%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA109^1 : 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 : n007.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 07:54:04 AM UTC 2026
% Result : Unsatisfiable 30.76s 4.78s
% Output : Refutation 31.94s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( ( ^ [X0: $i > $i] :
! [X2: $i,X1: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) )
= inj ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( surj
= ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X0: $i,X1: $i,X3: $i,X2: $i] :
( ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f4]) ).
thf(f8,plain,
! [X1: $i,X0: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f10,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X3 @ X0 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X2 @ X0 )
| ~ ( b @ X2 @ X3 ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) )
= inj ),
inference(rectify,[],[f1]) ).
thf(f15,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X2 ) ),
inference(rectify,[],[f5]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X0 @ X2 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f10]) ).
thf(f19,plain,
! [X2: $i,X1: $i,X0: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ X4 ) ) ),
inference(flattening,[],[f13]) ).
thf(f20,plain,
! [X2: $i,X1: $i,X3: $i,X0: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X3 @ X0 ) )
| ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X4 ) ) ),
inference(rectify,[],[f19]) ).
thf(f23,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f8]) ).
thf(f24,plain,
( ( $true
!= ( surj @ sK0 ) )
& ( $true
= ( inj @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f18]) ).
thf(f25,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X3 @ X0 ) ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ X4 ) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f27,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f30,plain,
( $true
= ( inj @ sK0 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f31,plain,
( $true
!= ( surj @ sK0 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f34,plain,
( $true
!= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f31,f29]) ).
thf(f35,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f30,f27]) ).
thf(f36,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f35]) ).
thf(f37,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f36]) ).
thf(f38,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) ) ),
inference(beta-eta_normalization,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) )
| ( $true
= ( X2 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( X2 = X1 ) )
| ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f41]) ).
thf(f43,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f42]) ).
thf(f44,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f45,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f44]) ).
thf(f46,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f47,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X1: $i] :
( $false
= ( ( sK0 @ X1 )
= sK1 ) ),
inference(beta-eta_normalization,[],[f47]) ).
thf(f49,plain,
! [X1: $i] :
( ( sK0 @ X1 )
!= sK1 ),
inference(equality_proxy_clausification,[],[f48]) ).
thf(f50,plain,
! [X0: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f28,f49]) ).
thf(f51,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f28,f49]) ).
thf(f52,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f28,f43]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f25,f28]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X2 ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X2 ) ) ),
inference(constrained_superposition,[],[f25,f50]) ).
thf(f58,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f61,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(constrained_superposition,[],[f26,f51]) ).
thf(f62,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f63,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(extensionality_resolution,[],[f52,f49]) ).
thf(f64,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f52,f49]) ).
thf(f65,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) ) ),
inference(extensionality_resolution,[],[f52,f43]) ).
thf(f72,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
inference(constrained_superposition,[],[f25,f63]) ).
thf(f74,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f79,definition,
( spl2_2
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f80,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_2 ),
inference(avatar_component_clause,[],[f79]) ).
thf(f83,definition,
( spl2_3
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
thf(f84,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f83]) ).
thf(f86,definition,
( spl2_4
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f87,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f88,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f74,f86,f83]) ).
thf(f89,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_2 ),
inference(constrained_superposition,[],[f80,f50]) ).
thf(f92,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_2 ),
inference(trivial_inequality_removal,[],[f89]) ).
thf(f94,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f84,f52]) ).
thf(f96,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f99,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_2 ),
inference(constrained_superposition,[],[f26,f92]) ).
thf(f101,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_2 ),
inference(trivial_inequality_removal,[],[f99]) ).
thf(f110,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| spl2_2 ),
inference(constrained_superposition,[],[f101,f51]) ).
thf(f111,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_2 ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f116,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true != $true ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f62,f96]) ).
thf(f119,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f116]) ).
thf(f123,definition,
( spl2_7
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f124,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f126,definition,
( spl2_8
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f127,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f129,definition,
( spl2_9
<=> ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f130,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_9 ),
inference(avatar_component_clause,[],[f129]) ).
thf(f131,plain,
( spl2_7
| spl2_8
| ~ spl2_9
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f119,f83,f129,f126,f123]) ).
thf(f132,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_9 ),
inference(constrained_superposition,[],[f130,f51]) ).
thf(f133,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_9 ),
inference(trivial_inequality_removal,[],[f132]) ).
thf(f134,plain,
( $false
| ~ spl2_3
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f133,f84]) ).
thf(f135,plain,
( ~ spl2_3
| spl2_9 ),
inference(avatar_contradiction_clause,[],[f134]) ).
thf(f140,definition,
( spl2_10
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f141,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f140]) ).
thf(f160,definition,
( spl2_14
<=> ! [X1: $i] :
( $true
!= ( r @ sK1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f161,plain,
( ! [X1: $i] :
( $true
!= ( r @ sK1 @ X1 ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f160]) ).
thf(f164,definition,
( spl2_15
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f165,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f164]) ).
thf(f167,definition,
( spl2_16
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f168,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f167]) ).
thf(f169,plain,
( spl2_15
| spl2_16
| spl2_2 ),
inference(avatar_split_clause,[],[f111,f79,f167,f164]) ).
thf(f181,definition,
( spl2_18
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f182,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f181]) ).
thf(f184,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
inference(constrained_superposition,[],[f58,f64]) ).
thf(f185,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f25,f64]) ).
thf(f186,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f187,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f184]) ).
thf(f189,definition,
( spl2_19
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f190,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f189]) ).
thf(f192,definition,
( spl2_20
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f193,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f192]) ).
thf(f194,plain,
( spl2_19
| spl2_20
| spl2_3 ),
inference(avatar_split_clause,[],[f187,f83,f192,f189]) ).
thf(f195,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f84,f64]) ).
thf(f198,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f195]) ).
thf(f201,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f62,f198]) ).
thf(f203,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f201]) ).
thf(f206,definition,
( spl2_21
<=> ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f207,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f206]) ).
thf(f208,plain,
( spl2_21
| spl2_8
| ~ spl2_9
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f203,f83,f129,f126,f206]) ).
thf(f217,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f161,f50]) ).
thf(f220,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f217]) ).
thf(f225,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f127,f51]) ).
thf(f227,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f225]) ).
thf(f229,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_3
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f227,f84]) ).
thf(f230,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_3
| ~ spl2_8
| ~ spl2_14 ),
inference(constrained_superposition,[],[f229,f220]) ).
thf(f231,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ~ spl2_3
| ~ spl2_8
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f230]) ).
thf(f232,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_3
| ~ spl2_8
| ~ spl2_14 ),
inference(constrained_superposition,[],[f231,f51]) ).
thf(f233,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ~ spl2_3
| ~ spl2_8
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f232]) ).
thf(f234,plain,
( ( $true != $true )
| ~ spl2_3
| ~ spl2_8
| ~ spl2_14 ),
inference(constrained_superposition,[],[f84,f233]) ).
thf(f238,plain,
( $false
| ~ spl2_3
| ~ spl2_8
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f234]) ).
thf(f239,plain,
( ~ spl2_3
| ~ spl2_8
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f238]) ).
thf(f243,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_2 ),
inference(constrained_superposition,[],[f80,f50]) ).
thf(f245,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_2 ),
inference(trivial_inequality_removal,[],[f243]) ).
thf(f247,plain,
( spl2_20
| spl2_2 ),
inference(avatar_split_clause,[],[f245,f79,f192]) ).
thf(f279,definition,
( spl2_22
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f280,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f279]) ).
thf(f290,definition,
( spl2_24
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f291,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_24 ),
inference(avatar_component_clause,[],[f290]) ).
thf(f324,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X2 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ X1 ) @ X0 ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) ),
inference(extensionality_resolution,[],[f56,f49]) ).
thf(f326,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X0 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f56,f28]) ).
thf(f327,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f56,f50]) ).
thf(f332,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( X0 = X1 )
| ( X0 = X2 )
| ( $true
= ( b @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f326]) ).
thf(f333,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f327]) ).
thf(f337,definition,
( spl2_25
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ X1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f338,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X1 ) @ X0 ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ sK1 ) ) )
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f337]) ).
thf(f339,plain,
( spl2_25
| spl2_14 ),
inference(avatar_split_clause,[],[f324,f160,f337]) ).
thf(f341,definition,
( spl2_26
<=> ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
thf(f342,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f341]) ).
thf(f343,plain,
( spl2_14
| spl2_26 ),
inference(avatar_split_clause,[],[f333,f341,f160]) ).
thf(f349,definition,
( spl2_28
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
thf(f350,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f349]) ).
thf(f352,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f161,f50]) ).
thf(f353,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ X0 ) ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f161,f28]) ).
thf(f354,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f353]) ).
thf(f355,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f352]) ).
thf(f365,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f26,f355]) ).
thf(f369,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X3 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f365]) ).
thf(f370,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_20
| ~ spl2_28 ),
inference(constrained_superposition,[],[f350,f193]) ).
thf(f371,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_28 ),
inference(constrained_superposition,[],[f350,f355]) ).
thf(f372,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ~ spl2_14
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f371]) ).
thf(f373,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_20
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f370]) ).
thf(f374,plain,
( ~ spl2_9
| ~ spl2_20
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f373,f349,f192,f129]) ).
thf(f375,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_14
| ~ spl2_28 ),
inference(constrained_superposition,[],[f372,f51]) ).
thf(f376,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ~ spl2_14
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f375]) ).
thf(f378,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_14
| ~ spl2_28 ),
inference(constrained_superposition,[],[f87,f376]) ).
thf(f381,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_14
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f378]) ).
thf(f385,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_14
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f381,f376]) ).
thf(f386,plain,
( spl2_18
| ~ spl2_4
| ~ spl2_14
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f385,f349,f160,f86,f181]) ).
thf(f389,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X3 ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f26,f182]) ).
thf(f391,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f389]) ).
thf(f398,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( sK1 = X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f26,f354]) ).
thf(f401,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f398]) ).
thf(f412,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( sK1 = X2 )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f401,f51]) ).
thf(f413,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X2 )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_14
| ~ spl2_18 ),
inference(constrained_superposition,[],[f401,f182]) ).
thf(f414,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X2 )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ sK1 ) ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f401,f355]) ).
thf(f415,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( sK1 = X2 )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f401,f354]) ).
thf(f416,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X2 ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f414]) ).
thf(f417,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X2 )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_14
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f413]) ).
thf(f418,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X2 )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_14 ),
inference(duplicate_literal_removal,[],[f412]) ).
thf(f419,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( sK1 = X2 )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f418]) ).
thf(f420,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ sK1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( sK1 = X2 )
| ( sK1 = X0 ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f415]) ).
thf(f421,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_18 ),
inference(constrained_superposition,[],[f391,f355]) ).
thf(f424,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_14
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f421]) ).
thf(f426,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_14
| ~ spl2_18 ),
inference(forward_subsumption_resolution,[],[f424,f355]) ).
thf(f428,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_14
| ~ spl2_18 ),
inference(constrained_superposition,[],[f426,f51]) ).
thf(f429,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_18 ),
inference(duplicate_literal_removal,[],[f428]) ).
thf(f430,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_14
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f429]) ).
thf(f433,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_14
| ~ spl2_28 ),
inference(constrained_superposition,[],[f186,f376]) ).
thf(f437,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f433]) ).
thf(f439,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_14
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f437,f376]) ).
thf(f442,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_14
| ~ spl2_28 ),
inference(constrained_superposition,[],[f439,f376]) ).
thf(f444,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_14
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f442]) ).
thf(f449,plain,
( ! [X1: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_18
| ~ spl2_28 ),
inference(constrained_superposition,[],[f417,f444]) ).
thf(f463,plain,
( ! [X1: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_18
| ~ spl2_28 ),
inference(duplicate_literal_removal,[],[f449]) ).
thf(f464,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_14
| ~ spl2_18
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f463]) ).
thf(f468,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_14
| ~ spl2_18
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f464,f49]) ).
thf(f469,plain,
( spl2_10
| ~ spl2_14
| ~ spl2_18
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f468,f349,f181,f160,f140]) ).
thf(f475,definition,
( spl2_30
<=> ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).
thf(f476,plain,
( ! [X0: $i] :
( $true
!= ( b @ sK1 @ X0 ) )
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f475]) ).
thf(f477,plain,
( spl2_30
| spl2_16
| ~ spl2_14
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f430,f181,f160,f167,f475]) ).
thf(f485,definition,
( spl2_31
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f486,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f485]) ).
thf(f525,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
= $true )
| ( X0 = X1 )
| ( X0 = X2 )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( X1 = X2 )
| ( $true
= ( b @ X2 @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f332,f28]) ).
thf(f531,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X2 )
= $true )
| ( X1 = X2 )
| ( $true
= ( b @ X2 @ X1 ) )
| ( X0 = X2 ) ),
inference(trivial_inequality_removal,[],[f525]) ).
thf(f578,definition,
( spl2_33
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X1 )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
thf(f579,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X1 )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f578]) ).
thf(f582,definition,
( spl2_34
<=> ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
thf(f583,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f582]) ).
thf(f687,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( sK1 = X2 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( $true != $true ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f420,f51]) ).
thf(f688,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( sK1 = X2 )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f687]) ).
thf(f689,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X2 )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f688,f49]) ).
thf(f762,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_16 ),
inference(avatar_component_clause,[],[f167]) ).
thf(f768,plain,
( ( $true != $true )
| ~ spl2_14
| ~ spl2_30 ),
inference(constrained_superposition,[],[f476,f355]) ).
thf(f771,plain,
( $false
| ~ spl2_14
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f768]) ).
thf(f772,plain,
( ~ spl2_14
| ~ spl2_30 ),
inference(avatar_contradiction_clause,[],[f771]) ).
thf(f773,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| spl2_9 ),
inference(constrained_superposition,[],[f130,f51]) ).
thf(f774,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_9 ),
inference(trivial_inequality_removal,[],[f773]) ).
thf(f775,plain,
( spl2_16
| spl2_9 ),
inference(avatar_split_clause,[],[f774,f129,f167]) ).
thf(f784,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_10
| ~ spl2_18 ),
inference(constrained_superposition,[],[f141,f182]) ).
thf(f789,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_10
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f784]) ).
thf(f791,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_18 ),
inference(constrained_superposition,[],[f789,f51]) ).
thf(f792,plain,
( ! [X0: $i] :
( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_10
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f791]) ).
thf(f837,plain,
( spl2_21
| ~ spl2_10
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f792,f181,f140,f206]) ).
thf(f995,definition,
( spl2_41
<=> ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
thf(f996,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f995]) ).
thf(f1589,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(extensionality_resolution,[],[f65,f49]) ).
thf(f1605,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( b @ X2 @ X0 ) )
| ( $true
= ( b @ X0 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X2 = X3 )
| ( X0 = X3 )
| ( ( b @ X2 @ X3 )
= $true )
| ( X0 = X2 ) ),
inference(constrained_superposition,[],[f531,f28]) ).
thf(f1610,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X2 )
| ( X1 = X2 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f531,f64]) ).
thf(f1614,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( sK0 @ sK1 )
= X2 )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f1610]) ).
thf(f1619,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ X0 ) )
| ( X0 = X1 )
| ( X0 = X3 )
| ( X0 = X2 )
| ( ( b @ X2 @ X3 )
= $true )
| ( X2 = X3 )
| ( $true
= ( b @ X0 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f1605]) ).
thf(f1622,definition,
( spl2_44
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).
thf(f1623,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f1622]) ).
thf(f1625,definition,
( spl2_45
<=> ! [X2: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X2 )
| ( X1 = X2 )
| ( ( b @ X1 @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
thf(f1626,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( X1 = X2 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( sK0 @ sK1 )
= X2 ) )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f1625]) ).
thf(f1627,plain,
( spl2_44
| spl2_45 ),
inference(avatar_split_clause,[],[f1614,f1625,f1622]) ).
thf(f2217,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f25,f1589]) ).
thf(f2224,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f2217]) ).
thf(f2230,definition,
( spl2_54
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
thf(f2231,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_54 ),
inference(avatar_component_clause,[],[f2230]) ).
thf(f2234,definition,
( spl2_55
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
thf(f2235,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f2234]) ).
thf(f2237,definition,
( spl2_56
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
thf(f2238,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f2237]) ).
thf(f2239,plain,
( spl2_55
| spl2_56 ),
inference(avatar_split_clause,[],[f2224,f2237,f2234]) ).
thf(f2249,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_54 ),
inference(constrained_superposition,[],[f2231,f52]) ).
thf(f2251,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_54 ),
inference(trivial_inequality_removal,[],[f2249]) ).
thf(f2254,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f2251,f49]) ).
thf(f2256,definition,
( spl2_57
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_57])],[avatar_definition]) ).
thf(f2257,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_57 ),
inference(avatar_component_clause,[],[f2256]) ).
thf(f2259,definition,
( spl2_58
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).
thf(f2260,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_58 ),
inference(avatar_component_clause,[],[f2259]) ).
thf(f2262,plain,
( spl2_58
| spl2_54 ),
inference(avatar_split_clause,[],[f2254,f2230,f2259]) ).
thf(f2303,definition,
( spl2_59
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f2304,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_59 ),
inference(avatar_component_clause,[],[f2303]) ).
thf(f2314,definition,
( spl2_62
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_62])],[avatar_definition]) ).
thf(f2315,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_62 ),
inference(avatar_component_clause,[],[f2314]) ).
thf(f2321,definition,
( spl2_64
<=> ! [X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_64])],[avatar_definition]) ).
thf(f2322,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_64 ),
inference(avatar_component_clause,[],[f2321]) ).
thf(f2326,definition,
( spl2_65
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).
thf(f2327,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) ) )
| ~ spl2_65 ),
inference(avatar_component_clause,[],[f2326]) ).
thf(f2355,definition,
( spl2_70
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_70])],[avatar_definition]) ).
thf(f2356,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_70 ),
inference(avatar_component_clause,[],[f2355]) ).
thf(f2511,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| spl2_59 ),
inference(constrained_superposition,[],[f2304,f51]) ).
thf(f2518,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_59 ),
inference(trivial_inequality_removal,[],[f2511]) ).
thf(f2521,plain,
( $false
| ~ spl2_55
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f2518,f2235]) ).
thf(f2522,plain,
( ~ spl2_55
| spl2_59 ),
inference(avatar_contradiction_clause,[],[f2521]) ).
thf(f2618,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_58 ),
inference(avatar_component_clause,[],[f2259]) ).
thf(f2627,definition,
( spl2_74
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).
thf(f2628,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f2627]) ).
thf(f2631,definition,
( spl2_75
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).
thf(f2632,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_75 ),
inference(avatar_component_clause,[],[f2631]) ).
thf(f2718,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f290]) ).
thf(f2790,definition,
( spl2_78
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).
thf(f2791,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_78 ),
inference(avatar_component_clause,[],[f2790]) ).
thf(f2793,definition,
( spl2_79
<=> ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).
thf(f2794,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79 ),
inference(avatar_component_clause,[],[f2793]) ).
thf(f2857,definition,
( spl2_81
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).
thf(f2858,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl2_81 ),
inference(avatar_component_clause,[],[f2857]) ).
thf(f2868,definition,
( spl2_83
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_83])],[avatar_definition]) ).
thf(f2869,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_83 ),
inference(avatar_component_clause,[],[f2868]) ).
thf(f2904,definition,
( spl2_84
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).
thf(f2905,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_84 ),
inference(avatar_component_clause,[],[f2904]) ).
thf(f3226,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_84 ),
inference(avatar_component_clause,[],[f2904]) ).
thf(f3235,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f186,f3226]) ).
thf(f3243,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f3235]) ).
thf(f3252,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_58
| ~ spl2_84 ),
inference(forward_subsumption_resolution,[],[f3243,f2618]) ).
thf(f3257,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_16
| spl2_58
| ~ spl2_84 ),
inference(forward_subsumption_resolution,[],[f3252,f168]) ).
thf(f3258,plain,
( spl2_55
| ~ spl2_16
| spl2_58
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f3257,f2904,f2259,f167,f2234]) ).
thf(f3259,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| spl2_84 ),
inference(constrained_superposition,[],[f2905,f28]) ).
thf(f3260,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_84 ),
inference(trivial_inequality_removal,[],[f3259]) ).
thf(f3543,definition,
( spl2_106
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition]) ).
thf(f3544,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_106 ),
inference(avatar_component_clause,[],[f3543]) ).
thf(f3691,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| spl2_57 ),
inference(avatar_component_clause,[],[f2256]) ).
thf(f3712,definition,
( spl2_109
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_109])],[avatar_definition]) ).
thf(f3713,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_109 ),
inference(avatar_component_clause,[],[f3712]) ).
thf(f3727,definition,
( spl2_110
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f3728,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f3727]) ).
thf(f3730,definition,
( spl2_111
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_111])],[avatar_definition]) ).
thf(f3731,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_111 ),
inference(avatar_component_clause,[],[f3730]) ).
thf(f3734,definition,
( spl2_112
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_112])],[avatar_definition]) ).
thf(f3735,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_112 ),
inference(avatar_component_clause,[],[f3734]) ).
thf(f3737,definition,
( spl2_113
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_113])],[avatar_definition]) ).
thf(f3738,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_113 ),
inference(avatar_component_clause,[],[f3737]) ).
thf(f3741,definition,
( spl2_114
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_114])],[avatar_definition]) ).
thf(f3742,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_114 ),
inference(avatar_component_clause,[],[f3741]) ).
thf(f3744,definition,
( spl2_115
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_115])],[avatar_definition]) ).
thf(f3745,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_115 ),
inference(avatar_component_clause,[],[f3744]) ).
thf(f3833,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_84 ),
inference(forward_subsumption_resolution,[],[f3260,f49]) ).
thf(f3862,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_111 ),
inference(constrained_superposition,[],[f62,f3731]) ).
thf(f3897,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f3862]) ).
thf(f3912,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl2_84
| ~ spl2_111 ),
inference(forward_subsumption_resolution,[],[f3897,f3833]) ).
thf(f3917,definition,
( spl2_116
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_116])],[avatar_definition]) ).
thf(f3918,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_116 ),
inference(avatar_component_clause,[],[f3917]) ).
thf(f3927,plain,
( spl2_109
| spl2_65
| spl2_84
| ~ spl2_111 ),
inference(avatar_split_clause,[],[f3912,f3730,f2904,f2326,f3712]) ).
thf(f3938,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f186,f3728]) ).
thf(f3946,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f3938]) ).
thf(f3954,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_58
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f3946,f2618]) ).
thf(f3956,definition,
( spl2_117
<=> ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_117])],[avatar_definition]) ).
thf(f3957,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_117 ),
inference(avatar_component_clause,[],[f3956]) ).
thf(f3959,definition,
( spl2_118
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f3960,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f3959]) ).
thf(f3963,definition,
( spl2_119
<=> ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_119])],[avatar_definition]) ).
thf(f3964,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_119 ),
inference(avatar_component_clause,[],[f3963]) ).
thf(f3967,definition,
( spl2_120
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_120])],[avatar_definition]) ).
thf(f3968,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_120 ),
inference(avatar_component_clause,[],[f3967]) ).
thf(f3969,plain,
( ~ spl2_120
| spl2_55
| spl2_58
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f3954,f3727,f2259,f2234,f3967]) ).
thf(f3981,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_120 ),
inference(constrained_superposition,[],[f3968,f52]) ).
thf(f3985,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_120 ),
inference(trivial_inequality_removal,[],[f3981]) ).
thf(f3987,definition,
( spl2_121
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f3988,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_121 ),
inference(avatar_component_clause,[],[f3987]) ).
thf(f3990,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_120 ),
inference(forward_subsumption_resolution,[],[f3985,f49]) ).
thf(f3991,plain,
( spl2_121
| spl2_120 ),
inference(avatar_split_clause,[],[f3990,f3967,f3987]) ).
thf(f4041,plain,
( $false
| ~ spl2_109
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f3713,f3957]) ).
thf(f4042,plain,
( ~ spl2_109
| ~ spl2_117 ),
inference(avatar_contradiction_clause,[],[f4041]) ).
thf(f4051,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_116 ),
inference(constrained_superposition,[],[f186,f3918]) ).
thf(f4093,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_116 ),
inference(duplicate_literal_removal,[],[f4051]) ).
thf(f4104,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_24
| ~ spl2_116 ),
inference(forward_subsumption_resolution,[],[f4093,f291]) ).
thf(f4110,plain,
( spl2_3
| spl2_3
| spl2_24
| ~ spl2_116 ),
inference(avatar_split_clause,[],[f4104,f3917,f290,f83,f83]) ).
thf(f4139,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_41
| ~ spl2_58 ),
inference(constrained_superposition,[],[f996,f2260]) ).
thf(f4149,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_41
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f4139]) ).
thf(f4188,definition,
( spl2_123
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).
thf(f4189,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_123 ),
inference(avatar_component_clause,[],[f4188]) ).
thf(f4209,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_117 ),
inference(constrained_superposition,[],[f3957,f63]) ).
thf(f4213,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_117 ),
inference(trivial_inequality_removal,[],[f4209]) ).
thf(f4238,definition,
( spl2_125
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_125])],[avatar_definition]) ).
thf(f4239,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_125 ),
inference(avatar_component_clause,[],[f4238]) ).
thf(f4247,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_117 ),
inference(constrained_superposition,[],[f141,f4213]) ).
thf(f4253,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_10
| ~ spl2_117 ),
inference(trivial_inequality_removal,[],[f4247]) ).
thf(f4256,plain,
( ~ spl2_125
| ~ spl2_10
| ~ spl2_117 ),
inference(avatar_split_clause,[],[f4253,f3956,f140,f4238]) ).
thf(f4262,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_110 ),
inference(constrained_superposition,[],[f87,f3728]) ).
thf(f4267,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f56,f3728]) ).
thf(f4272,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f4262]) ).
thf(f4276,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f4267]) ).
thf(f4278,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_41
| ~ spl2_58
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f4272,f4149]) ).
thf(f4279,plain,
( spl2_119
| spl2_55
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f4276,f3727,f2234,f3963]) ).
thf(f4280,plain,
( ~ spl2_120
| ~ spl2_4
| ~ spl2_41
| ~ spl2_58
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f4278,f3727,f2259,f995,f86,f3967]) ).
thf(f4282,definition,
( spl2_127
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).
thf(f4283,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f4282]) ).
thf(f4284,plain,
( spl2_127
| ~ spl2_120
| ~ spl2_4
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f4272,f3727,f86,f3967,f4282]) ).
thf(f4285,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_127 ),
inference(constrained_superposition,[],[f141,f4283]) ).
thf(f4304,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_10
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f4285]) ).
thf(f4306,plain,
( $false
| ~ spl2_10
| spl2_84
| ~ spl2_127 ),
inference(forward_subsumption_resolution,[],[f4304,f3833]) ).
thf(f4307,plain,
( ~ spl2_10
| spl2_84
| ~ spl2_127 ),
inference(avatar_contradiction_clause,[],[f4306]) ).
thf(f4308,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_31
| ~ spl2_109 ),
inference(constrained_superposition,[],[f486,f3713]) ).
thf(f4309,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_109 ),
inference(constrained_superposition,[],[f2238,f3713]) ).
thf(f4319,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f4309]) ).
thf(f4325,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f4308]) ).
thf(f4335,definition,
( spl2_129
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_129])],[avatar_definition]) ).
thf(f4336,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_129 ),
inference(avatar_component_clause,[],[f4335]) ).
thf(f4337,plain,
( spl2_129
| spl2_116
| ~ spl2_31
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f4325,f3712,f485,f3917,f4335]) ).
thf(f4339,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_125 ),
inference(avatar_component_clause,[],[f4238]) ).
thf(f4343,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_129 ),
inference(constrained_superposition,[],[f141,f4336]) ).
thf(f4352,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_10
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f4343]) ).
thf(f4361,plain,
( ~ spl2_125
| ~ spl2_10
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f4352,f4335,f140,f4238]) ).
thf(f4363,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_125 ),
inference(constrained_superposition,[],[f4239,f51]) ).
thf(f4365,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_125 ),
inference(trivial_inequality_removal,[],[f4363]) ).
thf(f4388,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_62
| ~ spl2_111 ),
inference(constrained_superposition,[],[f2315,f3731]) ).
thf(f4392,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_62
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f4388]) ).
thf(f4401,plain,
( $false
| ~ spl2_62
| ~ spl2_111
| ~ spl2_121 ),
inference(forward_subsumption_resolution,[],[f4392,f3988]) ).
thf(f4402,plain,
( ~ spl2_62
| ~ spl2_111
| ~ spl2_121 ),
inference(avatar_contradiction_clause,[],[f4401]) ).
thf(f4428,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_112 ),
inference(constrained_superposition,[],[f416,f3735]) ).
thf(f4436,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_14
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f4428]) ).
thf(f4443,definition,
( spl2_131
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_131])],[avatar_definition]) ).
thf(f4444,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_131 ),
inference(avatar_component_clause,[],[f4443]) ).
thf(f4446,definition,
( spl2_132
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).
thf(f4447,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_132 ),
inference(avatar_component_clause,[],[f4446]) ).
thf(f4448,plain,
( ~ spl2_131
| spl2_132
| ~ spl2_14
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f4436,f3734,f160,f4446,f4443]) ).
thf(f4449,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_131 ),
inference(constrained_superposition,[],[f4444,f51]) ).
thf(f4451,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_131 ),
inference(trivial_inequality_removal,[],[f4449]) ).
thf(f4456,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_4
| spl2_131 ),
inference(constrained_superposition,[],[f87,f4451]) ).
thf(f4461,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_131 ),
inference(constrained_superposition,[],[f56,f4451]) ).
thf(f4464,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| spl2_131 ),
inference(trivial_inequality_removal,[],[f4461]) ).
thf(f4466,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| spl2_131 ),
inference(trivial_inequality_removal,[],[f4456]) ).
thf(f4477,definition,
( spl2_134
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_134])],[avatar_definition]) ).
thf(f4478,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_134 ),
inference(avatar_component_clause,[],[f4477]) ).
thf(f4481,definition,
( spl2_135
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_135])],[avatar_definition]) ).
thf(f4482,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ~ spl2_135 ),
inference(avatar_component_clause,[],[f4481]) ).
thf(f4484,definition,
( spl2_136
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_136])],[avatar_definition]) ).
thf(f4485,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_136 ),
inference(avatar_component_clause,[],[f4484]) ).
thf(f4486,plain,
( spl2_135
| spl2_136
| spl2_131 ),
inference(avatar_split_clause,[],[f4464,f4443,f4484,f4481]) ).
thf(f4487,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_16
| spl2_131 ),
inference(forward_subsumption_resolution,[],[f4466,f168]) ).
thf(f4490,plain,
( spl2_134
| ~ spl2_4
| ~ spl2_16
| spl2_131 ),
inference(avatar_split_clause,[],[f4487,f4443,f167,f86,f4477]) ).
thf(f4492,definition,
( spl2_137
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_137])],[avatar_definition]) ).
thf(f4493,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_137 ),
inference(avatar_component_clause,[],[f4492]) ).
thf(f4498,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_135 ),
inference(constrained_superposition,[],[f4482,f63]) ).
thf(f4501,plain,
( ( $true != $true )
| spl2_131
| ~ spl2_135 ),
inference(constrained_superposition,[],[f4482,f4451]) ).
thf(f4503,plain,
( $false
| spl2_131
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f4501]) ).
thf(f4504,plain,
( spl2_131
| ~ spl2_135 ),
inference(avatar_contradiction_clause,[],[f4503]) ).
thf(f4506,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f4498]) ).
thf(f4510,plain,
( spl2_134
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f4506,f4481,f4477]) ).
thf(f4511,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_134 ),
inference(constrained_superposition,[],[f141,f4478]) ).
thf(f4523,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_10
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f4511]) ).
thf(f4564,definition,
( spl2_138
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_138])],[avatar_definition]) ).
thf(f4565,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138 ),
inference(avatar_component_clause,[],[f4564]) ).
thf(f4567,definition,
( spl2_139
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_139])],[avatar_definition]) ).
thf(f4568,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_139 ),
inference(avatar_component_clause,[],[f4567]) ).
thf(f4575,definition,
( spl2_141
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_141])],[avatar_definition]) ).
thf(f4576,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_141 ),
inference(avatar_component_clause,[],[f4575]) ).
thf(f4578,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_139 ),
inference(constrained_superposition,[],[f4568,f65]) ).
thf(f4581,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_139 ),
inference(trivial_inequality_removal,[],[f4578]) ).
thf(f4584,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_139 ),
inference(forward_subsumption_resolution,[],[f4581,f49]) ).
thf(f4586,definition,
( spl2_142
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_142])],[avatar_definition]) ).
thf(f4587,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_142 ),
inference(avatar_component_clause,[],[f4586]) ).
thf(f4589,definition,
( spl2_143
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_143])],[avatar_definition]) ).
thf(f4590,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_143 ),
inference(avatar_component_clause,[],[f4589]) ).
thf(f4593,plain,
( spl2_143
| spl2_139 ),
inference(avatar_split_clause,[],[f4584,f4567,f4589]) ).
thf(f4594,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f62,f4590]) ).
thf(f4604,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f4594]) ).
thf(f4724,definition,
( spl2_144
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_144])],[avatar_definition]) ).
thf(f4725,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_144 ),
inference(avatar_component_clause,[],[f4724]) ).
thf(f4925,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_109
| ~ spl2_118 ),
inference(constrained_superposition,[],[f3960,f3713]) ).
thf(f4932,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_109
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f4925]) ).
thf(f4960,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_131
| ~ spl2_141 ),
inference(constrained_superposition,[],[f4576,f4451]) ).
thf(f4964,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_131
| ~ spl2_141 ),
inference(trivial_inequality_removal,[],[f4960]) ).
thf(f4968,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_144 ),
inference(avatar_component_clause,[],[f4724]) ).
thf(f4970,definition,
( spl2_146
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_146])],[avatar_definition]) ).
thf(f4971,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_146 ),
inference(avatar_component_clause,[],[f4970]) ).
thf(f4973,plain,
( $false
| ~ spl2_109
| spl2_131
| ~ spl2_141 ),
inference(forward_subsumption_resolution,[],[f4964,f3713]) ).
thf(f4974,plain,
( ~ spl2_109
| spl2_131
| ~ spl2_141 ),
inference(avatar_contradiction_clause,[],[f4973]) ).
thf(f4977,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl2_84
| ~ spl2_143 ),
inference(forward_subsumption_resolution,[],[f4604,f3833]) ).
thf(f4981,plain,
( ~ spl2_131
| ~ spl2_10
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f4523,f4477,f140,f4443]) ).
thf(f4983,definition,
( spl2_147
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_147])],[avatar_definition]) ).
thf(f4984,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_147 ),
inference(avatar_component_clause,[],[f4983]) ).
thf(f4987,plain,
( spl2_65
| spl2_147
| spl2_84
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f4977,f4589,f2904,f4983,f2326]) ).
thf(f4990,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_131 ),
inference(constrained_superposition,[],[f4444,f51]) ).
thf(f4993,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_131 ),
inference(trivial_inequality_removal,[],[f4990]) ).
thf(f4994,plain,
( spl2_147
| spl2_131 ),
inference(avatar_split_clause,[],[f4993,f4443,f4983]) ).
thf(f5016,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_144 ),
inference(constrained_superposition,[],[f4968,f1589]) ).
thf(f5022,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_144 ),
inference(trivial_inequality_removal,[],[f5016]) ).
thf(f5026,plain,
( spl2_138
| spl2_144 ),
inference(avatar_split_clause,[],[f5022,f4724,f4564]) ).
thf(f5028,definition,
( spl2_148
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_148])],[avatar_definition]) ).
thf(f5029,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_148 ),
inference(avatar_component_clause,[],[f5028]) ).
thf(f5053,definition,
( spl2_149
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_149])],[avatar_definition]) ).
thf(f5054,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_149 ),
inference(avatar_component_clause,[],[f5053]) ).
thf(f5125,plain,
( ~ spl2_84
| ~ spl2_109
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f4932,f3959,f3712,f2904]) ).
thf(f5132,plain,
( spl2_138
| ~ spl2_84
| ~ spl2_56
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f4319,f3712,f2237,f2904,f4564]) ).
thf(f5141,definition,
( spl2_153
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_153])],[avatar_definition]) ).
thf(f5142,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_153 ),
inference(avatar_component_clause,[],[f5141]) ).
thf(f5146,definition,
( spl2_154
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_154])],[avatar_definition]) ).
thf(f5147,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_154 ),
inference(avatar_component_clause,[],[f5146]) ).
thf(f5149,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_59 ),
inference(constrained_superposition,[],[f2304,f51]) ).
thf(f5151,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_59 ),
inference(trivial_inequality_removal,[],[f5149]) ).
thf(f5153,plain,
( spl2_84
| spl2_59 ),
inference(avatar_split_clause,[],[f5151,f2303,f2904]) ).
thf(f5156,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_84 ),
inference(constrained_superposition,[],[f87,f3226]) ).
thf(f5163,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f5156]) ).
thf(f5172,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_16
| ~ spl2_84 ),
inference(forward_subsumption_resolution,[],[f5163,f168]) ).
thf(f5175,plain,
( spl2_127
| ~ spl2_4
| ~ spl2_16
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f5172,f2904,f167,f86,f4282]) ).
thf(f5201,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_14
| ~ spl2_138 ),
inference(constrained_superposition,[],[f369,f4565]) ).
thf(f5206,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f5201]) ).
thf(f5238,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_112
| ~ spl2_154 ),
inference(constrained_superposition,[],[f5147,f3735]) ).
thf(f5247,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_112
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f5238]) ).
thf(f5252,plain,
( ~ spl2_131
| ~ spl2_112
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f5247,f5146,f3734,f4443]) ).
thf(f5277,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_112
| ~ spl2_153 ),
inference(constrained_superposition,[],[f5142,f3735]) ).
thf(f5282,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_112
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f5277]) ).
thf(f5285,plain,
( $false
| ~ spl2_112
| ~ spl2_121
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f5282,f3988]) ).
thf(f5286,plain,
( ~ spl2_112
| ~ spl2_121
| ~ spl2_153 ),
inference(avatar_contradiction_clause,[],[f5285]) ).
thf(f5292,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_147 ),
inference(constrained_superposition,[],[f2238,f4984]) ).
thf(f5301,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_56
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f5292]) ).
thf(f5311,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_84
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f5301,f3226]) ).
thf(f5315,plain,
( spl2_146
| ~ spl2_56
| ~ spl2_84
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f5311,f4983,f2904,f2237,f4970]) ).
thf(f5324,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_134 ),
inference(constrained_superposition,[],[f369,f4478]) ).
thf(f5332,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f5324]) ).
thf(f5395,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_121
| ~ spl2_138 ),
inference(constrained_superposition,[],[f5206,f3988]) ).
thf(f5406,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_121
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f5395]) ).
thf(f5416,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_134
| ~ spl2_137 ),
inference(constrained_superposition,[],[f5332,f4493]) ).
thf(f5427,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_134
| ~ spl2_137 ),
inference(duplicate_literal_removal,[],[f5416]) ).
thf(f5428,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_134
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f5427]) ).
thf(f5559,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_121
| ~ spl2_154 ),
inference(constrained_superposition,[],[f5147,f3988]) ).
thf(f5568,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_121
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f5559]) ).
thf(f5638,definition,
( spl2_170
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_170])],[avatar_definition]) ).
thf(f5639,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_170 ),
inference(avatar_component_clause,[],[f5638]) ).
thf(f5648,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true ) )
| ~ spl2_24 ),
inference(constrained_superposition,[],[f26,f2718]) ).
thf(f5657,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) ) )
| ~ spl2_24 ),
inference(duplicate_literal_removal,[],[f5648]) ).
thf(f5658,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f5657]) ).
thf(f5660,plain,
( spl2_81
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f5658,f290,f2857]) ).
thf(f5661,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| spl2_84 ),
inference(constrained_superposition,[],[f2905,f28]) ).
thf(f5662,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_84 ),
inference(trivial_inequality_removal,[],[f5661]) ).
thf(f5663,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_84 ),
inference(forward_subsumption_resolution,[],[f5662,f49]) ).
thf(f5666,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| spl2_84 ),
inference(constrained_superposition,[],[f26,f5663]) ).
thf(f5669,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_84 ),
inference(trivial_inequality_removal,[],[f5666]) ).
thf(f5675,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_83 ),
inference(constrained_superposition,[],[f62,f2869]) ).
thf(f5692,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_83 ),
inference(trivial_inequality_removal,[],[f5675]) ).
thf(f5699,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_83
| spl2_84 ),
inference(forward_subsumption_resolution,[],[f5692,f2905]) ).
thf(f5703,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_83
| spl2_84 ),
inference(forward_subsumption_resolution,[],[f5699,f5663]) ).
thf(f5706,plain,
( spl2_65
| ~ spl2_83
| spl2_84 ),
inference(avatar_split_clause,[],[f5703,f2904,f2868,f2326]) ).
thf(f5707,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f2235,f63]) ).
thf(f5711,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f5707]) ).
thf(f5715,plain,
( spl2_127
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f5711,f2234,f4282]) ).
thf(f5719,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_45
| spl2_58 ),
inference(constrained_superposition,[],[f2618,f1626]) ).
thf(f5722,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_45
| spl2_58 ),
inference(trivial_inequality_removal,[],[f5719]) ).
thf(f5725,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_45
| spl2_57
| spl2_58 ),
inference(forward_subsumption_resolution,[],[f5722,f3691]) ).
thf(f5727,plain,
( spl2_75
| ~ spl2_45
| spl2_57
| spl2_58 ),
inference(avatar_split_clause,[],[f5725,f2259,f2256,f1625,f2631]) ).
thf(f5753,plain,
( $false
| ~ spl2_55
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f3728,f2235]) ).
thf(f5754,plain,
( ~ spl2_55
| ~ spl2_110 ),
inference(avatar_contradiction_clause,[],[f5753]) ).
thf(f5767,plain,
( spl2_34
| ~ spl2_9
| ~ spl2_14
| ~ spl2_134
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f5428,f4492,f4477,f160,f129,f582]) ).
thf(f5778,plain,
( ~ spl2_9
| ~ spl2_121
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f5568,f5146,f3987,f129]) ).
thf(f5786,plain,
( spl2_62
| ~ spl2_9
| ~ spl2_14
| ~ spl2_121
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f5406,f4564,f3987,f160,f129,f2314]) ).
thf(f5793,definition,
( spl2_175
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f5794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f5793]) ).
thf(f5819,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_131 ),
inference(avatar_component_clause,[],[f4443]) ).
thf(f5832,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f84,f64]) ).
thf(f5834,plain,
( ( $true != $true )
| ~ spl2_3
| ~ spl2_16 ),
inference(constrained_superposition,[],[f84,f168]) ).
thf(f5835,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_3 ),
inference(constrained_superposition,[],[f84,f28]) ).
thf(f5836,plain,
( $false
| ~ spl2_3
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f5834]) ).
thf(f5837,plain,
( ~ spl2_3
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f5836]) ).
thf(f5838,plain,
( ! [X0: $i] :
( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f5832]) ).
thf(f5839,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f5835]) ).
thf(f5841,plain,
( spl2_44
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f5838,f83,f1622]) ).
thf(f5842,plain,
( spl2_106
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f5839,f83,f3543]) ).
thf(f5843,plain,
( ( $true != $true )
| ~ spl2_21
| spl2_84 ),
inference(constrained_superposition,[],[f2905,f207]) ).
thf(f5855,plain,
( $false
| ~ spl2_21
| spl2_84 ),
inference(trivial_inequality_removal,[],[f5843]) ).
thf(f5856,plain,
( ~ spl2_21
| spl2_84 ),
inference(avatar_contradiction_clause,[],[f5855]) ).
thf(f5871,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_129 ),
inference(constrained_superposition,[],[f26,f4336]) ).
thf(f5875,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f5871]) ).
thf(f5881,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_135 ),
inference(constrained_superposition,[],[f4482,f1589]) ).
thf(f5885,plain,
( ( $true != $true )
| ~ spl2_135
| ~ spl2_147 ),
inference(constrained_superposition,[],[f4482,f4984]) ).
thf(f5889,plain,
( $false
| ~ spl2_135
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f5885]) ).
thf(f5890,plain,
( ~ spl2_135
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f5889]) ).
thf(f5892,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f5881]) ).
thf(f5895,plain,
( spl2_146
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f5892,f4481,f4970]) ).
thf(f5898,plain,
( ( $true != $true )
| ~ spl2_34
| ~ spl2_121 ),
inference(constrained_superposition,[],[f583,f3988]) ).
thf(f5908,plain,
( $false
| ~ spl2_34
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f5898]) ).
thf(f5909,plain,
( ~ spl2_34
| ~ spl2_121 ),
inference(avatar_contradiction_clause,[],[f5908]) ).
thf(f5911,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_7
| spl2_84 ),
inference(constrained_superposition,[],[f2905,f124]) ).
thf(f5923,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_7
| spl2_84 ),
inference(trivial_inequality_removal,[],[f5911]) ).
thf(f5930,plain,
( $false
| ~ spl2_7
| spl2_84 ),
inference(forward_subsumption_resolution,[],[f5923,f49]) ).
thf(f5931,plain,
( ~ spl2_7
| spl2_84 ),
inference(avatar_contradiction_clause,[],[f5930]) ).
thf(f5984,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_14
| ~ spl2_138 ),
inference(constrained_superposition,[],[f419,f4565]) ).
thf(f5985,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_138 ),
inference(constrained_superposition,[],[f689,f4565]) ).
thf(f5993,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1 = X0 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f5985]) ).
thf(f5997,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f5984]) ).
thf(f5999,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f5997,f49]) ).
thf(f6000,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_14
| spl2_84
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f5999,f2905]) ).
thf(f6001,plain,
( spl2_154
| ~ spl2_14
| spl2_84
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f6000,f4564,f2904,f160,f5146]) ).
thf(f6144,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_109
| ~ spl2_148 ),
inference(constrained_superposition,[],[f3713,f5029]) ).
thf(f6146,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_113
| ~ spl2_148 ),
inference(constrained_superposition,[],[f3738,f5029]) ).
thf(f6149,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_121
| ~ spl2_148 ),
inference(constrained_superposition,[],[f3988,f5029]) ).
thf(f6159,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_131
| ~ spl2_148 ),
inference(constrained_superposition,[],[f5819,f5029]) ).
thf(f6190,plain,
( $false
| ~ spl2_113
| spl2_144
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f6146,f4968]) ).
thf(f6191,plain,
( ~ spl2_113
| spl2_144
| ~ spl2_148 ),
inference(avatar_contradiction_clause,[],[f6190]) ).
thf(f6195,plain,
( $false
| spl2_58
| ~ spl2_121
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f6149,f2618]) ).
thf(f6196,plain,
( spl2_58
| ~ spl2_121
| ~ spl2_148 ),
inference(avatar_contradiction_clause,[],[f6195]) ).
thf(f6198,plain,
( $false
| spl2_84
| ~ spl2_109
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f6144,f2905]) ).
thf(f6199,plain,
( spl2_84
| ~ spl2_109
| ~ spl2_148 ),
inference(avatar_contradiction_clause,[],[f6198]) ).
thf(f6201,plain,
( $false
| spl2_125
| ~ spl2_131
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f6159,f4239]) ).
thf(f6202,plain,
( spl2_125
| ~ spl2_131
| ~ spl2_148 ),
inference(avatar_contradiction_clause,[],[f6201]) ).
thf(f6233,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f3960,f63]) ).
thf(f6243,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f6233]) ).
thf(f6246,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_114
| ~ spl2_170 ),
inference(constrained_superposition,[],[f5639,f3742]) ).
thf(f6262,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_114
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f6246]) ).
thf(f6307,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_24
| ~ spl2_81 ),
inference(constrained_superposition,[],[f2858,f2718]) ).
thf(f6311,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_24
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f6307]) ).
thf(f6319,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_24
| ~ spl2_81 ),
inference(constrained_superposition,[],[f6311,f2718]) ).
thf(f6325,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_24
| ~ spl2_81 ),
inference(duplicate_literal_removal,[],[f6319]) ).
thf(f6326,plain,
( ! [X0: $i] :
( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_24
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f6325]) ).
thf(f6329,plain,
( ( $true != $true )
| ~ spl2_24
| ~ spl2_81 ),
inference(constrained_superposition,[],[f6326,f2718]) ).
thf(f6343,plain,
( $false
| ~ spl2_24
| ~ spl2_81 ),
inference(trivial_inequality_removal,[],[f6329]) ).
thf(f6344,plain,
( ~ spl2_24
| ~ spl2_81 ),
inference(avatar_contradiction_clause,[],[f6343]) ).
thf(f6439,definition,
( spl2_182
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_182])],[avatar_definition]) ).
thf(f6440,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_182 ),
inference(avatar_component_clause,[],[f6439]) ).
thf(f6442,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_182 ),
inference(constrained_superposition,[],[f6440,f63]) ).
thf(f6446,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_182 ),
inference(trivial_inequality_removal,[],[f6442]) ).
thf(f6459,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_56
| ~ spl2_113 ),
inference(constrained_superposition,[],[f2238,f3738]) ).
thf(f6472,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f6459]) ).
thf(f6474,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_110
| ~ spl2_113 ),
inference(forward_subsumption_resolution,[],[f6472,f3728]) ).
thf(f6475,plain,
( spl2_146
| ~ spl2_56
| ~ spl2_110
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f6474,f3737,f3727,f2237,f4970]) ).
thf(f6593,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_14
| ~ spl2_112 ),
inference(constrained_superposition,[],[f419,f3735]) ).
thf(f6603,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_14
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f6593]) ).
thf(f6658,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_129 ),
inference(constrained_superposition,[],[f5875,f355]) ).
thf(f6666,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_14
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f6658]) ).
thf(f6673,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f6666,f355]) ).
thf(f6678,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_14
| ~ spl2_121
| ~ spl2_129 ),
inference(constrained_superposition,[],[f6673,f3988]) ).
thf(f6682,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_14
| ~ spl2_121
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f6678]) ).
thf(f6689,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_121
| ~ spl2_129 ),
inference(constrained_superposition,[],[f6682,f4336]) ).
thf(f6700,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_121
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f6689]) ).
thf(f6706,plain,
( $false
| ~ spl2_14
| ~ spl2_121
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f6700,f355]) ).
thf(f6707,plain,
( ~ spl2_14
| ~ spl2_121
| ~ spl2_129 ),
inference(avatar_contradiction_clause,[],[f6706]) ).
thf(f6713,plain,
( spl2_129
| spl2_182 ),
inference(avatar_split_clause,[],[f6446,f6439,f4335]) ).
thf(f6714,plain,
( spl2_109
| spl2_125 ),
inference(avatar_split_clause,[],[f4365,f4238,f3712]) ).
thf(f6715,plain,
( ~ spl2_123
| spl2_129
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f6243,f3959,f4335,f4188]) ).
thf(f6719,plain,
( ~ spl2_125
| ~ spl2_114
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f6262,f5638,f3741,f4238]) ).
thf(f6720,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_14
| spl2_84
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f5993,f2905]) ).
thf(f6722,definition,
( spl2_184
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f6723,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f6722]) ).
thf(f6727,definition,
( spl2_185
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
thf(f6728,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f6727]) ).
thf(f6732,definition,
( spl2_186
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f6733,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f6732]) ).
thf(f6738,plain,
( ~ spl2_125
| spl2_186
| ~ spl2_14
| spl2_84
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f6720,f4564,f2904,f160,f6732,f4238]) ).
thf(f6739,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_14
| ~ spl2_112 ),
inference(forward_subsumption_resolution,[],[f6603,f49]) ).
thf(f6740,plain,
( spl2_170
| spl2_109
| ~ spl2_14
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f6739,f3734,f160,f3712,f5638]) ).
thf(f6741,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_129 ),
inference(avatar_component_clause,[],[f4335]) ).
thf(f6747,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_123 ),
inference(constrained_superposition,[],[f4189,f63]) ).
thf(f6749,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_123 ),
inference(constrained_superposition,[],[f4189,f28]) ).
thf(f6751,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_123 ),
inference(trivial_inequality_removal,[],[f6747]) ).
thf(f6752,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_123 ),
inference(trivial_inequality_removal,[],[f6749]) ).
thf(f6754,plain,
( spl2_127
| spl2_123 ),
inference(avatar_split_clause,[],[f6751,f4188,f4282]) ).
thf(f6755,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_57
| spl2_123 ),
inference(forward_subsumption_resolution,[],[f6752,f3691]) ).
thf(f6756,plain,
( spl2_127
| spl2_57
| spl2_123 ),
inference(avatar_split_clause,[],[f6755,f4188,f2256,f4282]) ).
thf(f6796,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_138
| ~ spl2_186 ),
inference(constrained_superposition,[],[f6733,f4565]) ).
thf(f6800,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_138
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f6796]) ).
thf(f6802,plain,
( $false
| ~ spl2_138
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f6800,f49]) ).
thf(f6803,plain,
( ~ spl2_138
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f6802]) ).
thf(f6804,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_117 ),
inference(constrained_superposition,[],[f3957,f1589]) ).
thf(f6805,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_117 ),
inference(constrained_superposition,[],[f3957,f63]) ).
thf(f6809,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_117 ),
inference(trivial_inequality_removal,[],[f6804]) ).
thf(f6811,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_117 ),
inference(trivial_inequality_removal,[],[f6805]) ).
thf(f6814,plain,
( spl2_138
| ~ spl2_117 ),
inference(avatar_split_clause,[],[f6809,f3956,f4564]) ).
thf(f6815,plain,
( spl2_129
| ~ spl2_117 ),
inference(avatar_split_clause,[],[f6811,f3956,f4335]) ).
thf(f6833,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_16 ),
inference(constrained_superposition,[],[f762,f28]) ).
thf(f6834,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_16 ),
inference(trivial_inequality_removal,[],[f6833]) ).
thf(f6835,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_16 ),
inference(forward_subsumption_resolution,[],[f6834,f49]) ).
thf(f6869,plain,
( ( $true != $true )
| ~ spl2_44
| spl2_58 ),
inference(constrained_superposition,[],[f2618,f1623]) ).
thf(f6870,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_44
| spl2_84 ),
inference(constrained_superposition,[],[f5669,f1623]) ).
thf(f6878,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_44 ),
inference(constrained_superposition,[],[f416,f1623]) ).
thf(f6885,plain,
( $false
| ~ spl2_44
| spl2_58 ),
inference(trivial_inequality_removal,[],[f6869]) ).
thf(f6886,plain,
( ~ spl2_44
| spl2_58 ),
inference(avatar_contradiction_clause,[],[f6885]) ).
thf(f6887,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_44
| spl2_84 ),
inference(trivial_inequality_removal,[],[f6870]) ).
thf(f6892,plain,
( ! [X1: $i] :
( ( sK1 = X1 )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f6878]) ).
thf(f6900,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_16
| ~ spl2_44
| spl2_84 ),
inference(forward_subsumption_resolution,[],[f6887,f6835]) ).
thf(f6903,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X1 ) )
| ~ spl2_14
| spl2_16
| ~ spl2_44 ),
inference(forward_subsumption_resolution,[],[f6892,f6835]) ).
thf(f6911,plain,
( spl2_8
| spl2_16
| ~ spl2_44
| spl2_84 ),
inference(avatar_split_clause,[],[f6900,f2904,f1622,f167,f126]) ).
thf(f6914,plain,
( spl2_33
| ~ spl2_14
| spl2_16
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f6903,f1622,f167,f160,f578]) ).
thf(f6983,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ~ spl2_129
| ~ spl2_186 ),
inference(constrained_superposition,[],[f6733,f4336]) ).
thf(f6989,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_129
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f6983]) ).
thf(f6997,plain,
( $false
| ~ spl2_129
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f6989,f49]) ).
thf(f6998,plain,
( ~ spl2_129
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f6997]) ).
thf(f6999,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_111
| ~ spl2_154 ),
inference(constrained_superposition,[],[f5147,f3731]) ).
thf(f7019,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_111
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f6999]) ).
thf(f7022,plain,
( $false
| spl2_84
| ~ spl2_111
| ~ spl2_154 ),
inference(forward_subsumption_resolution,[],[f7019,f5663]) ).
thf(f7023,plain,
( spl2_84
| ~ spl2_111
| ~ spl2_154 ),
inference(avatar_contradiction_clause,[],[f7022]) ).
thf(f7033,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( sK1 = X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f332,f3226]) ).
thf(f7039,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f7033]) ).
thf(f7067,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f26,f4565]) ).
thf(f7072,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f7067]) ).
thf(f7162,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_62
| ~ spl2_111 ),
inference(constrained_superposition,[],[f2315,f3731]) ).
thf(f7167,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_62
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f7162]) ).
thf(f7171,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_111
| ~ spl2_154 ),
inference(constrained_superposition,[],[f5147,f3731]) ).
thf(f7177,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_111
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f7171]) ).
thf(f7180,plain,
( ~ spl2_59
| ~ spl2_111
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f7177,f5146,f3730,f2303]) ).
thf(f7185,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138
| ~ spl2_185 ),
inference(constrained_superposition,[],[f6728,f4565]) ).
thf(f7189,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f7185]) ).
thf(f7193,plain,
( $false
| ~ spl2_14
| ~ spl2_138
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f7189,f355]) ).
thf(f7194,plain,
( ~ spl2_14
| ~ spl2_138
| ~ spl2_185 ),
inference(avatar_contradiction_clause,[],[f7193]) ).
thf(f7197,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_113 ),
inference(constrained_superposition,[],[f87,f3738]) ).
thf(f7198,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_113 ),
inference(constrained_superposition,[],[f186,f3738]) ).
thf(f7207,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f7198]) ).
thf(f7209,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f7197]) ).
thf(f7212,plain,
( spl2_137
| ~ spl2_120
| spl2_135
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f7207,f3737,f4481,f3967,f4492]) ).
thf(f7214,plain,
( spl2_134
| ~ spl2_120
| ~ spl2_4
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f7209,f3737,f86,f3967,f4477]) ).
thf(f7222,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_147 ),
inference(constrained_superposition,[],[f87,f4984]) ).
thf(f7229,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f7222]) ).
thf(f7266,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) ) )
| ~ spl2_112 ),
inference(constrained_superposition,[],[f26,f3735]) ).
thf(f7270,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f7266]) ).
thf(f7293,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138
| ~ spl2_175 ),
inference(constrained_superposition,[],[f5794,f4565]) ).
thf(f7298,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f7293]) ).
thf(f7301,plain,
( ~ spl2_58
| ~ spl2_138
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f7298,f5793,f4564,f2259]) ).
thf(f7312,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_112
| ~ spl2_132 ),
inference(constrained_superposition,[],[f4447,f3735]) ).
thf(f7316,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_112
| ~ spl2_132 ),
inference(trivial_inequality_removal,[],[f7312]) ).
thf(f7456,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f2238,f1589]) ).
thf(f7466,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_56 ),
inference(duplicate_literal_removal,[],[f7456]) ).
thf(f7467,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f7466]) ).
thf(f7474,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_138 ),
inference(constrained_superposition,[],[f7072,f355]) ).
thf(f7480,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_14
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f7474]) ).
thf(f7484,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_14
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f7480,f355]) ).
thf(f7490,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_14
| ~ spl2_111
| ~ spl2_138 ),
inference(constrained_superposition,[],[f7484,f3731]) ).
thf(f7496,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_111
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f7490]) ).
thf(f7497,plain,
( spl2_185
| ~ spl2_14
| ~ spl2_111
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f7496,f4564,f3730,f160,f6727]) ).
thf(f7498,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_112
| ~ spl2_132 ),
inference(forward_subsumption_resolution,[],[f7316,f49]) ).
thf(f7499,plain,
( ~ spl2_125
| ~ spl2_112
| ~ spl2_132 ),
inference(avatar_split_clause,[],[f7498,f4446,f3734,f4238]) ).
thf(f7508,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_125 ),
inference(constrained_superposition,[],[f26,f4339]) ).
thf(f7516,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f7508]) ).
thf(f7519,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_15
| ~ spl2_129 ),
inference(constrained_superposition,[],[f165,f4336]) ).
thf(f7546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_15
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f7519]) ).
thf(f7554,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_15
| ~ spl2_125
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f7546,f4339]) ).
thf(f7561,plain,
( spl2_185
| ~ spl2_15
| ~ spl2_125
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f7554,f4335,f4238,f164,f6727]) ).
thf(f7568,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_62
| ~ spl2_106
| ~ spl2_111 ),
inference(constrained_superposition,[],[f7167,f3544]) ).
thf(f7569,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_58
| ~ spl2_106 ),
inference(constrained_superposition,[],[f2618,f3544]) ).
thf(f7577,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_106
| ~ spl2_154 ),
inference(constrained_superposition,[],[f5147,f3544]) ).
thf(f7587,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_58
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f7569]) ).
thf(f7590,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_106
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f7577]) ).
thf(f7594,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_62
| ~ spl2_106
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f7568]) ).
thf(f7600,plain,
( $false
| spl2_57
| spl2_58
| ~ spl2_106 ),
inference(forward_subsumption_resolution,[],[f7587,f3691]) ).
thf(f7601,plain,
( spl2_57
| spl2_58
| ~ spl2_106 ),
inference(avatar_contradiction_clause,[],[f7600]) ).
thf(f7604,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_16
| ~ spl2_106
| ~ spl2_154 ),
inference(forward_subsumption_resolution,[],[f7590,f6835]) ).
thf(f7606,plain,
( spl2_116
| ~ spl2_62
| ~ spl2_106
| ~ spl2_111 ),
inference(avatar_split_clause,[],[f7594,f3730,f3543,f2314,f3917]) ).
thf(f7616,plain,
( spl2_116
| spl2_16
| ~ spl2_106
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f7604,f5146,f3543,f167,f3917]) ).
thf(f7635,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_127 ),
inference(constrained_superposition,[],[f419,f4283]) ).
thf(f7648,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_14
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f7635]) ).
thf(f7659,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_144 ),
inference(constrained_superposition,[],[f87,f4725]) ).
thf(f7660,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_144 ),
inference(constrained_superposition,[],[f186,f4725]) ).
thf(f7666,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f7659]) ).
thf(f7673,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f7660]) ).
thf(f7674,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4
| spl2_129
| ~ spl2_144 ),
inference(forward_subsumption_resolution,[],[f7666,f6741]) ).
thf(f7678,plain,
( ~ spl2_54
| ~ spl2_4
| spl2_129
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f7674,f4724,f4335,f86,f2230]) ).
thf(f7680,plain,
( spl2_117
| ~ spl2_54
| spl2_121
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f7673,f4724,f3987,f2230,f3956]) ).
thf(f7690,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_58
| ~ spl2_70 ),
inference(constrained_superposition,[],[f2356,f2260]) ).
thf(f7692,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_58 ),
inference(constrained_superposition,[],[f62,f2260]) ).
thf(f7700,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_58 ),
inference(constrained_superposition,[],[f26,f2260]) ).
thf(f7703,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f7692]) ).
thf(f7709,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_58
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f7690]) ).
thf(f7711,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f7700]) ).
thf(f7715,plain,
( $false
| spl2_16
| ~ spl2_58
| ~ spl2_70 ),
inference(forward_subsumption_resolution,[],[f7709,f6835]) ).
thf(f7716,plain,
( spl2_16
| ~ spl2_58
| ~ spl2_70 ),
inference(avatar_contradiction_clause,[],[f7715]) ).
thf(f7720,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_127 ),
inference(forward_subsumption_resolution,[],[f7648,f49]) ).
thf(f7722,plain,
( ~ spl2_16
| spl2_134
| ~ spl2_4
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f7229,f4983,f86,f4477,f167]) ).
thf(f7723,plain,
( spl2_70
| spl2_16
| ~ spl2_14
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f7720,f4282,f160,f167,f2355]) ).
thf(f7823,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_57
| ~ spl2_58 ),
inference(constrained_superposition,[],[f2260,f2257]) ).
thf(f7827,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_57
| ~ spl2_84 ),
inference(constrained_superposition,[],[f3226,f2257]) ).
thf(f7841,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_57 ),
inference(constrained_superposition,[],[f186,f2257]) ).
thf(f7866,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_57 ),
inference(duplicate_literal_removal,[],[f7841]) ).
thf(f7872,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_24
| ~ spl2_57 ),
inference(forward_subsumption_resolution,[],[f7866,f291]) ).
thf(f7874,definition,
( spl2_197
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_197])],[avatar_definition]) ).
thf(f7875,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_197 ),
inference(avatar_component_clause,[],[f7874]) ).
thf(f7879,plain,
( spl2_16
| ~ spl2_57
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f7827,f2904,f2256,f167]) ).
thf(f7887,plain,
( $false
| spl2_24
| ~ spl2_57
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f7823,f291]) ).
thf(f7888,plain,
( spl2_24
| ~ spl2_57
| ~ spl2_58 ),
inference(avatar_contradiction_clause,[],[f7887]) ).
thf(f7890,plain,
( spl2_3
| spl2_3
| spl2_24
| ~ spl2_57 ),
inference(avatar_split_clause,[],[f7872,f2256,f290,f83,f83]) ).
thf(f7899,definition,
( spl2_200
<=> ! [X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_200])],[avatar_definition]) ).
thf(f7900,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_200 ),
inference(avatar_component_clause,[],[f7899]) ).
thf(f7902,plain,
( ~ spl2_78
| spl2_79
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f7467,f2237,f2793,f2790]) ).
thf(f7904,definition,
( spl2_201
<=> ! [X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).
thf(f7905,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_201 ),
inference(avatar_component_clause,[],[f7904]) ).
thf(f7908,definition,
( spl2_202
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_202])],[avatar_definition]) ).
thf(f7909,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_202 ),
inference(avatar_component_clause,[],[f7908]) ).
thf(f7922,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_57 ),
inference(extensionality_resolution,[],[f65,f3691]) ).
thf(f7923,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_57 ),
inference(extensionality_resolution,[],[f65,f3691]) ).
thf(f7924,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_57 ),
inference(extensionality_resolution,[],[f56,f3691]) ).
thf(f7927,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_57 ),
inference(extensionality_resolution,[],[f52,f3691]) ).
thf(f7930,plain,
( spl2_114
| spl2_115
| spl2_57 ),
inference(avatar_split_clause,[],[f7923,f2256,f3744,f3741]) ).
thf(f7931,plain,
( spl2_127
| spl2_3
| spl2_197
| spl2_57 ),
inference(avatar_split_clause,[],[f7924,f2256,f7874,f83,f4282]) ).
thf(f7932,plain,
( spl2_110
| spl2_111
| spl2_57 ),
inference(avatar_split_clause,[],[f7927,f2256,f3730,f3727]) ).
thf(f7955,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_202 ),
inference(constrained_superposition,[],[f7909,f50]) ).
thf(f7958,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_202 ),
inference(trivial_inequality_removal,[],[f7955]) ).
thf(f7982,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_202 ),
inference(constrained_superposition,[],[f26,f7958]) ).
thf(f7985,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_202 ),
inference(trivial_inequality_removal,[],[f7982]) ).
thf(f8056,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_33
| ~ spl2_44 ),
inference(constrained_superposition,[],[f579,f1623]) ).
thf(f8059,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_33
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f8056]) ).
thf(f8062,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ~ spl2_33
| ~ spl2_44 ),
inference(forward_subsumption_resolution,[],[f8059,f49]) ).
thf(f8063,plain,
( ( $true != $true )
| ~ spl2_33
| ~ spl2_44
| ~ spl2_125 ),
inference(constrained_superposition,[],[f8062,f4339]) ).
thf(f8067,plain,
( $false
| ~ spl2_33
| ~ spl2_44
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f8063]) ).
thf(f8068,plain,
( ~ spl2_33
| ~ spl2_44
| ~ spl2_125 ),
inference(avatar_contradiction_clause,[],[f8067]) ).
thf(f8093,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f62,f4283]) ).
thf(f8095,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f26,f4283]) ).
thf(f8096,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f8093]) ).
thf(f8099,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f8095]) ).
thf(f8190,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f26,f4590]) ).
thf(f8192,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f8190]) ).
thf(f8200,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_115 ),
inference(constrained_superposition,[],[f58,f3745]) ).
thf(f8208,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f8200]) ).
thf(f8243,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f3960,f1589]) ).
thf(f8247,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_21
| ~ spl2_118 ),
inference(constrained_superposition,[],[f3960,f207]) ).
thf(f8250,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f8243]) ).
thf(f8252,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_21
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f8247]) ).
thf(f8256,plain,
( $false
| ~ spl2_21
| ~ spl2_84
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f8252,f3226]) ).
thf(f8257,plain,
( ~ spl2_21
| ~ spl2_84
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f8256]) ).
thf(f8261,definition,
( spl2_209
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_209])],[avatar_definition]) ).
thf(f8262,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_209 ),
inference(avatar_component_clause,[],[f8261]) ).
thf(f8264,definition,
( spl2_210
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_210])],[avatar_definition]) ).
thf(f8265,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_210 ),
inference(avatar_component_clause,[],[f8264]) ).
thf(f8266,plain,
( spl2_209
| ~ spl2_210
| spl2_117
| ~ spl2_115 ),
inference(avatar_split_clause,[],[f8208,f3744,f3956,f8264,f8261]) ).
thf(f8282,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_110
| ~ spl2_201 ),
inference(constrained_superposition,[],[f7905,f3728]) ).
thf(f8284,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_201 ),
inference(constrained_superposition,[],[f7905,f65]) ).
thf(f8288,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f8284]) ).
thf(f8289,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f8282]) ).
thf(f8294,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110
| ~ spl2_201 ),
inference(constrained_superposition,[],[f8289,f50]) ).
thf(f8296,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f8294]) ).
thf(f8298,plain,
( spl2_209
| ~ spl2_110
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f8296,f7904,f3727,f8261]) ).
thf(f8302,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_209 ),
inference(constrained_superposition,[],[f26,f8262]) ).
thf(f8303,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f8302]) ).
thf(f8309,definition,
( spl2_211
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_211])],[avatar_definition]) ).
thf(f8310,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_211 ),
inference(avatar_component_clause,[],[f8309]) ).
thf(f8312,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_16 ),
inference(constrained_superposition,[],[f762,f28]) ).
thf(f8313,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_16 ),
inference(trivial_inequality_removal,[],[f8312]) ).
thf(f8314,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_16 ),
inference(forward_subsumption_resolution,[],[f8313,f49]) ).
thf(f8325,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_211 ),
inference(constrained_superposition,[],[f8310,f64]) ).
thf(f8328,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_211 ),
inference(trivial_inequality_removal,[],[f8325]) ).
thf(f8331,plain,
( spl2_137
| spl2_211 ),
inference(avatar_split_clause,[],[f8328,f8309,f4492]) ).
thf(f8333,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f62,f4493]) ).
thf(f8335,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f8333]) ).
thf(f8337,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_200 ),
inference(constrained_superposition,[],[f7900,f1589]) ).
thf(f8345,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f8337]) ).
thf(f8349,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f190,f50]) ).
thf(f8352,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f8349]) ).
thf(f8373,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f338,f52]) ).
thf(f8385,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f8373]) ).
thf(f8394,definition,
( spl2_212
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_212])],[avatar_definition]) ).
thf(f8395,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_212 ),
inference(avatar_component_clause,[],[f8394]) ).
thf(f8470,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_112
| ~ spl2_125 ),
inference(constrained_superposition,[],[f7516,f3735]) ).
thf(f8473,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_112
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f8470]) ).
thf(f8481,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_127
| spl2_202 ),
inference(constrained_superposition,[],[f7985,f4283]) ).
thf(f8484,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_127
| spl2_202 ),
inference(trivial_inequality_removal,[],[f8481]) ).
thf(f8490,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_58
| ~ spl2_127
| spl2_202 ),
inference(constrained_superposition,[],[f8484,f2260]) ).
thf(f8494,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_58
| ~ spl2_127
| spl2_202 ),
inference(duplicate_literal_removal,[],[f8490]) ).
thf(f8495,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_58
| ~ spl2_127
| spl2_202 ),
inference(trivial_inequality_removal,[],[f8494]) ).
thf(f8499,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| spl2_16
| ~ spl2_58
| ~ spl2_127
| spl2_202 ),
inference(forward_subsumption_resolution,[],[f8495,f8314]) ).
thf(f8504,plain,
( spl2_34
| spl2_16
| ~ spl2_58
| ~ spl2_127
| spl2_202 ),
inference(avatar_split_clause,[],[f8499,f7908,f4282,f2259,f167,f582]) ).
thf(f8505,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_146 ),
inference(constrained_superposition,[],[f8099,f4971]) ).
thf(f8509,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_127
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f8505]) ).
thf(f8513,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_134
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f8509,f4478]) ).
thf(f8518,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_134
| ~ spl2_146 ),
inference(constrained_superposition,[],[f8513,f4478]) ).
thf(f8523,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_134
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f8518]) ).
thf(f8527,plain,
( spl2_41
| ~ spl2_127
| ~ spl2_134
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f8523,f4970,f4477,f4282,f995]) ).
thf(f8530,definition,
( spl2_216
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).
thf(f8531,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_216 ),
inference(avatar_component_clause,[],[f8530]) ).
thf(f8532,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_134 ),
inference(avatar_component_clause,[],[f4477]) ).
thf(f8543,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f26,f193]) ).
thf(f8547,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f8543]) ).
thf(f8573,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_58
| ~ spl2_127 ),
inference(constrained_superposition,[],[f7711,f4283]) ).
thf(f8576,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_58
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f8573]) ).
thf(f8630,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_114
| ~ spl2_209 ),
inference(constrained_superposition,[],[f8303,f3742]) ).
thf(f8632,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_209 ),
inference(constrained_superposition,[],[f8303,f51]) ).
thf(f8635,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f8632]) ).
thf(f8637,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_114
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f8630]) ).
thf(f8640,definition,
( spl2_223
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_223])],[avatar_definition]) ).
thf(f8641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_223 ),
inference(avatar_component_clause,[],[f8640]) ).
thf(f8642,plain,
( spl2_223
| spl2_109
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f8635,f8261,f3712,f8640]) ).
thf(f8644,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_223 ),
inference(constrained_superposition,[],[f8641,f3735]) ).
thf(f8650,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_112
| ~ spl2_223 ),
inference(trivial_inequality_removal,[],[f8644]) ).
thf(f8664,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_112
| ~ spl2_114
| ~ spl2_209 ),
inference(constrained_superposition,[],[f8637,f3735]) ).
thf(f8671,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_114
| ~ spl2_209 ),
inference(duplicate_literal_removal,[],[f8664]) ).
thf(f8672,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_112
| ~ spl2_114
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f8671]) ).
thf(f8674,plain,
( spl2_154
| ~ spl2_112
| ~ spl2_114
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f8672,f8261,f3741,f3734,f5146]) ).
thf(f8678,definition,
( spl2_225
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f8679,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f8678]) ).
thf(f8680,plain,
( ~ spl2_131
| spl2_225
| ~ spl2_112
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f8650,f8640,f3734,f8678,f4443]) ).
thf(f8681,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| spl2_16
| ~ spl2_137 ),
inference(forward_subsumption_resolution,[],[f8335,f8314]) ).
thf(f8683,definition,
( spl2_226
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_226])],[avatar_definition]) ).
thf(f8684,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_226 ),
inference(avatar_component_clause,[],[f8683]) ).
thf(f8686,plain,
( ~ spl2_131
| spl2_226
| ~ spl2_112
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f8473,f4238,f3734,f8683,f4443]) ).
thf(f8688,definition,
( spl2_227
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f8689,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_227 ),
inference(avatar_component_clause,[],[f8688]) ).
thf(f8691,plain,
( spl2_8
| spl2_147
| spl2_16
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f8681,f4492,f167,f4983,f126]) ).
thf(f8694,plain,
( spl2_146
| ~ spl2_202
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f8345,f7899,f7908,f4970]) ).
thf(f8695,plain,
( spl2_138
| ~ spl2_78
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f8250,f3959,f2790,f4564]) ).
thf(f8697,definition,
( spl2_228
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_228])],[avatar_definition]) ).
thf(f8698,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_228 ),
inference(avatar_component_clause,[],[f8697]) ).
thf(f8703,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_121
| ~ spl2_125 ),
inference(constrained_superposition,[],[f7516,f3988]) ).
thf(f8704,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f62,f3988]) ).
thf(f8706,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_121
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f8703]) ).
thf(f8709,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f8704]) ).
thf(f8710,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl2_16
| ~ spl2_121
| ~ spl2_125 ),
inference(forward_subsumption_resolution,[],[f8706,f8314]) ).
thf(f8712,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| spl2_16
| ~ spl2_121 ),
inference(forward_subsumption_resolution,[],[f8709,f8314]) ).
thf(f8713,plain,
( spl2_8
| spl2_16
| ~ spl2_121
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f8710,f4238,f3987,f167,f126]) ).
thf(f8715,plain,
( spl2_8
| spl2_109
| spl2_16
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f8712,f3987,f167,f3712,f126]) ).
thf(f8748,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f26,f4565]) ).
thf(f8750,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f8748]) ).
thf(f8763,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f26,f4971]) ).
thf(f8766,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f8763]) ).
thf(f8789,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) ) )
| ~ spl2_114 ),
inference(constrained_superposition,[],[f26,f3742]) ).
thf(f8792,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f8789]) ).
thf(f8805,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_112
| ~ spl2_225 ),
inference(constrained_superposition,[],[f8679,f3735]) ).
thf(f8811,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_112
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f8805]) ).
thf(f8813,plain,
( $false
| ~ spl2_112
| ~ spl2_209
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f8811,f8262]) ).
thf(f8814,plain,
( ~ spl2_112
| ~ spl2_209
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f8813]) ).
thf(f8854,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_20
| ~ spl2_58 ),
inference(constrained_superposition,[],[f8547,f2260]) ).
thf(f8858,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_20
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f8854]) ).
thf(f8863,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_20
| ~ spl2_58
| ~ spl2_127 ),
inference(constrained_superposition,[],[f8858,f4283]) ).
thf(f8870,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_58
| ~ spl2_127 ),
inference(duplicate_literal_removal,[],[f8863]) ).
thf(f8871,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_58
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f8870]) ).
thf(f8872,plain,
( spl2_10
| ~ spl2_20
| ~ spl2_58
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f8871,f4282,f2259,f192,f140]) ).
thf(f8880,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_112
| ~ spl2_138 ),
inference(constrained_superposition,[],[f8750,f3735]) ).
thf(f8883,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f8880]) ).
thf(f8886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_112
| ~ spl2_138
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f8883,f4971]) ).
thf(f8888,definition,
( spl2_229
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_229])],[avatar_definition]) ).
thf(f8889,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_229 ),
inference(avatar_component_clause,[],[f8888]) ).
thf(f8900,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_138
| ~ spl2_146 ),
inference(constrained_superposition,[],[f8886,f4971]) ).
thf(f8905,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_112
| ~ spl2_138
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f8900]) ).
thf(f8907,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_112
| ~ spl2_138
| ~ spl2_143
| ~ spl2_146 ),
inference(constrained_superposition,[],[f8905,f4590]) ).
thf(f8908,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112
| ~ spl2_127
| ~ spl2_138
| ~ spl2_146 ),
inference(constrained_superposition,[],[f8905,f4283]) ).
thf(f8912,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112
| ~ spl2_127
| ~ spl2_138
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f8908]) ).
thf(f8914,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112
| ~ spl2_138
| ~ spl2_143
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f8907]) ).
thf(f8915,plain,
( $false
| ~ spl2_58
| ~ spl2_112
| ~ spl2_127
| ~ spl2_138
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f8912,f2260]) ).
thf(f8916,plain,
( ~ spl2_58
| ~ spl2_112
| ~ spl2_127
| ~ spl2_138
| ~ spl2_146 ),
inference(avatar_contradiction_clause,[],[f8915]) ).
thf(f8917,plain,
( $false
| ~ spl2_112
| ~ spl2_138
| ~ spl2_143
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f8914,f4971]) ).
thf(f8918,plain,
( ~ spl2_112
| ~ spl2_138
| ~ spl2_143
| ~ spl2_146 ),
inference(avatar_contradiction_clause,[],[f8917]) ).
thf(f8986,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_114
| ~ spl2_146 ),
inference(constrained_superposition,[],[f8766,f3742]) ).
thf(f8989,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_114
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f8986]) ).
thf(f8992,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_138 ),
inference(avatar_component_clause,[],[f4564]) ).
thf(f8994,definition,
( spl2_232
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f8995,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f8994]) ).
thf(f8996,plain,
( ~ spl2_138
| spl2_232
| ~ spl2_114
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f8989,f4970,f3741,f8994,f4564]) ).
thf(f8997,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_83 ),
inference(avatar_component_clause,[],[f2868]) ).
thf(f9013,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_112
| ~ spl2_143 ),
inference(constrained_superposition,[],[f7270,f4590]) ).
thf(f9016,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f9013]) ).
thf(f9023,definition,
( spl2_237
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_237])],[avatar_definition]) ).
thf(f9024,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_237 ),
inference(avatar_component_clause,[],[f9023]) ).
thf(f9025,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_111 ),
inference(avatar_component_clause,[],[f3730]) ).
thf(f9026,plain,
( spl2_237
| ~ spl2_111
| ~ spl2_112
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f9016,f4589,f3734,f3730,f9023]) ).
thf(f9028,definition,
( spl2_238
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_238])],[avatar_definition]) ).
thf(f9029,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_238 ),
inference(avatar_component_clause,[],[f9028]) ).
thf(f9037,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_143 ),
inference(constrained_superposition,[],[f8192,f3735]) ).
thf(f9038,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_143
| ~ spl2_146 ),
inference(constrained_superposition,[],[f8192,f4971]) ).
thf(f9042,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_112
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f9037]) ).
thf(f9044,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_143
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f9038]) ).
thf(f9067,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_112
| ~ spl2_114 ),
inference(constrained_superposition,[],[f8792,f3735]) ).
thf(f9072,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f9067]) ).
thf(f9086,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_114 ),
inference(constrained_superposition,[],[f9072,f3742]) ).
thf(f9090,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_112
| ~ spl2_114 ),
inference(duplicate_literal_removal,[],[f9086]) ).
thf(f9091,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f9090]) ).
thf(f9272,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_134
| ~ spl2_212 ),
inference(constrained_superposition,[],[f8532,f8395]) ).
thf(f9293,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_134
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f9272]) ).
thf(f9298,plain,
( $false
| spl2_131
| spl2_134
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f9293,f4444]) ).
thf(f9299,plain,
( spl2_131
| spl2_134
| ~ spl2_212 ),
inference(avatar_contradiction_clause,[],[f9298]) ).
thf(f9309,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_19
| ~ spl2_112
| ~ spl2_143 ),
inference(constrained_superposition,[],[f9042,f8352]) ).
thf(f9311,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_19
| ~ spl2_112 ),
inference(constrained_superposition,[],[f7270,f8352]) ).
thf(f9312,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_19
| ~ spl2_146 ),
inference(constrained_superposition,[],[f8766,f8352]) ).
thf(f9323,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_19
| ~ spl2_112
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f9309]) ).
thf(f9329,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_19
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f9311]) ).
thf(f9332,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_19
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f9312]) ).
thf(f9333,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_121 ),
inference(avatar_component_clause,[],[f3987]) ).
thf(f9335,definition,
( spl2_248
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_248])],[avatar_definition]) ).
thf(f9336,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_248 ),
inference(avatar_component_clause,[],[f9335]) ).
thf(f9340,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_19
| ~ spl2_58
| ~ spl2_112
| ~ spl2_143 ),
inference(forward_subsumption_resolution,[],[f9323,f2260]) ).
thf(f9343,definition,
( spl2_249
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_249])],[avatar_definition]) ).
thf(f9344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_249 ),
inference(avatar_component_clause,[],[f9343]) ).
thf(f9345,plain,
( spl2_249
| ~ spl2_121
| spl2_248
| ~ spl2_19
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f9329,f3734,f189,f9335,f3987,f9343]) ).
thf(f9346,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_19
| ~ spl2_58
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f9332,f2260]) ).
thf(f9351,plain,
( spl2_175
| spl2_248
| ~ spl2_19
| ~ spl2_58
| ~ spl2_112
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f9340,f4589,f3734,f2259,f189,f9335,f5793]) ).
thf(f9354,definition,
( spl2_251
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_251])],[avatar_definition]) ).
thf(f9355,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_251 ),
inference(avatar_component_clause,[],[f9354]) ).
thf(f9356,plain,
( spl2_248
| spl2_251
| ~ spl2_19
| ~ spl2_58
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f9346,f4970,f2259,f189,f9354,f9335]) ).
thf(f9362,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_112
| ~ spl2_114
| ~ spl2_248 ),
inference(constrained_superposition,[],[f9072,f9336]) ).
thf(f9370,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_114
| ~ spl2_248 ),
inference(trivial_inequality_removal,[],[f9362]) ).
thf(f9378,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_114
| ~ spl2_209
| ~ spl2_248 ),
inference(forward_subsumption_resolution,[],[f9370,f8262]) ).
thf(f9381,plain,
( spl2_185
| ~ spl2_112
| ~ spl2_114
| ~ spl2_209
| ~ spl2_248 ),
inference(avatar_split_clause,[],[f9378,f9335,f8261,f3741,f3734,f6727]) ).
thf(f9795,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) )
| ~ spl2_26 ),
inference(constrained_superposition,[],[f342,f52]) ).
thf(f9796,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_26 ),
inference(constrained_superposition,[],[f342,f63]) ).
thf(f9798,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_26 ),
inference(constrained_superposition,[],[f342,f1589]) ).
thf(f9802,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9796]) ).
thf(f9806,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9798]) ).
thf(f9809,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f9795]) ).
thf(f9812,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X1 ) ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) )
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f9809,f49]) ).
thf(f9815,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl2_201 ),
inference(constrained_superposition,[],[f8288,f50]) ).
thf(f9818,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f9815]) ).
thf(f9828,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_201 ),
inference(constrained_superposition,[],[f7270,f9818]) ).
thf(f9837,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f9828]) ).
thf(f9867,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_74
| spl2_111 ),
inference(constrained_superposition,[],[f9025,f2628]) ).
thf(f9894,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_74
| spl2_111 ),
inference(trivial_inequality_removal,[],[f9867]) ).
thf(f9897,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_74
| spl2_111
| spl2_121 ),
inference(forward_subsumption_resolution,[],[f9894,f9333]) ).
thf(f9898,plain,
( spl2_148
| spl2_116
| ~ spl2_74
| spl2_111
| spl2_121 ),
inference(avatar_split_clause,[],[f9897,f3987,f3730,f2627,f3917,f5028]) ).
thf(f9904,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_75
| spl2_138 ),
inference(constrained_superposition,[],[f8992,f2632]) ).
thf(f9916,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_75
| spl2_138 ),
inference(trivial_inequality_removal,[],[f9904]) ).
thf(f9920,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_75
| spl2_129
| spl2_138 ),
inference(forward_subsumption_resolution,[],[f9916,f6741]) ).
thf(f9921,plain,
( spl2_116
| spl2_148
| ~ spl2_75
| spl2_129
| spl2_138 ),
inference(avatar_split_clause,[],[f9920,f4564,f4335,f2631,f5028,f3917]) ).
thf(f10041,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_119 ),
inference(constrained_superposition,[],[f3964,f50]) ).
thf(f10046,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_119 ),
inference(trivial_inequality_removal,[],[f10041]) ).
thf(f10167,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) ) )
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f9806,f49]) ).
thf(f10175,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_229 ),
inference(avatar_component_clause,[],[f8888]) ).
thf(f10180,plain,
( spl2_229
| spl2_228
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f10167,f341,f8697,f8888]) ).
thf(f10283,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X3 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f26,f8698]) ).
thf(f10289,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X3 ) ) )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f10283]) ).
thf(f10512,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_84
| ~ spl2_147 ),
inference(constrained_superposition,[],[f7039,f4984]) ).
thf(f10516,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_84
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f10512]) ).
thf(f10528,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_149 ),
inference(constrained_superposition,[],[f5054,f50]) ).
thf(f10535,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f10528]) ).
thf(f10553,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_136 ),
inference(constrained_superposition,[],[f4485,f3226]) ).
thf(f10556,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f10553]) ).
thf(f10655,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_143
| ~ spl2_251 ),
inference(constrained_superposition,[],[f9355,f4590]) ).
thf(f10657,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_251 ),
inference(constrained_superposition,[],[f9355,f4283]) ).
thf(f10664,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_251 ),
inference(duplicate_literal_removal,[],[f10657]) ).
thf(f10665,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_127
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f10664]) ).
thf(f10673,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_143
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f10655]) ).
thf(f10675,plain,
( spl2_34
| ~ spl2_127
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f10665,f9354,f4282,f582]) ).
thf(f10677,plain,
( spl2_153
| ~ spl2_143
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f10673,f9354,f4589,f5141]) ).
thf(f10726,plain,
( ( $true != $true )
| ~ spl2_79
| spl2_138 ),
inference(constrained_superposition,[],[f8992,f2794]) ).
thf(f10744,plain,
( $false
| ~ spl2_79
| spl2_138 ),
inference(trivial_inequality_removal,[],[f10726]) ).
thf(f10745,plain,
( ~ spl2_79
| spl2_138 ),
inference(avatar_contradiction_clause,[],[f10744]) ).
thf(f10950,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_116 ),
inference(avatar_component_clause,[],[f3917]) ).
thf(f10957,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_148 ),
inference(avatar_component_clause,[],[f5028]) ).
thf(f10975,definition,
( spl2_287
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).
thf(f10976,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_287 ),
inference(avatar_component_clause,[],[f10975]) ).
thf(f10978,definition,
( spl2_288
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_288])],[avatar_definition]) ).
thf(f10979,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_288 ),
inference(avatar_component_clause,[],[f10978]) ).
thf(f10982,definition,
( spl2_289
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_289])],[avatar_definition]) ).
thf(f10983,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_289 ),
inference(avatar_component_clause,[],[f10982]) ).
thf(f10985,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(f10986,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_290 ),
inference(avatar_component_clause,[],[f10985]) ).
thf(f11002,definition,
( spl2_291
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_291])],[avatar_definition]) ).
thf(f11003,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_291 ),
inference(avatar_component_clause,[],[f11002]) ).
thf(f11005,definition,
( spl2_292
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).
thf(f11006,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_292 ),
inference(avatar_component_clause,[],[f11005]) ).
thf(f11009,definition,
( spl2_293
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_293])],[avatar_definition]) ).
thf(f11010,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_293 ),
inference(avatar_component_clause,[],[f11009]) ).
thf(f11012,definition,
( spl2_294
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_294])],[avatar_definition]) ).
thf(f11013,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_294 ),
inference(avatar_component_clause,[],[f11012]) ).
thf(f11018,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_119
| ~ spl2_288 ),
inference(constrained_superposition,[],[f3964,f10979]) ).
thf(f11020,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_56
| ~ spl2_288 ),
inference(constrained_superposition,[],[f2238,f10979]) ).
thf(f11036,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f11020]) ).
thf(f11040,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_119
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f11018]) ).
thf(f11048,definition,
( spl2_296
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_296])],[avatar_definition]) ).
thf(f11049,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ~ spl2_296 ),
inference(avatar_component_clause,[],[f11048]) ).
thf(f11052,definition,
( spl2_297
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_297])],[avatar_definition]) ).
thf(f11053,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_297 ),
inference(avatar_component_clause,[],[f11052]) ).
thf(f11057,definition,
( spl2_298
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_298])],[avatar_definition]) ).
thf(f11058,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_298 ),
inference(avatar_component_clause,[],[f11057]) ).
thf(f11060,definition,
( spl2_299
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_299])],[avatar_definition]) ).
thf(f11061,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_299 ),
inference(avatar_component_clause,[],[f11060]) ).
thf(f11063,definition,
( spl2_300
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_300])],[avatar_definition]) ).
thf(f11064,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_300 ),
inference(avatar_component_clause,[],[f11063]) ).
thf(f11069,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_110
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f11036,f3728]) ).
thf(f11071,definition,
( spl2_302
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).
thf(f11072,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_302 ),
inference(avatar_component_clause,[],[f11071]) ).
thf(f11073,plain,
( spl2_298
| spl2_302
| ~ spl2_119
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f11040,f10978,f3963,f11071,f11057]) ).
thf(f11076,definition,
( spl2_303
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_303])],[avatar_definition]) ).
thf(f11077,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_303 ),
inference(avatar_component_clause,[],[f11076]) ).
thf(f11080,plain,
( spl2_302
| ~ spl2_56
| ~ spl2_110
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f11069,f10978,f3727,f2237,f11071]) ).
thf(f11082,definition,
( spl2_304
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_304])],[avatar_definition]) ).
thf(f11083,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_304 ),
inference(avatar_component_clause,[],[f11082]) ).
thf(f11085,definition,
( spl2_305
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_305])],[avatar_definition]) ).
thf(f11086,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_305 ),
inference(avatar_component_clause,[],[f11085]) ).
thf(f11094,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_154
| ~ spl2_287 ),
inference(constrained_superposition,[],[f5147,f10976]) ).
thf(f11095,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_223
| ~ spl2_287 ),
inference(constrained_superposition,[],[f8641,f10976]) ).
thf(f11103,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_154
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f11094]) ).
thf(f11107,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_223
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f11095]) ).
thf(f11111,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_304 ),
inference(avatar_component_clause,[],[f11082]) ).
thf(f11113,definition,
( spl2_306
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_306])],[avatar_definition]) ).
thf(f11114,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f11113]) ).
thf(f11117,definition,
( spl2_307
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_307])],[avatar_definition]) ).
thf(f11118,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_307 ),
inference(avatar_component_clause,[],[f11117]) ).
thf(f11120,definition,
( spl2_308
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).
thf(f11121,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f11120]) ).
thf(f11123,plain,
( ~ spl2_304
| ~ spl2_154
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f11103,f10975,f5146,f11082]) ).
thf(f11125,definition,
( spl2_309
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_309])],[avatar_definition]) ).
thf(f11126,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_309 ),
inference(avatar_component_clause,[],[f11125]) ).
thf(f11133,definition,
( spl2_311
<=> ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_311])],[avatar_definition]) ).
thf(f11134,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_311 ),
inference(avatar_component_clause,[],[f11133]) ).
thf(f11135,plain,
( ~ spl2_304
| spl2_311
| ~ spl2_223
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f11107,f10975,f8640,f11133,f11082]) ).
thf(f11147,definition,
( spl2_313
<=> ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_313])],[avatar_definition]) ).
thf(f11148,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ~ spl2_313 ),
inference(avatar_component_clause,[],[f11147]) ).
thf(f11151,plain,
( spl2_313
| ~ spl2_238
| ~ spl2_112
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f9091,f3741,f3734,f9028,f11147]) ).
thf(f11168,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_300 ),
inference(constrained_superposition,[],[f186,f11064]) ).
thf(f11225,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_300 ),
inference(duplicate_literal_removal,[],[f11168]) ).
thf(f11241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| spl2_24
| ~ spl2_300 ),
inference(forward_subsumption_resolution,[],[f11225,f291]) ).
thf(f11256,plain,
( spl2_3
| spl2_3
| spl2_24
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f11241,f11063,f290,f83,f83]) ).
thf(f11263,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_287
| ~ spl2_298 ),
inference(constrained_superposition,[],[f10976,f11058]) ).
thf(f11264,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_298 ),
inference(constrained_superposition,[],[f1589,f11058]) ).
thf(f11336,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_78
| ~ spl2_298 ),
inference(forward_subsumption_resolution,[],[f11264,f2791]) ).
thf(f11340,plain,
( $false
| spl2_111
| ~ spl2_287
| ~ spl2_298 ),
inference(forward_subsumption_resolution,[],[f11263,f9025]) ).
thf(f11341,plain,
( spl2_111
| ~ spl2_287
| ~ spl2_298 ),
inference(avatar_contradiction_clause,[],[f11340]) ).
thf(f11353,plain,
( $false
| spl2_78
| spl2_83
| ~ spl2_298 ),
inference(forward_subsumption_resolution,[],[f11336,f8997]) ).
thf(f11354,plain,
( spl2_78
| spl2_83
| ~ spl2_298 ),
inference(avatar_contradiction_clause,[],[f11353]) ).
thf(f11373,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_131
| ~ spl2_307 ),
inference(constrained_superposition,[],[f4444,f11118]) ).
thf(f11375,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_143
| ~ spl2_307 ),
inference(constrained_superposition,[],[f4590,f11118]) ).
thf(f11376,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_146
| ~ spl2_307 ),
inference(constrained_superposition,[],[f4971,f11118]) ).
thf(f11377,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_147
| ~ spl2_307 ),
inference(constrained_superposition,[],[f4984,f11118]) ).
thf(f11456,plain,
( $false
| ~ spl2_125
| spl2_131
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f11373,f4339]) ).
thf(f11457,plain,
( ~ spl2_125
| spl2_131
| ~ spl2_307 ),
inference(avatar_contradiction_clause,[],[f11456]) ).
thf(f11458,plain,
( $false
| spl2_111
| ~ spl2_143
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f11375,f9025]) ).
thf(f11459,plain,
( spl2_111
| ~ spl2_143
| ~ spl2_307 ),
inference(avatar_contradiction_clause,[],[f11458]) ).
thf(f11460,plain,
( spl2_109
| ~ spl2_147
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f11377,f11117,f4983,f3712]) ).
thf(f11463,plain,
( $false
| spl2_138
| ~ spl2_146
| ~ spl2_307 ),
inference(forward_subsumption_resolution,[],[f11376,f8992]) ).
thf(f11464,plain,
( spl2_138
| ~ spl2_146
| ~ spl2_307 ),
inference(avatar_contradiction_clause,[],[f11463]) ).
thf(f11469,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_136
| ~ spl2_299 ),
inference(constrained_superposition,[],[f4485,f11061]) ).
thf(f11477,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_84
| ~ spl2_299 ),
inference(constrained_superposition,[],[f7039,f11061]) ).
thf(f11483,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_84
| ~ spl2_299 ),
inference(trivial_inequality_removal,[],[f11477]) ).
thf(f11491,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_136
| ~ spl2_299 ),
inference(trivial_inequality_removal,[],[f11469]) ).
thf(f11496,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_84
| ~ spl2_299 ),
inference(forward_subsumption_resolution,[],[f11483,f49]) ).
thf(f11498,definition,
( spl2_315
<=> ! [X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_315])],[avatar_definition]) ).
thf(f11499,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_315 ),
inference(avatar_component_clause,[],[f11498]) ).
thf(f11503,definition,
( spl2_316
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_316])],[avatar_definition]) ).
thf(f11504,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_316 ),
inference(avatar_component_clause,[],[f11503]) ).
thf(f11505,plain,
( spl2_294
| spl2_316
| ~ spl2_136
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f11491,f11060,f4484,f11503,f11012]) ).
thf(f11511,plain,
( spl2_298
| spl2_304
| spl2_305
| ~ spl2_84
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f11496,f11060,f2904,f11085,f11082,f11057]) ).
thf(f11516,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_296 ),
inference(constrained_superposition,[],[f11049,f1589]) ).
thf(f11524,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f11516]) ).
thf(f11531,plain,
( spl2_302
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f11524,f11048,f11071]) ).
thf(f11538,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_304 ),
inference(constrained_superposition,[],[f11111,f51]) ).
thf(f11541,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_304 ),
inference(trivial_inequality_removal,[],[f11538]) ).
thf(f11632,definition,
( spl2_320
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_320])],[avatar_definition]) ).
thf(f11633,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_320 ),
inference(avatar_component_clause,[],[f11632]) ).
thf(f11640,definition,
( spl2_322
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_322])],[avatar_definition]) ).
thf(f11641,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_322 ),
inference(avatar_component_clause,[],[f11640]) ).
thf(f11668,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_305 ),
inference(constrained_superposition,[],[f62,f11086]) ).
thf(f11676,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f11668]) ).
thf(f11716,definition,
( spl2_325
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_325])],[avatar_definition]) ).
thf(f11717,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_325 ),
inference(avatar_component_clause,[],[f11716]) ).
thf(f11735,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_315 ),
inference(constrained_superposition,[],[f11499,f1589]) ).
thf(f11747,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f11735]) ).
thf(f11757,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f186,f11006]) ).
thf(f11766,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f11757]) ).
thf(f11779,plain,
( spl2_135
| ~ spl2_325
| spl2_137
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f11766,f11005,f4492,f11716,f4481]) ).
thf(f11784,definition,
( spl2_326
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_326])],[avatar_definition]) ).
thf(f11785,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_326 ),
inference(avatar_component_clause,[],[f11784]) ).
thf(f11826,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_293
| ~ spl2_315 ),
inference(constrained_superposition,[],[f11499,f11010]) ).
thf(f11845,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_293
| ~ spl2_315 ),
inference(trivial_inequality_removal,[],[f11826]) ).
thf(f11859,plain,
( ~ spl2_210
| ~ spl2_293
| ~ spl2_315 ),
inference(avatar_split_clause,[],[f11845,f11498,f11009,f8264]) ).
thf(f11870,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_114
| ~ spl2_294 ),
inference(constrained_superposition,[],[f9072,f11013]) ).
thf(f11872,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_112
| ~ spl2_143
| ~ spl2_294 ),
inference(constrained_superposition,[],[f9042,f11013]) ).
thf(f11873,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_143
| ~ spl2_146
| ~ spl2_294 ),
inference(constrained_superposition,[],[f9044,f11013]) ).
thf(f11875,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_146
| ~ spl2_294 ),
inference(constrained_superposition,[],[f8766,f11013]) ).
thf(f11881,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_146
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f11875]) ).
thf(f11883,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_114
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f11870]) ).
thf(f11886,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_143
| ~ spl2_146
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f11873]) ).
thf(f11888,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_143
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f11872]) ).
thf(f11892,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_114
| ~ spl2_287
| ~ spl2_294 ),
inference(forward_subsumption_resolution,[],[f11883,f10976]) ).
thf(f11895,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_143
| ~ spl2_146
| ~ spl2_294
| ~ spl2_302 ),
inference(forward_subsumption_resolution,[],[f11886,f11072]) ).
thf(f11897,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_112
| ~ spl2_143
| ~ spl2_294
| ~ spl2_302 ),
inference(forward_subsumption_resolution,[],[f11888,f11072]) ).
thf(f11899,plain,
( spl2_309
| ~ spl2_112
| ~ spl2_114
| ~ spl2_287
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f11892,f11012,f10975,f3741,f3734,f11125]) ).
thf(f11902,plain,
( spl2_308
| ~ spl2_143
| ~ spl2_146
| ~ spl2_294
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f11895,f11071,f11012,f4970,f4589,f11120]) ).
thf(f11904,definition,
( spl2_330
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_330])],[avatar_definition]) ).
thf(f11905,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_330 ),
inference(avatar_component_clause,[],[f11904]) ).
thf(f11907,plain,
( spl2_309
| ~ spl2_112
| ~ spl2_143
| ~ spl2_294
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f11897,f11071,f11012,f4589,f3734,f11125]) ).
thf(f11913,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_294
| ~ spl2_308 ),
inference(constrained_superposition,[],[f11121,f11013]) ).
thf(f11932,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_294
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f11913]) ).
thf(f11935,plain,
( $false
| ~ spl2_143
| ~ spl2_294
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f11932,f4590]) ).
thf(f11936,plain,
( ~ spl2_143
| ~ spl2_294
| ~ spl2_308 ),
inference(avatar_contradiction_clause,[],[f11935]) ).
thf(f11939,definition,
( spl2_331
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_331])],[avatar_definition]) ).
thf(f11940,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_331 ),
inference(avatar_component_clause,[],[f11939]) ).
thf(f11942,definition,
( spl2_332
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_332])],[avatar_definition]) ).
thf(f11943,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_332 ),
inference(avatar_component_clause,[],[f11942]) ).
thf(f11947,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_84
| spl2_131
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f10516,f4444]) ).
thf(f11948,plain,
( spl2_142
| spl2_143
| ~ spl2_84
| ~ spl2_136 ),
inference(avatar_split_clause,[],[f10556,f4484,f2904,f4589,f4586]) ).
thf(f11950,definition,
( spl2_333
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_333])],[avatar_definition]) ).
thf(f11951,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_333 ),
inference(avatar_component_clause,[],[f11950]) ).
thf(f11953,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_139 ),
inference(avatar_component_clause,[],[f4567]) ).
thf(f11963,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_84
| spl2_131
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f11947,f49]) ).
thf(f11966,plain,
( spl2_143
| spl2_142
| ~ spl2_84
| spl2_131
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f11963,f4983,f4443,f2904,f4586,f4589]) ).
thf(f11976,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_134
| ~ spl2_142 ),
inference(constrained_superposition,[],[f8532,f4587]) ).
thf(f11981,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_142
| ~ spl2_287 ),
inference(constrained_superposition,[],[f10976,f4587]) ).
thf(f11985,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_142
| ~ spl2_299 ),
inference(constrained_superposition,[],[f11061,f4587]) ).
thf(f12068,plain,
( $false
| ~ spl2_142
| spl2_238
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f11981,f9029]) ).
thf(f12069,plain,
( ~ spl2_142
| spl2_238
| ~ spl2_287 ),
inference(avatar_contradiction_clause,[],[f12068]) ).
thf(f12081,plain,
( spl2_109
| ~ spl2_142
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f11985,f11060,f4586,f3712]) ).
thf(f12082,plain,
( $false
| ~ spl2_127
| spl2_134
| ~ spl2_142 ),
inference(forward_subsumption_resolution,[],[f11976,f4283]) ).
thf(f12083,plain,
( ~ spl2_127
| spl2_134
| ~ spl2_142 ),
inference(avatar_contradiction_clause,[],[f12082]) ).
thf(f12117,definition,
( spl2_336
<=> ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_336])],[avatar_definition]) ).
thf(f12118,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_336 ),
inference(avatar_component_clause,[],[f12117]) ).
thf(f12126,plain,
( spl2_299
| spl2_304 ),
inference(avatar_split_clause,[],[f11541,f11082,f11060]) ).
thf(f12129,plain,
( spl2_302
| ~ spl2_202
| ~ spl2_315 ),
inference(avatar_split_clause,[],[f11747,f11498,f7908,f11071]) ).
thf(f12137,definition,
( spl2_338
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_338])],[avatar_definition]) ).
thf(f12138,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_338 ),
inference(avatar_component_clause,[],[f12137]) ).
thf(f12140,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_302 ),
inference(avatar_component_clause,[],[f11071]) ).
thf(f12148,plain,
( ~ spl2_302
| spl2_330
| ~ spl2_146
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f11881,f11012,f4970,f11904,f11071]) ).
thf(f12149,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_112
| ~ spl2_201 ),
inference(forward_subsumption_resolution,[],[f9837,f49]) ).
thf(f12159,plain,
( spl2_248
| spl2_237
| ~ spl2_111
| ~ spl2_112
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f12149,f7904,f3734,f3730,f9023,f9335]) ).
thf(f12161,plain,
( ( $true != $true )
| ~ spl2_289
| ~ spl2_313 ),
inference(constrained_superposition,[],[f11148,f10983]) ).
thf(f12174,plain,
( $false
| ~ spl2_289
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f12161]) ).
thf(f12175,plain,
( ~ spl2_289
| ~ spl2_313 ),
inference(avatar_contradiction_clause,[],[f12174]) ).
thf(f12185,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| spl2_338 ),
inference(constrained_superposition,[],[f12138,f50]) ).
thf(f12188,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_338 ),
inference(trivial_inequality_removal,[],[f12185]) ).
thf(f12191,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_210 ),
inference(constrained_superposition,[],[f8265,f50]) ).
thf(f12194,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_210 ),
inference(trivial_inequality_removal,[],[f12191]) ).
thf(f12196,plain,
( spl2_248
| spl2_210 ),
inference(avatar_split_clause,[],[f12194,f8264,f9335]) ).
thf(f12278,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f9802,f49]) ).
thf(f12287,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_331 ),
inference(avatar_component_clause,[],[f11939]) ).
thf(f12291,plain,
( spl2_212
| spl2_20
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f12278,f341,f192,f8394]) ).
thf(f12320,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_137
| ~ spl2_146 ),
inference(constrained_superposition,[],[f8766,f4493]) ).
thf(f12329,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_137
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f12320]) ).
thf(f12332,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_58
| ~ spl2_137
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f12329,f2260]) ).
thf(f12334,plain,
( spl2_251
| ~ spl2_58
| ~ spl2_137
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f12332,f4970,f4492,f2259,f9354]) ).
thf(f12337,plain,
( ( $true != $true )
| ~ spl2_34
| ~ spl2_58 ),
inference(constrained_superposition,[],[f583,f2260]) ).
thf(f12342,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_34 ),
inference(constrained_superposition,[],[f583,f51]) ).
thf(f12345,plain,
( $false
| ~ spl2_34
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f12337]) ).
thf(f12346,plain,
( ~ spl2_34
| ~ spl2_58 ),
inference(avatar_contradiction_clause,[],[f12345]) ).
thf(f12350,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f12342]) ).
thf(f12358,plain,
( $false
| spl2_16
| ~ spl2_34 ),
inference(forward_subsumption_resolution,[],[f12350,f762]) ).
thf(f12359,plain,
( spl2_16
| ~ spl2_34 ),
inference(avatar_contradiction_clause,[],[f12358]) ).
thf(f12363,plain,
( spl2_113
| spl2_112
| spl2_57 ),
inference(avatar_split_clause,[],[f7922,f2256,f3734,f3737]) ).
thf(f12373,definition,
( spl2_344
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_344])],[avatar_definition]) ).
thf(f12374,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_344 ),
inference(avatar_component_clause,[],[f12373]) ).
thf(f12400,plain,
( spl2_209
| spl2_338 ),
inference(avatar_split_clause,[],[f12188,f12137,f8261]) ).
thf(f12431,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_28
| ~ spl2_248 ),
inference(constrained_superposition,[],[f350,f9336]) ).
thf(f12437,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_28
| ~ spl2_248 ),
inference(trivial_inequality_removal,[],[f12431]) ).
thf(f12442,plain,
( ~ spl2_131
| ~ spl2_28
| ~ spl2_248 ),
inference(avatar_split_clause,[],[f12437,f9335,f349,f4443]) ).
thf(f12470,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_58
| ~ spl2_127
| ~ spl2_138 ),
inference(constrained_superposition,[],[f8576,f4565]) ).
thf(f12473,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f26,f4565]) ).
thf(f12476,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_58
| ~ spl2_127
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f12470]) ).
thf(f12477,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f12473]) ).
thf(f12479,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_58
| ~ spl2_127
| ~ spl2_129
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f12476,f4336]) ).
thf(f12480,plain,
( spl2_344
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f12477,f4564,f12373]) ).
thf(f12481,plain,
( spl2_175
| ~ spl2_58
| ~ spl2_127
| ~ spl2_129
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f12479,f4564,f4335,f4282,f2259,f5793]) ).
thf(f12553,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_64
| ~ spl2_111 ),
inference(constrained_superposition,[],[f2322,f3731]) ).
thf(f12565,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_64
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f12553]) ).
thf(f12572,plain,
( $false
| ~ spl2_64
| ~ spl2_111
| ~ spl2_209 ),
inference(forward_subsumption_resolution,[],[f12565,f8262]) ).
thf(f12573,plain,
( ~ spl2_64
| ~ spl2_111
| ~ spl2_209 ),
inference(avatar_contradiction_clause,[],[f12572]) ).
thf(f12644,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_125
| ~ spl2_148 ),
inference(constrained_superposition,[],[f4339,f5029]) ).
thf(f12645,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_144
| ~ spl2_148 ),
inference(constrained_superposition,[],[f4725,f5029]) ).
thf(f12648,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_148
| ~ spl2_154 ),
inference(constrained_superposition,[],[f5147,f5029]) ).
thf(f12653,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_138
| ~ spl2_148 ),
inference(constrained_superposition,[],[f8992,f5029]) ).
thf(f12654,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_121
| ~ spl2_148 ),
inference(constrained_superposition,[],[f9333,f5029]) ).
thf(f12659,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_56
| ~ spl2_148 ),
inference(constrained_superposition,[],[f2238,f5029]) ).
thf(f12712,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_56
| ~ spl2_148 ),
inference(duplicate_literal_removal,[],[f12659]) ).
thf(f12719,plain,
( $false
| spl2_59
| ~ spl2_125
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f12644,f2304]) ).
thf(f12720,plain,
( spl2_59
| ~ spl2_125
| ~ spl2_148 ),
inference(avatar_contradiction_clause,[],[f12719]) ).
thf(f12728,plain,
( spl2_70
| ~ spl2_148
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f12648,f5146,f5028,f2355]) ).
thf(f12731,plain,
( $false
| ~ spl2_58
| spl2_121
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f12654,f2260]) ).
thf(f12732,plain,
( ~ spl2_58
| spl2_121
| ~ spl2_148 ),
inference(avatar_contradiction_clause,[],[f12731]) ).
thf(f12737,plain,
( $false
| spl2_78
| ~ spl2_144
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f12645,f2791]) ).
thf(f12738,plain,
( spl2_78
| ~ spl2_144
| ~ spl2_148 ),
inference(avatar_contradiction_clause,[],[f12737]) ).
thf(f12740,plain,
( ~ spl2_83
| spl2_138
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f12653,f5028,f4564,f2868]) ).
thf(f12742,plain,
( spl2_83
| spl2_55
| ~ spl2_56
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f12712,f5028,f2237,f2234,f2868]) ).
thf(f12755,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_119
| spl2_229 ),
inference(forward_subsumption_resolution,[],[f10046,f8889]) ).
thf(f12756,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_149
| spl2_229 ),
inference(forward_subsumption_resolution,[],[f10535,f8889]) ).
thf(f12758,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_119
| spl2_229 ),
inference(forward_subsumption_resolution,[],[f12755,f49]) ).
thf(f12759,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_149
| spl2_229 ),
inference(forward_subsumption_resolution,[],[f12756,f49]) ).
thf(f12760,plain,
( spl2_209
| ~ spl2_119
| spl2_229 ),
inference(avatar_split_clause,[],[f12758,f8888,f3963,f8261]) ).
thf(f12761,plain,
( spl2_209
| ~ spl2_149
| spl2_229 ),
inference(avatar_split_clause,[],[f12759,f8888,f5053,f8261]) ).
thf(f12771,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_26
| spl2_148 ),
inference(extensionality_resolution,[],[f9812,f10957]) ).
thf(f12775,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_148 ),
inference(extensionality_resolution,[],[f65,f10957]) ).
thf(f12776,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_148 ),
inference(extensionality_resolution,[],[f65,f10957]) ).
thf(f12777,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_148 ),
inference(extensionality_resolution,[],[f56,f10957]) ).
thf(f12778,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_148 ),
inference(extensionality_resolution,[],[f56,f10957]) ).
thf(f12779,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_148 ),
inference(extensionality_resolution,[],[f52,f10957]) ).
thf(f12780,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_148 ),
inference(extensionality_resolution,[],[f52,f10957]) ).
thf(f12781,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_148 ),
inference(extensionality_resolution,[],[f28,f10957]) ).
thf(f12783,plain,
( spl2_131
| spl2_209
| spl2_112
| ~ spl2_26
| spl2_148 ),
inference(avatar_split_clause,[],[f12771,f5028,f341,f3734,f8261,f4443]) ).
thf(f12784,plain,
( spl2_115
| spl2_114
| spl2_148 ),
inference(avatar_split_clause,[],[f12780,f5028,f3741,f3744]) ).
thf(f12785,plain,
( spl2_291
| spl2_292
| spl2_148 ),
inference(avatar_split_clause,[],[f12776,f5028,f11005,f11002]) ).
thf(f12786,plain,
( spl2_112
| spl2_113
| spl2_148 ),
inference(avatar_split_clause,[],[f12779,f5028,f3737,f3734]) ).
thf(f12788,plain,
( spl2_294
| spl2_293
| spl2_148 ),
inference(avatar_split_clause,[],[f12775,f5028,f11009,f11012]) ).
thf(f12789,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_58
| ~ spl2_83
| ~ spl2_127 ),
inference(constrained_superposition,[],[f8576,f2869]) ).
thf(f12794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_58
| ~ spl2_83
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f12789]) ).
thf(f12800,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_58
| ~ spl2_83
| ~ spl2_127 ),
inference(forward_subsumption_resolution,[],[f12794,f4283]) ).
thf(f12802,plain,
( spl2_62
| ~ spl2_58
| ~ spl2_83
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f12800,f4282,f2868,f2259,f2314]) ).
thf(f12862,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_322 ),
inference(constrained_superposition,[],[f11641,f50]) ).
thf(f12864,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_322 ),
inference(trivial_inequality_removal,[],[f12862]) ).
thf(f12866,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_41
| ~ spl2_58 ),
inference(constrained_superposition,[],[f996,f2260]) ).
thf(f12877,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_41
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f12866]) ).
thf(f12880,plain,
( $false
| ~ spl2_41
| ~ spl2_58
| ~ spl2_127 ),
inference(forward_subsumption_resolution,[],[f12877,f4283]) ).
thf(f12881,plain,
( ~ spl2_41
| ~ spl2_58
| ~ spl2_127 ),
inference(avatar_contradiction_clause,[],[f12880]) ).
thf(f12887,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f2303]) ).
thf(f12895,plain,
( spl2_299
| ~ spl2_59
| spl2_65
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f11676,f11085,f2326,f2303,f11060]) ).
thf(f12901,plain,
( spl2_55
| spl2_138
| spl2_118
| spl2_148 ),
inference(avatar_split_clause,[],[f12777,f5028,f3959,f4564,f2234]) ).
thf(f12933,plain,
( ( $true != $true )
| ~ spl2_55
| ~ spl2_84 ),
inference(constrained_superposition,[],[f2235,f3226]) ).
thf(f12935,plain,
( $false
| ~ spl2_55
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f12933]) ).
thf(f12936,plain,
( ~ spl2_55
| ~ spl2_84 ),
inference(avatar_contradiction_clause,[],[f12935]) ).
thf(f12941,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl2_16
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f7703,f8314]) ).
thf(f12951,plain,
( spl2_84
| spl2_8
| spl2_16
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f12941,f2259,f167,f126,f2904]) ).
thf(f12953,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f129]) ).
thf(f12955,plain,
( spl2_84
| spl2_8
| ~ spl2_9
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f7703,f2259,f129,f126,f2904]) ).
thf(f12956,plain,
( ~ spl2_59
| spl2_16
| spl2_65
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f8096,f4282,f2326,f167,f2303]) ).
thf(f12986,definition,
( spl2_364
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_364])],[avatar_definition]) ).
thf(f12987,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_364 ),
inference(avatar_component_clause,[],[f12986]) ).
thf(f12989,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_202 ),
inference(constrained_superposition,[],[f7909,f50]) ).
thf(f12991,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_202 ),
inference(trivial_inequality_removal,[],[f12989]) ).
thf(f12993,plain,
( spl2_229
| spl2_202 ),
inference(avatar_split_clause,[],[f12991,f7908,f8888]) ).
thf(f13011,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_109 ),
inference(constrained_superposition,[],[f87,f3713]) ).
thf(f13024,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f13011]) ).
thf(f13039,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_121
| ~ spl2_228 ),
inference(constrained_superposition,[],[f10289,f3988]) ).
thf(f13043,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_121
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f13039]) ).
thf(f13045,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_58
| ~ spl2_121
| ~ spl2_228 ),
inference(forward_subsumption_resolution,[],[f13043,f2260]) ).
thf(f13046,plain,
( spl2_125
| spl2_251
| ~ spl2_58
| ~ spl2_121
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f13045,f8697,f3987,f2259,f9354,f4238]) ).
thf(f13055,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_364 ),
inference(constrained_superposition,[],[f12987,f64]) ).
thf(f13062,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_364 ),
inference(trivial_inequality_removal,[],[f13055]) ).
thf(f13063,plain,
( spl2_19
| ~ spl2_364 ),
inference(avatar_split_clause,[],[f13062,f12986,f189]) ).
thf(f13122,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_297 ),
inference(constrained_superposition,[],[f62,f11053]) ).
thf(f13124,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_297 ),
inference(trivial_inequality_removal,[],[f13122]) ).
thf(f13158,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| spl2_325 ),
inference(constrained_superposition,[],[f11717,f64]) ).
thf(f13163,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_325 ),
inference(trivial_inequality_removal,[],[f13158]) ).
thf(f13184,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_336 ),
inference(constrained_superposition,[],[f12118,f1589]) ).
thf(f13185,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_336 ),
inference(constrained_superposition,[],[f12118,f63]) ).
thf(f13194,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_336 ),
inference(trivial_inequality_removal,[],[f13184]) ).
thf(f13196,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_336 ),
inference(trivial_inequality_removal,[],[f13185]) ).
thf(f13263,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_114
| ~ spl2_185 ),
inference(constrained_superposition,[],[f6728,f3742]) ).
thf(f13269,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_114
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f13263]) ).
thf(f13271,plain,
( $false
| ~ spl2_114
| ~ spl2_185
| ~ spl2_248 ),
inference(forward_subsumption_resolution,[],[f13269,f9336]) ).
thf(f13272,plain,
( ~ spl2_114
| ~ spl2_185
| ~ spl2_248 ),
inference(avatar_contradiction_clause,[],[f13271]) ).
thf(f13308,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| ~ spl2_58 ),
inference(constrained_superposition,[],[f127,f2260]) ).
thf(f13312,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_9 ),
inference(constrained_superposition,[],[f127,f12953]) ).
thf(f13319,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_8
| ~ spl2_58 ),
inference(trivial_inequality_removal,[],[f13308]) ).
thf(f13320,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_8
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f13312]) ).
thf(f13327,plain,
( spl2_28
| ~ spl2_8
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f13320,f129,f126,f349]) ).
thf(f13335,definition,
( spl2_367
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_367])],[avatar_definition]) ).
thf(f13336,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_367 ),
inference(avatar_component_clause,[],[f13335]) ).
thf(f13347,plain,
( spl2_367
| ~ spl2_8
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f13319,f2259,f126,f13335]) ).
thf(f13348,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_146
| ~ spl2_367 ),
inference(constrained_superposition,[],[f13336,f4971]) ).
thf(f13365,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_146
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f13348]) ).
thf(f13370,plain,
( $false
| ~ spl2_146
| ~ spl2_248
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f13365,f9336]) ).
thf(f13371,plain,
( ~ spl2_146
| ~ spl2_248
| ~ spl2_367 ),
inference(avatar_contradiction_clause,[],[f13370]) ).
thf(f13448,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_65
| ~ spl2_127 ),
inference(constrained_superposition,[],[f2327,f4283]) ).
thf(f13452,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_59
| ~ spl2_65 ),
inference(constrained_superposition,[],[f2327,f12887]) ).
thf(f13454,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_65 ),
inference(constrained_superposition,[],[f2327,f51]) ).
thf(f13462,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f13454]) ).
thf(f13464,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_65
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f13448]) ).
thf(f13468,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_59
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f13452]) ).
thf(f13469,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_65
| spl2_84 ),
inference(forward_subsumption_resolution,[],[f13462,f2905]) ).
thf(f13470,plain,
( spl2_22
| ~ spl2_65
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f13464,f4282,f2326,f279]) ).
thf(f13471,plain,
( spl2_28
| ~ spl2_59
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f13468,f2326,f2303,f349]) ).
thf(f13472,plain,
( spl2_28
| ~ spl2_65
| spl2_84 ),
inference(avatar_split_clause,[],[f13469,f2904,f2326,f349]) ).
thf(f13481,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f58,f11953]) ).
thf(f13491,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f13481]) ).
thf(f13496,definition,
( spl2_368
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_368])],[avatar_definition]) ).
thf(f13497,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_368 ),
inference(avatar_component_clause,[],[f13496]) ).
thf(f13539,plain,
( spl2_110
| spl2_111
| spl2_148 ),
inference(avatar_split_clause,[],[f12781,f5028,f3730,f3727]) ).
thf(f13559,plain,
( spl2_55
| spl2_229
| ~ spl2_210
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f13491,f4567,f8264,f8888,f2234]) ).
thf(f13561,plain,
( spl2_320
| spl2_322 ),
inference(avatar_split_clause,[],[f12864,f11640,f11632]) ).
thf(f13563,plain,
( ~ spl2_9
| spl2_8
| spl2_299
| ~ spl2_297 ),
inference(avatar_split_clause,[],[f13124,f11052,f11060,f126,f129]) ).
thf(f13564,plain,
( spl2_129
| ~ spl2_2
| ~ spl2_336 ),
inference(avatar_split_clause,[],[f13196,f12117,f79,f4335]) ).
thf(f13567,plain,
( spl2_129
| ~ spl2_16
| ~ spl2_4
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f13024,f3712,f86,f167,f4335]) ).
thf(f13568,plain,
( spl2_138
| ~ spl2_202
| ~ spl2_336 ),
inference(avatar_split_clause,[],[f13194,f12117,f7908,f4564]) ).
thf(f13579,plain,
( ( $true != $true )
| ~ spl2_55
| ~ spl2_139 ),
inference(constrained_superposition,[],[f2235,f11953]) ).
thf(f13587,plain,
( $false
| ~ spl2_55
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f13579]) ).
thf(f13588,plain,
( ~ spl2_55
| ~ spl2_139 ),
inference(avatar_contradiction_clause,[],[f13587]) ).
thf(f13619,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_28
| ~ spl2_229 ),
inference(constrained_superposition,[],[f350,f10175]) ).
thf(f13623,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_28
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f13619]) ).
thf(f13626,plain,
( $false
| ~ spl2_28
| ~ spl2_59
| ~ spl2_229 ),
inference(forward_subsumption_resolution,[],[f13623,f12887]) ).
thf(f13627,plain,
( ~ spl2_28
| ~ spl2_59
| ~ spl2_229 ),
inference(avatar_contradiction_clause,[],[f13626]) ).
thf(f13741,plain,
( ( $true != $true )
| ~ spl2_288
| ~ spl2_296 ),
inference(constrained_superposition,[],[f11049,f10979]) ).
thf(f13749,plain,
( $false
| ~ spl2_288
| ~ spl2_296 ),
inference(trivial_inequality_removal,[],[f13741]) ).
thf(f13750,plain,
( ~ spl2_288
| ~ spl2_296 ),
inference(avatar_contradiction_clause,[],[f13749]) ).
thf(f13938,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_8
| ~ spl2_44 ),
inference(constrained_superposition,[],[f127,f1623]) ).
thf(f13942,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f127,f51]) ).
thf(f13948,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f13942]) ).
thf(f13951,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_8
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f13938]) ).
thf(f13962,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_44
| ~ spl2_143 ),
inference(constrained_superposition,[],[f13951,f4590]) ).
thf(f13973,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_44
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f13962]) ).
thf(f14086,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_112
| ~ spl2_227 ),
inference(constrained_superposition,[],[f8689,f3735]) ).
thf(f14103,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_112
| ~ spl2_227 ),
inference(trivial_inequality_removal,[],[f14086]) ).
thf(f14110,plain,
( $false
| ~ spl2_111
| ~ spl2_112
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f14103,f3731]) ).
thf(f14111,plain,
( ~ spl2_111
| ~ spl2_112
| ~ spl2_227 ),
inference(avatar_contradiction_clause,[],[f14110]) ).
thf(f14165,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_125
| ~ spl2_184 ),
inference(constrained_superposition,[],[f6723,f4339]) ).
thf(f14168,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f6723,f51]) ).
thf(f14175,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f14168]) ).
thf(f14179,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_125
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f14165]) ).
thf(f14251,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_226 ),
inference(constrained_superposition,[],[f8684,f51]) ).
thf(f14261,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f14251]) ).
thf(f14300,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_294
| ~ spl2_309 ),
inference(constrained_superposition,[],[f11126,f11013]) ).
thf(f14309,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_294
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f14300]) ).
thf(f14320,plain,
( $false
| ~ spl2_114
| ~ spl2_294
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f14309,f3742]) ).
thf(f14321,plain,
( ~ spl2_114
| ~ spl2_294
| ~ spl2_309 ),
inference(avatar_contradiction_clause,[],[f14320]) ).
thf(f14333,plain,
( spl2_16
| spl2_28
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f13948,f126,f349,f167]) ).
thf(f14335,plain,
( ~ spl2_229
| ~ spl2_8
| ~ spl2_44
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f13973,f4589,f1622,f126,f8888]) ).
thf(f14338,plain,
( spl2_28
| ~ spl2_125
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f14179,f6722,f4238,f349]) ).
thf(f14340,plain,
( spl2_109
| spl2_28
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f14175,f6722,f349,f3712]) ).
thf(f14343,plain,
( spl2_28
| spl2_147
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f14261,f8683,f4983,f349]) ).
thf(f14430,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_22
| ~ spl2_129 ),
inference(constrained_superposition,[],[f280,f4336]) ).
thf(f14433,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_22
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f14430]) ).
thf(f14436,plain,
( $false
| ~ spl2_22
| ~ spl2_129
| ~ spl2_209 ),
inference(forward_subsumption_resolution,[],[f14433,f8262]) ).
thf(f14437,plain,
( ~ spl2_22
| ~ spl2_129
| ~ spl2_209 ),
inference(avatar_contradiction_clause,[],[f14436]) ).
thf(f14440,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_120 ),
inference(constrained_superposition,[],[f3968,f28]) ).
thf(f14441,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_120 ),
inference(trivial_inequality_removal,[],[f14440]) ).
thf(f14524,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_201 ),
inference(constrained_superposition,[],[f7905,f63]) ).
thf(f14534,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f14524]) ).
thf(f14544,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_113
| ~ spl2_368 ),
inference(constrained_superposition,[],[f13497,f3738]) ).
thf(f14548,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_113 ),
inference(constrained_superposition,[],[f58,f3738]) ).
thf(f14552,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_113 ),
inference(constrained_superposition,[],[f25,f3738]) ).
thf(f14556,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f14552]) ).
thf(f14559,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_113
| ~ spl2_368 ),
inference(trivial_inequality_removal,[],[f14544]) ).
thf(f14562,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f14548]) ).
thf(f14563,plain,
( spl2_117
| spl2_141
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f14556,f3737,f4575,f3956]) ).
thf(f14565,plain,
( $false
| ~ spl2_110
| ~ spl2_113
| ~ spl2_368 ),
inference(forward_subsumption_resolution,[],[f14559,f3728]) ).
thf(f14566,plain,
( ~ spl2_110
| ~ spl2_113
| ~ spl2_368 ),
inference(avatar_contradiction_clause,[],[f14565]) ).
thf(f14570,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_115 ),
inference(constrained_superposition,[],[f186,f3745]) ).
thf(f14582,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f14570]) ).
thf(f14634,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_287
| ~ spl2_311 ),
inference(constrained_superposition,[],[f11134,f10976]) ).
thf(f14649,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_287
| ~ spl2_311 ),
inference(trivial_inequality_removal,[],[f14634]) ).
thf(f14652,plain,
( $false
| ~ spl2_209
| ~ spl2_287
| ~ spl2_311 ),
inference(forward_subsumption_resolution,[],[f14649,f8262]) ).
thf(f14653,plain,
( ~ spl2_209
| ~ spl2_287
| ~ spl2_311 ),
inference(avatar_contradiction_clause,[],[f14652]) ).
thf(f14658,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_58
| ~ spl2_127
| ~ spl2_302 ),
inference(constrained_superposition,[],[f8576,f11072]) ).
thf(f14665,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_58
| ~ spl2_127
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f14658]) ).
thf(f14690,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f58,f11006]) ).
thf(f14695,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f14690]) ).
thf(f14707,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_293 ),
inference(constrained_superposition,[],[f87,f11010]) ).
thf(f14722,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f14707]) ).
thf(f14728,plain,
( ~ spl2_211
| spl2_121
| spl2_117
| ~ spl2_115 ),
inference(avatar_split_clause,[],[f14582,f3744,f3956,f3987,f8309]) ).
thf(f14729,plain,
( ~ spl2_211
| spl2_331
| ~ spl2_4
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f14722,f11009,f86,f11939,f8309]) ).
thf(f14730,plain,
( spl2_333
| ~ spl2_331
| ~ spl2_58
| ~ spl2_127
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f14665,f11071,f4282,f2259,f11939,f11950]) ).
thf(f14733,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_116
| spl2_120 ),
inference(forward_subsumption_resolution,[],[f14441,f10950]) ).
thf(f14734,plain,
( spl2_121
| spl2_116
| spl2_120 ),
inference(avatar_split_clause,[],[f14733,f3967,f3917,f3987]) ).
thf(f14748,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_302
| ~ spl2_333 ),
inference(constrained_superposition,[],[f11951,f11072]) ).
thf(f14758,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_302
| ~ spl2_333 ),
inference(trivial_inequality_removal,[],[f14748]) ).
thf(f14766,plain,
( $false
| ~ spl2_58
| ~ spl2_302
| ~ spl2_333 ),
inference(forward_subsumption_resolution,[],[f14758,f2260]) ).
thf(f14767,plain,
( ~ spl2_58
| ~ spl2_302
| ~ spl2_333 ),
inference(avatar_contradiction_clause,[],[f14766]) ).
thf(f14768,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_111 ),
inference(constrained_superposition,[],[f62,f3731]) ).
thf(f14771,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f14768]) ).
thf(f14806,plain,
( ~ spl2_322
| spl2_248
| spl2_135
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f14695,f11005,f4481,f9335,f11640]) ).
thf(f14811,plain,
( spl2_248
| spl2_135
| ~ spl2_338
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f14562,f3737,f12137,f4481,f9335]) ).
thf(f14833,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_116 ),
inference(constrained_superposition,[],[f63,f3918]) ).
thf(f14869,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_3
| ~ spl2_116 ),
inference(forward_subsumption_resolution,[],[f14833,f84]) ).
thf(f14874,plain,
( $false
| ~ spl2_3
| spl2_24
| ~ spl2_116 ),
inference(forward_subsumption_resolution,[],[f14869,f291]) ).
thf(f14875,plain,
( ~ spl2_3
| spl2_24
| ~ spl2_116 ),
inference(avatar_contradiction_clause,[],[f14874]) ).
thf(f14882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f25,f168]) ).
thf(f14886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f14882]) ).
thf(f14889,plain,
( spl2_364
| spl2_14
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f14886,f167,f160,f12986]) ).
thf(f14890,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_26
| spl2_116 ),
inference(extensionality_resolution,[],[f9812,f10950]) ).
thf(f14891,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_26
| spl2_116 ),
inference(extensionality_resolution,[],[f9812,f10950]) ).
thf(f14892,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_25
| spl2_116 ),
inference(extensionality_resolution,[],[f8385,f10950]) ).
thf(f14894,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_116 ),
inference(extensionality_resolution,[],[f65,f10950]) ).
thf(f14895,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_116 ),
inference(extensionality_resolution,[],[f65,f10950]) ).
thf(f14896,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| spl2_116 ),
inference(extensionality_resolution,[],[f56,f10950]) ).
thf(f14899,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_116 ),
inference(extensionality_resolution,[],[f52,f10950]) ).
thf(f14903,plain,
( spl2_288
| spl2_287
| spl2_116 ),
inference(avatar_split_clause,[],[f14894,f3917,f10975,f10978]) ).
thf(f14906,definition,
( spl2_378
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_378])],[avatar_definition]) ).
thf(f14907,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_378 ),
inference(avatar_component_clause,[],[f14906]) ).
thf(f14908,plain,
( spl2_378
| spl2_129
| spl2_3
| spl2_116 ),
inference(avatar_split_clause,[],[f14896,f3917,f83,f4335,f14906]) ).
thf(f14909,plain,
( spl2_139
| spl2_143
| spl2_116 ),
inference(avatar_split_clause,[],[f14899,f3917,f4589,f4567]) ).
thf(f14910,plain,
( ~ spl2_202
| spl2_146
| spl2_131
| ~ spl2_25
| spl2_116 ),
inference(avatar_split_clause,[],[f14892,f3917,f337,f4443,f4970,f7908]) ).
thf(f14911,plain,
( spl2_146
| spl2_131
| spl2_229
| ~ spl2_26
| spl2_116 ),
inference(avatar_split_clause,[],[f14890,f3917,f341,f8888,f4443,f4970]) ).
thf(f14912,plain,
( spl2_290
| spl2_289
| spl2_116 ),
inference(avatar_split_clause,[],[f14895,f3917,f10982,f10985]) ).
thf(f15022,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_28
| ~ spl2_320 ),
inference(constrained_superposition,[],[f350,f11633]) ).
thf(f15026,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_28
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f15022]) ).
thf(f15027,plain,
( $false
| ~ spl2_28
| ~ spl2_304
| ~ spl2_320 ),
inference(forward_subsumption_resolution,[],[f15026,f11083]) ).
thf(f15028,plain,
( ~ spl2_28
| ~ spl2_304
| ~ spl2_320 ),
inference(avatar_contradiction_clause,[],[f15027]) ).
thf(f15089,plain,
( ( $true != $true )
| ~ spl2_44
| spl2_121 ),
inference(constrained_superposition,[],[f9333,f1623]) ).
thf(f15095,plain,
( $false
| ~ spl2_44
| spl2_121 ),
inference(trivial_inequality_removal,[],[f15089]) ).
thf(f15096,plain,
( ~ spl2_44
| spl2_121 ),
inference(avatar_contradiction_clause,[],[f15095]) ).
thf(f15101,plain,
( spl2_143
| spl2_59
| spl2_248
| ~ spl2_26
| spl2_116 ),
inference(avatar_split_clause,[],[f14891,f3917,f341,f9335,f2303,f4589]) ).
thf(f15103,plain,
( spl2_109
| ~ spl2_59
| spl2_65
| ~ spl2_111 ),
inference(avatar_split_clause,[],[f14771,f3730,f2326,f2303,f3712]) ).
thf(f15161,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_109 ),
inference(constrained_superposition,[],[f186,f3713]) ).
thf(f15169,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f15161]) ).
thf(f15175,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_16
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f15169,f168]) ).
thf(f15178,plain,
( spl2_121
| spl2_117
| ~ spl2_16
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f15175,f3712,f167,f3956,f3987]) ).
thf(f15316,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_114 ),
inference(constrained_superposition,[],[f62,f3742]) ).
thf(f15319,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_114 ),
inference(trivial_inequality_removal,[],[f15316]) ).
thf(f15423,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_290 ),
inference(constrained_superposition,[],[f25,f10986]) ).
thf(f15425,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f15423]) ).
thf(f15435,plain,
( spl2_303
| spl2_296
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f15425,f10985,f11048,f11076]) ).
thf(f15487,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f25,f11006]) ).
thf(f15491,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f15487]) ).
thf(f15499,plain,
( spl2_326
| spl2_296
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f15491,f11005,f11048,f11784]) ).
thf(f15576,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_303 ),
inference(constrained_superposition,[],[f11077,f1589]) ).
thf(f15584,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f15576]) ).
thf(f15595,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_134
| ~ spl2_216 ),
inference(constrained_superposition,[],[f8531,f4478]) ).
thf(f15601,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_134
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f15595]) ).
thf(f15608,plain,
( spl2_41
| ~ spl2_134
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f15601,f8530,f4477,f995]) ).
thf(f15617,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_114
| ~ spl2_237 ),
inference(constrained_superposition,[],[f9024,f3742]) ).
thf(f15618,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_129
| ~ spl2_237 ),
inference(constrained_superposition,[],[f9024,f4336]) ).
thf(f15620,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_125
| ~ spl2_237 ),
inference(constrained_superposition,[],[f9024,f4339]) ).
thf(f15626,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_114
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f15617]) ).
thf(f15627,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_129
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f15618]) ).
thf(f15628,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_125
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f15620]) ).
thf(f15634,plain,
( spl2_227
| ~ spl2_114
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f15626,f9023,f3741,f8688]) ).
thf(f15635,plain,
( spl2_62
| ~ spl2_129
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f15627,f9023,f4335,f2314]) ).
thf(f15636,plain,
( spl2_64
| ~ spl2_125
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f15628,f9023,f4238,f2321]) ).
thf(f15639,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_144
| ~ spl2_303 ),
inference(forward_subsumption_resolution,[],[f15584,f4725]) ).
thf(f15640,plain,
( spl2_302
| ~ spl2_144
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f15639,f11076,f4724,f11071]) ).
thf(f15712,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_316 ),
inference(constrained_superposition,[],[f43,f11504]) ).
thf(f15779,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_316 ),
inference(equality_resolution,[],[f15712]) ).
thf(f15785,plain,
( spl2_307
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f15779,f11503,f11117]) ).
thf(f15787,plain,
( ~ spl2_125
| spl2_147
| spl2_184
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f15319,f3741,f6722,f4983,f4238]) ).
thf(f15861,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_292
| ~ spl2_368 ),
inference(constrained_superposition,[],[f13497,f11006]) ).
thf(f15862,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_368 ),
inference(constrained_superposition,[],[f13497,f63]) ).
thf(f15870,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_292
| ~ spl2_368 ),
inference(trivial_inequality_removal,[],[f15861]) ).
thf(f15871,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_368 ),
inference(trivial_inequality_removal,[],[f15862]) ).
thf(f15872,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_292
| ~ spl2_368 ),
inference(constrained_superposition,[],[f15870,f65]) ).
thf(f15875,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_292
| ~ spl2_368 ),
inference(trivial_inequality_removal,[],[f15872]) ).
thf(f15878,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_292
| ~ spl2_368 ),
inference(forward_subsumption_resolution,[],[f15875,f49]) ).
thf(f15881,plain,
( spl2_305
| ~ spl2_292
| ~ spl2_368 ),
inference(avatar_split_clause,[],[f15878,f13496,f11005,f11085]) ).
thf(f15882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_291 ),
inference(constrained_superposition,[],[f62,f11003]) ).
thf(f15884,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f15882]) ).
thf(f15888,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_129
| ~ spl2_232 ),
inference(constrained_superposition,[],[f8995,f4336]) ).
thf(f15898,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_129
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f15888]) ).
thf(f15906,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_129
| ~ spl2_232 ),
inference(constrained_superposition,[],[f15898,f3731]) ).
thf(f15918,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_111
| ~ spl2_129
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f15906]) ).
thf(f15921,plain,
( $false
| ~ spl2_111
| ~ spl2_129
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f15918,f4336]) ).
thf(f15922,plain,
( ~ spl2_111
| ~ spl2_129
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f15921]) ).
thf(f15924,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_306
| ~ spl2_331 ),
inference(constrained_superposition,[],[f11114,f12287]) ).
thf(f15930,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_306
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f15924]) ).
thf(f15936,plain,
( spl2_22
| ~ spl2_306
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f15930,f11939,f11113,f279]) ).
thf(f15958,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_326 ),
inference(constrained_superposition,[],[f11785,f1589]) ).
thf(f15968,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f15958]) ).
thf(f15972,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_302
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f15968,f12140]) ).
thf(f15975,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_302
| ~ spl2_326 ),
inference(constrained_superposition,[],[f15972,f1589]) ).
thf(f15977,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_302
| ~ spl2_326 ),
inference(constrained_superposition,[],[f15972,f52]) ).
thf(f15980,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_302
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f15977]) ).
thf(f15982,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_302
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f15975]) ).
thf(f15984,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_116
| spl2_302
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f15980,f10950]) ).
thf(f15986,plain,
( spl2_146
| spl2_302
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f15982,f11784,f11071,f4970]) ).
thf(f15987,plain,
( spl2_146
| spl2_116
| spl2_302
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f15984,f11784,f11071,f3917,f4970]) ).
thf(f15988,plain,
( ~ spl2_131
| spl2_226
| spl2_299
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f15884,f11002,f11060,f8683,f4443]) ).
thf(f16030,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_302 ),
inference(constrained_superposition,[],[f8099,f11072]) ).
thf(f16031,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_302 ),
inference(constrained_superposition,[],[f62,f11072]) ).
thf(f16034,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_127
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f16030]) ).
thf(f16035,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f16031]) ).
thf(f16071,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_303 ),
inference(constrained_superposition,[],[f11077,f63]) ).
thf(f16080,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f16071]) ).
thf(f16082,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_302
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11114,f11072]) ).
thf(f16084,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_304
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11114,f11083]) ).
thf(f16086,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_306 ),
inference(constrained_superposition,[],[f11114,f51]) ).
thf(f16089,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_302
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f16082]) ).
thf(f16092,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_304
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f16084]) ).
thf(f16094,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f16086]) ).
thf(f16095,plain,
( spl2_367
| ~ spl2_302
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f16089,f11113,f11071,f13335]) ).
thf(f16097,plain,
( spl2_28
| ~ spl2_304
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f16092,f11113,f11082,f349]) ).
thf(f16098,plain,
( spl2_299
| spl2_28
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f16094,f11113,f349,f11060]) ).
thf(f16099,plain,
( ~ spl2_182
| spl2_331
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f16080,f11076,f11939,f6439]) ).
thf(f16100,plain,
( spl2_332
| ~ spl2_331
| ~ spl2_127
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f16034,f11071,f4282,f11939,f11942]) ).
thf(f16110,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_26
| spl2_58 ),
inference(constrained_superposition,[],[f2618,f9812]) ).
thf(f16113,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_26
| spl2_58 ),
inference(trivial_inequality_removal,[],[f16110]) ).
thf(f16115,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_26
| spl2_58 ),
inference(forward_subsumption_resolution,[],[f16113,f49]) ).
thf(f16117,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_26
| spl2_58
| spl2_229 ),
inference(forward_subsumption_resolution,[],[f16115,f8889]) ).
thf(f16120,plain,
( spl2_297
| spl2_325 ),
inference(avatar_split_clause,[],[f13163,f11716,f11052]) ).
thf(f16121,plain,
( spl2_9
| ~ spl2_26
| spl2_58
| spl2_229 ),
inference(avatar_split_clause,[],[f16117,f8888,f2259,f341,f129]) ).
thf(f16193,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_127
| ~ spl2_138 ),
inference(constrained_superposition,[],[f8099,f4565]) ).
thf(f16194,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f62,f4565]) ).
thf(f16196,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_127
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f16193]) ).
thf(f16198,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f16194]) ).
thf(f16199,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_125
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f16198,f4339]) ).
thf(f16200,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_84
| ~ spl2_125
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f16199,f2905]) ).
thf(f16201,plain,
( spl2_184
| spl2_84
| ~ spl2_125
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f16200,f4564,f4238,f2904,f6722]) ).
thf(f16232,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_138
| ~ spl2_367 ),
inference(constrained_superposition,[],[f13336,f4565]) ).
thf(f16240,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_138
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f16232]) ).
thf(f16290,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f62,f4971]) ).
thf(f16293,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f16290]) ).
thf(f16296,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| spl2_84
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f16293,f2905]) ).
thf(f16298,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| spl2_84
| ~ spl2_131
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f16296,f5819]) ).
thf(f16300,plain,
( spl2_226
| spl2_84
| ~ spl2_131
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f16298,f4970,f4443,f2904,f8683]) ).
thf(f16309,plain,
( $false
| ~ spl2_113
| ~ spl2_135 ),
inference(forward_subsumption_resolution,[],[f3738,f4482]) ).
thf(f16310,plain,
( ~ spl2_113
| ~ spl2_135 ),
inference(avatar_contradiction_clause,[],[f16309]) ).
thf(f16311,plain,
( spl2_184
| spl2_84
| ~ spl2_125
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f16198,f4564,f4238,f2904,f6722]) ).
thf(f16313,plain,
( $false
| ~ spl2_138
| ~ spl2_209
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f8262,f16240]) ).
thf(f16314,plain,
( ~ spl2_138
| ~ spl2_209
| ~ spl2_367 ),
inference(avatar_contradiction_clause,[],[f16313]) ).
thf(f16316,definition,
( spl2_386
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_386])],[avatar_definition]) ).
thf(f16317,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_386 ),
inference(avatar_component_clause,[],[f16316]) ).
thf(f16318,plain,
( ~ spl2_129
| spl2_386
| ~ spl2_127
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f16196,f4564,f4282,f16316,f4335]) ).
thf(f16319,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_302
| ~ spl2_304 ),
inference(forward_subsumption_resolution,[],[f16035,f11083]) ).
thf(f16320,plain,
( spl2_306
| spl2_84
| ~ spl2_302
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f16319,f11082,f11071,f2904,f11113]) ).
thf(f16363,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_28
| ~ spl2_209 ),
inference(constrained_superposition,[],[f350,f8262]) ).
thf(f16365,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_28
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f16363]) ).
thf(f16368,plain,
( ~ spl2_125
| ~ spl2_28
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f16365,f8261,f349,f4238]) ).
thf(f16394,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_41
| ~ spl2_121 ),
inference(constrained_superposition,[],[f996,f3988]) ).
thf(f16396,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_41
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f16394]) ).
thf(f16399,plain,
( $false
| ~ spl2_41
| ~ spl2_121
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f16396,f4336]) ).
thf(f16400,plain,
( ~ spl2_41
| ~ spl2_121
| ~ spl2_129 ),
inference(avatar_contradiction_clause,[],[f16399]) ).
thf(f16437,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_113 ),
inference(constrained_superposition,[],[f25,f3738]) ).
thf(f16446,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_113 ),
inference(trivial_inequality_removal,[],[f16437]) ).
thf(f16448,plain,
( spl2_117
| spl2_141
| ~ spl2_113 ),
inference(avatar_split_clause,[],[f16446,f3737,f4575,f3956]) ).
thf(f16471,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_26
| ~ spl2_290 ),
inference(constrained_superposition,[],[f342,f10986]) ).
thf(f16472,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_290
| ~ spl2_378 ),
inference(constrained_superposition,[],[f14907,f10986]) ).
thf(f16484,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_26
| ~ spl2_290 ),
inference(trivial_inequality_removal,[],[f16471]) ).
thf(f16487,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_290
| ~ spl2_378 ),
inference(trivial_inequality_removal,[],[f16472]) ).
thf(f16491,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_26
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f16484,f49]) ).
thf(f16493,plain,
( ~ spl2_325
| ~ spl2_290
| ~ spl2_378 ),
inference(avatar_split_clause,[],[f16487,f14906,f10985,f11716]) ).
thf(f16496,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_26
| spl2_125
| ~ spl2_290 ),
inference(forward_subsumption_resolution,[],[f16491,f4239]) ).
thf(f16498,plain,
( spl2_320
| ~ spl2_26
| spl2_125
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f16496,f10985,f4238,f341,f11632]) ).
thf(f16556,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_138
| ~ spl2_184 ),
inference(constrained_superposition,[],[f6723,f4565]) ).
thf(f16557,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_129
| ~ spl2_184 ),
inference(constrained_superposition,[],[f6723,f4336]) ).
thf(f16562,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_129
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f16557]) ).
thf(f16564,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_138
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f16556]) ).
thf(f16570,plain,
( spl2_22
| ~ spl2_129
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f16562,f6722,f4335,f279]) ).
thf(f16572,plain,
( spl2_367
| ~ spl2_138
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f16564,f6722,f4564,f13335]) ).
thf(f16574,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_141 ),
inference(constrained_superposition,[],[f4576,f1589]) ).
thf(f16575,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_141 ),
inference(constrained_superposition,[],[f4576,f63]) ).
thf(f16580,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_141 ),
inference(trivial_inequality_removal,[],[f16575]) ).
thf(f16584,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_141 ),
inference(trivial_inequality_removal,[],[f16574]) ).
thf(f16585,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_226
| ~ spl2_291 ),
inference(constrained_superposition,[],[f8684,f11003]) ).
thf(f16593,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_226
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f16585]) ).
thf(f16597,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_226
| ~ spl2_289
| ~ spl2_291 ),
inference(constrained_superposition,[],[f16593,f10983]) ).
thf(f16610,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_226
| ~ spl2_289
| ~ spl2_291 ),
inference(trivial_inequality_removal,[],[f16597]) ).
thf(f16616,plain,
( $false
| ~ spl2_209
| ~ spl2_226
| ~ spl2_289
| ~ spl2_291 ),
inference(forward_subsumption_resolution,[],[f16610,f8262]) ).
thf(f16617,plain,
( ~ spl2_209
| ~ spl2_226
| ~ spl2_289
| ~ spl2_291 ),
inference(avatar_contradiction_clause,[],[f16616]) ).
thf(f16622,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_31
| ~ spl2_299 ),
inference(constrained_superposition,[],[f486,f11061]) ).
thf(f16623,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_299
| ~ spl2_303 ),
inference(constrained_superposition,[],[f11077,f11061]) ).
thf(f16631,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_299
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f16623]) ).
thf(f16639,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_31
| ~ spl2_299 ),
inference(trivial_inequality_removal,[],[f16622]) ).
thf(f16640,plain,
( $false
| ~ spl2_109
| ~ spl2_299
| ~ spl2_303 ),
inference(forward_subsumption_resolution,[],[f16631,f3713]) ).
thf(f16641,plain,
( ~ spl2_109
| ~ spl2_299
| ~ spl2_303 ),
inference(avatar_contradiction_clause,[],[f16640]) ).
thf(f16644,plain,
( spl2_331
| spl2_300
| ~ spl2_31
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f16639,f11060,f485,f11063,f11939]) ).
thf(f16671,plain,
( ~ spl2_2
| spl2_127
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f14534,f7904,f4282,f79]) ).
thf(f16675,plain,
( ~ spl2_123
| spl2_134
| ~ spl2_368 ),
inference(avatar_split_clause,[],[f15871,f13496,f4477,f4188]) ).
thf(f16676,plain,
( ~ spl2_182
| spl2_134
| ~ spl2_141 ),
inference(avatar_split_clause,[],[f16580,f4575,f4477,f6439]) ).
thf(f16749,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_22
| ~ spl2_134 ),
inference(constrained_superposition,[],[f280,f4478]) ).
thf(f16750,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f62,f4478]) ).
thf(f16752,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_22
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f16749]) ).
thf(f16753,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f16750]) ).
thf(f16802,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_41
| ~ spl2_137 ),
inference(constrained_superposition,[],[f996,f4493]) ).
thf(f16812,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_41
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f16802]) ).
thf(f16814,plain,
( $false
| ~ spl2_41
| ~ spl2_134
| ~ spl2_137 ),
inference(forward_subsumption_resolution,[],[f16812,f4478]) ).
thf(f16815,plain,
( ~ spl2_41
| ~ spl2_134
| ~ spl2_137 ),
inference(avatar_contradiction_clause,[],[f16814]) ).
thf(f16837,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_297 ),
inference(constrained_superposition,[],[f62,f11053]) ).
thf(f16840,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_297 ),
inference(trivial_inequality_removal,[],[f16837]) ).
thf(f16841,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_296
| ~ spl2_297 ),
inference(forward_subsumption_resolution,[],[f16840,f11049]) ).
thf(f16842,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_9
| ~ spl2_296
| ~ spl2_297 ),
inference(forward_subsumption_resolution,[],[f16841,f12953]) ).
thf(f16843,plain,
( spl2_8
| ~ spl2_9
| ~ spl2_296
| ~ spl2_297 ),
inference(avatar_split_clause,[],[f16842,f11052,f11048,f129,f126]) ).
thf(f16851,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_331 ),
inference(constrained_superposition,[],[f62,f12287]) ).
thf(f16855,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f16851]) ).
thf(f16877,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_62
| ~ spl2_143 ),
inference(constrained_superposition,[],[f2315,f4590]) ).
thf(f16879,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_59
| ~ spl2_62 ),
inference(constrained_superposition,[],[f2315,f12887]) ).
thf(f16881,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_62 ),
inference(constrained_superposition,[],[f2315,f51]) ).
thf(f16884,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_62
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f16877]) ).
thf(f16887,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_62 ),
inference(trivial_inequality_removal,[],[f16881]) ).
thf(f16888,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_59
| ~ spl2_62 ),
inference(trivial_inequality_removal,[],[f16879]) ).
thf(f16891,plain,
( $false
| ~ spl2_62
| ~ spl2_137
| ~ spl2_143 ),
inference(forward_subsumption_resolution,[],[f16884,f4493]) ).
thf(f16892,plain,
( ~ spl2_62
| ~ spl2_137
| ~ spl2_143 ),
inference(avatar_contradiction_clause,[],[f16891]) ).
thf(f16894,plain,
( $false
| ~ spl2_9
| ~ spl2_59
| ~ spl2_62 ),
inference(forward_subsumption_resolution,[],[f16888,f12953]) ).
thf(f16895,plain,
( ~ spl2_9
| ~ spl2_59
| ~ spl2_62 ),
inference(avatar_contradiction_clause,[],[f16894]) ).
thf(f16898,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_62 ),
inference(forward_subsumption_resolution,[],[f16887,f12953]) ).
thf(f16900,plain,
( spl2_84
| ~ spl2_9
| ~ spl2_62 ),
inference(avatar_split_clause,[],[f16898,f2314,f129,f2904]) ).
thf(f16963,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_112 ),
inference(constrained_superposition,[],[f62,f3735]) ).
thf(f16965,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f16963]) ).
thf(f16970,plain,
( $false
| ~ spl2_115
| ~ spl2_117 ),
inference(forward_subsumption_resolution,[],[f3745,f3957]) ).
thf(f16971,plain,
( ~ spl2_115
| ~ spl2_117 ),
inference(avatar_contradiction_clause,[],[f16970]) ).
thf(f16973,plain,
( spl2_109
| ~ spl2_131
| spl2_226
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f16965,f3734,f8683,f4443,f3712]) ).
thf(f16974,plain,
( $false
| ~ spl2_22
| ~ spl2_134
| ~ spl2_248 ),
inference(forward_subsumption_resolution,[],[f9336,f16752]) ).
thf(f16975,plain,
( ~ spl2_22
| ~ spl2_134
| ~ spl2_248 ),
inference(avatar_contradiction_clause,[],[f16974]) ).
thf(f16977,plain,
( spl2_306
| ~ spl2_304
| spl2_16
| ~ spl2_331 ),
inference(avatar_split_clause,[],[f16855,f11939,f167,f11082,f11113]) ).
thf(f16978,plain,
( ~ spl2_144
| spl2_146
| ~ spl2_141 ),
inference(avatar_split_clause,[],[f16584,f4575,f4970,f4724]) ).
thf(f16979,plain,
( spl2_226
| spl2_16
| ~ spl2_131
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f16753,f4477,f4443,f167,f8683]) ).
thf(f16980,plain,
( spl2_117
| spl2_111
| spl2_118
| spl2_148 ),
inference(avatar_split_clause,[],[f12778,f5028,f3959,f3730,f3956]) ).
thf(f16994,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f56,f168]) ).
thf(f16998,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f16994]) ).
thf(f17003,plain,
( spl2_31
| spl2_3
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f16998,f167,f83,f485]) ).
thf(f17020,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_129 ),
inference(constrained_superposition,[],[f62,f4336]) ).
thf(f17021,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_129 ),
inference(constrained_superposition,[],[f26,f4336]) ).
thf(f17022,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f17021]) ).
thf(f17023,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f17020]) ).
thf(f17040,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f62,f3988]) ).
thf(f17043,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f17040]) ).
thf(f17046,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_147 ),
inference(constrained_superposition,[],[f186,f4984]) ).
thf(f17051,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_147 ),
inference(constrained_superposition,[],[f56,f4984]) ).
thf(f17052,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_147 ),
inference(constrained_superposition,[],[f25,f4984]) ).
thf(f17056,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f17051]) ).
thf(f17058,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f17052]) ).
thf(f17061,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f17046]) ).
thf(f17062,plain,
( spl2_135
| spl2_136
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f17056,f4983,f4484,f4481]) ).
thf(f17063,plain,
( spl2_200
| spl2_14
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f17058,f4983,f160,f7899]) ).
thf(f17064,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_16
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f17061,f168]) ).
thf(f17065,plain,
( spl2_137
| spl2_135
| ~ spl2_16
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f17064,f4983,f167,f4481,f4492]) ).
thf(f17095,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_144 ),
inference(constrained_superposition,[],[f58,f4725]) ).
thf(f17098,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_144 ),
inference(constrained_superposition,[],[f56,f4725]) ).
thf(f17099,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_144 ),
inference(constrained_superposition,[],[f25,f4725]) ).
thf(f17100,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f17098]) ).
thf(f17105,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f17095]) ).
thf(f17107,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f17099]) ).
thf(f17108,plain,
( spl2_117
| spl2_149
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f17100,f4724,f5053,f3956]) ).
thf(f17109,plain,
( spl2_55
| spl2_118
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f17107,f4724,f3959,f2234]) ).
thf(f17161,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_139
| ~ spl2_197 ),
inference(constrained_superposition,[],[f7875,f11953]) ).
thf(f17162,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f186,f11953]) ).
thf(f17170,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_139
| ~ spl2_197 ),
inference(trivial_inequality_removal,[],[f17161]) ).
thf(f17174,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f17162]) ).
thf(f17178,plain,
( ~ spl2_211
| ~ spl2_139
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f17170,f7874,f4567,f8309]) ).
thf(f17180,plain,
( ~ spl2_211
| spl2_55
| spl2_58
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f17174,f4567,f2259,f2234,f8309]) ).
thf(f17257,plain,
( ~ spl2_202
| spl2_117
| spl2_209
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f17105,f4724,f8261,f3956,f7908]) ).
thf(f17278,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_200 ),
inference(constrained_superposition,[],[f7900,f63]) ).
thf(f17283,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f17278]) ).
thf(f17290,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_378 ),
inference(constrained_superposition,[],[f14907,f1589]) ).
thf(f17295,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_378 ),
inference(trivial_inequality_removal,[],[f17290]) ).
thf(f17301,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_138
| ~ spl2_378 ),
inference(forward_subsumption_resolution,[],[f17295,f8992]) ).
thf(f17303,plain,
( ~ spl2_54
| spl2_138
| ~ spl2_378 ),
inference(avatar_split_clause,[],[f17301,f14906,f4564,f2230]) ).
thf(f17306,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_25
| ~ spl2_288 ),
inference(constrained_superposition,[],[f338,f10979]) ).
thf(f17311,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_288 ),
inference(constrained_superposition,[],[f25,f10979]) ).
thf(f17315,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f17306]) ).
thf(f17318,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f17311]) ).
thf(f17321,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_25
| ~ spl2_288
| spl2_304 ),
inference(forward_subsumption_resolution,[],[f17315,f11111]) ).
thf(f17323,plain,
( spl2_303
| spl2_117
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f17318,f10978,f3956,f11076]) ).
thf(f17324,plain,
( ~ spl2_338
| ~ spl2_25
| ~ spl2_288
| spl2_304 ),
inference(avatar_split_clause,[],[f17321,f11082,f10978,f337,f12137]) ).
thf(f17380,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f62,f10976]) ).
thf(f17383,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f17380]) ).
thf(f17385,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_289 ),
inference(constrained_superposition,[],[f62,f10983]) ).
thf(f17387,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f17385]) ).
thf(f17434,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_129
| ~ spl2_249 ),
inference(constrained_superposition,[],[f9344,f4336]) ).
thf(f17440,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_129
| ~ spl2_249 ),
inference(duplicate_literal_removal,[],[f17434]) ).
thf(f17441,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_129
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f17440]) ).
thf(f17448,plain,
( spl2_34
| ~ spl2_129
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f17441,f9343,f4335,f582]) ).
thf(f17480,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_129
| ~ spl2_386 ),
inference(constrained_superposition,[],[f16317,f4336]) ).
thf(f17487,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_129
| ~ spl2_386 ),
inference(trivial_inequality_removal,[],[f17480]) ).
thf(f17493,plain,
( spl2_41
| ~ spl2_129
| ~ spl2_386 ),
inference(avatar_split_clause,[],[f17487,f16316,f4335,f995]) ).
thf(f17502,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_299
| ~ spl2_326 ),
inference(constrained_superposition,[],[f11785,f11061]) ).
thf(f17508,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_299
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f17502]) ).
thf(f17510,plain,
( $false
| ~ spl2_147
| ~ spl2_299
| ~ spl2_326 ),
inference(forward_subsumption_resolution,[],[f17508,f4984]) ).
thf(f17511,plain,
( ~ spl2_147
| ~ spl2_299
| ~ spl2_326 ),
inference(avatar_contradiction_clause,[],[f17510]) ).
thf(f17590,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_331
| ~ spl2_332 ),
inference(constrained_superposition,[],[f11943,f12287]) ).
thf(f17597,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_331
| ~ spl2_332 ),
inference(trivial_inequality_removal,[],[f17590]) ).
thf(f17603,plain,
( spl2_41
| ~ spl2_331
| ~ spl2_332 ),
inference(avatar_split_clause,[],[f17597,f11942,f11939,f995]) ).
thf(f17628,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_330
| ~ spl2_331 ),
inference(constrained_superposition,[],[f11905,f12287]) ).
thf(f17638,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_330
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f17628]) ).
thf(f17642,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_143
| ~ spl2_330
| ~ spl2_331 ),
inference(constrained_superposition,[],[f17638,f4590]) ).
thf(f17653,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_143
| ~ spl2_330
| ~ spl2_331 ),
inference(trivial_inequality_removal,[],[f17642]) ).
thf(f17654,plain,
( $false
| ~ spl2_134
| ~ spl2_143
| ~ spl2_330
| ~ spl2_331 ),
inference(forward_subsumption_resolution,[],[f17653,f4478]) ).
thf(f17655,plain,
( ~ spl2_134
| ~ spl2_143
| ~ spl2_330
| ~ spl2_331 ),
inference(avatar_contradiction_clause,[],[f17654]) ).
thf(f17847,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_129
| ~ spl2_287 ),
inference(constrained_superposition,[],[f17022,f10976]) ).
thf(f17854,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_129
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f17847]) ).
thf(f17864,plain,
( spl2_332
| ~ spl2_331
| ~ spl2_129
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f17854,f10975,f4335,f11939,f11942]) ).
thf(f17869,plain,
( spl2_299
| ~ spl2_125
| spl2_184
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f17387,f10982,f6722,f4238,f11060]) ).
thf(f17870,plain,
( spl2_8
| spl2_109
| ~ spl2_9
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f17043,f3987,f129,f3712,f126]) ).
thf(f17875,plain,
( ~ spl2_304
| spl2_109
| spl2_306
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f17383,f10975,f11113,f3712,f11082]) ).
thf(f17877,plain,
( spl2_16
| ~ spl2_125
| spl2_184
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f17023,f4335,f6722,f4238,f167]) ).
thf(f17880,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f26,f193]) ).
thf(f17882,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f17880]) ).
thf(f17897,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_109 ),
inference(constrained_superposition,[],[f25,f3713]) ).
thf(f17904,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f17897]) ).
thf(f17910,plain,
( spl2_14
| spl2_336
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f17904,f3712,f12117,f160]) ).
thf(f17962,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_127 ),
inference(avatar_component_clause,[],[f4282]) ).
thf(f17965,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| spl2_127 ),
inference(constrained_superposition,[],[f17962,f1619]) ).
thf(f17967,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| spl2_127 ),
inference(trivial_inequality_removal,[],[f17965]) ).
thf(f17968,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| spl2_57
| spl2_127 ),
inference(forward_subsumption_resolution,[],[f17967,f3691]) ).
thf(f17969,plain,
( spl2_74
| spl2_106
| spl2_57
| spl2_127 ),
inference(avatar_split_clause,[],[f17968,f4282,f2256,f3543,f2627]) ).
thf(f17987,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_139 ),
inference(constrained_superposition,[],[f25,f11953]) ).
thf(f17992,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_139 ),
inference(trivial_inequality_removal,[],[f17987]) ).
thf(f17999,plain,
( spl2_135
| spl2_368
| ~ spl2_139 ),
inference(avatar_split_clause,[],[f17992,f4567,f13496,f4481]) ).
thf(f18019,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_112
| ~ spl2_129 ),
inference(constrained_superposition,[],[f17022,f3735]) ).
thf(f18023,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_112
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f18019]) ).
thf(f18027,plain,
( ~ spl2_2
| spl2_134
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f17283,f7899,f4477,f79]) ).
thf(f18028,plain,
( spl2_216
| ~ spl2_134
| ~ spl2_112
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f18023,f4335,f3734,f4477,f8530]) ).
thf(f18126,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_56
| ~ spl2_293 ),
inference(constrained_superposition,[],[f2238,f11010]) ).
thf(f18134,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_293 ),
inference(constrained_superposition,[],[f25,f11010]) ).
thf(f18138,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f18126]) ).
thf(f18141,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f18134]) ).
thf(f18145,plain,
( spl2_135
| spl2_326
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f18141,f11009,f11784,f4481]) ).
thf(f18164,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_326 ),
inference(constrained_superposition,[],[f11785,f63]) ).
thf(f18170,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f18164]) ).
thf(f18175,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_326
| spl2_331 ),
inference(forward_subsumption_resolution,[],[f18170,f11940]) ).
thf(f18176,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_326
| spl2_331 ),
inference(constrained_superposition,[],[f18175,f63]) ).
thf(f18181,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_326
| spl2_331 ),
inference(trivial_inequality_removal,[],[f18176]) ).
thf(f18191,plain,
( spl2_134
| ~ spl2_326
| spl2_331 ),
inference(avatar_split_clause,[],[f18181,f11939,f11784,f4477]) ).
thf(f18192,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_56
| ~ spl2_293
| spl2_302 ),
inference(forward_subsumption_resolution,[],[f18138,f12140]) ).
thf(f18193,plain,
( ~ spl2_139
| ~ spl2_56
| ~ spl2_293
| spl2_302 ),
inference(avatar_split_clause,[],[f18192,f11071,f11009,f2237,f4567]) ).
thf(f18225,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f56,f3728]) ).
thf(f18226,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f25,f3728]) ).
thf(f18235,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f18225]) ).
thf(f18236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f18226]) ).
thf(f18237,plain,
( spl2_55
| spl2_119
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f18235,f3727,f3963,f2234]) ).
thf(f18238,plain,
( spl2_117
| spl2_118
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f18236,f3727,f3959,f3956]) ).
thf(f18268,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_56
| ~ spl2_299 ),
inference(constrained_superposition,[],[f2238,f11061]) ).
thf(f18276,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ sK1 @ X1 ) ) )
| ~ spl2_299 ),
inference(constrained_superposition,[],[f25,f11061]) ).
thf(f18281,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_299 ),
inference(trivial_inequality_removal,[],[f18276]) ).
thf(f18284,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_56
| ~ spl2_299 ),
inference(trivial_inequality_removal,[],[f18268]) ).
thf(f18287,plain,
( spl2_14
| spl2_315
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f18281,f11060,f11498,f160]) ).
thf(f18297,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f62,f4590]) ).
thf(f18301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f18297]) ).
thf(f18313,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_115 ),
inference(constrained_superposition,[],[f25,f3745]) ).
thf(f18317,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_115 ),
inference(trivial_inequality_removal,[],[f18313]) ).
thf(f18325,plain,
( spl2_135
| spl2_141
| ~ spl2_115 ),
inference(avatar_split_clause,[],[f18317,f3744,f4575,f4481]) ).
thf(f18358,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_294 ),
inference(constrained_superposition,[],[f62,f11013]) ).
thf(f18361,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_294 ),
inference(trivial_inequality_removal,[],[f18358]) ).
thf(f18366,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_141
| ~ spl2_147 ),
inference(constrained_superposition,[],[f4576,f4984]) ).
thf(f18368,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_141
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f18366]) ).
thf(f18374,plain,
( $false
| ~ spl2_109
| ~ spl2_141
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f18368,f3713]) ).
thf(f18375,plain,
( ~ spl2_109
| ~ spl2_141
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f18374]) ).
thf(f18376,plain,
( ~ spl2_59
| spl2_147
| spl2_65
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f18301,f4589,f2326,f4983,f2303]) ).
thf(f18377,plain,
( ~ spl2_304
| spl2_306
| spl2_147
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f18361,f11012,f4983,f11113,f11082]) ).
thf(f18378,plain,
( ~ spl2_84
| spl2_302
| ~ spl2_56
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f18284,f11060,f2237,f11071,f2904]) ).
thf(f18396,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f25,f3226]) ).
thf(f18405,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f18396]) ).
thf(f18407,plain,
( spl2_201
| spl2_14
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f18405,f2904,f160,f7904]) ).
thf(f18444,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_113
| ~ spl2_200 ),
inference(constrained_superposition,[],[f7900,f3738]) ).
thf(f18455,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_113
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f18444]) ).
thf(f18466,plain,
( ~ spl2_338
| ~ spl2_113
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f18455,f7899,f3737,f12137]) ).
thf(f18516,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_20
| ~ spl2_121 ),
inference(constrained_superposition,[],[f17882,f3988]) ).
thf(f18527,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f18516]) ).
thf(f18531,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_20
| ~ spl2_121
| ~ spl2_129 ),
inference(constrained_superposition,[],[f18527,f4336]) ).
thf(f18538,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_121
| ~ spl2_129 ),
inference(duplicate_literal_removal,[],[f18531]) ).
thf(f18539,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_20
| ~ spl2_121
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f18538]) ).
thf(f18548,plain,
( spl2_10
| ~ spl2_20
| ~ spl2_121
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f18539,f4335,f3987,f192,f140]) ).
thf(f18846,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_287
| ~ spl2_344 ),
inference(constrained_superposition,[],[f12374,f10976]) ).
thf(f18857,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_287
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f18846]) ).
thf(f18863,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_287
| ~ spl2_302
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f18857,f11072]) ).
thf(f18867,plain,
( spl2_330
| ~ spl2_287
| ~ spl2_302
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f18863,f12373,f11071,f10975,f11904]) ).
thf(f18872,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_302
| ~ spl2_330 ),
inference(constrained_superposition,[],[f11905,f11072]) ).
thf(f18879,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_302
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f18872]) ).
thf(f18887,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_302
| ~ spl2_305
| ~ spl2_330 ),
inference(constrained_superposition,[],[f18879,f11086]) ).
thf(f18888,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_111
| ~ spl2_302
| ~ spl2_330 ),
inference(constrained_superposition,[],[f18879,f3731]) ).
thf(f18895,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_111
| ~ spl2_302
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f18888]) ).
thf(f18897,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_302
| ~ spl2_305
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f18887]) ).
thf(f18901,plain,
( $false
| ~ spl2_111
| ~ spl2_138
| ~ spl2_302
| ~ spl2_330 ),
inference(forward_subsumption_resolution,[],[f18895,f4565]) ).
thf(f18902,plain,
( ~ spl2_111
| ~ spl2_138
| ~ spl2_302
| ~ spl2_330 ),
inference(avatar_contradiction_clause,[],[f18901]) ).
thf(f18903,plain,
( $false
| ~ spl2_302
| ~ spl2_305
| ~ spl2_330 ),
inference(forward_subsumption_resolution,[],[f18897,f11072]) ).
thf(f18904,plain,
( ~ spl2_302
| ~ spl2_305
| ~ spl2_330 ),
inference(avatar_contradiction_clause,[],[f18903]) ).
cnf(s2,plain,
( spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f88]) ).
cnf(s4,plain,
( ~ spl2_3
| spl2_7
| spl2_8
| ~ spl2_9 ),
inference(sat_conversion,[],[f131]) ).
cnf(s5,plain,
( ~ spl2_3
| spl2_9 ),
inference(sat_conversion,[],[f135]) ).
cnf(s9,plain,
( spl2_2
| spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s11,plain,
( spl2_3
| spl2_19
| spl2_20 ),
inference(sat_conversion,[],[f194]) ).
cnf(s12,plain,
( ~ spl2_3
| spl2_8
| ~ spl2_9
| spl2_21 ),
inference(sat_conversion,[],[f208]) ).
cnf(s14,plain,
( ~ spl2_3
| ~ spl2_8
| ~ spl2_14 ),
inference(sat_conversion,[],[f239]) ).
cnf(s15,plain,
( spl2_2
| spl2_20 ),
inference(sat_conversion,[],[f247]) ).
cnf(s19,plain,
( spl2_14
| spl2_25 ),
inference(sat_conversion,[],[f339]) ).
cnf(s20,plain,
( spl2_14
| spl2_26 ),
inference(sat_conversion,[],[f343]) ).
cnf(s23,plain,
( ~ spl2_9
| ~ spl2_20
| ~ spl2_28 ),
inference(sat_conversion,[],[f374]) ).
cnf(s24,plain,
( ~ spl2_4
| ~ spl2_14
| spl2_18
| ~ spl2_28 ),
inference(sat_conversion,[],[f386]) ).
cnf(s25,plain,
( spl2_10
| ~ spl2_14
| ~ spl2_18
| ~ spl2_28 ),
inference(sat_conversion,[],[f469]) ).
cnf(s27,plain,
( ~ spl2_14
| spl2_16
| ~ spl2_18
| spl2_30 ),
inference(sat_conversion,[],[f477]) ).
cnf(s47,plain,
( ~ spl2_14
| ~ spl2_30 ),
inference(sat_conversion,[],[f772]) ).
cnf(s48,plain,
( spl2_9
| spl2_16 ),
inference(sat_conversion,[],[f775]) ).
cnf(s51,plain,
( ~ spl2_10
| ~ spl2_18
| spl2_21 ),
inference(sat_conversion,[],[f837]) ).
cnf(s62,plain,
( spl2_44
| spl2_45 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s76,plain,
( spl2_55
| spl2_56 ),
inference(sat_conversion,[],[f2239]) ).
cnf(s78,plain,
( spl2_54
| spl2_58 ),
inference(sat_conversion,[],[f2262]) ).
cnf(s106,plain,
( ~ spl2_55
| spl2_59 ),
inference(sat_conversion,[],[f2522]) ).
cnf(s191,plain,
( ~ spl2_16
| spl2_55
| spl2_58
| ~ spl2_84 ),
inference(sat_conversion,[],[f3258]) ).
cnf(s235,plain,
( spl2_65
| spl2_84
| spl2_109
| ~ spl2_111 ),
inference(sat_conversion,[],[f3927]) ).
cnf(s243,plain,
( spl2_55
| spl2_58
| ~ spl2_110
| ~ spl2_120 ),
inference(sat_conversion,[],[f3969]) ).
cnf(s245,plain,
( spl2_120
| spl2_121 ),
inference(sat_conversion,[],[f3991]) ).
cnf(s251,plain,
( ~ spl2_109
| ~ spl2_117 ),
inference(sat_conversion,[],[f4042]) ).
cnf(s260,plain,
( spl2_3
| spl2_3
| spl2_24
| ~ spl2_116 ),
inference(sat_conversion,[],[f4110]) ).
cnf(s261,plain,
( spl2_3
| spl2_24
| ~ spl2_116 ),
inference(rat,[],[s260]) ).
cnf(s281,plain,
( ~ spl2_10
| ~ spl2_117
| ~ spl2_125 ),
inference(sat_conversion,[],[f4256]) ).
cnf(s284,plain,
( spl2_55
| ~ spl2_110
| spl2_119 ),
inference(sat_conversion,[],[f4279]) ).
cnf(s285,plain,
( ~ spl2_4
| ~ spl2_41
| ~ spl2_58
| ~ spl2_110
| ~ spl2_120 ),
inference(sat_conversion,[],[f4280]) ).
cnf(s286,plain,
( ~ spl2_4
| ~ spl2_110
| ~ spl2_120
| spl2_127 ),
inference(sat_conversion,[],[f4284]) ).
cnf(s287,plain,
( ~ spl2_10
| spl2_84
| ~ spl2_127 ),
inference(sat_conversion,[],[f4307]) ).
cnf(s289,plain,
( ~ spl2_31
| ~ spl2_109
| spl2_116
| spl2_129 ),
inference(sat_conversion,[],[f4337]) ).
cnf(s293,plain,
( ~ spl2_10
| ~ spl2_125
| ~ spl2_129 ),
inference(sat_conversion,[],[f4361]) ).
cnf(s295,plain,
( ~ spl2_62
| ~ spl2_111
| ~ spl2_121 ),
inference(sat_conversion,[],[f4402]) ).
cnf(s297,plain,
( ~ spl2_14
| ~ spl2_112
| ~ spl2_131
| spl2_132 ),
inference(sat_conversion,[],[f4448]) ).
cnf(s299,plain,
( spl2_131
| spl2_135
| spl2_136 ),
inference(sat_conversion,[],[f4486]) ).
cnf(s300,plain,
( ~ spl2_4
| ~ spl2_16
| spl2_131
| spl2_134 ),
inference(sat_conversion,[],[f4490]) ).
cnf(s303,plain,
( spl2_131
| ~ spl2_135 ),
inference(sat_conversion,[],[f4504]) ).
cnf(s304,plain,
( spl2_134
| ~ spl2_135 ),
inference(sat_conversion,[],[f4510]) ).
cnf(s310,plain,
( spl2_139
| spl2_143 ),
inference(sat_conversion,[],[f4593]) ).
cnf(s348,plain,
( ~ spl2_109
| spl2_131
| ~ spl2_141 ),
inference(sat_conversion,[],[f4974]) ).
cnf(s350,plain,
( ~ spl2_10
| ~ spl2_131
| ~ spl2_134 ),
inference(sat_conversion,[],[f4981]) ).
cnf(s353,plain,
( spl2_65
| spl2_84
| ~ spl2_143
| spl2_147 ),
inference(sat_conversion,[],[f4987]) ).
cnf(s356,plain,
( spl2_131
| spl2_147 ),
inference(sat_conversion,[],[f4994]) ).
cnf(s358,plain,
( spl2_138
| spl2_144 ),
inference(sat_conversion,[],[f5026]) ).
cnf(s366,plain,
( ~ spl2_84
| ~ spl2_109
| ~ spl2_118 ),
inference(sat_conversion,[],[f5125]) ).
cnf(s370,plain,
( ~ spl2_56
| ~ spl2_84
| ~ spl2_109
| spl2_138 ),
inference(sat_conversion,[],[f5132]) ).
cnf(s379,plain,
( spl2_59
| spl2_84 ),
inference(sat_conversion,[],[f5153]) ).
cnf(s381,plain,
( ~ spl2_4
| ~ spl2_16
| ~ spl2_84
| spl2_127 ),
inference(sat_conversion,[],[f5175]) ).
cnf(s384,plain,
( ~ spl2_112
| ~ spl2_131
| ~ spl2_154 ),
inference(sat_conversion,[],[f5252]) ).
cnf(s388,plain,
( ~ spl2_112
| ~ spl2_121
| ~ spl2_153 ),
inference(sat_conversion,[],[f5286]) ).
cnf(s392,plain,
( ~ spl2_56
| ~ spl2_84
| spl2_146
| ~ spl2_147 ),
inference(sat_conversion,[],[f5315]) ).
cnf(s413,plain,
( ~ spl2_24
| spl2_81 ),
inference(sat_conversion,[],[f5660]) ).
cnf(s418,plain,
( spl2_65
| ~ spl2_83
| spl2_84 ),
inference(sat_conversion,[],[f5706]) ).
cnf(s419,plain,
( ~ spl2_55
| spl2_127 ),
inference(sat_conversion,[],[f5715]) ).
cnf(s423,plain,
( ~ spl2_45
| spl2_57
| spl2_58
| spl2_75 ),
inference(sat_conversion,[],[f5727]) ).
cnf(s426,plain,
( ~ spl2_55
| ~ spl2_110 ),
inference(sat_conversion,[],[f5754]) ).
cnf(s430,plain,
( ~ spl2_9
| ~ spl2_14
| spl2_34
| ~ spl2_134
| ~ spl2_137 ),
inference(sat_conversion,[],[f5767]) ).
cnf(s435,plain,
( ~ spl2_9
| ~ spl2_121
| ~ spl2_154 ),
inference(sat_conversion,[],[f5778]) ).
cnf(s439,plain,
( ~ spl2_9
| ~ spl2_14
| spl2_62
| ~ spl2_121
| ~ spl2_138 ),
inference(sat_conversion,[],[f5786]) ).
cnf(s464,plain,
( ~ spl2_3
| ~ spl2_16 ),
inference(sat_conversion,[],[f5837]) ).
cnf(s465,plain,
( ~ spl2_3
| spl2_44 ),
inference(sat_conversion,[],[f5841]) ).
cnf(s466,plain,
( ~ spl2_3
| spl2_106 ),
inference(sat_conversion,[],[f5842]) ).
cnf(s467,plain,
( ~ spl2_21
| spl2_84 ),
inference(sat_conversion,[],[f5856]) ).
cnf(s469,plain,
( ~ spl2_135
| ~ spl2_147 ),
inference(sat_conversion,[],[f5890]) ).
cnf(s471,plain,
( ~ spl2_135
| spl2_146 ),
inference(sat_conversion,[],[f5895]) ).
cnf(s473,plain,
( ~ spl2_34
| ~ spl2_121 ),
inference(sat_conversion,[],[f5909]) ).
cnf(s474,plain,
( ~ spl2_7
| spl2_84 ),
inference(sat_conversion,[],[f5931]) ).
cnf(s478,plain,
( ~ spl2_14
| spl2_84
| ~ spl2_138
| spl2_154 ),
inference(sat_conversion,[],[f6001]) ).
cnf(s493,plain,
( ~ spl2_113
| spl2_144
| ~ spl2_148 ),
inference(sat_conversion,[],[f6191]) ).
cnf(s496,plain,
( spl2_58
| ~ spl2_121
| ~ spl2_148 ),
inference(sat_conversion,[],[f6196]) ).
cnf(s497,plain,
( spl2_84
| ~ spl2_109
| ~ spl2_148 ),
inference(sat_conversion,[],[f6199]) ).
cnf(s499,plain,
( spl2_125
| ~ spl2_131
| ~ spl2_148 ),
inference(sat_conversion,[],[f6202]) ).
cnf(s510,plain,
( ~ spl2_24
| ~ spl2_81 ),
inference(sat_conversion,[],[f6344]) ).
cnf(s524,plain,
( ~ spl2_56
| ~ spl2_110
| ~ spl2_113
| spl2_146 ),
inference(sat_conversion,[],[f6475]) ).
cnf(s540,plain,
( ~ spl2_14
| ~ spl2_121
| ~ spl2_129 ),
inference(sat_conversion,[],[f6707]) ).
cnf(s543,plain,
( spl2_129
| spl2_182 ),
inference(sat_conversion,[],[f6713]) ).
cnf(s544,plain,
( spl2_109
| spl2_125 ),
inference(sat_conversion,[],[f6714]) ).
cnf(s545,plain,
( ~ spl2_118
| ~ spl2_123
| spl2_129 ),
inference(sat_conversion,[],[f6715]) ).
cnf(s547,plain,
( ~ spl2_114
| ~ spl2_125
| ~ spl2_170 ),
inference(sat_conversion,[],[f6719]) ).
cnf(s556,plain,
( ~ spl2_14
| spl2_84
| ~ spl2_125
| ~ spl2_138
| spl2_186 ),
inference(sat_conversion,[],[f6738]) ).
cnf(s557,plain,
( ~ spl2_14
| spl2_109
| ~ spl2_112
| spl2_170 ),
inference(sat_conversion,[],[f6740]) ).
cnf(s562,plain,
( spl2_123
| spl2_127 ),
inference(sat_conversion,[],[f6754]) ).
cnf(s564,plain,
( spl2_57
| spl2_123
| spl2_127 ),
inference(sat_conversion,[],[f6756]) ).
cnf(s566,plain,
( ~ spl2_138
| ~ spl2_186 ),
inference(sat_conversion,[],[f6803]) ).
cnf(s567,plain,
( ~ spl2_117
| spl2_138 ),
inference(sat_conversion,[],[f6814]) ).
cnf(s568,plain,
( ~ spl2_117
| spl2_129 ),
inference(sat_conversion,[],[f6815]) ).
cnf(s578,plain,
( ~ spl2_44
| spl2_58 ),
inference(sat_conversion,[],[f6886]) ).
cnf(s580,plain,
( spl2_8
| spl2_16
| ~ spl2_44
| spl2_84 ),
inference(sat_conversion,[],[f6911]) ).
cnf(s583,plain,
( ~ spl2_14
| spl2_16
| spl2_33
| ~ spl2_44 ),
inference(sat_conversion,[],[f6914]) ).
cnf(s595,plain,
( ~ spl2_129
| ~ spl2_186 ),
inference(sat_conversion,[],[f6998]) ).
cnf(s596,plain,
( spl2_84
| ~ spl2_111
| ~ spl2_154 ),
inference(sat_conversion,[],[f7023]) ).
cnf(s609,plain,
( ~ spl2_59
| ~ spl2_111
| ~ spl2_154 ),
inference(sat_conversion,[],[f7180]) ).
cnf(s610,plain,
( ~ spl2_14
| ~ spl2_138
| ~ spl2_185 ),
inference(sat_conversion,[],[f7194]) ).
cnf(s613,plain,
( ~ spl2_113
| ~ spl2_120
| spl2_135
| spl2_137 ),
inference(sat_conversion,[],[f7212]) ).
cnf(s615,plain,
( ~ spl2_4
| ~ spl2_113
| ~ spl2_120
| spl2_134 ),
inference(sat_conversion,[],[f7214]) ).
cnf(s619,plain,
( ~ spl2_58
| ~ spl2_138
| ~ spl2_175 ),
inference(sat_conversion,[],[f7301]) ).
cnf(s638,plain,
( ~ spl2_14
| ~ spl2_111
| ~ spl2_138
| spl2_185 ),
inference(sat_conversion,[],[f7497]) ).
cnf(s639,plain,
( ~ spl2_112
| ~ spl2_125
| ~ spl2_132 ),
inference(sat_conversion,[],[f7499]) ).
cnf(s644,plain,
( ~ spl2_15
| ~ spl2_125
| ~ spl2_129
| spl2_185 ),
inference(sat_conversion,[],[f7561]) ).
cnf(s648,plain,
( spl2_57
| spl2_58
| ~ spl2_106 ),
inference(sat_conversion,[],[f7601]) ).
cnf(s649,plain,
( ~ spl2_62
| ~ spl2_106
| ~ spl2_111
| spl2_116 ),
inference(sat_conversion,[],[f7606]) ).
cnf(s654,plain,
( spl2_16
| ~ spl2_106
| spl2_116
| ~ spl2_154 ),
inference(sat_conversion,[],[f7616]) ).
cnf(s663,plain,
( ~ spl2_4
| ~ spl2_54
| spl2_129
| ~ spl2_144 ),
inference(sat_conversion,[],[f7678]) ).
cnf(s665,plain,
( ~ spl2_54
| spl2_117
| spl2_121
| ~ spl2_144 ),
inference(sat_conversion,[],[f7680]) ).
cnf(s669,plain,
( spl2_16
| ~ spl2_58
| ~ spl2_70 ),
inference(sat_conversion,[],[f7716]) ).
cnf(s672,plain,
( ~ spl2_4
| ~ spl2_16
| spl2_134
| ~ spl2_147 ),
inference(sat_conversion,[],[f7722]) ).
cnf(s673,plain,
( ~ spl2_14
| spl2_16
| spl2_70
| ~ spl2_127 ),
inference(sat_conversion,[],[f7723]) ).
cnf(s689,plain,
( spl2_16
| ~ spl2_57
| ~ spl2_84 ),
inference(sat_conversion,[],[f7879]) ).
cnf(s695,plain,
( spl2_24
| ~ spl2_57
| ~ spl2_58 ),
inference(sat_conversion,[],[f7888]) ).
cnf(s696,plain,
( spl2_3
| spl2_3
| spl2_24
| ~ spl2_57 ),
inference(sat_conversion,[],[f7890]) ).
cnf(s697,plain,
( spl2_3
| spl2_24
| ~ spl2_57 ),
inference(rat,[],[s696]) ).
cnf(s700,plain,
( ~ spl2_56
| ~ spl2_78
| spl2_79 ),
inference(sat_conversion,[],[f7902]) ).
cnf(s704,plain,
( spl2_57
| spl2_114
| spl2_115 ),
inference(sat_conversion,[],[f7930]) ).
cnf(s705,plain,
( spl2_3
| spl2_57
| spl2_127
| spl2_197 ),
inference(sat_conversion,[],[f7931]) ).
cnf(s706,plain,
( spl2_57
| spl2_110
| spl2_111 ),
inference(sat_conversion,[],[f7932]) ).
cnf(s722,plain,
( ~ spl2_33
| ~ spl2_44
| ~ spl2_125 ),
inference(sat_conversion,[],[f8068]) ).
cnf(s740,plain,
( ~ spl2_21
| ~ spl2_84
| ~ spl2_118 ),
inference(sat_conversion,[],[f8257]) ).
cnf(s743,plain,
( ~ spl2_115
| spl2_117
| spl2_209
| ~ spl2_210 ),
inference(sat_conversion,[],[f8266]) ).
cnf(s744,plain,
( ~ spl2_110
| ~ spl2_201
| spl2_209 ),
inference(sat_conversion,[],[f8298]) ).
cnf(s749,plain,
( spl2_137
| spl2_211 ),
inference(sat_conversion,[],[f8331]) ).
cnf(s758,plain,
( spl2_16
| spl2_34
| ~ spl2_58
| ~ spl2_127
| spl2_202 ),
inference(sat_conversion,[],[f8504]) ).
cnf(s760,plain,
( spl2_41
| ~ spl2_127
| ~ spl2_134
| ~ spl2_146 ),
inference(sat_conversion,[],[f8527]) ).
cnf(s772,plain,
( spl2_109
| ~ spl2_209
| spl2_223 ),
inference(sat_conversion,[],[f8642]) ).
cnf(s776,plain,
( ~ spl2_112
| ~ spl2_114
| spl2_154
| ~ spl2_209 ),
inference(sat_conversion,[],[f8674]) ).
cnf(s778,plain,
( ~ spl2_112
| ~ spl2_131
| ~ spl2_223
| spl2_225 ),
inference(sat_conversion,[],[f8680]) ).
cnf(s780,plain,
( ~ spl2_112
| ~ spl2_125
| ~ spl2_131
| spl2_226 ),
inference(sat_conversion,[],[f8686]) ).
cnf(s782,plain,
( spl2_8
| spl2_16
| ~ spl2_137
| spl2_147 ),
inference(sat_conversion,[],[f8691]) ).
cnf(s784,plain,
( spl2_146
| ~ spl2_200
| ~ spl2_202 ),
inference(sat_conversion,[],[f8694]) ).
cnf(s785,plain,
( ~ spl2_78
| ~ spl2_118
| spl2_138 ),
inference(sat_conversion,[],[f8695]) ).
cnf(s791,plain,
( spl2_8
| spl2_16
| ~ spl2_121
| ~ spl2_125 ),
inference(sat_conversion,[],[f8713]) ).
cnf(s793,plain,
( spl2_8
| spl2_16
| spl2_109
| ~ spl2_121 ),
inference(sat_conversion,[],[f8715]) ).
cnf(s802,plain,
( ~ spl2_112
| ~ spl2_209
| ~ spl2_225 ),
inference(sat_conversion,[],[f8814]) ).
cnf(s809,plain,
( spl2_10
| ~ spl2_20
| ~ spl2_58
| ~ spl2_127 ),
inference(sat_conversion,[],[f8872]) ).
cnf(s814,plain,
( ~ spl2_58
| ~ spl2_112
| ~ spl2_127
| ~ spl2_138
| ~ spl2_146 ),
inference(sat_conversion,[],[f8916]) ).
cnf(s815,plain,
( ~ spl2_112
| ~ spl2_138
| ~ spl2_143
| ~ spl2_146 ),
inference(sat_conversion,[],[f8918]) ).
cnf(s823,plain,
( ~ spl2_114
| ~ spl2_138
| ~ spl2_146
| spl2_232 ),
inference(sat_conversion,[],[f8996]) ).
cnf(s828,plain,
( ~ spl2_111
| ~ spl2_112
| ~ spl2_143
| spl2_237 ),
inference(sat_conversion,[],[f9026]) ).
cnf(s850,plain,
( spl2_131
| spl2_134
| ~ spl2_212 ),
inference(sat_conversion,[],[f9299]) ).
cnf(s853,plain,
( ~ spl2_19
| ~ spl2_112
| ~ spl2_121
| spl2_248
| spl2_249 ),
inference(sat_conversion,[],[f9345]) ).
cnf(s855,plain,
( ~ spl2_19
| ~ spl2_58
| ~ spl2_112
| ~ spl2_143
| spl2_175
| spl2_248 ),
inference(sat_conversion,[],[f9351]) ).
cnf(s857,plain,
( ~ spl2_19
| ~ spl2_58
| ~ spl2_146
| spl2_248
| spl2_251 ),
inference(sat_conversion,[],[f9356]) ).
cnf(s859,plain,
( ~ spl2_112
| ~ spl2_114
| spl2_185
| ~ spl2_209
| ~ spl2_248 ),
inference(sat_conversion,[],[f9381]) ).
cnf(s890,plain,
( ~ spl2_74
| spl2_111
| spl2_116
| spl2_121
| spl2_148 ),
inference(sat_conversion,[],[f9898]) ).
cnf(s891,plain,
( ~ spl2_75
| spl2_116
| spl2_129
| spl2_138
| spl2_148 ),
inference(sat_conversion,[],[f9921]) ).
cnf(s909,plain,
( ~ spl2_26
| spl2_228
| spl2_229 ),
inference(sat_conversion,[],[f10180]) ).
cnf(s953,plain,
( spl2_34
| ~ spl2_127
| ~ spl2_251 ),
inference(sat_conversion,[],[f10675]) ).
cnf(s954,plain,
( ~ spl2_143
| spl2_153
| ~ spl2_251 ),
inference(sat_conversion,[],[f10677]) ).
cnf(s958,plain,
( ~ spl2_79
| spl2_138 ),
inference(sat_conversion,[],[f10745]) ).
cnf(s968,plain,
( ~ spl2_119
| ~ spl2_288
| spl2_298
| spl2_302 ),
inference(sat_conversion,[],[f11073]) ).
cnf(s971,plain,
( ~ spl2_56
| ~ spl2_110
| ~ spl2_288
| spl2_302 ),
inference(sat_conversion,[],[f11080]) ).
cnf(s975,plain,
( ~ spl2_154
| ~ spl2_287
| ~ spl2_304 ),
inference(sat_conversion,[],[f11123]) ).
cnf(s978,plain,
( ~ spl2_223
| ~ spl2_287
| ~ spl2_304
| spl2_311 ),
inference(sat_conversion,[],[f11135]) ).
cnf(s986,plain,
( ~ spl2_112
| ~ spl2_114
| ~ spl2_238
| spl2_313 ),
inference(sat_conversion,[],[f11151]) ).
cnf(s996,plain,
( spl2_3
| spl2_3
| spl2_24
| ~ spl2_300 ),
inference(sat_conversion,[],[f11256]) ).
cnf(s997,plain,
( spl2_3
| spl2_24
| ~ spl2_300 ),
inference(rat,[],[s996]) ).
cnf(s1001,plain,
( spl2_111
| ~ spl2_287
| ~ spl2_298 ),
inference(sat_conversion,[],[f11341]) ).
cnf(s1003,plain,
( spl2_78
| spl2_83
| ~ spl2_298 ),
inference(sat_conversion,[],[f11354]) ).
cnf(s1014,plain,
( ~ spl2_125
| spl2_131
| ~ spl2_307 ),
inference(sat_conversion,[],[f11457]) ).
cnf(s1015,plain,
( spl2_111
| ~ spl2_143
| ~ spl2_307 ),
inference(sat_conversion,[],[f11459]) ).
cnf(s1016,plain,
( spl2_109
| ~ spl2_147
| ~ spl2_307 ),
inference(sat_conversion,[],[f11460]) ).
cnf(s1018,plain,
( spl2_138
| ~ spl2_146
| ~ spl2_307 ),
inference(sat_conversion,[],[f11464]) ).
cnf(s1022,plain,
( ~ spl2_136
| spl2_294
| ~ spl2_299
| spl2_316 ),
inference(sat_conversion,[],[f11505]) ).
cnf(s1024,plain,
( ~ spl2_84
| spl2_298
| ~ spl2_299
| spl2_304
| spl2_305 ),
inference(sat_conversion,[],[f11511]) ).
cnf(s1027,plain,
( ~ spl2_296
| spl2_302 ),
inference(sat_conversion,[],[f11531]) ).
cnf(s1041,plain,
( spl2_135
| spl2_137
| ~ spl2_292
| ~ spl2_325 ),
inference(sat_conversion,[],[f11779]) ).
cnf(s1055,plain,
( ~ spl2_210
| ~ spl2_293
| ~ spl2_315 ),
inference(sat_conversion,[],[f11859]) ).
cnf(s1060,plain,
( ~ spl2_112
| ~ spl2_114
| ~ spl2_287
| ~ spl2_294
| spl2_309 ),
inference(sat_conversion,[],[f11899]) ).
cnf(s1063,plain,
( ~ spl2_143
| ~ spl2_146
| ~ spl2_294
| ~ spl2_302
| spl2_308 ),
inference(sat_conversion,[],[f11902]) ).
cnf(s1065,plain,
( ~ spl2_112
| ~ spl2_143
| ~ spl2_294
| ~ spl2_302
| spl2_309 ),
inference(sat_conversion,[],[f11907]) ).
cnf(s1067,plain,
( ~ spl2_143
| ~ spl2_294
| ~ spl2_308 ),
inference(sat_conversion,[],[f11936]) ).
cnf(s1069,plain,
( ~ spl2_84
| ~ spl2_136
| spl2_142
| spl2_143 ),
inference(sat_conversion,[],[f11948]) ).
cnf(s1076,plain,
( ~ spl2_84
| spl2_131
| spl2_142
| spl2_143
| ~ spl2_147 ),
inference(sat_conversion,[],[f11966]) ).
cnf(s1081,plain,
( ~ spl2_142
| spl2_238
| ~ spl2_287 ),
inference(sat_conversion,[],[f12069]) ).
cnf(s1086,plain,
( spl2_109
| ~ spl2_142
| ~ spl2_299 ),
inference(sat_conversion,[],[f12081]) ).
cnf(s1087,plain,
( ~ spl2_127
| spl2_134
| ~ spl2_142 ),
inference(sat_conversion,[],[f12083]) ).
cnf(s1108,plain,
( spl2_299
| spl2_304 ),
inference(sat_conversion,[],[f12126]) ).
cnf(s1109,plain,
( ~ spl2_202
| spl2_302
| ~ spl2_315 ),
inference(sat_conversion,[],[f12129]) ).
cnf(s1116,plain,
( ~ spl2_146
| ~ spl2_294
| ~ spl2_302
| spl2_330 ),
inference(sat_conversion,[],[f12148]) ).
cnf(s1123,plain,
( ~ spl2_111
| ~ spl2_112
| ~ spl2_201
| spl2_237
| spl2_248 ),
inference(sat_conversion,[],[f12159]) ).
cnf(s1125,plain,
( ~ spl2_289
| ~ spl2_313 ),
inference(sat_conversion,[],[f12175]) ).
cnf(s1127,plain,
( spl2_210
| spl2_248 ),
inference(sat_conversion,[],[f12196]) ).
cnf(s1144,plain,
( spl2_20
| ~ spl2_26
| spl2_212 ),
inference(sat_conversion,[],[f12291]) ).
cnf(s1148,plain,
( ~ spl2_58
| ~ spl2_137
| ~ spl2_146
| spl2_251 ),
inference(sat_conversion,[],[f12334]) ).
cnf(s1150,plain,
( ~ spl2_34
| ~ spl2_58 ),
inference(sat_conversion,[],[f12346]) ).
cnf(s1153,plain,
( spl2_16
| ~ spl2_34 ),
inference(sat_conversion,[],[f12359]) ).
cnf(s1156,plain,
( spl2_57
| spl2_112
| spl2_113 ),
inference(sat_conversion,[],[f12363]) ).
cnf(s1179,plain,
( spl2_209
| spl2_338 ),
inference(sat_conversion,[],[f12400]) ).
cnf(s1192,plain,
( ~ spl2_28
| ~ spl2_131
| ~ spl2_248 ),
inference(sat_conversion,[],[f12442]) ).
cnf(s1198,plain,
( ~ spl2_138
| spl2_344 ),
inference(sat_conversion,[],[f12480]) ).
cnf(s1199,plain,
( ~ spl2_58
| ~ spl2_127
| ~ spl2_129
| ~ spl2_138
| spl2_175 ),
inference(sat_conversion,[],[f12481]) ).
cnf(s1204,plain,
( ~ spl2_64
| ~ spl2_111
| ~ spl2_209 ),
inference(sat_conversion,[],[f12573]) ).
cnf(s1227,plain,
( spl2_59
| ~ spl2_125
| ~ spl2_148 ),
inference(sat_conversion,[],[f12720]) ).
cnf(s1229,plain,
( spl2_70
| ~ spl2_148
| ~ spl2_154 ),
inference(sat_conversion,[],[f12728]) ).
cnf(s1231,plain,
( ~ spl2_58
| spl2_121
| ~ spl2_148 ),
inference(sat_conversion,[],[f12732]) ).
cnf(s1233,plain,
( spl2_78
| ~ spl2_144
| ~ spl2_148 ),
inference(sat_conversion,[],[f12738]) ).
cnf(s1234,plain,
( ~ spl2_83
| spl2_138
| ~ spl2_148 ),
inference(sat_conversion,[],[f12740]) ).
cnf(s1236,plain,
( spl2_55
| ~ spl2_56
| spl2_83
| ~ spl2_148 ),
inference(sat_conversion,[],[f12742]) ).
cnf(s1246,plain,
( ~ spl2_119
| spl2_209
| spl2_229 ),
inference(sat_conversion,[],[f12760]) ).
cnf(s1247,plain,
( ~ spl2_149
| spl2_209
| spl2_229 ),
inference(sat_conversion,[],[f12761]) ).
cnf(s1249,plain,
( ~ spl2_26
| spl2_112
| spl2_131
| spl2_148
| spl2_209 ),
inference(sat_conversion,[],[f12783]) ).
cnf(s1250,plain,
( spl2_114
| spl2_115
| spl2_148 ),
inference(sat_conversion,[],[f12784]) ).
cnf(s1251,plain,
( spl2_148
| spl2_291
| spl2_292 ),
inference(sat_conversion,[],[f12785]) ).
cnf(s1252,plain,
( spl2_112
| spl2_113
| spl2_148 ),
inference(sat_conversion,[],[f12786]) ).
cnf(s1254,plain,
( spl2_148
| spl2_293
| spl2_294 ),
inference(sat_conversion,[],[f12788]) ).
cnf(s1255,plain,
( ~ spl2_58
| spl2_62
| ~ spl2_83
| ~ spl2_127 ),
inference(sat_conversion,[],[f12802]) ).
cnf(s1264,plain,
( ~ spl2_41
| ~ spl2_58
| ~ spl2_127 ),
inference(sat_conversion,[],[f12881]) ).
cnf(s1268,plain,
( ~ spl2_59
| spl2_65
| spl2_299
| ~ spl2_305 ),
inference(sat_conversion,[],[f12895]) ).
cnf(s1272,plain,
( spl2_55
| spl2_118
| spl2_138
| spl2_148 ),
inference(sat_conversion,[],[f12901]) ).
cnf(s1284,plain,
( ~ spl2_55
| ~ spl2_84 ),
inference(sat_conversion,[],[f12936]) ).
cnf(s1288,plain,
( spl2_8
| spl2_16
| ~ spl2_58
| spl2_84 ),
inference(sat_conversion,[],[f12951]) ).
cnf(s1291,plain,
( spl2_8
| ~ spl2_9
| ~ spl2_58
| spl2_84 ),
inference(sat_conversion,[],[f12955]) ).
cnf(s1292,plain,
( spl2_16
| ~ spl2_59
| spl2_65
| ~ spl2_127 ),
inference(sat_conversion,[],[f12956]) ).
cnf(s1301,plain,
( spl2_202
| spl2_229 ),
inference(sat_conversion,[],[f12993]) ).
cnf(s1309,plain,
( ~ spl2_58
| ~ spl2_121
| spl2_125
| ~ spl2_228
| spl2_251 ),
inference(sat_conversion,[],[f13046]) ).
cnf(s1310,plain,
( spl2_19
| ~ spl2_364 ),
inference(sat_conversion,[],[f13063]) ).
cnf(s1329,plain,
( ~ spl2_114
| ~ spl2_185
| ~ spl2_248 ),
inference(sat_conversion,[],[f13272]) ).
cnf(s1336,plain,
( ~ spl2_8
| ~ spl2_9
| spl2_28 ),
inference(sat_conversion,[],[f13327]) ).
cnf(s1341,plain,
( ~ spl2_8
| ~ spl2_58
| spl2_367 ),
inference(sat_conversion,[],[f13347]) ).
cnf(s1343,plain,
( ~ spl2_146
| ~ spl2_248
| ~ spl2_367 ),
inference(sat_conversion,[],[f13371]) ).
cnf(s1351,plain,
( spl2_22
| ~ spl2_65
| ~ spl2_127 ),
inference(sat_conversion,[],[f13470]) ).
cnf(s1352,plain,
( spl2_28
| ~ spl2_59
| ~ spl2_65 ),
inference(sat_conversion,[],[f13471]) ).
cnf(s1353,plain,
( spl2_28
| ~ spl2_65
| spl2_84 ),
inference(sat_conversion,[],[f13472]) ).
cnf(s1364,plain,
( spl2_110
| spl2_111
| spl2_148 ),
inference(sat_conversion,[],[f13539]) ).
cnf(s1370,plain,
( spl2_55
| ~ spl2_139
| ~ spl2_210
| spl2_229 ),
inference(sat_conversion,[],[f13559]) ).
cnf(s1372,plain,
( spl2_320
| spl2_322 ),
inference(sat_conversion,[],[f13561]) ).
cnf(s1374,plain,
( spl2_8
| ~ spl2_9
| ~ spl2_297
| spl2_299 ),
inference(sat_conversion,[],[f13563]) ).
cnf(s1375,plain,
( ~ spl2_2
| spl2_129
| ~ spl2_336 ),
inference(sat_conversion,[],[f13564]) ).
cnf(s1376,plain,
( ~ spl2_4
| ~ spl2_16
| ~ spl2_109
| spl2_129 ),
inference(sat_conversion,[],[f13567]) ).
cnf(s1377,plain,
( spl2_138
| ~ spl2_202
| ~ spl2_336 ),
inference(sat_conversion,[],[f13568]) ).
cnf(s1383,plain,
( ~ spl2_55
| ~ spl2_139 ),
inference(sat_conversion,[],[f13588]) ).
cnf(s1387,plain,
( ~ spl2_28
| ~ spl2_59
| ~ spl2_229 ),
inference(sat_conversion,[],[f13627]) ).
cnf(s1394,plain,
( ~ spl2_288
| ~ spl2_296 ),
inference(sat_conversion,[],[f13750]) ).
cnf(s1432,plain,
( ~ spl2_111
| ~ spl2_112
| ~ spl2_227 ),
inference(sat_conversion,[],[f14111]) ).
cnf(s1457,plain,
( ~ spl2_114
| ~ spl2_294
| ~ spl2_309 ),
inference(sat_conversion,[],[f14321]) ).
cnf(s1463,plain,
( ~ spl2_8
| spl2_16
| spl2_28 ),
inference(sat_conversion,[],[f14333]) ).
cnf(s1465,plain,
( ~ spl2_8
| ~ spl2_44
| ~ spl2_143
| ~ spl2_229 ),
inference(sat_conversion,[],[f14335]) ).
cnf(s1467,plain,
( spl2_28
| ~ spl2_125
| ~ spl2_184 ),
inference(sat_conversion,[],[f14338]) ).
cnf(s1469,plain,
( spl2_28
| spl2_109
| ~ spl2_184 ),
inference(sat_conversion,[],[f14340]) ).
cnf(s1472,plain,
( spl2_28
| spl2_147
| ~ spl2_226 ),
inference(sat_conversion,[],[f14343]) ).
cnf(s1493,plain,
( ~ spl2_22
| ~ spl2_129
| ~ spl2_209 ),
inference(sat_conversion,[],[f14437]) ).
cnf(s1499,plain,
( ~ spl2_113
| spl2_117
| spl2_141 ),
inference(sat_conversion,[],[f14563]) ).
cnf(s1501,plain,
( ~ spl2_110
| ~ spl2_113
| ~ spl2_368 ),
inference(sat_conversion,[],[f14566]) ).
cnf(s1508,plain,
( ~ spl2_209
| ~ spl2_287
| ~ spl2_311 ),
inference(sat_conversion,[],[f14653]) ).
cnf(s1517,plain,
( ~ spl2_115
| spl2_117
| spl2_121
| ~ spl2_211 ),
inference(sat_conversion,[],[f14728]) ).
cnf(s1518,plain,
( ~ spl2_4
| ~ spl2_211
| ~ spl2_293
| spl2_331 ),
inference(sat_conversion,[],[f14729]) ).
cnf(s1519,plain,
( ~ spl2_58
| ~ spl2_127
| ~ spl2_302
| ~ spl2_331
| spl2_333 ),
inference(sat_conversion,[],[f14730]) ).
cnf(s1523,plain,
( spl2_116
| spl2_120
| spl2_121 ),
inference(sat_conversion,[],[f14734]) ).
cnf(s1526,plain,
( ~ spl2_58
| ~ spl2_302
| ~ spl2_333 ),
inference(sat_conversion,[],[f14767]) ).
cnf(s1531,plain,
( spl2_135
| spl2_248
| ~ spl2_292
| ~ spl2_322 ),
inference(sat_conversion,[],[f14806]) ).
cnf(s1536,plain,
( ~ spl2_113
| spl2_135
| spl2_248
| ~ spl2_338 ),
inference(sat_conversion,[],[f14811]) ).
cnf(s1544,plain,
( ~ spl2_3
| spl2_24
| ~ spl2_116 ),
inference(sat_conversion,[],[f14875]) ).
cnf(s1546,plain,
( spl2_14
| ~ spl2_16
| spl2_364 ),
inference(sat_conversion,[],[f14889]) ).
cnf(s1548,plain,
( spl2_116
| spl2_287
| spl2_288 ),
inference(sat_conversion,[],[f14903]) ).
cnf(s1549,plain,
( spl2_3
| spl2_116
| spl2_129
| spl2_378 ),
inference(sat_conversion,[],[f14908]) ).
cnf(s1550,plain,
( spl2_116
| spl2_139
| spl2_143 ),
inference(sat_conversion,[],[f14909]) ).
cnf(s1551,plain,
( ~ spl2_25
| spl2_116
| spl2_131
| spl2_146
| ~ spl2_202 ),
inference(sat_conversion,[],[f14910]) ).
cnf(s1552,plain,
( ~ spl2_26
| spl2_116
| spl2_131
| spl2_146
| spl2_229 ),
inference(sat_conversion,[],[f14911]) ).
cnf(s1553,plain,
( spl2_116
| spl2_289
| spl2_290 ),
inference(sat_conversion,[],[f14912]) ).
cnf(s1568,plain,
( ~ spl2_28
| ~ spl2_304
| ~ spl2_320 ),
inference(sat_conversion,[],[f15028]) ).
cnf(s1579,plain,
( ~ spl2_44
| spl2_121 ),
inference(sat_conversion,[],[f15096]) ).
cnf(s1580,plain,
( ~ spl2_26
| spl2_59
| spl2_116
| spl2_143
| spl2_248 ),
inference(sat_conversion,[],[f15101]) ).
cnf(s1582,plain,
( ~ spl2_59
| spl2_65
| spl2_109
| ~ spl2_111 ),
inference(sat_conversion,[],[f15103]) ).
cnf(s1595,plain,
( ~ spl2_16
| ~ spl2_109
| spl2_117
| spl2_121 ),
inference(sat_conversion,[],[f15178]) ).
cnf(s1613,plain,
( ~ spl2_290
| spl2_296
| spl2_303 ),
inference(sat_conversion,[],[f15435]) ).
cnf(s1619,plain,
( ~ spl2_292
| spl2_296
| spl2_326 ),
inference(sat_conversion,[],[f15499]) ).
cnf(s1630,plain,
( spl2_41
| ~ spl2_134
| ~ spl2_216 ),
inference(sat_conversion,[],[f15608]) ).
cnf(s1633,plain,
( ~ spl2_114
| spl2_227
| ~ spl2_237 ),
inference(sat_conversion,[],[f15634]) ).
cnf(s1634,plain,
( spl2_62
| ~ spl2_129
| ~ spl2_237 ),
inference(sat_conversion,[],[f15635]) ).
cnf(s1635,plain,
( spl2_64
| ~ spl2_125
| ~ spl2_237 ),
inference(sat_conversion,[],[f15636]) ).
cnf(s1638,plain,
( ~ spl2_144
| spl2_302
| ~ spl2_303 ),
inference(sat_conversion,[],[f15640]) ).
cnf(s1650,plain,
( spl2_307
| ~ spl2_316 ),
inference(sat_conversion,[],[f15785]) ).
cnf(s1651,plain,
( ~ spl2_114
| ~ spl2_125
| spl2_147
| spl2_184 ),
inference(sat_conversion,[],[f15787]) ).
cnf(s1657,plain,
( ~ spl2_292
| spl2_305
| ~ spl2_368 ),
inference(sat_conversion,[],[f15881]) ).
cnf(s1659,plain,
( ~ spl2_111
| ~ spl2_129
| ~ spl2_232 ),
inference(sat_conversion,[],[f15922]) ).
cnf(s1660,plain,
( spl2_22
| ~ spl2_306
| ~ spl2_331 ),
inference(sat_conversion,[],[f15936]) ).
cnf(s1667,plain,
( spl2_146
| spl2_302
| ~ spl2_326 ),
inference(sat_conversion,[],[f15986]) ).
cnf(s1668,plain,
( spl2_116
| spl2_146
| spl2_302
| ~ spl2_326 ),
inference(sat_conversion,[],[f15987]) ).
cnf(s1670,plain,
( ~ spl2_131
| spl2_226
| ~ spl2_291
| spl2_299 ),
inference(sat_conversion,[],[f15988]) ).
cnf(s1681,plain,
( ~ spl2_302
| ~ spl2_306
| spl2_367 ),
inference(sat_conversion,[],[f16095]) ).
cnf(s1683,plain,
( spl2_28
| ~ spl2_304
| ~ spl2_306 ),
inference(sat_conversion,[],[f16097]) ).
cnf(s1684,plain,
( spl2_28
| spl2_299
| ~ spl2_306 ),
inference(sat_conversion,[],[f16098]) ).
cnf(s1685,plain,
( ~ spl2_182
| ~ spl2_303
| spl2_331 ),
inference(sat_conversion,[],[f16099]) ).
cnf(s1686,plain,
( ~ spl2_127
| ~ spl2_302
| ~ spl2_331
| spl2_332 ),
inference(sat_conversion,[],[f16100]) ).
cnf(s1692,plain,
( spl2_297
| spl2_325 ),
inference(sat_conversion,[],[f16120]) ).
cnf(s1693,plain,
( spl2_9
| ~ spl2_26
| spl2_58
| spl2_229 ),
inference(sat_conversion,[],[f16121]) ).
cnf(s1705,plain,
( spl2_84
| ~ spl2_125
| ~ spl2_138
| spl2_184 ),
inference(sat_conversion,[],[f16201]) ).
cnf(s1716,plain,
( spl2_84
| ~ spl2_131
| ~ spl2_146
| spl2_226 ),
inference(sat_conversion,[],[f16300]) ).
cnf(s1717,plain,
( ~ spl2_113
| ~ spl2_135 ),
inference(sat_conversion,[],[f16310]) ).
cnf(s1718,plain,
( spl2_84
| ~ spl2_125
| ~ spl2_138
| spl2_184 ),
inference(sat_conversion,[],[f16311]) ).
cnf(s1720,plain,
( ~ spl2_138
| ~ spl2_209
| ~ spl2_367 ),
inference(sat_conversion,[],[f16314]) ).
cnf(s1721,plain,
( ~ spl2_127
| ~ spl2_129
| ~ spl2_138
| spl2_386 ),
inference(sat_conversion,[],[f16318]) ).
cnf(s1722,plain,
( spl2_84
| ~ spl2_302
| ~ spl2_304
| spl2_306 ),
inference(sat_conversion,[],[f16320]) ).
cnf(s1727,plain,
( ~ spl2_28
| ~ spl2_125
| ~ spl2_209 ),
inference(sat_conversion,[],[f16368]) ).
cnf(s1733,plain,
( ~ spl2_41
| ~ spl2_121
| ~ spl2_129 ),
inference(sat_conversion,[],[f16400]) ).
cnf(s1737,plain,
( ~ spl2_113
| spl2_117
| spl2_141 ),
inference(sat_conversion,[],[f16448]) ).
cnf(s1739,plain,
( ~ spl2_290
| ~ spl2_325
| ~ spl2_378 ),
inference(sat_conversion,[],[f16493]) ).
cnf(s1742,plain,
( ~ spl2_26
| spl2_125
| ~ spl2_290
| spl2_320 ),
inference(sat_conversion,[],[f16498]) ).
cnf(s1747,plain,
( spl2_22
| ~ spl2_129
| ~ spl2_184 ),
inference(sat_conversion,[],[f16570]) ).
cnf(s1748,plain,
( ~ spl2_138
| ~ spl2_184
| spl2_367 ),
inference(sat_conversion,[],[f16572]) ).
cnf(s1750,plain,
( ~ spl2_209
| ~ spl2_226
| ~ spl2_289
| ~ spl2_291 ),
inference(sat_conversion,[],[f16617]) ).
cnf(s1753,plain,
( ~ spl2_109
| ~ spl2_299
| ~ spl2_303 ),
inference(sat_conversion,[],[f16641]) ).
cnf(s1756,plain,
( ~ spl2_31
| ~ spl2_299
| spl2_300
| spl2_331 ),
inference(sat_conversion,[],[f16644]) ).
cnf(s1760,plain,
( ~ spl2_2
| spl2_127
| ~ spl2_201 ),
inference(sat_conversion,[],[f16671]) ).
cnf(s1763,plain,
( ~ spl2_123
| spl2_134
| ~ spl2_368 ),
inference(sat_conversion,[],[f16675]) ).
cnf(s1764,plain,
( spl2_134
| ~ spl2_141
| ~ spl2_182 ),
inference(sat_conversion,[],[f16676]) ).
cnf(s1781,plain,
( ~ spl2_41
| ~ spl2_134
| ~ spl2_137 ),
inference(sat_conversion,[],[f16815]) ).
cnf(s1783,plain,
( spl2_8
| ~ spl2_9
| ~ spl2_296
| ~ spl2_297 ),
inference(sat_conversion,[],[f16843]) ).
cnf(s1786,plain,
( ~ spl2_62
| ~ spl2_137
| ~ spl2_143 ),
inference(sat_conversion,[],[f16892]) ).
cnf(s1787,plain,
( ~ spl2_9
| ~ spl2_59
| ~ spl2_62 ),
inference(sat_conversion,[],[f16895]) ).
cnf(s1789,plain,
( ~ spl2_9
| ~ spl2_62
| spl2_84 ),
inference(sat_conversion,[],[f16900]) ).
cnf(s1797,plain,
( ~ spl2_115
| ~ spl2_117 ),
inference(sat_conversion,[],[f16971]) ).
cnf(s1798,plain,
( spl2_109
| ~ spl2_112
| ~ spl2_131
| spl2_226 ),
inference(sat_conversion,[],[f16973]) ).
cnf(s1799,plain,
( ~ spl2_22
| ~ spl2_134
| ~ spl2_248 ),
inference(sat_conversion,[],[f16975]) ).
cnf(s1801,plain,
( spl2_16
| ~ spl2_304
| spl2_306
| ~ spl2_331 ),
inference(sat_conversion,[],[f16977]) ).
cnf(s1802,plain,
( ~ spl2_141
| ~ spl2_144
| spl2_146 ),
inference(sat_conversion,[],[f16978]) ).
cnf(s1803,plain,
( spl2_16
| ~ spl2_131
| ~ spl2_134
| spl2_226 ),
inference(sat_conversion,[],[f16979]) ).
cnf(s1804,plain,
( spl2_111
| spl2_117
| spl2_118
| spl2_148 ),
inference(sat_conversion,[],[f16980]) ).
cnf(s1809,plain,
( spl2_3
| ~ spl2_16
| spl2_31 ),
inference(sat_conversion,[],[f17003]) ).
cnf(s1816,plain,
( spl2_135
| spl2_136
| ~ spl2_147 ),
inference(sat_conversion,[],[f17062]) ).
cnf(s1817,plain,
( spl2_14
| ~ spl2_147
| spl2_200 ),
inference(sat_conversion,[],[f17063]) ).
cnf(s1818,plain,
( ~ spl2_16
| spl2_135
| spl2_137
| ~ spl2_147 ),
inference(sat_conversion,[],[f17065]) ).
cnf(s1821,plain,
( spl2_117
| ~ spl2_144
| spl2_149 ),
inference(sat_conversion,[],[f17108]) ).
cnf(s1822,plain,
( spl2_55
| spl2_118
| ~ spl2_144 ),
inference(sat_conversion,[],[f17109]) ).
cnf(s1830,plain,
( ~ spl2_139
| ~ spl2_197
| ~ spl2_211 ),
inference(sat_conversion,[],[f17178]) ).
cnf(s1832,plain,
( spl2_55
| spl2_58
| ~ spl2_139
| ~ spl2_211 ),
inference(sat_conversion,[],[f17180]) ).
cnf(s1836,plain,
( spl2_117
| ~ spl2_144
| ~ spl2_202
| spl2_209 ),
inference(sat_conversion,[],[f17257]) ).
cnf(s1840,plain,
( ~ spl2_54
| spl2_138
| ~ spl2_378 ),
inference(sat_conversion,[],[f17303]) ).
cnf(s1842,plain,
( spl2_117
| ~ spl2_288
| spl2_303 ),
inference(sat_conversion,[],[f17323]) ).
cnf(s1843,plain,
( ~ spl2_25
| ~ spl2_288
| spl2_304
| ~ spl2_338 ),
inference(sat_conversion,[],[f17324]) ).
cnf(s1852,plain,
( spl2_34
| ~ spl2_129
| ~ spl2_249 ),
inference(sat_conversion,[],[f17448]) ).
cnf(s1858,plain,
( spl2_41
| ~ spl2_129
| ~ spl2_386 ),
inference(sat_conversion,[],[f17493]) ).
cnf(s1862,plain,
( ~ spl2_147
| ~ spl2_299
| ~ spl2_326 ),
inference(sat_conversion,[],[f17511]) ).
cnf(s1870,plain,
( spl2_41
| ~ spl2_331
| ~ spl2_332 ),
inference(sat_conversion,[],[f17603]) ).
cnf(s1874,plain,
( ~ spl2_134
| ~ spl2_143
| ~ spl2_330
| ~ spl2_331 ),
inference(sat_conversion,[],[f17655]) ).
cnf(s1896,plain,
( ~ spl2_129
| ~ spl2_287
| ~ spl2_331
| spl2_332 ),
inference(sat_conversion,[],[f17864]) ).
cnf(s1898,plain,
( ~ spl2_125
| spl2_184
| ~ spl2_289
| spl2_299 ),
inference(sat_conversion,[],[f17869]) ).
cnf(s1899,plain,
( spl2_8
| ~ spl2_9
| spl2_109
| ~ spl2_121 ),
inference(sat_conversion,[],[f17870]) ).
cnf(s1901,plain,
( spl2_109
| ~ spl2_287
| ~ spl2_304
| spl2_306 ),
inference(sat_conversion,[],[f17875]) ).
cnf(s1902,plain,
( spl2_16
| ~ spl2_125
| ~ spl2_129
| spl2_184 ),
inference(sat_conversion,[],[f17877]) ).
cnf(s1905,plain,
( spl2_14
| ~ spl2_109
| spl2_336 ),
inference(sat_conversion,[],[f17910]) ).
cnf(s1916,plain,
( spl2_57
| spl2_74
| spl2_106
| spl2_127 ),
inference(sat_conversion,[],[f17969]) ).
cnf(s1918,plain,
( spl2_135
| ~ spl2_139
| spl2_368 ),
inference(sat_conversion,[],[f17999]) ).
cnf(s1921,plain,
( ~ spl2_2
| spl2_134
| ~ spl2_200 ),
inference(sat_conversion,[],[f18027]) ).
cnf(s1922,plain,
( ~ spl2_112
| ~ spl2_129
| ~ spl2_134
| spl2_216 ),
inference(sat_conversion,[],[f18028]) ).
cnf(s1935,plain,
( spl2_135
| ~ spl2_293
| spl2_326 ),
inference(sat_conversion,[],[f18145]) ).
cnf(s1942,plain,
( spl2_134
| ~ spl2_326
| spl2_331 ),
inference(sat_conversion,[],[f18191]) ).
cnf(s1944,plain,
( ~ spl2_56
| ~ spl2_139
| ~ spl2_293
| spl2_302 ),
inference(sat_conversion,[],[f18193]) ).
cnf(s1947,plain,
( spl2_55
| ~ spl2_110
| spl2_119 ),
inference(sat_conversion,[],[f18237]) ).
cnf(s1948,plain,
( ~ spl2_110
| spl2_117
| spl2_118 ),
inference(sat_conversion,[],[f18238]) ).
cnf(s1953,plain,
( spl2_14
| ~ spl2_299
| spl2_315 ),
inference(sat_conversion,[],[f18287]) ).
cnf(s1957,plain,
( ~ spl2_115
| spl2_135
| spl2_141 ),
inference(sat_conversion,[],[f18325]) ).
cnf(s1961,plain,
( ~ spl2_109
| ~ spl2_141
| ~ spl2_147 ),
inference(sat_conversion,[],[f18375]) ).
cnf(s1962,plain,
( ~ spl2_59
| spl2_65
| ~ spl2_143
| spl2_147 ),
inference(sat_conversion,[],[f18376]) ).
cnf(s1963,plain,
( spl2_147
| ~ spl2_294
| ~ spl2_304
| spl2_306 ),
inference(sat_conversion,[],[f18377]) ).
cnf(s1964,plain,
( ~ spl2_56
| ~ spl2_84
| ~ spl2_299
| spl2_302 ),
inference(sat_conversion,[],[f18378]) ).
cnf(s1969,plain,
( spl2_14
| ~ spl2_84
| spl2_201 ),
inference(sat_conversion,[],[f18407]) ).
cnf(s1972,plain,
( ~ spl2_113
| ~ spl2_200
| ~ spl2_338 ),
inference(sat_conversion,[],[f18466]) ).
cnf(s1976,plain,
( spl2_10
| ~ spl2_20
| ~ spl2_121
| ~ spl2_129 ),
inference(sat_conversion,[],[f18548]) ).
cnf(s2009,plain,
( ~ spl2_287
| ~ spl2_302
| spl2_330
| ~ spl2_344 ),
inference(sat_conversion,[],[f18867]) ).
cnf(s2013,plain,
( ~ spl2_111
| ~ spl2_138
| ~ spl2_302
| ~ spl2_330 ),
inference(sat_conversion,[],[f18902]) ).
cnf(s2014,plain,
( ~ spl2_302
| ~ spl2_305
| ~ spl2_330 ),
inference(sat_conversion,[],[f18904]) ).
cnf(s2022,plain,
( spl2_109
| spl2_84
| spl2_127
| spl2_28
| spl2_116
| spl2_10
| ~ spl2_4
| ~ spl2_20 ),
inference(rat,[],[s1976,s1523,s545,s286,s1272,s1364,s1718,s235,s1469,s544,s562,s1236,s418,s1353,s76,s419]) ).
cnf(s2023,plain,
( ~ spl2_109
| spl2_116
| spl2_10
| ~ spl2_31
| ~ spl2_16
| ~ spl2_20 ),
inference(rat,[],[s1595,s1976,s251,s289]) ).
cnf(s2024,plain,
( spl2_84
| spl2_28
| spl2_109
| spl2_116
| spl2_10
| ~ spl2_4
| ~ spl2_20 ),
inference(rat,[],[s1976,s665,s663,s78,s358,s567,s809,s1718,s2022,s544,s1469]) ).
cnf(s2025,plain,
( ~ spl2_84
| spl2_10
| ~ spl2_16
| ~ spl2_4
| ~ spl2_20 ),
inference(rat,[],[s809,s191,s381,s1284]) ).
cnf(s2026,plain,
( spl2_112
| spl2_148
| spl2_209
| ~ spl2_28
| spl2_57
| ~ spl2_26 ),
inference(rat,[],[s1192,s1536,s1717,s1249,s1156,s1179]) ).
cnf(s2027,plain,
( ~ spl2_248
| ~ spl2_367
| spl2_229
| ~ spl2_28
| spl2_116
| ~ spl2_26 ),
inference(rat,[],[s1552,s1192,s1343]) ).
cnf(s2029,plain,
( ~ spl2_138
| ~ spl2_112
| spl2_55
| ~ spl2_58
| ~ spl2_28
| ~ spl2_125
| spl2_116
| ~ spl2_19
| ~ spl2_26
| spl2_84 ),
inference(rat,[],[s310,s1370,s855,s1127,s2027,s1748,s1718,s619,s1387,s379]) ).
cnf(s2031,plain,
~ spl2_24,
inference(rat,[],[s413,s510]) ).
cnf(s2032,plain,
( ~ spl2_138
| ~ spl2_16
| spl2_10
| spl2_3
| ~ spl2_20 ),
inference(rat,[],[s1536,s1717,s1156,s2029,s419,s809,s1693,s1310,s2027,s20,s1546,s1748,s556,s1718,s566,s697,s23,s1387,s379,s1179,s1727,s2024,s2025,s2,s544,s2023,s1809,s261,s2031]) ).
cnf(s2033,plain,
( ~ spl2_16
| spl2_10
| spl2_3
| ~ spl2_20 ),
inference(rat,[],[s1821,s358,s567,s2032,s1247,s1387,s1727,s2024,s544,s379,s2023,s2025,s1809,s2,s261,s2031]) ).
cnf(s2034,plain,
( ~ spl2_125
| spl2_117
| spl2_84
| spl2_28
| spl2_16 ),
inference(rat,[],[s358,s1718,s665,s1467,s791,s78,s1288,s1336,s48]) ).
cnf(s2039,plain,
( ~ spl2_141
| ~ spl2_182
| ~ spl2_109
| spl2_28
| spl2_16 ),
inference(rat,[],[s1803,s1472,s348,s1764,s1961]) ).
cnf(s2041,plain,
( ~ spl2_135
| spl2_84
| spl2_28 ),
inference(rat,[],[s1472,s1716,s303,s469,s471]) ).
cnf(s2043,plain,
( ~ spl2_288
| ~ spl2_338
| ~ spl2_25
| ~ spl2_182
| spl2_117
| spl2_28
| spl2_16 ),
inference(rat,[],[s1801,s1685,s1683,s1842,s1843]) ).
cnf(s2044,plain,
( ~ spl2_303
| spl2_22
| ~ spl2_182
| ~ spl2_109
| spl2_16 ),
inference(rat,[],[s1801,s1108,s1660,s1753,s1685]) ).
cnf(s2045,plain,
( ~ spl2_294
| ~ spl2_287
| ~ spl2_114
| ~ spl2_112 ),
inference(rat,[],[s1060,s1457]) ).
cnf(s2046,plain,
( spl2_299
| ~ spl2_302
| spl2_84
| spl2_28 ),
inference(rat,[],[s1722,s1684,s1108]) ).
cnf(s2047,plain,
( ~ spl2_121
| ~ spl2_138
| ~ spl2_197
| ~ spl2_109
| spl2_84
| spl2_16
| spl2_10
| spl2_116
| ~ spl2_20 ),
inference(rat,[],[s1862,s2046,s1944,s1935,s1254,s2045,s1548,s2043,s782,s749,s1830,s310,s828,s1179,s1633,s776,s1250,s1957,s1432,s1252,s1737,s2039,s1804,s19,s545,s543,s439,s1976,s435,s1336,s1789,s497,s251,s562,s76,s419,s1292,s1353,s379,s2041,s23,s48]) ).
cnf(s2048,plain,
( ~ spl2_182
| ~ spl2_112
| ~ spl2_25
| spl2_154
| ~ spl2_111
| ~ spl2_138
| spl2_135
| ~ spl2_56
| spl2_148
| ~ spl2_109
| spl2_28
| spl2_16
| spl2_116 ),
inference(rat,[],[s2013,s2009,s1944,s1254,s2045,s1548,s310,s2043,s828,s1179,s1633,s776,s1250,s1957,s2039,s251,s1198,s1432]) ).
cnf(s2049,plain,
( ~ spl2_112
| ~ spl2_25
| spl2_154
| ~ spl2_111
| ~ spl2_138
| spl2_135
| ~ spl2_56
| ~ spl2_197
| ~ spl2_123
| spl2_148
| ~ spl2_109
| spl2_62
| spl2_28
| spl2_16
| spl2_116 ),
inference(rat,[],[s1630,s1922,s1781,s1763,s749,s1918,s1830,s310,s828,s1634,s543,s2048]) ).
cnf(s2050,plain,
( ~ spl2_138
| spl2_84
| spl2_10
| spl2_3
| ~ spl2_20 ),
inference(rat,[],[s782,s1961,s613,s1499,s1156,s2049,s19,s478,s609,s890,s245,s2047,s1789,s497,s251,s2024,s261,s2,s1916,s648,s1288,s1336,s562,s705,s697,s76,s419,s1292,s1353,s379,s2041,s23,s48,s2033,s2031]) ).
cnf(s2051,plain,
( spl2_84
| spl2_10
| spl2_3
| ~ spl2_20 ),
inference(rat,[],[s1976,s665,s891,s358,s2050,s423,s251,s497,s62,s78,s2024,s580,s1288,s2,s697,s261,s1336,s23,s48,s2033,s2031]) ).
cnf(s2052,plain,
( ~ spl2_135
| spl2_28
| spl2_16 ),
inference(rat,[],[s1803,s1472,s303,s304,s469]) ).
cnf(s2053,plain,
( ~ spl2_121
| ~ spl2_112
| ~ spl2_109
| spl2_10
| spl2_3
| ~ spl2_20 ),
inference(rat,[],[s1783,s1692,s1613,s1739,s1553,s2044,s1125,s1799,s986,s1763,s1081,s1918,s1548,s1069,s310,s2043,s1123,s828,s1179,s562,s1633,s776,s299,s1255,s704,s499,s496,s1236,s1957,s2048,s2039,s1969,s19,s1549,s543,s439,s791,s295,s1976,s435,s261,s1336,s2052,s23,s48,s2033,s370,s76,s1284,s1432,s706,s1948,s366,s2051,s251,s697,s2031]) ).
cnf(s2054,plain,
( spl2_14
| ~ spl2_182
| spl2_148
| ~ spl2_112
| ~ spl2_111
| ~ spl2_109
| ~ spl2_84
| spl2_28
| spl2_16
| spl2_116 ),
inference(rat,[],[s1935,s1862,s1254,s1108,s2045,s975,s1548,s2043,s1179,s859,s356,s1329,s384,s1123,s2048,s1969,s19,s251,s370,s76,s1284,s1633,s1250,s1957,s2039,s2052,s1432]) ).
cnf(s2055,plain,
( ~ spl2_14
| ~ spl2_111
| ~ spl2_138 ),
inference(rat,[],[s610,s638]) ).
cnf(s2056,plain,
( ~ spl2_139
| ~ spl2_197
| ~ spl2_123
| ~ spl2_129
| ~ spl2_112
| spl2_135 ),
inference(rat,[],[s1630,s1922,s1781,s749,s1763,s1830,s1918]) ).
cnf(s2057,plain,
( ~ spl2_143
| ~ spl2_129
| spl2_148
| spl2_121
| ~ spl2_112
| ~ spl2_111
| spl2_117 ),
inference(rat,[],[s749,s1517,s1786,s1250,s1634,s1633,s828,s1432]) ).
cnf(s2058,plain,
( spl2_127
| ~ spl2_139
| ~ spl2_129
| ~ spl2_112
| spl2_135
| spl2_3 ),
inference(rat,[],[s2056,s705,s562,s697,s2031]) ).
cnf(s2059,plain,
( spl2_148
| ~ spl2_112
| ~ spl2_109
| spl2_10
| spl2_3
| ~ spl2_20 ),
inference(rat,[],[s1069,s1816,s1087,s782,s1781,s749,s1858,s1832,s1721,s809,s2058,s310,s2057,s543,s2054,s261,s1336,s2052,s23,s48,s2033,s2055,s706,s1948,s366,s251,s697,s370,s76,s1284,s2051,s2053,s2031]) ).
cnf(s2060,plain,
( spl2_129
| spl2_58
| ~ spl2_112
| ~ spl2_109
| ~ spl2_84
| spl2_28
| spl2_16
| spl2_3 ),
inference(rat,[],[s1613,s1753,s1783,s1374,s1692,s1739,s1553,s1125,s986,s1081,s1069,s1548,s1816,s2043,s782,s1179,s749,s859,s1832,s1329,s310,s1123,s828,s1633,s704,s1957,s2039,s1549,s543,s261,s1336,s48,s2052,s19,s1969,s2055,s370,s76,s1284,s1432,s706,s1948,s366,s251,s697,s2031]) ).
cnf(s2061,plain,
( ~ spl2_114
| ~ spl2_129
| ~ spl2_148
| ~ spl2_112
| ~ spl2_111
| ~ spl2_138
| ~ spl2_84
| ~ spl2_15 ),
inference(rat,[],[s499,s644,s356,s1329,s392,s1123,s823,s1633,s76,s1284,s1969,s2055,s1432,s1659]) ).
cnf(s2062,plain,
( ~ spl2_112
| ~ spl2_109
| ~ spl2_15
| spl2_10
| spl2_3
| ~ spl2_20 ),
inference(rat,[],[s782,s749,s1961,s1517,s1957,s704,s2061,s2060,s1231,s2059,s2053,s1336,s2052,s23,s48,s2033,s370,s76,s1284,s706,s1948,s366,s2051,s251,s697,s2031]) ).
cnf(s2063,plain,
( ~ spl2_109
| ~ spl2_15
| spl2_10
| spl2_3
| ~ spl2_20 ),
inference(rat,[],[s1523,s1976,s613,s543,s782,s2039,s1961,s1499,s1156,s2062,s251,s697,s261,s1336,s2052,s23,s48,s2033,s2031]) ).
cnf(s2064,plain,
( spl2_299
| ~ spl2_378
| spl2_184
| ~ spl2_125
| spl2_8
| ~ spl2_9
| spl2_116 ),
inference(rat,[],[s1739,s1692,s1553,s1374,s1898]) ).
cnf(s2065,plain,
( ~ spl2_209
| ~ spl2_111
| ~ spl2_112
| spl2_142
| spl2_109
| ~ spl2_84 ),
inference(rat,[],[s1076,s356,s828,s778,s1635,s802,s1204,s772,s544]) ).
cnf(s2066,plain,
( ~ spl2_138
| ~ spl2_338
| ~ spl2_111
| ~ spl2_302
| ~ spl2_182
| spl2_117
| spl2_28
| spl2_16
| spl2_116 ),
inference(rat,[],[s1548,s2043,s2009,s19,s2013,s2055,s1198]) ).
cnf(s2067,plain,
( spl2_138
| spl2_148
| ~ spl2_378
| spl2_129
| spl2_55
| spl2_10
| spl2_57
| ~ spl2_20 ),
inference(rat,[],[s564,s809,s545,s78,s1272,s1840]) ).
cnf(s2068,plain,
( ~ spl2_111
| ~ spl2_138
| ~ spl2_112
| spl2_142
| ~ spl2_302
| spl2_109
| ~ spl2_84
| spl2_28
| spl2_16
| spl2_116 ),
inference(rat,[],[s1179,s2066,s2065,s568,s543,s1902,s1469,s544]) ).
cnf(s2069,plain,
( ~ spl2_110
| ~ spl2_120
| spl2_55
| spl2_10
| ~ spl2_4
| ~ spl2_20 ),
inference(rat,[],[s809,s243,s286]) ).
cnf(s2070,plain,
( spl2_138
| ~ spl2_378
| spl2_129
| spl2_121
| spl2_55
| spl2_10
| spl2_57
| ~ spl2_20 ),
inference(rat,[],[s1231,s78,s2067,s1840]) ).
cnf(s2071,plain,
( spl2_10
| spl2_3
| spl2_2 ),
inference(rat,[],[s1022,s1116,s1650,s1816,s392,s1016,s782,s613,s1156,s2013,s2068,s2070,s706,s2069,s1086,s1964,s2064,s1549,s1902,s245,s1469,s793,s544,s2063,s2052,s76,s1284,s2051,s1336,s23,s9,s48,s2033,s15,s2,s697,s261,s2031]) ).
cnf(s2072,plain,
( spl2_129
| ~ spl2_112
| ~ spl2_75
| ~ spl2_56
| ~ spl2_123
| spl2_84
| spl2_28
| spl2_16
| ~ spl2_109
| spl2_116 ),
inference(rat,[],[s2048,s19,s596,s2055,s1804,s891,s545,s543,s251,s2052,s497]) ).
cnf(s2073,plain,
( spl2_294
| spl2_146
| spl2_316
| ~ spl2_136
| spl2_148
| spl2_84
| spl2_135
| spl2_28 ),
inference(rat,[],[s1667,s2046,s1935,s1022,s1254]) ).
cnf(s2074,plain,
( ~ spl2_294
| ~ spl2_114
| ~ spl2_110
| ~ spl2_143
| ~ spl2_112
| ~ spl2_56
| spl2_116 ),
inference(rat,[],[s971,s1548,s1065,s1060,s1457]) ).
cnf(s2075,plain,
( ~ spl2_112
| spl2_127
| spl2_84
| spl2_28
| spl2_16
| ~ spl2_109
| spl2_3 ),
inference(rat,[],[s1630,s1922,s1942,s1801,s1684,s1108,s1935,s1022,s1254,s2074,s1250,s1957,s1650,s1733,s1816,s1961,s1015,s890,s706,s353,s828,s1550,s1634,s2058,s2072,s261,s2052,s1789,s1353,s497,s562,s76,s419,s1916,s648,s423,s62,s580,s1288,s1336,s48,s697,s2031]) ).
cnf(s2076,plain,
( spl2_84
| spl2_28
| spl2_16
| ~ spl2_109
| ~ spl2_10
| spl2_3 ),
inference(rat,[],[s1832,s310,s749,s1962,s782,s1961,s1499,s1156,s2075,s419,s1353,s1288,s287,s379,s697,s251,s1336,s48,s2031]) ).
cnf(s2077,plain,
( spl2_129
| ~ spl2_112
| ~ spl2_84
| spl2_28
| spl2_16
| ~ spl2_109
| spl2_3 ),
inference(rat,[],[s1553,s1739,s1125,s1692,s986,s1374,s1081,s1964,s1548,s2066,s2043,s1076,s356,s1179,s828,s499,s776,s1633,s791,s704,s1229,s1231,s1957,s669,s2054,s2039,s2060,s1549,s543,s261,s1336,s48,s2052,s19,s2055,s370,s76,s1284,s1432,s706,s1948,s366,s251,s697,s2031]) ).
cnf(s2078,plain,
( ~ spl2_121
| ~ spl2_129
| ~ spl2_112
| ~ spl2_111
| ~ spl2_138
| spl2_135
| spl2_3 ),
inference(rat,[],[s310,s2058,s828,s1721,s1634,s1858,s295,s1733]) ).
cnf(s2079,plain,
( spl2_143
| ~ spl2_129
| ~ spl2_112
| ~ spl2_138
| ~ spl2_84
| spl2_135
| spl2_8
| spl2_16
| spl2_3 ),
inference(rat,[],[s1069,s1087,s1816,s1781,s782,s749,s1832,s1264,s1858,s1721,s2058,s310,s1284]) ).
cnf(s2080,plain,
( ~ spl2_112
| spl2_28
| spl2_16
| ~ spl2_109
| ~ spl2_10
| spl2_3 ),
inference(rat,[],[s356,s392,s499,s815,s2057,s2079,s2078,s293,s2077,s1336,s48,s2052,s370,s76,s1284,s706,s1948,s366,s2076,s251,s697,s2031]) ).
cnf(s2081,plain,
( spl2_299
| spl2_147
| spl2_148
| spl2_28
| spl2_16
| ~ spl2_4 ),
inference(rat,[],[s1518,s1254,s1801,s1963,s1684,s1108,s749,s782,s1336,s48]) ).
cnf(s2082,plain,
( spl2_16
| ~ spl2_109
| ~ spl2_10
| spl2_3
| ~ spl2_20 ),
inference(rat,[],[s2009,s1548,s2013,s1842,s1964,s1753,s2081,s1961,s493,s1499,s1156,s2080,s1198,s706,s370,s1948,s1822,s76,s366,s1284,s2076,s23,s48,s2,s697,s261,s251,s2031]) ).
cnf(s2083,plain,
( ~ spl2_112
| spl2_135
| spl2_65
| spl2_127
| spl2_84
| spl2_41
| ~ spl2_129
| ~ spl2_16
| spl2_3 ),
inference(rat,[],[s1630,s1922,s672,s353,s1550,s2058,s2,s261,s2031]) ).
cnf(s2084,plain,
( spl2_84
| spl2_28
| ~ spl2_16
| ~ spl2_109
| ~ spl2_10
| spl2_3 ),
inference(rat,[],[s1918,s1763,s310,s350,s1962,s348,s1961,s1499,s1156,s2083,s562,s2041,s1353,s287,s379,s697,s1733,s1595,s251,s1376,s2,s2031]) ).
cnf(s2085,plain,
( ~ spl2_84
| ~ spl2_16
| ~ spl2_109
| ~ spl2_4 ),
inference(rat,[],[s370,s1721,s76,s381,s1284,s1858,s1733,s1595,s251,s1376]) ).
cnf(s2086,plain,
( ~ spl2_112
| ~ spl2_251
| ~ spl2_28
| spl2_127
| ~ spl2_19
| ~ spl2_121
| ~ spl2_129
| spl2_3 ),
inference(rat,[],[s2058,s303,s310,s1192,s954,s853,s388,s1852,s473]) ).
cnf(s2087,plain,
( spl2_299
| ~ spl2_131
| spl2_135
| ~ spl2_209
| ~ spl2_28
| spl2_148
| ~ spl2_26
| spl2_125
| spl2_116 ),
inference(rat,[],[s1670,s1750,s1251,s1553,s1531,s1742,s1372,s1568,s1108,s1192]) ).
cnf(s2088,plain,
( ~ spl2_109
| ~ spl2_10
| spl2_3
| ~ spl2_20 ),
inference(rat,[],[s1896,s1548,s1870,s1842,s1756,s1753,s2087,s348,s1499,s1717,s2026,s1156,s2086,s1309,s909,s1693,s1387,s23,s2084,s497,s287,s379,s2085,s1310,s20,s1546,s540,s1733,s293,s1595,s1376,s1809,s2082,s251,s2,s997,s697,s261,s2031]) ).
cnf(s2089,plain,
( spl2_127
| spl2_148
| ~ spl2_112
| ~ spl2_302
| spl2_142
| ~ spl2_84
| spl2_16
| spl2_28
| spl2_129
| spl2_109
| spl2_116
| spl2_57
| ~ spl2_4 ),
inference(rat,[],[s2068,s1272,s706,s545,s286,s562,s1284,s245,s793,s1463]) ).
cnf(s2090,plain,
( ~ spl2_111
| ~ spl2_127
| ~ spl2_112
| spl2_16
| spl2_28
| ~ spl2_378
| spl2_117
| spl2_109
| spl2_116 ),
inference(rat,[],[s758,s78,s1836,s1840,s358,s2068,s2065,s1153,s1086,s1964,s76,s1284,s2034,s2064,s1463,s544,s1469,s48]) ).
cnf(s2091,plain,
( ~ spl2_127
| ~ spl2_112
| spl2_16
| spl2_28
| ~ spl2_378
| ~ spl2_182
| spl2_117
| spl2_109
| spl2_116
| spl2_57 ),
inference(rat,[],[s1116,s2014,s1022,s1024,s1650,s978,s1551,s1014,s299,s1001,s1508,s778,s1548,s802,s772,s1842,s744,s1685,s1969,s19,s1519,s673,s1526,s758,s669,s243,s706,s2090,s1153,s2052,s245,s793,s1964,s76,s1284,s2034,s2064,s1463,s544,s1469,s48]) ).
cnf(s2092,plain,
( ~ spl2_112
| spl2_16
| spl2_28
| ~ spl2_378
| spl2_117
| spl2_129
| spl2_109
| spl2_116
| spl2_57
| ~ spl2_4 ),
inference(rat,[],[s1234,s2068,s1236,s706,s2089,s286,s2091,s543,s245,s793,s1086,s1964,s76,s1284,s2034,s2064,s1463,s544,s1469,s48]) ).
cnf(s2093,plain,
( spl2_16
| spl2_28
| ~ spl2_378
| spl2_109
| ~ spl2_10
| spl2_116
| spl2_57
| ~ spl2_4 ),
inference(rat,[],[s1063,s1067,s1022,s1650,s392,s1076,s1014,s299,s782,s350,s613,s615,s1156,s2092,s1964,s76,s1086,s245,s1284,s2064,s793,s2034,s2052,s1463,s48,s293,s281,s544,s1469]) ).
cnf(s2094,plain,
( spl2_84
| spl2_184
| ~ spl2_125
| ~ spl2_10 ),
inference(rat,[],[s1822,s545,s358,s419,s562,s1705,s287,s293]) ).
cnf(s2095,plain,
( spl2_147
| ~ spl2_112
| spl2_28
| spl2_109 ),
inference(rat,[],[s1798,s1472,s356]) ).
cnf(s2096,plain,
( ~ spl2_147
| ~ spl2_84
| ~ spl2_16
| ~ spl2_4 ),
inference(rat,[],[s760,s672,s392,s76,s1264,s191,s1284,s381]) ).
cnf(s2097,plain,
( spl2_28
| ~ spl2_378
| spl2_109
| ~ spl2_10
| spl2_116
| spl2_57
| ~ spl2_4 ),
inference(rat,[],[s1957,s1764,s304,s704,s350,s1651,s356,s2096,s2094,s2093,s1469,s543,s293,s544]) ).
cnf(s2098,plain,
( spl2_84
| spl2_9
| ~ spl2_28
| ~ spl2_125
| ~ spl2_10
| spl2_116
| spl2_57
| ~ spl2_4 ),
inference(rat,[],[s1536,s1717,s1156,s2027,s2029,s1748,s358,s1693,s1310,s1836,s20,s1546,s1301,s24,s419,s1387,s51,s2094,s287,s379,s467,s281,s48,s1179,s1727]) ).
cnf(s2099,plain,
( spl2_3
| spl2_2 ),
inference(rat,[],[s1633,s1123,s1432,s706,s744,s1969,s297,s639,s1156,s704,s1536,s743,s304,s1127,s350,s1192,s356,s2096,s2098,s1179,s48,s1727,s23,s2097,s1549,s281,s293,s544,s2088,s2071,s261,s697,s2,s15,s2031]) ).
cnf(s2100,plain,
( ~ spl2_182
| spl2_2 ),
inference(rat,[],[s1613,s1553,s1685,s1125,s1801,s986,s1684,s1108,s1081,s1964,s1027,s1548,s1069,s2066,s2043,s828,s299,s1179,s1633,s499,s776,s1432,s2048,s704,s1156,s1957,s1737,s2039,s654,s466,s1544,s2052,s791,s76,s19,s2055,s706,s1948,s251,s793,s464,s1579,s695,s358,s1822,s740,s12,s1284,s1291,s1336,s23,s15,s578,s465,s5,s2099,s2031]) ).
cnf(s2101,plain,
( ~ spl2_112
| spl2_2 ),
inference(rat,[],[s1630,s1922,s1763,s1918,s310,s828,s2052,s1733,s1634,s649,s706,s1948,s251,s793,s464,s1579,s695,s466,s1544,s562,s1199,s543,s2100,s619,s358,s1822,s740,s12,s1284,s1291,s1336,s23,s15,s578,s465,s5,s2099,s2031]) ).
cnf(s2102,plain,
( ~ spl2_299
| spl2_2 ),
inference(rat,[],[s2009,s1548,s2013,s1842,s1964,s1753,s1544,s76,s706,s1948,s251,s793,s464,s1579,s695,s1198,s358,s1822,s740,s12,s1284,s1291,s1336,s23,s15,s578,s465,s5,s2099,s2031]) ).
cnf(s2103,plain,
spl2_2,
inference(rat,[],[s1041,s1251,s1692,s1670,s1374,s2102,s782,s1472,s348,s1961,s493,s1499,s1156,s2101,s1822,s251,s1284,s740,s793,s1291,s12,s2052,s695,s1336,s23,s578,s1579,s5,s464,s465,s2099,s15,s2031]) ).
cnf(s2105,plain,
( ~ spl2_20
| spl2_3
| spl2_84
| ~ spl2_109 ),
inference(rat,[],[s2051,s2088]) ).
cnf(s2106,plain,
( spl2_16
| spl2_3
| spl2_84
| spl2_28
| ~ spl2_109 ),
inference(rat,[],[s1832,s310,s749,s1962,s782,s1961,s1499,s1156,s2075,s419,s1291,s1292,s1463,s48,s251,s379,s1353,s697,s2031]) ).
cnf(s2107,plain,
( ~ spl2_134
| ~ spl2_112
| spl2_41
| ~ spl2_129 ),
inference(rat,[],[s1630,s1922]) ).
cnf(s2110,plain,
( spl2_299
| ~ spl2_368
| spl2_226
| ~ spl2_131
| spl2_65
| spl2_148
| ~ spl2_59 ),
inference(rat,[],[s1657,s1251,s1268,s1670]) ).
cnf(s2111,plain,
( ~ spl2_299
| spl2_41
| ~ spl2_129
| ~ spl2_31
| spl2_116
| spl2_300
| ~ spl2_109 ),
inference(rat,[],[s1896,s1548,s1870,s1842,s1756,s1753,s251]) ).
cnf(s2112,plain,
( spl2_134
| spl2_299
| ~ spl2_16
| ~ spl2_4
| spl2_135
| spl2_65
| spl2_148
| ~ spl2_59
| spl2_28 ),
inference(rat,[],[s1918,s310,s2110,s1962,s1472,s300,s672]) ).
cnf(s2113,plain,
( spl2_3
| spl2_84
| spl2_28
| ~ spl2_109 ),
inference(rat,[],[s1918,s310,s2110,s1962,s1472,s348,s1961,s1499,s1156,s2107,s2112,s2111,s1733,s1595,s1376,s1809,s2106,s261,s697,s997,s2,s251,s379,s497,s1353,s2041,s2031]) ).
cnf(s2114,plain,
( spl2_84
| spl2_28
| ~ spl2_109 ),
inference(rat,[],[s1463,s4,s5,s464,s2113,s474]) ).
cnf(s2115,plain,
( ~ spl2_112
| ~ spl2_129
| ~ spl2_111
| spl2_16
| spl2_3
| ~ spl2_138
| ~ spl2_84
| spl2_28
| spl2_117 ),
inference(rat,[],[s780,s499,s1472,s356,s392,s815,s2057,s2079,s76,s1284,s1463,s2052,s1733,s1858,s1721,s1760,s1969,s2055,s2103]) ).
cnf(s2116,plain,
( spl2_3
| spl2_28
| ~ spl2_109 ),
inference(rat,[],[s1781,s613,s615,s1156,s2115,s245,s1733,s1858,s1721,s1760,s1375,s1969,s1905,s2055,s2052,s706,s2085,s697,s2,s1948,s366,s251,s370,s76,s1284,s2114,s2103,s2031]) ).
cnf(s2117,plain,
( spl2_28
| ~ spl2_109 ),
inference(rat,[],[s1199,s1760,s1375,s1969,s1905,s2055,s706,s619,s689,s578,s464,s465,s2116,s370,s1948,s76,s366,s1284,s2114,s251,s2103]) ).
cnf(s2118,plain,
( ~ spl2_14
| spl2_16
| ~ spl2_4
| ~ spl2_28 ),
inference(rat,[],[s27,s24,s47]) ).
cnf(s2119,plain,
( ~ spl2_147
| spl2_135
| ~ spl2_112
| spl2_14
| spl2_3
| ~ spl2_202
| ~ spl2_109 ),
inference(rat,[],[s285,s706,s1832,s1383,s245,s1659,s310,s749,s1733,s823,s815,s1781,s2107,s704,s784,s1921,s1957,s1817,s1961,s2,s697,s1375,s1377,s1905,s2103,s2031]) ).
cnf(s2120,plain,
( ~ spl2_139
| ~ spl2_210
| spl2_229 ),
inference(rat,[],[s1370,s1383]) ).
cnf(s2121,plain,
( ~ spl2_127
| ~ spl2_58
| ~ spl2_129
| ~ spl2_138 ),
inference(rat,[],[s619,s1199]) ).
cnf(s2122,plain,
( spl2_248
| ~ spl2_112
| spl2_249
| ~ spl2_138
| ~ spl2_129
| ~ spl2_19
| spl2_116
| spl2_57
| ~ spl2_4
| spl2_229
| spl2_148
| spl2_117 ),
inference(rat,[],[s2121,s243,s286,s426,s706,s2057,s1550,s2120,s245,s853,s1127]) ).
cnf(s2123,plain,
( ~ spl2_112
| spl2_16
| spl2_3
| spl2_84
| ~ spl2_109 ),
inference(rat,[],[s2119,s303,s356,s1192,s2122,s251,s497,s697,s261,s11,s2105,s1377,s1301,s1387,s379,s1852,s1375,s1905,s2118,s2,s2117,s1153,s2103,s2031]) ).
cnf(s2124,plain,
( spl2_16
| spl2_3
| spl2_84
| ~ spl2_109 ),
inference(rat,[],[s524,s76,s706,s419,s1063,s2013,s1351,s1067,s2009,s353,s1254,s1548,s1550,s1055,s1109,s1842,s2120,s1953,s1753,s1127,s2087,s1192,s348,s1961,s1493,s1727,s1499,s1717,s2026,s1156,s2123,s1198,s1377,s1375,s1905,s20,s2118,s251,s497,s1301,s1387,s379,s2117,s2,s697,s261,s2103,s2031]) ).
cnf(s2125,plain,
( ~ spl2_112
| spl2_3
| spl2_84
| ~ spl2_109 ),
inference(rat,[],[s300,s1192,s2107,s2122,s497,s697,s261,s11,s2105,s1733,s1852,s473,s1377,s1905,s540,s1376,s2,s1595,s2124,s251,s1301,s1387,s379,s2117,s2031]) ).
cnf(s2126,plain,
( spl2_3
| spl2_84
| ~ spl2_109 ),
inference(rat,[],[s348,s2087,s1727,s1499,s1717,s2026,s1156,s2125,s2111,s20,s1733,s540,s1595,s1376,s1809,s2124,s261,s697,s997,s2,s251,s2117,s497,s2031]) ).
cnf(s2127,plain,
( spl2_84
| ~ spl2_109 ),
inference(rat,[],[s1364,s828,s1947,s1550,s2026,s1246,s419,s2120,s1720,s1634,s2121,s1127,s1377,s1375,s2027,s1905,s20,s1341,s695,s14,s1789,s578,s4,s1544,s5,s465,s2126,s1301,s1387,s497,s379,s474,s2117,s2103,s2031]) ).
cnf(s2128,plain,
( spl2_148
| ~ spl2_112
| spl2_3
| ~ spl2_109 ),
inference(rat,[],[s1387,s1580,s2122,s1192,s850,s1781,s749,s1832,s310,s2057,s261,s706,s697,s1948,s366,s251,s1144,s20,s11,s23,s48,s1852,s1153,s2121,s1733,s1858,s1721,s1760,s1969,s370,s76,s1284,s1375,s1905,s2118,s2085,s2,s2127,s2117,s2103,s2031]) ).
cnf(s2129,plain,
( spl2_131
| spl2_3
| ~ spl2_109 ),
inference(rat,[],[s704,s823,s1957,s392,s303,s348,s356,s370,s76,s1284,s1659,s1375,s1905,s2118,s2085,s2,s2117,s706,s697,s1948,s366,s2127,s251,s2031,s2103]) ).
cnf(s2130,plain,
( ~ spl2_112
| spl2_3
| ~ spl2_109 ),
inference(rat,[],[s1787,s1634,s1227,s1123,s499,s2128,s706,s697,s1948,s366,s251,s48,s1969,s1375,s1905,s2118,s2085,s2,s2127,s1192,s2129,s2117,s2103,s2031]) ).
cnf(s2131,plain,
( spl2_3
| ~ spl2_109 ),
inference(rat,[],[s1781,s613,s615,s1717,s1156,s2130,s245,s1733,s1858,s1721,s1760,s1375,s1969,s1905,s2118,s2085,s697,s2,s2117,s370,s76,s1284,s2127,s2103,s2031]) ).
cnf(s2132,plain,
~ spl2_109,
inference(rat,[],[s2121,s1760,s1375,s1969,s1905,s2055,s706,s689,s578,s464,s465,s2131,s370,s1948,s76,s366,s1284,s2127,s251,s2103]) ).
cnf(s2134,plain,
spl2_125,
inference(rat,[],[s544,s2132]) ).
cnf(s2135,plain,
( ~ spl2_288
| spl2_41
| spl2_298
| ~ spl2_127
| ~ spl2_119
| spl2_129 ),
inference(rat,[],[s1870,s1686,s1685,s968,s1842,s568,s543]) ).
cnf(s2136,plain,
( ~ spl2_112
| ~ spl2_287
| spl2_41
| spl2_148
| ~ spl2_127
| ~ spl2_16
| spl2_84
| spl2_28
| spl2_3 ),
inference(rat,[],[s704,s1957,s2045,s1802,s2073,s760,s1650,s1816,s672,s1016,s2095,s2,s697,s2041,s358,s1705,s1469,s2132,s2134,s2031]) ).
cnf(s2137,plain,
( spl2_84
| spl2_129
| spl2_28
| spl2_3 ),
inference(rat,[],[s760,s1764,s524,s1499,s1156,s2136,s1548,s2135,s1264,s1003,s1233,s564,s76,s785,s545,s284,s426,s1948,s78,s706,s1840,s358,s418,s235,s2034,s1705,s1353,s697,s1469,s568,s543,s1549,s261,s2132,s2134,s2031]) ).
cnf(s2138,plain,
( ~ spl2_112
| spl2_129
| spl2_28
| spl2_3 ),
inference(rat,[],[s2096,s2095,s2092,s2,s697,s568,s1549,s261,s2137,s2132,s2031]) ).
cnf(s2139,plain,
( spl2_16
| ~ spl2_134
| ~ spl2_113
| ~ spl2_84
| spl2_28 ),
inference(rat,[],[s760,s1760,s392,s1969,s782,s430,s1781,s613,s245,s793,s1463,s48,s1153,s76,s1284,s1717,s2103,s2132]) ).
cnf(s2140,plain,
( ~ spl2_59
| ~ spl2_111
| spl2_28 ),
inference(rat,[],[s1582,s1352,s2132]) ).
cnf(s2141,plain,
( ~ spl2_9
| ~ spl2_121
| spl2_28 ),
inference(rat,[],[s1899,s1336,s2132]) ).
cnf(s2142,plain,
( spl2_299
| ~ spl2_287
| spl2_28 ),
inference(rat,[],[s1901,s1684,s1108,s2132]) ).
cnf(s2143,plain,
( ~ spl2_287
| ~ spl2_111
| ~ spl2_138
| ~ spl2_84
| spl2_28 ),
inference(rat,[],[s2009,s2013,s1964,s2142,s76,s1284,s1198]) ).
cnf(s2144,plain,
( spl2_129
| spl2_28
| spl2_3 ),
inference(rat,[],[s1251,s1619,s1670,s1668,s1964,s1686,s1870,s1685,s1394,s1842,s1548,s2143,s706,s493,s358,s524,s1802,s1472,s356,s760,s1264,s191,s2096,s381,s2139,s1764,s1499,s1156,s2138,s76,s1284,s2137,s543,s568,s2,s697,s261,s2031]) ).
cnf(s2145,plain,
( ~ spl2_112
| spl2_135
| ~ spl2_129
| spl2_28
| ~ spl2_4 ),
inference(rat,[],[s1781,s2107,s1818,s672,s2095,s1902,s1469,s2132,s2134]) ).
cnf(s2146,plain,
( ~ spl2_287
| spl2_41
| ~ spl2_31
| ~ spl2_129
| spl2_28
| spl2_300 ),
inference(rat,[],[s1896,s1870,s1756,s2142]) ).
cnf(s2147,plain,
( spl2_84
| spl2_28
| spl2_3 ),
inference(rat,[],[s1116,s1874,s1022,s1756,s2046,s971,s1548,s2146,s1781,s1816,s1818,s672,s1962,s1650,s1550,s1018,s1918,s524,s1501,s1156,s2145,s76,s426,s706,s2140,s1705,s2041,s1353,s379,s2,s997,s697,s261,s1809,s1902,s2144,s1469,s2134,s2132,s2031]) ).
cnf(s2148,plain,
( spl2_28
| spl2_3 ),
inference(rat,[],[s1963,s1254,s1108,s1518,s1756,s1681,s1519,s749,s1343,s1526,s1148,s857,s1638,s1233,s1802,s1842,s700,s1499,s1548,s358,s567,s958,s953,s1156,s2146,s2121,s1150,s2095,s1264,s191,s76,s2096,s381,s1284,s2147,s11,s2033,s1809,s1902,s293,s2144,s1469,s2,s997,s697,s261,s2132,s2134,s2031]) ).
cnf(s2149,plain,
( ~ spl2_110
| spl2_119 ),
inference(rat,[],[s284,s426]) ).
cnf(s2150,plain,
( ~ spl2_112
| ~ spl2_111
| ~ spl2_143
| ~ spl2_114 ),
inference(rat,[],[s1633,s828,s1432]) ).
cnf(s2151,plain,
( spl2_84
| spl2_117
| spl2_3 ),
inference(rat,[],[s1536,s1717,s1156,s2150,s706,s2149,s1550,s704,s2120,s743,s1127,s2027,s1748,s20,s1718,s556,s566,s358,s1836,s1246,s1301,s1387,s379,s697,s261,s1179,s1727,s2148,s2134,s2031]) ).
cnf(s2152,plain,
( ~ spl2_147
| ~ spl2_138
| spl2_14
| ~ spl2_112
| ~ spl2_84 ),
inference(rat,[],[s749,s1781,s1832,s760,s310,s1921,s814,s815,s1817,s392,s76,s1284,s1760,s1969,s2103]) ).
cnf(s2153,plain,
( spl2_248
| ~ spl2_201
| ~ spl2_112
| spl2_117
| spl2_3 ),
inference(rat,[],[s704,s1633,s743,s1123,s1127,s1432,s706,s744,s1727,s2148,s697,s2031,s2134]) ).
cnf(s2154,plain,
( spl2_16
| ~ spl2_112
| spl2_129
| spl2_3 ),
inference(rat,[],[s78,s1264,s1840,s760,s2152,s392,s850,s356,s1192,s2153,s1760,s1144,s1969,s20,s23,s2118,s48,s2,s2148,s1549,s261,s76,s1284,s2151,s568,s2103,s2031]) ).
cnf(s2155,plain,
( ~ spl2_112
| spl2_129
| spl2_3 ),
inference(rat,[],[s1969,s2153,s297,s1192,s356,s2096,s2154,s639,s2,s2148,s2151,s568,s2134]) ).
cnf(s2156,plain,
( spl2_129
| spl2_3 ),
inference(rat,[],[s2118,s1817,s2096,s356,s1192,s1536,s1972,s1717,s1156,s2155,s2151,s568,s2,s697,s1179,s1727,s2148,s2134,s2031]) ).
cnf(s2157,plain,
( spl2_84
| ~ spl2_112
| spl2_3 ),
inference(rat,[],[s2120,s310,s1127,s2150,s2027,s706,s1748,s20,s2149,s1718,s556,s704,s1246,s567,s1797,s1387,s2151,s379,s697,s261,s1727,s2148,s595,s2156,s2134,s2031]) ).
cnf(s2158,plain,
( spl2_16
| spl2_117
| ~ spl2_112
| spl2_3 ),
inference(rat,[],[s850,s1799,s1192,s2153,s1144,s1969,s20,s1747,s23,s2118,s1902,s48,s2,s2148,s2156,s2157,s2134]) ).
cnf(s2159,plain,
( spl2_117
| ~ spl2_112
| spl2_3 ),
inference(rat,[],[s1969,s2153,s297,s1192,s356,s2096,s2158,s2,s2148,s639,s2157,s2134]) ).
cnf(s2160,plain,
( ~ spl2_112
| spl2_3 ),
inference(rat,[],[s1633,s1123,s1432,s1192,s706,s356,s744,s2152,s1969,s557,s547,s704,s567,s1797,s2159,s2157,s697,s1727,s2148,s2132,s2134,s2031]) ).
cnf(s2161,plain,
spl2_3,
inference(rat,[],[s25,s24,s1817,s356,s1192,s1536,s1972,s1717,s1156,s2160,s293,s2156,s1179,s1727,s2148,s697,s2,s2134,s2031]) ).
cnf(s2163,plain,
spl2_44,
inference(rat,[],[s465,s2161]) ).
cnf(s2164,plain,
~ spl2_16,
inference(rat,[],[s464,s2161]) ).
cnf(s2165,plain,
spl2_9,
inference(rat,[],[s5,s2161]) ).
cnf(s2166,plain,
~ spl2_116,
inference(rat,[],[s1544,s2031,s2161]) ).
cnf(s2170,plain,
spl2_121,
inference(rat,[],[s1579,s2163]) ).
cnf(s2171,plain,
spl2_58,
inference(rat,[],[s578,s2163]) ).
cnf(s2172,plain,
~ spl2_33,
inference(rat,[],[s722,s2134,s2163]) ).
cnf(s2174,plain,
spl2_8,
inference(rat,[],[s793,s2132,s2164,s2170]) ).
cnf(s2175,plain,
spl2_28,
inference(rat,[],[s2141,s2165,s2170]) ).
cnf(s2177,plain,
~ spl2_57,
inference(rat,[],[s695,s2031,s2171]) ).
cnf(s2178,plain,
~ spl2_14,
inference(rat,[],[s583,s2163,s2164,s2172]) ).
cnf(s2179,plain,
spl2_367,
inference(rat,[],[s1341,s2171,s2174]) ).
cnf(s2180,plain,
~ spl2_209,
inference(rat,[],[s1727,s2134,s2175]) ).
cnf(s2186,plain,
spl2_26,
inference(rat,[],[s20,s2178]) ).
cnf(s2188,plain,
spl2_338,
inference(rat,[],[s1179,s2180]) ).
cnf(s2191,plain,
( spl2_229
| ~ spl2_112 ),
inference(rat,[],[s743,s1797,s704,s2150,s1550,s2120,s706,s1127,s2149,s2027,s1246,s2180,s2177,s2166,s2179,s2175,s2186]) ).
cnf(s2192,plain,
~ spl2_229,
inference(rat,[],[s392,s356,s1343,s1192,s76,s1580,s106,s379,s1465,s1387,s2179,s2175,s2186,s2166,s2163,s2174]) ).
cnf(s2199,plain,
~ spl2_248,
inference(rat,[],[s2027,s2186,s2166,s2175,s2179,s2192]) ).
cnf(s2202,plain,
~ spl2_112,
inference(rat,[],[s2191,s2192]) ).
cnf(s2207,plain,
spl2_113,
inference(rat,[],[s1156,s2177,s2202]) ).
cnf(s2211,plain,
~ spl2_135,
inference(rat,[],[s1717,s2207]) ).
cnf(s2215,plain,
$false,
inference(rat,[],[s1536,s2188,s2199,s2207,s2211]) ).
thf(f18907,plain,
$false,
inference(avatar_sat_refutation,[],[s2215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA109^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 18:57:11 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.37 % (3779327)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.37 % (3779337)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3298109694:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.37 % (3779338)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.37 % (3779338)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
% 0.21/0.37 % (3779334)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4147782175:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.37 % (3779332)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1872942455:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.37 % (3779333)lrs+10_16_si=on:nwc=1.5:random_seed=4203519678:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (3779336)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=63629084:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.37 % (3779335)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=499241490: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)
% 0.21/0.37 % (3779338)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=3374316425:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.37 % (3779334)Instruction limit reached!
% 0.21/0.37 % (3779334)------------------------------
% 0.21/0.37 % (3779334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (3779334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (3779334)CaDiCaL version: 2.1.3
% 0.21/0.37 % (3779334)Termination reason: Instruction limit
% 0.21/0.37 % (3779334)Termination phase: Saturation
% 0.21/0.37 % (3779334)Time elapsed: 0.003 s
% 0.21/0.37 % (3779334)Peak memory usage: 12 MB
% 0.21/0.37 % (3779334)Instructions burned: 4 (million)
% 0.21/0.37 % (3779333)Instruction limit reached!
% 0.21/0.37 % (3779333)------------------------------
% 0.21/0.37 % (3779333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (3779333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (3779333)CaDiCaL version: 2.1.3
% 0.21/0.37 % (3779333)Termination reason: Instruction limit
% 0.21/0.37 % (3779333)Termination phase: Saturation
% 0.21/0.37 % (3779333)Time elapsed: 0.010 s
% 0.21/0.37 % (3779333)Peak memory usage: 12 MB
% 0.21/0.37 % (3779333)Instructions burned: 20 (million)
% 0.21/0.37 % (3779337)Instruction limit reached!
% 0.21/0.37 % (3779337)------------------------------
% 0.21/0.37 % (3779337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (3779337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (3779337)CaDiCaL version: 2.1.3
% 0.21/0.37 % (3779337)Termination reason: Instruction limit
% 0.21/0.37 % (3779337)Termination phase: Saturation
% 0.21/0.37 % (3779337)Time elapsed: 0.020 s
% 0.21/0.37 % (3779337)Peak memory usage: 12 MB
% 0.21/0.37 % (3779337)Instructions burned: 76 (million)
% 0.21/0.37 % (3779336)Instruction limit reached!
% 0.21/0.37 % (3779336)------------------------------
% 0.21/0.37 % (3779336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (3779336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (3779336)CaDiCaL version: 2.1.3
% 0.21/0.37 % (3779336)Termination reason: Instruction limit
% 0.21/0.37 % (3779336)Termination phase: Saturation
% 0.21/0.37 % (3779336)Time elapsed: 0.015 s
% 0.21/0.37 % (3779336)Peak memory usage: 12 MB
% 0.21/0.37 % (3779336)Instructions burned: 26 (million)
% 0.21/0.37 % (3779348)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.37 % (3779346)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=249837077:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.80/0.39 % (3779348)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=883009872:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.80/0.39 % (3779346)Instruction limit reached!
% 0.80/0.39 % (3779346)------------------------------
% 0.80/0.39 % (3779346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (3779346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (3779346)CaDiCaL version: 2.1.3
% 0.80/0.39 % (3779346)Termination reason: Instruction limit
% 0.80/0.39 % (3779346)Termination phase: Saturation
% 0.80/0.39 % (3779346)Time elapsed: 0.002 s
% 0.80/0.39 % (3779346)Peak memory usage: 12 MB
% 0.80/0.39 % (3779346)Instructions burned: 2 (million)
% 0.80/0.39 % (3779348)Instruction limit reached!
% 0.80/0.39 % (3779348)------------------------------
% 0.80/0.39 % (3779348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (3779348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (3779348)CaDiCaL version: 2.1.3
% 0.80/0.39 % (3779348)Termination reason: Instruction limit
% 0.80/0.39 % (3779348)Termination phase: Saturation
% 0.80/0.39 % (3779348)Time elapsed: 0.003 s
% 0.80/0.39 % (3779348)Peak memory usage: 12 MB
% 0.80/0.39 % (3779348)Instructions burned: 10 (million)
% 0.80/0.39 % (3779347)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=536072860:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.80/0.39 % (3779349)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1214062762:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.80/0.39 % (3779347)Instruction limit reached!
% 0.80/0.39 % (3779347)------------------------------
% 0.80/0.39 % (3779347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (3779347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (3779347)CaDiCaL version: 2.1.3
% 0.80/0.39 % (3779347)Termination reason: Instruction limit
% 0.80/0.39 % (3779347)Termination phase: Saturation
% 0.80/0.39 % (3779347)Time elapsed: 0.004 s
% 0.80/0.39 % (3779347)Peak memory usage: 12 MB
% 0.80/0.39 % (3779347)Instructions burned: 6 (million)
% 0.80/0.39 % (3779353)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=767026667:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.80/0.39 % (3779332)Instruction limit reached!
% 0.80/0.39 % (3779332)------------------------------
% 0.80/0.39 % (3779332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (3779332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (3779332)CaDiCaL version: 2.1.3
% 0.80/0.39 % (3779332)Termination reason: Instruction limit
% 0.80/0.39 % (3779332)Termination phase: Saturation
% 0.80/0.39 % (3779332)Time elapsed: 0.039 s
% 0.80/0.39 % (3779332)Peak memory usage: 12 MB
% 0.80/0.39 % (3779332)Instructions burned: 88 (million)
% 0.80/0.39 % (3779352)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
% 0.80/0.39 % (3779352)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.80/0.39 % (3779349)Instruction limit reached!
% 0.80/0.39 % (3779349)------------------------------
% 0.80/0.39 % (3779349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (3779349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (3779349)CaDiCaL version: 2.1.3
% 0.80/0.39 % (3779349)Termination reason: Instruction limit
% 0.80/0.39 % (3779349)Termination phase: Saturation
% 0.80/0.39 % (3779349)Time elapsed: 0.008 s
% 0.80/0.39 % (3779349)Peak memory usage: 12 MB
% 0.80/0.39 % (3779349)Instructions burned: 14 (million)
% 0.80/0.39 % (3779352)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3079037555:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.80/0.39 % (3779356)lrs+10_1_si=on:cs=on:random_seed=1035084537:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.80/0.39 % (3779356)Instruction limit reached!
% 0.80/0.41 % (3779356)------------------------------
% 0.80/0.41 % (3779356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3779356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3779356)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3779356)Termination reason: Instruction limit
% 0.80/0.41 % (3779356)Termination phase: Saturation
% 0.80/0.41 % (3779356)Time elapsed: 0.005 s
% 0.80/0.41 % (3779356)Peak memory usage: 12 MB
% 0.80/0.41 % (3779356)Instructions burned: 9 (million)
% 0.80/0.41 % (3779352)Instruction limit reached!
% 0.80/0.41 % (3779352)------------------------------
% 0.80/0.41 % (3779352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3779352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3779352)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3779352)Termination reason: Instruction limit
% 0.80/0.41 % (3779352)Termination phase: Saturation
% 0.80/0.41 % (3779352)Time elapsed: 0.015 s
% 0.80/0.41 % (3779352)Peak memory usage: 12 MB
% 0.80/0.41 % (3779352)Instructions burned: 30 (million)
% 0.80/0.41 % (3779353)Instruction limit reached!
% 0.80/0.41 % (3779353)------------------------------
% 0.80/0.41 % (3779353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3779353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3779353)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3779353)Termination reason: Instruction limit
% 0.80/0.41 % (3779353)Termination phase: Saturation
% 0.80/0.41 % (3779353)Time elapsed: 0.022 s
% 0.80/0.41 % (3779353)Peak memory usage: 13 MB
% 0.80/0.41 % (3779353)Instructions burned: 86 (million)
% 0.80/0.41 % (3779359)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3811487004:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.80/0.41 % (3779359)Refutation not found, incomplete strategy
% 0.80/0.41 % (3779359)------------------------------
% 0.80/0.41 % (3779359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3779359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3779359)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3779359)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.41 % (3779359)Time elapsed: 0.001 s
% 0.80/0.41 % (3779359)Peak memory usage: 12 MB
% 0.80/0.41 % (3779359)------------------------------
% 0.80/0.41 % (3779359)------------------------------
% 0.80/0.41 % (3779358)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.80/0.41 % (3779338)Instruction limit reached!
% 0.80/0.41 % (3779338)------------------------------
% 0.80/0.41 % (3779338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3779338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3779338)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3779338)Termination reason: Instruction limit
% 0.80/0.41 % (3779338)Termination phase: Saturation
% 0.80/0.41 % (3779338)Time elapsed: 0.067 s
% 0.80/0.41 % (3779338)Peak memory usage: 12 MB
% 0.80/0.41 % (3779338)Instructions burned: 159 (million)
% 0.80/0.41 % (3779358)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=4103891562:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.80/0.41 % (3779358)Instruction limit reached!
% 0.80/0.41 % (3779358)------------------------------
% 0.80/0.41 % (3779358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3779358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3779358)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3779358)Termination reason: Instruction limit
% 0.80/0.41 % (3779358)Termination phase: Saturation
% 0.80/0.41 % (3779358)Time elapsed: 0.001 s
% 0.80/0.41 % (3779358)Peak memory usage: 10 MB
% 0.80/0.41 % (3779358)Instructions burned: 2 (million)
% 0.80/0.41 % (3779362)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2011608925:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.80/0.41 % (3779362)Refutation not found, incomplete strategy
% 0.80/0.41 % (3779362)------------------------------
% 0.80/0.41 % (3779362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3779362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45 % (3779362)CaDiCaL version: 2.1.3
% 0.80/0.45 % (3779362)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.45 % (3779362)Time elapsed: 0.001 s
% 0.80/0.45 % (3779362)Peak memory usage: 12 MB
% 0.80/0.45 % (3779362)Instructions burned: 1 (million)
% 0.80/0.45 % (3779362)------------------------------
% 0.80/0.45 % (3779362)------------------------------
% 0.80/0.45 % (3779365)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3216545677:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.80/0.45 % (3779364)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2412289097:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.80/0.45 % (3779364)Refutation not found, incomplete strategy
% 0.80/0.45 % (3779364)------------------------------
% 0.80/0.45 % (3779364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45 % (3779364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45 % (3779364)CaDiCaL version: 2.1.3
% 0.80/0.45 % (3779364)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.45 % (3779364)Time elapsed: 0.001 s
% 0.80/0.45 % (3779364)Peak memory usage: 11 MB
% 0.80/0.45 % (3779364)Instructions burned: 1 (million)
% 0.80/0.45 % (3779364)------------------------------
% 0.80/0.45 % (3779364)------------------------------
% 0.80/0.45 % (3779366)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4165868476:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.80/0.45 % (3779366)Refutation not found, incomplete strategy
% 0.80/0.45 % (3779366)------------------------------
% 0.80/0.45 % (3779366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45 % (3779366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45 % (3779366)CaDiCaL version: 2.1.3
% 0.80/0.45 % (3779366)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.45 % (3779366)Time elapsed: 0.001 s
% 0.80/0.45 % (3779366)Peak memory usage: 11 MB
% 0.80/0.45 % (3779366)Instructions burned: 1 (million)
% 0.80/0.45 % (3779367)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1285305822:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.80/0.45 % (3779366)------------------------------
% 0.80/0.45 % (3779366)------------------------------
% 0.80/0.45 % (3779369)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2912092010:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.80/0.45 % (3779365)Instruction limit reached!
% 0.80/0.45 % (3779365)------------------------------
% 0.80/0.45 % (3779365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45 % (3779365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45 % (3779365)CaDiCaL version: 2.1.3
% 0.80/0.45 % (3779365)Termination reason: Instruction limit
% 0.80/0.45 % (3779365)Termination phase: Saturation
% 0.80/0.45 % (3779365)Time elapsed: 0.009 s
% 0.80/0.45 % (3779365)Peak memory usage: 12 MB
% 0.80/0.45 % (3779365)Instructions burned: 15 (million)
% 0.80/0.45 % (3779369)Refutation not found, incomplete strategy
% 0.80/0.45 % (3779369)------------------------------
% 0.80/0.45 % (3779369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45 % (3779369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45 % (3779369)CaDiCaL version: 2.1.3
% 0.80/0.45 % (3779369)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.45 % (3779369)Time elapsed: 0.001 s
% 0.80/0.45 % (3779369)Peak memory usage: 11 MB
% 0.80/0.45 % (3779369)------------------------------
% 0.80/0.45 % (3779369)------------------------------
% 0.80/0.45 % (3779371)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=587936843:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.80/0.45 % (3779367)Instruction limit reached!
% 0.80/0.45 % (3779367)------------------------------
% 0.80/0.45 % (3779367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.45 % (3779367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.45 % (3779367)CaDiCaL version: 2.1.3
% 0.80/0.45 % (3779367)Termination reason: Instruction limit
% 1.49/0.47 % (3779367)Termination phase: Saturation
% 1.49/0.47 % (3779367)Time elapsed: 0.008 s
% 1.49/0.47 % (3779367)Peak memory usage: 11 MB
% 1.49/0.47 % (3779367)Instructions burned: 14 (million)
% 1.49/0.47 % (3779379)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.49/0.47 % (3779379)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.49/0.47 % (3779379)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=3897298773:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.49/0.47 % (3779374)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=431391027:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.49/0.47 % (3779379)Instruction limit reached!
% 1.49/0.47 % (3779379)------------------------------
% 1.49/0.47 % (3779379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.47 % (3779379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.47 % (3779379)CaDiCaL version: 2.1.3
% 1.49/0.47 % (3779379)Termination reason: Instruction limit
% 1.49/0.47 % (3779379)Termination phase: Saturation
% 1.49/0.47 % (3779379)Time elapsed: 0.005 s
% 1.49/0.47 % (3779379)Peak memory usage: 12 MB
% 1.49/0.47 % (3779379)Instructions burned: 17 (million)
% 1.49/0.47 % (3779380)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.49/0.47 % (3779377)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3124850522:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.49/0.47 % (3779380)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=625224226:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.49/0.47 % (3779371)Instruction limit reached!
% 1.49/0.47 % (3779371)------------------------------
% 1.49/0.47 % (3779371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.47 % (3779371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.47 % (3779371)CaDiCaL version: 2.1.3
% 1.49/0.47 % (3779371)Termination reason: Instruction limit
% 1.49/0.47 % (3779371)Termination phase: Saturation
% 1.49/0.47 % (3779371)Time elapsed: 0.015 s
% 1.49/0.47 % (3779371)Peak memory usage: 12 MB
% 1.49/0.47 % (3779371)Instructions burned: 26 (million)
% 1.49/0.47 % (3779374)Instruction limit reached!
% 1.49/0.47 % (3779374)------------------------------
% 1.49/0.47 % (3779374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.47 % (3779374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.47 % (3779374)CaDiCaL version: 2.1.3
% 1.49/0.47 % (3779374)Termination reason: Instruction limit
% 1.49/0.47 % (3779374)Termination phase: Saturation
% 1.49/0.47 % (3779374)Time elapsed: 0.011 s
% 1.49/0.47 % (3779374)Peak memory usage: 11 MB
% 1.49/0.47 % (3779374)Instructions burned: 24 (million)
% 1.49/0.47 % (3779382)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=1538387864:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.49/0.47 % (3779380)Instruction limit reached!
% 1.49/0.47 % (3779380)------------------------------
% 1.49/0.47 % (3779380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.47 % (3779380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.47 % (3779380)CaDiCaL version: 2.1.3
% 1.49/0.47 % (3779380)Termination reason: Instruction limit
% 1.49/0.47 % (3779380)Termination phase: Saturation
% 1.49/0.47 % (3779380)Time elapsed: 0.006 s
% 1.49/0.47 % (3779380)Peak memory usage: 12 MB
% 1.49/0.47 % (3779380)Instructions burned: 9 (million)
% 1.49/0.47 % (3779385)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2546961260:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.49/0.47 % (3779385)Instruction limit reached!
% 1.49/0.47 % (3779385)------------------------------
% 1.49/0.47 % (3779385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.50 % (3779385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.50 % (3779385)CaDiCaL version: 2.1.3
% 1.49/0.50 % (3779385)Termination reason: Instruction limit
% 1.49/0.50 % (3779385)Termination phase: Saturation
% 1.49/0.50 % (3779385)Time elapsed: 0.003 s
% 1.49/0.50 % (3779385)Peak memory usage: 12 MB
% 1.49/0.50 % (3779385)Instructions burned: 11 (million)
% 1.49/0.50 % (3779395)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1828032868:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.49/0.50 % (3779388)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1984182408:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.49/0.50 % (3779389)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2379040959:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.49/0.50 % (3779382)Instruction limit reached!
% 1.49/0.50 % (3779382)------------------------------
% 1.49/0.50 % (3779382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.50 % (3779382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.50 % (3779382)CaDiCaL version: 2.1.3
% 1.49/0.50 % (3779382)Termination reason: Instruction limit
% 1.49/0.50 % (3779382)Termination phase: Saturation
% 1.49/0.50 % (3779382)Time elapsed: 0.016 s
% 1.49/0.50 % (3779382)Peak memory usage: 12 MB
% 1.49/0.50 % (3779382)Instructions burned: 32 (million)
% 1.49/0.50 % (3779392)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2468802193:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.49/0.50 % (3779377)Instruction limit reached!
% 1.49/0.50 % (3779377)------------------------------
% 1.49/0.50 % (3779377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.50 % (3779377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.50 % (3779377)CaDiCaL version: 2.1.3
% 1.49/0.50 % (3779377)Termination reason: Instruction limit
% 1.49/0.50 % (3779377)Termination phase: Saturation
% 1.49/0.50 % (3779377)Time elapsed: 0.034 s
% 1.49/0.50 % (3779377)Peak memory usage: 12 MB
% 1.49/0.50 % (3779377)Instructions burned: 61 (million)
% 1.49/0.50 % (3779388)Instruction limit reached!
% 1.49/0.50 % (3779388)------------------------------
% 1.49/0.50 % (3779388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.50 % (3779388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.50 % (3779388)CaDiCaL version: 2.1.3
% 1.49/0.50 % (3779388)Termination reason: Instruction limit
% 1.49/0.50 % (3779388)Termination phase: Saturation
% 1.49/0.50 % (3779388)Time elapsed: 0.010 s
% 1.49/0.50 % (3779388)Peak memory usage: 12 MB
% 1.49/0.50 % (3779388)Instructions burned: 25 (million)
% 1.49/0.50 % (3779389)Instruction limit reached!
% 1.49/0.50 % (3779389)------------------------------
% 1.49/0.50 % (3779389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.50 % (3779389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.50 % (3779389)CaDiCaL version: 2.1.3
% 1.49/0.50 % (3779389)Termination reason: Instruction limit
% 1.49/0.50 % (3779389)Termination phase: Saturation
% 1.49/0.50 % (3779389)Time elapsed: 0.013 s
% 1.49/0.50 % (3779389)Peak memory usage: 12 MB
% 1.49/0.50 % (3779389)Instructions burned: 21 (million)
% 1.49/0.50 % (3779404)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1970367508:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.49/0.50 % (3779404)Refutation not found, incomplete strategy
% 1.49/0.50 % (3779404)------------------------------
% 1.49/0.50 % (3779404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.50 % (3779404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.50 % (3779404)CaDiCaL version: 2.1.3
% 1.49/0.50 % (3779404)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.50 % (3779404)Time elapsed: 0.001 s
% 1.49/0.50 % (3779404)Peak memory usage: 11 MB
% 1.49/0.50 % (3779404)Instructions burned: 1 (million)
% 1.49/0.50 % (3779404)------------------------------
% 1.49/0.50 % (3779404)------------------------------
% 1.49/0.50 % (3779410)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.49/0.50 % (3779395)Instruction limit reached!
% 1.49/0.50 % (3779395)------------------------------
% 1.49/0.57 % (3779395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.57 % (3779395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.57 % (3779395)CaDiCaL version: 2.1.3
% 1.49/0.57 % (3779395)Termination reason: Instruction limit
% 1.49/0.57 % (3779395)Termination phase: Saturation
% 1.49/0.57 % (3779395)Time elapsed: 0.027 s
% 1.49/0.57 % (3779395)Peak memory usage: 13 MB
% 1.49/0.57 % (3779395)Instructions burned: 146 (million)
% 1.49/0.57 % (3779408)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=840312644:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.49/0.57 % (3779410)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3750469770:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.49/0.57 % (3779412)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=848510487:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.49/0.57 % (3779412)Refutation not found, incomplete strategy
% 1.49/0.57 % (3779412)------------------------------
% 1.49/0.57 % (3779412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.57 % (3779412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.57 % (3779412)CaDiCaL version: 2.1.3
% 1.49/0.57 % (3779412)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.57 % (3779412)Time elapsed: 0.001 s
% 1.49/0.57 % (3779412)Peak memory usage: 11 MB
% 1.49/0.57 % (3779412)Instructions burned: 1 (million)
% 1.49/0.57 % (3779412)------------------------------
% 1.49/0.57 % (3779412)------------------------------
% 1.49/0.57 % (3779410)Instruction limit reached!
% 1.49/0.57 % (3779410)------------------------------
% 1.49/0.57 % (3779410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.57 % (3779410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.57 % (3779410)CaDiCaL version: 2.1.3
% 1.49/0.57 % (3779410)Termination reason: Instruction limit
% 1.49/0.57 % (3779410)Termination phase: Saturation
% 1.49/0.57 % (3779410)Time elapsed: 0.005 s
% 1.49/0.57 % (3779410)Peak memory usage: 12 MB
% 1.49/0.57 % (3779410)Instructions burned: 8 (million)
% 1.49/0.57 % (3779419)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.49/0.57 % (3779419)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=69539544:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.49/0.57 % (3779419)Refutation not found, incomplete strategy
% 1.49/0.57 % (3779419)------------------------------
% 1.49/0.57 % (3779419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.57 % (3779419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.57 % (3779419)CaDiCaL version: 2.1.3
% 1.49/0.57 % (3779419)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.57 % (3779419)Time elapsed: 0.0000 s
% 1.49/0.57 % (3779419)Peak memory usage: 11 MB
% 1.49/0.57 % (3779419)Instructions burned: 1 (million)
% 1.49/0.57 % (3779419)------------------------------
% 1.49/0.57 % (3779419)------------------------------
% 1.49/0.57 % (3779417)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=420561095:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.49/0.57 % (3779417)Refutation not found, incomplete strategy
% 1.49/0.57 % (3779417)------------------------------
% 1.49/0.57 % (3779417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.57 % (3779417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.57 % (3779417)CaDiCaL version: 2.1.3
% 1.49/0.57 % (3779417)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.57 % (3779417)Time elapsed: 0.001 s
% 1.49/0.57 % (3779417)Peak memory usage: 12 MB
% 1.49/0.57 % (3779417)Instructions burned: 1 (million)
% 1.49/0.57 % (3779417)------------------------------
% 1.49/0.57 % (3779417)------------------------------
% 1.49/0.57 % (3779408)Instruction limit reached!
% 1.49/0.57 % (3779408)------------------------------
% 1.49/0.57 % (3779408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.57 % (3779408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.61 % (3779408)CaDiCaL version: 2.1.3
% 2.22/0.61 % (3779428)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=3989633187:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.22/0.61 % (3779408)Termination reason: Instruction limit
% 2.22/0.61 % (3779408)Termination phase: Saturation
% 2.22/0.61 % (3779408)Time elapsed: 0.021 s
% 2.22/0.61 % (3779408)Peak memory usage: 12 MB
% 2.22/0.61 % (3779408)Instructions burned: 42 (million)
% 2.22/0.61 % (3779425)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4032112175:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.22/0.61 % (3779426)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=826499992:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.22/0.61 % (3779426)Refutation not found, incomplete strategy
% 2.22/0.61 % (3779426)------------------------------
% 2.22/0.61 % (3779426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.61 % (3779426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.61 % (3779426)CaDiCaL version: 2.1.3
% 2.22/0.61 % (3779426)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.61 % (3779426)Time elapsed: 0.002 s
% 2.22/0.61 % (3779426)Peak memory usage: 13 MB
% 2.22/0.61 % (3779426)Instructions burned: 3 (million)
% 2.22/0.61 % (3779426)------------------------------
% 2.22/0.61 % (3779426)------------------------------
% 2.22/0.61 % (3779431)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=1827578450:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.22/0.61 % (3779425)Instruction limit reached!
% 2.22/0.61 % (3779425)------------------------------
% 2.22/0.61 % (3779425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.61 % (3779425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.61 % (3779425)CaDiCaL version: 2.1.3
% 2.22/0.61 % (3779425)Termination reason: Instruction limit
% 2.22/0.61 % (3779425)Termination phase: Saturation
% 2.22/0.61 % (3779425)Time elapsed: 0.011 s
% 2.22/0.61 % (3779425)Peak memory usage: 12 MB
% 2.22/0.61 % (3779425)Instructions burned: 22 (million)
% 2.22/0.61 % (3779436)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=2758472944:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.22/0.61 % (3779335)Instruction limit reached!
% 2.22/0.61 % (3779335)------------------------------
% 2.22/0.61 % (3779335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.61 % (3779335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.61 % (3779335)CaDiCaL version: 2.1.3
% 2.22/0.61 % (3779335)Termination reason: Instruction limit
% 2.22/0.61 % (3779335)Termination phase: Saturation
% 2.22/0.61 % (3779335)Time elapsed: 0.207 s
% 2.22/0.61 % (3779335)Peak memory usage: 13 MB
% 2.22/0.61 % (3779335)Instructions burned: 634 (million)
% 2.22/0.61 % (3779441)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1856537775:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.22/0.61 % (3779441)Refutation not found, incomplete strategy
% 2.22/0.61 % (3779441)------------------------------
% 2.22/0.61 % (3779441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.61 % (3779441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.61 % (3779441)CaDiCaL version: 2.1.3
% 2.22/0.61 % (3779441)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.61 % (3779441)Time elapsed: 0.001 s
% 2.22/0.61 % (3779441)Peak memory usage: 12 MB
% 2.22/0.61 % (3779441)Instructions burned: 1 (million)
% 2.22/0.61 % (3779441)------------------------------
% 2.22/0.61 % (3779441)------------------------------
% 2.22/0.61 % (3779446)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3179214509:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.59/0.65 % (3779451)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.59/0.65 % (3779451)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=860114342:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.59/0.65 % (3779446)Instruction limit reached!
% 2.59/0.65 % (3779446)------------------------------
% 2.59/0.65 % (3779446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.65 % (3779446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.65 % (3779446)CaDiCaL version: 2.1.3
% 2.59/0.65 % (3779446)Termination reason: Instruction limit
% 2.59/0.65 % (3779446)Termination phase: Saturation
% 2.59/0.65 % (3779446)Time elapsed: 0.012 s
% 2.59/0.65 % (3779446)Peak memory usage: 12 MB
% 2.59/0.65 % (3779446)Instructions burned: 22 (million)
% 2.59/0.65 % (3779436)Instruction limit reached!
% 2.59/0.65 % (3779436)------------------------------
% 2.59/0.65 % (3779436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.65 % (3779436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.65 % (3779436)CaDiCaL version: 2.1.3
% 2.59/0.65 % (3779436)Termination reason: Instruction limit
% 2.59/0.65 % (3779436)Termination phase: Saturation
% 2.59/0.65 % (3779436)Time elapsed: 0.026 s
% 2.59/0.65 % (3779436)Peak memory usage: 12 MB
% 2.59/0.65 % (3779436)Instructions burned: 46 (million)
% 2.59/0.65 % (3779456)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2167977862:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.59/0.65 % (3779456)Instruction limit reached!
% 2.59/0.65 % (3779456)------------------------------
% 2.59/0.65 % (3779456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.65 % (3779456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.65 % (3779456)CaDiCaL version: 2.1.3
% 2.59/0.65 % (3779456)Termination reason: Instruction limit
% 2.59/0.65 % (3779456)Termination phase: Saturation
% 2.59/0.65 % (3779456)Time elapsed: 0.008 s
% 2.59/0.65 % (3779456)Peak memory usage: 12 MB
% 2.59/0.65 % (3779456)Instructions burned: 13 (million)
% 2.59/0.65 % (3779466)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=3725811904:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.59/0.65 % (3779468)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2299727632:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.59/0.65 % (3779468)Refutation not found, incomplete strategy
% 2.59/0.65 % (3779468)------------------------------
% 2.59/0.65 % (3779468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.65 % (3779468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.65 % (3779468)CaDiCaL version: 2.1.3
% 2.59/0.65 % (3779468)Termination reason: Refutation not found, incomplete strategy
% 2.59/0.65 % (3779468)Time elapsed: 0.002 s
% 2.59/0.65 % (3779474)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=389561894:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.59/0.65 % (3779468)Peak memory usage: 12 MB
% 2.59/0.65 % (3779468)Instructions burned: 2 (million)
% 2.59/0.65 % (3779468)------------------------------
% 2.59/0.65 % (3779468)------------------------------
% 2.59/0.65 % (3779494)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1632161005:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.59/0.65 % (3779474)Instruction limit reached!
% 2.59/0.65 % (3779474)------------------------------
% 2.59/0.65 % (3779474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.65 % (3779474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.65 % (3779474)CaDiCaL version: 2.1.3
% 2.59/0.65 % (3779474)Termination reason: Instruction limit
% 2.59/0.65 % (3779474)Termination phase: Saturation
% 2.59/0.65 % (3779474)Time elapsed: 0.016 s
% 2.59/0.65 % (3779474)Peak memory usage: 12 MB
% 2.59/0.65 % (3779474)Instructions burned: 31 (million)
% 2.59/0.65 % (3779466)Instruction limit reached!
% 2.59/0.65 % (3779466)------------------------------
% 2.59/0.65 % (3779466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.72 % (3779466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.72 % (3779466)CaDiCaL version: 2.1.3
% 2.94/0.72 % (3779466)Termination reason: Instruction limit
% 2.94/0.72 % (3779466)Termination phase: Saturation
% 2.94/0.72 % (3779466)Time elapsed: 0.032 s
% 2.94/0.72 % (3779466)Peak memory usage: 12 MB
% 2.94/0.72 % (3779466)Instructions burned: 66 (million)
% 2.94/0.72 % (3779428)Instruction limit reached!
% 2.94/0.72 % (3779428)------------------------------
% 2.94/0.72 % (3779428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.72 % (3779428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.72 % (3779428)CaDiCaL version: 2.1.3
% 2.94/0.72 % (3779428)Termination reason: Instruction limit
% 2.94/0.72 % (3779428)Termination phase: Saturation
% 2.94/0.72 % (3779428)Time elapsed: 0.097 s
% 2.94/0.72 % (3779428)Peak memory usage: 13 MB
% 2.94/0.72 % (3779428)Instructions burned: 317 (million)
% 2.94/0.72 % (3779497)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=2474839381:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.94/0.72 % (3779451)Instruction limit reached!
% 2.94/0.72 % (3779451)------------------------------
% 2.94/0.72 % (3779451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.72 % (3779451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.72 % (3779451)CaDiCaL version: 2.1.3
% 2.94/0.72 % (3779451)Termination reason: Instruction limit
% 2.94/0.72 % (3779451)Termination phase: Saturation
% 2.94/0.72 % (3779451)Time elapsed: 0.074 s
% 2.94/0.72 % (3779451)Peak memory usage: 12 MB
% 2.94/0.72 % (3779451)Instructions burned: 201 (million)
% 2.94/0.72 % (3779502)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.94/0.72 % (3779501)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2002747191:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 2.94/0.72 % (3779501)Refutation not found, incomplete strategy
% 2.94/0.72 % (3779501)------------------------------
% 2.94/0.72 % (3779501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.72 % (3779501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.72 % (3779501)CaDiCaL version: 2.1.3
% 2.94/0.72 % (3779501)Termination reason: Refutation not found, incomplete strategy
% 2.94/0.72 % (3779501)Time elapsed: 0.002 s
% 2.94/0.72 % (3779501)Peak memory usage: 12 MB
% 2.94/0.72 % (3779501)Instructions burned: 2 (million)
% 2.94/0.72 % (3779502)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2417557813:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.94/0.72 % (3779501)------------------------------
% 2.94/0.72 % (3779501)------------------------------
% 2.94/0.72 % (3779497)Instruction limit reached!
% 2.94/0.72 % (3779497)------------------------------
% 2.94/0.72 % (3779497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.72 % (3779497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.72 % (3779497)CaDiCaL version: 2.1.3
% 2.94/0.72 % (3779497)Termination reason: Instruction limit
% 2.94/0.72 % (3779497)Termination phase: Saturation
% 2.94/0.72 % (3779497)Time elapsed: 0.019 s
% 2.94/0.72 % (3779497)Peak memory usage: 12 MB
% 2.94/0.72 % (3779497)Instructions burned: 36 (million)
% 2.94/0.72 % (3779507)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1420589349:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.94/0.72 % (3779507)Refutation not found, incomplete strategy
% 2.94/0.72 % (3779507)------------------------------
% 2.94/0.72 % (3779507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.72 % (3779507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.72 % (3779507)CaDiCaL version: 2.1.3
% 2.94/0.72 % (3779507)Termination reason: Refutation not found, incomplete strategy
% 2.94/0.72 % (3779507)Time elapsed: 0.001 s
% 2.94/0.72 % (3779507)Peak memory usage: 12 MB
% 2.94/0.72 % (3779507)Instructions burned: 1 (million)
% 2.94/0.72 % (3779494)Instruction limit reached!
% 2.94/0.72 % (3779494)------------------------------
% 2.94/0.72 % (3779494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.72 % (3779494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.76 % (3779494)CaDiCaL version: 2.1.3
% 2.94/0.76 % (3779494)Termination reason: Instruction limit
% 2.94/0.76 % (3779494)Termination phase: Saturation
% 2.94/0.76 % (3779494)Time elapsed: 0.045 s
% 2.94/0.76 % (3779494)Peak memory usage: 13 MB
% 2.94/0.76 % (3779494)Instructions burned: 139 (million)
% 2.94/0.76 % (3779507)------------------------------
% 2.94/0.76 % (3779507)------------------------------
% 2.94/0.76 % (3779519)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2798195657:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 2.94/0.76 % (3779514)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1797115973:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.94/0.76 % (3779519)Refutation not found, incomplete strategy
% 2.94/0.76 % (3779519)------------------------------
% 2.94/0.76 % (3779519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.76 % (3779519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.76 % (3779519)CaDiCaL version: 2.1.3
% 2.94/0.76 % (3779519)Termination reason: Refutation not found, incomplete strategy
% 2.94/0.76 % (3779519)Time elapsed: 0.0000 s
% 2.94/0.76 % (3779519)Peak memory usage: 11 MB
% 2.94/0.76 % (3779519)Instructions burned: 1 (million)
% 2.94/0.76 % (3779519)------------------------------
% 2.94/0.76 % (3779519)------------------------------
% 2.94/0.76 % (3779515)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1830718662:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.94/0.76 % (3779515)Refutation not found, incomplete strategy
% 2.94/0.76 % (3779515)------------------------------
% 2.94/0.76 % (3779515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.76 % (3779515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.76 % (3779515)CaDiCaL version: 2.1.3
% 2.94/0.76 % (3779515)Termination reason: Refutation not found, incomplete strategy
% 2.94/0.76 % (3779515)Time elapsed: 0.001 s
% 2.94/0.76 % (3779515)Peak memory usage: 11 MB
% 2.94/0.76 % (3779515)Instructions burned: 1 (million)
% 2.94/0.76 % (3779515)------------------------------
% 2.94/0.76 % (3779515)------------------------------
% 2.94/0.76 % (3779520)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=328728118:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 2.94/0.76 % (3779520)Refutation not found, incomplete strategy
% 2.94/0.76 % (3779520)------------------------------
% 2.94/0.76 % (3779520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.76 % (3779520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.76 % (3779520)CaDiCaL version: 2.1.3
% 2.94/0.76 % (3779520)Termination reason: Refutation not found, incomplete strategy
% 2.94/0.76 % (3779520)Time elapsed: 0.001 s
% 2.94/0.76 % (3779520)Peak memory usage: 12 MB
% 2.94/0.76 % (3779520)Instructions burned: 1 (million)
% 2.94/0.76 % (3779520)------------------------------
% 2.94/0.76 % (3779520)------------------------------
% 2.94/0.76 % (3779528)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4191640:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 2.94/0.76 % (3779528)Refutation not found, incomplete strategy
% 2.94/0.76 % (3779528)------------------------------
% 2.94/0.76 % (3779528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.94/0.76 % (3779528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/0.76 % (3779528)CaDiCaL version: 2.1.3
% 2.94/0.76 % (3779528)Termination reason: Refutation not found, incomplete strategy
% 2.94/0.76 % (3779528)Time elapsed: 0.001 s
% 2.94/0.76 % (3779528)Peak memory usage: 11 MB
% 2.94/0.76 % (3779528)Instructions burned: 1 (million)
% 2.94/0.76 % (3779528)------------------------------
% 2.94/0.76 % (3779528)------------------------------
% 2.94/0.76 % (3779530)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=945035363:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 2.94/0.76 % (3779538)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2483681091:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 2.94/0.76 % (3779534)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3604190571:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.52/0.86 % (3779534)Refutation not found, incomplete strategy
% 3.52/0.86 % (3779534)------------------------------
% 3.52/0.86 % (3779534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.86 % (3779534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.86 % (3779534)CaDiCaL version: 2.1.3
% 3.52/0.86 % (3779534)Termination reason: Refutation not found, incomplete strategy
% 3.52/0.86 % (3779534)Time elapsed: 0.002 s
% 3.52/0.86 % (3779534)Peak memory usage: 12 MB
% 3.52/0.86 % (3779534)Instructions burned: 2 (million)
% 3.52/0.86 % (3779534)------------------------------
% 3.52/0.86 % (3779534)------------------------------
% 3.52/0.86 % (3779530)Instruction limit reached!
% 3.52/0.86 % (3779530)------------------------------
% 3.52/0.86 % (3779530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.86 % (3779530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.86 % (3779530)CaDiCaL version: 2.1.3
% 3.52/0.86 % (3779530)Termination reason: Instruction limit
% 3.52/0.86 % (3779530)Termination phase: Saturation
% 3.52/0.86 % (3779530)Time elapsed: 0.022 s
% 3.52/0.86 % (3779530)Peak memory usage: 12 MB
% 3.52/0.86 % (3779530)Instructions burned: 45 (million)
% 3.52/0.86 % (3779514)Instruction limit reached!
% 3.52/0.86 % (3779514)------------------------------
% 3.52/0.86 % (3779514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.86 % (3779514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.86 % (3779514)CaDiCaL version: 2.1.3
% 3.52/0.86 % (3779514)Termination reason: Instruction limit
% 3.52/0.86 % (3779514)Termination phase: Saturation
% 3.52/0.86 % (3779514)Time elapsed: 0.045 s
% 3.52/0.86 % (3779514)Peak memory usage: 12 MB
% 3.52/0.86 % (3779514)Instructions burned: 97 (million)
% 3.52/0.86 % (3779550)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2299171748:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.52/0.86 % (3779557)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=3358154040:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.52/0.86 % (3779558)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=1846415449:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.52/0.86 % (3779502)Instruction limit reached!
% 3.52/0.86 % (3779502)------------------------------
% 3.52/0.86 % (3779502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.86 % (3779502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.86 % (3779502)CaDiCaL version: 2.1.3
% 3.52/0.86 % (3779502)Termination reason: Instruction limit
% 3.52/0.86 % (3779502)Termination phase: Saturation
% 3.52/0.86 % (3779502)Time elapsed: 0.092 s
% 3.52/0.86 % (3779502)Peak memory usage: 12 MB
% 3.52/0.86 % (3779502)Instructions burned: 180 (million)
% 3.52/0.86 % (3779569)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=2983816924:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.52/0.86 % (3779569)Refutation not found, incomplete strategy
% 3.52/0.86 % (3779569)------------------------------
% 3.52/0.86 % (3779569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.86 % (3779569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/0.86 % (3779569)CaDiCaL version: 2.1.3
% 3.52/0.86 % (3779569)Termination reason: Refutation not found, incomplete strategy
% 3.52/0.86 % (3779569)Time elapsed: 0.0000 s
% 3.52/0.86 % (3779569)Peak memory usage: 12 MB
% 3.52/0.86 % (3779569)Instructions burned: 1 (million)
% 3.52/0.86 % (3779569)------------------------------
% 3.52/0.86 % (3779569)------------------------------
% 3.52/0.86 % (3779557)Instruction limit reached!
% 3.52/0.86 % (3779557)------------------------------
% 3.52/0.86 % (3779557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.52/0.86 % (3779557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.98 % (3779557)CaDiCaL version: 2.1.3
% 4.05/0.98 % (3779557)Termination reason: Instruction limit
% 4.05/0.98 % (3779557)Termination phase: Saturation
% 4.05/0.98 % (3779557)Time elapsed: 0.033 s
% 4.05/0.98 % (3779557)Peak memory usage: 12 MB
% 4.05/0.98 % (3779557)Instructions burned: 67 (million)
% 4.05/0.98 % (3779575)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3434716029:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 4.05/0.98 % (3779575)Refutation not found, incomplete strategy
% 4.05/0.98 % (3779575)------------------------------
% 4.05/0.98 % (3779575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.98 % (3779575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.98 % (3779575)CaDiCaL version: 2.1.3
% 4.05/0.98 % (3779575)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.98 % (3779575)Time elapsed: 0.0000 s
% 4.05/0.98 % (3779575)Peak memory usage: 11 MB
% 4.05/0.98 % (3779575)Instructions burned: 1 (million)
% 4.05/0.98 % (3779575)------------------------------
% 4.05/0.98 % (3779575)------------------------------
% 4.05/0.98 % (3779550)Instruction limit reached!
% 4.05/0.98 % (3779550)------------------------------
% 4.05/0.98 % (3779550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.98 % (3779550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.98 % (3779550)CaDiCaL version: 2.1.3
% 4.05/0.98 % (3779550)Termination reason: Instruction limit
% 4.05/0.98 % (3779550)Termination phase: Saturation
% 4.05/0.98 % (3779550)Time elapsed: 0.042 s
% 4.05/0.98 % (3779550)Peak memory usage: 12 MB
% 4.05/0.98 % (3779550)Instructions burned: 96 (million)
% 4.05/0.98 % (3779580)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=1021188339:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.05/0.98 % (3779578)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1508604027:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 4.05/0.98 % (3779581)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3472405577:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 4.05/0.98 % (3779580)Instruction limit reached!
% 4.05/0.98 % (3779580)------------------------------
% 4.05/0.98 % (3779580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.98 % (3779580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.98 % (3779580)CaDiCaL version: 2.1.3
% 4.05/0.98 % (3779580)Termination reason: Instruction limit
% 4.05/0.98 % (3779580)Termination phase: Saturation
% 4.05/0.98 % (3779580)Time elapsed: 0.011 s
% 4.05/0.98 % (3779580)Peak memory usage: 12 MB
% 4.05/0.98 % (3779580)Instructions burned: 38 (million)
% 4.05/0.98 % (3779558)Instruction limit reached!
% 4.05/0.98 % (3779558)------------------------------
% 4.05/0.98 % (3779558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.98 % (3779558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.98 % (3779558)CaDiCaL version: 2.1.3
% 4.05/0.98 % (3779558)Termination reason: Instruction limit
% 4.05/0.98 % (3779558)Termination phase: Saturation
% 4.05/0.98 % (3779558)Time elapsed: 0.062 s
% 4.05/0.98 % (3779558)Peak memory usage: 12 MB
% 4.05/0.98 % (3779558)Instructions burned: 105 (million)
% 4.05/0.98 % (3779589)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2596996438:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 4.05/0.98 % (3779589)Refutation not found, incomplete strategy
% 4.05/0.98 % (3779589)------------------------------
% 4.05/0.98 % (3779589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.98 % (3779589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.98 % (3779589)CaDiCaL version: 2.1.3
% 4.05/0.98 % (3779589)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.98 % (3779589)Time elapsed: 0.0000 s
% 4.05/0.98 % (3779589)Peak memory usage: 11 MB
% 4.05/0.98 % (3779589)------------------------------
% 4.05/0.98 % (3779589)------------------------------
% 4.05/0.98 % (3779596)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=421377999:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 5.61/1.07 % (3779592)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3450947560:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 5.61/1.07 % (3779581)Instruction limit reached!
% 5.61/1.07 % (3779581)------------------------------
% 5.61/1.07 % (3779581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (3779581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (3779581)CaDiCaL version: 2.1.3
% 5.61/1.07 % (3779581)Termination reason: Instruction limit
% 5.61/1.07 % (3779581)Termination phase: Saturation
% 5.61/1.07 % (3779581)Time elapsed: 0.035 s
% 5.61/1.07 % (3779581)Peak memory usage: 12 MB
% 5.61/1.07 % (3779581)Instructions burned: 92 (million)
% 5.61/1.07 % (3779592)Instruction limit reached!
% 5.61/1.07 % (3779592)------------------------------
% 5.61/1.07 % (3779592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (3779592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (3779592)CaDiCaL version: 2.1.3
% 5.61/1.07 % (3779592)Termination reason: Instruction limit
% 5.61/1.07 % (3779592)Termination phase: Saturation
% 5.61/1.07 % (3779592)Time elapsed: 0.011 s
% 5.61/1.07 % (3779592)Peak memory usage: 12 MB
% 5.61/1.07 % (3779592)Instructions burned: 23 (million)
% 5.61/1.07 % (3779604)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.61/1.07 % (3779603)lrs+10_1_sil=128000:si=on:urr=on:random_seed=57519896:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 5.61/1.07 % (3779603)Refutation not found, incomplete strategy
% 5.61/1.07 % (3779603)------------------------------
% 5.61/1.07 % (3779603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (3779603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (3779603)CaDiCaL version: 2.1.3
% 5.61/1.07 % (3779603)Termination reason: Refutation not found, incomplete strategy
% 5.61/1.07 % (3779603)Time elapsed: 0.001 s
% 5.61/1.07 % (3779603)Peak memory usage: 11 MB
% 5.61/1.07 % (3779603)Instructions burned: 1 (million)
% 5.61/1.07 % (3779604)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=885097882:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.61/1.07 % (3779603)------------------------------
% 5.61/1.07 % (3779603)------------------------------
% 5.61/1.07 % (3779615)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=2828731905:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 5.61/1.07 % (3779538)Instruction limit reached!
% 5.61/1.07 % (3779538)------------------------------
% 5.61/1.07 % (3779538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (3779538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (3779538)CaDiCaL version: 2.1.3
% 5.61/1.07 % (3779538)Termination reason: Instruction limit
% 5.61/1.07 % (3779538)Termination phase: Saturation
% 5.61/1.07 % (3779538)Time elapsed: 0.172 s
% 5.61/1.07 % (3779538)Peak memory usage: 13 MB
% 5.61/1.07 % (3779538)Instructions burned: 450 (million)
% 5.61/1.07 % (3779627)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2163972972:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 5.61/1.07 % (3779627)Refutation not found, incomplete strategy
% 5.61/1.07 % (3779627)------------------------------
% 5.61/1.07 % (3779627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (3779627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (3779627)CaDiCaL version: 2.1.3
% 5.61/1.07 % (3779627)Termination reason: Refutation not found, incomplete strategy
% 5.61/1.07 % (3779627)Time elapsed: 0.001 s
% 5.61/1.07 % (3779627)Peak memory usage: 11 MB
% 5.61/1.07 % (3779627)------------------------------
% 5.61/1.07 % (3779627)------------------------------
% 5.61/1.07 % (3779431)Instruction limit reached!
% 5.61/1.07 % (3779431)------------------------------
% 5.61/1.07 % (3779431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (3779431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (3779431)CaDiCaL version: 2.1.3
% 5.61/1.14 % (3779431)Termination reason: Instruction limit
% 5.61/1.14 % (3779431)Termination phase: Saturation
% 5.61/1.14 % (3779431)Time elapsed: 0.378 s
% 5.61/1.14 % (3779431)Peak memory usage: 14 MB
% 5.61/1.14 % (3779431)Instructions burned: 853 (million)
% 5.61/1.14 % (3779635)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.61/1.14 % (3779604)Instruction limit reached!
% 5.61/1.14 % (3779604)------------------------------
% 5.61/1.14 % (3779604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.14 % (3779604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (3779604)CaDiCaL version: 2.1.3
% 5.61/1.14 % (3779604)Termination reason: Instruction limit
% 5.61/1.14 % (3779604)Termination phase: Saturation
% 5.61/1.14 % (3779604)Time elapsed: 0.097 s
% 5.61/1.14 % (3779604)Peak memory usage: 12 MB
% 5.61/1.14 % (3779604)Instructions burned: 138 (million)
% 5.61/1.14 % (3779636)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=89082248:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 5.61/1.14 % (3779635)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1846710917:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 5.61/1.14 % (3779596)Instruction limit reached!
% 5.61/1.14 % (3779596)------------------------------
% 5.61/1.14 % (3779596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.14 % (3779596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (3779596)CaDiCaL version: 2.1.3
% 5.61/1.14 % (3779596)Termination reason: Instruction limit
% 5.61/1.14 % (3779596)Termination phase: Saturation
% 5.61/1.14 % (3779596)Time elapsed: 0.135 s
% 5.61/1.14 % (3779596)Peak memory usage: 15 MB
% 5.61/1.14 % (3779596)Instructions burned: 339 (million)
% 5.61/1.14 % (3779645)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3409733132:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.61/1.14 % (3779642)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3964344614:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 5.61/1.14 % (3779642)Refutation not found, incomplete strategy
% 5.61/1.14 % (3779642)------------------------------
% 5.61/1.14 % (3779642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.14 % (3779642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (3779642)CaDiCaL version: 2.1.3
% 5.61/1.14 % (3779642)Termination reason: Refutation not found, incomplete strategy
% 5.61/1.14 % (3779642)Time elapsed: 0.003 s
% 5.61/1.14 % (3779642)Peak memory usage: 12 MB
% 5.61/1.14 % (3779642)Instructions burned: 2 (million)
% 5.61/1.14 % (3779642)------------------------------
% 5.61/1.14 % (3779642)------------------------------
% 5.61/1.14 % (3779392)Instruction limit reached!
% 5.61/1.14 % (3779392)------------------------------
% 5.61/1.14 % (3779392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.14 % (3779392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (3779392)CaDiCaL version: 2.1.3
% 5.61/1.14 % (3779392)Termination reason: Instruction limit
% 5.61/1.14 % (3779392)Termination phase: Saturation
% 5.61/1.14 % (3779392)Time elapsed: 0.527 s
% 5.61/1.14 % (3779392)Peak memory usage: 13 MB
% 5.61/1.14 % (3779392)Instructions burned: 1240 (million)
% 5.61/1.14 % (3779649)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=4278189622:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/9840Mi)
% 5.61/1.14 % (3779636)Instruction limit reached!
% 5.61/1.14 % (3779636)------------------------------
% 5.61/1.14 % (3779636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.14 % (3779636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (3779636)CaDiCaL version: 2.1.3
% 5.61/1.14 % (3779636)Termination reason: Instruction limit
% 5.61/1.14 % (3779636)Termination phase: Saturation
% 5.61/1.14 % (3779636)Time elapsed: 0.082 s
% 6.14/1.24 % (3779636)Peak memory usage: 12 MB
% 6.14/1.24 % (3779636)Instructions burned: 116 (million)
% 6.14/1.24 % (3779651)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=4180100478:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 6.14/1.24 % (3779651)Refutation not found, incomplete strategy
% 6.14/1.24 % (3779651)------------------------------
% 6.14/1.24 % (3779651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.24 % (3779651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.24 % (3779651)CaDiCaL version: 2.1.3
% 6.14/1.24 % (3779651)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.24 % (3779651)Time elapsed: 0.001 s
% 6.14/1.24 % (3779651)Peak memory usage: 11 MB
% 6.14/1.24 % (3779651)Instructions burned: 1 (million)
% 6.14/1.24 % (3779651)------------------------------
% 6.14/1.24 % (3779651)------------------------------
% 6.14/1.24 % (3779656)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
% 6.14/1.24 % (3779656)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=2368613864:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/270Mi)
% 6.14/1.24 % (3779657)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=145039107:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 6.14/1.24 % (3779645)Instruction limit reached!
% 6.14/1.24 % (3779645)------------------------------
% 6.14/1.24 % (3779645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.24 % (3779645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.24 % (3779645)CaDiCaL version: 2.1.3
% 6.14/1.24 % (3779645)Termination reason: Instruction limit
% 6.14/1.24 % (3779645)Termination phase: Saturation
% 6.14/1.24 % (3779645)Time elapsed: 0.112 s
% 6.14/1.24 % (3779645)Peak memory usage: 12 MB
% 6.14/1.24 % (3779645)Instructions burned: 272 (million)
% 6.14/1.24 % (3779615)Instruction limit reached!
% 6.14/1.24 % (3779615)------------------------------
% 6.14/1.24 % (3779615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.24 % (3779615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.24 % (3779615)CaDiCaL version: 2.1.3
% 6.14/1.24 % (3779615)Termination reason: Instruction limit
% 6.14/1.24 % (3779615)Termination phase: Saturation
% 6.14/1.24 % (3779615)Time elapsed: 0.217 s
% 6.14/1.24 % (3779615)Peak memory usage: 13 MB
% 6.14/1.24 % (3779615)Instructions burned: 341 (million)
% 6.14/1.24 % (3779657)Instruction limit reached!
% 6.14/1.24 % (3779657)------------------------------
% 6.14/1.24 % (3779657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.24 % (3779657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.24 % (3779657)CaDiCaL version: 2.1.3
% 6.14/1.24 % (3779657)Termination reason: Instruction limit
% 6.14/1.24 % (3779657)Termination phase: Saturation
% 6.14/1.24 % (3779657)Time elapsed: 0.031 s
% 6.14/1.24 % (3779657)Peak memory usage: 12 MB
% 6.14/1.24 % (3779657)Instructions burned: 31 (million)
% 6.14/1.24 % (3779666)dis+10_2_sil=128000:si=on:random_seed=3595538322:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 6.14/1.24 % (3779666)Refutation not found, incomplete strategy
% 6.14/1.24 % (3779666)------------------------------
% 6.14/1.24 % (3779666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.24 % (3779666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.24 % (3779666)CaDiCaL version: 2.1.3
% 6.14/1.24 % (3779666)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.24 % (3779666)Time elapsed: 0.001 s
% 6.14/1.24 % (3779666)Peak memory usage: 11 MB
% 6.14/1.24 % (3779666)Instructions burned: 1 (million)
% 6.14/1.24 % (3779666)------------------------------
% 6.14/1.24 % (3779666)------------------------------
% 6.14/1.24 % (3779578)Instruction limit reached!
% 6.14/1.24 % (3779578)------------------------------
% 6.14/1.24 % (3779578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.24 % (3779578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.24 % (3779578)CaDiCaL version: 2.1.3
% 6.64/1.39 % (3779578)Termination reason: Instruction limit
% 6.64/1.39 % (3779578)Termination phase: Saturation
% 6.64/1.39 % (3779578)Time elapsed: 0.332 s
% 6.64/1.39 % (3779578)Peak memory usage: 13 MB
% 6.64/1.39 % (3779578)Instructions burned: 499 (million)
% 6.64/1.39 % (3779665)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 6.64/1.39 % (3779665)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
% 6.64/1.39 % (3779665)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=3447694285:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 6.64/1.39 % (3779669)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3204044507:i=111:add=on:fgj=on:rtra=on:fdi=1024_2991 on theBenchmark for (2991ds/111Mi)
% 6.64/1.39 % (3779672)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=3707011046:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/136Mi)
% 6.64/1.39 % (3779672)Refutation not found, incomplete strategy
% 6.64/1.39 % (3779672)------------------------------
% 6.64/1.39 % (3779672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.39 % (3779672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.39 % (3779672)CaDiCaL version: 2.1.3
% 6.64/1.39 % (3779672)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.39 % (3779672)Time elapsed: 0.002 s
% 6.64/1.39 % (3779672)Peak memory usage: 12 MB
% 6.64/1.39 % (3779672)Instructions burned: 2 (million)
% 6.64/1.39 % (3779672)------------------------------
% 6.64/1.39 % (3779672)------------------------------
% 6.64/1.39 % (3779671)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=1991190271:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/122Mi)
% 6.64/1.39 % (3779671)Refutation not found, incomplete strategy
% 6.64/1.39 % (3779671)------------------------------
% 6.64/1.39 % (3779671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.39 % (3779671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.39 % (3779671)CaDiCaL version: 2.1.3
% 6.64/1.39 % (3779671)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.39 % (3779671)Time elapsed: 0.001 s
% 6.64/1.39 % (3779671)Peak memory usage: 12 MB
% 6.64/1.39 % (3779671)Instructions burned: 1 (million)
% 6.64/1.39 % (3779671)------------------------------
% 6.64/1.39 % (3779671)------------------------------
% 6.64/1.39 % (3779678)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=424353078:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/232Mi)
% 6.64/1.39 % (3779678)Refutation not found, incomplete strategy
% 6.64/1.39 % (3779678)------------------------------
% 6.64/1.39 % (3779678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.39 % (3779678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.39 % (3779678)CaDiCaL version: 2.1.3
% 6.64/1.39 % (3779678)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.39 % (3779678)Time elapsed: 0.001 s
% 6.64/1.39 % (3779678)Peak memory usage: 11 MB
% 6.64/1.39 % (3779678)Instructions burned: 1 (million)
% 6.64/1.39 % (3779678)------------------------------
% 6.64/1.39 % (3779678)------------------------------
% 6.64/1.39 % (3779680)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=276215523:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/1254Mi)
% 6.64/1.39 % (3779683)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.64/1.39 % (3779680)Refutation not found, incomplete strategy
% 6.64/1.39 % (3779680)------------------------------
% 6.64/1.39 % (3779680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.39 % (3779680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.46 % (3779680)CaDiCaL version: 2.1.3
% 7.66/1.46 % (3779680)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.46 % (3779680)Time elapsed: 0.004 s
% 7.66/1.46 % (3779680)Peak memory usage: 11 MB
% 7.66/1.46 % (3779680)Instructions burned: 3 (million)
% 7.66/1.46 % (3779680)------------------------------
% 7.66/1.46 % (3779680)------------------------------
% 7.66/1.46 % (3779683)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=4031242711:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 7.66/1.46 % (3779685)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1196552216:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 7.66/1.46 % (3779669)Instruction limit reached!
% 7.66/1.46 % (3779669)------------------------------
% 7.66/1.46 % (3779669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.66/1.46 % (3779669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.46 % (3779685)Refutation not found, incomplete strategy
% 7.66/1.46 % (3779685)------------------------------
% 7.66/1.46 % (3779685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.66/1.46 % (3779669)CaDiCaL version: 2.1.3
% 7.66/1.46 % (3779669)Termination reason: Instruction limit
% 7.66/1.46 % (3779669)Termination phase: Saturation
% 7.66/1.46 % (3779685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.46 % (3779669)Time elapsed: 0.092 s
% 7.66/1.46 % (3779669)Peak memory usage: 12 MB
% 7.66/1.46 % (3779685)CaDiCaL version: 2.1.3
% 7.66/1.46 % (3779669)Instructions burned: 112 (million)
% 7.66/1.46 % (3779685)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.46 % (3779685)Time elapsed: 0.004 s
% 7.66/1.46 % (3779685)Peak memory usage: 13 MB
% 7.66/1.46 % (3779685)Instructions burned: 3 (million)
% 7.66/1.46 % (3779685)------------------------------
% 7.66/1.46 % (3779685)------------------------------
% 7.66/1.46 % (3779656)Instruction limit reached!
% 7.66/1.46 % (3779656)------------------------------
% 7.66/1.46 % (3779656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.66/1.46 % (3779656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.46 % (3779656)CaDiCaL version: 2.1.3
% 7.66/1.46 % (3779656)Termination reason: Instruction limit
% 7.66/1.46 % (3779656)Termination phase: Saturation
% 7.66/1.46 % (3779656)Time elapsed: 0.188 s
% 7.66/1.46 % (3779656)Peak memory usage: 12 MB
% 7.66/1.46 % (3779656)Instructions burned: 271 (million)
% 7.66/1.46 % (3779635)Instruction limit reached!
% 7.66/1.46 % (3779635)------------------------------
% 7.66/1.46 % (3779635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.66/1.46 % (3779635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.46 % (3779635)CaDiCaL version: 2.1.3
% 7.66/1.46 % (3779635)Termination reason: Instruction limit
% 7.66/1.46 % (3779635)Termination phase: Saturation
% 7.66/1.46 % (3779635)Time elapsed: 0.316 s
% 7.66/1.46 % (3779635)Peak memory usage: 13 MB
% 7.66/1.46 % (3779635)Instructions burned: 373 (million)
% 7.66/1.46 % (3779693)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4258380631:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/212Mi)
% 7.66/1.46 % (3779692)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=4190134869:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/865Mi)
% 7.66/1.46 % (3779693)Refutation not found, incomplete strategy
% 7.66/1.46 % (3779693)------------------------------
% 7.66/1.46 % (3779693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.66/1.46 % (3779693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.46 % (3779693)CaDiCaL version: 2.1.3
% 7.66/1.46 % (3779693)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.46 % (3779693)Time elapsed: 0.002 s
% 7.66/1.46 % (3779693)Peak memory usage: 12 MB
% 7.66/1.46 % (3779693)Instructions burned: 1 (million)
% 7.66/1.46 % (3779693)------------------------------
% 7.66/1.46 % (3779693)------------------------------
% 7.66/1.46 % (3779695)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=355848130:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 7.66/1.46 % (3779695)Refutation not found, incomplete strategy
% 7.66/1.46 % (3779695)------------------------------
% 8.45/1.66 % (3779695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/1.66 % (3779695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/1.66 % (3779695)CaDiCaL version: 2.1.3
% 8.45/1.66 % (3779695)Termination reason: Refutation not found, incomplete strategy
% 8.45/1.66 % (3779695)Time elapsed: 0.002 s
% 8.45/1.66 % (3779695)Peak memory usage: 12 MB
% 8.45/1.66 % (3779695)Instructions burned: 1 (million)
% 8.45/1.66 % (3779695)------------------------------
% 8.45/1.66 % (3779695)------------------------------
% 8.45/1.66 % (3779698)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4244386476:st=1.5:i=346:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/346Mi)
% 8.45/1.66 % (3779700)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1409097856:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/152Mi)
% 8.45/1.66 % (3779698)Refutation not found, incomplete strategy
% 8.45/1.66 % (3779698)------------------------------
% 8.45/1.66 % (3779698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/1.66 % (3779698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/1.66 % (3779698)CaDiCaL version: 2.1.3
% 8.45/1.66 % (3779698)Termination reason: Refutation not found, incomplete strategy
% 8.45/1.66 % (3779698)Time elapsed: 0.002 s
% 8.45/1.66 % (3779698)Peak memory usage: 11 MB
% 8.45/1.66 % (3779698)Instructions burned: 1 (million)
% 8.45/1.66 % (3779698)------------------------------
% 8.45/1.66 % (3779698)------------------------------
% 8.45/1.66 % (3779703)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=499771371:i=75:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/75Mi)
% 8.45/1.66 % (3779707)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=578589934:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/387Mi)
% 8.45/1.66 % (3779707)Refutation not found, incomplete strategy
% 8.45/1.66 % (3779707)------------------------------
% 8.45/1.66 % (3779707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/1.66 % (3779707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/1.66 % (3779707)CaDiCaL version: 2.1.3
% 8.45/1.66 % (3779707)Termination reason: Refutation not found, incomplete strategy
% 8.45/1.66 % (3779707)Time elapsed: 0.002 s
% 8.45/1.66 % (3779707)Peak memory usage: 11 MB
% 8.45/1.66 % (3779707)Instructions burned: 1 (million)
% 8.45/1.66 % (3779707)------------------------------
% 8.45/1.66 % (3779707)------------------------------
% 8.45/1.66 % (3779710)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=1865539209:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2989 on theBenchmark for (2989ds/148Mi)
% 8.45/1.66 % (3779703)Instruction limit reached!
% 8.45/1.66 % (3779703)------------------------------
% 8.45/1.66 % (3779703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/1.66 % (3779703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/1.66 % (3779703)CaDiCaL version: 2.1.3
% 8.45/1.66 % (3779703)Termination reason: Instruction limit
% 8.45/1.66 % (3779703)Termination phase: Saturation
% 8.45/1.66 % (3779703)Time elapsed: 0.059 s
% 8.45/1.66 % (3779703)Peak memory usage: 12 MB
% 8.45/1.66 % (3779703)Instructions burned: 75 (million)
% 8.45/1.66 % (3779712)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2122354025:i=161:piset=and:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/161Mi)
% 8.45/1.66 % (3779700)Instruction limit reached!
% 8.45/1.66 % (3779700)------------------------------
% 8.45/1.66 % (3779700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/1.66 % (3779700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/1.66 % (3779700)CaDiCaL version: 2.1.3
% 8.45/1.66 % (3779700)Termination reason: Instruction limit
% 8.45/1.66 % (3779700)Termination phase: Saturation
% 8.45/1.66 % (3779700)Time elapsed: 0.123 s
% 8.45/1.66 % (3779700)Peak memory usage: 12 MB
% 8.45/1.66 % (3779700)Instructions burned: 153 (million)
% 8.45/1.66 % (3779665)Instruction limit reached!
% 8.45/1.66 % (3779665)------------------------------
% 8.45/1.66 % (3779665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.45/1.66 % (3779665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/1.99 % (3779665)CaDiCaL version: 2.1.3
% 10.15/1.99 % (3779665)Termination reason: Instruction limit
% 10.15/1.99 % (3779665)Termination phase: Saturation
% 10.15/1.99 % (3779665)Time elapsed: 0.315 s
% 10.15/1.99 % (3779665)Peak memory usage: 13 MB
% 10.15/1.99 % (3779665)Instructions burned: 1443 (million)
% 10.15/1.99 % (3779715)lrs+10_1_sil=128000:si=on:random_seed=1447580820:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/888Mi)
% 10.15/1.99 % (3779683)Instruction limit reached!
% 10.15/1.99 % (3779683)------------------------------
% 10.15/1.99 % (3779683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.15/1.99 % (3779683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/1.99 % (3779683)CaDiCaL version: 2.1.3
% 10.15/1.99 % (3779715)Refutation not found, incomplete strategy
% 10.15/1.99 % (3779715)------------------------------
% 10.15/1.99 % (3779715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.15/1.99 % (3779683)Termination reason: Instruction limit
% 10.15/1.99 % (3779683)Termination phase: Saturation
% 10.15/1.99 % (3779683)Time elapsed: 0.252 s
% 10.15/1.99 % (3779683)Peak memory usage: 13 MB
% 10.15/1.99 % (3779715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/1.99 % (3779683)Instructions burned: 281 (million)
% 10.15/1.99 % (3779715)CaDiCaL version: 2.1.3
% 10.15/1.99 % (3779715)Termination reason: Refutation not found, incomplete strategy
% 10.15/1.99 % (3779715)Time elapsed: 0.001 s
% 10.15/1.99 % (3779715)Peak memory usage: 11 MB
% 10.15/1.99 % (3779715)Instructions burned: 1 (million)
% 10.15/1.99 % (3779715)------------------------------
% 10.15/1.99 % (3779715)------------------------------
% 10.15/1.99 % (3779717)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=4211249024:i=136:add=on:ins=4:rtra=on:sup=off_2988 on theBenchmark for (2988ds/136Mi)
% 10.15/1.99 % (3779717)Refutation not found, incomplete strategy
% 10.15/1.99 % (3779717)------------------------------
% 10.15/1.99 % (3779717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.15/1.99 % (3779717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/1.99 % (3779717)CaDiCaL version: 2.1.3
% 10.15/1.99 % (3779717)Termination reason: Refutation not found, incomplete strategy
% 10.15/1.99 % (3779717)Time elapsed: 0.002 s
% 10.15/1.99 % (3779717)Peak memory usage: 12 MB
% 10.15/1.99 % (3779717)Instructions burned: 3 (million)
% 10.15/1.99 % (3779717)------------------------------
% 10.15/1.99 % (3779717)------------------------------
% 10.15/1.99 % (3779722)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4227237206:i=2186:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/2186Mi)
% 10.15/1.99 % (3779719)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=3974034303:i=88:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/88Mi)
% 10.15/1.99 % (3779720)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1628869274:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2988 on theBenchmark for (2988ds/93Mi)
% 10.15/1.99 % (3779710)Instruction limit reached!
% 10.15/1.99 % (3779710)------------------------------
% 10.15/1.99 % (3779710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.15/1.99 % (3779710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/1.99 % (3779710)CaDiCaL version: 2.1.3
% 10.15/1.99 % (3779710)Termination reason: Instruction limit
% 10.15/1.99 % (3779710)Termination phase: Saturation
% 10.15/1.99 % (3779710)Time elapsed: 0.124 s
% 10.15/1.99 % (3779710)Peak memory usage: 12 MB
% 10.15/1.99 % (3779710)Instructions burned: 149 (million)
% 10.15/1.99 % (3779712)Instruction limit reached!
% 10.15/1.99 % (3779712)------------------------------
% 10.15/1.99 % (3779712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.15/1.99 % (3779712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/1.99 % (3779712)CaDiCaL version: 2.1.3
% 10.15/1.99 % (3779712)Termination reason: Instruction limit
% 10.15/1.99 % (3779712)Termination phase: Saturation
% 10.15/1.99 % (3779712)Time elapsed: 0.098 s
% 10.15/1.99 % (3779712)Peak memory usage: 12 MB
% 10.15/1.99 % (3779712)Instructions burned: 163 (million)
% 10.15/1.99 % (3779726)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=288038497:s2a=on:i=240:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/240Mi)
% 13.10/2.19 % (3779719)Instruction limit reached!
% 13.10/2.19 % (3779719)------------------------------
% 13.10/2.19 % (3779719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.19 % (3779719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.19 % (3779719)CaDiCaL version: 2.1.3
% 13.10/2.19 % (3779719)Termination reason: Instruction limit
% 13.10/2.19 % (3779719)Termination phase: Saturation
% 13.10/2.19 % (3779719)Time elapsed: 0.065 s
% 13.10/2.19 % (3779719)Peak memory usage: 13 MB
% 13.10/2.19 % (3779719)Instructions burned: 88 (million)
% 13.10/2.19 % (3779727)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3283117487:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/805Mi)
% 13.10/2.19 % (3779720)Instruction limit reached!
% 13.10/2.19 % (3779720)------------------------------
% 13.10/2.19 % (3779720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.19 % (3779720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.19 % (3779720)CaDiCaL version: 2.1.3
% 13.10/2.19 % (3779720)Termination reason: Instruction limit
% 13.10/2.19 % (3779720)Termination phase: Saturation
% 13.10/2.19 % (3779720)Time elapsed: 0.076 s
% 13.10/2.19 % (3779720)Peak memory usage: 12 MB
% 13.10/2.19 % (3779720)Instructions burned: 94 (million)
% 13.10/2.19 % (3779729)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 13.10/2.19 % (3779729)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=223255229:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2987 on theBenchmark for (2987ds/391Mi)
% 13.10/2.19 % (3779729)Refutation not found, incomplete strategy
% 13.10/2.19 % (3779729)------------------------------
% 13.10/2.19 % (3779729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.19 % (3779729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.19 % (3779729)CaDiCaL version: 2.1.3
% 13.10/2.19 % (3779729)Termination reason: Refutation not found, incomplete strategy
% 13.10/2.19 % (3779729)Time elapsed: 0.002 s
% 13.10/2.19 % (3779729)Peak memory usage: 11 MB
% 13.10/2.19 % (3779729)Instructions burned: 1 (million)
% 13.10/2.19 % (3779729)------------------------------
% 13.10/2.19 % (3779729)------------------------------
% 13.10/2.19 % (3779731)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=189756076:i=355:av=off:fsr=off:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/355Mi)
% 13.10/2.19 % (3779734)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3159714514:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/314Mi)
% 13.10/2.19 % (3779734)Refutation not found, incomplete strategy
% 13.10/2.19 % (3779734)------------------------------
% 13.10/2.19 % (3779734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.19 % (3779734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.19 % (3779734)CaDiCaL version: 2.1.3
% 13.10/2.19 % (3779734)Termination reason: Refutation not found, incomplete strategy
% 13.10/2.19 % (3779734)Time elapsed: 0.002 s
% 13.10/2.19 % (3779734)Peak memory usage: 11 MB
% 13.10/2.19 % (3779734)Instructions burned: 1 (million)
% 13.10/2.19 % (3779734)------------------------------
% 13.10/2.19 % (3779734)------------------------------
% 13.10/2.19 % (3779737)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=369064745:s2a=on:i=251:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/251Mi)
% 13.10/2.19 % (3779726)Instruction limit reached!
% 13.10/2.19 % (3779726)------------------------------
% 13.10/2.19 % (3779726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.10/2.19 % (3779726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.19 % (3779726)CaDiCaL version: 2.1.3
% 13.10/2.19 % (3779726)Termination reason: Instruction limit
% 13.10/2.19 % (3779726)Termination phase: Saturation
% 13.10/2.19 % (3779726)Time elapsed: 0.160 s
% 13.10/2.19 % (3779726)Peak memory usage: 12 MB
% 13.10/2.19 % (3779726)Instructions burned: 240 (million)
% 13.10/2.19 % (3779742)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=699360081: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_2986 on theBenchmark for (2986ds/2470Mi)
% 13.55/2.30 % (3779731)Instruction limit reached!
% 13.55/2.30 % (3779731)------------------------------
% 13.55/2.30 % (3779731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.55/2.30 % (3779731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.55/2.30 % (3779731)CaDiCaL version: 2.1.3
% 13.55/2.30 % (3779731)Termination reason: Instruction limit
% 13.55/2.30 % (3779731)Termination phase: Saturation
% 13.55/2.30 % (3779731)Time elapsed: 0.269 s
% 13.55/2.30 % (3779731)Peak memory usage: 12 MB
% 13.55/2.30 % (3779731)Instructions burned: 355 (million)
% 13.55/2.30 % (3779737)Instruction limit reached!
% 13.55/2.30 % (3779737)------------------------------
% 13.55/2.30 % (3779737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.55/2.30 % (3779737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.55/2.30 % (3779737)CaDiCaL version: 2.1.3
% 13.55/2.30 % (3779737)Termination reason: Instruction limit
% 13.55/2.30 % (3779737)Termination phase: Saturation
% 13.55/2.30 % (3779737)Time elapsed: 0.209 s
% 13.55/2.30 % (3779737)Peak memory usage: 12 MB
% 13.55/2.30 % (3779737)Instructions burned: 252 (million)
% 13.55/2.30 % (3779748)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2355784854:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2984 on theBenchmark for (2984ds/673Mi)
% 13.55/2.30 % (3779692)Instruction limit reached!
% 13.55/2.30 % (3779692)------------------------------
% 13.55/2.30 % (3779692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.55/2.30 % (3779692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.55/2.30 % (3779692)CaDiCaL version: 2.1.3
% 13.55/2.30 % (3779692)Termination reason: Instruction limit
% 13.55/2.30 % (3779692)Termination phase: Saturation
% 13.55/2.30 % (3779692)Time elapsed: 0.633 s
% 13.55/2.30 % (3779692)Peak memory usage: 15 MB
% 13.55/2.30 % (3779692)Instructions burned: 866 (million)
% 13.55/2.30 % (3779749)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=811915771:i=116:ep=RSTC:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/116Mi)
% 13.55/2.30 % (3779751)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=519612492:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 13.55/2.30 % (3779749)Instruction limit reached!
% 13.55/2.30 % (3779749)------------------------------
% 13.55/2.30 % (3779749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.55/2.30 % (3779749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.55/2.30 % (3779749)CaDiCaL version: 2.1.3
% 13.55/2.30 % (3779749)Termination reason: Instruction limit
% 13.55/2.30 % (3779749)Termination phase: Saturation
% 13.55/2.30 % (3779749)Time elapsed: 0.083 s
% 13.55/2.30 % (3779749)Peak memory usage: 12 MB
% 13.55/2.30 % (3779749)Instructions burned: 117 (million)
% 13.55/2.30 % (3779755)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=1569186304:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/30Mi)
% 13.55/2.30 % (3779727)Instruction limit reached!
% 13.55/2.30 % (3779727)------------------------------
% 13.55/2.30 % (3779727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.55/2.30 % (3779727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.55/2.30 % (3779727)CaDiCaL version: 2.1.3
% 13.55/2.30 % (3779727)Termination reason: Instruction limit
% 13.55/2.30 % (3779727)Termination phase: Saturation
% 13.55/2.30 % (3779727)Time elapsed: 0.484 s
% 13.55/2.30 % (3779727)Peak memory usage: 13 MB
% 13.55/2.30 % (3779727)Instructions burned: 806 (million)
% 13.55/2.30 % (3779755)Instruction limit reached!
% 13.55/2.30 % (3779755)------------------------------
% 13.55/2.30 % (3779755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.55/2.30 % (3779755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.55/2.30 % (3779755)CaDiCaL version: 2.1.3
% 13.55/2.30 % (3779755)Termination reason: Instruction limit
% 15.14/2.50 % (3779755)Termination phase: Saturation
% 15.14/2.50 % (3779755)Time elapsed: 0.024 s
% 15.14/2.50 % (3779755)Peak memory usage: 12 MB
% 15.14/2.50 % (3779755)Instructions burned: 31 (million)
% 15.14/2.50 % (3779760)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 15.14/2.50 % (3779760)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=411340321:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2982 on theBenchmark for (2982ds/39Mi)
% 15.14/2.50 % (3779761)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1750949467:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/365Mi)
% 15.14/2.50 % (3779760)Instruction limit reached!
% 15.14/2.50 % (3779760)------------------------------
% 15.14/2.50 % (3779760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.14/2.50 % (3779760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.14/2.50 % (3779760)CaDiCaL version: 2.1.3
% 15.14/2.50 % (3779760)Termination reason: Instruction limit
% 15.14/2.50 % (3779760)Termination phase: Saturation
% 15.14/2.50 % (3779760)Time elapsed: 0.038 s
% 15.14/2.50 % (3779760)Peak memory usage: 12 MB
% 15.14/2.50 % (3779760)Instructions burned: 39 (million)
% 15.14/2.50 % (3779764)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3976753985:i=158:av=off:rtra=on_2982 on theBenchmark for (2982ds/158Mi)
% 15.14/2.50 % (3779751)Instruction limit reached!
% 15.14/2.50 % (3779751)------------------------------
% 15.14/2.50 % (3779751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.14/2.50 % (3779751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.14/2.50 % (3779751)CaDiCaL version: 2.1.3
% 15.14/2.50 % (3779751)Termination reason: Instruction limit
% 15.14/2.50 % (3779751)Termination phase: Saturation
% 15.14/2.50 % (3779751)Time elapsed: 0.215 s
% 15.14/2.50 % (3779751)Peak memory usage: 12 MB
% 15.14/2.50 % (3779751)Instructions burned: 270 (million)
% 15.14/2.50 % (3779768)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
% 15.14/2.50 % (3779768)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=961102187:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/252Mi)
% 15.14/2.50 % (3779722)Instruction limit reached!
% 15.14/2.50 % (3779722)------------------------------
% 15.14/2.50 % (3779722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.14/2.50 % (3779722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.14/2.50 % (3779722)CaDiCaL version: 2.1.3
% 15.14/2.50 % (3779722)Termination reason: Instruction limit
% 15.14/2.50 % (3779722)Termination phase: Saturation
% 15.14/2.50 % (3779722)Time elapsed: 0.718 s
% 15.14/2.50 % (3779722)Peak memory usage: 13 MB
% 15.14/2.50 % (3779722)Instructions burned: 2188 (million)
% 15.14/2.50 % (3779764)Instruction limit reached!
% 15.14/2.50 % (3779764)------------------------------
% 15.14/2.50 % (3779764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.14/2.50 % (3779764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.14/2.50 % (3779764)CaDiCaL version: 2.1.3
% 15.14/2.50 % (3779764)Termination reason: Instruction limit
% 15.14/2.50 % (3779764)Termination phase: Saturation
% 15.14/2.50 % (3779764)Time elapsed: 0.092 s
% 15.14/2.50 % (3779764)Peak memory usage: 12 MB
% 15.14/2.50 % (3779764)Instructions burned: 159 (million)
% 15.14/2.50 % (3779770)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3607621285:i=213:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/213Mi)
% 15.14/2.50 % (3779770)Refutation not found, incomplete strategy
% 15.14/2.50 % (3779770)------------------------------
% 15.14/2.50 % (3779770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.14/2.50 % (3779770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.14/2.50 % (3779770)CaDiCaL version: 2.1.3
% 15.14/2.50 % (3779770)Termination reason: Refutation not found, incomplete strategy
% 15.14/2.50 % (3779770)Time elapsed: 0.001 s
% 15.14/2.50 % (3779770)Peak memory usage: 11 MB
% 15.14/2.50 % (3779770)Instructions burned: 1 (million)
% 15.14/2.50 % (3779770)------------------------------
% 15.14/2.50 % (3779770)------------------------------
% 15.14/2.50 % (3779773)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2900339794:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/763Mi)
% 15.79/2.61 % (3779771)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=358905852:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/160Mi)
% 15.79/2.61 % (3779771)Refutation not found, incomplete strategy
% 15.79/2.61 % (3779771)------------------------------
% 15.79/2.61 % (3779771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.79/2.61 % (3779771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.79/2.61 % (3779771)CaDiCaL version: 2.1.3
% 15.79/2.61 % (3779771)Termination reason: Refutation not found, incomplete strategy
% 15.79/2.61 % (3779771)Time elapsed: 0.002 s
% 15.79/2.61 % (3779771)Peak memory usage: 11 MB
% 15.79/2.61 % (3779771)Instructions burned: 1 (million)
% 15.79/2.61 % (3779771)------------------------------
% 15.79/2.61 % (3779771)------------------------------
% 15.79/2.61 % (3779776)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 15.79/2.61 % (3779776)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=1662485166:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2980 on theBenchmark for (2980ds/237Mi)
% 15.79/2.61 % (3779776)Refutation not found, incomplete strategy
% 15.79/2.61 % (3779776)------------------------------
% 15.79/2.61 % (3779776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.79/2.61 % (3779776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.79/2.61 % (3779776)CaDiCaL version: 2.1.3
% 15.79/2.61 % (3779776)Termination reason: Refutation not found, incomplete strategy
% 15.79/2.61 % (3779776)Time elapsed: 0.001 s
% 15.79/2.61 % (3779776)Peak memory usage: 11 MB
% 15.79/2.61 % (3779776)------------------------------
% 15.79/2.61 % (3779776)------------------------------
% 15.79/2.61 % (3779748)Instruction limit reached!
% 15.79/2.61 % (3779748)------------------------------
% 15.79/2.61 % (3779748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.79/2.61 % (3779748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.79/2.61 % (3779748)CaDiCaL version: 2.1.3
% 15.79/2.61 % (3779748)Termination reason: Instruction limit
% 15.79/2.61 % (3779748)Termination phase: Saturation
% 15.79/2.61 % (3779748)Time elapsed: 0.417 s
% 15.79/2.61 % (3779748)Peak memory usage: 13 MB
% 15.79/2.61 % (3779748)Instructions burned: 673 (million)
% 15.79/2.61 % (3779778)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2078549277:s2a=on:i=386:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/386Mi)
% 15.79/2.61 % (3779761)Instruction limit reached!
% 15.79/2.61 % (3779761)------------------------------
% 15.79/2.61 % (3779761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.79/2.61 % (3779761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.79/2.61 % (3779761)CaDiCaL version: 2.1.3
% 15.79/2.61 % (3779761)Termination reason: Instruction limit
% 15.79/2.61 % (3779761)Termination phase: Saturation
% 15.79/2.61 % (3779761)Time elapsed: 0.231 s
% 15.79/2.61 % (3779761)Peak memory usage: 13 MB
% 15.79/2.61 % (3779761)Instructions burned: 366 (million)
% 15.79/2.61 % (3779779)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3772108740:i=300:piset=and:nm=32:rtra=on_2980 on theBenchmark for (2980ds/300Mi)
% 15.79/2.61 % (3779782)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2454872361:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/567Mi)
% 15.79/2.61 % (3779782)Refutation not found, incomplete strategy
% 15.79/2.61 % (3779782)------------------------------
% 15.79/2.61 % (3779782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.79/2.61 % (3779782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.79/2.61 % (3779782)CaDiCaL version: 2.1.3
% 15.79/2.61 % (3779782)Termination reason: Refutation not found, incomplete strategy
% 15.79/2.61 % (3779782)Time elapsed: 0.002 s
% 15.79/2.61 % (3779782)Peak memory usage: 12 MB
% 15.79/2.61 % (3779782)Instructions burned: 1 (million)
% 15.79/2.61 % (3779782)------------------------------
% 15.79/2.61 % (3779782)------------------------------
% 15.79/2.70 % (3779768)Instruction limit reached!
% 15.79/2.70 % (3779768)------------------------------
% 15.79/2.70 % (3779768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.79/2.70 % (3779768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.79/2.70 % (3779768)CaDiCaL version: 2.1.3
% 15.79/2.70 % (3779768)Termination reason: Instruction limit
% 15.79/2.70 % (3779768)Termination phase: Saturation
% 15.79/2.70 % (3779768)Time elapsed: 0.175 s
% 15.79/2.70 % (3779768)Peak memory usage: 13 MB
% 15.79/2.70 % (3779768)Instructions burned: 252 (million)
% 15.79/2.70 % (3779786)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=484522697:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2979 on theBenchmark for (2979ds/379Mi)
% 15.79/2.70 % (3779786)Refutation not found, incomplete strategy
% 15.79/2.70 % (3779786)------------------------------
% 15.79/2.70 % (3779786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.79/2.70 % (3779786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.79/2.70 % (3779786)CaDiCaL version: 2.1.3
% 16.98/2.70 % (3779786)Termination reason: Refutation not found, incomplete strategy
% 16.98/2.70 % (3779786)Time elapsed: 0.002 s
% 16.98/2.70 % (3779786)Peak memory usage: 11 MB
% 16.98/2.70 % (3779786)Instructions burned: 1 (million)
% 16.98/2.70 % (3779786)------------------------------
% 16.98/2.70 % (3779786)------------------------------
% 16.98/2.70 % (3779787)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=276244507:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2979 on theBenchmark for (2979ds/429Mi)
% 16.98/2.70 % (3779789)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1230968863:i=478:bd=all:rtra=on_2979 on theBenchmark for (2979ds/478Mi)
% 16.98/2.70 % (3779789)Refutation not found, incomplete strategy
% 16.98/2.70 % (3779789)------------------------------
% 16.98/2.70 % (3779789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.70 % (3779789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.70 % (3779789)CaDiCaL version: 2.1.3
% 16.98/2.70 % (3779789)Termination reason: Refutation not found, incomplete strategy
% 16.98/2.70 % (3779789)Time elapsed: 0.003 s
% 16.98/2.70 % (3779789)Peak memory usage: 12 MB
% 16.98/2.70 % (3779789)Instructions burned: 2 (million)
% 16.98/2.70 % (3779789)------------------------------
% 16.98/2.70 % (3779789)------------------------------
% 16.98/2.70 % (3779792)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3689422294:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2978 on theBenchmark for (2978ds/445Mi)
% 16.98/2.70 % (3779773)Instruction limit reached!
% 16.98/2.70 % (3779773)------------------------------
% 16.98/2.70 % (3779773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.70 % (3779773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.70 % (3779773)CaDiCaL version: 2.1.3
% 16.98/2.70 % (3779773)Termination reason: Instruction limit
% 16.98/2.70 % (3779773)Termination phase: Saturation
% 16.98/2.70 % (3779773)Time elapsed: 0.230 s
% 16.98/2.70 % (3779773)Peak memory usage: 14 MB
% 16.98/2.70 % (3779773)Instructions burned: 765 (million)
% 16.98/2.70 % (3779794)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3791250978:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/71Mi)
% 16.98/2.70 % (3779778)Instruction limit reached!
% 16.98/2.70 % (3779778)------------------------------
% 16.98/2.70 % (3779778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.70 % (3779778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.70 % (3779778)CaDiCaL version: 2.1.3
% 16.98/2.70 % (3779778)Termination reason: Instruction limit
% 16.98/2.70 % (3779778)Termination phase: Saturation
% 16.98/2.70 % (3779778)Time elapsed: 0.233 s
% 16.98/2.70 % (3779778)Peak memory usage: 12 MB
% 16.98/2.70 % (3779778)Instructions burned: 386 (million)
% 16.98/2.70 % (3779796)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4289639149:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/302Mi)
% 16.98/2.70 % (3779796)Refutation not found, incomplete strategy
% 16.98/2.70 % (3779796)------------------------------
% 16.98/2.70 % (3779796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.70 % (3779796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/2.82 % (3779796)CaDiCaL version: 2.1.3
% 17.47/2.82 % (3779796)Termination reason: Refutation not found, incomplete strategy
% 17.47/2.82 % (3779796)Time elapsed: 0.001 s
% 17.47/2.82 % (3779796)Peak memory usage: 11 MB
% 17.47/2.82 % (3779796)Instructions burned: 1 (million)
% 17.47/2.82 % (3779796)------------------------------
% 17.47/2.82 % (3779796)------------------------------
% 17.47/2.82 % (3779779)Instruction limit reached!
% 17.47/2.82 % (3779779)------------------------------
% 17.47/2.82 % (3779779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.47/2.82 % (3779779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/2.82 % (3779779)CaDiCaL version: 2.1.3
% 17.47/2.82 % (3779779)Termination reason: Instruction limit
% 17.47/2.82 % (3779779)Termination phase: Saturation
% 17.47/2.82 % (3779779)Time elapsed: 0.229 s
% 17.47/2.82 % (3779779)Peak memory usage: 12 MB
% 17.47/2.82 % (3779779)Instructions burned: 300 (million)
% 17.47/2.82 % (3779794)Instruction limit reached!
% 17.47/2.82 % (3779794)------------------------------
% 17.47/2.82 % (3779794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.47/2.83 % (3779794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/2.83 % (3779794)CaDiCaL version: 2.1.3
% 17.47/2.83 % (3779794)Termination reason: Instruction limit
% 17.47/2.83 % (3779794)Termination phase: Saturation
% 17.47/2.83 % (3779794)Time elapsed: 0.063 s
% 17.47/2.83 % (3779794)Peak memory usage: 12 MB
% 17.47/2.83 % (3779794)Instructions burned: 71 (million)
% 17.47/2.83 % (3779798)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3498115911:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/4980Mi)
% 17.47/2.83 % (3779798)Refutation not found, incomplete strategy
% 17.47/2.83 % (3779798)------------------------------
% 17.47/2.83 % (3779798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.47/2.83 % (3779798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/2.83 % (3779798)CaDiCaL version: 2.1.3
% 17.47/2.83 % (3779798)Termination reason: Refutation not found, incomplete strategy
% 17.47/2.83 % (3779798)Time elapsed: 0.001 s
% 17.47/2.83 % (3779798)Peak memory usage: 12 MB
% 17.47/2.83 % (3779798)Instructions burned: 1 (million)
% 17.47/2.83 % (3779798)------------------------------
% 17.47/2.83 % (3779798)------------------------------
% 17.47/2.83 % (3779799)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
% 17.47/2.83 % (3779799)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 17.47/2.83 % (3779799)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3045949505:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2977 on theBenchmark for (2977ds/100Mi)
% 17.47/2.83 % (3779800)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=695614195:i=76:piset=equals:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/76Mi)
% 17.47/2.83 % (3779802)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=4236996325:i=289:rtra=on_2977 on theBenchmark for (2977ds/289Mi)
% 17.47/2.83 % (3779802)Refutation not found, incomplete strategy
% 17.47/2.83 % (3779802)------------------------------
% 17.47/2.83 % (3779802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.47/2.83 % (3779802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/2.83 % (3779802)CaDiCaL version: 2.1.3
% 17.47/2.83 % (3779802)Termination reason: Refutation not found, incomplete strategy
% 17.47/2.83 % (3779802)Time elapsed: 0.003 s
% 17.47/2.83 % (3779802)Peak memory usage: 12 MB
% 17.47/2.83 % (3779802)Instructions burned: 2 (million)
% 17.47/2.83 % (3779802)------------------------------
% 17.47/2.83 % (3779802)------------------------------
% 17.47/2.83 % (3779806)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=2536572700:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2976 on theBenchmark for (2976ds/493Mi)
% 17.47/2.83 % (3779800)Instruction limit reached!
% 17.47/2.83 % (3779800)------------------------------
% 17.47/2.83 % (3779800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.81/3.00 % (3779800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.81/3.00 % (3779800)CaDiCaL version: 2.1.3
% 17.81/3.00 % (3779800)Termination reason: Instruction limit
% 17.81/3.00 % (3779800)Termination phase: Saturation
% 17.81/3.00 % (3779800)Time elapsed: 0.064 s
% 17.81/3.00 % (3779800)Peak memory usage: 12 MB
% 17.81/3.00 % (3779800)Instructions burned: 76 (million)
% 17.81/3.00 % (3779799)Instruction limit reached!
% 17.81/3.00 % (3779799)------------------------------
% 17.81/3.00 % (3779799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.81/3.00 % (3779799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.81/3.00 % (3779799)CaDiCaL version: 2.1.3
% 17.81/3.00 % (3779799)Termination reason: Instruction limit
% 17.81/3.00 % (3779799)Termination phase: Saturation
% 17.81/3.00 % (3779799)Time elapsed: 0.076 s
% 17.81/3.00 % (3779799)Peak memory usage: 12 MB
% 17.81/3.00 % (3779799)Instructions burned: 100 (million)
% 17.81/3.00 % (3779809)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 17.81/3.00 % (3779808)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=1964942560:cond=on:i=34:hud=10:nm=10:rtra=on_2976 on theBenchmark for (2976ds/34Mi)
% 17.81/3.00 % (3779809)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=2498695092:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2976 on theBenchmark for (2976ds/372Mi)
% 17.81/3.00 % (3779809)Refutation not found, incomplete strategy
% 17.81/3.00 % (3779809)------------------------------
% 17.81/3.00 % (3779809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.81/3.00 % (3779809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.81/3.00 % (3779809)CaDiCaL version: 2.1.3
% 17.81/3.00 % (3779809)Termination reason: Refutation not found, incomplete strategy
% 17.81/3.00 % (3779809)Time elapsed: 0.004 s
% 17.81/3.00 % (3779809)Peak memory usage: 11 MB
% 17.81/3.00 % (3779809)Instructions burned: 3 (million)
% 17.81/3.00 % (3779809)------------------------------
% 17.81/3.00 % (3779809)------------------------------
% 17.81/3.00 % (3779792)Instruction limit reached!
% 17.81/3.00 % (3779792)------------------------------
% 17.81/3.00 % (3779792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.81/3.00 % (3779792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.81/3.00 % (3779792)CaDiCaL version: 2.1.3
% 17.81/3.00 % (3779792)Termination reason: Instruction limit
% 17.81/3.00 % (3779792)Termination phase: Saturation
% 17.81/3.00 % (3779792)Time elapsed: 0.274 s
% 17.81/3.00 % (3779792)Peak memory usage: 14 MB
% 17.81/3.00 % (3779792)Instructions burned: 447 (million)
% 17.81/3.00 % (3779808)Instruction limit reached!
% 17.81/3.00 % (3779808)------------------------------
% 17.81/3.00 % (3779808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.81/3.00 % (3779808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.81/3.00 % (3779808)CaDiCaL version: 2.1.3
% 17.81/3.00 % (3779808)Termination reason: Instruction limit
% 17.81/3.00 % (3779808)Termination phase: Saturation
% 17.81/3.00 % (3779808)Time elapsed: 0.031 s
% 17.81/3.00 % (3779808)Peak memory usage: 12 MB
% 17.81/3.00 % (3779808)Instructions burned: 34 (million)
% 17.81/3.00 % (3779812)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1705761230:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2975 on theBenchmark for (2975ds/670Mi)
% 17.81/3.00 % (3779787)Instruction limit reached!
% 17.81/3.00 % (3779787)------------------------------
% 17.81/3.00 % (3779787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.81/3.00 % (3779787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.81/3.00 % (3779787)CaDiCaL version: 2.1.3
% 17.81/3.00 % (3779787)Termination reason: Instruction limit
% 17.81/3.00 % (3779787)Termination phase: Saturation
% 17.81/3.00 % (3779787)Time elapsed: 0.348 s
% 17.81/3.00 % (3779787)Peak memory usage: 13 MB
% 17.81/3.00 % (3779787)Instructions burned: 429 (million)
% 17.81/3.00 % (3779813)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2693330042:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/647Mi)
% 20.41/3.20 % (3779813)Refutation not found, incomplete strategy
% 20.41/3.20 % (3779813)------------------------------
% 20.41/3.20 % (3779813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.41/3.20 % (3779813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.41/3.20 % (3779813)CaDiCaL version: 2.1.3
% 20.41/3.20 % (3779813)Termination reason: Refutation not found, incomplete strategy
% 20.41/3.20 % (3779813)Time elapsed: 0.002 s
% 20.41/3.20 % (3779813)Peak memory usage: 11 MB
% 20.41/3.20 % (3779813)Instructions burned: 1 (million)
% 20.41/3.20 % (3779813)------------------------------
% 20.41/3.20 % (3779813)------------------------------
% 20.41/3.20 % (3779814)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=614129530:i=857:add=off:kws=frequency:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/857Mi)
% 20.41/3.20 % (3779816)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=2576090876:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2975 on theBenchmark for (2975ds/693Mi)
% 20.41/3.20 % (3779819)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1168740835:i=285:hud=10:bd=all:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/285Mi)
% 20.41/3.20 % (3779819)Refutation not found, incomplete strategy
% 20.41/3.20 % (3779819)------------------------------
% 20.41/3.20 % (3779819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.41/3.20 % (3779819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.41/3.20 % (3779819)CaDiCaL version: 2.1.3
% 20.41/3.20 % (3779819)Termination reason: Refutation not found, incomplete strategy
% 20.41/3.20 % (3779819)Time elapsed: 0.002 s
% 20.41/3.20 % (3779819)Peak memory usage: 11 MB
% 20.41/3.20 % (3779819)Instructions burned: 1 (million)
% 20.41/3.20 % (3779819)------------------------------
% 20.41/3.20 % (3779819)------------------------------
% 20.41/3.20 % (3779822)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 20.41/3.20 % (3779822)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=1721056239:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2975 on theBenchmark for (2975ds/52Mi)
% 20.41/3.20 % (3779806)Instruction limit reached!
% 20.41/3.20 % (3779806)------------------------------
% 20.41/3.20 % (3779806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.41/3.20 % (3779806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.41/3.20 % (3779806)CaDiCaL version: 2.1.3
% 20.41/3.20 % (3779806)Termination reason: Instruction limit
% 20.41/3.20 % (3779806)Termination phase: Saturation
% 20.41/3.20 % (3779806)Time elapsed: 0.207 s
% 20.41/3.20 % (3779806)Peak memory usage: 12 MB
% 20.41/3.20 % (3779806)Instructions burned: 496 (million)
% 20.41/3.20 % (3779822)Instruction limit reached!
% 20.41/3.20 % (3779822)------------------------------
% 20.41/3.20 % (3779822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.41/3.20 % (3779822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.41/3.20 % (3779822)CaDiCaL version: 2.1.3
% 20.41/3.20 % (3779822)Termination reason: Instruction limit
% 20.41/3.20 % (3779822)Termination phase: Saturation
% 20.41/3.20 % (3779822)Time elapsed: 0.036 s
% 20.41/3.20 % (3779822)Peak memory usage: 12 MB
% 20.41/3.20 % (3779822)Instructions burned: 52 (million)
% 20.41/3.20 % (3779824)dis+10_1_si=on:random_seed=138089883:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2974 on theBenchmark for (2974ds/407Mi)
% 20.41/3.20 % (3779824)Refutation not found, incomplete strategy
% 20.41/3.20 % (3779824)------------------------------
% 20.41/3.20 % (3779824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.41/3.20 % (3779824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.41/3.20 % (3779824)CaDiCaL version: 2.1.3
% 20.41/3.20 % (3779824)Termination reason: Refutation not found, incomplete strategy
% 20.41/3.20 % (3779824)Time elapsed: 0.001 s
% 20.41/3.20 % (3779824)Peak memory usage: 12 MB
% 20.41/3.20 % (3779824)Instructions burned: 1 (million)
% 20.41/3.20 % (3779824)------------------------------
% 20.41/3.20 % (3779824)------------------------------
% 20.41/3.20 % (3779825)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=2199929804:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/2240Mi)
% 21.54/3.54 % (3779828)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1468141288:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/336Mi)
% 21.54/3.54 % (3779828)Refutation not found, incomplete strategy
% 21.54/3.54 % (3779828)------------------------------
% 21.54/3.54 % (3779828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.54/3.54 % (3779828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.54/3.54 % (3779828)CaDiCaL version: 2.1.3
% 21.54/3.54 % (3779828)Termination reason: Refutation not found, incomplete strategy
% 21.54/3.54 % (3779828)Time elapsed: 0.001 s
% 21.54/3.54 % (3779828)Peak memory usage: 11 MB
% 21.54/3.54 % (3779828)Instructions burned: 1 (million)
% 21.54/3.54 % (3779828)------------------------------
% 21.54/3.54 % (3779828)------------------------------
% 21.54/3.54 % (3779830)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=278777421:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2973 on theBenchmark for (2973ds/1142Mi)
% 21.54/3.54 % (3779830)Refutation not found, incomplete strategy
% 21.54/3.54 % (3779830)------------------------------
% 21.54/3.54 % (3779830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.54/3.54 % (3779830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.54/3.54 % (3779830)CaDiCaL version: 2.1.3
% 21.54/3.54 % (3779830)Termination reason: Refutation not found, incomplete strategy
% 21.54/3.54 % (3779830)Time elapsed: 0.030 s
% 21.54/3.54 % (3779830)Peak memory usage: 12 MB
% 21.54/3.54 % (3779830)Instructions burned: 34 (million)
% 21.54/3.54 % (3779830)------------------------------
% 21.54/3.54 % (3779830)------------------------------
% 21.54/3.54 % (3779832)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=759713533:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/376Mi)
% 21.54/3.54 % (3779832)Refutation not found, incomplete strategy
% 21.54/3.54 % (3779832)------------------------------
% 21.54/3.54 % (3779832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.54/3.54 % (3779832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.54/3.54 % (3779832)CaDiCaL version: 2.1.3
% 21.54/3.54 % (3779832)Termination reason: Refutation not found, incomplete strategy
% 21.54/3.54 % (3779832)Time elapsed: 0.001 s
% 21.54/3.54 % (3779832)Peak memory usage: 12 MB
% 21.54/3.54 % (3779832)Instructions burned: 1 (million)
% 21.54/3.54 % (3779832)------------------------------
% 21.54/3.54 % (3779832)------------------------------
% 21.54/3.54 % (3779834)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2073800836:i=766:bd=all:rtra=on_2973 on theBenchmark for (2973ds/766Mi)
% 21.54/3.54 % (3779834)Refutation not found, incomplete strategy
% 21.54/3.54 % (3779834)------------------------------
% 21.54/3.54 % (3779834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.54/3.54 % (3779834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.54/3.54 % (3779834)CaDiCaL version: 2.1.3
% 21.54/3.54 % (3779834)Termination reason: Refutation not found, incomplete strategy
% 21.54/3.54 % (3779834)Time elapsed: 0.002 s
% 21.54/3.54 % (3779834)Peak memory usage: 12 MB
% 21.54/3.54 % (3779834)Instructions burned: 2 (million)
% 21.54/3.54 % (3779834)------------------------------
% 21.54/3.54 % (3779834)------------------------------
% 21.54/3.54 % (3779836)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 21.54/3.54 % (3779836)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2832791649: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_2972 on theBenchmark for (2972ds/959Mi)
% 21.54/3.54 % (3779836)Refutation not found, incomplete strategy
% 21.54/3.54 % (3779836)------------------------------
% 21.54/3.54 % (3779836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.54/3.54 % (3779836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.54/3.54 % (3779836)CaDiCaL version: 2.1.3
% 21.54/3.54 % (3779836)Termination reason: Refutation not found, incomplete strategy
% 21.54/3.54 % (3779836)Time elapsed: 0.002 s
% 22.86/3.71 % (3779836)Peak memory usage: 11 MB
% 22.86/3.71 % (3779836)Instructions burned: 1 (million)
% 22.86/3.71 % (3779836)------------------------------
% 22.86/3.71 % (3779836)------------------------------
% 22.86/3.71 % (3779814)Instruction limit reached!
% 22.86/3.71 % (3779814)------------------------------
% 22.86/3.71 % (3779814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/3.71 % (3779814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/3.71 % (3779814)CaDiCaL version: 2.1.3
% 22.86/3.71 % (3779814)Termination reason: Instruction limit
% 22.86/3.71 % (3779814)Termination phase: Saturation
% 22.86/3.71 % (3779814)Time elapsed: 0.322 s
% 22.86/3.71 % (3779814)Peak memory usage: 12 MB
% 22.86/3.71 % (3779814)Instructions burned: 858 (million)
% 22.86/3.71 % (3779838)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=2966297829:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2972 on theBenchmark for (2972ds/6359Mi)
% 22.86/3.71 % (3779839)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3851187224:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2972 on theBenchmark for (2972ds/35Mi)
% 22.86/3.71 % (3779839)Refutation not found, incomplete strategy
% 22.86/3.71 % (3779839)------------------------------
% 22.86/3.71 % (3779839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/3.71 % (3779839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/3.71 % (3779839)CaDiCaL version: 2.1.3
% 22.86/3.71 % (3779839)Termination reason: Refutation not found, incomplete strategy
% 22.86/3.71 % (3779839)Time elapsed: 0.001 s
% 22.86/3.71 % (3779839)Peak memory usage: 11 MB
% 22.86/3.71 % (3779839)------------------------------
% 22.86/3.71 % (3779839)------------------------------
% 22.86/3.71 % (3779842)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3683212931:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/53Mi)
% 22.86/3.71 % (3779842)Instruction limit reached!
% 22.86/3.71 % (3779842)------------------------------
% 22.86/3.71 % (3779842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/3.71 % (3779842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/3.71 % (3779842)CaDiCaL version: 2.1.3
% 22.86/3.71 % (3779842)Termination reason: Instruction limit
% 22.86/3.71 % (3779842)Termination phase: Saturation
% 22.86/3.71 % (3779842)Time elapsed: 0.033 s
% 22.86/3.71 % (3779842)Peak memory usage: 12 MB
% 22.86/3.71 % (3779842)Instructions burned: 53 (million)
% 22.86/3.71 % (3779844)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=408088057:s2a=on:i=876:s2at=6:nm=2:rtra=on_2971 on theBenchmark for (2971ds/876Mi)
% 22.86/3.71 % (3779812)Instruction limit reached!
% 22.86/3.71 % (3779812)------------------------------
% 22.86/3.71 % (3779812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/3.71 % (3779812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/3.71 % (3779812)CaDiCaL version: 2.1.3
% 22.86/3.71 % (3779812)Termination reason: Instruction limit
% 22.86/3.71 % (3779812)Termination phase: Saturation
% 22.86/3.71 % (3779812)Time elapsed: 0.453 s
% 22.86/3.71 % (3779812)Peak memory usage: 12 MB
% 22.86/3.71 % (3779812)Instructions burned: 670 (million)
% 22.86/3.71 % (3779846)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1978530470:i=57:ep=R:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/57Mi)
% 22.86/3.71 % (3779846)Instruction limit reached!
% 22.86/3.71 % (3779846)------------------------------
% 22.86/3.71 % (3779846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/3.71 % (3779846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/3.71 % (3779846)CaDiCaL version: 2.1.3
% 22.86/3.71 % (3779846)Termination reason: Instruction limit
% 22.86/3.71 % (3779846)Termination phase: Saturation
% 22.86/3.71 % (3779846)Time elapsed: 0.026 s
% 22.86/3.71 % (3779846)Peak memory usage: 12 MB
% 22.86/3.71 % (3779846)Instructions burned: 60 (million)
% 22.86/3.71 % (3779816)Instruction limit reached!
% 22.86/3.71 % (3779816)------------------------------
% 22.86/3.71 % (3779816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.86/3.71 % (3779816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.00/3.84 % (3779816)CaDiCaL version: 2.1.3
% 24.00/3.84 % (3779816)Termination reason: Instruction limit
% 24.00/3.84 % (3779816)Termination phase: Saturation
% 24.00/3.84 % (3779816)Time elapsed: 0.477 s
% 24.00/3.84 % (3779816)Peak memory usage: 13 MB
% 24.00/3.84 % (3779816)Instructions burned: 693 (million)
% 24.00/3.84 % (3779848)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 24.00/3.84 % (3779848)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=109387424:i=306:bd=all:rtra=on_2970 on theBenchmark for (2970ds/306Mi)
% 24.00/3.84 % (3779848)Refutation not found, incomplete strategy
% 24.00/3.84 % (3779848)------------------------------
% 24.00/3.84 % (3779848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.00/3.84 % (3779848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.00/3.84 % (3779848)CaDiCaL version: 2.1.3
% 24.00/3.84 % (3779848)Termination reason: Refutation not found, incomplete strategy
% 24.00/3.84 % (3779848)Time elapsed: 0.001 s
% 24.00/3.84 % (3779848)Peak memory usage: 12 MB
% 24.00/3.84 % (3779848)Instructions burned: 2 (million)
% 24.00/3.84 % (3779848)------------------------------
% 24.00/3.84 % (3779848)------------------------------
% 24.00/3.84 % (3779849)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=4240328688:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/262Mi)
% 24.00/3.84 % (3779849)Refutation not found, incomplete strategy
% 24.00/3.84 % (3779849)------------------------------
% 24.00/3.84 % (3779849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.00/3.84 % (3779849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.00/3.84 % (3779849)CaDiCaL version: 2.1.3
% 24.00/3.84 % (3779849)Termination reason: Refutation not found, incomplete strategy
% 24.00/3.84 % (3779849)Time elapsed: 0.001 s
% 24.00/3.84 % (3779849)Peak memory usage: 11 MB
% 24.00/3.84 % (3779849)Instructions burned: 1 (million)
% 24.00/3.84 % (3779849)------------------------------
% 24.00/3.84 % (3779849)------------------------------
% 24.00/3.84 % (3779851)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 24.00/3.84 % (3779851)ott+1002_16_sil=128000:si=on:random_seed=630534130:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2970 on theBenchmark for (2970ds/409Mi)
% 24.00/3.84 % (3779853)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3805582905:s2a=on:i=381:rtra=on_2970 on theBenchmark for (2970ds/381Mi)
% 24.00/3.84 % (3779851)Instruction limit reached!
% 24.00/3.84 % (3779851)------------------------------
% 24.00/3.84 % (3779851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.00/3.84 % (3779851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.00/3.84 % (3779851)CaDiCaL version: 2.1.3
% 24.00/3.84 % (3779851)Termination reason: Instruction limit
% 24.00/3.84 % (3779851)Termination phase: Saturation
% 24.00/3.84 % (3779851)Time elapsed: 0.137 s
% 24.00/3.84 % (3779851)Peak memory usage: 13 MB
% 24.00/3.84 % (3779851)Instructions burned: 409 (million)
% 24.00/3.84 % (3779856)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1496104998:cond=on:i=324:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/324Mi)
% 24.00/3.84 % (3779853)Instruction limit reached!
% 24.00/3.84 % (3779853)------------------------------
% 24.00/3.84 % (3779853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.00/3.84 % (3779853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.00/3.84 % (3779853)CaDiCaL version: 2.1.3
% 24.00/3.84 % (3779853)Termination reason: Instruction limit
% 24.00/3.84 % (3779853)Termination phase: Saturation
% 24.00/3.84 % (3779853)Time elapsed: 0.276 s
% 24.00/3.84 % (3779853)Peak memory usage: 12 MB
% 24.00/3.84 % (3779853)Instructions burned: 382 (million)
% 24.00/3.84 % (3779856)Instruction limit reached!
% 24.00/3.84 % (3779856)------------------------------
% 24.00/3.84 % (3779856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.00/3.84 % (3779856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.00/3.84 % (3779856)CaDiCaL version: 2.1.3
% 24.00/3.84 % (3779856)Termination reason: Instruction limit
% 24.00/3.84 % (3779856)Termination phase: Saturation
% 24.00/3.84 % (3779856)Time elapsed: 0.140 s
% 24.00/3.84 % (3779856)Peak memory usage: 13 MB
% 24.00/3.84 % (3779856)Instructions burned: 324 (million)
% 24.00/3.84 % (3779858)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3614918195:i=240:kws=inv_precedence:rtra=on_2967 on theBenchmark for (2967ds/240Mi)
% 27.16/4.18 % (3779858)Refutation not found, incomplete strategy
% 27.16/4.18 % (3779858)------------------------------
% 27.16/4.18 % (3779858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.16/4.18 % (3779858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.16/4.18 % (3779858)CaDiCaL version: 2.1.3
% 27.16/4.18 % (3779858)Termination reason: Refutation not found, incomplete strategy
% 27.16/4.18 % (3779858)Time elapsed: 0.002 s
% 27.16/4.18 % (3779858)Peak memory usage: 12 MB
% 27.16/4.18 % (3779858)Instructions burned: 2 (million)
% 27.16/4.18 % (3779858)------------------------------
% 27.16/4.18 % (3779858)------------------------------
% 27.16/4.18 % (3779859)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.16/4.18 % (3779859)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1086872636:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/124Mi)
% 27.16/4.18 % (3779861)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2746039028:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2967 on theBenchmark for (2967ds/223Mi)
% 27.16/4.18 % (3779742)Instruction limit reached!
% 27.16/4.18 % (3779742)------------------------------
% 27.16/4.18 % (3779742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.16/4.18 % (3779742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.16/4.18 % (3779742)CaDiCaL version: 2.1.3
% 27.16/4.18 % (3779742)Termination reason: Instruction limit
% 27.16/4.18 % (3779742)Termination phase: Saturation
% 27.16/4.18 % (3779742)Time elapsed: 1.977 s
% 27.16/4.18 % (3779742)Peak memory usage: 17 MB
% 27.16/4.18 % (3779742)Instructions burned: 2470 (million)
% 27.16/4.18 % (3779859)Instruction limit reached!
% 27.16/4.18 % (3779859)------------------------------
% 27.16/4.18 % (3779859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.16/4.18 % (3779859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.16/4.18 % (3779859)CaDiCaL version: 2.1.3
% 27.16/4.18 % (3779859)Termination reason: Instruction limit
% 27.16/4.18 % (3779859)Termination phase: Saturation
% 27.16/4.18 % (3779859)Time elapsed: 0.084 s
% 27.16/4.18 % (3779859)Peak memory usage: 12 MB
% 27.16/4.18 % (3779859)Instructions burned: 126 (million)
% 27.16/4.18 % (3779869)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1592922182:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2966 on theBenchmark for (2966ds/282Mi)
% 27.16/4.18 % (3779870)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=270662385:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/464Mi)
% 27.16/4.18 % (3779870)Refutation not found, incomplete strategy
% 27.16/4.18 % (3779870)------------------------------
% 27.16/4.18 % (3779870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.16/4.18 % (3779870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.16/4.18 % (3779870)CaDiCaL version: 2.1.3
% 27.16/4.18 % (3779870)Termination reason: Refutation not found, incomplete strategy
% 27.16/4.18 % (3779870)Time elapsed: 0.002 s
% 27.16/4.18 % (3779870)Peak memory usage: 11 MB
% 27.16/4.18 % (3779870)Instructions burned: 1 (million)
% 27.16/4.18 % (3779861)Instruction limit reached!
% 27.16/4.18 % (3779861)------------------------------
% 27.16/4.18 % (3779861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.16/4.18 % (3779861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.16/4.18 % (3779861)CaDiCaL version: 2.1.3
% 27.16/4.18 % (3779861)Termination reason: Instruction limit
% 27.16/4.18 % (3779861)Termination phase: Saturation
% 27.16/4.18 % (3779861)Time elapsed: 0.113 s
% 27.16/4.18 % (3779861)Peak memory usage: 13 MB
% 27.16/4.18 % (3779861)Instructions burned: 225 (million)
% 27.16/4.18 % (3779870)------------------------------
% 27.16/4.18 % (3779870)------------------------------
% 27.16/4.18 % (3779874)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=1849872843:i=88:s2at=3:nm=2:rtra=on:rawr=on_2965 on theBenchmark for (2965ds/88Mi)
% 27.16/4.18 % (3779875)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=625493662:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2965 on theBenchmark for (2965ds/280Mi)
% 28.88/4.47 % (3779874)Instruction limit reached!
% 28.88/4.47 % (3779874)------------------------------
% 28.88/4.47 % (3779874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/4.47 % (3779874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/4.47 % (3779874)CaDiCaL version: 2.1.3
% 28.88/4.47 % (3779874)Termination reason: Instruction limit
% 28.88/4.47 % (3779874)Termination phase: Saturation
% 28.88/4.47 % (3779874)Time elapsed: 0.072 s
% 28.88/4.47 % (3779874)Peak memory usage: 12 MB
% 28.88/4.47 % (3779874)Instructions burned: 89 (million)
% 28.88/4.47 % (3779844)Instruction limit reached!
% 28.88/4.47 % (3779844)------------------------------
% 28.88/4.47 % (3779844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/4.47 % (3779844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/4.47 % (3779844)CaDiCaL version: 2.1.3
% 28.88/4.47 % (3779844)Termination reason: Instruction limit
% 28.88/4.47 % (3779844)Termination phase: Saturation
% 28.88/4.47 % (3779844)Time elapsed: 0.666 s
% 28.88/4.47 % (3779844)Peak memory usage: 13 MB
% 28.88/4.47 % (3779844)Instructions burned: 876 (million)
% 28.88/4.47 % (3779869)Instruction limit reached!
% 28.88/4.47 % (3779869)------------------------------
% 28.88/4.47 % (3779869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/4.47 % (3779869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/4.47 % (3779869)CaDiCaL version: 2.1.3
% 28.88/4.47 % (3779869)Termination reason: Instruction limit
% 28.88/4.47 % (3779869)Termination phase: Saturation
% 28.88/4.47 % (3779869)Time elapsed: 0.131 s
% 28.88/4.47 % (3779869)Peak memory usage: 14 MB
% 28.88/4.47 % (3779869)Instructions burned: 283 (million)
% 28.88/4.47 % (3779878)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 28.88/4.47 % (3779878)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1492420976:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/4386Mi)
% 28.88/4.47 % (3779879)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 28.88/4.47 % (3779879)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 28.88/4.47 % (3779879)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=2822656372:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2964 on theBenchmark for (2964ds/483Mi)
% 28.88/4.47 % (3779879)Refutation not found, incomplete strategy
% 28.88/4.47 % (3779879)------------------------------
% 28.88/4.47 % (3779879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/4.47 % (3779879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/4.47 % (3779879)CaDiCaL version: 2.1.3
% 28.88/4.47 % (3779879)Termination reason: Refutation not found, incomplete strategy
% 28.88/4.47 % (3779879)Time elapsed: 0.001 s
% 28.88/4.47 % (3779879)Peak memory usage: 12 MB
% 28.88/4.47 % (3779879)Instructions burned: 1 (million)
% 28.88/4.47 % (3779879)------------------------------
% 28.88/4.47 % (3779879)------------------------------
% 28.88/4.47 % (3779880)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3246843680:i=73:rtra=on_2964 on theBenchmark for (2964ds/73Mi)
% 28.88/4.47 % (3779880)Refutation not found, incomplete strategy
% 28.88/4.47 % (3779880)------------------------------
% 28.88/4.47 % (3779880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.88/4.47 % (3779880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.88/4.47 % (3779880)CaDiCaL version: 2.1.3
% 28.88/4.47 % (3779880)Termination reason: Refutation not found, incomplete strategy
% 28.88/4.47 % (3779880)Time elapsed: 0.003 s
% 28.88/4.47 % (3779880)Peak memory usage: 12 MB
% 28.88/4.47 % (3779880)Instructions burned: 2 (million)
% 28.88/4.47 % (3779880)------------------------------
% 28.88/4.47 % (3779880)------------------------------
% 28.88/4.47 % (3779883)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2986255795:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2964 on theBenchmark for (2964ds/176Mi)
% 30.76/4.78 % (3779885)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 30.76/4.78 % (3779885)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3420293571:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2964 on theBenchmark for (2964ds/39Mi)
% 30.76/4.78 % (3779885)Instruction limit reached!
% 30.76/4.78 % (3779885)------------------------------
% 30.76/4.78 % (3779885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779885)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779885)Termination reason: Instruction limit
% 30.76/4.78 % (3779885)Termination phase: Saturation
% 30.76/4.78 % (3779885)Time elapsed: 0.024 s
% 30.76/4.78 % (3779885)Peak memory usage: 12 MB
% 30.76/4.78 % (3779885)Instructions burned: 40 (million)
% 30.76/4.78 % (3779888)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3558961444:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2963 on theBenchmark for (2963ds/708Mi)
% 30.76/4.78 % (3779875)Instruction limit reached!
% 30.76/4.78 % (3779875)------------------------------
% 30.76/4.78 % (3779875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779875)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779875)Termination reason: Instruction limit
% 30.76/4.78 % (3779875)Termination phase: Saturation
% 30.76/4.78 % (3779875)Time elapsed: 0.230 s
% 30.76/4.78 % (3779875)Peak memory usage: 13 MB
% 30.76/4.78 % (3779875)Instructions burned: 280 (million)
% 30.76/4.78 % (3779890)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
% 30.76/4.78 % (3779890)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=2479625718:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/252Mi)
% 30.76/4.78 % (3779883)Instruction limit reached!
% 30.76/4.78 % (3779883)------------------------------
% 30.76/4.78 % (3779883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779883)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779883)Termination reason: Instruction limit
% 30.76/4.78 % (3779883)Termination phase: Saturation
% 30.76/4.78 % (3779883)Time elapsed: 0.156 s
% 30.76/4.78 % (3779883)Peak memory usage: 12 MB
% 30.76/4.78 % (3779883)Instructions burned: 176 (million)
% 30.76/4.78 % (3779892)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=1974400241:i=823:fsr=off:rtra=on_2962 on theBenchmark for (2962ds/823Mi)
% 30.76/4.78 % (3779890)Instruction limit reached!
% 30.76/4.78 % (3779890)------------------------------
% 30.76/4.78 % (3779890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779890)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779890)Termination reason: Instruction limit
% 30.76/4.78 % (3779890)Termination phase: Saturation
% 30.76/4.78 % (3779890)Time elapsed: 0.173 s
% 30.76/4.78 % (3779890)Peak memory usage: 12 MB
% 30.76/4.78 % (3779890)Instructions burned: 253 (million)
% 30.76/4.78 % (3779894)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 30.76/4.78 % (3779894)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1567895960:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/16202Mi)
% 30.76/4.78 % (3779894)Refutation not found, incomplete strategy
% 30.76/4.78 % (3779894)------------------------------
% 30.76/4.78 % (3779894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779894)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779894)Termination reason: Refutation not found, incomplete strategy
% 30.76/4.78 % (3779894)Time elapsed: 0.002 s
% 30.76/4.78 % (3779894)Peak memory usage: 12 MB
% 30.76/4.78 % (3779894)Instructions burned: 1 (million)
% 30.76/4.78 % (3779894)------------------------------
% 30.76/4.78 % (3779894)------------------------------
% 30.76/4.78 % (3779896)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3893497436:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/300Mi)
% 30.76/4.78 % (3779888)Instruction limit reached!
% 30.76/4.78 % (3779888)------------------------------
% 30.76/4.78 % (3779888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779888)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779888)Termination reason: Instruction limit
% 30.76/4.78 % (3779888)Termination phase: Saturation
% 30.76/4.78 % (3779888)Time elapsed: 0.417 s
% 30.76/4.78 % (3779888)Peak memory usage: 13 MB
% 30.76/4.78 % (3779888)Instructions burned: 710 (million)
% 30.76/4.78 % (3779898)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 30.76/4.78 % (3779898)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 30.76/4.78 % (3779898)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2396514180:i=177:add=on:bd=preordered:rtra=on:rawr=on_2959 on theBenchmark for (2959ds/177Mi)
% 30.76/4.78 % (3779896)Instruction limit reached!
% 30.76/4.78 % (3779896)------------------------------
% 30.76/4.78 % (3779896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779896)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779896)Termination reason: Instruction limit
% 30.76/4.78 % (3779896)Termination phase: Saturation
% 30.76/4.78 % (3779896)Time elapsed: 0.231 s
% 30.76/4.78 % (3779896)Peak memory usage: 12 MB
% 30.76/4.78 % (3779896)Instructions burned: 300 (million)
% 30.76/4.78 % (3779898)Instruction limit reached!
% 30.76/4.78 % (3779898)------------------------------
% 30.76/4.78 % (3779898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779898)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779898)Termination reason: Instruction limit
% 30.76/4.78 % (3779898)Termination phase: Saturation
% 30.76/4.78 % (3779898)Time elapsed: 0.105 s
% 30.76/4.78 % (3779898)Peak memory usage: 12 MB
% 30.76/4.78 % (3779898)Instructions burned: 177 (million)
% 30.76/4.78 % (3779825)Instruction limit reached!
% 30.76/4.78 % (3779825)------------------------------
% 30.76/4.78 % (3779825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779825)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779825)Termination reason: Instruction limit
% 30.76/4.78 % (3779825)Termination phase: Saturation
% 30.76/4.78 % (3779825)Time elapsed: 1.624 s
% 30.76/4.78 % (3779825)Peak memory usage: 17 MB
% 30.76/4.78 % (3779825)Instructions burned: 2240 (million)
% 30.76/4.78 % (3779900)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=121609119:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/715Mi)
% 30.76/4.78 % (3779900)Refutation not found, incomplete strategy
% 30.76/4.78 % (3779900)------------------------------
% 30.76/4.78 % (3779900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779900)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779900)Termination reason: Refutation not found, incomplete strategy
% 30.76/4.78 % (3779900)Time elapsed: 0.003 s
% 30.76/4.78 % (3779900)Peak memory usage: 11 MB
% 30.76/4.78 % (3779900)Instructions burned: 2 (million)
% 30.76/4.78 % (3779900)------------------------------
% 30.76/4.78 % (3779900)------------------------------
% 30.76/4.78 % (3779901)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 30.76/4.78 % (3779901)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 30.76/4.78 % (3779901)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=3337264514:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2958 on theBenchmark for (2958ds/230Mi)
% 30.76/4.78 % (3779902)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2916578486:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2958 on theBenchmark for (2958ds/606Mi)
% 30.76/4.78 % (3779901)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.76/4.78 % (3779904)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 30.76/4.78 % (3779904)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=209830334:lrd=on:i=841:nm=0:rtra=on_2957 on theBenchmark for (2957ds/841Mi)
% 30.76/4.78 % (3779892)Instruction limit reached!
% 30.76/4.78 % (3779892)------------------------------
% 30.76/4.78 % (3779892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779892)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779892)Termination reason: Instruction limit
% 30.76/4.78 % (3779892)Termination phase: Saturation
% 30.76/4.78 % (3779892)Time elapsed: 0.621 s
% 30.76/4.78 % (3779892)Peak memory usage: 14 MB
% 30.76/4.78 % (3779892)Instructions burned: 824 (million)
% 30.76/4.78 % (3779901)Instruction limit reached!
% 30.76/4.78 % (3779901)------------------------------
% 30.76/4.78 % (3779901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779901)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779901)Termination reason: Instruction limit
% 30.76/4.78 % (3779901)Termination phase: Saturation
% 30.76/4.78 % (3779901)Time elapsed: 0.187 s
% 30.76/4.78 % (3779901)Peak memory usage: 12 MB
% 30.76/4.78 % (3779901)Instructions burned: 230 (million)
% 30.76/4.78 % (3779910)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3885491044:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2956 on theBenchmark for (2956ds/445Mi)
% 30.76/4.78 % (3779838) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3779327-3779838"...
% 30.76/4.78 % (3779912)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=819887699:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2955 on theBenchmark for (2955ds/71Mi)
% 30.76/4.78 % (3779912)Instruction limit reached!
% 30.76/4.78 % (3779912)------------------------------
% 30.76/4.78 % (3779912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.76/4.78 % (3779912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.76/4.78 % (3779912)CaDiCaL version: 2.1.3
% 30.76/4.78 % (3779912)Termination reason: Instruction limit
% 30.76/4.78 % (3779912)Termination phase: Saturation
% 30.76/4.78 % (3779912)Time elapsed: 0.053 s
% 30.76/4.78 % (3779912)Peak memory usage: 12 MB
% 30.76/4.78 % (3779912)Instructions burned: 73 (million)
% 30.76/4.78 % (3779919)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
% 30.76/4.78 % (3779919)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 30.76/4.78 % (3779919)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3576318568:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2955 on theBenchmark for (2955ds/100Mi)
% 30.76/4.78 % (3779838)...printing done.
% 30.76/4.78 % (3779838)Refutation found. Thanks to Tanya!
% 30.76/4.78 % SZS status Unsatisfiable for theBenchmark
% 30.76/4.78 % SZS output start Proof for theBenchmark
% See solution above
% 31.94/4.83 % (3779838)------------------------------
% 31.94/4.83 % (3779838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.94/4.83 % (3779838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.94/4.83 % (3779838)CaDiCaL version: 2.1.3
% 31.94/4.83 % (3779838)Termination reason: Refutation
% 31.94/4.83 % (3779838)Time elapsed: 1.735 s
% 31.94/4.83 % (3779838)Peak memory usage: 17 MB
% 31.94/4.83 % (3779838)Instructions burned: 1970 (million)
% 31.94/4.83 % (3779327)Success in time 4.541 s
% 31.94/4.83 % Vampire exiting
%------------------------------------------------------------------------------