 9.11/1.83 % (3967391)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2917598068:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/212Mi)
% 9.11/1.83 % (3967391)Refutation not found, incomplete strategy
% 9.11/1.83 % (3967391)------------------------------
% 9.11/1.83 % (3967391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.83 % (3967391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.83 % (3967391)CaDiCaL version: 2.1.3
% 9.11/1.83 % (3967391)Termination reason: Refutation not found, incomplete strategy
% 9.11/1.83 % (3967391)Time elapsed: 0.001 s
% 9.11/1.83 % (3967391)Peak memory usage: 11 MB
% 9.11/1.83 % (3967391)Instructions burned: 1 (million)
% 9.11/1.83 % (3967391)------------------------------
% 9.11/1.83 % (3967391)------------------------------
% 9.11/1.83 % (3967367)Instruction limit reached!
% 9.11/1.83 % (3967367)------------------------------
% 9.11/1.83 % (3967367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.83 % (3967367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.83 % (3967367)CaDiCaL version: 2.1.3
% 9.11/1.83 % (3967367)Termination reason: Instruction limit
% 9.11/1.83 % (3967367)Termination phase: Saturation
% 9.11/1.83 % (3967367)Time elapsed: 0.185 s
% 9.11/1.83 % (3967367)Peak memory usage: 12 MB
% 9.11/1.83 % (3967367)Instructions burned: 270 (million)
% 9.11/1.83 % (3967395)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2605749837:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 9.44/1.96 % (3967395)Refutation not found, incomplete strategy
% 9.44/1.96 % (3967395)------------------------------
% 9.44/1.96 % (3967395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/1.96 % (3967395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/1.96 % (3967395)CaDiCaL version: 2.1.3
% 9.44/1.96 % (3967395)Termination reason: Refutation not found, incomplete strategy
% 9.44/1.96 % (3967395)Time elapsed: 0.001 s
% 9.44/1.96 % (3967395)Peak memory usage: 11 MB
% 9.44/1.96 % (3967395)Instructions burned: 2 (million)
% 9.44/1.96 % (3967395)------------------------------
% 9.44/1.96 % (3967395)------------------------------
% 9.44/1.96 % (3967394)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3425481201:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.44/1.96 % (3967394)Refutation not found, incomplete strategy
% 9.44/1.96 % (3967394)------------------------------
% 9.44/1.96 % (3967394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/1.96 % (3967394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/1.96 % (3967394)CaDiCaL version: 2.1.3
% 9.44/1.96 % (3967394)Termination reason: Refutation not found, incomplete strategy
% 9.44/1.96 % (3967394)Time elapsed: 0.001 s
% 9.44/1.96 % (3967394)Peak memory usage: 12 MB
% 9.44/1.96 % (3967394)Instructions burned: 1 (million)
% 9.44/1.96 % (3967394)------------------------------
% 9.44/1.96 % (3967394)------------------------------
% 9.44/1.96 % (3967396)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3336450268:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 9.44/1.96 % (3967398)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1027428206:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 9.44/1.96 % (3967400)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=119633535:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 9.44/1.96 % (3967400)Refutation not found, incomplete strategy
% 9.44/1.96 % (3967400)------------------------------
% 9.44/1.96 % (3967400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/1.96 % (3967400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/1.96 % (3967400)CaDiCaL version: 2.1.3
% 9.44/1.96 % (3967400)Termination reason: Refutation not found, incomplete strategy
% 9.44/1.96 % (3967400)Time elapsed: 0.001 s
% 9.44/1.96 % (3967400)Peak memory usage: 11 MB
% 9.44/1.96 % (3967400)Instructions burned: 1 (million)
% 9.44/1.96 % (3967400)------------------------------
% 9.44/1.96 % (3967400)------------------------------
% 9.44/1.96 % (3967404)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=3156044471:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 9.44/1.96 % (3967398)Instruction limit reached!
% 9.44/1.96 % (3967398)------------------------------
% 9.44/1.96 % (3967398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/1.96 % (3967398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/1.96 % (3967398)CaDiCaL version: 2.1.3
% 9.44/1.96 % (3967398)Termination reason: Instruction limit
% 9.44/1.96 % (3967398)Termination phase: Saturation
% 9.44/1.96 % (3967398)Time elapsed: 0.059 s
% 9.44/1.96 % (3967398)Peak memory usage: 12 MB
% 9.44/1.96 % (3967398)Instructions burned: 75 (million)
% 9.44/1.96 % (3967406)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=945228349:i=161:piset=and:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/161Mi)
% 9.44/1.96 % (3967404)Instruction limit reached!
% 9.44/1.96 % (3967404)------------------------------
% 9.44/1.96 % (3967404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.44/1.96 % (3967404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/1.96 % (3967404)CaDiCaL version: 2.1.3
% 9.44/1.96 % (3967404)Termination reason: Instruction limit
% 9.44/1.96 % (3967404)Termination phase: Saturation
% 9.44/1.96 % (3967404)Time elapsed: 0.077 s
% 9.44/1.96 % (3967404)Peak memory usage: 12 MB
% 9.44/1.96 % (3967404)Instructions burned: 149 (million)
% 9.44/1.96 % (3967396)Instruction limit reached!
% 9.44/1.96 % (3967396)------------------------------
% 13.68/2.35 % (3967396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.68/2.35 % (3967396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.35 % (3967396)CaDiCaL version: 2.1.3
% 13.68/2.35 % (3967396)Termination reason: Instruction limit
% 13.68/2.35 % (3967396)Termination phase: Saturation
% 13.68/2.35 % (3967396)Time elapsed: 0.125 s
% 13.68/2.35 % (3967396)Peak memory usage: 12 MB
% 13.68/2.35 % (3967396)Instructions burned: 152 (million)
% 13.68/2.35 % (3967408)lrs+10_1_sil=128000:si=on:random_seed=3849486274:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/888Mi)
% 13.68/2.35 % (3967408)Refutation not found, incomplete strategy
% 13.68/2.35 % (3967408)------------------------------
% 13.68/2.35 % (3967408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.68/2.35 % (3967408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.35 % (3967408)CaDiCaL version: 2.1.3
% 13.68/2.35 % (3967408)Termination reason: Refutation not found, incomplete strategy
% 13.68/2.35 % (3967408)Time elapsed: 0.001 s
% 13.68/2.35 % (3967408)Peak memory usage: 11 MB
% 13.68/2.35 % (3967408)Instructions burned: 1 (million)
% 13.68/2.35 % (3967408)------------------------------
% 13.68/2.35 % (3967408)------------------------------
% 13.68/2.35 % (3967411)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=2118577276:i=88:s2at=3:nm=2:rtra=on:rawr=on_2985 on theBenchmark for (2985ds/88Mi)
% 13.68/2.35 % (3967409)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=926336320:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 13.68/2.35 % (3967409)Refutation not found, incomplete strategy
% 13.68/2.35 % (3967409)------------------------------
% 13.68/2.35 % (3967409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.68/2.35 % (3967409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.35 % (3967409)CaDiCaL version: 2.1.3
% 13.68/2.35 % (3967409)Termination reason: Refutation not found, incomplete strategy
% 13.68/2.35 % (3967409)Time elapsed: 0.004 s
% 13.68/2.35 % (3967409)Peak memory usage: 12 MB
% 13.68/2.35 % (3967409)Instructions burned: 3 (million)
% 13.68/2.35 % (3967409)------------------------------
% 13.68/2.35 % (3967409)------------------------------
% 13.68/2.35 % (3967385)Instruction limit reached!
% 13.68/2.35 % (3967385)------------------------------
% 13.68/2.35 % (3967385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.68/2.35 % (3967385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.35 % (3967385)CaDiCaL version: 2.1.3
% 13.68/2.35 % (3967385)Termination reason: Instruction limit
% 13.68/2.35 % (3967385)Termination phase: Saturation
% 13.68/2.35 % (3967385)Time elapsed: 0.248 s
% 13.68/2.35 % (3967385)Peak memory usage: 13 MB
% 13.68/2.35 % (3967385)Instructions burned: 281 (million)
% 13.68/2.35 % (3967414)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=8712479:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2985 on theBenchmark for (2985ds/93Mi)
% 13.68/2.35 % (3967406)Instruction limit reached!
% 13.68/2.35 % (3967406)------------------------------
% 13.68/2.35 % (3967406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.68/2.35 % (3967406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.35 % (3967406)CaDiCaL version: 2.1.3
% 13.68/2.35 % (3967406)Termination reason: Instruction limit
% 13.68/2.35 % (3967406)Termination phase: Saturation
% 13.68/2.35 % (3967406)Time elapsed: 0.100 s
% 13.68/2.35 % (3967406)Peak memory usage: 13 MB
% 13.68/2.35 % (3967406)Instructions burned: 163 (million)
% 13.68/2.35 % (3967415)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3695768488:i=2186:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/2186Mi)
% 13.68/2.35 % (3967411)Instruction limit reached!
% 13.68/2.35 % (3967411)------------------------------
% 13.68/2.35 % (3967411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.68/2.35 % (3967411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.35 % (3967411)CaDiCaL version: 2.1.3
% 13.68/2.35 % (3967411)Termination reason: Instruction limit
% 13.68/2.35 % (3967411)Termination phase: Saturation
% 13.68/2.35 % (3967411)Time elapsed: 0.063 s
% 14.85/2.52 % (3967411)Peak memory usage: 12 MB
% 14.85/2.52 % (3967411)Instructions burned: 89 (million)
% 14.85/2.52 % (3967417)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2144769464:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 14.85/2.52 % (3967419)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1139547710:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/805Mi)
% 14.85/2.52 % (3967414)Instruction limit reached!
% 14.85/2.52 % (3967414)------------------------------
% 14.85/2.52 % (3967414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.52 % (3967414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.52 % (3967414)CaDiCaL version: 2.1.3
% 14.85/2.52 % (3967414)Termination reason: Instruction limit
% 14.85/2.52 % (3967414)Termination phase: Saturation
% 14.85/2.52 % (3967414)Time elapsed: 0.078 s
% 14.85/2.52 % (3967414)Peak memory usage: 12 MB
% 14.85/2.52 % (3967414)Instructions burned: 93 (million)
% 14.85/2.52 % (3967422)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 14.85/2.53 % (3967388)Instruction limit reached!
% 14.85/2.53 % (3967388)------------------------------
% 14.85/2.53 % (3967388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.53 % (3967388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.53 % (3967388)CaDiCaL version: 2.1.3
% 14.85/2.53 % (3967388)Termination reason: Instruction limit
% 14.85/2.53 % (3967388)Termination phase: Saturation
% 14.85/2.53 % (3967388)Time elapsed: 0.354 s
% 14.85/2.53 % (3967388)Peak memory usage: 16 MB
% 14.85/2.53 % (3967388)Instructions burned: 866 (million)
% 14.85/2.53 % (3967422)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=1905859290:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2984 on theBenchmark for (2984ds/391Mi)
% 14.85/2.53 % (3967422)Refutation not found, incomplete strategy
% 14.85/2.53 % (3967422)------------------------------
% 14.85/2.53 % (3967422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.53 % (3967422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.53 % (3967422)CaDiCaL version: 2.1.3
% 14.85/2.53 % (3967422)Termination reason: Refutation not found, incomplete strategy
% 14.85/2.53 % (3967422)Time elapsed: 0.002 s
% 14.85/2.53 % (3967422)Peak memory usage: 12 MB
% 14.85/2.53 % (3967422)Instructions burned: 2 (million)
% 14.85/2.53 % (3967422)------------------------------
% 14.85/2.53 % (3967422)------------------------------
% 14.85/2.53 % (3967423)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2468579714:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 14.85/2.53 % (3967425)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=973199069:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/314Mi)
% 14.85/2.53 % (3967425)Refutation not found, incomplete strategy
% 14.85/2.53 % (3967425)------------------------------
% 14.85/2.53 % (3967425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.53 % (3967425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.53 % (3967425)CaDiCaL version: 2.1.3
% 14.85/2.53 % (3967425)Termination reason: Refutation not found, incomplete strategy
% 14.85/2.53 % (3967425)Time elapsed: 0.001 s
% 14.85/2.53 % (3967425)Peak memory usage: 11 MB
% 14.85/2.53 % (3967425)Instructions burned: 1 (million)
% 14.85/2.53 % (3967425)------------------------------
% 14.85/2.53 % (3967425)------------------------------
% 14.85/2.53 % (3967428)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3966685229:s2a=on:i=251:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/251Mi)
% 14.85/2.53 % (3967417)Instruction limit reached!
% 14.85/2.53 % (3967417)------------------------------
% 14.85/2.53 % (3967417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.53 % (3967417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.53 % (3967417)CaDiCaL version: 2.1.3
% 14.85/2.53 % (3967417)Termination reason: Instruction limit
% 14.85/2.53 % (3967417)Termination phase: Saturation
% 14.85/2.53 % (3967417)Time elapsed: 0.127 s
% 14.85/2.53 % (3967417)Peak memory usage: 13 MB
% 14.85/2.53 % (3967417)Instructions burned: 240 (million)
% 15.78/2.66 % (3967430)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=831335317:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2983 on theBenchmark for (2983ds/2470Mi)
% 15.78/2.66 % (3967423)Instruction limit reached!
% 15.78/2.66 % (3967423)------------------------------
% 15.78/2.66 % (3967423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.78/2.66 % (3967423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/2.66 % (3967423)CaDiCaL version: 2.1.3
% 15.78/2.66 % (3967423)Termination reason: Instruction limit
% 15.78/2.66 % (3967423)Termination phase: Saturation
% 15.78/2.66 % (3967423)Time elapsed: 0.145 s
% 15.78/2.66 % (3967423)Peak memory usage: 12 MB
% 15.78/2.66 % (3967423)Instructions burned: 356 (million)
% 15.78/2.66 % (3967432)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2132127705:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2982 on theBenchmark for (2982ds/673Mi)
% 15.78/2.67 % (3967428)Instruction limit reached!
% 15.78/2.67 % (3967428)------------------------------
% 15.78/2.67 % (3967428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.78/2.67 % (3967428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/2.67 % (3967428)CaDiCaL version: 2.1.3
% 15.78/2.67 % (3967428)Termination reason: Instruction limit
% 15.78/2.67 % (3967428)Termination phase: Saturation
% 15.78/2.67 % (3967428)Time elapsed: 0.221 s
% 15.78/2.67 % (3967428)Peak memory usage: 12 MB
% 15.78/2.67 % (3967428)Instructions burned: 252 (million)
% 15.78/2.67 % (3967434)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=220300217:i=116:ep=RSTC:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/116Mi)
% 15.78/2.67 % (3967372)Instruction limit reached!
% 15.78/2.67 % (3967372)------------------------------
% 15.78/2.67 % (3967372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.78/2.67 % (3967372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/2.67 % (3967372)CaDiCaL version: 2.1.3
% 15.78/2.67 % (3967372)Termination reason: Instruction limit
% 15.78/2.67 % (3967372)Termination phase: Saturation
% 15.78/2.67 % (3967372)Time elapsed: 0.823 s
% 15.78/2.67 % (3967372)Peak memory usage: 13 MB
% 15.78/2.67 % (3967372)Instructions burned: 1441 (million)
% 15.78/2.67 % (3967436)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3549698585:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2980 on theBenchmark for (2980ds/270Mi)
% 15.78/2.67 % (3967434)Instruction limit reached!
% 15.78/2.67 % (3967434)------------------------------
% 15.78/2.67 % (3967434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.78/2.67 % (3967434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/2.67 % (3967434)CaDiCaL version: 2.1.3
% 15.78/2.67 % (3967434)Termination reason: Instruction limit
% 15.78/2.67 % (3967434)Termination phase: Saturation
% 15.78/2.67 % (3967434)Time elapsed: 0.095 s
% 15.78/2.67 % (3967434)Peak memory usage: 12 MB
% 15.78/2.67 % (3967434)Instructions burned: 116 (million)
% 15.78/2.67 % (3967438)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=35458707: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_2980 on theBenchmark for (2980ds/30Mi)
% 15.78/2.67 % (3967432)Instruction limit reached!
% 15.78/2.67 % (3967432)------------------------------
% 15.78/2.67 % (3967432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.78/2.67 % (3967432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.78/2.67 % (3967432)CaDiCaL version: 2.1.3
% 15.78/2.67 % (3967432)Termination reason: Instruction limit
% 15.78/2.67 % (3967432)Termination phase: Saturation
% 15.78/2.67 % (3967432)Time elapsed: 0.257 s
% 15.78/2.67 % (3967432)Peak memory usage: 12 MB
% 15.78/2.67 % (3967432)Instructions burned: 674 (million)
% 15.78/2.67 % (3967438)Instruction limit reached!
% 15.78/2.67 % (3967438)------------------------------
% 15.78/2.67 % (3967438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.78/2.67 % (3967438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/2.97 % (3967438)CaDiCaL version: 2.1.3
% 17.41/2.97 % (3967438)Termination reason: Instruction limit
% 17.41/2.97 % (3967438)Termination phase: Saturation
% 17.41/2.97 % (3967438)Time elapsed: 0.023 s
% 17.41/2.97 % (3967438)Peak memory usage: 12 MB
% 17.41/2.97 % (3967438)Instructions burned: 30 (million)
% 17.41/2.97 % (3967440)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 17.41/2.97 % (3967441)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=427613029:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 17.41/2.97 % (3967440)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3225478319:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 17.41/2.97 % (3967440)Instruction limit reached!
% 17.41/2.97 % (3967440)------------------------------
% 17.41/2.97 % (3967440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/2.97 % (3967440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/2.97 % (3967440)CaDiCaL version: 2.1.3
% 17.41/2.97 % (3967440)Termination reason: Instruction limit
% 17.41/2.97 % (3967440)Termination phase: Saturation
% 17.41/2.97 % (3967440)Time elapsed: 0.023 s
% 17.41/2.97 % (3967440)Peak memory usage: 12 MB
% 17.41/2.97 % (3967440)Instructions burned: 39 (million)
% 17.41/2.97 % (3967444)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=850904373:i=158:av=off:rtra=on_2979 on theBenchmark for (2979ds/158Mi)
% 17.41/2.97 % (3967419)Instruction limit reached!
% 17.41/2.97 % (3967419)------------------------------
% 17.41/2.97 % (3967419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/2.97 % (3967419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/2.97 % (3967419)CaDiCaL version: 2.1.3
% 17.41/2.97 % (3967419)Termination reason: Instruction limit
% 17.41/2.97 % (3967419)Termination phase: Saturation
% 17.41/2.97 % (3967419)Time elapsed: 0.580 s
% 17.41/2.97 % (3967419)Peak memory usage: 13 MB
% 17.41/2.97 % (3967419)Instructions burned: 806 (million)
% 17.41/2.97 % (3967446)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
% 17.41/2.97 % (3967446)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=2691267397:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 17.41/2.97 % (3967441)Instruction limit reached!
% 17.41/2.97 % (3967441)------------------------------
% 17.41/2.97 % (3967441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/2.97 % (3967441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/2.97 % (3967441)CaDiCaL version: 2.1.3
% 17.41/2.97 % (3967441)Termination reason: Instruction limit
% 17.41/2.97 % (3967441)Termination phase: Saturation
% 17.41/2.97 % (3967441)Time elapsed: 0.132 s
% 17.41/2.97 % (3967441)Peak memory usage: 13 MB
% 17.41/2.97 % (3967441)Instructions burned: 368 (million)
% 17.41/2.97 % (3967436)Instruction limit reached!
% 17.41/2.97 % (3967436)------------------------------
% 17.41/2.97 % (3967436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/2.97 % (3967436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/2.97 % (3967436)CaDiCaL version: 2.1.3
% 17.41/2.97 % (3967436)Termination reason: Instruction limit
% 17.41/2.97 % (3967436)Termination phase: Saturation
% 17.41/2.97 % (3967436)Time elapsed: 0.216 s
% 17.41/2.97 % (3967436)Peak memory usage: 13 MB
% 17.41/2.97 % (3967436)Instructions burned: 271 (million)
% 17.41/2.97 % (3967448)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2663974991:i=213:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/213Mi)
% 17.41/2.97 % (3967448)Refutation not found, incomplete strategy
% 17.41/2.97 % (3967448)------------------------------
% 17.41/2.97 % (3967448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/2.97 % (3967448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/2.97 % (3967448)CaDiCaL version: 2.1.3
% 17.41/2.97 % (3967448)Termination reason: Refutation not found, incomplete strategy
% 17.41/2.97 % (3967448)Time elapsed: 0.001 s
% 17.41/2.97 % (3967448)Peak memory usage: 11 MB
% 17.41/2.97 % (3967448)Instructions burned: 1 (million)
% 17.41/3.05 % (3967448)------------------------------
% 17.41/3.05 % (3967448)------------------------------
% 17.41/3.05 % (3967449)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=3270975828:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/160Mi)
% 17.41/3.05 % (3967449)Refutation not found, incomplete strategy
% 17.41/3.05 % (3967449)------------------------------
% 17.41/3.05 % (3967449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/3.05 % (3967449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.05 % (3967449)CaDiCaL version: 2.1.3
% 17.41/3.05 % (3967449)Termination reason: Refutation not found, incomplete strategy
% 17.41/3.05 % (3967449)Time elapsed: 0.001 s
% 17.41/3.05 % (3967449)Peak memory usage: 11 MB
% 17.41/3.05 % (3967449)Instructions burned: 1 (million)
% 17.41/3.05 % (3967449)------------------------------
% 17.41/3.05 % (3967449)------------------------------
% 17.41/3.05 % (3967453)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 17.41/3.05 % (3967453)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=3380322157:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2978 on theBenchmark for (2978ds/237Mi)
% 17.41/3.05 % (3967453)Refutation not found, incomplete strategy
% 17.41/3.05 % (3967453)------------------------------
% 17.41/3.05 % (3967453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/3.05 % (3967453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.05 % (3967453)CaDiCaL version: 2.1.3
% 17.41/3.05 % (3967453)Termination reason: Refutation not found, incomplete strategy
% 17.41/3.05 % (3967453)Time elapsed: 0.001 s
% 17.41/3.05 % (3967453)Peak memory usage: 11 MB
% 17.41/3.05 % (3967453)Instructions burned: 1 (million)
% 17.41/3.05 % (3967453)------------------------------
% 17.41/3.05 % (3967453)------------------------------
% 17.41/3.05 % (3967451)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2407337635:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/763Mi)
% 17.41/3.05 % (3967444)Instruction limit reached!
% 17.41/3.05 % (3967444)------------------------------
% 17.41/3.05 % (3967444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/3.05 % (3967444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.05 % (3967444)CaDiCaL version: 2.1.3
% 17.41/3.05 % (3967444)Termination reason: Instruction limit
% 17.41/3.05 % (3967444)Termination phase: Saturation
% 17.41/3.05 % (3967444)Time elapsed: 0.136 s
% 17.41/3.05 % (3967444)Peak memory usage: 12 MB
% 17.41/3.05 % (3967444)Instructions burned: 158 (million)
% 17.41/3.05 % (3967455)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2969782495:s2a=on:i=386:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/386Mi)
% 17.41/3.05 % (3967457)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3999698849:i=300:piset=and:nm=32:rtra=on_2977 on theBenchmark for (2977ds/300Mi)
% 17.41/3.05 % (3967446)Instruction limit reached!
% 17.41/3.05 % (3967446)------------------------------
% 17.41/3.05 % (3967446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/3.05 % (3967446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.05 % (3967446)CaDiCaL version: 2.1.3
% 17.41/3.05 % (3967446)Termination reason: Instruction limit
% 17.41/3.05 % (3967446)Termination phase: Saturation
% 17.41/3.05 % (3967446)Time elapsed: 0.166 s
% 17.41/3.05 % (3967446)Peak memory usage: 12 MB
% 17.41/3.05 % (3967446)Instructions burned: 253 (million)
% 17.41/3.05 % (3967460)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3506413796:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 17.41/3.05 % (3967460)Refutation not found, incomplete strategy
% 17.41/3.05 % (3967460)------------------------------
% 17.41/3.05 % (3967460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/3.05 % (3967460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.05 % (3967460)CaDiCaL version: 2.1.3
% 17.41/3.05 % (3967460)Termination reason: Refutation not found, incomplete strategy
% 19.21/3.14 % (3967460)Time elapsed: 0.002 s
% 19.21/3.14 % (3967460)Peak memory usage: 11 MB
% 19.21/3.14 % (3967460)Instructions burned: 2 (million)
% 19.21/3.14 % (3967460)------------------------------
% 19.21/3.14 % (3967460)------------------------------
% 19.21/3.14 % (3967462)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1366160639:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 19.21/3.14 % (3967462)Refutation not found, incomplete strategy
% 19.21/3.14 % (3967462)------------------------------
% 19.21/3.14 % (3967462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.14 % (3967462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.14 % (3967462)CaDiCaL version: 2.1.3
% 19.21/3.14 % (3967462)Termination reason: Refutation not found, incomplete strategy
% 19.21/3.14 % (3967462)Time elapsed: 0.001 s
% 19.21/3.14 % (3967462)Peak memory usage: 11 MB
% 19.21/3.14 % (3967462)Instructions burned: 1 (million)
% 19.21/3.14 % (3967462)------------------------------
% 19.21/3.14 % (3967462)------------------------------
% 19.21/3.14 % (3967457)Instruction limit reached!
% 19.21/3.14 % (3967457)------------------------------
% 19.21/3.14 % (3967457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.14 % (3967457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.14 % (3967457)CaDiCaL version: 2.1.3
% 19.21/3.14 % (3967457)Termination reason: Instruction limit
% 19.21/3.14 % (3967457)Termination phase: Saturation
% 19.21/3.14 % (3967457)Time elapsed: 0.121 s
% 19.21/3.14 % (3967457)Peak memory usage: 12 MB
% 19.21/3.14 % (3967457)Instructions burned: 302 (million)
% 19.21/3.14 % (3967464)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2185287380:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2976 on theBenchmark for (2976ds/429Mi)
% 19.21/3.14 % (3967465)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3256439028:i=478:bd=all:rtra=on_2976 on theBenchmark for (2976ds/478Mi)
% 19.21/3.14 % (3967465)Refutation not found, incomplete strategy
% 19.21/3.14 % (3967465)------------------------------
% 19.21/3.14 % (3967465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.14 % (3967465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.14 % (3967465)CaDiCaL version: 2.1.3
% 19.21/3.14 % (3967465)Termination reason: Refutation not found, incomplete strategy
% 19.21/3.14 % (3967465)Time elapsed: 0.002 s
% 19.21/3.14 % (3967465)Peak memory usage: 12 MB
% 19.21/3.14 % (3967465)Instructions burned: 2 (million)
% 19.21/3.14 % (3967465)------------------------------
% 19.21/3.14 % (3967465)------------------------------
% 19.21/3.14 % (3967468)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1283277070:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2976 on theBenchmark for (2976ds/445Mi)
% 19.21/3.14 % (3967455)Instruction limit reached!
% 19.21/3.14 % (3967455)------------------------------
% 19.21/3.14 % (3967455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.14 % (3967455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.14 % (3967455)CaDiCaL version: 2.1.3
% 19.21/3.14 % (3967455)Termination reason: Instruction limit
% 19.21/3.14 % (3967455)Termination phase: Saturation
% 19.21/3.14 % (3967455)Time elapsed: 0.295 s
% 19.21/3.14 % (3967455)Peak memory usage: 12 MB
% 19.21/3.14 % (3967455)Instructions burned: 387 (million)
% 19.21/3.14 % (3967470)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2470497278:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/71Mi)
% 19.21/3.14 % (3967468)Instruction limit reached!
% 19.21/3.14 % (3967468)------------------------------
% 19.21/3.14 % (3967468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.14 % (3967468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.21/3.14 % (3967468)CaDiCaL version: 2.1.3
% 19.21/3.14 % (3967468)Termination reason: Instruction limit
% 19.21/3.14 % (3967468)Termination phase: Saturation
% 19.21/3.14 % (3967468)Time elapsed: 0.209 s
% 19.21/3.14 % (3967468)Peak memory usage: 14 MB
% 19.21/3.14 % (3967468)Instructions burned: 446 (million)
% 19.21/3.14 % (3967470)Instruction limit reached!
% 19.21/3.14 % (3967470)------------------------------
% 19.21/3.14 % (3967470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.21/3.14 % (3967470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.27 % (3967470)CaDiCaL version: 2.1.3
% 19.91/3.27 % (3967470)Termination reason: Instruction limit
% 19.91/3.27 % (3967470)Termination phase: Saturation
% 19.91/3.27 % (3967470)Time elapsed: 0.071 s
% 19.91/3.27 % (3967470)Peak memory usage: 12 MB
% 19.91/3.27 % (3967470)Instructions burned: 71 (million)
% 19.91/3.27 % (3967451)Instruction limit reached!
% 19.91/3.27 % (3967451)------------------------------
% 19.91/3.27 % (3967451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.91/3.27 % (3967451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.27 % (3967451)CaDiCaL version: 2.1.3
% 19.91/3.27 % (3967451)Termination reason: Instruction limit
% 19.91/3.27 % (3967451)Termination phase: Saturation
% 19.91/3.27 % (3967451)Time elapsed: 0.432 s
% 19.91/3.27 % (3967451)Peak memory usage: 14 MB
% 19.91/3.27 % (3967451)Instructions burned: 764 (million)
% 19.91/3.27 % (3967472)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3365856469:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/302Mi)
% 19.91/3.27 % (3967472)Refutation not found, incomplete strategy
% 19.91/3.27 % (3967472)------------------------------
% 19.91/3.27 % (3967472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.91/3.27 % (3967472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.27 % (3967472)CaDiCaL version: 2.1.3
% 19.91/3.27 % (3967472)Termination reason: Refutation not found, incomplete strategy
% 19.91/3.27 % (3967472)Time elapsed: 0.002 s
% 19.91/3.27 % (3967472)Peak memory usage: 11 MB
% 19.91/3.27 % (3967472)Instructions burned: 1 (million)
% 19.91/3.27 % (3967472)------------------------------
% 19.91/3.27 % (3967472)------------------------------
% 19.91/3.27 % (3967473)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3376263066:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/4980Mi)
% 19.91/3.27 % (3967473)Refutation not found, incomplete strategy
% 19.91/3.27 % (3967473)------------------------------
% 19.91/3.27 % (3967473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.91/3.27 % (3967473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.27 % (3967473)CaDiCaL version: 2.1.3
% 19.91/3.27 % (3967473)Termination reason: Refutation not found, incomplete strategy
% 19.91/3.27 % (3967473)Time elapsed: 0.004 s
% 19.91/3.27 % (3967473)Peak memory usage: 11 MB
% 19.91/3.27 % (3967473)Instructions burned: 1 (million)
% 19.91/3.27 % (3967473)------------------------------
% 19.91/3.27 % (3967473)------------------------------
% 19.91/3.27 % (3967464)Instruction limit reached!
% 19.91/3.27 % (3967464)------------------------------
% 19.91/3.27 % (3967464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.91/3.27 % (3967464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.27 % (3967464)CaDiCaL version: 2.1.3
% 19.91/3.27 % (3967464)Termination reason: Instruction limit
% 19.91/3.27 % (3967464)Termination phase: Saturation
% 19.91/3.27 % (3967464)Time elapsed: 0.299 s
% 19.91/3.27 % (3967464)Peak memory usage: 12 MB
% 19.91/3.27 % (3967464)Instructions burned: 436 (million)
% 19.91/3.27 % (3967475)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
% 19.91/3.27 % (3967475)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 19.91/3.27 % (3967475)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1978875558:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2973 on theBenchmark for (2973ds/100Mi)
% 19.91/3.27 % (3967476)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=335991122:i=76:piset=equals:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/76Mi)
% 19.91/3.27 % (3967479)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=279922860:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2973 on theBenchmark for (2973ds/493Mi)
% 19.91/3.27 % (3967478)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3913383979:i=289:rtra=on_2973 on theBenchmark for (2973ds/289Mi)
% 20.76/3.40 % (3967478)Refutation not found, incomplete strategy
% 20.76/3.40 % (3967478)------------------------------
% 20.76/3.40 % (3967478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.76/3.40 % (3967478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.40 % (3967478)CaDiCaL version: 2.1.3
% 20.76/3.40 % (3967478)Termination reason: Refutation not found, incomplete strategy
% 20.76/3.40 % (3967478)Time elapsed: 0.004 s
% 20.76/3.40 % (3967478)Peak memory usage: 12 MB
% 20.76/3.40 % (3967478)Instructions burned: 2 (million)
% 20.76/3.40 % (3967478)------------------------------
% 20.76/3.40 % (3967478)------------------------------
% 20.76/3.40 % (3967484)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=4074625851:cond=on:i=34:hud=10:nm=10:rtra=on_2972 on theBenchmark for (2972ds/34Mi)
% 20.76/3.40 % (3967476)Instruction limit reached!
% 20.76/3.40 % (3967476)------------------------------
% 20.76/3.40 % (3967476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.76/3.40 % (3967476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.40 % (3967476)CaDiCaL version: 2.1.3
% 20.76/3.40 % (3967476)Termination reason: Instruction limit
% 20.76/3.40 % (3967476)Termination phase: Saturation
% 20.76/3.40 % (3967476)Time elapsed: 0.062 s
% 20.76/3.40 % (3967476)Peak memory usage: 12 MB
% 20.76/3.40 % (3967476)Instructions burned: 76 (million)
% 20.76/3.40 % (3967484)Instruction limit reached!
% 20.76/3.40 % (3967484)------------------------------
% 20.76/3.40 % (3967484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.76/3.40 % (3967484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.40 % (3967484)CaDiCaL version: 2.1.3
% 20.76/3.40 % (3967484)Termination reason: Instruction limit
% 20.76/3.40 % (3967484)Termination phase: Saturation
% 20.76/3.40 % (3967484)Time elapsed: 0.022 s
% 20.76/3.40 % (3967484)Peak memory usage: 12 MB
% 20.76/3.40 % (3967484)Instructions burned: 34 (million)
% 20.76/3.40 % (3967475)Instruction limit reached!
% 20.76/3.40 % (3967475)------------------------------
% 20.76/3.40 % (3967475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.76/3.40 % (3967475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.40 % (3967475)CaDiCaL version: 2.1.3
% 20.76/3.40 % (3967475)Termination reason: Instruction limit
% 20.76/3.40 % (3967475)Termination phase: Saturation
% 20.76/3.40 % (3967475)Time elapsed: 0.078 s
% 20.76/3.40 % (3967475)Peak memory usage: 12 MB
% 20.76/3.40 % (3967475)Instructions burned: 100 (million)
% 20.76/3.40 % (3967486)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.76/3.40 % (3967487)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2167780031:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2972 on theBenchmark for (2972ds/670Mi)
% 20.76/3.40 % (3967486)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=1263173148:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2972 on theBenchmark for (2972ds/372Mi)
% 20.76/3.40 % (3967486)Refutation not found, incomplete strategy
% 20.76/3.40 % (3967486)------------------------------
% 20.76/3.40 % (3967486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.76/3.40 % (3967486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.40 % (3967486)CaDiCaL version: 2.1.3
% 20.76/3.40 % (3967486)Termination reason: Refutation not found, incomplete strategy
% 20.76/3.40 % (3967486)Time elapsed: 0.004 s
% 20.76/3.40 % (3967486)Peak memory usage: 12 MB
% 20.76/3.40 % (3967486)Instructions burned: 3 (million)
% 20.76/3.40 % (3967486)------------------------------
% 20.76/3.40 % (3967486)------------------------------
% 20.76/3.40 % (3967488)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3969833175:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/647Mi)
% 20.76/3.40 % (3967488)Refutation not found, incomplete strategy
% 20.76/3.40 % (3967488)------------------------------
% 20.76/3.40 % (3967488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.76/3.40 % (3967488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.74 % (3967488)CaDiCaL version: 2.1.3
% 22.51/3.74 % (3967488)Termination reason: Refutation not found, incomplete strategy
% 22.51/3.74 % (3967488)Time elapsed: 0.001 s
% 22.51/3.74 % (3967488)Peak memory usage: 12 MB
% 22.51/3.74 % (3967488)Instructions burned: 1 (million)
% 22.51/3.74 % (3967488)------------------------------
% 22.51/3.74 % (3967488)------------------------------
% 22.51/3.74 % (3967491)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=4110342808:i=857:add=off:kws=frequency:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/857Mi)
% 22.51/3.74 % (3967493)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=3676908862:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/693Mi)
% 22.51/3.74 % (3967415)Instruction limit reached!
% 22.51/3.74 % (3967415)------------------------------
% 22.51/3.74 % (3967415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.74 % (3967415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.74 % (3967415)CaDiCaL version: 2.1.3
% 22.51/3.74 % (3967415)Termination reason: Instruction limit
% 22.51/3.74 % (3967415)Termination phase: Saturation
% 22.51/3.74 % (3967415)Time elapsed: 1.382 s
% 22.51/3.74 % (3967415)Peak memory usage: 13 MB
% 22.51/3.74 % (3967415)Instructions burned: 2187 (million)
% 22.51/3.74 % (3967496)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3446371966:i=285:hud=10:bd=all:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/285Mi)
% 22.51/3.74 % (3967496)Refutation not found, incomplete strategy
% 22.51/3.74 % (3967496)------------------------------
% 22.51/3.74 % (3967496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.74 % (3967496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.74 % (3967496)CaDiCaL version: 2.1.3
% 22.51/3.74 % (3967496)Termination reason: Refutation not found, incomplete strategy
% 22.51/3.74 % (3967496)Time elapsed: 0.001 s
% 22.51/3.74 % (3967496)Peak memory usage: 11 MB
% 22.51/3.74 % (3967496)Instructions burned: 1 (million)
% 22.51/3.74 % (3967496)------------------------------
% 22.51/3.74 % (3967496)------------------------------
% 22.51/3.74 % (3967479)Instruction limit reached!
% 22.51/3.74 % (3967479)------------------------------
% 22.51/3.74 % (3967479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.74 % (3967479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.74 % (3967479)CaDiCaL version: 2.1.3
% 22.51/3.74 % (3967479)Termination reason: Instruction limit
% 22.51/3.74 % (3967479)Termination phase: Saturation
% 22.51/3.74 % (3967479)Time elapsed: 0.203 s
% 22.51/3.74 % (3967479)Peak memory usage: 12 MB
% 22.51/3.74 % (3967479)Instructions burned: 494 (million)
% 22.51/3.74 % (3967498)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.51/3.74 % (3967498)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=351393056:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2971 on theBenchmark for (2971ds/52Mi)
% 22.51/3.74 % (3967498)Instruction limit reached!
% 22.51/3.74 % (3967498)------------------------------
% 22.51/3.74 % (3967498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.74 % (3967498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.74 % (3967498)CaDiCaL version: 2.1.3
% 22.51/3.74 % (3967498)Termination reason: Instruction limit
% 22.51/3.74 % (3967498)Termination phase: Saturation
% 22.51/3.74 % (3967498)Time elapsed: 0.022 s
% 22.51/3.74 % (3967498)Peak memory usage: 12 MB
% 22.51/3.74 % (3967498)Instructions burned: 53 (million)
% 22.51/3.74 % (3967499)dis+10_1_si=on:random_seed=745265360:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2970 on theBenchmark for (2970ds/407Mi)
% 22.51/3.74 % (3967499)Refutation not found, incomplete strategy
% 22.51/3.74 % (3967499)------------------------------
% 22.51/3.74 % (3967499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.74 % (3967499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.74 % (3967499)CaDiCaL version: 2.1.3
% 22.51/3.74 % (3967499)Termination reason: Refutation not found, incomplete strategy
% 22.51/3.74 % (3967499)Time elapsed: 0.001 s
% 22.51/3.74 % (3967499)Peak memory usage: 11 MB
% 26.23/4.07 % (3967499)Instructions burned: 1 (million)
% 26.23/4.07 % (3967499)------------------------------
% 26.23/4.07 % (3967499)------------------------------
% 26.23/4.07 % (3967502)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=2882214486:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/2240Mi)
% 26.23/4.07 % (3967503)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=2302504753:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/336Mi)
% 26.23/4.07 % (3967503)Refutation not found, incomplete strategy
% 26.23/4.07 % (3967503)------------------------------
% 26.23/4.07 % (3967503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.23/4.07 % (3967503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.23/4.07 % (3967503)CaDiCaL version: 2.1.3
% 26.23/4.07 % (3967503)Termination reason: Refutation not found, incomplete strategy
% 26.23/4.07 % (3967503)Time elapsed: 0.001 s
% 26.23/4.07 % (3967503)Peak memory usage: 11 MB
% 26.23/4.07 % (3967503)Instructions burned: 1 (million)
% 26.23/4.07 % (3967503)------------------------------
% 26.23/4.07 % (3967503)------------------------------
% 26.23/4.07 % (3967507)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=313331808:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2970 on theBenchmark for (2970ds/1142Mi)
% 26.23/4.07 % (3967507)Refutation not found, incomplete strategy
% 26.23/4.07 % (3967507)------------------------------
% 26.23/4.07 % (3967507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.23/4.07 % (3967507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.23/4.07 % (3967507)CaDiCaL version: 2.1.3
% 26.23/4.07 % (3967507)Termination reason: Refutation not found, incomplete strategy
% 26.23/4.07 % (3967507)Time elapsed: 0.017 s
% 26.23/4.07 % (3967507)Peak memory usage: 12 MB
% 26.23/4.07 % (3967507)Instructions burned: 38 (million)
% 26.23/4.07 % (3967507)------------------------------
% 26.23/4.07 % (3967507)------------------------------
% 26.23/4.07 % (3967511)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3805347088:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/376Mi)
% 26.23/4.07 % (3967511)Refutation not found, incomplete strategy
% 26.23/4.07 % (3967511)------------------------------
% 26.23/4.07 % (3967511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.23/4.07 % (3967511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.23/4.07 % (3967511)CaDiCaL version: 2.1.3
% 26.23/4.07 % (3967511)Termination reason: Refutation not found, incomplete strategy
% 26.23/4.07 % (3967511)Time elapsed: 0.001 s
% 26.23/4.07 % (3967511)Peak memory usage: 11 MB
% 26.23/4.07 % (3967511)Instructions burned: 1 (million)
% 26.23/4.07 % (3967511)------------------------------
% 26.23/4.07 % (3967511)------------------------------
% 26.23/4.07 % (3967514)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3066877566:i=766:bd=all:rtra=on_2969 on theBenchmark for (2969ds/766Mi)
% 26.23/4.07 % (3967514)Refutation not found, incomplete strategy
% 26.23/4.07 % (3967514)------------------------------
% 26.23/4.07 % (3967514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.23/4.07 % (3967514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.23/4.07 % (3967514)CaDiCaL version: 2.1.3
% 26.23/4.07 % (3967514)Termination reason: Refutation not found, incomplete strategy
% 26.23/4.07 % (3967514)Time elapsed: 0.002 s
% 26.23/4.07 % (3967514)Peak memory usage: 12 MB
% 26.23/4.07 % (3967514)Instructions burned: 2 (million)
% 26.23/4.07 % (3967514)------------------------------
% 26.23/4.07 % (3967514)------------------------------
% 26.23/4.07 % (3967516)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 26.23/4.07 % (3967516)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1912300649:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2969 on theBenchmark for (2969ds/959Mi)
% 26.23/4.07 % (3967516)Refutation not found, incomplete strategy
% 26.23/4.07 % (3967516)------------------------------
% 26.23/4.07 % (3967516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.23/4.07 % (3967516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.99/4.22 % (3967516)CaDiCaL version: 2.1.3
% 26.99/4.22 % (3967516)Termination reason: Refutation not found, incomplete strategy
% 26.99/4.22 % (3967516)Time elapsed: 0.001 s
% 26.99/4.22 % (3967516)Peak memory usage: 11 MB
% 26.99/4.22 % (3967516)Instructions burned: 1 (million)
% 26.99/4.22 % (3967516)------------------------------
% 26.99/4.22 % (3967516)------------------------------
% 26.99/4.22 % (3967518)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=1173928693:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2969 on theBenchmark for (2969ds/6359Mi)
% 26.99/4.22 % (3967487)Instruction limit reached!
% 26.99/4.22 % (3967487)------------------------------
% 26.99/4.22 % (3967487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.99/4.22 % (3967487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.99/4.22 % (3967487)CaDiCaL version: 2.1.3
% 26.99/4.22 % (3967487)Termination reason: Instruction limit
% 26.99/4.22 % (3967487)Termination phase: Saturation
% 26.99/4.22 % (3967487)Time elapsed: 0.431 s
% 26.99/4.22 % (3967487)Peak memory usage: 12 MB
% 26.99/4.22 % (3967487)Instructions burned: 671 (million)
% 26.99/4.22 % (3967520)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=447332008:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2967 on theBenchmark for (2967ds/35Mi)
% 26.99/4.22 % (3967520)Refutation not found, incomplete strategy
% 26.99/4.22 % (3967520)------------------------------
% 26.99/4.22 % (3967520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.99/4.22 % (3967520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.99/4.22 % (3967520)CaDiCaL version: 2.1.3
% 26.99/4.22 % (3967520)Termination reason: Refutation not found, incomplete strategy
% 26.99/4.22 % (3967520)Time elapsed: 0.001 s
% 26.99/4.22 % (3967520)Peak memory usage: 11 MB
% 26.99/4.22 % (3967520)Instructions burned: 1 (million)
% 26.99/4.22 % (3967520)------------------------------
% 26.99/4.22 % (3967520)------------------------------
% 26.99/4.22 % (3967522)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3853978857:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2967 on theBenchmark for (2967ds/53Mi)
% 26.99/4.22 % (3967522)Instruction limit reached!
% 26.99/4.22 % (3967522)------------------------------
% 26.99/4.22 % (3967522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.99/4.22 % (3967522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.99/4.22 % (3967522)CaDiCaL version: 2.1.3
% 26.99/4.22 % (3967522)Termination reason: Instruction limit
% 26.99/4.22 % (3967522)Termination phase: Saturation
% 26.99/4.22 % (3967522)Time elapsed: 0.046 s
% 26.99/4.22 % (3967522)Peak memory usage: 12 MB
% 26.99/4.22 % (3967522)Instructions burned: 53 (million)
% 26.99/4.22 % (3967493)Instruction limit reached!
% 26.99/4.22 % (3967493)------------------------------
% 26.99/4.22 % (3967493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.99/4.22 % (3967493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.99/4.22 % (3967493)CaDiCaL version: 2.1.3
% 26.99/4.22 % (3967493)Termination reason: Instruction limit
% 26.99/4.22 % (3967493)Termination phase: Saturation
% 26.99/4.22 % (3967493)Time elapsed: 0.504 s
% 26.99/4.22 % (3967493)Peak memory usage: 13 MB
% 26.99/4.22 % (3967493)Instructions burned: 694 (million)
% 26.99/4.22 % (3967524)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3511281467:s2a=on:i=876:s2at=6:nm=2:rtra=on_2966 on theBenchmark for (2966ds/876Mi)
% 26.99/4.22 % (3967525)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=442182619:i=57:ep=R:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/57Mi)
% 26.99/4.22 % (3967491)Instruction limit reached!
% 26.99/4.22 % (3967491)------------------------------
% 26.99/4.22 % (3967491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.99/4.22 % (3967491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.99/4.22 % (3967491)CaDiCaL version: 2.1.3
% 26.99/4.22 % (3967491)Termination reason: Instruction limit
% 26.99/4.22 % (3967491)Termination phase: Saturation
% 26.99/4.22 % (3967491)Time elapsed: 0.574 s
% 26.99/4.22 % (3967491)Peak memory usage: 12 MB
% 26.99/4.22 % (3967491)Instructions burned: 857 (million)
% 27.60/4.37 % (3967525)Instruction limit reached!
% 27.60/4.37 % (3967525)------------------------------
% 27.60/4.37 % (3967525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.60/4.37 % (3967525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/4.37 % (3967525)CaDiCaL version: 2.1.3
% 27.60/4.37 % (3967525)Termination reason: Instruction limit
% 27.60/4.37 % (3967525)Termination phase: Saturation
% 27.60/4.37 % (3967525)Time elapsed: 0.046 s
% 27.60/4.37 % (3967525)Peak memory usage: 12 MB
% 27.60/4.37 % (3967525)Instructions burned: 58 (million)
% 27.60/4.37 % (3967528)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.60/4.37 % (3967528)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1179474299:i=306:bd=all:rtra=on_2966 on theBenchmark for (2966ds/306Mi)
% 27.60/4.37 % (3967528)Refutation not found, incomplete strategy
% 27.60/4.37 % (3967528)------------------------------
% 27.60/4.37 % (3967528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.60/4.37 % (3967528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/4.37 % (3967528)CaDiCaL version: 2.1.3
% 27.60/4.37 % (3967528)Termination reason: Refutation not found, incomplete strategy
% 27.60/4.37 % (3967528)Time elapsed: 0.003 s
% 27.60/4.37 % (3967528)Peak memory usage: 12 MB
% 27.60/4.37 % (3967528)Instructions burned: 2 (million)
% 27.60/4.37 % (3967528)------------------------------
% 27.60/4.37 % (3967528)------------------------------
% 27.60/4.37 % (3967529)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2521918160:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/262Mi)
% 27.60/4.37 % (3967529)Refutation not found, incomplete strategy
% 27.60/4.37 % (3967529)------------------------------
% 27.60/4.37 % (3967529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.60/4.37 % (3967529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/4.37 % (3967529)CaDiCaL version: 2.1.3
% 27.60/4.37 % (3967529)Termination reason: Refutation not found, incomplete strategy
% 27.60/4.37 % (3967529)Time elapsed: 0.001 s
% 27.60/4.37 % (3967529)Peak memory usage: 11 MB
% 27.60/4.37 % (3967529)Instructions burned: 1 (million)
% 27.60/4.37 % (3967529)------------------------------
% 27.60/4.37 % (3967529)------------------------------
% 27.60/4.37 % (3967531)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 27.60/4.37 % (3967531)ott+1002_16_sil=128000:si=on:random_seed=2632468212:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/409Mi)
% 27.60/4.37 % (3967430)Instruction limit reached!
% 27.60/4.37 % (3967430)------------------------------
% 27.60/4.37 % (3967430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.60/4.37 % (3967430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/4.37 % (3967430)CaDiCaL version: 2.1.3
% 27.60/4.37 % (3967430)Termination reason: Instruction limit
% 27.60/4.37 % (3967430)Termination phase: Saturation
% 27.60/4.37 % (3967430)Time elapsed: 1.824 s
% 27.60/4.37 % (3967430)Peak memory usage: 15 MB
% 27.60/4.37 % (3967430)Instructions burned: 2470 (million)
% 27.60/4.37 % (3967533)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3295994825:s2a=on:i=381:rtra=on_2965 on theBenchmark for (2965ds/381Mi)
% 27.60/4.37 % (3967535)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2851769188:cond=on:i=324:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/324Mi)
% 27.60/4.37 % (3967531)Instruction limit reached!
% 27.60/4.37 % (3967531)------------------------------
% 27.60/4.37 % (3967531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.60/4.37 % (3967531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.60/4.37 % (3967531)CaDiCaL version: 2.1.3
% 27.60/4.37 % (3967531)Termination reason: Instruction limit
% 27.60/4.37 % (3967531)Termination phase: Saturation
% 27.60/4.37 % (3967531)Time elapsed: 0.247 s
% 27.60/4.37 % (3967531)Peak memory usage: 13 MB
% 27.60/4.37 % (3967531)Instructions burned: 410 (million)
% 27.60/4.37 % (3967535)Instruction limit reached!
% 27.60/4.37 % (3967535)------------------------------
% 27.60/4.37 % (3967535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.60/4.37 % (3967535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.79/4.52 % (3967535)CaDiCaL version: 2.1.3
% 28.79/4.52 % (3967535)Termination reason: Instruction limit
% 28.79/4.52 % (3967535)Termination phase: Saturation
% 28.79/4.52 % (3967535)Time elapsed: 0.214 s
% 28.79/4.52 % (3967535)Peak memory usage: 12 MB
% 28.79/4.52 % (3967535)Instructions burned: 327 (million)
% 28.79/4.52 % (3967545)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=4274075425:i=240:kws=inv_precedence:rtra=on_2962 on theBenchmark for (2962ds/240Mi)
% 28.79/4.52 % (3967545)Refutation not found, incomplete strategy
% 28.79/4.52 % (3967545)------------------------------
% 28.79/4.52 % (3967545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.79/4.52 % (3967545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.79/4.52 % (3967545)CaDiCaL version: 2.1.3
% 28.79/4.52 % (3967545)Termination reason: Refutation not found, incomplete strategy
% 28.79/4.52 % (3967545)Time elapsed: 0.002 s
% 28.79/4.52 % (3967545)Peak memory usage: 12 MB
% 28.79/4.52 % (3967545)Instructions burned: 2 (million)
% 28.79/4.52 % (3967545)------------------------------
% 28.79/4.52 % (3967545)------------------------------
% 28.79/4.52 % (3967550)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1762568217:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2962 on theBenchmark for (2962ds/223Mi)
% 28.79/4.52 % (3967547)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.79/4.52 % (3967547)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=303233423:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/124Mi)
% 28.79/4.52 % (3967533)Instruction limit reached!
% 28.79/4.52 % (3967533)------------------------------
% 28.79/4.52 % (3967533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.79/4.52 % (3967533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.79/4.52 % (3967533)CaDiCaL version: 2.1.3
% 28.79/4.52 % (3967533)Termination reason: Instruction limit
% 28.79/4.52 % (3967533)Termination phase: Saturation
% 28.79/4.52 % (3967533)Time elapsed: 0.290 s
% 28.79/4.52 % (3967533)Peak memory usage: 12 MB
% 28.79/4.52 % (3967533)Instructions burned: 381 (million)
% 28.79/4.52 % (3967556)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2483100029:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2962 on theBenchmark for (2962ds/282Mi)
% 28.79/4.52 % (3967547)Instruction limit reached!
% 28.79/4.52 % (3967547)------------------------------
% 28.79/4.52 % (3967547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.79/4.52 % (3967547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.79/4.52 % (3967547)CaDiCaL version: 2.1.3
% 28.79/4.52 % (3967547)Termination reason: Instruction limit
% 28.79/4.52 % (3967547)Termination phase: Saturation
% 28.79/4.52 % (3967547)Time elapsed: 0.090 s
% 28.79/4.52 % (3967547)Peak memory usage: 12 MB
% 28.79/4.52 % (3967547)Instructions burned: 125 (million)
% 28.79/4.52 % (3967502)Instruction limit reached!
% 28.79/4.52 % (3967502)------------------------------
% 28.79/4.52 % (3967502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.79/4.52 % (3967502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.79/4.52 % (3967502)CaDiCaL version: 2.1.3
% 28.79/4.52 % (3967502)Termination reason: Instruction limit
% 28.79/4.52 % (3967502)Termination phase: Saturation
% 28.79/4.52 % (3967502)Time elapsed: 0.917 s
% 28.79/4.52 % (3967502)Peak memory usage: 16 MB
% 28.79/4.52 % (3967502)Instructions burned: 2242 (million)
% 28.79/4.52 % (3967550)Instruction limit reached!
% 28.79/4.52 % (3967550)------------------------------
% 28.79/4.52 % (3967550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.79/4.52 % (3967550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.79/4.52 % (3967550)CaDiCaL version: 2.1.3
% 28.79/4.52 % (3967550)Termination reason: Instruction limit
% 28.79/4.52 % (3967550)Termination phase: Saturation
% 28.79/4.52 % (3967550)Time elapsed: 0.115 s
% 28.79/4.52 % (3967550)Peak memory usage: 13 MB
% 28.79/4.52 % (3967550)Instructions burned: 223 (million)
% 28.79/4.52 % (3967560)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=4201328137:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/464Mi)
% 28.79/4.52 % (3967560)Refutation not found, incomplete strategy
% 28.79/4.52 % (3967560)------------------------------
% 28.79/4.52 % (3967560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.66/4.71 % (3967560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.66/4.71 % (3967560)CaDiCaL version: 2.1.3
% 29.66/4.71 % (3967560)Termination reason: Refutation not found, incomplete strategy
% 29.66/4.71 % (3967560)Time elapsed: 0.001 s
% 29.66/4.71 % (3967560)Peak memory usage: 11 MB
% 29.66/4.71 % (3967560)Instructions burned: 1 (million)
% 29.66/4.71 % (3967560)------------------------------
% 29.66/4.71 % (3967560)------------------------------
% 29.66/4.71 % (3967562)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4022589390:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2961 on theBenchmark for (2961ds/280Mi)
% 29.66/4.71 % (3967564)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 29.66/4.71 % (3967561)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=446224661:i=88:s2at=3:nm=2:rtra=on:rawr=on_2961 on theBenchmark for (2961ds/88Mi)
% 29.66/4.71 % (3967564)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=830133404:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/4386Mi)
% 29.66/4.71 % (3967561)Instruction limit reached!
% 29.66/4.71 % (3967561)------------------------------
% 29.66/4.71 % (3967561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.66/4.71 % (3967561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.66/4.71 % (3967561)CaDiCaL version: 2.1.3
% 29.66/4.71 % (3967561)Termination reason: Instruction limit
% 29.66/4.71 % (3967561)Termination phase: Saturation
% 29.66/4.71 % (3967561)Time elapsed: 0.068 s
% 29.66/4.71 % (3967561)Peak memory usage: 12 MB
% 29.66/4.71 % (3967561)Instructions burned: 89 (million)
% 29.66/4.71 % (3967568)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 29.66/4.71 % (3967568)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 29.66/4.71 % (3967568)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=4037655402:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2960 on theBenchmark for (2960ds/483Mi)
% 29.66/4.71 % (3967568)Refutation not found, incomplete strategy
% 29.66/4.71 % (3967568)------------------------------
% 29.66/4.71 % (3967568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.66/4.71 % (3967568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.66/4.71 % (3967568)CaDiCaL version: 2.1.3
% 29.66/4.71 % (3967568)Termination reason: Refutation not found, incomplete strategy
% 29.66/4.71 % (3967568)Time elapsed: 0.001 s
% 29.66/4.71 % (3967568)Peak memory usage: 12 MB
% 29.66/4.71 % (3967568)Instructions burned: 1 (million)
% 29.66/4.71 % (3967568)------------------------------
% 29.66/4.71 % (3967568)------------------------------
% 29.66/4.71 % (3967524)Instruction limit reached!
% 29.66/4.71 % (3967524)------------------------------
% 29.66/4.71 % (3967524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.66/4.71 % (3967524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.66/4.71 % (3967524)CaDiCaL version: 2.1.3
% 29.66/4.71 % (3967524)Termination reason: Instruction limit
% 29.66/4.71 % (3967524)Termination phase: Saturation
% 29.66/4.71 % (3967524)Time elapsed: 0.657 s
% 29.66/4.71 % (3967524)Peak memory usage: 13 MB
% 29.66/4.71 % (3967524)Instructions burned: 877 (million)
% 29.66/4.71 % (3967562)Instruction limit reached!
% 29.66/4.71 % (3967562)------------------------------
% 29.66/4.71 % (3967562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.66/4.71 % (3967562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.66/4.71 % (3967562)CaDiCaL version: 2.1.3
% 29.66/4.71 % (3967562)Termination reason: Instruction limit
% 29.66/4.71 % (3967562)Termination phase: Saturation
% 29.66/4.71 % (3967562)Time elapsed: 0.119 s
% 29.66/4.71 % (3967562)Peak memory usage: 12 MB
% 29.66/4.71 % (3967562)Instructions burned: 280 (million)
% 29.66/4.71 % (3967570)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1069442520:i=73:rtra=on_2960 on theBenchmark for (2960ds/73Mi)
% 29.66/4.71 % (3967570)Refutation not found, incomplete strategy
% 33.18/5.07 % (3967570)------------------------------
% 33.18/5.07 % (3967570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967570)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967570)Termination reason: Refutation not found, incomplete strategy
% 33.18/5.07 % (3967570)Time elapsed: 0.003 s
% 33.18/5.07 % (3967570)Peak memory usage: 12 MB
% 33.18/5.07 % (3967570)Instructions burned: 2 (million)
% 33.18/5.07 % (3967570)------------------------------
% 33.18/5.07 % (3967570)------------------------------
% 33.18/5.07 % (3967572)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 33.18/5.07 % (3967572)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=732150304:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2959 on theBenchmark for (2959ds/39Mi)
% 33.18/5.07 % (3967571)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1491418389:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2959 on theBenchmark for (2959ds/176Mi)
% 33.18/5.07 % (3967556)Instruction limit reached!
% 33.18/5.07 % (3967556)------------------------------
% 33.18/5.07 % (3967556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967556)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967556)Termination reason: Instruction limit
% 33.18/5.07 % (3967556)Termination phase: Saturation
% 33.18/5.07 % (3967556)Time elapsed: 0.237 s
% 33.18/5.07 % (3967556)Peak memory usage: 14 MB
% 33.18/5.07 % (3967556)Instructions burned: 283 (million)
% 33.18/5.07 % (3967572)Instruction limit reached!
% 33.18/5.07 % (3967572)------------------------------
% 33.18/5.07 % (3967572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967572)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967572)Termination reason: Instruction limit
% 33.18/5.07 % (3967572)Termination phase: Saturation
% 33.18/5.07 % (3967572)Time elapsed: 0.024 s
% 33.18/5.07 % (3967572)Peak memory usage: 12 MB
% 33.18/5.07 % (3967572)Instructions burned: 39 (million)
% 33.18/5.07 % (3967574)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1093044334:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/708Mi)
% 33.18/5.07 % (3967577)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 33.18/5.07 % (3967577)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=4197157667:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/252Mi)
% 33.18/5.07 % (3967579)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=193623931:i=823:fsr=off:rtra=on_2959 on theBenchmark for (2959ds/823Mi)
% 33.18/5.07 % (3967577)Instruction limit reached!
% 33.18/5.07 % (3967577)------------------------------
% 33.18/5.07 % (3967577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967577)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967577)Termination reason: Instruction limit
% 33.18/5.07 % (3967577)Termination phase: Saturation
% 33.18/5.07 % (3967577)Time elapsed: 0.088 s
% 33.18/5.07 % (3967577)Peak memory usage: 12 MB
% 33.18/5.07 % (3967577)Instructions burned: 254 (million)
% 33.18/5.07 % (3967582)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 33.18/5.07 % (3967582)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=4055188490:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/16202Mi)
% 33.18/5.07 % (3967582)Refutation not found, incomplete strategy
% 33.18/5.07 % (3967582)------------------------------
% 33.18/5.07 % (3967582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967582)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967582)Termination reason: Refutation not found, incomplete strategy
% 33.18/5.07 % (3967582)Time elapsed: 0.001 s
% 33.18/5.07 % (3967582)Peak memory usage: 11 MB
% 33.18/5.07 % (3967582)Instructions burned: 2 (million)
% 33.18/5.07 % (3967582)------------------------------
% 33.18/5.07 % (3967582)------------------------------
% 33.18/5.07 % (3967571)Instruction limit reached!
% 33.18/5.07 % (3967571)------------------------------
% 33.18/5.07 % (3967571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967571)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967571)Termination reason: Instruction limit
% 33.18/5.07 % (3967571)Termination phase: Saturation
% 33.18/5.07 % (3967571)Time elapsed: 0.143 s
% 33.18/5.07 % (3967571)Peak memory usage: 12 MB
% 33.18/5.07 % (3967571)Instructions burned: 176 (million)
% 33.18/5.07 % (3967584)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=4090753175:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/300Mi)
% 33.18/5.07 % (3967585)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 33.18/5.07 % (3967585)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 33.18/5.07 % (3967585)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=926978001:i=177:add=on:bd=preordered:rtra=on:rawr=on_2958 on theBenchmark for (2958ds/177Mi)
% 33.18/5.07 % (3967585)Instruction limit reached!
% 33.18/5.07 % (3967585)------------------------------
% 33.18/5.07 % (3967585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967585)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967585)Termination reason: Instruction limit
% 33.18/5.07 % (3967585)Termination phase: Saturation
% 33.18/5.07 % (3967585)Time elapsed: 0.078 s
% 33.18/5.07 % (3967585)Peak memory usage: 13 MB
% 33.18/5.07 % (3967585)Instructions burned: 178 (million)
% 33.18/5.07 % (3967588)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=4221500025:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/715Mi)
% 33.18/5.07 % (3967588)Refutation not found, incomplete strategy
% 33.18/5.07 % (3967588)------------------------------
% 33.18/5.07 % (3967588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967588)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967588)Termination reason: Refutation not found, incomplete strategy
% 33.18/5.07 % (3967588)Time elapsed: 0.001 s
% 33.18/5.07 % (3967588)Peak memory usage: 11 MB
% 33.18/5.07 % (3967588)Instructions burned: 2 (million)
% 33.18/5.07 % (3967588)------------------------------
% 33.18/5.07 % (3967588)------------------------------
% 33.18/5.07 % (3967590)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 33.18/5.07 % (3967590)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 33.18/5.07 % (3967590)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=3742538213:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2956 on theBenchmark for (2956ds/230Mi)
% 33.18/5.07 % (3967590)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 33.18/5.07 % (3967584)Instruction limit reached!
% 33.18/5.07 % (3967584)------------------------------
% 33.18/5.07 % (3967584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967584)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967584)Termination reason: Instruction limit
% 33.18/5.07 % (3967584)Termination phase: Saturation
% 33.18/5.07 % (3967584)Time elapsed: 0.148 s
% 33.18/5.07 % (3967584)Peak memory usage: 12 MB
% 33.18/5.07 % (3967584)Instructions burned: 301 (million)
% 33.18/5.07 % (3967592)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1317639899:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2956 on theBenchmark for (2956ds/606Mi)
% 33.18/5.07 % (3967590)Instruction limit reached!
% 33.18/5.07 % (3967590)------------------------------
% 33.18/5.07 % (3967590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967590)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967590)Termination reason: Instruction limit
% 33.18/5.07 % (3967590)Termination phase: Saturation
% 33.18/5.07 % (3967590)Time elapsed: 0.103 s
% 33.18/5.07 % (3967590)Peak memory usage: 13 MB
% 33.18/5.07 % (3967590)Instructions burned: 230 (million)
% 33.18/5.07 % (3967594)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 33.18/5.07 % (3967594)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2411639659:lrd=on:i=841:nm=0:rtra=on_2955 on theBenchmark for (2955ds/841Mi)
% 33.18/5.07 % (3967574)Instruction limit reached!
% 33.18/5.07 % (3967574)------------------------------
% 33.18/5.07 % (3967574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967574)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967574)Termination reason: Instruction limit
% 33.18/5.07 % (3967574)Termination phase: Saturation
% 33.18/5.07 % (3967574)Time elapsed: 0.416 s
% 33.18/5.07 % (3967574)Peak memory usage: 14 MB
% 33.18/5.07 % (3967574)Instructions burned: 708 (million)
% 33.18/5.07 % (3967596)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2374201057:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2955 on theBenchmark for (2955ds/445Mi)
% 33.18/5.07 % (3967518) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3967191-3967518"...
% 33.18/5.07 % (3967579)Instruction limit reached!
% 33.18/5.07 % (3967579)------------------------------
% 33.18/5.07 % (3967579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967579)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967579)Termination reason: Instruction limit
% 33.18/5.07 % (3967579)Termination phase: Saturation
% 33.18/5.07 % (3967579)Time elapsed: 0.568 s
% 33.18/5.07 % (3967579)Peak memory usage: 14 MB
% 33.18/5.07 % (3967579)Instructions burned: 824 (million)
% 33.18/5.07 % (3967592)Instruction limit reached!
% 33.18/5.07 % (3967592)------------------------------
% 33.18/5.07 % (3967592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967592)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967592)Termination reason: Instruction limit
% 33.18/5.07 % (3967592)Termination phase: Saturation
% 33.18/5.07 % (3967592)Time elapsed: 0.290 s
% 33.18/5.07 % (3967592)Peak memory usage: 13 MB
% 33.18/5.07 % (3967592)Instructions burned: 606 (million)
% 33.18/5.07 % (3967599)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
% 33.18/5.07 % (3967599)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 33.18/5.07 % (3967599)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2891995437:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2953 on theBenchmark for (2953ds/100Mi)
% 33.18/5.07 % (3967598)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1794241814:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2953 on theBenchmark for (2953ds/71Mi)
% 33.18/5.07 % (3967599)Instruction limit reached!
% 33.18/5.07 % (3967599)------------------------------
% 33.18/5.07 % (3967599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.07 % (3967599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.07 % (3967599)CaDiCaL version: 2.1.3
% 33.18/5.07 % (3967599)Termination reason: Instruction limit
% 33.18/5.07 % (3967599)Termination phase: Saturation
% 33.18/5.07 % (3967599)Time elapsed: 0.043 s
% 33.18/5.07 % (3967599)Peak memory usage: 12 MB
% 33.18/5.07 % (3967599)Instructions burned: 102 (million)
% 33.18/5.07 % (3967518)...printing done.
% 33.18/5.07 % (3967518)Refutation found. Thanks to Tanya!
% 33.18/5.07 % SZS status Unsatisfiable for theBenchmark
% 33.18/5.07 % SZS output start Proof for theBenchmark
% See solution above
% 33.18/5.12 % (3967518)------------------------------
% 33.18/5.12 % (3967518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.12 % (3967518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.12 % (3967518)CaDiCaL version: 2.1.3
% 33.18/5.12 % (3967518)Termination reason: Refutation
% 33.18/5.12 % (3967518)Time elapsed: 1.638 s
% 33.18/5.12 % (3967518)Peak memory usage: 17 MB
% 33.18/5.12 % (3967518)Instructions burned: 2007 (million)
% 33.18/5.12 % (3967191)Success in time 4.741 s
% 33.18/5.12 % Vampire exiting
%------------------------------------------------------------------------------