%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA112^1 : 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 : n001.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 07:54:36 AM UTC 2026
% Result : Unsatisfiable 23.53s 4.09s
% Output : Refutation 27.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( ( ^ [X0: $i > $i] :
! [X2: $i,X1: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) )
= inj ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) )
= surj ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X1: $i,X0: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X3: $i,X0: $i,X2: $i,X1: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X4: $i,X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X3 @ X4 )
| ~ ( b @ X2 @ X0 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X1 @ X2 ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f10,plain,
! [X0: $i,X1: $i] :
( ( b @ X1 @ X0 )
| ( X0 = X1 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f4]) ).
thf(f11,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X1 @ X0 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X3 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $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 > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f17,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X1: $i,X3: $i,X2: $i,X0: $i,X4: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(flattening,[],[f8]) ).
thf(f19,plain,
! [X3: $i,X2: $i,X1: $i,X0: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f20,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f21,plain,
( ( ( inj @ sK0 )
= $true )
& ( $true
!= ( surj @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X4 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f24,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f25,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f27,plain,
( $true
!= ( surj @ sK0 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f28,plain,
( ( inj @ sK0 )
= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X4 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f33,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 )
= $true ),
inference(definition_unfolding,[],[f28,f25]) ).
thf(f34,plain,
( $true
!= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f27,f24]) ).
thf(f35,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f36,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f35]) ).
thf(f37,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) )
| ( ( X2 = X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X1: $i] :
( ( ( X2 = X1 )
= $true )
| ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f41]) ).
thf(f43,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f44,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f43]) ).
thf(f45,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X1: $i] :
( $false
= ( ( sK0 @ X1 )
= sK1 ) ),
inference(beta-eta_normalization,[],[f46]) ).
thf(f48,plain,
! [X1: $i] :
( ( sK0 @ X1 )
!= sK1 ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f26,f48]) ).
thf(f50,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) ),
inference(extensionality_resolution,[],[f26,f48]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f26,f42]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f29,f26]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f49]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f64,definition,
( spl2_1
<=> ! [X1: $i] :
( ( r @ sK1 @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f65,plain,
( ! [X1: $i] :
( ( r @ sK1 @ X1 )
!= $true )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f67,definition,
( spl2_2
<=> ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f68,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f73,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) ),
inference(constrained_superposition,[],[f29,f50]) ).
thf(f74,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ X0 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f73]) ).
thf(f80,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f81,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f82,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f51,f42]) ).
thf(f90,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(constrained_superposition,[],[f30,f80]) ).
thf(f91,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f93,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f74,f81]) ).
thf(f94,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f81]) ).
thf(f96,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f97,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f102,definition,
( spl2_5
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f103,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f105,definition,
( spl2_6
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f106,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_6 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f109,definition,
( spl2_7
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f110,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f109]) ).
thf(f112,definition,
( spl2_8
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f113,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f114,plain,
( spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f96,f112,f109]) ).
thf(f115,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_6 ),
inference(constrained_superposition,[],[f106,f49]) ).
thf(f117,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_6 ),
inference(trivial_inequality_removal,[],[f115]) ).
thf(f120,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f30,f110]) ).
thf(f121,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f120]) ).
thf(f122,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true ) )
| spl2_6 ),
inference(constrained_superposition,[],[f30,f117]) ).
thf(f123,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_6 ),
inference(trivial_inequality_removal,[],[f122]) ).
thf(f124,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f121,f80]) ).
thf(f128,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f135,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) )
| spl2_6 ),
inference(constrained_superposition,[],[f123,f80]) ).
thf(f138,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_6 ),
inference(trivial_inequality_removal,[],[f135]) ).
thf(f142,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f97,f81]) ).
thf(f143,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f142]) ).
thf(f144,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f143]) ).
thf(f149,definition,
( spl2_9
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f150,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f149]) ).
thf(f152,definition,
( spl2_10
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f153,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_10 ),
inference(avatar_component_clause,[],[f152]) ).
thf(f154,plain,
( spl2_5
| spl2_9
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f144,f152,f149,f102]) ).
thf(f156,definition,
( spl2_11
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f157,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_11 ),
inference(avatar_component_clause,[],[f156]) ).
thf(f159,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_11 ),
inference(constrained_superposition,[],[f157,f50]) ).
thf(f161,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_11 ),
inference(trivial_inequality_removal,[],[f159]) ).
thf(f167,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( $true != $true )
| ( ( r @ X0 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f55,f26]) ).
thf(f168,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f55,f49]) ).
thf(f175,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= X1 )
| ( ( r @ sK1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f176,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( r @ X0 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f167]) ).
thf(f182,definition,
( spl2_13
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true
= ( b @ X1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f183,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ X1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f184,plain,
( spl2_13
| spl2_1 ),
inference(avatar_split_clause,[],[f175,f64,f182]) ).
thf(f185,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f103,f81]) ).
thf(f190,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f193,plain,
( spl2_9
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f190,f102,f149]) ).
thf(f204,definition,
( spl2_14
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f205,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f204]) ).
thf(f207,definition,
( spl2_15
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f208,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f207]) ).
thf(f210,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ X1 )
= X0 ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f183,f26]) ).
thf(f213,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f210]) ).
thf(f245,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f65,f49]) ).
thf(f246,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f65,f26]) ).
thf(f247,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f245]) ).
thf(f248,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ X0 ) )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f246]) ).
thf(f249,plain,
( spl2_2
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f247,f64,f67]) ).
thf(f250,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_2
| spl2_6 ),
inference(constrained_superposition,[],[f138,f68]) ).
thf(f251,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_2
| ~ spl2_7 ),
inference(constrained_superposition,[],[f128,f68]) ).
thf(f255,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_7 ),
inference(constrained_superposition,[],[f121,f68]) ).
thf(f256,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f30,f68]) ).
thf(f257,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_2
| spl2_6 ),
inference(trivial_inequality_removal,[],[f250]) ).
thf(f258,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_2
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f251]) ).
thf(f261,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_2
| ~ spl2_7 ),
inference(duplicate_literal_removal,[],[f255]) ).
thf(f262,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_2
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f261]) ).
thf(f263,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f256]) ).
thf(f278,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_2
| spl2_6 ),
inference(constrained_superposition,[],[f257,f80]) ).
thf(f280,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| spl2_6 ),
inference(duplicate_literal_removal,[],[f278]) ).
thf(f281,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_2
| spl2_6 ),
inference(trivial_inequality_removal,[],[f280]) ).
thf(f282,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_2
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f281,f117]) ).
thf(f283,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_2
| spl2_6
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f282,f110]) ).
thf(f284,plain,
( spl2_15
| ~ spl2_2
| spl2_6
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f283,f109,f105,f67,f207]) ).
thf(f289,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f29,f208]) ).
thf(f290,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f289]) ).
thf(f311,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_9 ),
inference(constrained_superposition,[],[f263,f150]) ).
thf(f314,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_2
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f311]) ).
thf(f328,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_9 ),
inference(constrained_superposition,[],[f314,f150]) ).
thf(f332,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_2
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f328]) ).
thf(f335,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_9 ),
inference(constrained_superposition,[],[f332,f68]) ).
thf(f339,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f335]) ).
thf(f341,definition,
( spl2_18
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f342,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f341]) ).
thf(f344,definition,
( spl2_19
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f345,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_19 ),
inference(avatar_component_clause,[],[f344]) ).
thf(f351,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ~ spl2_2
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f339,f68]) ).
thf(f356,definition,
( spl2_21
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f357,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f356]) ).
thf(f359,plain,
( spl2_18
| ~ spl2_2
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f351,f149,f67,f341]) ).
thf(f360,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_7 ),
inference(constrained_superposition,[],[f262,f110]) ).
thf(f361,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f360]) ).
thf(f362,plain,
( spl2_21
| ~ spl2_2
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f361,f109,f67,f356]) ).
thf(f363,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f357,f80]) ).
thf(f366,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f363]) ).
thf(f369,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f30,f248]) ).
thf(f376,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f369]) ).
thf(f388,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( sK1 = X2 )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f376,f248]) ).
thf(f390,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( sK1 = X2 )
| ( sK1 = X0 )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f388]) ).
thf(f422,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true != $true )
| ( sK1 = X2 ) )
| ~ spl2_1
| ~ spl2_2 ),
inference(constrained_superposition,[],[f390,f68]) ).
thf(f424,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( sK1 = X2 )
| ( sK1 = X1 ) )
| ~ spl2_1
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f422]) ).
thf(f444,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f82,f48]) ).
thf(f552,definition,
( spl2_23
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f553,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f552]) ).
thf(f559,definition,
( spl2_25
<=> ! [X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f560,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( sK1 = X1 ) )
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f559]) ).
thf(f711,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_7 ),
inference(constrained_superposition,[],[f258,f444]) ).
thf(f714,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f263,f444]) ).
thf(f720,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f30,f444]) ).
thf(f724,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f711]) ).
thf(f729,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f720]) ).
thf(f730,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f714]) ).
thf(f735,definition,
( spl2_27
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f736,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_27 ),
inference(avatar_component_clause,[],[f735]) ).
thf(f754,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f730,f444]) ).
thf(f765,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_2 ),
inference(duplicate_literal_removal,[],[f754]) ).
thf(f766,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f765]) ).
thf(f798,definition,
( spl2_31
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f799,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f798]) ).
thf(f848,definition,
( spl2_35
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
thf(f849,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f848]) ).
thf(f856,definition,
( spl2_36
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).
thf(f857,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f856]) ).
thf(f1073,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_27
| ~ spl2_35 ),
inference(constrained_superposition,[],[f736,f849]) ).
thf(f1123,plain,
( $false
| ~ spl2_7
| spl2_27
| ~ spl2_35 ),
inference(forward_subsumption_resolution,[],[f1073,f110]) ).
thf(f1124,plain,
( ~ spl2_7
| spl2_27
| ~ spl2_35 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
thf(f1297,definition,
( spl2_44
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).
thf(f1298,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f1297]) ).
thf(f1300,definition,
( spl2_45
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
thf(f1301,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f1300]) ).
thf(f1309,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_44 ),
inference(constrained_superposition,[],[f97,f1298]) ).
thf(f1312,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_44 ),
inference(constrained_superposition,[],[f74,f1298]) ).
thf(f1314,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_44 ),
inference(constrained_superposition,[],[f176,f1298]) ).
thf(f1318,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_44 ),
inference(duplicate_literal_removal,[],[f1314]) ).
thf(f1319,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f1318]) ).
thf(f1321,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f1312]) ).
thf(f1324,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f1309]) ).
thf(f1327,definition,
( spl2_47
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_47])],[avatar_definition]) ).
thf(f1328,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f1327]) ).
thf(f1330,definition,
( spl2_48
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).
thf(f1331,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f1330]) ).
thf(f1332,plain,
( spl2_47
| spl2_48
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f1319,f1297,f1330,f1327]) ).
thf(f1334,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| spl2_27
| ~ spl2_44 ),
inference(forward_subsumption_resolution,[],[f1321,f736]) ).
thf(f1336,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_44 ),
inference(forward_subsumption_resolution,[],[f1324,f81]) ).
thf(f1342,definition,
( spl2_50
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).
thf(f1343,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_50 ),
inference(avatar_component_clause,[],[f1342]) ).
thf(f1344,plain,
( spl2_47
| ~ spl2_50
| spl2_27
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f1334,f1297,f735,f1342,f1327]) ).
thf(f1347,definition,
( spl2_51
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).
thf(f1348,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_51 ),
inference(avatar_component_clause,[],[f1347]) ).
thf(f1349,plain,
( spl2_51
| spl2_47
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f1336,f1297,f1327,f1347]) ).
thf(f1351,plain,
( ( $true != $true )
| ~ spl2_44
| ~ spl2_47 ),
inference(constrained_superposition,[],[f1328,f1298]) ).
thf(f1352,plain,
( ( $true != $true )
| ~ spl2_15
| ~ spl2_47 ),
inference(constrained_superposition,[],[f1328,f208]) ).
thf(f1355,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f1328,f26]) ).
thf(f1356,plain,
( $false
| ~ spl2_44
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f1351]) ).
thf(f1357,plain,
( ~ spl2_44
| ~ spl2_47 ),
inference(avatar_contradiction_clause,[],[f1356]) ).
thf(f1358,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f1355]) ).
thf(f1360,plain,
( $false
| ~ spl2_15
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f1352]) ).
thf(f1361,plain,
( ~ spl2_15
| ~ spl2_47 ),
inference(avatar_contradiction_clause,[],[f1360]) ).
thf(f1363,plain,
( spl2_48
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f1358,f1327,f1330]) ).
thf(f1579,definition,
( spl2_56
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
thf(f1580,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_56 ),
inference(avatar_component_clause,[],[f1579]) ).
thf(f1586,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_56 ),
inference(constrained_superposition,[],[f1580,f81]) ).
thf(f1589,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_56 ),
inference(trivial_inequality_removal,[],[f1586]) ).
thf(f1592,plain,
( spl2_51
| spl2_56 ),
inference(avatar_split_clause,[],[f1589,f1579,f1347]) ).
thf(f1603,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f30,f1348]) ).
thf(f1611,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f1603]) ).
thf(f1620,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f1611,f1348]) ).
thf(f1631,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f1620]) ).
thf(f1641,definition,
( spl2_59
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f1642,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f1641]) ).
thf(f1659,plain,
( spl2_59
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f1631,f1347,f1641]) ).
thf(f1661,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_51
| ~ spl2_59 ),
inference(constrained_superposition,[],[f1642,f1348]) ).
thf(f1669,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_51
| ~ spl2_59 ),
inference(trivial_inequality_removal,[],[f1661]) ).
thf(f1675,definition,
( spl2_60
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).
thf(f1676,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_60 ),
inference(avatar_component_clause,[],[f1675]) ).
thf(f1678,definition,
( spl2_61
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_61])],[avatar_definition]) ).
thf(f1679,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_61 ),
inference(avatar_component_clause,[],[f1678]) ).
thf(f1680,plain,
( ~ spl2_60
| spl2_61
| ~ spl2_51
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f1669,f1641,f1347,f1678,f1675]) ).
thf(f1682,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_60 ),
inference(constrained_superposition,[],[f1676,f80]) ).
thf(f1686,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_60 ),
inference(trivial_inequality_removal,[],[f1682]) ).
thf(f1739,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_35 ),
inference(avatar_component_clause,[],[f848]) ).
thf(f1754,definition,
( spl2_64
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_64])],[avatar_definition]) ).
thf(f1755,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_64 ),
inference(avatar_component_clause,[],[f1754]) ).
thf(f1757,definition,
( spl2_65
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).
thf(f1758,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_65 ),
inference(avatar_component_clause,[],[f1757]) ).
thf(f1761,definition,
( spl2_66
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_66])],[avatar_definition]) ).
thf(f1762,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_66 ),
inference(avatar_component_clause,[],[f1761]) ).
thf(f1764,definition,
( spl2_67
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_67])],[avatar_definition]) ).
thf(f1765,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_67 ),
inference(avatar_component_clause,[],[f1764]) ).
thf(f1768,definition,
( spl2_68
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
thf(f1769,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f1768]) ).
thf(f1771,definition,
( spl2_69
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_69])],[avatar_definition]) ).
thf(f1772,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_69 ),
inference(avatar_component_clause,[],[f1771]) ).
thf(f1781,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_15
| ~ spl2_68 ),
inference(constrained_superposition,[],[f290,f1769]) ).
thf(f1787,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_15
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f1781]) ).
thf(f1796,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_15
| ~ spl2_68 ),
inference(forward_subsumption_resolution,[],[f1787,f208]) ).
thf(f1806,definition,
( spl2_72
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_72])],[avatar_definition]) ).
thf(f1807,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ~ spl2_72 ),
inference(avatar_component_clause,[],[f1806]) ).
thf(f1809,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_44 ),
inference(avatar_component_clause,[],[f1297]) ).
thf(f1812,plain,
( spl2_72
| ~ spl2_15
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f1796,f1768,f207,f1806]) ).
thf(f1815,definition,
( spl2_73
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_73])],[avatar_definition]) ).
thf(f1816,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_73 ),
inference(avatar_component_clause,[],[f1815]) ).
thf(f1823,plain,
( ( $true != $true )
| ~ spl2_15
| ~ spl2_72 ),
inference(constrained_superposition,[],[f1807,f208]) ).
thf(f1828,plain,
( $false
| ~ spl2_15
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f1823]) ).
thf(f1829,plain,
( ~ spl2_15
| ~ spl2_72 ),
inference(avatar_contradiction_clause,[],[f1828]) ).
thf(f1860,definition,
( spl2_74
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_74])],[avatar_definition]) ).
thf(f1861,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f1860]) ).
thf(f1867,definition,
( spl2_75
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_75])],[avatar_definition]) ).
thf(f1868,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_75 ),
inference(avatar_component_clause,[],[f1867]) ).
thf(f1911,definition,
( spl2_81
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_81])],[avatar_definition]) ).
thf(f1912,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_81 ),
inference(avatar_component_clause,[],[f1911]) ).
thf(f1941,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_15
| ~ spl2_74 ),
inference(constrained_superposition,[],[f290,f1861]) ).
thf(f1942,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f74,f1861]) ).
thf(f1947,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f1942]) ).
thf(f1948,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f1941]) ).
thf(f1955,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_75 ),
inference(avatar_component_clause,[],[f1867]) ).
thf(f1956,plain,
( spl2_47
| ~ spl2_50
| spl2_75
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f1947,f1860,f1867,f1342,f1327]) ).
thf(f1957,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_15
| ~ spl2_74 ),
inference(forward_subsumption_resolution,[],[f1948,f208]) ).
thf(f1959,definition,
( spl2_82
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).
thf(f1960,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_82 ),
inference(avatar_component_clause,[],[f1959]) ).
thf(f1968,plain,
( spl2_47
| ~ spl2_15
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f1957,f1860,f207,f1327]) ).
thf(f2053,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_81 ),
inference(constrained_superposition,[],[f42,f1912]) ).
thf(f2098,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_81 ),
inference(equality_resolution,[],[f2053]) ).
thf(f2101,plain,
( $false
| spl2_35
| ~ spl2_81 ),
inference(forward_subsumption_resolution,[],[f2098,f1739]) ).
thf(f2102,plain,
( spl2_35
| ~ spl2_81 ),
inference(avatar_contradiction_clause,[],[f2101]) ).
thf(f2107,definition,
( spl2_85
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).
thf(f2108,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f2107]) ).
thf(f2132,plain,
( spl2_85
| spl2_60 ),
inference(avatar_split_clause,[],[f1686,f1675,f2107]) ).
thf(f2137,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f724,f68]) ).
thf(f2144,definition,
( spl2_90
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_90])],[avatar_definition]) ).
thf(f2145,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_90 ),
inference(avatar_component_clause,[],[f2144]) ).
thf(f2146,plain,
( spl2_90
| spl2_85
| ~ spl2_2
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f2137,f109,f67,f2107,f2144]) ).
thf(f2156,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_85 ),
inference(constrained_superposition,[],[f55,f2108]) ).
thf(f2157,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_85 ),
inference(constrained_superposition,[],[f29,f2108]) ).
thf(f2158,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f2156]) ).
thf(f2163,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f2157]) ).
thf(f2165,definition,
( spl2_91
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_91])],[avatar_definition]) ).
thf(f2166,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_91 ),
inference(avatar_component_clause,[],[f2165]) ).
thf(f2167,plain,
( spl2_47
| spl2_91
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f2158,f2107,f2165,f1327]) ).
thf(f2170,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_73 ),
inference(constrained_superposition,[],[f1816,f50]) ).
thf(f2173,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_73 ),
inference(trivial_inequality_removal,[],[f2170]) ).
thf(f2176,plain,
( spl2_75
| spl2_73 ),
inference(avatar_split_clause,[],[f2173,f1815,f1867]) ).
thf(f2214,definition,
( spl2_92
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_92])],[avatar_definition]) ).
thf(f2215,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92 ),
inference(avatar_component_clause,[],[f2214]) ).
thf(f2226,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_59
| ~ spl2_92 ),
inference(constrained_superposition,[],[f1642,f2215]) ).
thf(f2229,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_23
| ~ spl2_92 ),
inference(constrained_superposition,[],[f553,f2215]) ).
thf(f2245,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_23
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f2229]) ).
thf(f2247,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_59
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f2226]) ).
thf(f2251,definition,
( spl2_93
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_93])],[avatar_definition]) ).
thf(f2252,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_93 ),
inference(avatar_component_clause,[],[f2251]) ).
thf(f2263,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_23
| ~ spl2_75
| ~ spl2_92 ),
inference(forward_subsumption_resolution,[],[f2245,f1955]) ).
thf(f2266,definition,
( spl2_95
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_95])],[avatar_definition]) ).
thf(f2267,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_95 ),
inference(avatar_component_clause,[],[f2266]) ).
thf(f2269,definition,
( spl2_96
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).
thf(f2270,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_96 ),
inference(avatar_component_clause,[],[f2269]) ).
thf(f2271,plain,
( spl2_95
| ~ spl2_96
| ~ spl2_59
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f2247,f2214,f1641,f2269,f2266]) ).
thf(f2276,plain,
( spl2_95
| ~ spl2_23
| ~ spl2_75
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f2263,f2214,f1867,f552,f2266]) ).
thf(f2423,definition,
( spl2_98
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_98])],[avatar_definition]) ).
thf(f2424,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_98 ),
inference(avatar_component_clause,[],[f2423]) ).
thf(f2484,definition,
( spl2_99
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_99])],[avatar_definition]) ).
thf(f2485,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_99 ),
inference(avatar_component_clause,[],[f2484]) ).
thf(f2486,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f1579]) ).
thf(f2514,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f81,f2424]) ).
thf(f2557,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f344]) ).
thf(f2559,definition,
( spl2_100
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_100])],[avatar_definition]) ).
thf(f2560,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_100 ),
inference(avatar_component_clause,[],[f2559]) ).
thf(f2562,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_10
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f2514,f153]) ).
thf(f2566,plain,
( spl2_19
| spl2_10
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f2562,f2423,f152,f344]) ).
thf(f2580,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_19
| ~ spl2_21 ),
inference(constrained_superposition,[],[f357,f2557]) ).
thf(f2596,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_19
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f2580]) ).
thf(f2611,plain,
( $false
| ~ spl2_7
| ~ spl2_19
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f2596,f110]) ).
thf(f2612,plain,
( ~ spl2_7
| ~ spl2_19
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
thf(f2650,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_25
| ~ spl2_51 ),
inference(constrained_superposition,[],[f560,f1348]) ).
thf(f2651,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_23
| ~ spl2_51 ),
inference(constrained_superposition,[],[f553,f1348]) ).
thf(f2652,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_51 ),
inference(constrained_superposition,[],[f424,f1348]) ).
thf(f2653,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f30,f1348]) ).
thf(f2657,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_23
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f2651]) ).
thf(f2658,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f2652]) ).
thf(f2660,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_25
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f2650]) ).
thf(f2661,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f2653]) ).
thf(f2668,plain,
( spl2_99
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f2661,f1347,f2484]) ).
thf(f2712,definition,
( spl2_104
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).
thf(f2713,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ~ spl2_104 ),
inference(avatar_component_clause,[],[f2712]) ).
thf(f2716,definition,
( spl2_105
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).
thf(f2717,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_105 ),
inference(avatar_component_clause,[],[f2716]) ).
thf(f2728,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_105 ),
inference(constrained_superposition,[],[f2717,f81]) ).
thf(f2731,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_105 ),
inference(trivial_inequality_removal,[],[f2728]) ).
thf(f2739,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_105 ),
inference(constrained_superposition,[],[f91,f2731]) ).
thf(f2750,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| spl2_105 ),
inference(duplicate_literal_removal,[],[f2739]) ).
thf(f2751,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_105 ),
inference(trivial_inequality_removal,[],[f2750]) ).
thf(f2766,definition,
( spl2_106
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition]) ).
thf(f2767,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_106 ),
inference(avatar_component_clause,[],[f2766]) ).
thf(f2768,plain,
( spl2_106
| spl2_14
| spl2_105 ),
inference(avatar_split_clause,[],[f2751,f2716,f204,f2766]) ).
thf(f2773,definition,
( spl2_108
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_108])],[avatar_definition]) ).
thf(f2774,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_108 ),
inference(avatar_component_clause,[],[f2773]) ).
thf(f2777,definition,
( spl2_109
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_109])],[avatar_definition]) ).
thf(f2778,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_109 ),
inference(avatar_component_clause,[],[f2777]) ).
thf(f2781,definition,
( spl2_110
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f2782,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f2781]) ).
thf(f2792,definition,
( spl2_112
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_112])],[avatar_definition]) ).
thf(f2793,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_112 ),
inference(avatar_component_clause,[],[f2792]) ).
thf(f2882,definition,
( spl2_114
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_114])],[avatar_definition]) ).
thf(f2883,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_114 ),
inference(avatar_component_clause,[],[f2882]) ).
thf(f2903,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_114 ),
inference(constrained_superposition,[],[f42,f2883]) ).
thf(f2941,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_114 ),
inference(equality_resolution,[],[f2903]) ).
thf(f2944,plain,
( spl2_98
| ~ spl2_114 ),
inference(avatar_split_clause,[],[f2941,f2882,f2423]) ).
thf(f2970,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_112 ),
inference(constrained_superposition,[],[f2793,f80]) ).
thf(f2974,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_112 ),
inference(trivial_inequality_removal,[],[f2970]) ).
thf(f2977,definition,
( spl2_118
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f2978,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f2977]) ).
thf(f2983,plain,
( spl2_106
| spl2_112 ),
inference(avatar_split_clause,[],[f2974,f2792,f2766]) ).
thf(f2988,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f80,f2978]) ).
thf(f2993,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_118 ),
inference(constrained_superposition,[],[f97,f2978]) ).
thf(f3027,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_19
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2993,f345]) ).
thf(f3030,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_10
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f2988,f153]) ).
thf(f3034,plain,
( spl2_100
| spl2_19
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f3027,f2977,f344,f2559]) ).
thf(f3037,plain,
( $false
| spl2_10
| spl2_19
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f3030,f345]) ).
thf(f3038,plain,
( spl2_10
| spl2_19
| ~ spl2_118 ),
inference(avatar_contradiction_clause,[],[f3037]) ).
thf(f3061,plain,
( $false
| ~ spl2_104
| ~ spl2_106 ),
inference(forward_subsumption_resolution,[],[f2767,f2713]) ).
thf(f3062,plain,
( ~ spl2_104
| ~ spl2_106 ),
inference(avatar_contradiction_clause,[],[f3061]) ).
thf(f3110,definition,
( spl2_122
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
thf(f3111,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f3110]) ).
thf(f3112,plain,
( spl2_122
| ~ spl2_27
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f766,f67,f735,f3110]) ).
thf(f3117,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_25
| ~ spl2_51 ),
inference(forward_subsumption_resolution,[],[f2660,f48]) ).
thf(f3119,plain,
( spl2_61
| ~ spl2_27
| ~ spl2_23
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f2657,f1347,f552,f735,f1678]) ).
thf(f3124,plain,
( ~ spl2_27
| ~ spl2_25
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f3117,f1347,f559,f735]) ).
thf(f3126,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_51 ),
inference(forward_subsumption_resolution,[],[f2658,f48]) ).
thf(f3127,plain,
( spl2_25
| ~ spl2_1
| ~ spl2_2
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f3126,f1347,f67,f64,f559]) ).
thf(f3135,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_85 ),
inference(constrained_superposition,[],[f2108,f849]) ).
thf(f3176,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f152]) ).
thf(f3188,plain,
( spl2_10
| ~ spl2_35
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f3135,f2107,f848,f152]) ).
thf(f3195,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f735]) ).
thf(f3198,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_35 ),
inference(extensionality_resolution,[],[f82,f1739]) ).
thf(f3207,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_35
| ~ spl2_104 ),
inference(forward_subsumption_resolution,[],[f3198,f2713]) ).
thf(f3208,plain,
( spl2_65
| spl2_35
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f3207,f2712,f848,f1757]) ).
thf(f3215,plain,
( ( $true != $true )
| ~ spl2_47
| ~ spl2_85 ),
inference(constrained_superposition,[],[f1328,f2108]) ).
thf(f3216,plain,
( ( $true != $true )
| ~ spl2_47
| ~ spl2_68 ),
inference(constrained_superposition,[],[f1328,f1769]) ).
thf(f3217,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_47 ),
inference(constrained_superposition,[],[f1328,f50]) ).
thf(f3221,plain,
( $false
| ~ spl2_47
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f3215]) ).
thf(f3222,plain,
( ~ spl2_47
| ~ spl2_85 ),
inference(avatar_contradiction_clause,[],[f3221]) ).
thf(f3223,plain,
( $false
| ~ spl2_47
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f3216]) ).
thf(f3224,plain,
( ~ spl2_47
| ~ spl2_68 ),
inference(avatar_contradiction_clause,[],[f3223]) ).
thf(f3225,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_47 ),
inference(trivial_inequality_removal,[],[f3217]) ).
thf(f3227,plain,
( spl2_27
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f3225,f1327,f735]) ).
thf(f3231,definition,
( spl2_127
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).
thf(f3232,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f3231]) ).
thf(f3233,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_60 ),
inference(avatar_component_clause,[],[f1675]) ).
thf(f3238,plain,
( $false
| ~ spl2_18
| ~ spl2_27 ),
inference(forward_subsumption_resolution,[],[f3195,f342]) ).
thf(f3239,plain,
( ~ spl2_18
| ~ spl2_27 ),
inference(avatar_contradiction_clause,[],[f3238]) ).
thf(f3240,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_2
| ~ spl2_7
| ~ spl2_9 ),
inference(constrained_superposition,[],[f258,f150]) ).
thf(f3256,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_2
| ~ spl2_7
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f3240]) ).
thf(f3265,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_2
| ~ spl2_7
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f3256,f68]) ).
thf(f3268,definition,
( spl2_128
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).
thf(f3269,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_128 ),
inference(avatar_component_clause,[],[f3268]) ).
thf(f3272,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_2
| ~ spl2_7
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f3265,f110]) ).
thf(f3273,plain,
( spl2_15
| ~ spl2_2
| ~ spl2_7
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f3272,f149,f109,f67,f207]) ).
thf(f3377,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f29,f208]) ).
thf(f3381,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f3377]) ).
thf(f3468,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_1
| ~ spl2_61 ),
inference(constrained_superposition,[],[f1679,f248]) ).
thf(f3471,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_61 ),
inference(trivial_inequality_removal,[],[f3468]) ).
thf(f3478,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_61 ),
inference(forward_subsumption_resolution,[],[f3471,f68]) ).
thf(f3481,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_61 ),
inference(forward_subsumption_resolution,[],[f3478,f48]) ).
thf(f3482,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_61 ),
inference(avatar_contradiction_clause,[],[f3481]) ).
thf(f3524,definition,
( spl2_131
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_131])],[avatar_definition]) ).
thf(f3525,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_131 ),
inference(avatar_component_clause,[],[f3524]) ).
thf(f3542,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_67 ),
inference(constrained_superposition,[],[f424,f1765]) ).
thf(f3551,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 ) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_67 ),
inference(trivial_inequality_removal,[],[f3542]) ).
thf(f3559,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_67 ),
inference(forward_subsumption_resolution,[],[f3551,f48]) ).
thf(f3561,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_67 ),
inference(constrained_superposition,[],[f3559,f444]) ).
thf(f3571,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_67 ),
inference(trivial_inequality_removal,[],[f3561]) ).
thf(f3586,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_14 ),
inference(constrained_superposition,[],[f205,f248]) ).
thf(f3589,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f3586]) ).
thf(f3595,plain,
( ! [X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15 ),
inference(constrained_superposition,[],[f3381,f208]) ).
thf(f3600,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_15 ),
inference(trivial_inequality_removal,[],[f3595]) ).
thf(f3604,plain,
( spl2_5
| ~ spl2_10
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f3600,f207,f152,f102]) ).
thf(f3607,plain,
( ( $true != $true )
| ~ spl2_5
| ~ spl2_56 ),
inference(constrained_superposition,[],[f103,f2486]) ).
thf(f3608,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f103,f50]) ).
thf(f3611,plain,
( $false
| ~ spl2_5
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f3607]) ).
thf(f3612,plain,
( ~ spl2_5
| ~ spl2_56 ),
inference(avatar_contradiction_clause,[],[f3611]) ).
thf(f3613,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f3608]) ).
thf(f3829,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_36 ),
inference(constrained_superposition,[],[f857,f444]) ).
thf(f3830,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_9
| ~ spl2_36 ),
inference(constrained_superposition,[],[f857,f150]) ).
thf(f3835,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f3830]) ).
thf(f3841,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f3829]) ).
thf(f3842,plain,
( spl2_61
| ~ spl2_9
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f3835,f856,f149,f1678]) ).
thf(f3844,plain,
( spl2_122
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f3841,f856,f3110]) ).
thf(f3845,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_7 ),
inference(avatar_component_clause,[],[f109]) ).
thf(f3852,plain,
( spl2_7
| spl2_11 ),
inference(avatar_split_clause,[],[f161,f156,f109]) ).
thf(f3854,definition,
( spl2_134
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_134])],[avatar_definition]) ).
thf(f3855,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_134 ),
inference(avatar_component_clause,[],[f3854]) ).
thf(f3857,plain,
( spl2_7
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f3613,f102,f109]) ).
thf(f3862,plain,
( spl2_127
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f2163,f2107,f3231]) ).
thf(f3867,definition,
( spl2_136
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_136])],[avatar_definition]) ).
thf(f3868,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_136 ),
inference(avatar_component_clause,[],[f3867]) ).
thf(f3886,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_48 ),
inference(constrained_superposition,[],[f205,f1331]) ).
thf(f3904,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_14
| ~ spl2_48 ),
inference(trivial_inequality_removal,[],[f3886]) ).
thf(f3922,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| spl2_35
| ~ spl2_48 ),
inference(forward_subsumption_resolution,[],[f3904,f1739]) ).
thf(f3923,plain,
( spl2_61
| ~ spl2_14
| spl2_35
| ~ spl2_48 ),
inference(avatar_split_clause,[],[f3922,f1330,f848,f204,f1678]) ).
thf(f3924,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_60 ),
inference(constrained_superposition,[],[f205,f3233]) ).
thf(f3931,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f3924]) ).
thf(f3938,plain,
( spl2_61
| ~ spl2_14
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f3931,f1675,f204,f1678]) ).
thf(f3941,definition,
( spl2_140
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_140])],[avatar_definition]) ).
thf(f3942,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_140 ),
inference(avatar_component_clause,[],[f3941]) ).
thf(f3948,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1
| ~ spl2_2
| ~ spl2_67 ),
inference(forward_subsumption_resolution,[],[f3571,f48]) ).
thf(f3958,plain,
( ~ spl2_27
| spl2_74
| ~ spl2_1
| ~ spl2_2
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f3948,f1764,f67,f64,f1860,f735]) ).
thf(f3966,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_85 ),
inference(constrained_superposition,[],[f74,f2108]) ).
thf(f3974,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f3966]) ).
thf(f3981,plain,
( spl2_27
| spl2_5
| ~ spl2_11
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f3974,f2107,f156,f102,f735]) ).
thf(f3998,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_72 ),
inference(constrained_superposition,[],[f1807,f50]) ).
thf(f4002,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f3998]) ).
thf(f4004,plain,
( spl2_75
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f4002,f1806,f1867]) ).
thf(f4033,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_2
| ~ spl2_92 ),
inference(constrained_superposition,[],[f263,f2215]) ).
thf(f4044,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_2
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f4033]) ).
thf(f4072,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_96 ),
inference(constrained_superposition,[],[f2270,f80]) ).
thf(f4077,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_96 ),
inference(trivial_inequality_removal,[],[f4072]) ).
thf(f4082,plain,
( spl2_93
| spl2_96 ),
inference(avatar_split_clause,[],[f4077,f2269,f2251]) ).
thf(f4086,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f97,f1769]) ).
thf(f4095,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f4086]) ).
thf(f4143,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_108 ),
inference(avatar_component_clause,[],[f2773]) ).
thf(f4172,definition,
( spl2_148
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_148])],[avatar_definition]) ).
thf(f4173,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_148 ),
inference(avatar_component_clause,[],[f4172]) ).
thf(f4178,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_131 ),
inference(constrained_superposition,[],[f3525,f50]) ).
thf(f4181,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_131 ),
inference(trivial_inequality_removal,[],[f4178]) ).
thf(f4182,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_82 ),
inference(constrained_superposition,[],[f1960,f81]) ).
thf(f4185,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_82 ),
inference(trivial_inequality_removal,[],[f4182]) ).
thf(f4191,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_1
| ~ spl2_95 ),
inference(constrained_superposition,[],[f2267,f248]) ).
thf(f4197,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f4191]) ).
thf(f4202,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_95 ),
inference(forward_subsumption_resolution,[],[f4197,f48]) ).
thf(f4203,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_95 ),
inference(forward_subsumption_resolution,[],[f4202,f68]) ).
thf(f4204,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_95 ),
inference(avatar_contradiction_clause,[],[f4203]) ).
thf(f4206,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_108 ),
inference(constrained_superposition,[],[f366,f4143]) ).
thf(f4208,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f4206]) ).
thf(f4211,plain,
( spl2_106
| ~ spl2_21
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f4208,f2773,f356,f2766]) ).
thf(f4216,definition,
( spl2_149
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_149])],[avatar_definition]) ).
thf(f4217,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_149 ),
inference(avatar_component_clause,[],[f4216]) ).
thf(f4219,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_1
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f3589,f48]) ).
thf(f4221,plain,
( spl2_21
| ~ spl2_1
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f4219,f204,f64,f356]) ).
thf(f4222,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f357,f80]) ).
thf(f4228,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f4222]) ).
thf(f4232,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f74,f2767]) ).
thf(f4241,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f4232]) ).
thf(f4267,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_68
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3232,f1769]) ).
thf(f4275,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_68
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f4267]) ).
thf(f4276,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_93 ),
inference(avatar_component_clause,[],[f2251]) ).
thf(f4277,plain,
( spl2_72
| ~ spl2_93
| ~ spl2_68
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f4275,f3231,f1768,f2251,f1806]) ).
thf(f4282,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_96 ),
inference(avatar_component_clause,[],[f2269]) ).
thf(f4286,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_96 ),
inference(constrained_superposition,[],[f205,f4282]) ).
thf(f4298,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_96 ),
inference(trivial_inequality_removal,[],[f4286]) ).
thf(f4301,plain,
( spl2_95
| ~ spl2_14
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f4298,f2269,f204,f2266]) ).
thf(f4303,plain,
( spl2_23
| ~ spl2_2
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f4044,f2214,f67,f552]) ).
thf(f4311,plain,
( ~ spl2_11
| spl2_5
| spl2_108
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f4241,f2766,f2773,f102,f156]) ).
thf(f4314,plain,
( spl2_108
| spl2_131 ),
inference(avatar_split_clause,[],[f4181,f3524,f2773]) ).
thf(f4316,plain,
( spl2_92
| spl2_82 ),
inference(avatar_split_clause,[],[f4185,f1959,f2214]) ).
thf(f4317,plain,
( spl2_92
| spl2_47
| ~ spl2_56
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f4095,f1768,f1579,f1327,f2214]) ).
thf(f4336,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_2
| ~ spl2_51 ),
inference(constrained_superposition,[],[f263,f1348]) ).
thf(f4340,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_2
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f4336]) ).
thf(f4346,plain,
( spl2_23
| ~ spl2_2
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f4340,f1347,f67,f552]) ).
thf(f4354,plain,
( ( $true != $true )
| ~ spl2_66
| ~ spl2_72 ),
inference(constrained_superposition,[],[f1807,f1762]) ).
thf(f4361,plain,
( $false
| ~ spl2_66
| ~ spl2_72 ),
inference(trivial_inequality_removal,[],[f4354]) ).
thf(f4362,plain,
( ~ spl2_66
| ~ spl2_72 ),
inference(avatar_contradiction_clause,[],[f4361]) ).
thf(f4363,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_75 ),
inference(constrained_superposition,[],[f4228,f1955]) ).
thf(f4373,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f4363]) ).
thf(f4378,plain,
( spl2_93
| ~ spl2_21
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f4373,f1867,f356,f2251]) ).
thf(f4379,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_21
| ~ spl2_27 ),
inference(constrained_superposition,[],[f4228,f3195]) ).
thf(f4387,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f4379]) ).
thf(f4390,plain,
( spl2_85
| ~ spl2_21
| ~ spl2_27 ),
inference(avatar_split_clause,[],[f4387,f735,f356,f2107]) ).
thf(f4445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f29,f2252]) ).
thf(f4446,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f4445]) ).
thf(f4480,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_105 ),
inference(constrained_superposition,[],[f2717,f81]) ).
thf(f4484,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_105 ),
inference(trivial_inequality_removal,[],[f4480]) ).
thf(f4487,plain,
( spl2_148
| spl2_105 ),
inference(avatar_split_clause,[],[f4484,f2716,f4172]) ).
thf(f4518,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_2
| ~ spl2_109 ),
inference(constrained_superposition,[],[f2778,f68]) ).
thf(f4525,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_2
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f4518]) ).
thf(f4526,plain,
( $false
| ~ spl2_2
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f4525,f68]) ).
thf(f4527,plain,
( ~ spl2_2
| ~ spl2_109 ),
inference(avatar_contradiction_clause,[],[f4526]) ).
thf(f4543,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3232,f50]) ).
thf(f4548,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f4543]) ).
thf(f4550,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| spl2_27
| ~ spl2_127 ),
inference(forward_subsumption_resolution,[],[f4548,f736]) ).
thf(f4551,plain,
( ~ spl2_6
| spl2_1
| spl2_27
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f4550,f3231,f735,f64,f105]) ).
thf(f4697,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f74,f2486]) ).
thf(f4708,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f4697]) ).
thf(f4774,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_66
| ~ spl2_93 ),
inference(constrained_superposition,[],[f4446,f1762]) ).
thf(f4781,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_66
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f4774]) ).
thf(f4783,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_66
| ~ spl2_93
| ~ spl2_106 ),
inference(forward_subsumption_resolution,[],[f4781,f2767]) ).
thf(f4784,plain,
( spl2_104
| ~ spl2_66
| ~ spl2_93
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f4783,f2766,f2251,f1761,f2712]) ).
thf(f4796,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_75
| ~ spl2_90 ),
inference(constrained_superposition,[],[f2145,f1955]) ).
thf(f4799,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_75
| ~ spl2_90 ),
inference(trivial_inequality_removal,[],[f4796]) ).
thf(f4801,plain,
( spl2_74
| ~ spl2_75
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f4799,f2144,f1867,f1860]) ).
thf(f4806,plain,
( spl2_47
| spl2_7
| ~ spl2_50
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f4708,f1579,f1342,f109,f1327]) ).
thf(f4811,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_35
| ~ spl2_75 ),
inference(constrained_superposition,[],[f1955,f849]) ).
thf(f4813,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_56 ),
inference(constrained_superposition,[],[f2486,f849]) ).
thf(f4850,plain,
( $false
| spl2_10
| ~ spl2_35
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f4813,f153]) ).
thf(f4851,plain,
( spl2_10
| ~ spl2_35
| ~ spl2_56 ),
inference(avatar_contradiction_clause,[],[f4850]) ).
thf(f4854,plain,
( spl2_27
| ~ spl2_35
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f4811,f1867,f848,f735]) ).
thf(f4937,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f357,f80]) ).
thf(f4943,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f4937]) ).
thf(f4975,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_36
| ~ spl2_51 ),
inference(constrained_superposition,[],[f857,f1348]) ).
thf(f4983,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_36
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f4975]) ).
thf(f4985,plain,
( spl2_61
| ~ spl2_36
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f4983,f1347,f856,f1678]) ).
thf(f4992,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f29,f2486]) ).
thf(f4998,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f4992]) ).
thf(f5012,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f4998,f49]) ).
thf(f5019,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f5012]) ).
thf(f5046,definition,
( spl2_153
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_153])],[avatar_definition]) ).
thf(f5047,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_153 ),
inference(avatar_component_clause,[],[f5046]) ).
thf(f5052,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_45 ),
inference(avatar_component_clause,[],[f1300]) ).
thf(f5159,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_67
| ~ spl2_122 ),
inference(constrained_superposition,[],[f3111,f1765]) ).
thf(f5160,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_65
| ~ spl2_122 ),
inference(constrained_superposition,[],[f3111,f1758]) ).
thf(f5162,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_2
| ~ spl2_122 ),
inference(constrained_superposition,[],[f3111,f68]) ).
thf(f5165,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_65
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f5160]) ).
thf(f5166,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_67
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f5159]) ).
thf(f5169,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_2
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f5162]) ).
thf(f5173,definition,
( spl2_156
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_156])],[avatar_definition]) ).
thf(f5174,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_156 ),
inference(avatar_component_clause,[],[f5173]) ).
thf(f5175,plain,
( ~ spl2_156
| spl2_74
| ~ spl2_65
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f5165,f3110,f1757,f1860,f5173]) ).
thf(f5177,definition,
( spl2_157
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_157])],[avatar_definition]) ).
thf(f5178,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_157 ),
inference(avatar_component_clause,[],[f5177]) ).
thf(f5179,plain,
( spl2_110
| ~ spl2_157
| ~ spl2_67
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f5166,f3110,f1764,f5177,f2781]) ).
thf(f5181,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_2
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f5169,f68]) ).
thf(f5182,plain,
( spl2_128
| ~ spl2_2
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f5181,f3110,f67,f3268]) ).
thf(f5187,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_128 ),
inference(constrained_superposition,[],[f74,f3269]) ).
thf(f5196,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f5187]) ).
thf(f5207,definition,
( spl2_159
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_159])],[avatar_definition]) ).
thf(f5208,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ~ spl2_159 ),
inference(avatar_component_clause,[],[f5207]) ).
thf(f5209,plain,
( spl2_47
| ~ spl2_50
| spl2_159
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f5196,f3268,f5207,f1342,f1327]) ).
thf(f5227,plain,
( ( $true != $true )
| spl2_108
| ~ spl2_159 ),
inference(constrained_superposition,[],[f2774,f5208]) ).
thf(f5238,plain,
( $false
| spl2_108
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f5227]) ).
thf(f5239,plain,
( spl2_108
| ~ spl2_159 ),
inference(avatar_contradiction_clause,[],[f5238]) ).
thf(f5244,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| spl2_50 ),
inference(constrained_superposition,[],[f1343,f50]) ).
thf(f5246,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_50 ),
inference(trivial_inequality_removal,[],[f5244]) ).
thf(f5248,plain,
( spl2_27
| spl2_50 ),
inference(avatar_split_clause,[],[f5246,f1342,f735]) ).
thf(f5278,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f29,f2252]) ).
thf(f5284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f5278]) ).
thf(f5406,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_81 ),
inference(avatar_component_clause,[],[f1911]) ).
thf(f5410,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_98 ),
inference(avatar_component_clause,[],[f2423]) ).
thf(f5433,definition,
( spl2_162
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
thf(f5434,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_162 ),
inference(avatar_component_clause,[],[f5433]) ).
thf(f5436,definition,
( spl2_163
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_163])],[avatar_definition]) ).
thf(f5437,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_163 ),
inference(avatar_component_clause,[],[f5436]) ).
thf(f5440,definition,
( spl2_164
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_164])],[avatar_definition]) ).
thf(f5441,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_164 ),
inference(avatar_component_clause,[],[f5440]) ).
thf(f5442,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_153 ),
inference(avatar_component_clause,[],[f5046]) ).
thf(f5445,definition,
( spl2_165
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_165])],[avatar_definition]) ).
thf(f5446,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_165 ),
inference(avatar_component_clause,[],[f5445]) ).
thf(f5448,definition,
( spl2_166
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_166])],[avatar_definition]) ).
thf(f5449,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_166 ),
inference(avatar_component_clause,[],[f5448]) ).
thf(f5461,definition,
( spl2_167
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_167])],[avatar_definition]) ).
thf(f5462,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_167 ),
inference(avatar_component_clause,[],[f5461]) ).
thf(f5464,definition,
( spl2_168
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_168])],[avatar_definition]) ).
thf(f5465,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_168 ),
inference(avatar_component_clause,[],[f5464]) ).
thf(f5468,definition,
( spl2_169
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_169])],[avatar_definition]) ).
thf(f5469,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_169 ),
inference(avatar_component_clause,[],[f5468]) ).
thf(f5471,definition,
( spl2_170
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_170])],[avatar_definition]) ).
thf(f5472,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_170 ),
inference(avatar_component_clause,[],[f5471]) ).
thf(f5474,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_157 ),
inference(avatar_component_clause,[],[f5177]) ).
thf(f5476,definition,
( spl2_171
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f5477,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f5476]) ).
thf(f5521,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_157 ),
inference(constrained_superposition,[],[f857,f5474]) ).
thf(f5527,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f5521]) ).
thf(f5549,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_156 ),
inference(constrained_superposition,[],[f5174,f444]) ).
thf(f5553,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_156 ),
inference(trivial_inequality_removal,[],[f5549]) ).
thf(f5591,definition,
( spl2_173
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_173])],[avatar_definition]) ).
thf(f5592,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_173 ),
inference(avatar_component_clause,[],[f5591]) ).
thf(f5603,definition,
( spl2_176
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f5604,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ~ spl2_176 ),
inference(avatar_component_clause,[],[f5603]) ).
thf(f5607,definition,
( spl2_177
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).
thf(f5608,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_177 ),
inference(avatar_component_clause,[],[f5607]) ).
thf(f5650,definition,
( spl2_178
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_178])],[avatar_definition]) ).
thf(f5651,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_178 ),
inference(avatar_component_clause,[],[f5650]) ).
thf(f5658,definition,
( spl2_180
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_180])],[avatar_definition]) ).
thf(f5659,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_180 ),
inference(avatar_component_clause,[],[f5658]) ).
thf(f5697,definition,
( spl2_183
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f5698,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_183 ),
inference(avatar_component_clause,[],[f5697]) ).
thf(f5705,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_183 ),
inference(constrained_superposition,[],[f5698,f81]) ).
thf(f5710,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_183 ),
inference(trivial_inequality_removal,[],[f5705]) ).
thf(f5721,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_2
| ~ spl2_36
| ~ spl2_157 ),
inference(constrained_superposition,[],[f5527,f68]) ).
thf(f5725,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_2
| ~ spl2_36
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f5721]) ).
thf(f5730,plain,
( $false
| ~ spl2_2
| ~ spl2_36
| ~ spl2_157 ),
inference(forward_subsumption_resolution,[],[f5725,f68]) ).
thf(f5731,plain,
( ~ spl2_2
| ~ spl2_36
| ~ spl2_157 ),
inference(avatar_contradiction_clause,[],[f5730]) ).
thf(f5732,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_157 ),
inference(constrained_superposition,[],[f5178,f444]) ).
thf(f5736,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_157 ),
inference(trivial_inequality_removal,[],[f5732]) ).
thf(f5753,definition,
( spl2_185
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
thf(f5754,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f5753]) ).
thf(f5757,plain,
( spl2_173
| spl2_183 ),
inference(avatar_split_clause,[],[f5710,f5697,f5591]) ).
thf(f5759,definition,
( spl2_186
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f5760,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f5759]) ).
thf(f5778,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_186 ),
inference(avatar_component_clause,[],[f5759]) ).
thf(f5780,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_122
| ~ spl2_162 ),
inference(constrained_superposition,[],[f3111,f5434]) ).
thf(f5793,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_122
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f5780]) ).
thf(f5801,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_166 ),
inference(constrained_superposition,[],[f3111,f5449]) ).
thf(f5809,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_122
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f5801]) ).
thf(f5849,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_122
| ~ spl2_169 ),
inference(constrained_superposition,[],[f3111,f5469]) ).
thf(f5856,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_122
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f5849]) ).
thf(f5902,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f80,f5754]) ).
thf(f5915,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_21
| ~ spl2_185 ),
inference(constrained_superposition,[],[f4943,f5754]) ).
thf(f5955,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_10
| ~ spl2_21
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f5915,f153]) ).
thf(f5956,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_19
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f5902,f345]) ).
thf(f5968,plain,
( $false
| ~ spl2_7
| spl2_10
| ~ spl2_21
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f5955,f110]) ).
thf(f5969,plain,
( ~ spl2_7
| spl2_10
| ~ spl2_21
| ~ spl2_185 ),
inference(avatar_contradiction_clause,[],[f5968]) ).
thf(f5970,plain,
( $false
| spl2_10
| spl2_19
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f5956,f153]) ).
thf(f5971,plain,
( spl2_10
| spl2_19
| ~ spl2_185 ),
inference(avatar_contradiction_clause,[],[f5970]) ).
thf(f6070,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| ~ spl2_128 ),
inference(constrained_superposition,[],[f5284,f3269]) ).
thf(f6072,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f5284,f50]) ).
thf(f6075,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f6072]) ).
thf(f6076,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f6070]) ).
thf(f6080,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| spl2_75
| ~ spl2_93 ),
inference(forward_subsumption_resolution,[],[f6075,f1868]) ).
thf(f6081,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_85
| ~ spl2_93
| ~ spl2_128 ),
inference(forward_subsumption_resolution,[],[f6076,f2108]) ).
thf(f6082,plain,
( ~ spl2_6
| spl2_1
| spl2_75
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f6080,f2251,f1867,f64,f105]) ).
thf(f6083,plain,
( spl2_47
| ~ spl2_85
| ~ spl2_93
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f6081,f3268,f2251,f2107,f1327]) ).
thf(f6085,definition,
( spl2_193
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).
thf(f6086,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_193 ),
inference(avatar_component_clause,[],[f6085]) ).
thf(f6100,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_6 ),
inference(constrained_superposition,[],[f106,f49]) ).
thf(f6102,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_6 ),
inference(trivial_inequality_removal,[],[f6100]) ).
thf(f6138,definition,
( spl2_195
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_195])],[avatar_definition]) ).
thf(f6139,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_195 ),
inference(avatar_component_clause,[],[f6138]) ).
thf(f6150,definition,
( spl2_198
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).
thf(f6151,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_198 ),
inference(avatar_component_clause,[],[f6150]) ).
thf(f6152,plain,
( spl2_110
| ~ spl2_198
| ~ spl2_122
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f5856,f5468,f3110,f6150,f2781]) ).
thf(f6154,definition,
( spl2_199
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_199])],[avatar_definition]) ).
thf(f6155,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_199 ),
inference(avatar_component_clause,[],[f6154]) ).
thf(f6160,plain,
( spl2_1
| ~ spl2_11
| spl2_195
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f5019,f1579,f6138,f156,f64]) ).
thf(f6169,definition,
( spl2_202
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_202])],[avatar_definition]) ).
thf(f6170,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_202 ),
inference(avatar_component_clause,[],[f6169]) ).
thf(f6173,plain,
( spl2_74
| ~ spl2_198
| ~ spl2_122
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f5809,f5448,f3110,f6150,f1860]) ).
thf(f6174,plain,
( spl2_199
| spl2_6 ),
inference(avatar_split_clause,[],[f6102,f105,f6154]) ).
thf(f6176,plain,
( spl2_110
| spl2_156 ),
inference(avatar_split_clause,[],[f5553,f5173,f2781]) ).
thf(f6181,plain,
( spl2_74
| spl2_157 ),
inference(avatar_split_clause,[],[f5736,f5177,f1860]) ).
thf(f6197,plain,
( ~ spl2_157
| spl2_202
| ~ spl2_122
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f5793,f5433,f3110,f6169,f5177]) ).
thf(f6202,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_99
| ~ spl2_195 ),
inference(constrained_superposition,[],[f2485,f6139]) ).
thf(f6204,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_36
| ~ spl2_195 ),
inference(constrained_superposition,[],[f857,f6139]) ).
thf(f6208,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_36
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f6204]) ).
thf(f6211,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_99
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f6202]) ).
thf(f6214,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_93 ),
inference(constrained_superposition,[],[f4276,f26]) ).
thf(f6216,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_93 ),
inference(trivial_inequality_removal,[],[f6214]) ).
thf(f6218,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_93
| spl2_98 ),
inference(forward_subsumption_resolution,[],[f6216,f5410]) ).
thf(f6219,plain,
( spl2_96
| spl2_93
| spl2_98 ),
inference(avatar_split_clause,[],[f6218,f2423,f2251,f2269]) ).
thf(f6234,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_148 ),
inference(constrained_superposition,[],[f3111,f4173]) ).
thf(f6242,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_122
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f6234]) ).
thf(f6246,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_51 ),
inference(avatar_component_clause,[],[f1347]) ).
thf(f6247,plain,
( spl2_110
| ~ spl2_51
| ~ spl2_122
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f6242,f4172,f3110,f1347,f2781]) ).
thf(f6256,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_157 ),
inference(constrained_superposition,[],[f857,f5474]) ).
thf(f6265,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f6256]) ).
thf(f6269,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_36
| ~ spl2_195 ),
inference(constrained_superposition,[],[f6208,f444]) ).
thf(f6274,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_36
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f6269]) ).
thf(f6286,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f29,f2782]) ).
thf(f6291,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f6286]) ).
thf(f6299,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_61
| ~ spl2_157 ),
inference(constrained_superposition,[],[f1679,f5474]) ).
thf(f6302,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_61
| ~ spl2_195 ),
inference(constrained_superposition,[],[f1679,f6139]) ).
thf(f6303,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_61
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f6302]) ).
thf(f6308,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_61
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f6299]) ).
thf(f6309,plain,
( $false
| ~ spl2_61
| ~ spl2_195
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f6303,f6155]) ).
thf(f6310,plain,
( ~ spl2_61
| ~ spl2_195
| ~ spl2_199 ),
inference(avatar_contradiction_clause,[],[f6309]) ).
thf(f6311,plain,
( $false
| ~ spl2_61
| ~ spl2_96
| ~ spl2_157 ),
inference(forward_subsumption_resolution,[],[f6308,f4282]) ).
thf(f6312,plain,
( ~ spl2_61
| ~ spl2_96
| ~ spl2_157 ),
inference(avatar_contradiction_clause,[],[f6311]) ).
thf(f6316,plain,
( ( $true != $true )
| ~ spl2_104
| ~ spl2_110 ),
inference(constrained_superposition,[],[f2713,f2782]) ).
thf(f6317,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_104 ),
inference(constrained_superposition,[],[f2713,f50]) ).
thf(f6322,plain,
( $false
| ~ spl2_104
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f6316]) ).
thf(f6323,plain,
( ~ spl2_104
| ~ spl2_110 ),
inference(avatar_contradiction_clause,[],[f6322]) ).
thf(f6324,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_104 ),
inference(trivial_inequality_removal,[],[f6317]) ).
thf(f6325,plain,
( $false
| ~ spl2_104
| spl2_108 ),
inference(forward_subsumption_resolution,[],[f6324,f2774]) ).
thf(f6326,plain,
( ~ spl2_104
| spl2_108 ),
inference(avatar_contradiction_clause,[],[f6325]) ).
thf(f6330,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_90
| ~ spl2_108 ),
inference(constrained_superposition,[],[f2145,f4143]) ).
thf(f6333,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_90
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f6330]) ).
thf(f6345,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_23
| ~ spl2_148 ),
inference(constrained_superposition,[],[f553,f4173]) ).
thf(f6347,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_23
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f6345]) ).
thf(f6353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_23
| ~ spl2_108
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f6347,f4143]) ).
thf(f6355,plain,
( spl2_109
| ~ spl2_23
| ~ spl2_108
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f6353,f4172,f2773,f552,f2777]) ).
thf(f6361,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f29,f2767]) ).
thf(f6363,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f6361]) ).
thf(f6370,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_153 ),
inference(constrained_superposition,[],[f5047,f82]) ).
thf(f6374,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_153 ),
inference(trivial_inequality_removal,[],[f6370]) ).
thf(f6377,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_153 ),
inference(forward_subsumption_resolution,[],[f6374,f48]) ).
thf(f6378,plain,
( spl2_164
| spl2_153 ),
inference(avatar_split_clause,[],[f6377,f5046,f5440]) ).
thf(f6441,definition,
( spl2_208
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_208])],[avatar_definition]) ).
thf(f6442,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_208 ),
inference(avatar_component_clause,[],[f6441]) ).
thf(f6444,definition,
( spl2_209
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_209])],[avatar_definition]) ).
thf(f6445,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_209 ),
inference(avatar_component_clause,[],[f6444]) ).
thf(f6458,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_198 ),
inference(constrained_superposition,[],[f6151,f444]) ).
thf(f6463,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_198 ),
inference(trivial_inequality_removal,[],[f6458]) ).
thf(f6467,plain,
( spl2_202
| spl2_198 ),
inference(avatar_split_clause,[],[f6463,f6150,f6169]) ).
thf(f6469,definition,
( spl2_210
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_210])],[avatar_definition]) ).
thf(f6470,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_210 ),
inference(avatar_component_clause,[],[f6469]) ).
thf(f6476,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f97,f6170]) ).
thf(f6487,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f6476]) ).
thf(f6496,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| spl2_51
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f6487,f6246]) ).
thf(f6501,plain,
( spl2_176
| ~ spl2_183
| spl2_51
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f6496,f6169,f1347,f5697,f5603]) ).
thf(f6504,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_173 ),
inference(constrained_superposition,[],[f91,f5592]) ).
thf(f6511,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_173 ),
inference(duplicate_literal_removal,[],[f6504]) ).
thf(f6512,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f6511]) ).
thf(f6513,plain,
( spl2_178
| spl2_14
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f6512,f5591,f204,f5650]) ).
thf(f6543,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_65
| ~ spl2_95 ),
inference(constrained_superposition,[],[f2267,f1758]) ).
thf(f6544,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_95
| ~ spl2_166 ),
inference(constrained_superposition,[],[f2267,f5449]) ).
thf(f6545,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_69
| ~ spl2_95 ),
inference(constrained_superposition,[],[f2267,f1772]) ).
thf(f6551,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_95
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f6544]) ).
thf(f6552,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_69
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f6545]) ).
thf(f6553,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_65
| ~ spl2_95 ),
inference(trivial_inequality_removal,[],[f6543]) ).
thf(f6555,definition,
( spl2_214
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_214])],[avatar_definition]) ).
thf(f6556,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_214 ),
inference(avatar_component_clause,[],[f6555]) ).
thf(f6561,plain,
( ~ spl2_180
| ~ spl2_95
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f6551,f5448,f2266,f5658]) ).
thf(f6562,plain,
( $false
| ~ spl2_60
| ~ spl2_69
| ~ spl2_95 ),
inference(forward_subsumption_resolution,[],[f6552,f3233]) ).
thf(f6563,plain,
( ~ spl2_60
| ~ spl2_69
| ~ spl2_95 ),
inference(avatar_contradiction_clause,[],[f6562]) ).
thf(f6564,plain,
( ~ spl2_112
| ~ spl2_65
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f6553,f2266,f1757,f2792]) ).
thf(f6566,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_67
| ~ spl2_109 ),
inference(constrained_superposition,[],[f2778,f1765]) ).
thf(f6567,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_109
| ~ spl2_169 ),
inference(constrained_superposition,[],[f2778,f5469]) ).
thf(f6568,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_109
| ~ spl2_153 ),
inference(constrained_superposition,[],[f2778,f5442]) ).
thf(f6576,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_109
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f6568]) ).
thf(f6577,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_67
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f6566]) ).
thf(f6578,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_109
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f6567]) ).
thf(f6583,plain,
( $false
| ~ spl2_60
| ~ spl2_109
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f6576,f3233]) ).
thf(f6584,plain,
( ~ spl2_60
| ~ spl2_109
| ~ spl2_153 ),
inference(avatar_contradiction_clause,[],[f6583]) ).
thf(f6585,plain,
( $false
| ~ spl2_67
| ~ spl2_96
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f6577,f4282]) ).
thf(f6586,plain,
( ~ spl2_67
| ~ spl2_96
| ~ spl2_109 ),
inference(avatar_contradiction_clause,[],[f6585]) ).
thf(f6587,plain,
( ~ spl2_180
| ~ spl2_109
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f6578,f5468,f2777,f5658]) ).
thf(f6592,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_13
| ~ spl2_36
| ~ spl2_157 ),
inference(constrained_superposition,[],[f6265,f213]) ).
thf(f6598,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_13
| ~ spl2_36
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f6592]) ).
thf(f6600,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_13
| ~ spl2_36
| ~ spl2_157
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f6598,f6208]) ).
thf(f6602,definition,
( spl2_217
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_217])],[avatar_definition]) ).
thf(f6603,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_217 ),
inference(avatar_component_clause,[],[f6602]) ).
thf(f6604,plain,
( spl2_214
| spl2_217
| ~ spl2_13
| ~ spl2_36
| ~ spl2_157
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f6600,f6138,f5177,f856,f182,f6602,f6555]) ).
thf(f6641,definition,
( spl2_219
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_219])],[avatar_definition]) ).
thf(f6642,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_219 ),
inference(avatar_component_clause,[],[f6641]) ).
thf(f6672,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_214 ),
inference(avatar_component_clause,[],[f6555]) ).
thf(f6674,definition,
( spl2_220
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_220])],[avatar_definition]) ).
thf(f6675,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_220 ),
inference(avatar_component_clause,[],[f6674]) ).
thf(f6688,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_209 ),
inference(constrained_superposition,[],[f6445,f49]) ).
thf(f6690,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_209 ),
inference(trivial_inequality_removal,[],[f6688]) ).
thf(f6717,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_106
| ~ spl2_110 ),
inference(constrained_superposition,[],[f6363,f2782]) ).
thf(f6725,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_106
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f6717]) ).
thf(f6727,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_85 ),
inference(avatar_component_clause,[],[f2107]) ).
thf(f6728,plain,
( ~ spl2_85
| spl2_47
| ~ spl2_106
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f6725,f2781,f2766,f1327,f2107]) ).
thf(f6734,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_106
| ~ spl2_110 ),
inference(constrained_superposition,[],[f6291,f2767]) ).
thf(f6741,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_106
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f6734]) ).
thf(f6743,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_56
| ~ spl2_106
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f6741,f2486]) ).
thf(f6744,plain,
( spl2_5
| ~ spl2_56
| ~ spl2_106
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f6743,f2781,f2766,f1579,f102]) ).
thf(f6745,plain,
( spl2_110
| ~ spl2_90
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f6333,f2773,f2144,f2781]) ).
thf(f6750,plain,
( spl2_90
| ~ spl2_36
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f6274,f6138,f856,f2144]) ).
thf(f6754,definition,
( spl2_221
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_221])],[avatar_definition]) ).
thf(f6755,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_221 ),
inference(avatar_component_clause,[],[f6754]) ).
thf(f6758,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_85
| ~ spl2_127 ),
inference(constrained_superposition,[],[f3232,f2108]) ).
thf(f6770,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_85
| ~ spl2_127 ),
inference(trivial_inequality_removal,[],[f6758]) ).
thf(f6803,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f29,f1769]) ).
thf(f6806,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f6803]) ).
thf(f6812,plain,
( spl2_221
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f6806,f1768,f6754]) ).
thf(f6825,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_127
| ~ spl2_164 ),
inference(constrained_superposition,[],[f3232,f5441]) ).
thf(f6835,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_127
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f6825]) ).
thf(f6840,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_106 ),
inference(avatar_component_clause,[],[f2766]) ).
thf(f6841,plain,
( ~ spl2_106
| spl2_104
| ~ spl2_127
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f6835,f5440,f3231,f2712,f2766]) ).
thf(f6848,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_112 ),
inference(avatar_component_clause,[],[f2792]) ).
thf(f6858,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_208 ),
inference(avatar_component_clause,[],[f6441]) ).
thf(f6860,definition,
( spl2_222
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_222])],[avatar_definition]) ).
thf(f6861,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_222 ),
inference(avatar_component_clause,[],[f6860]) ).
thf(f6868,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_180 ),
inference(constrained_superposition,[],[f5659,f80]) ).
thf(f6873,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_180 ),
inference(trivial_inequality_removal,[],[f6868]) ).
thf(f6893,definition,
( spl2_223
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_223])],[avatar_definition]) ).
thf(f6894,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_223 ),
inference(avatar_component_clause,[],[f6893]) ).
thf(f6896,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_223 ),
inference(constrained_superposition,[],[f6894,f49]) ).
thf(f6898,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_223 ),
inference(trivial_inequality_removal,[],[f6896]) ).
thf(f6900,plain,
( $false
| spl2_208
| spl2_223 ),
inference(forward_subsumption_resolution,[],[f6898,f6858]) ).
thf(f6901,plain,
( spl2_208
| spl2_223 ),
inference(avatar_contradiction_clause,[],[f6900]) ).
thf(f6906,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_214 ),
inference(constrained_superposition,[],[f3111,f6556]) ).
thf(f6913,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f6906]) ).
thf(f6916,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_195
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f6913,f6139]) ).
thf(f6918,plain,
( spl2_74
| ~ spl2_122
| ~ spl2_195
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f6916,f6555,f6138,f3110,f1860]) ).
thf(f6922,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_223 ),
inference(constrained_superposition,[],[f6894,f49]) ).
thf(f6925,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_223 ),
inference(trivial_inequality_removal,[],[f6922]) ).
thf(f6927,plain,
( spl2_208
| spl2_223 ),
inference(avatar_split_clause,[],[f6925,f6893,f6441]) ).
thf(f6928,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_208 ),
inference(constrained_superposition,[],[f3111,f6442]) ).
thf(f6933,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f6928]) ).
thf(f6937,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_195
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f6933,f6139]) ).
thf(f6940,plain,
( spl2_110
| ~ spl2_122
| ~ spl2_195
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f6937,f6441,f6138,f3110,f2781]) ).
thf(f6954,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_66
| ~ spl2_171 ),
inference(constrained_superposition,[],[f5477,f1762]) ).
thf(f6962,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_66
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f6954]) ).
thf(f6969,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_110 ),
inference(avatar_component_clause,[],[f2781]) ).
thf(f6970,plain,
( ~ spl2_110
| spl2_104
| ~ spl2_66
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f6962,f5476,f1761,f2712,f2781]) ).
thf(f6974,definition,
( spl2_224
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_224])],[avatar_definition]) ).
thf(f6975,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_224 ),
inference(avatar_component_clause,[],[f6974]) ).
thf(f6977,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_224 ),
inference(constrained_superposition,[],[f6975,f49]) ).
thf(f6980,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_224 ),
inference(trivial_inequality_removal,[],[f6977]) ).
thf(f6985,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_156 ),
inference(avatar_component_clause,[],[f5173]) ).
thf(f7010,definition,
( spl2_225
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f7011,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_225 ),
inference(avatar_component_clause,[],[f7010]) ).
thf(f7016,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_225 ),
inference(constrained_superposition,[],[f7011,f49]) ).
thf(f7019,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_225 ),
inference(trivial_inequality_removal,[],[f7016]) ).
thf(f7021,plain,
( spl2_219
| spl2_225 ),
inference(avatar_split_clause,[],[f7019,f7010,f6641]) ).
thf(f7022,plain,
( spl2_178
| spl2_180 ),
inference(avatar_split_clause,[],[f6873,f5658,f5650]) ).
thf(f7049,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_169
| ~ spl2_222 ),
inference(constrained_superposition,[],[f6861,f5469]) ).
thf(f7054,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_169
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f7049]) ).
thf(f7057,plain,
( $false
| ~ spl2_169
| ~ spl2_186
| ~ spl2_222 ),
inference(forward_subsumption_resolution,[],[f7054,f5760]) ).
thf(f7058,plain,
( ~ spl2_169
| ~ spl2_186
| ~ spl2_222 ),
inference(avatar_contradiction_clause,[],[f7057]) ).
thf(f7059,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f205,f80]) ).
thf(f7061,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_14
| ~ spl2_112 ),
inference(constrained_superposition,[],[f205,f6848]) ).
thf(f7067,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f7061]) ).
thf(f7068,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f7059]) ).
thf(f7070,plain,
( spl2_109
| ~ spl2_14
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f7067,f2792,f204,f2777]) ).
thf(f7081,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f97,f5472]) ).
thf(f7090,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f7081]) ).
thf(f7107,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_96
| ~ spl2_99
| ~ spl2_195 ),
inference(constrained_superposition,[],[f6211,f4282]) ).
thf(f7114,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_99
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f7107]) ).
thf(f7117,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_96
| ~ spl2_99
| ~ spl2_195
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f7114,f6556]) ).
thf(f7118,plain,
( spl2_220
| ~ spl2_96
| ~ spl2_99
| ~ spl2_195
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f7117,f6555,f6138,f2484,f2269,f6674]) ).
thf(f7123,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_64
| ~ spl2_221 ),
inference(constrained_superposition,[],[f6755,f1755]) ).
thf(f7130,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_64
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f7123]) ).
thf(f7134,plain,
( ~ spl2_164
| spl2_104
| ~ spl2_64
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f7130,f6754,f1754,f2712,f5440]) ).
thf(f7136,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f97,f2782]) ).
thf(f7142,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f29,f2782]) ).
thf(f7149,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f7136]) ).
thf(f7150,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f7142]) ).
thf(f7154,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_153
| ~ spl2_222 ),
inference(constrained_superposition,[],[f6861,f5442]) ).
thf(f7162,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_153
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f7154]) ).
thf(f7164,plain,
( $false
| ~ spl2_27
| ~ spl2_153
| ~ spl2_222 ),
inference(forward_subsumption_resolution,[],[f7162,f3195]) ).
thf(f7165,plain,
( ~ spl2_27
| ~ spl2_153
| ~ spl2_222 ),
inference(avatar_contradiction_clause,[],[f7164]) ).
thf(f7169,plain,
( spl2_214
| spl2_224 ),
inference(avatar_split_clause,[],[f6980,f6974,f6555]) ).
thf(f7178,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_199 ),
inference(constrained_superposition,[],[f205,f6155]) ).
thf(f7183,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_199 ),
inference(trivial_inequality_removal,[],[f7178]) ).
thf(f7184,plain,
( spl2_21
| ~ spl2_14
| ~ spl2_199 ),
inference(avatar_split_clause,[],[f7183,f6154,f204,f356]) ).
thf(f7187,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_156
| ~ spl2_217 ),
inference(constrained_superposition,[],[f6603,f6985]) ).
thf(f7194,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_156
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f7187]) ).
thf(f7197,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_156
| ~ spl2_217 ),
inference(forward_subsumption_resolution,[],[f7194,f48]) ).
thf(f7238,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_156
| spl2_198
| ~ spl2_217 ),
inference(constrained_superposition,[],[f6151,f7197]) ).
thf(f7283,plain,
( $false
| ~ spl2_156
| spl2_198
| ~ spl2_217 ),
inference(forward_subsumption_resolution,[],[f7238,f6985]) ).
thf(f7284,plain,
( ~ spl2_156
| spl2_198
| ~ spl2_217 ),
inference(avatar_contradiction_clause,[],[f7283]) ).
thf(f7332,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f29,f5441]) ).
thf(f7336,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f7332]) ).
thf(f7379,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_90
| ~ spl2_186 ),
inference(constrained_superposition,[],[f2145,f5760]) ).
thf(f7382,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_90
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f7379]) ).
thf(f7392,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_14
| ~ spl2_148 ),
inference(constrained_superposition,[],[f7068,f4173]) ).
thf(f7394,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_14
| ~ spl2_92 ),
inference(constrained_superposition,[],[f7068,f2215]) ).
thf(f7409,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f7394]) ).
thf(f7412,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f7392]) ).
thf(f7415,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_64
| ~ spl2_110 ),
inference(constrained_superposition,[],[f7150,f1755]) ).
thf(f7417,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f7150,f50]) ).
thf(f7421,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f7417]) ).
thf(f7423,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_64
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f7415]) ).
thf(f7425,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_74 ),
inference(avatar_component_clause,[],[f1860]) ).
thf(f7426,plain,
( ~ spl2_74
| spl2_72
| ~ spl2_64
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f7423,f2781,f1754,f1806,f1860]) ).
thf(f7435,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_164
| ~ spl2_170 ),
inference(constrained_superposition,[],[f7336,f5472]) ).
thf(f7436,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_66
| ~ spl2_164 ),
inference(constrained_superposition,[],[f7336,f1762]) ).
thf(f7440,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_66
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f7436]) ).
thf(f7442,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_164
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f7435]) ).
thf(f7446,plain,
( ~ spl2_68
| spl2_72
| ~ spl2_66
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f7440,f5440,f1761,f1806,f1768]) ).
thf(f7448,definition,
( spl2_227
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f7449,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_227 ),
inference(avatar_component_clause,[],[f7448]) ).
thf(f7450,plain,
( spl2_176
| ~ spl2_227
| ~ spl2_164
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f7442,f5471,f5440,f7448,f5603]) ).
thf(f7460,definition,
( spl2_228
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_228])],[avatar_definition]) ).
thf(f7461,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_228 ),
inference(avatar_component_clause,[],[f7460]) ).
thf(f7464,plain,
( ( $true != $true )
| ~ spl2_176
| ~ spl2_202 ),
inference(constrained_superposition,[],[f5604,f6170]) ).
thf(f7465,plain,
( ( $true != $true )
| ~ spl2_170
| ~ spl2_176 ),
inference(constrained_superposition,[],[f5604,f5472]) ).
thf(f7466,plain,
( ( $true != $true )
| ~ spl2_176
| ~ spl2_178 ),
inference(constrained_superposition,[],[f5604,f5651]) ).
thf(f7471,plain,
( $false
| ~ spl2_176
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f7466]) ).
thf(f7472,plain,
( ~ spl2_176
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f7471]) ).
thf(f7474,plain,
( $false
| ~ spl2_170
| ~ spl2_176 ),
inference(trivial_inequality_removal,[],[f7465]) ).
thf(f7475,plain,
( ~ spl2_170
| ~ spl2_176 ),
inference(avatar_contradiction_clause,[],[f7474]) ).
thf(f7476,plain,
( $false
| ~ spl2_176
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f7464]) ).
thf(f7477,plain,
( ~ spl2_176
| ~ spl2_202 ),
inference(avatar_contradiction_clause,[],[f7476]) ).
thf(f7512,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_177 ),
inference(constrained_superposition,[],[f5608,f50]) ).
thf(f7514,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_177 ),
inference(trivial_inequality_removal,[],[f7512]) ).
thf(f7550,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_110
| ~ spl2_168 ),
inference(constrained_superposition,[],[f7150,f5465]) ).
thf(f7563,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_110
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f7550]) ).
thf(f7569,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_110
| ~ spl2_168
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f7563,f6170]) ).
thf(f7570,plain,
( spl2_176
| ~ spl2_110
| ~ spl2_168
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f7569,f6169,f5464,f2781,f5603]) ).
thf(f7571,plain,
( spl2_202
| ~ spl2_90
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f7382,f5759,f2144,f6169]) ).
thf(f7572,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_14
| spl2_106
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f7412,f6840]) ).
thf(f7574,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_14
| ~ spl2_92
| spl2_93 ),
inference(forward_subsumption_resolution,[],[f7409,f4276]) ).
thf(f7575,plain,
( spl2_186
| spl2_177 ),
inference(avatar_split_clause,[],[f7514,f5607,f5759]) ).
thf(f7579,plain,
( ~ spl2_19
| ~ spl2_14
| spl2_106
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f7572,f4172,f2766,f204,f344]) ).
thf(f7580,plain,
( ~ spl2_19
| ~ spl2_14
| ~ spl2_92
| spl2_93 ),
inference(avatar_split_clause,[],[f7574,f2251,f2214,f204,f344]) ).
thf(f7581,plain,
( ~ spl2_105
| spl2_51
| spl2_104
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f7149,f2781,f2712,f1347,f2716]) ).
thf(f7583,plain,
( spl2_176
| ~ spl2_183
| spl2_148
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f7090,f5471,f4172,f5697,f5603]) ).
thf(f7587,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_98
| ~ spl2_110 ),
inference(constrained_superposition,[],[f2782,f2424]) ).
thf(f7591,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_96
| ~ spl2_98 ),
inference(constrained_superposition,[],[f4282,f2424]) ).
thf(f7594,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_98
| ~ spl2_157 ),
inference(constrained_superposition,[],[f5474,f2424]) ).
thf(f7596,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_98
| spl2_106 ),
inference(constrained_superposition,[],[f6840,f2424]) ).
thf(f7599,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_74
| ~ spl2_98 ),
inference(constrained_superposition,[],[f7425,f2424]) ).
thf(f7609,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_98 ),
inference(constrained_superposition,[],[f113,f2424]) ).
thf(f7637,plain,
( ~ spl2_56
| spl2_74
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f7599,f2423,f1860,f1579]) ).
thf(f7639,plain,
( spl2_51
| ~ spl2_98
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f7594,f5177,f2423,f1347]) ).
thf(f7640,plain,
( $false
| spl2_44
| ~ spl2_98
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f7587,f1809]) ).
thf(f7641,plain,
( spl2_44
| ~ spl2_98
| ~ spl2_110 ),
inference(avatar_contradiction_clause,[],[f7640]) ).
thf(f7644,plain,
( spl2_19
| spl2_5
| ~ spl2_11
| ~ spl2_8
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f7609,f2423,f112,f156,f102,f344]) ).
thf(f7645,plain,
( $false
| ~ spl2_85
| ~ spl2_98
| spl2_106 ),
inference(forward_subsumption_resolution,[],[f7596,f2108]) ).
thf(f7646,plain,
( ~ spl2_85
| ~ spl2_98
| spl2_106 ),
inference(avatar_contradiction_clause,[],[f7645]) ).
thf(f7650,plain,
( spl2_19
| ~ spl2_96
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f7591,f2423,f2269,f344]) ).
thf(f7800,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_221 ),
inference(constrained_superposition,[],[f6755,f81]) ).
thf(f7806,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f7800]) ).
thf(f7807,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_85
| ~ spl2_221 ),
inference(forward_subsumption_resolution,[],[f7806,f2108]) ).
thf(f7808,plain,
( spl2_5
| spl2_92
| ~ spl2_85
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f7807,f6754,f2107,f2214,f102]) ).
thf(f7889,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_64 ),
inference(constrained_superposition,[],[f57,f1755]) ).
thf(f7898,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f7889]) ).
thf(f7908,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_66 ),
inference(constrained_superposition,[],[f57,f1762]) ).
thf(f7919,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_66 ),
inference(trivial_inequality_removal,[],[f7908]) ).
thf(f7952,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_163 ),
inference(constrained_superposition,[],[f97,f5437]) ).
thf(f7965,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_163 ),
inference(trivial_inequality_removal,[],[f7952]) ).
thf(f7968,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_165
| ~ spl2_221 ),
inference(constrained_superposition,[],[f6755,f5446]) ).
thf(f7976,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_165
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f7968]) ).
thf(f7984,plain,
( spl2_176
| ~ spl2_227
| ~ spl2_165
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f7976,f6754,f5445,f7448,f5603]) ).
thf(f7987,plain,
( ~ spl2_10
| spl2_5
| ~ spl2_85
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f6770,f3231,f2107,f102,f152]) ).
thf(f8003,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_210 ),
inference(constrained_superposition,[],[f444,f6470]) ).
thf(f8038,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_45
| ~ spl2_210 ),
inference(forward_subsumption_resolution,[],[f8003,f5052]) ).
thf(f8040,plain,
( $false
| spl2_44
| spl2_45
| ~ spl2_210 ),
inference(forward_subsumption_resolution,[],[f8038,f1809]) ).
thf(f8041,plain,
( spl2_44
| spl2_45
| ~ spl2_210 ),
inference(avatar_contradiction_clause,[],[f8040]) ).
thf(f8049,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f74,f5651]) ).
thf(f8056,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f8049]) ).
thf(f8109,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_100 ),
inference(constrained_superposition,[],[f2560,f50]) ).
thf(f8114,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f8109]) ).
thf(f8116,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| spl2_7
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f8114,f3845]) ).
thf(f8117,plain,
( spl2_1
| ~ spl2_6
| spl2_7
| ~ spl2_100 ),
inference(avatar_split_clause,[],[f8116,f2559,f109,f105,f64]) ).
thf(f8120,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_110
| ~ spl2_168 ),
inference(constrained_superposition,[],[f7150,f5465]) ).
thf(f8121,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f74,f5465]) ).
thf(f8126,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_110
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f8120]) ).
thf(f8130,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f8121]) ).
thf(f8134,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_202 ),
inference(avatar_component_clause,[],[f6169]) ).
thf(f8135,plain,
( ~ spl2_202
| spl2_176
| ~ spl2_110
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f8126,f5464,f2781,f5603,f6169]) ).
thf(f8137,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| spl2_108
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f8130,f2774]) ).
thf(f8139,plain,
( spl2_176
| ~ spl2_177
| spl2_108
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f8137,f5464,f2773,f5607,f5603]) ).
thf(f8148,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_198 ),
inference(avatar_component_clause,[],[f6150]) ).
thf(f8185,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_149 ),
inference(constrained_superposition,[],[f4217,f6848]) ).
thf(f8191,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_112
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f8185]) ).
thf(f8195,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_166
| ~ spl2_220 ),
inference(constrained_superposition,[],[f6675,f5449]) ).
thf(f8196,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_92
| ~ spl2_220 ),
inference(constrained_superposition,[],[f6675,f2215]) ).
thf(f8197,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_220 ),
inference(constrained_superposition,[],[f6675,f150]) ).
thf(f8203,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f8197]) ).
thf(f8204,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_92
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f8196]) ).
thf(f8205,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_166
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f8195]) ).
thf(f8214,plain,
( ~ spl2_186
| ~ spl2_166
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f8205,f6674,f5448,f5759]) ).
thf(f8215,plain,
( spl2_5
| ~ spl2_11
| spl2_186
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f8056,f5650,f5759,f156,f102]) ).
thf(f8216,plain,
( ~ spl2_7
| ~ spl2_92
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f8204,f6674,f2214,f109]) ).
thf(f8217,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f8203,f6674,f149,f109]) ).
thf(f8225,plain,
( spl2_195
| spl2_209 ),
inference(avatar_split_clause,[],[f6690,f6444,f6138]) ).
thf(f8226,plain,
( ~ spl2_224
| spl2_208
| spl2_72
| ~ spl2_66 ),
inference(avatar_split_clause,[],[f7919,f1761,f1806,f6441,f6974]) ).
thf(f8227,plain,
( spl2_104
| spl2_214
| ~ spl2_223
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f7898,f1754,f6893,f6555,f2712]) ).
thf(f8231,plain,
( spl2_173
| spl2_72
| ~ spl2_82
| ~ spl2_163 ),
inference(avatar_split_clause,[],[f7965,f5436,f1959,f1806,f5591]) ).
thf(f8234,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_108
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f7421,f2774]) ).
thf(f8236,plain,
( spl2_1
| ~ spl2_209
| spl2_108
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f8234,f2781,f2773,f6444,f64]) ).
thf(f8238,plain,
( ~ spl2_108
| spl2_222
| ~ spl2_112
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f8191,f4216,f2792,f6860,f2773]) ).
thf(f8339,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f29,f1861]) ).
thf(f8340,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f8339]) ).
thf(f8347,plain,
( spl2_171
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f8340,f1860,f5476]) ).
thf(f8452,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_148
| ~ spl2_222 ),
inference(constrained_superposition,[],[f6861,f4173]) ).
thf(f8455,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_148
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f8452]) ).
thf(f8458,plain,
( $false
| ~ spl2_7
| ~ spl2_148
| ~ spl2_222 ),
inference(forward_subsumption_resolution,[],[f8455,f110]) ).
thf(f8459,plain,
( ~ spl2_7
| ~ spl2_148
| ~ spl2_222 ),
inference(avatar_contradiction_clause,[],[f8458]) ).
thf(f8499,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_165 ),
inference(constrained_superposition,[],[f74,f5446]) ).
thf(f8504,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_165 ),
inference(trivial_inequality_removal,[],[f8499]) ).
thf(f8513,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f97,f5465]) ).
thf(f8521,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f8513]) ).
thf(f8572,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_91
| ~ spl2_202 ),
inference(constrained_superposition,[],[f2166,f6170]) ).
thf(f8573,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_91 ),
inference(constrained_superposition,[],[f2166,f1861]) ).
thf(f8574,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_91
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f8572]) ).
thf(f8575,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_74
| ~ spl2_91 ),
inference(trivial_inequality_removal,[],[f8573]) ).
thf(f8579,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_180 ),
inference(avatar_component_clause,[],[f5658]) ).
thf(f8580,plain,
( spl2_185
| spl2_180
| ~ spl2_91
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f8574,f6169,f2165,f5658,f5753]) ).
thf(f8606,definition,
( spl2_232
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f8607,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f8606]) ).
thf(f8609,plain,
( ~ spl2_73
| spl2_186
| spl2_72
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f8504,f5445,f1806,f5759,f1815]) ).
thf(f8656,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_69
| ~ spl2_220 ),
inference(constrained_superposition,[],[f6675,f1772]) ).
thf(f8660,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_69
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f8656]) ).
thf(f8664,plain,
( $false
| ~ spl2_27
| ~ spl2_69
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f8660,f3195]) ).
thf(f8665,plain,
( ~ spl2_27
| ~ spl2_69
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f8664]) ).
thf(f8671,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_35
| ~ spl2_51 ),
inference(constrained_superposition,[],[f1348,f849]) ).
thf(f8672,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| spl2_56 ),
inference(constrained_superposition,[],[f1580,f849]) ).
thf(f8676,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_74 ),
inference(constrained_superposition,[],[f1861,f849]) ).
thf(f8681,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_27
| ~ spl2_35 ),
inference(constrained_superposition,[],[f3195,f849]) ).
thf(f8689,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| spl2_98 ),
inference(constrained_superposition,[],[f5410,f849]) ).
thf(f8698,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_35
| ~ spl2_195 ),
inference(constrained_superposition,[],[f6139,f849]) ).
thf(f8711,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_35 ),
inference(constrained_superposition,[],[f81,f849]) ).
thf(f8758,plain,
( ~ spl2_10
| ~ spl2_35
| spl2_56 ),
inference(avatar_split_clause,[],[f8672,f1579,f848,f152]) ).
thf(f8760,plain,
( spl2_7
| ~ spl2_27
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f8681,f848,f735,f109]) ).
thf(f8763,plain,
( $false
| ~ spl2_35
| spl2_98 ),
inference(forward_subsumption_resolution,[],[f8689,f849]) ).
thf(f8764,plain,
( ~ spl2_35
| spl2_98 ),
inference(avatar_contradiction_clause,[],[f8763]) ).
thf(f8774,plain,
( spl2_19
| spl2_10
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f8711,f848,f152,f344]) ).
thf(f8775,plain,
( spl2_19
| ~ spl2_35
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f8671,f1347,f848,f344]) ).
thf(f8777,plain,
( spl2_85
| ~ spl2_35
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f8676,f1860,f848,f2107]) ).
thf(f8781,plain,
( spl2_199
| ~ spl2_35
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f8698,f6138,f848,f6154]) ).
thf(f8784,plain,
( spl2_173
| spl2_104
| ~ spl2_105
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f8521,f5464,f2716,f2712,f5591]) ).
thf(f8787,plain,
( spl2_96
| spl2_98
| ~ spl2_74
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f8575,f2165,f1860,f2423,f2269]) ).
thf(f8791,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| spl2_35 ),
inference(extensionality_resolution,[],[f55,f1739]) ).
thf(f8792,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_35 ),
inference(extensionality_resolution,[],[f51,f1739]) ).
thf(f8810,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_74
| ~ spl2_98 ),
inference(constrained_superposition,[],[f1861,f2424]) ).
thf(f8822,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f81,f2424]) ).
thf(f8828,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_98 ),
inference(constrained_superposition,[],[f444,f2424]) ).
thf(f8853,plain,
( $false
| spl2_56
| ~ spl2_74
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f8810,f1580]) ).
thf(f8854,plain,
( spl2_56
| ~ spl2_74
| ~ spl2_98 ),
inference(avatar_contradiction_clause,[],[f8853]) ).
thf(f8855,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_5
| ~ spl2_98 ),
inference(forward_subsumption_resolution,[],[f8822,f103]) ).
thf(f8856,plain,
( spl2_44
| spl2_45
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f8828,f2423,f1300,f1297]) ).
thf(f8865,plain,
( spl2_19
| ~ spl2_5
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f8855,f2423,f102,f344]) ).
thf(f8880,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_98 ),
inference(extensionality_resolution,[],[f82,f5410]) ).
thf(f8881,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_98 ),
inference(extensionality_resolution,[],[f82,f5410]) ).
thf(f8885,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_98 ),
inference(extensionality_resolution,[],[f51,f5410]) ).
thf(f8888,plain,
( spl2_165
| spl2_166
| spl2_98 ),
inference(avatar_split_clause,[],[f8880,f2423,f5448,f5445]) ).
thf(f8889,plain,
( spl2_163
| spl2_162
| spl2_98 ),
inference(avatar_split_clause,[],[f8881,f2423,f5433,f5436]) ).
thf(f8891,plain,
( spl2_164
| spl2_153
| spl2_98 ),
inference(avatar_split_clause,[],[f8885,f2423,f5046,f5440]) ).
thf(f8892,plain,
( ( ( 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 ) ) ) ) )
= $true )
| spl2_81 ),
inference(extensionality_resolution,[],[f82,f5406]) ).
thf(f8893,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_81 ),
inference(extensionality_resolution,[],[f82,f5406]) ).
thf(f8894,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_81 ),
inference(extensionality_resolution,[],[f55,f5406]) ).
thf(f8895,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_81 ),
inference(extensionality_resolution,[],[f55,f5406]) ).
thf(f8896,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_81 ),
inference(extensionality_resolution,[],[f51,f5406]) ).
thf(f8897,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_81 ),
inference(extensionality_resolution,[],[f51,f5406]) ).
thf(f8898,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_81 ),
inference(extensionality_resolution,[],[f26,f5406]) ).
thf(f8900,plain,
( spl2_157
| spl2_171
| spl2_81 ),
inference(avatar_split_clause,[],[f8894,f1911,f5476,f5177]) ).
thf(f8901,plain,
( spl2_64
| spl2_65
| spl2_81 ),
inference(avatar_split_clause,[],[f8896,f1911,f1757,f1754]) ).
thf(f8902,plain,
( spl2_221
| spl2_69
| spl2_81 ),
inference(avatar_split_clause,[],[f8895,f1911,f1771,f6754]) ).
thf(f8903,plain,
( spl2_167
| spl2_168
| spl2_81 ),
inference(avatar_split_clause,[],[f8893,f1911,f5464,f5461]) ).
thf(f8905,plain,
( spl2_67
| spl2_66
| spl2_81 ),
inference(avatar_split_clause,[],[f8897,f1911,f1761,f1764]) ).
thf(f8906,plain,
( spl2_170
| spl2_169
| spl2_81 ),
inference(avatar_split_clause,[],[f8892,f1911,f5468,f5471]) ).
thf(f8943,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f57,f2486]) ).
thf(f8955,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f8943]) ).
thf(f8958,plain,
( spl2_5
| spl2_195
| ~ spl2_6
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f8955,f1579,f105,f6138,f102]) ).
thf(f8990,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f57,f2252]) ).
thf(f8995,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f29,f2252]) ).
thf(f8998,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f8990]) ).
thf(f9001,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f8995]) ).
thf(f9004,plain,
( spl2_193
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f9001,f2251,f6085]) ).
thf(f9027,plain,
( spl2_69
| spl2_68
| spl2_81 ),
inference(avatar_split_clause,[],[f8898,f1911,f1768,f1771]) ).
thf(f9028,plain,
( spl2_199
| ~ spl2_224
| spl2_72
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f8998,f2251,f1806,f6974,f6154]) ).
thf(f9029,plain,
( spl2_68
| spl2_69
| spl2_35 ),
inference(avatar_split_clause,[],[f8792,f848,f1771,f1768]) ).
thf(f9050,plain,
( ( $true != $true )
| ~ spl2_72
| ~ spl2_93 ),
inference(constrained_superposition,[],[f1807,f2252]) ).
thf(f9055,plain,
( $false
| ~ spl2_72
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f9050]) ).
thf(f9056,plain,
( ~ spl2_72
| ~ spl2_93 ),
inference(avatar_contradiction_clause,[],[f9055]) ).
thf(f9184,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f729,f5442]) ).
thf(f9188,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_153 ),
inference(duplicate_literal_removal,[],[f9184]) ).
thf(f9189,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f9188]) ).
thf(f9193,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| spl2_110
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f9189,f6969]) ).
thf(f9194,plain,
( spl2_36
| spl2_110
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f9193,f5046,f2781,f856]) ).
thf(f9199,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_173 ),
inference(constrained_superposition,[],[f729,f5592]) ).
thf(f9202,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_173 ),
inference(trivial_inequality_removal,[],[f9199]) ).
thf(f9216,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_21
| ~ spl2_180 ),
inference(constrained_superposition,[],[f357,f8579]) ).
thf(f9220,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_21
| ~ spl2_180 ),
inference(trivial_inequality_removal,[],[f9216]) ).
thf(f9224,plain,
( $false
| ~ spl2_21
| ~ spl2_180
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f9220,f5760]) ).
thf(f9225,plain,
( ~ spl2_21
| ~ spl2_180
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f9224]) ).
thf(f9234,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f29,f5651]) ).
thf(f9236,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f9234]) ).
thf(f9252,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_61
| ~ spl2_156 ),
inference(constrained_superposition,[],[f1679,f6985]) ).
thf(f9264,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_61
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f9252]) ).
thf(f9268,plain,
( $false
| ~ spl2_61
| ~ spl2_112
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f9264,f6848]) ).
thf(f9269,plain,
( ~ spl2_61
| ~ spl2_112
| ~ spl2_156 ),
inference(avatar_contradiction_clause,[],[f9268]) ).
thf(f9304,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_64 ),
inference(constrained_superposition,[],[f97,f1755]) ).
thf(f9306,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_64 ),
inference(constrained_superposition,[],[f74,f1755]) ).
thf(f9313,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f9306]) ).
thf(f9317,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_64 ),
inference(trivial_inequality_removal,[],[f9304]) ).
thf(f9320,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_66 ),
inference(constrained_superposition,[],[f97,f1762]) ).
thf(f9322,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_66 ),
inference(constrained_superposition,[],[f74,f1762]) ).
thf(f9329,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_66 ),
inference(trivial_inequality_removal,[],[f9320]) ).
thf(f9331,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_66 ),
inference(trivial_inequality_removal,[],[f9322]) ).
thf(f9348,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f729,f7461]) ).
thf(f9351,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_228 ),
inference(duplicate_literal_removal,[],[f9348]) ).
thf(f9352,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f9351]) ).
thf(f9355,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_202
| ~ spl2_228 ),
inference(forward_subsumption_resolution,[],[f9352,f8134]) ).
thf(f9356,plain,
( spl2_36
| spl2_202
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f9355,f7460,f6169,f856]) ).
thf(f9404,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_173
| ~ spl2_232 ),
inference(constrained_superposition,[],[f8607,f5592]) ).
thf(f9409,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_173
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f9404]) ).
thf(f9415,plain,
( $false
| ~ spl2_7
| ~ spl2_173
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f9409,f110]) ).
thf(f9416,plain,
( ~ spl2_7
| ~ spl2_173
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f9415]) ).
thf(f9447,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f74,f5472]) ).
thf(f9458,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9447]) ).
thf(f9488,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_198 ),
inference(constrained_superposition,[],[f857,f8148]) ).
thf(f9490,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_45 ),
inference(constrained_superposition,[],[f857,f1301]) ).
thf(f9494,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f9488]) ).
thf(f9499,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_36
| ~ spl2_45 ),
inference(duplicate_literal_removal,[],[f9490]) ).
thf(f9500,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_36
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f9499]) ).
thf(f9505,plain,
( ( $true != $true )
| ~ spl2_36
| ~ spl2_45
| ~ spl2_156 ),
inference(constrained_superposition,[],[f9500,f6985]) ).
thf(f9508,plain,
( ( $true != $true )
| ~ spl2_36
| ~ spl2_45 ),
inference(constrained_superposition,[],[f9500,f1301]) ).
thf(f9519,plain,
( $false
| ~ spl2_36
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f9508]) ).
thf(f9520,plain,
( ~ spl2_36
| ~ spl2_45 ),
inference(avatar_contradiction_clause,[],[f9519]) ).
thf(f9521,plain,
( $false
| ~ spl2_36
| ~ spl2_45
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f9505]) ).
thf(f9522,plain,
( ~ spl2_36
| ~ spl2_45
| ~ spl2_156 ),
inference(avatar_contradiction_clause,[],[f9521]) ).
thf(f9564,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_163
| ~ spl2_193 ),
inference(constrained_superposition,[],[f6086,f5437]) ).
thf(f9573,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_163
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f9564]) ).
thf(f9574,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_163
| ~ spl2_178
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f9573,f5651]) ).
thf(f9575,plain,
( spl2_176
| ~ spl2_163
| ~ spl2_178
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f9574,f6085,f5650,f5436,f5603]) ).
thf(f9588,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_74
| ~ spl2_193 ),
inference(constrained_superposition,[],[f6086,f1861]) ).
thf(f9599,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_74
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f9588]) ).
thf(f9606,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_74
| ~ spl2_85
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f9599,f2108]) ).
thf(f9607,plain,
( spl2_47
| ~ spl2_74
| ~ spl2_85
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f9606,f6085,f2107,f1860,f1327]) ).
thf(f9608,plain,
( ~ spl2_73
| spl2_108
| spl2_72
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f9313,f1754,f1806,f2773,f1815]) ).
thf(f9609,plain,
( spl2_75
| spl2_104
| ~ spl2_131
| ~ spl2_66 ),
inference(avatar_split_clause,[],[f9331,f1761,f3524,f2712,f1867]) ).
thf(f9611,plain,
( spl2_92
| spl2_104
| ~ spl2_105
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f9317,f1754,f2716,f2712,f2214]) ).
thf(f9612,plain,
( spl2_148
| spl2_72
| ~ spl2_82
| ~ spl2_66 ),
inference(avatar_split_clause,[],[f9329,f1761,f1959,f1806,f4172]) ).
thf(f9637,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f729,f4173]) ).
thf(f9638,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_148 ),
inference(constrained_superposition,[],[f91,f4173]) ).
thf(f9640,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f9637]) ).
thf(f9643,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_148 ),
inference(duplicate_literal_removal,[],[f9638]) ).
thf(f9644,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f9643]) ).
thf(f9646,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_110
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f9640,f6969]) ).
thf(f9647,plain,
( spl2_106
| spl2_14
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f9644,f4172,f204,f2766]) ).
thf(f9648,plain,
( spl2_31
| spl2_110
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f9646,f4172,f2781,f798]) ).
thf(f9654,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f29,f2767]) ).
thf(f9655,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f9654]) ).
thf(f9664,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_13
| spl2_112 ),
inference(constrained_superposition,[],[f2793,f213]) ).
thf(f9666,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| spl2_112 ),
inference(trivial_inequality_removal,[],[f9664]) ).
thf(f9733,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_64
| ~ spl2_106 ),
inference(constrained_superposition,[],[f9655,f1755]) ).
thf(f9734,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_106
| ~ spl2_168 ),
inference(constrained_superposition,[],[f9655,f5465]) ).
thf(f9735,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f9655,f50]) ).
thf(f9739,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_106
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f9734]) ).
thf(f9740,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f9735]) ).
thf(f9743,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_64
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f9733]) ).
thf(f9744,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_106
| ~ spl2_168
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f9739,f5651]) ).
thf(f9745,plain,
( spl2_176
| ~ spl2_106
| ~ spl2_168
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f9744,f5650,f5464,f2766,f5603]) ).
thf(f9746,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_36
| ~ spl2_167
| ~ spl2_198 ),
inference(constrained_superposition,[],[f9494,f5462]) ).
thf(f9750,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_36
| ~ spl2_167
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f9746]) ).
thf(f9754,plain,
( $false
| ~ spl2_36
| ~ spl2_156
| ~ spl2_167
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f9750,f6985]) ).
thf(f9755,plain,
( ~ spl2_36
| ~ spl2_156
| ~ spl2_167
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f9754]) ).
thf(f9756,plain,
( spl2_202
| spl2_31
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f9202,f5591,f798,f6169]) ).
thf(f9757,plain,
( spl2_127
| spl2_60
| spl2_35 ),
inference(avatar_split_clause,[],[f8791,f848,f1675,f3231]) ).
thf(f9768,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_60
| ~ spl2_149 ),
inference(constrained_superposition,[],[f4217,f3233]) ).
thf(f9771,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_60
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f9768]) ).
thf(f9790,plain,
( spl2_186
| ~ spl2_131
| spl2_104
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f9458,f5471,f2712,f3524,f5759]) ).
thf(f9791,plain,
( spl2_72
| ~ spl2_93
| ~ spl2_64
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f9743,f2766,f1754,f2251,f1806]) ).
thf(f9834,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_48
| ~ spl2_109 ),
inference(constrained_superposition,[],[f2778,f1331]) ).
thf(f9841,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_48
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f9834]) ).
thf(f9844,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_48
| ~ spl2_60
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f9841,f3233]) ).
thf(f9845,plain,
( spl2_114
| ~ spl2_48
| ~ spl2_60
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f9844,f2777,f1675,f1330,f2882]) ).
thf(f9909,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f97,f5441]) ).
thf(f9915,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f29,f5441]) ).
thf(f9919,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f9909]) ).
thf(f9921,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f9915]) ).
thf(f9972,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f29,f6170]) ).
thf(f9974,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f9972]) ).
thf(f10025,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_93
| ~ spl2_171 ),
inference(constrained_superposition,[],[f5477,f2252]) ).
thf(f10034,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_93
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f10025]) ).
thf(f10035,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_56
| ~ spl2_93
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f10034,f2486]) ).
thf(f10036,plain,
( spl2_5
| ~ spl2_56
| ~ spl2_93
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f10035,f5476,f2251,f1579,f102]) ).
thf(f10038,definition,
( spl2_234
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_234])],[avatar_definition]) ).
thf(f10039,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_234 ),
inference(avatar_component_clause,[],[f10038]) ).
thf(f10040,plain,
( ~ spl2_27
| spl2_234
| ~ spl2_60
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f9771,f4216,f1675,f10038,f735]) ).
thf(f10048,plain,
( ~ spl2_6
| spl2_108
| spl2_1
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f9740,f2766,f64,f2773,f105]) ).
thf(f10049,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_13
| spl2_112 ),
inference(forward_subsumption_resolution,[],[f9666,f48]) ).
thf(f10052,plain,
( spl2_108
| spl2_118
| spl2_199
| ~ spl2_13
| spl2_112 ),
inference(avatar_split_clause,[],[f10049,f2792,f182,f6154,f2977,f2773]) ).
thf(f10082,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f74,f1769]) ).
thf(f10092,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f10082]) ).
thf(f10096,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_157 ),
inference(constrained_superposition,[],[f91,f5474]) ).
thf(f10098,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f10096]) ).
thf(f10118,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_134
| ~ spl2_156 ),
inference(constrained_superposition,[],[f3855,f6985]) ).
thf(f10119,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_134
| ~ spl2_157 ),
inference(constrained_superposition,[],[f3855,f5474]) ).
thf(f10126,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_134
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f10118]) ).
thf(f10129,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_134
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f10119]) ).
thf(f10134,plain,
( ~ spl2_75
| spl2_220
| ~ spl2_134
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f10129,f5177,f3854,f6674,f1867]) ).
thf(f10136,plain,
( ~ spl2_108
| spl2_222
| ~ spl2_134
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f10126,f5173,f3854,f6860,f2773]) ).
thf(f10138,plain,
( ~ spl2_73
| spl2_27
| spl2_72
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f10092,f1768,f1806,f735,f1815]) ).
thf(f10163,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_234 ),
inference(constrained_superposition,[],[f10039,f444]) ).
thf(f10170,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f10163]) ).
thf(f10175,plain,
( spl2_90
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f10170,f10038,f2144]) ).
thf(f10184,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f9921,f81]) ).
thf(f10192,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f10184]) ).
thf(f10200,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_170
| ~ spl2_178 ),
inference(constrained_superposition,[],[f9236,f5472]) ).
thf(f10209,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_170
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f10200]) ).
thf(f10211,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_106
| ~ spl2_170
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f10209,f2767]) ).
thf(f10212,plain,
( spl2_104
| ~ spl2_106
| ~ spl2_170
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f10211,f5650,f5471,f2766,f2712]) ).
thf(f10246,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_178
| ~ spl2_202 ),
inference(constrained_superposition,[],[f9974,f5651]) ).
thf(f10254,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_178
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f10246]) ).
thf(f10256,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_56
| ~ spl2_178
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f10254,f2486]) ).
thf(f10257,plain,
( spl2_5
| ~ spl2_56
| ~ spl2_178
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f10256,f6169,f5650,f1579,f102]) ).
thf(f10263,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_202 ),
inference(constrained_superposition,[],[f8134,f51]) ).
thf(f10264,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_202 ),
inference(constrained_superposition,[],[f8134,f26]) ).
thf(f10265,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_202 ),
inference(trivial_inequality_removal,[],[f10263]) ).
thf(f10266,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_202 ),
inference(trivial_inequality_removal,[],[f10264]) ).
thf(f10267,plain,
( spl2_118
| spl2_198
| spl2_202 ),
inference(avatar_split_clause,[],[f10265,f6169,f6150,f2977]) ).
thf(f10268,plain,
( spl2_198
| spl2_210
| spl2_202 ),
inference(avatar_split_clause,[],[f10266,f6169,f6469,f6150]) ).
thf(f10286,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_31
| ~ spl2_195 ),
inference(constrained_superposition,[],[f799,f6139]) ).
thf(f10294,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f10286]) ).
thf(f10295,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_31
| ~ spl2_195
| ~ spl2_199 ),
inference(forward_subsumption_resolution,[],[f10294,f6155]) ).
thf(f10296,plain,
( spl2_21
| ~ spl2_31
| ~ spl2_195
| ~ spl2_199 ),
inference(avatar_split_clause,[],[f10295,f6154,f6138,f798,f356]) ).
thf(f10303,plain,
( spl2_136
| spl2_85
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f10098,f5177,f2107,f3867]) ).
thf(f10304,plain,
( ~ spl2_56
| spl2_47
| spl2_148
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f9919,f5440,f4172,f1327,f1579]) ).
thf(f10306,plain,
( spl2_5
| ~ spl2_85
| spl2_148
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f10192,f5440,f4172,f2107,f102]) ).
thf(f10314,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f91,f1348]) ).
thf(f10316,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_51 ),
inference(duplicate_literal_removal,[],[f10314]) ).
thf(f10317,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f10316]) ).
thf(f10319,plain,
( spl2_14
| spl2_85
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f10317,f1347,f2107,f204]) ).
thf(f10320,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_85 ),
inference(constrained_superposition,[],[f57,f2108]) ).
thf(f10329,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f10320]) ).
thf(f10341,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| spl2_60 ),
inference(constrained_superposition,[],[f1676,f213]) ).
thf(f10345,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| spl2_60 ),
inference(trivial_inequality_removal,[],[f10341]) ).
thf(f10405,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_112
| ~ spl2_149 ),
inference(constrained_superposition,[],[f4217,f6848]) ).
thf(f10407,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_112
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f10405]) ).
thf(f10459,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_51
| ~ spl2_61 ),
inference(constrained_superposition,[],[f1679,f1348]) ).
thf(f10466,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_51
| ~ spl2_61 ),
inference(trivial_inequality_removal,[],[f10459]) ).
thf(f10472,plain,
( ~ spl2_19
| ~ spl2_51
| ~ spl2_61 ),
inference(avatar_split_clause,[],[f10466,f1678,f1347,f344]) ).
thf(f10482,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_13
| spl2_198 ),
inference(constrained_superposition,[],[f6151,f213]) ).
thf(f10485,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_13
| spl2_198 ),
inference(trivial_inequality_removal,[],[f10482]) ).
thf(f10489,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_13
| spl2_186
| spl2_198 ),
inference(forward_subsumption_resolution,[],[f10485,f5778]) ).
thf(f10491,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| spl2_186
| spl2_198 ),
inference(forward_subsumption_resolution,[],[f10489,f48]) ).
thf(f10492,plain,
( spl2_210
| spl2_195
| ~ spl2_13
| spl2_186
| spl2_198 ),
inference(avatar_split_clause,[],[f10491,f6150,f5759,f182,f6138,f6469]) ).
thf(f10501,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_96
| ~ spl2_149 ),
inference(constrained_superposition,[],[f4217,f4282]) ).
thf(f10503,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_96
| ~ spl2_149 ),
inference(trivial_inequality_removal,[],[f10501]) ).
thf(f10544,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_65
| ~ spl2_220 ),
inference(constrained_superposition,[],[f6675,f1758]) ).
thf(f10549,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_65
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f10544]) ).
thf(f10554,plain,
( $false
| ~ spl2_65
| ~ spl2_108
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f10549,f4143]) ).
thf(f10555,plain,
( ~ spl2_65
| ~ spl2_108
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f10554]) ).
thf(f10556,plain,
( spl2_222
| ~ spl2_108
| ~ spl2_112
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f10407,f4216,f2792,f2773,f6860]) ).
thf(f10557,plain,
( spl2_220
| ~ spl2_75
| ~ spl2_96
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f10503,f4216,f2269,f1867,f6674]) ).
thf(f10561,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_13
| spl2_60 ),
inference(forward_subsumption_resolution,[],[f10345,f48]) ).
thf(f10563,plain,
( spl2_47
| spl2_199
| ~ spl2_209
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f10329,f2107,f6444,f6154,f1327]) ).
thf(f10566,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| spl2_35
| spl2_60 ),
inference(forward_subsumption_resolution,[],[f10561,f1739]) ).
thf(f10568,plain,
( spl2_199
| spl2_27
| ~ spl2_13
| spl2_35
| spl2_60 ),
inference(avatar_split_clause,[],[f10566,f1675,f848,f182,f735,f6154]) ).
thf(f10578,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_195 ),
inference(constrained_superposition,[],[f30,f6139]) ).
thf(f10579,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f10578]) ).
thf(f10614,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_61
| ~ spl2_198 ),
inference(constrained_superposition,[],[f1679,f8148]) ).
thf(f10618,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_61
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f10614]) ).
thf(f10620,plain,
( $false
| ~ spl2_61
| ~ spl2_180
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f10618,f8579]) ).
thf(f10621,plain,
( ~ spl2_61
| ~ spl2_180
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f10620]) ).
thf(f10658,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_195 ),
inference(constrained_superposition,[],[f857,f6139]) ).
thf(f10661,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f10658]) ).
thf(f10665,plain,
( spl2_234
| ~ spl2_36
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f10661,f6138,f856,f10038]) ).
thf(f10668,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_51
| ~ spl2_234 ),
inference(constrained_superposition,[],[f10039,f1348]) ).
thf(f10673,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_51
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f10668]) ).
thf(f10679,plain,
( ~ spl2_7
| ~ spl2_51
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f10673,f10038,f1347,f109]) ).
thf(f10851,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_51
| ~ spl2_195 ),
inference(constrained_superposition,[],[f10579,f1348]) ).
thf(f10855,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_51
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f10851]) ).
thf(f10861,plain,
( spl2_23
| ~ spl2_51
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f10855,f6138,f1347,f552]) ).
thf(f10967,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_65
| ~ spl2_136 ),
inference(constrained_superposition,[],[f3868,f1758]) ).
thf(f10972,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_65
| ~ spl2_136 ),
inference(trivial_inequality_removal,[],[f10967]) ).
thf(f10986,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_153 ),
inference(constrained_superposition,[],[f3942,f5442]) ).
thf(f10989,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_140
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f10986]) ).
thf(f10995,plain,
( $false
| ~ spl2_69
| ~ spl2_140
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f10989,f1772]) ).
thf(f10996,plain,
( ~ spl2_69
| ~ spl2_140
| ~ spl2_153 ),
inference(avatar_contradiction_clause,[],[f10995]) ).
thf(f11010,definition,
( spl2_238
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_238])],[avatar_definition]) ).
thf(f11011,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_238 ),
inference(avatar_component_clause,[],[f11010]) ).
thf(f11060,plain,
( ( $true != $true )
| ~ spl2_72
| ~ spl2_74 ),
inference(constrained_superposition,[],[f1807,f1861]) ).
thf(f11064,plain,
( $false
| ~ spl2_72
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f11060]) ).
thf(f11065,plain,
( ~ spl2_72
| ~ spl2_74 ),
inference(avatar_contradiction_clause,[],[f11064]) ).
thf(f11073,plain,
( ~ spl2_112
| spl2_140
| ~ spl2_65
| ~ spl2_136 ),
inference(avatar_split_clause,[],[f10972,f3867,f1757,f3941,f2792]) ).
thf(f11098,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_136
| ~ spl2_214 ),
inference(constrained_superposition,[],[f3868,f6556]) ).
thf(f11105,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_136
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f11098]) ).
thf(f11108,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_136
| ~ spl2_199
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f11105,f6155]) ).
thf(f11109,plain,
( spl2_220
| ~ spl2_136
| ~ spl2_199
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f11108,f6555,f6154,f3867,f6674]) ).
thf(f11118,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_92 ),
inference(constrained_superposition,[],[f729,f2215]) ).
thf(f11119,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_92 ),
inference(constrained_superposition,[],[f91,f2215]) ).
thf(f11123,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f11118]) ).
thf(f11124,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_92 ),
inference(duplicate_literal_removal,[],[f11119]) ).
thf(f11125,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_92 ),
inference(trivial_inequality_removal,[],[f11124]) ).
thf(f11128,plain,
( spl2_31
| spl2_74
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f11123,f2214,f1860,f798]) ).
thf(f11129,plain,
( spl2_93
| spl2_14
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f11125,f2214,f204,f2251]) ).
thf(f11154,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_208 ),
inference(constrained_superposition,[],[f729,f6442]) ).
thf(f11157,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f11154]) ).
thf(f11160,plain,
( spl2_110
| spl2_134
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f11157,f6441,f3854,f2781]) ).
thf(f11163,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f57,f1769]) ).
thf(f11169,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f11163]) ).
thf(f11176,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_68
| spl2_214 ),
inference(forward_subsumption_resolution,[],[f11169,f6672]) ).
thf(f11179,plain,
( spl2_47
| ~ spl2_209
| ~ spl2_68
| spl2_214 ),
inference(avatar_split_clause,[],[f11176,f6555,f1768,f6444,f1327]) ).
thf(f11184,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f57,f3176]) ).
thf(f11187,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f176,f3176]) ).
thf(f11188,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f55,f3176]) ).
thf(f11191,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_10 ),
inference(duplicate_literal_removal,[],[f11187]) ).
thf(f11192,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f11191]) ).
thf(f11193,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f11188]) ).
thf(f11195,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f11184]) ).
thf(f11199,definition,
( spl2_243
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_243])],[avatar_definition]) ).
thf(f11200,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_243 ),
inference(avatar_component_clause,[],[f11199]) ).
thf(f11201,plain,
( spl2_243
| spl2_5
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f11192,f152,f102,f11199]) ).
thf(f11202,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f11193,f26]) ).
thf(f11205,definition,
( spl2_244
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_244])],[avatar_definition]) ).
thf(f11206,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_244 ),
inference(avatar_component_clause,[],[f11205]) ).
thf(f11207,plain,
( spl2_244
| spl2_5
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f11202,f152,f102,f11205]) ).
thf(f11208,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f91,f150]) ).
thf(f11215,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_9 ),
inference(duplicate_literal_removal,[],[f11208]) ).
thf(f11216,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f11215]) ).
thf(f11220,plain,
( spl2_14
| spl2_15
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f11216,f149,f207,f204]) ).
thf(f11241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_214 ),
inference(constrained_superposition,[],[f91,f6556]) ).
thf(f11244,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f11241]) ).
thf(f11309,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f11195,f49]) ).
thf(f11310,plain,
( spl2_5
| spl2_199
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f11309,f152,f6154,f102]) ).
thf(f11315,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_69 ),
inference(constrained_superposition,[],[f729,f1772]) ).
thf(f11320,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_69 ),
inference(duplicate_literal_removal,[],[f11315]) ).
thf(f11321,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_69 ),
inference(trivial_inequality_removal,[],[f11320]) ).
thf(f11322,plain,
( spl2_36
| spl2_74
| ~ spl2_69 ),
inference(avatar_split_clause,[],[f11321,f1771,f1860,f856]) ).
thf(f11323,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f97,f1861]) ).
thf(f11333,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f11323]) ).
thf(f11401,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_183 ),
inference(constrained_superposition,[],[f5698,f26]) ).
thf(f11402,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_183 ),
inference(trivial_inequality_removal,[],[f11401]) ).
thf(f11422,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_61 ),
inference(constrained_superposition,[],[f1679,f444]) ).
thf(f11424,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_61 ),
inference(constrained_superposition,[],[f1679,f1301]) ).
thf(f11428,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_45
| ~ spl2_61 ),
inference(trivial_inequality_removal,[],[f11424]) ).
thf(f11430,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_61 ),
inference(trivial_inequality_removal,[],[f11422]) ).
thf(f11435,plain,
( $false
| ~ spl2_45
| ~ spl2_60
| ~ spl2_61 ),
inference(forward_subsumption_resolution,[],[f11428,f3233]) ).
thf(f11436,plain,
( ~ spl2_45
| ~ spl2_60
| ~ spl2_61 ),
inference(avatar_contradiction_clause,[],[f11435]) ).
thf(f11449,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f57,f6170]) ).
thf(f11454,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_202 ),
inference(constrained_superposition,[],[f29,f6170]) ).
thf(f11457,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f11454]) ).
thf(f11461,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f11449]) ).
thf(f11464,plain,
( spl2_195
| spl2_176
| ~ spl2_225
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f11461,f6169,f7010,f5603,f6138]) ).
thf(f11479,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_227 ),
inference(constrained_superposition,[],[f7449,f51]) ).
thf(f11482,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_227 ),
inference(trivial_inequality_removal,[],[f11479]) ).
thf(f11484,plain,
( spl2_228
| spl2_118
| spl2_227 ),
inference(avatar_split_clause,[],[f11482,f7448,f2977,f7460]) ).
thf(f11493,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_67
| ~ spl2_222 ),
inference(constrained_superposition,[],[f6861,f1765]) ).
thf(f11502,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_67
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f11493]) ).
thf(f11503,plain,
( $false
| ~ spl2_67
| ~ spl2_75
| ~ spl2_222 ),
inference(forward_subsumption_resolution,[],[f11502,f1955]) ).
thf(f11504,plain,
( ~ spl2_67
| ~ spl2_75
| ~ spl2_222 ),
inference(avatar_contradiction_clause,[],[f11503]) ).
thf(f11506,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl2_199 ),
inference(constrained_superposition,[],[f30,f6155]) ).
thf(f11507,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_199 ),
inference(trivial_inequality_removal,[],[f11506]) ).
thf(f11537,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f29,f5651]) ).
thf(f11540,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f11537]) ).
thf(f11558,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_7
| ~ spl2_243 ),
inference(constrained_superposition,[],[f3845,f11200]) ).
thf(f11565,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| spl2_7
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f11558]) ).
thf(f11571,plain,
( $false
| spl2_7
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f11565,f48]) ).
thf(f11572,plain,
( spl2_7
| ~ spl2_243 ),
inference(avatar_contradiction_clause,[],[f11571]) ).
thf(f11608,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_238 ),
inference(constrained_superposition,[],[f11011,f150]) ).
thf(f11617,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f11608]) ).
thf(f11621,plain,
( $false
| ~ spl2_9
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f11617,f150]) ).
thf(f11622,plain,
( ~ spl2_9
| ~ spl2_238 ),
inference(avatar_contradiction_clause,[],[f11621]) ).
thf(f11624,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_162
| ~ spl2_232 ),
inference(constrained_superposition,[],[f8607,f5434]) ).
thf(f11630,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_162
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f11624]) ).
thf(f11636,plain,
( $false
| ~ spl2_75
| ~ spl2_162
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f11630,f1955]) ).
thf(f11637,plain,
( ~ spl2_75
| ~ spl2_162
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f11636]) ).
thf(f11638,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f205,f80]) ).
thf(f11646,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f11638]) ).
thf(f11691,plain,
( spl2_72
| ~ spl2_82
| spl2_51
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f11333,f1860,f1347,f1959,f1806]) ).
thf(f11695,plain,
( spl2_173
| spl2_185
| spl2_183 ),
inference(avatar_split_clause,[],[f11402,f5697,f5753,f5591]) ).
thf(f11788,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_167 ),
inference(constrained_superposition,[],[f11646,f5462]) ).
thf(f11794,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_14
| ~ spl2_228 ),
inference(constrained_superposition,[],[f11646,f7461]) ).
thf(f11801,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_214 ),
inference(constrained_superposition,[],[f11646,f6556]) ).
thf(f11805,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_14
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f11794]) ).
thf(f11807,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f11801]) ).
thf(f11813,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_167 ),
inference(trivial_inequality_removal,[],[f11788]) ).
thf(f11822,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_165
| ~ spl2_178 ),
inference(constrained_superposition,[],[f11540,f5446]) ).
thf(f11828,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_165
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f11822]) ).
thf(f11832,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_93
| ~ spl2_165
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f11828,f2252]) ).
thf(f11833,plain,
( spl2_72
| ~ spl2_93
| ~ spl2_165
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f11832,f5650,f5445,f2251,f1806]) ).
thf(f11856,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ sK1 @ X0 ) ) )
| ~ spl2_199 ),
inference(constrained_superposition,[],[f11507,f6155]) ).
thf(f11859,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X0 ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_199 ),
inference(trivial_inequality_removal,[],[f11856]) ).
thf(f11863,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_199
| ~ spl2_219 ),
inference(constrained_superposition,[],[f11859,f6642]) ).
thf(f11867,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_199
| ~ spl2_219 ),
inference(trivial_inequality_removal,[],[f11863]) ).
thf(f11871,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_186
| ~ spl2_199
| ~ spl2_219 ),
inference(forward_subsumption_resolution,[],[f11867,f5760]) ).
thf(f11873,plain,
( spl2_232
| ~ spl2_186
| ~ spl2_199
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f11871,f6641,f6154,f5759,f8606]) ).
thf(f11876,plain,
( ~ spl2_199
| spl2_93
| ~ spl2_14
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f11807,f6555,f204,f2251,f6154]) ).
thf(f11877,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_60
| ~ spl2_228 ),
inference(forward_subsumption_resolution,[],[f11805,f3233]) ).
thf(f11882,plain,
( spl2_93
| spl2_149
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f11244,f6555,f4216,f2251]) ).
thf(f11887,plain,
( spl2_178
| ~ spl2_14
| ~ spl2_60
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f11877,f7460,f1675,f204,f5650]) ).
thf(f11892,plain,
( spl2_178
| ~ spl2_112
| ~ spl2_14
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f11813,f5461,f204,f2792,f5650]) ).
thf(f11907,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_195 ),
inference(constrained_superposition,[],[f91,f6139]) ).
thf(f11909,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f11907]) ).
thf(f11915,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_85
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f11909,f6727]) ).
thf(f11916,plain,
( spl2_149
| spl2_85
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f11915,f6138,f2107,f4216]) ).
thf(f11921,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f57,f2252]) ).
thf(f11924,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_93 ),
inference(constrained_superposition,[],[f74,f2252]) ).
thf(f11931,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f11924]) ).
thf(f11932,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_93 ),
inference(trivial_inequality_removal,[],[f11921]) ).
thf(f11940,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_13
| spl2_96 ),
inference(constrained_superposition,[],[f2270,f213]) ).
thf(f11943,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| spl2_96 ),
inference(trivial_inequality_removal,[],[f11940]) ).
thf(f11971,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_106 ),
inference(constrained_superposition,[],[f6840,f26]) ).
thf(f11972,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_106 ),
inference(trivial_inequality_removal,[],[f11971]) ).
thf(f11974,plain,
( spl2_112
| spl2_118
| spl2_106 ),
inference(avatar_split_clause,[],[f11972,f2766,f2977,f2792]) ).
thf(f11976,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_61
| ~ spl2_112 ),
inference(constrained_superposition,[],[f11430,f6848]) ).
thf(f11980,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_61
| ~ spl2_112 ),
inference(trivial_inequality_removal,[],[f11976]) ).
thf(f11982,plain,
( spl2_110
| ~ spl2_61
| ~ spl2_112 ),
inference(avatar_split_clause,[],[f11980,f2792,f1678,f2781]) ).
thf(f12000,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| spl2_156 ),
inference(constrained_superposition,[],[f5174,f213]) ).
thf(f12002,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_13
| spl2_156 ),
inference(trivial_inequality_removal,[],[f12000]) ).
thf(f12018,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f74,f2782]) ).
thf(f12028,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f12018]) ).
thf(f12034,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_164 ),
inference(constrained_superposition,[],[f74,f5441]) ).
thf(f12041,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_164 ),
inference(trivial_inequality_removal,[],[f12034]) ).
thf(f12081,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_67 ),
inference(constrained_superposition,[],[f91,f1765]) ).
thf(f12086,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_67 ),
inference(trivial_inequality_removal,[],[f12081]) ).
thf(f12106,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_166
| ~ spl2_238 ),
inference(constrained_superposition,[],[f11011,f5449]) ).
thf(f12117,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_166
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f12106]) ).
thf(f12120,plain,
( ~ spl2_198
| ~ spl2_166
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f12117,f11010,f5448,f6150]) ).
thf(f12150,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_170
| ~ spl2_202 ),
inference(constrained_superposition,[],[f11457,f5472]) ).
thf(f12161,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_170
| ~ spl2_202 ),
inference(trivial_inequality_removal,[],[f12150]) ).
thf(f12166,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_110
| ~ spl2_170
| ~ spl2_202 ),
inference(forward_subsumption_resolution,[],[f12161,f2782]) ).
thf(f12167,plain,
( spl2_104
| ~ spl2_110
| ~ spl2_170
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f12166,f6169,f5471,f2781,f2712]) ).
thf(f12168,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_13
| spl2_156 ),
inference(forward_subsumption_resolution,[],[f12002,f48]) ).
thf(f12169,plain,
( spl2_136
| spl2_106
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f12086,f1764,f2766,f3867]) ).
thf(f12170,plain,
( ~ spl2_11
| spl2_75
| spl2_5
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f11931,f2251,f102,f1867,f156]) ).
thf(f12172,plain,
( spl2_72
| ~ spl2_224
| spl2_199
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f11932,f2251,f6154,f6974,f1806]) ).
thf(f12174,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_13
| spl2_96 ),
inference(forward_subsumption_resolution,[],[f11943,f48]) ).
thf(f12176,plain,
( ~ spl2_131
| spl2_27
| spl2_104
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f12041,f5440,f2712,f735,f3524]) ).
thf(f12179,plain,
( spl2_47
| ~ spl2_50
| spl2_108
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f12028,f2781,f2773,f1342,f1327]) ).
thf(f12181,plain,
( spl2_114
| spl2_108
| spl2_195
| ~ spl2_13
| spl2_156 ),
inference(avatar_split_clause,[],[f12168,f5173,f182,f6138,f2773,f2882]) ).
thf(f12183,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_13
| spl2_96
| spl2_98 ),
inference(forward_subsumption_resolution,[],[f12174,f5410]) ).
thf(f12184,plain,
( spl2_199
| spl2_75
| ~ spl2_13
| spl2_96
| spl2_98 ),
inference(avatar_split_clause,[],[f12183,f2423,f2269,f182,f1867,f6154]) ).
thf(f12215,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_96
| ~ spl2_244 ),
inference(constrained_superposition,[],[f2270,f11206]) ).
thf(f12220,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_96
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f12215]) ).
thf(f12224,plain,
( $false
| spl2_96
| spl2_98
| ~ spl2_244 ),
inference(forward_subsumption_resolution,[],[f12220,f5410]) ).
thf(f12225,plain,
( spl2_96
| spl2_98
| ~ spl2_244 ),
inference(avatar_contradiction_clause,[],[f12224]) ).
thf(f12235,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_208 ),
inference(constrained_superposition,[],[f11646,f6442]) ).
thf(f12236,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_208 ),
inference(constrained_superposition,[],[f91,f6442]) ).
thf(f12239,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f12236]) ).
thf(f12241,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f12235]) ).
thf(f12242,plain,
( spl2_149
| spl2_106
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f12239,f6441,f2766,f4216]) ).
thf(f12243,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_199
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f12241,f6155]) ).
thf(f12244,plain,
( spl2_106
| ~ spl2_14
| ~ spl2_199
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f12243,f6441,f6154,f204,f2766]) ).
thf(f12284,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_157 ),
inference(constrained_superposition,[],[f857,f5474]) ).
thf(f12290,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_36
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f12284]) ).
thf(f12296,plain,
( spl2_238
| ~ spl2_36
| ~ spl2_157 ),
inference(avatar_split_clause,[],[f12290,f5177,f856,f11010]) ).
thf(f12336,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_167
| ~ spl2_232 ),
inference(constrained_superposition,[],[f8607,f5462]) ).
thf(f12343,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_167
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f12336]) ).
thf(f12348,plain,
( $false
| ~ spl2_108
| ~ spl2_167
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f12343,f4143]) ).
thf(f12349,plain,
( ~ spl2_108
| ~ spl2_167
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f12348]) ).
thf(f12360,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_27 ),
inference(constrained_superposition,[],[f30,f3195]) ).
thf(f12361,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f12360]) ).
thf(f12367,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_75 ),
inference(constrained_superposition,[],[f30,f1955]) ).
thf(f12368,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_75 ),
inference(trivial_inequality_removal,[],[f12367]) ).
thf(f12370,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_214 ),
inference(constrained_superposition,[],[f729,f6556]) ).
thf(f12374,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f12370]) ).
thf(f12379,plain,
( spl2_134
| spl2_74
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f12374,f6555,f1860,f3854]) ).
thf(f12384,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f57,f1861]) ).
thf(f12386,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_74 ),
inference(constrained_superposition,[],[f74,f1861]) ).
thf(f12391,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f12386]) ).
thf(f12397,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_74 ),
inference(trivial_inequality_removal,[],[f12384]) ).
thf(f12403,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_157
| ~ spl2_234 ),
inference(constrained_superposition,[],[f10039,f5474]) ).
thf(f12410,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_157
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f12403]) ).
thf(f12412,plain,
( $false
| ~ spl2_75
| ~ spl2_157
| ~ spl2_234 ),
inference(forward_subsumption_resolution,[],[f12410,f1955]) ).
thf(f12413,plain,
( ~ spl2_75
| ~ spl2_157
| ~ spl2_234 ),
inference(avatar_contradiction_clause,[],[f12412]) ).
thf(f12433,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f5477,f50]) ).
thf(f12439,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f12433]) ).
thf(f12442,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_221 ),
inference(constrained_superposition,[],[f6755,f49]) ).
thf(f12446,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f12442]) ).
thf(f12630,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_75
| ~ spl2_214 ),
inference(constrained_superposition,[],[f12368,f6556]) ).
thf(f12635,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_75
| ~ spl2_214 ),
inference(duplicate_literal_removal,[],[f12630]) ).
thf(f12636,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_75
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f12635]) ).
thf(f12639,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_75
| ~ spl2_186
| ~ spl2_214 ),
inference(constrained_superposition,[],[f12636,f5760]) ).
thf(f12640,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_75
| ~ spl2_108
| ~ spl2_214 ),
inference(constrained_superposition,[],[f12636,f4143]) ).
thf(f12641,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_75
| ~ spl2_214 ),
inference(constrained_superposition,[],[f12636,f1955]) ).
thf(f12642,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_27
| ~ spl2_75
| ~ spl2_214 ),
inference(constrained_superposition,[],[f12636,f3195]) ).
thf(f12644,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_27
| ~ spl2_75
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f12642]) ).
thf(f12645,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_75
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f12641]) ).
thf(f12646,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_75
| ~ spl2_186
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f12639]) ).
thf(f12648,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_75
| ~ spl2_108
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f12640]) ).
thf(f12649,plain,
( spl2_234
| ~ spl2_27
| ~ spl2_75
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f12644,f6555,f1867,f735,f10038]) ).
thf(f12650,plain,
( spl2_220
| ~ spl2_75
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f12645,f6555,f1867,f6674]) ).
thf(f12651,plain,
( spl2_232
| ~ spl2_75
| ~ spl2_186
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f12646,f6555,f5759,f1867,f8606]) ).
thf(f12652,plain,
( spl2_222
| ~ spl2_75
| ~ spl2_108
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f12648,f6555,f2773,f1867,f6860]) ).
thf(f12654,plain,
( ~ spl2_50
| spl2_75
| spl2_47
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f12391,f1860,f1327,f1867,f1342]) ).
thf(f12660,plain,
( spl2_75
| ~ spl2_209
| spl2_1
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f12439,f5476,f64,f6444,f1867]) ).
thf(f12661,plain,
( ~ spl2_50
| spl2_214
| spl2_1
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f12446,f6754,f64,f6555,f1342]) ).
thf(f12664,plain,
( spl2_72
| spl2_195
| ~ spl2_224
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f12397,f1860,f6974,f6138,f1806]) ).
thf(f12672,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_27
| ~ spl2_195 ),
inference(constrained_superposition,[],[f12361,f6139]) ).
thf(f12679,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_27
| ~ spl2_195 ),
inference(duplicate_literal_removal,[],[f12672]) ).
thf(f12680,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_27
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f12679]) ).
thf(f12700,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_92
| ~ spl2_238 ),
inference(constrained_superposition,[],[f11011,f2215]) ).
thf(f12709,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_92
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f12700]) ).
thf(f12711,plain,
( $false
| ~ spl2_51
| ~ spl2_92
| ~ spl2_238 ),
inference(forward_subsumption_resolution,[],[f12709,f1348]) ).
thf(f12712,plain,
( ~ spl2_51
| ~ spl2_92
| ~ spl2_238 ),
inference(avatar_contradiction_clause,[],[f12711]) ).
thf(f12755,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_27
| ~ spl2_108
| ~ spl2_195 ),
inference(constrained_superposition,[],[f12680,f4143]) ).
thf(f12756,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_27
| ~ spl2_195 ),
inference(constrained_superposition,[],[f12680,f3195]) ).
thf(f12760,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_108
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f12755]) ).
thf(f12761,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_27
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f12756]) ).
thf(f12763,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_195
| ~ spl2_228 ),
inference(constrained_superposition,[],[f12761,f7461]) ).
thf(f12773,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_27
| ~ spl2_195
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f12763]) ).
thf(f12776,plain,
( $false
| ~ spl2_27
| ~ spl2_186
| ~ spl2_195
| ~ spl2_228 ),
inference(forward_subsumption_resolution,[],[f12773,f5760]) ).
thf(f12777,plain,
( ~ spl2_27
| ~ spl2_186
| ~ spl2_195
| ~ spl2_228 ),
inference(avatar_contradiction_clause,[],[f12776]) ).
thf(f12789,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_27
| ~ spl2_108
| ~ spl2_167
| ~ spl2_195 ),
inference(constrained_superposition,[],[f12760,f5462]) ).
thf(f12804,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_27
| ~ spl2_108
| ~ spl2_167
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f12789]) ).
thf(f12805,plain,
( $false
| ~ spl2_27
| ~ spl2_108
| ~ spl2_167
| ~ spl2_186
| ~ spl2_195 ),
inference(forward_subsumption_resolution,[],[f12804,f5760]) ).
thf(f12806,plain,
( ~ spl2_27
| ~ spl2_108
| ~ spl2_167
| ~ spl2_186
| ~ spl2_195 ),
inference(avatar_contradiction_clause,[],[f12805]) ).
cnf(s3,plain,
( spl2_7
| spl2_8 ),
inference(sat_conversion,[],[f114]) ).
cnf(s4,plain,
( spl2_5
| spl2_9
| ~ spl2_10 ),
inference(sat_conversion,[],[f154]) ).
cnf(s7,plain,
( spl2_1
| spl2_13 ),
inference(sat_conversion,[],[f184]) ).
cnf(s8,plain,
( ~ spl2_5
| spl2_9 ),
inference(sat_conversion,[],[f193]) ).
cnf(s11,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f249]) ).
cnf(s12,plain,
( ~ spl2_2
| spl2_6
| ~ spl2_7
| spl2_15 ),
inference(sat_conversion,[],[f284]) ).
cnf(s18,plain,
( ~ spl2_2
| ~ spl2_9
| spl2_18 ),
inference(sat_conversion,[],[f359]) ).
cnf(s19,plain,
( ~ spl2_2
| ~ spl2_7
| spl2_21 ),
inference(sat_conversion,[],[f362]) ).
cnf(s36,plain,
( ~ spl2_7
| spl2_27
| ~ spl2_35 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s43,plain,
( ~ spl2_44
| spl2_47
| spl2_48 ),
inference(sat_conversion,[],[f1332]) ).
cnf(s45,plain,
( spl2_27
| ~ spl2_44
| spl2_47
| ~ spl2_50 ),
inference(sat_conversion,[],[f1344]) ).
cnf(s47,plain,
( ~ spl2_44
| spl2_47
| spl2_51 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s48,plain,
( ~ spl2_44
| ~ spl2_47 ),
inference(sat_conversion,[],[f1357]) ).
cnf(s49,plain,
( ~ spl2_15
| ~ spl2_47 ),
inference(sat_conversion,[],[f1361]) ).
cnf(s50,plain,
( ~ spl2_47
| spl2_48 ),
inference(sat_conversion,[],[f1363]) ).
cnf(s56,plain,
( spl2_51
| spl2_56 ),
inference(sat_conversion,[],[f1592]) ).
cnf(s60,plain,
( ~ spl2_51
| spl2_59 ),
inference(sat_conversion,[],[f1659]) ).
cnf(s61,plain,
( ~ spl2_51
| ~ spl2_59
| ~ spl2_60
| spl2_61 ),
inference(sat_conversion,[],[f1680]) ).
cnf(s70,plain,
( ~ spl2_15
| ~ spl2_68
| spl2_72 ),
inference(sat_conversion,[],[f1812]) ).
cnf(s72,plain,
( ~ spl2_15
| ~ spl2_72 ),
inference(sat_conversion,[],[f1829]) ).
cnf(s87,plain,
( spl2_47
| ~ spl2_50
| ~ spl2_74
| spl2_75 ),
inference(sat_conversion,[],[f1956]) ).
cnf(s91,plain,
( ~ spl2_15
| spl2_47
| ~ spl2_74 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s101,plain,
( spl2_35
| ~ spl2_81 ),
inference(sat_conversion,[],[f2102]) ).
cnf(s106,plain,
( spl2_60
| spl2_85 ),
inference(sat_conversion,[],[f2132]) ).
cnf(s108,plain,
( ~ spl2_2
| ~ spl2_7
| spl2_85
| spl2_90 ),
inference(sat_conversion,[],[f2146]) ).
cnf(s111,plain,
( spl2_47
| ~ spl2_85
| spl2_91 ),
inference(sat_conversion,[],[f2167]) ).
cnf(s113,plain,
( spl2_73
| spl2_75 ),
inference(sat_conversion,[],[f2176]) ).
cnf(s124,plain,
( ~ spl2_59
| ~ spl2_92
| spl2_95
| ~ spl2_96 ),
inference(sat_conversion,[],[f2271]) ).
cnf(s127,plain,
( ~ spl2_23
| ~ spl2_75
| ~ spl2_92
| spl2_95 ),
inference(sat_conversion,[],[f2276]) ).
cnf(s152,plain,
( spl2_10
| spl2_19
| ~ spl2_98 ),
inference(sat_conversion,[],[f2566]) ).
cnf(s156,plain,
( ~ spl2_7
| ~ spl2_19
| ~ spl2_21 ),
inference(sat_conversion,[],[f2612]) ).
cnf(s161,plain,
( ~ spl2_51
| spl2_99 ),
inference(sat_conversion,[],[f2668]) ).
cnf(s166,plain,
( spl2_14
| spl2_105
| spl2_106 ),
inference(sat_conversion,[],[f2768]) ).
cnf(s184,plain,
( spl2_98
| ~ spl2_114 ),
inference(sat_conversion,[],[f2944]) ).
cnf(s189,plain,
( spl2_106
| spl2_112 ),
inference(sat_conversion,[],[f2983]) ).
cnf(s192,plain,
( spl2_19
| spl2_100
| ~ spl2_118 ),
inference(sat_conversion,[],[f3034]) ).
cnf(s195,plain,
( spl2_10
| spl2_19
| ~ spl2_118 ),
inference(sat_conversion,[],[f3038]) ).
cnf(s197,plain,
( ~ spl2_104
| ~ spl2_106 ),
inference(sat_conversion,[],[f3062]) ).
cnf(s203,plain,
( ~ spl2_2
| ~ spl2_27
| spl2_122 ),
inference(sat_conversion,[],[f3112]) ).
cnf(s205,plain,
( ~ spl2_23
| ~ spl2_27
| ~ spl2_51
| spl2_61 ),
inference(sat_conversion,[],[f3119]) ).
cnf(s207,plain,
( ~ spl2_25
| ~ spl2_27
| ~ spl2_51 ),
inference(sat_conversion,[],[f3124]) ).
cnf(s209,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_25
| ~ spl2_51 ),
inference(sat_conversion,[],[f3127]) ).
cnf(s215,plain,
( spl2_10
| ~ spl2_35
| ~ spl2_85 ),
inference(sat_conversion,[],[f3188]) ).
cnf(s223,plain,
( spl2_35
| spl2_65
| ~ spl2_104 ),
inference(sat_conversion,[],[f3208]) ).
cnf(s225,plain,
( ~ spl2_47
| ~ spl2_85 ),
inference(sat_conversion,[],[f3222]) ).
cnf(s226,plain,
( ~ spl2_47
| ~ spl2_68 ),
inference(sat_conversion,[],[f3224]) ).
cnf(s227,plain,
( spl2_27
| ~ spl2_47 ),
inference(sat_conversion,[],[f3227]) ).
cnf(s232,plain,
( ~ spl2_18
| ~ spl2_27 ),
inference(sat_conversion,[],[f3239]) ).
cnf(s236,plain,
( ~ spl2_2
| ~ spl2_7
| ~ spl2_9
| spl2_15 ),
inference(sat_conversion,[],[f3273]) ).
cnf(s251,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_61 ),
inference(sat_conversion,[],[f3482]) ).
cnf(s260,plain,
( spl2_5
| ~ spl2_10
| ~ spl2_15 ),
inference(sat_conversion,[],[f3604]) ).
cnf(s262,plain,
( ~ spl2_5
| ~ spl2_56 ),
inference(sat_conversion,[],[f3612]) ).
cnf(s285,plain,
( ~ spl2_9
| ~ spl2_36
| spl2_61 ),
inference(sat_conversion,[],[f3842]) ).
cnf(s286,plain,
( ~ spl2_36
| spl2_122 ),
inference(sat_conversion,[],[f3844]) ).
cnf(s289,plain,
( spl2_7
| spl2_11 ),
inference(sat_conversion,[],[f3852]) ).
cnf(s291,plain,
( ~ spl2_5
| spl2_7 ),
inference(sat_conversion,[],[f3857]) ).
cnf(s293,plain,
( ~ spl2_85
| spl2_127 ),
inference(sat_conversion,[],[f3862]) ).
cnf(s305,plain,
( ~ spl2_14
| spl2_35
| ~ spl2_48
| spl2_61 ),
inference(sat_conversion,[],[f3923]) ).
cnf(s306,plain,
( ~ spl2_14
| ~ spl2_60
| spl2_61 ),
inference(sat_conversion,[],[f3938]) ).
cnf(s312,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_27
| ~ spl2_67
| spl2_74 ),
inference(sat_conversion,[],[f3958]) ).
cnf(s320,plain,
( spl2_5
| ~ spl2_11
| spl2_27
| ~ spl2_85 ),
inference(sat_conversion,[],[f3981]) ).
cnf(s322,plain,
( ~ spl2_72
| spl2_75 ),
inference(sat_conversion,[],[f4004]) ).
cnf(s332,plain,
( spl2_93
| spl2_96 ),
inference(sat_conversion,[],[f4082]) ).
cnf(s347,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_95 ),
inference(sat_conversion,[],[f4204]) ).
cnf(s348,plain,
( ~ spl2_21
| spl2_106
| ~ spl2_108 ),
inference(sat_conversion,[],[f4211]) ).
cnf(s352,plain,
( ~ spl2_1
| ~ spl2_14
| spl2_21 ),
inference(sat_conversion,[],[f4221]) ).
cnf(s355,plain,
( ~ spl2_68
| spl2_72
| ~ spl2_93
| ~ spl2_127 ),
inference(sat_conversion,[],[f4277]) ).
cnf(s359,plain,
( ~ spl2_14
| spl2_95
| ~ spl2_96 ),
inference(sat_conversion,[],[f4301]) ).
cnf(s360,plain,
( ~ spl2_2
| spl2_23
| ~ spl2_92 ),
inference(sat_conversion,[],[f4303]) ).
cnf(s364,plain,
( spl2_5
| ~ spl2_11
| ~ spl2_106
| spl2_108 ),
inference(sat_conversion,[],[f4311]) ).
cnf(s366,plain,
( spl2_108
| spl2_131 ),
inference(sat_conversion,[],[f4314]) ).
cnf(s368,plain,
( spl2_82
| spl2_92 ),
inference(sat_conversion,[],[f4316]) ).
cnf(s369,plain,
( spl2_47
| ~ spl2_56
| ~ spl2_68
| spl2_92 ),
inference(sat_conversion,[],[f4317]) ).
cnf(s373,plain,
( ~ spl2_2
| spl2_23
| ~ spl2_51 ),
inference(sat_conversion,[],[f4346]) ).
cnf(s376,plain,
( ~ spl2_66
| ~ spl2_72 ),
inference(sat_conversion,[],[f4362]) ).
cnf(s380,plain,
( ~ spl2_21
| ~ spl2_75
| spl2_93 ),
inference(sat_conversion,[],[f4378]) ).
cnf(s381,plain,
( ~ spl2_21
| ~ spl2_27
| spl2_85 ),
inference(sat_conversion,[],[f4390]) ).
cnf(s399,plain,
( spl2_105
| spl2_148 ),
inference(sat_conversion,[],[f4487]) ).
cnf(s405,plain,
( ~ spl2_2
| ~ spl2_109 ),
inference(sat_conversion,[],[f4527]) ).
cnf(s407,plain,
( spl2_1
| ~ spl2_6
| spl2_27
| ~ spl2_127 ),
inference(sat_conversion,[],[f4551]) ).
cnf(s431,plain,
( ~ spl2_66
| ~ spl2_93
| spl2_104
| ~ spl2_106 ),
inference(sat_conversion,[],[f4784]) ).
cnf(s434,plain,
( spl2_74
| ~ spl2_75
| ~ spl2_90 ),
inference(sat_conversion,[],[f4801]) ).
cnf(s439,plain,
( spl2_7
| spl2_47
| ~ spl2_50
| ~ spl2_56 ),
inference(sat_conversion,[],[f4806]) ).
cnf(s441,plain,
( spl2_10
| ~ spl2_35
| ~ spl2_56 ),
inference(sat_conversion,[],[f4851]) ).
cnf(s444,plain,
( spl2_27
| ~ spl2_35
| ~ spl2_75 ),
inference(sat_conversion,[],[f4854]) ).
cnf(s467,plain,
( ~ spl2_36
| ~ spl2_51
| spl2_61 ),
inference(sat_conversion,[],[f4985]) ).
cnf(s476,plain,
( ~ spl2_65
| spl2_74
| ~ spl2_122
| ~ spl2_156 ),
inference(sat_conversion,[],[f5175]) ).
cnf(s477,plain,
( ~ spl2_67
| spl2_110
| ~ spl2_122
| ~ spl2_157 ),
inference(sat_conversion,[],[f5179]) ).
cnf(s478,plain,
( ~ spl2_2
| ~ spl2_122
| spl2_128 ),
inference(sat_conversion,[],[f5182]) ).
cnf(s480,plain,
( spl2_47
| ~ spl2_50
| ~ spl2_128
| spl2_159 ),
inference(sat_conversion,[],[f5209]) ).
cnf(s489,plain,
( spl2_108
| ~ spl2_159 ),
inference(sat_conversion,[],[f5239]) ).
cnf(s490,plain,
( spl2_27
| spl2_50 ),
inference(sat_conversion,[],[f5248]) ).
cnf(s531,plain,
( ~ spl2_2
| ~ spl2_36
| ~ spl2_157 ),
inference(sat_conversion,[],[f5731]) ).
cnf(s534,plain,
( spl2_173
| spl2_183 ),
inference(sat_conversion,[],[f5757]) ).
cnf(s554,plain,
( ~ spl2_7
| spl2_10
| ~ spl2_21
| ~ spl2_185 ),
inference(sat_conversion,[],[f5969]) ).
cnf(s555,plain,
( spl2_10
| spl2_19
| ~ spl2_185 ),
inference(sat_conversion,[],[f5971]) ).
cnf(s566,plain,
( spl2_1
| ~ spl2_6
| spl2_75
| ~ spl2_93 ),
inference(sat_conversion,[],[f6082]) ).
cnf(s567,plain,
( spl2_47
| ~ spl2_85
| ~ spl2_93
| ~ spl2_128 ),
inference(sat_conversion,[],[f6083]) ).
cnf(s580,plain,
( spl2_110
| ~ spl2_122
| ~ spl2_169
| ~ spl2_198 ),
inference(sat_conversion,[],[f6152]) ).
cnf(s582,plain,
( spl2_1
| ~ spl2_11
| ~ spl2_56
| spl2_195 ),
inference(sat_conversion,[],[f6160]) ).
cnf(s585,plain,
( spl2_74
| ~ spl2_122
| ~ spl2_166
| ~ spl2_198 ),
inference(sat_conversion,[],[f6173]) ).
cnf(s586,plain,
( spl2_6
| spl2_199 ),
inference(sat_conversion,[],[f6174]) ).
cnf(s588,plain,
( spl2_110
| spl2_156 ),
inference(sat_conversion,[],[f6176]) ).
cnf(s590,plain,
( spl2_74
| spl2_157 ),
inference(sat_conversion,[],[f6181]) ).
cnf(s598,plain,
( ~ spl2_122
| ~ spl2_157
| ~ spl2_162
| spl2_202 ),
inference(sat_conversion,[],[f6197]) ).
cnf(s601,plain,
( spl2_93
| spl2_96
| spl2_98 ),
inference(sat_conversion,[],[f6219]) ).
cnf(s606,plain,
( ~ spl2_51
| spl2_110
| ~ spl2_122
| ~ spl2_148 ),
inference(sat_conversion,[],[f6247]) ).
cnf(s611,plain,
( ~ spl2_61
| ~ spl2_195
| ~ spl2_199 ),
inference(sat_conversion,[],[f6310]) ).
cnf(s612,plain,
( ~ spl2_61
| ~ spl2_96
| ~ spl2_157 ),
inference(sat_conversion,[],[f6312]) ).
cnf(s615,plain,
( ~ spl2_104
| ~ spl2_110 ),
inference(sat_conversion,[],[f6323]) ).
cnf(s617,plain,
( ~ spl2_104
| spl2_108 ),
inference(sat_conversion,[],[f6326]) ).
cnf(s624,plain,
( ~ spl2_23
| ~ spl2_108
| spl2_109
| ~ spl2_148 ),
inference(sat_conversion,[],[f6355]) ).
cnf(s628,plain,
( spl2_153
| spl2_164 ),
inference(sat_conversion,[],[f6378]) ).
cnf(s638,plain,
( spl2_198
| spl2_202 ),
inference(sat_conversion,[],[f6467]) ).
cnf(s644,plain,
( spl2_51
| spl2_176
| ~ spl2_183
| ~ spl2_202 ),
inference(sat_conversion,[],[f6501]) ).
cnf(s645,plain,
( spl2_14
| ~ spl2_173
| spl2_178 ),
inference(sat_conversion,[],[f6513]) ).
cnf(s652,plain,
( ~ spl2_95
| ~ spl2_166
| ~ spl2_180 ),
inference(sat_conversion,[],[f6561]) ).
cnf(s653,plain,
( ~ spl2_60
| ~ spl2_69
| ~ spl2_95 ),
inference(sat_conversion,[],[f6563]) ).
cnf(s654,plain,
( ~ spl2_65
| ~ spl2_95
| ~ spl2_112 ),
inference(sat_conversion,[],[f6564]) ).
cnf(s656,plain,
( ~ spl2_60
| ~ spl2_109
| ~ spl2_153 ),
inference(sat_conversion,[],[f6584]) ).
cnf(s657,plain,
( ~ spl2_67
| ~ spl2_96
| ~ spl2_109 ),
inference(sat_conversion,[],[f6586]) ).
cnf(s658,plain,
( ~ spl2_109
| ~ spl2_169
| ~ spl2_180 ),
inference(sat_conversion,[],[f6587]) ).
cnf(s659,plain,
( ~ spl2_13
| ~ spl2_36
| ~ spl2_157
| ~ spl2_195
| spl2_214
| spl2_217 ),
inference(sat_conversion,[],[f6604]) ).
cnf(s666,plain,
( spl2_47
| ~ spl2_85
| ~ spl2_106
| ~ spl2_110 ),
inference(sat_conversion,[],[f6728]) ).
cnf(s667,plain,
( spl2_5
| ~ spl2_56
| ~ spl2_106
| ~ spl2_110 ),
inference(sat_conversion,[],[f6744]) ).
cnf(s668,plain,
( ~ spl2_90
| ~ spl2_108
| spl2_110 ),
inference(sat_conversion,[],[f6745]) ).
cnf(s673,plain,
( ~ spl2_36
| spl2_90
| ~ spl2_195 ),
inference(sat_conversion,[],[f6750]) ).
cnf(s682,plain,
( ~ spl2_68
| spl2_221 ),
inference(sat_conversion,[],[f6812]) ).
cnf(s688,plain,
( spl2_104
| ~ spl2_106
| ~ spl2_127
| ~ spl2_164 ),
inference(sat_conversion,[],[f6841]) ).
cnf(s698,plain,
( spl2_208
| spl2_223 ),
inference(sat_conversion,[],[f6901]) ).
cnf(s703,plain,
( spl2_74
| ~ spl2_122
| ~ spl2_195
| ~ spl2_214 ),
inference(sat_conversion,[],[f6918]) ).
cnf(s704,plain,
( spl2_208
| spl2_223 ),
inference(sat_conversion,[],[f6927]) ).
cnf(s708,plain,
( spl2_110
| ~ spl2_122
| ~ spl2_195
| ~ spl2_208 ),
inference(sat_conversion,[],[f6940]) ).
cnf(s711,plain,
( ~ spl2_66
| spl2_104
| ~ spl2_110
| ~ spl2_171 ),
inference(sat_conversion,[],[f6970]) ).
cnf(s719,plain,
( spl2_219
| spl2_225 ),
inference(sat_conversion,[],[f7021]) ).
cnf(s721,plain,
( spl2_178
| spl2_180 ),
inference(sat_conversion,[],[f7022]) ).
cnf(s725,plain,
( ~ spl2_169
| ~ spl2_186
| ~ spl2_222 ),
inference(sat_conversion,[],[f7058]) ).
cnf(s726,plain,
( ~ spl2_14
| spl2_109
| ~ spl2_112 ),
inference(sat_conversion,[],[f7070]) ).
cnf(s730,plain,
( ~ spl2_96
| ~ spl2_99
| ~ spl2_195
| ~ spl2_214
| spl2_220 ),
inference(sat_conversion,[],[f7118]) ).
cnf(s732,plain,
( ~ spl2_64
| spl2_104
| ~ spl2_164
| ~ spl2_221 ),
inference(sat_conversion,[],[f7134]) ).
cnf(s735,plain,
( ~ spl2_27
| ~ spl2_153
| ~ spl2_222 ),
inference(sat_conversion,[],[f7165]) ).
cnf(s738,plain,
( spl2_214
| spl2_224 ),
inference(sat_conversion,[],[f7169]) ).
cnf(s743,plain,
( ~ spl2_14
| spl2_21
| ~ spl2_199 ),
inference(sat_conversion,[],[f7184]) ).
cnf(s751,plain,
( ~ spl2_156
| spl2_198
| ~ spl2_217 ),
inference(sat_conversion,[],[f7284]) ).
cnf(s769,plain,
( ~ spl2_64
| spl2_72
| ~ spl2_74
| ~ spl2_110 ),
inference(sat_conversion,[],[f7426]) ).
cnf(s770,plain,
( ~ spl2_66
| ~ spl2_68
| spl2_72
| ~ spl2_164 ),
inference(sat_conversion,[],[f7446]) ).
cnf(s771,plain,
( ~ spl2_164
| ~ spl2_170
| spl2_176
| ~ spl2_227 ),
inference(sat_conversion,[],[f7450]) ).
cnf(s774,plain,
( ~ spl2_176
| ~ spl2_178 ),
inference(sat_conversion,[],[f7472]) ).
cnf(s775,plain,
( ~ spl2_170
| ~ spl2_176 ),
inference(sat_conversion,[],[f7475]) ).
cnf(s776,plain,
( ~ spl2_176
| ~ spl2_202 ),
inference(sat_conversion,[],[f7477]) ).
cnf(s788,plain,
( ~ spl2_110
| ~ spl2_168
| spl2_176
| ~ spl2_202 ),
inference(sat_conversion,[],[f7570]) ).
cnf(s789,plain,
( ~ spl2_90
| ~ spl2_186
| spl2_202 ),
inference(sat_conversion,[],[f7571]) ).
cnf(s790,plain,
( spl2_177
| spl2_186 ),
inference(sat_conversion,[],[f7575]) ).
cnf(s794,plain,
( ~ spl2_14
| ~ spl2_19
| spl2_106
| ~ spl2_148 ),
inference(sat_conversion,[],[f7579]) ).
cnf(s796,plain,
( ~ spl2_14
| ~ spl2_19
| ~ spl2_92
| spl2_93 ),
inference(sat_conversion,[],[f7580]) ).
cnf(s797,plain,
( spl2_51
| spl2_104
| ~ spl2_105
| ~ spl2_110 ),
inference(sat_conversion,[],[f7581]) ).
cnf(s799,plain,
( spl2_148
| ~ spl2_170
| spl2_176
| ~ spl2_183 ),
inference(sat_conversion,[],[f7583]) ).
cnf(s804,plain,
( ~ spl2_56
| spl2_74
| ~ spl2_98 ),
inference(sat_conversion,[],[f7637]) ).
cnf(s806,plain,
( spl2_51
| ~ spl2_98
| ~ spl2_157 ),
inference(sat_conversion,[],[f7639]) ).
cnf(s807,plain,
( spl2_44
| ~ spl2_98
| ~ spl2_110 ),
inference(sat_conversion,[],[f7641]) ).
cnf(s808,plain,
( spl2_5
| ~ spl2_8
| ~ spl2_11
| spl2_19
| ~ spl2_98 ),
inference(sat_conversion,[],[f7644]) ).
cnf(s809,plain,
( ~ spl2_85
| ~ spl2_98
| spl2_106 ),
inference(sat_conversion,[],[f7646]) ).
cnf(s811,plain,
( spl2_19
| ~ spl2_96
| ~ spl2_98 ),
inference(sat_conversion,[],[f7650]) ).
cnf(s841,plain,
( spl2_5
| ~ spl2_85
| spl2_92
| ~ spl2_221 ),
inference(sat_conversion,[],[f7808]) ).
cnf(s864,plain,
( ~ spl2_165
| spl2_176
| ~ spl2_221
| ~ spl2_227 ),
inference(sat_conversion,[],[f7984]) ).
cnf(s867,plain,
( spl2_5
| ~ spl2_10
| ~ spl2_85
| ~ spl2_127 ),
inference(sat_conversion,[],[f7987]) ).
cnf(s872,plain,
( spl2_44
| spl2_45
| ~ spl2_210 ),
inference(sat_conversion,[],[f8041]) ).
cnf(s879,plain,
( spl2_1
| ~ spl2_6
| spl2_7
| ~ spl2_100 ),
inference(sat_conversion,[],[f8117]) ).
cnf(s880,plain,
( ~ spl2_110
| ~ spl2_168
| spl2_176
| ~ spl2_202 ),
inference(sat_conversion,[],[f8135]) ).
cnf(s883,plain,
( spl2_108
| ~ spl2_168
| spl2_176
| ~ spl2_177 ),
inference(sat_conversion,[],[f8139]) ).
cnf(s891,plain,
( ~ spl2_166
| ~ spl2_186
| ~ spl2_220 ),
inference(sat_conversion,[],[f8214]) ).
cnf(s892,plain,
( spl2_5
| ~ spl2_11
| ~ spl2_178
| spl2_186 ),
inference(sat_conversion,[],[f8215]) ).
cnf(s893,plain,
( ~ spl2_7
| ~ spl2_92
| ~ spl2_220 ),
inference(sat_conversion,[],[f8216]) ).
cnf(s894,plain,
( ~ spl2_7
| ~ spl2_9
| ~ spl2_220 ),
inference(sat_conversion,[],[f8217]) ).
cnf(s901,plain,
( spl2_195
| spl2_209 ),
inference(sat_conversion,[],[f8225]) ).
cnf(s902,plain,
( ~ spl2_66
| spl2_72
| spl2_208
| ~ spl2_224 ),
inference(sat_conversion,[],[f8226]) ).
cnf(s903,plain,
( ~ spl2_64
| spl2_104
| spl2_214
| ~ spl2_223 ),
inference(sat_conversion,[],[f8227]) ).
cnf(s907,plain,
( spl2_72
| ~ spl2_82
| ~ spl2_163
| spl2_173 ),
inference(sat_conversion,[],[f8231]) ).
cnf(s911,plain,
( spl2_1
| spl2_108
| ~ spl2_110
| ~ spl2_209 ),
inference(sat_conversion,[],[f8236]) ).
cnf(s913,plain,
( ~ spl2_108
| ~ spl2_112
| ~ spl2_149
| spl2_222 ),
inference(sat_conversion,[],[f8238]) ).
cnf(s927,plain,
( ~ spl2_74
| spl2_171 ),
inference(sat_conversion,[],[f8347]) ).
cnf(s946,plain,
( ~ spl2_7
| ~ spl2_148
| ~ spl2_222 ),
inference(sat_conversion,[],[f8459]) ).
cnf(s960,plain,
( ~ spl2_91
| spl2_180
| spl2_185
| ~ spl2_202 ),
inference(sat_conversion,[],[f8580]) ).
cnf(s964,plain,
( spl2_72
| ~ spl2_73
| ~ spl2_165
| spl2_186 ),
inference(sat_conversion,[],[f8609]) ).
cnf(s972,plain,
( ~ spl2_27
| ~ spl2_69
| ~ spl2_220 ),
inference(sat_conversion,[],[f8665]) ).
cnf(s989,plain,
( ~ spl2_10
| ~ spl2_35
| spl2_56 ),
inference(sat_conversion,[],[f8758]) ).
cnf(s992,plain,
( spl2_7
| ~ spl2_27
| ~ spl2_35 ),
inference(sat_conversion,[],[f8760]) ).
cnf(s993,plain,
( ~ spl2_35
| spl2_98 ),
inference(sat_conversion,[],[f8764]) ).
cnf(s1004,plain,
( spl2_10
| spl2_19
| ~ spl2_35 ),
inference(sat_conversion,[],[f8774]) ).
cnf(s1005,plain,
( spl2_19
| ~ spl2_35
| ~ spl2_51 ),
inference(sat_conversion,[],[f8775]) ).
cnf(s1007,plain,
( ~ spl2_35
| ~ spl2_74
| spl2_85 ),
inference(sat_conversion,[],[f8777]) ).
cnf(s1011,plain,
( ~ spl2_35
| ~ spl2_195
| spl2_199 ),
inference(sat_conversion,[],[f8781]) ).
cnf(s1014,plain,
( spl2_104
| ~ spl2_105
| ~ spl2_168
| spl2_173 ),
inference(sat_conversion,[],[f8784]) ).
cnf(s1017,plain,
( ~ spl2_74
| ~ spl2_91
| spl2_96
| spl2_98 ),
inference(sat_conversion,[],[f8787]) ).
cnf(s1025,plain,
( spl2_56
| ~ spl2_74
| ~ spl2_98 ),
inference(sat_conversion,[],[f8854]) ).
cnf(s1026,plain,
( spl2_44
| spl2_45
| ~ spl2_98 ),
inference(sat_conversion,[],[f8856]) ).
cnf(s1033,plain,
( ~ spl2_5
| spl2_19
| ~ spl2_98 ),
inference(sat_conversion,[],[f8865]) ).
cnf(s1038,plain,
( spl2_98
| spl2_165
| spl2_166 ),
inference(sat_conversion,[],[f8888]) ).
cnf(s1039,plain,
( spl2_98
| spl2_162
| spl2_163 ),
inference(sat_conversion,[],[f8889]) ).
cnf(s1041,plain,
( spl2_98
| spl2_153
| spl2_164 ),
inference(sat_conversion,[],[f8891]) ).
cnf(s1042,plain,
( spl2_81
| spl2_157
| spl2_171 ),
inference(sat_conversion,[],[f8900]) ).
cnf(s1043,plain,
( spl2_64
| spl2_65
| spl2_81 ),
inference(sat_conversion,[],[f8901]) ).
cnf(s1044,plain,
( spl2_69
| spl2_81
| spl2_221 ),
inference(sat_conversion,[],[f8902]) ).
cnf(s1045,plain,
( spl2_81
| spl2_167
| spl2_168 ),
inference(sat_conversion,[],[f8903]) ).
cnf(s1046,plain,
( spl2_66
| spl2_67
| spl2_81 ),
inference(sat_conversion,[],[f8905]) ).
cnf(s1047,plain,
( spl2_81
| spl2_169
| spl2_170 ),
inference(sat_conversion,[],[f8906]) ).
cnf(s1056,plain,
( spl2_5
| ~ spl2_6
| ~ spl2_56
| spl2_195 ),
inference(sat_conversion,[],[f8958]) ).
cnf(s1062,plain,
( ~ spl2_93
| spl2_193 ),
inference(sat_conversion,[],[f9004]) ).
cnf(s1066,plain,
( spl2_68
| spl2_69
| spl2_81 ),
inference(sat_conversion,[],[f9027]) ).
cnf(s1067,plain,
( spl2_72
| ~ spl2_93
| spl2_199
| ~ spl2_224 ),
inference(sat_conversion,[],[f9028]) ).
cnf(s1068,plain,
( spl2_35
| spl2_68
| spl2_69 ),
inference(sat_conversion,[],[f9029]) ).
cnf(s1071,plain,
( ~ spl2_72
| ~ spl2_93 ),
inference(sat_conversion,[],[f9056]) ).
cnf(s1087,plain,
( spl2_36
| spl2_110
| ~ spl2_153 ),
inference(sat_conversion,[],[f9194]) ).
cnf(s1088,plain,
( ~ spl2_21
| ~ spl2_180
| ~ spl2_186 ),
inference(sat_conversion,[],[f9225]) ).
cnf(s1094,plain,
( ~ spl2_61
| ~ spl2_112
| ~ spl2_156 ),
inference(sat_conversion,[],[f9269]) ).
cnf(s1108,plain,
( spl2_36
| spl2_202
| ~ spl2_228 ),
inference(sat_conversion,[],[f9356]) ).
cnf(s1114,plain,
( ~ spl2_7
| ~ spl2_173
| ~ spl2_232 ),
inference(sat_conversion,[],[f9416]) ).
cnf(s1125,plain,
( ~ spl2_36
| ~ spl2_45 ),
inference(sat_conversion,[],[f9520]) ).
cnf(s1126,plain,
( ~ spl2_36
| ~ spl2_45
| ~ spl2_156 ),
inference(sat_conversion,[],[f9522]) ).
cnf(s1128,plain,
( ~ spl2_163
| spl2_176
| ~ spl2_178
| ~ spl2_193 ),
inference(sat_conversion,[],[f9575]) ).
cnf(s1134,plain,
( spl2_47
| ~ spl2_74
| ~ spl2_85
| ~ spl2_193 ),
inference(sat_conversion,[],[f9607]) ).
cnf(s1135,plain,
( ~ spl2_64
| spl2_72
| ~ spl2_73
| spl2_108 ),
inference(sat_conversion,[],[f9608]) ).
cnf(s1136,plain,
( ~ spl2_66
| spl2_75
| spl2_104
| ~ spl2_131 ),
inference(sat_conversion,[],[f9609]) ).
cnf(s1138,plain,
( ~ spl2_64
| spl2_92
| spl2_104
| ~ spl2_105 ),
inference(sat_conversion,[],[f9611]) ).
cnf(s1139,plain,
( ~ spl2_66
| spl2_72
| ~ spl2_82
| spl2_148 ),
inference(sat_conversion,[],[f9612]) ).
cnf(s1145,plain,
( spl2_14
| spl2_106
| ~ spl2_148 ),
inference(sat_conversion,[],[f9647]) ).
cnf(s1146,plain,
( spl2_31
| spl2_110
| ~ spl2_148 ),
inference(sat_conversion,[],[f9648]) ).
cnf(s1153,plain,
( ~ spl2_106
| ~ spl2_168
| spl2_176
| ~ spl2_178 ),
inference(sat_conversion,[],[f9745]) ).
cnf(s1154,plain,
( ~ spl2_36
| ~ spl2_156
| ~ spl2_167
| ~ spl2_198 ),
inference(sat_conversion,[],[f9755]) ).
cnf(s1155,plain,
( spl2_31
| ~ spl2_173
| spl2_202 ),
inference(sat_conversion,[],[f9756]) ).
cnf(s1156,plain,
( spl2_35
| spl2_60
| spl2_127 ),
inference(sat_conversion,[],[f9757]) ).
cnf(s1161,plain,
( spl2_104
| ~ spl2_131
| ~ spl2_170
| spl2_186 ),
inference(sat_conversion,[],[f9790]) ).
cnf(s1162,plain,
( ~ spl2_64
| spl2_72
| ~ spl2_93
| ~ spl2_106 ),
inference(sat_conversion,[],[f9791]) ).
cnf(s1171,plain,
( ~ spl2_48
| ~ spl2_60
| ~ spl2_109
| spl2_114 ),
inference(sat_conversion,[],[f9845]) ).
cnf(s1190,plain,
( spl2_5
| ~ spl2_56
| ~ spl2_93
| ~ spl2_171 ),
inference(sat_conversion,[],[f10036]) ).
cnf(s1191,plain,
( ~ spl2_27
| ~ spl2_60
| ~ spl2_149
| spl2_234 ),
inference(sat_conversion,[],[f10040]) ).
cnf(s1196,plain,
( spl2_1
| ~ spl2_6
| ~ spl2_106
| spl2_108 ),
inference(sat_conversion,[],[f10048]) ).
cnf(s1199,plain,
( ~ spl2_13
| spl2_108
| spl2_112
| spl2_118
| spl2_199 ),
inference(sat_conversion,[],[f10052]) ).
cnf(s1211,plain,
( ~ spl2_75
| ~ spl2_134
| ~ spl2_157
| spl2_220 ),
inference(sat_conversion,[],[f10134]) ).
cnf(s1212,plain,
( ~ spl2_108
| ~ spl2_134
| ~ spl2_156
| spl2_222 ),
inference(sat_conversion,[],[f10136]) ).
cnf(s1214,plain,
( spl2_27
| ~ spl2_68
| spl2_72
| ~ spl2_73 ),
inference(sat_conversion,[],[f10138]) ).
cnf(s1218,plain,
( spl2_90
| ~ spl2_234 ),
inference(sat_conversion,[],[f10175]) ).
cnf(s1220,plain,
( spl2_104
| ~ spl2_106
| ~ spl2_170
| ~ spl2_178 ),
inference(sat_conversion,[],[f10212]) ).
cnf(s1225,plain,
( spl2_5
| ~ spl2_56
| ~ spl2_178
| ~ spl2_202 ),
inference(sat_conversion,[],[f10257]) ).
cnf(s1228,plain,
( spl2_118
| spl2_198
| spl2_202 ),
inference(sat_conversion,[],[f10267]) ).
cnf(s1229,plain,
( spl2_198
| spl2_202
| spl2_210 ),
inference(sat_conversion,[],[f10268]) ).
cnf(s1231,plain,
( spl2_21
| ~ spl2_31
| ~ spl2_195
| ~ spl2_199 ),
inference(sat_conversion,[],[f10296]) ).
cnf(s1235,plain,
( spl2_85
| spl2_136
| ~ spl2_157 ),
inference(sat_conversion,[],[f10303]) ).
cnf(s1236,plain,
( spl2_47
| ~ spl2_56
| spl2_148
| ~ spl2_164 ),
inference(sat_conversion,[],[f10304]) ).
cnf(s1238,plain,
( spl2_5
| ~ spl2_85
| spl2_148
| ~ spl2_164 ),
inference(sat_conversion,[],[f10306]) ).
cnf(s1243,plain,
( spl2_14
| ~ spl2_51
| spl2_85 ),
inference(sat_conversion,[],[f10319]) ).
cnf(s1269,plain,
( ~ spl2_19
| ~ spl2_51
| ~ spl2_61 ),
inference(sat_conversion,[],[f10472]) ).
cnf(s1274,plain,
( ~ spl2_13
| spl2_186
| spl2_195
| spl2_198
| spl2_210 ),
inference(sat_conversion,[],[f10492]) ).
cnf(s1286,plain,
( ~ spl2_65
| ~ spl2_108
| ~ spl2_220 ),
inference(sat_conversion,[],[f10555]) ).
cnf(s1287,plain,
( ~ spl2_108
| ~ spl2_112
| ~ spl2_149
| spl2_222 ),
inference(sat_conversion,[],[f10556]) ).
cnf(s1288,plain,
( ~ spl2_75
| ~ spl2_96
| ~ spl2_149
| spl2_220 ),
inference(sat_conversion,[],[f10557]) ).
cnf(s1291,plain,
( spl2_47
| ~ spl2_85
| spl2_199
| ~ spl2_209 ),
inference(sat_conversion,[],[f10563]) ).
cnf(s1294,plain,
( ~ spl2_13
| spl2_27
| spl2_35
| spl2_60
| spl2_199 ),
inference(sat_conversion,[],[f10568]) ).
cnf(s1299,plain,
( ~ spl2_61
| ~ spl2_180
| ~ spl2_198 ),
inference(sat_conversion,[],[f10621]) ).
cnf(s1303,plain,
( ~ spl2_36
| ~ spl2_195
| spl2_234 ),
inference(sat_conversion,[],[f10665]) ).
cnf(s1307,plain,
( ~ spl2_7
| ~ spl2_51
| ~ spl2_234 ),
inference(sat_conversion,[],[f10679]) ).
cnf(s1309,plain,
( spl2_23
| ~ spl2_51
| ~ spl2_195 ),
inference(sat_conversion,[],[f10861]) ).
cnf(s1315,plain,
( ~ spl2_69
| ~ spl2_140
| ~ spl2_153 ),
inference(sat_conversion,[],[f10996]) ).
cnf(s1333,plain,
( ~ spl2_72
| ~ spl2_74 ),
inference(sat_conversion,[],[f11065]) ).
cnf(s1337,plain,
( ~ spl2_65
| ~ spl2_112
| ~ spl2_136
| spl2_140 ),
inference(sat_conversion,[],[f11073]) ).
cnf(s1343,plain,
( ~ spl2_136
| ~ spl2_199
| ~ spl2_214
| spl2_220 ),
inference(sat_conversion,[],[f11109]) ).
cnf(s1344,plain,
( spl2_31
| spl2_74
| ~ spl2_92 ),
inference(sat_conversion,[],[f11128]) ).
cnf(s1345,plain,
( spl2_14
| ~ spl2_92
| spl2_93 ),
inference(sat_conversion,[],[f11129]) ).
cnf(s1350,plain,
( spl2_110
| spl2_134
| ~ spl2_208 ),
inference(sat_conversion,[],[f11160]) ).
cnf(s1355,plain,
( spl2_47
| ~ spl2_68
| ~ spl2_209
| spl2_214 ),
inference(sat_conversion,[],[f11179]) ).
cnf(s1358,plain,
( spl2_5
| ~ spl2_10
| spl2_243 ),
inference(sat_conversion,[],[f11201]) ).
cnf(s1360,plain,
( spl2_5
| ~ spl2_10
| spl2_244 ),
inference(sat_conversion,[],[f11207]) ).
cnf(s1362,plain,
( ~ spl2_9
| spl2_14
| spl2_15 ),
inference(sat_conversion,[],[f11220]) ).
cnf(s1376,plain,
( spl2_5
| ~ spl2_10
| spl2_199 ),
inference(sat_conversion,[],[f11310]) ).
cnf(s1377,plain,
( spl2_36
| ~ spl2_69
| spl2_74 ),
inference(sat_conversion,[],[f11322]) ).
cnf(s1391,plain,
( ~ spl2_45
| ~ spl2_60
| ~ spl2_61 ),
inference(sat_conversion,[],[f11436]) ).
cnf(s1398,plain,
( spl2_176
| spl2_195
| ~ spl2_202
| ~ spl2_225 ),
inference(sat_conversion,[],[f11464]) ).
cnf(s1401,plain,
( spl2_118
| spl2_227
| spl2_228 ),
inference(sat_conversion,[],[f11484]) ).
cnf(s1402,plain,
( ~ spl2_67
| ~ spl2_75
| ~ spl2_222 ),
inference(sat_conversion,[],[f11504]) ).
cnf(s1409,plain,
( spl2_7
| ~ spl2_243 ),
inference(sat_conversion,[],[f11572]) ).
cnf(s1414,plain,
( ~ spl2_9
| ~ spl2_238 ),
inference(sat_conversion,[],[f11622]) ).
cnf(s1415,plain,
( ~ spl2_75
| ~ spl2_162
| ~ spl2_232 ),
inference(sat_conversion,[],[f11637]) ).
cnf(s1420,plain,
( spl2_51
| spl2_72
| ~ spl2_74
| ~ spl2_82 ),
inference(sat_conversion,[],[f11691]) ).
cnf(s1422,plain,
( spl2_173
| spl2_183
| spl2_185 ),
inference(sat_conversion,[],[f11695]) ).
cnf(s1431,plain,
( spl2_72
| ~ spl2_93
| ~ spl2_165
| ~ spl2_178 ),
inference(sat_conversion,[],[f11833]) ).
cnf(s1433,plain,
( ~ spl2_186
| ~ spl2_199
| ~ spl2_219
| spl2_232 ),
inference(sat_conversion,[],[f11873]) ).
cnf(s1435,plain,
( ~ spl2_14
| spl2_93
| ~ spl2_199
| ~ spl2_214 ),
inference(sat_conversion,[],[f11876]) ).
cnf(s1437,plain,
( spl2_93
| spl2_149
| ~ spl2_214 ),
inference(sat_conversion,[],[f11882]) ).
cnf(s1441,plain,
( ~ spl2_14
| ~ spl2_60
| spl2_178
| ~ spl2_228 ),
inference(sat_conversion,[],[f11887]) ).
cnf(s1443,plain,
( ~ spl2_14
| ~ spl2_112
| ~ spl2_167
| spl2_178 ),
inference(sat_conversion,[],[f11892]) ).
cnf(s1447,plain,
( spl2_85
| spl2_149
| ~ spl2_195 ),
inference(sat_conversion,[],[f11916]) ).
cnf(s1451,plain,
( spl2_106
| spl2_112
| spl2_118 ),
inference(sat_conversion,[],[f11974]) ).
cnf(s1454,plain,
( ~ spl2_61
| spl2_110
| ~ spl2_112 ),
inference(sat_conversion,[],[f11982]) ).
cnf(s1470,plain,
( ~ spl2_166
| ~ spl2_198
| ~ spl2_238 ),
inference(sat_conversion,[],[f12120]) ).
cnf(s1477,plain,
( spl2_104
| ~ spl2_110
| ~ spl2_170
| ~ spl2_202 ),
inference(sat_conversion,[],[f12167]) ).
cnf(s1478,plain,
( ~ spl2_67
| spl2_106
| spl2_136 ),
inference(sat_conversion,[],[f12169]) ).
cnf(s1479,plain,
( spl2_5
| ~ spl2_11
| spl2_75
| ~ spl2_93 ),
inference(sat_conversion,[],[f12170]) ).
cnf(s1481,plain,
( spl2_72
| ~ spl2_93
| spl2_199
| ~ spl2_224 ),
inference(sat_conversion,[],[f12172]) ).
cnf(s1483,plain,
( spl2_27
| spl2_104
| ~ spl2_131
| ~ spl2_164 ),
inference(sat_conversion,[],[f12176]) ).
cnf(s1486,plain,
( spl2_47
| ~ spl2_50
| spl2_108
| ~ spl2_110 ),
inference(sat_conversion,[],[f12179]) ).
cnf(s1488,plain,
( ~ spl2_13
| spl2_108
| spl2_114
| spl2_156
| spl2_195 ),
inference(sat_conversion,[],[f12181]) ).
cnf(s1490,plain,
( ~ spl2_13
| spl2_75
| spl2_96
| spl2_98
| spl2_199 ),
inference(sat_conversion,[],[f12184]) ).
cnf(s1496,plain,
( spl2_96
| spl2_98
| ~ spl2_244 ),
inference(sat_conversion,[],[f12225]) ).
cnf(s1500,plain,
( spl2_106
| spl2_149
| ~ spl2_208 ),
inference(sat_conversion,[],[f12242]) ).
cnf(s1501,plain,
( ~ spl2_14
| spl2_106
| ~ spl2_199
| ~ spl2_208 ),
inference(sat_conversion,[],[f12244]) ).
cnf(s1505,plain,
( ~ spl2_36
| ~ spl2_157
| spl2_238 ),
inference(sat_conversion,[],[f12296]) ).
cnf(s1508,plain,
( ~ spl2_108
| ~ spl2_167
| ~ spl2_232 ),
inference(sat_conversion,[],[f12349]) ).
cnf(s1512,plain,
( spl2_74
| spl2_134
| ~ spl2_214 ),
inference(sat_conversion,[],[f12379]) ).
cnf(s1516,plain,
( ~ spl2_75
| ~ spl2_157
| ~ spl2_234 ),
inference(sat_conversion,[],[f12413]) ).
cnf(s1525,plain,
( ~ spl2_27
| ~ spl2_75
| ~ spl2_214
| spl2_234 ),
inference(sat_conversion,[],[f12649]) ).
cnf(s1526,plain,
( ~ spl2_75
| ~ spl2_214
| spl2_220 ),
inference(sat_conversion,[],[f12650]) ).
cnf(s1527,plain,
( ~ spl2_75
| ~ spl2_186
| ~ spl2_214
| spl2_232 ),
inference(sat_conversion,[],[f12651]) ).
cnf(s1528,plain,
( ~ spl2_75
| ~ spl2_108
| ~ spl2_214
| spl2_222 ),
inference(sat_conversion,[],[f12652]) ).
cnf(s1530,plain,
( spl2_47
| ~ spl2_50
| ~ spl2_74
| spl2_75 ),
inference(sat_conversion,[],[f12654]) ).
cnf(s1533,plain,
( spl2_1
| spl2_75
| ~ spl2_171
| ~ spl2_209 ),
inference(sat_conversion,[],[f12660]) ).
cnf(s1534,plain,
( spl2_1
| ~ spl2_50
| spl2_214
| ~ spl2_221 ),
inference(sat_conversion,[],[f12661]) ).
cnf(s1536,plain,
( spl2_72
| ~ spl2_74
| spl2_195
| ~ spl2_224 ),
inference(sat_conversion,[],[f12664]) ).
cnf(s1541,plain,
( ~ spl2_51
| ~ spl2_92
| ~ spl2_238 ),
inference(sat_conversion,[],[f12712]) ).
cnf(s1547,plain,
( ~ spl2_27
| ~ spl2_186
| ~ spl2_195
| ~ spl2_228 ),
inference(sat_conversion,[],[f12777]) ).
cnf(s1549,plain,
( ~ spl2_27
| ~ spl2_108
| ~ spl2_167
| ~ spl2_186
| ~ spl2_195 ),
inference(sat_conversion,[],[f12806]) ).
cnf(s1550,plain,
( ~ spl2_74
| spl2_51
| spl2_14
| spl2_5 ),
inference(rat,[],[s1345,s368,s1190,s1420,s927,s1333,s56]) ).
cnf(s1551,plain,
( spl2_51
| ~ spl2_127
| spl2_36
| spl2_47
| spl2_81
| spl2_14
| spl2_5 ),
inference(rat,[],[s355,s1071,s1345,s369,s1066,s1377,s1550,s56]) ).
cnf(s1552,plain,
( spl2_108
| spl2_36
| ~ spl2_209
| spl2_27
| spl2_1 ),
inference(rat,[],[s628,s1087,s1483,s911,s366,s617]) ).
cnf(s1555,plain,
( ~ spl2_74
| ~ spl2_85
| ~ spl2_108
| spl2_195
| spl2_27
| spl2_81
| spl2_14
| ~ spl2_7 ),
inference(rat,[],[s1046,s1139,s1402,s946,s368,s1528,s1345,s738,s1062,s1536,s1134,s1530,s1333,s490,s227]) ).
cnf(s1557,plain,
( ~ spl2_74
| ~ spl2_108
| spl2_195
| spl2_27
| spl2_81
| spl2_14
| spl2_5
| ~ spl2_7 ),
inference(rat,[],[s1243,s1555,s1550]) ).
cnf(s1558,plain,
( spl2_72
| ~ spl2_134
| ~ spl2_214
| ~ spl2_68
| ~ spl2_157
| ~ spl2_108
| spl2_27
| spl2_81
| ~ spl2_7 ),
inference(rat,[],[s1046,s1139,s368,s1402,s946,s893,s1528,s1211,s113,s1214]) ).
cnf(s1559,plain,
( ~ spl2_134
| ~ spl2_214
| ~ spl2_7
| ~ spl2_68
| ~ spl2_157
| ~ spl2_108
| spl2_27
| spl2_81 ),
inference(rat,[],[s1402,s1528,s1046,s322,s376,s1558]) ).
cnf(s1560,plain,
( spl2_36
| spl2_195
| spl2_27
| spl2_81
| spl2_14
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1559,s1512,s1355,s1066,s1377,s590,s1557,s1552,s227,s901]) ).
cnf(s1561,plain,
( ~ spl2_173
| ~ spl2_106
| ~ spl2_214
| ~ spl2_75
| spl2_110
| spl2_104
| spl2_210
| ~ spl2_122
| spl2_195
| spl2_81
| spl2_14
| ~ spl2_7
| ~ spl2_13 ),
inference(rat,[],[s580,s1047,s1274,s1220,s1527,s645,s1114]) ).
cnf(s1562,plain,
( ~ spl2_74
| ~ spl2_156
| spl2_110
| spl2_104
| ~ spl2_36
| spl2_195
| spl2_27
| spl2_81
| spl2_118
| spl2_98
| spl2_14
| spl2_5
| ~ spl2_7
| ~ spl2_13 ),
inference(rat,[],[s1274,s1527,s1154,s1415,s1045,s1039,s1014,s907,s1561,s368,s893,s1451,s1526,s399,s1454,s738,s606,s467,s1536,s1550,s1530,s1333,s286,s872,s1125,s45,s227,s490]) ).
cnf(s1563,plain,
( spl2_173
| spl2_51
| ~ spl2_82
| spl2_72
| ~ spl2_157
| ~ spl2_122
| spl2_98 ),
inference(rat,[],[s644,s776,s598,s1039,s907,s534]) ).
cnf(s1564,plain,
( spl2_92
| ~ spl2_64
| ~ spl2_157
| ~ spl2_156
| spl2_110
| spl2_104
| spl2_210
| ~ spl2_36
| spl2_81
| spl2_98
| spl2_14
| spl2_5 ),
inference(rat,[],[s1154,s1045,s1229,s1153,s1225,s774,s645,s1563,s56,s606,s166,s1139,s1138,s368,s376,s1046,s477,s286]) ).
cnf(s1565,plain,
( spl2_108
| spl2_195
| spl2_27
| spl2_81
| spl2_118
| spl2_98
| spl2_14
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s902,s1350,s738,s1211,s1526,s893,s1564,s376,s1136,s1046,s1043,s477,s476,s590,s1562,s1488,s911,s366,s617,s7,s184,s901,s286,s872,s1125,s1560,s45,s227,s490]) ).
cnf(s1566,plain,
( ~ spl2_75
| ~ spl2_214
| ~ spl2_82
| spl2_72
| ~ spl2_108
| spl2_81
| ~ spl2_7 ),
inference(rat,[],[s1046,s1139,s1402,s946,s1528]) ).
cnf(s1567,plain,
( ~ spl2_105
| ~ spl2_110
| ~ spl2_67
| ~ spl2_214
| spl2_92
| ~ spl2_108
| spl2_47
| spl2_81
| spl2_14
| ~ spl2_199 ),
inference(rat,[],[s1343,s1478,s1286,s666,s1043,s1243,s1138,s797,s615]) ).
cnf(s1568,plain,
( ~ spl2_67
| ~ spl2_214
| spl2_92
| ~ spl2_157
| ~ spl2_108
| ~ spl2_122
| spl2_47
| spl2_81
| spl2_14
| ~ spl2_199
| spl2_5 ),
inference(rat,[],[s56,s1243,s667,s666,s166,s1567,s477]) ).
cnf(s1569,plain,
( ~ spl2_214
| spl2_92
| spl2_72
| spl2_74
| ~ spl2_108
| ~ spl2_122
| spl2_47
| spl2_81
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7 ),
inference(rat,[],[s56,s1243,s667,s666,s588,s1212,s1145,s946,s1139,s1046,s1568,s1512,s590,s368]) ).
cnf(s1570,plain,
( spl2_148
| ~ spl2_110
| ~ spl2_67
| ~ spl2_69
| spl2_92
| spl2_47
| spl2_81
| spl2_118
| spl2_14
| spl2_5 ),
inference(rat,[],[s1337,s1315,s1451,s1478,s628,s666,s1238,s1043,s1243,s1138,s797,s399,s615]) ).
cnf(s1571,plain,
( ~ spl2_110
| ~ spl2_67
| spl2_5
| ~ spl2_69
| spl2_92
| spl2_47
| spl2_81
| spl2_118
| spl2_14 ),
inference(rat,[],[s56,s1243,s667,s666,s1145,s1570]) ).
cnf(s1572,plain,
( ~ spl2_67
| ~ spl2_69
| spl2_92
| ~ spl2_157
| ~ spl2_122
| spl2_47
| spl2_81
| spl2_118
| spl2_14
| spl2_5 ),
inference(rat,[],[s1571,s477]) ).
cnf(s1573,plain,
( spl2_92
| spl2_72
| spl2_195
| spl2_27
| spl2_81
| spl2_118
| spl2_98
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1212,s1350,s588,s667,s56,s467,s612,s601,s431,s197,s1145,s946,s902,s1139,s1046,s1572,s1044,s1534,s738,s1569,s368,s490,s227,s286,s1560,s590,s1557,s1565]) ).
cnf(s1575,plain,
( ~ spl2_178
| ~ spl2_193
| ~ spl2_56
| ~ spl2_157
| ~ spl2_122
| spl2_98
| spl2_5 ),
inference(rat,[],[s1039,s598,s1128,s1225,s774]) ).
cnf(s1576,plain,
( ~ spl2_202
| ~ spl2_183
| spl2_51 ),
inference(rat,[],[s644,s776]) ).
cnf(s1577,plain,
( ~ spl2_170
| spl2_148
| ~ spl2_183 ),
inference(rat,[],[s775,s799]) ).
cnf(s1578,plain,
( spl2_110
| ~ spl2_134
| ~ spl2_198
| ~ spl2_183
| ~ spl2_108
| ~ spl2_122
| spl2_81
| ~ spl2_7 ),
inference(rat,[],[s1577,s946,s1047,s1212,s580,s588]) ).
cnf(s1579,plain,
( ~ spl2_214
| ~ spl2_198
| ~ spl2_183
| spl2_220
| spl2_51
| spl2_74
| ~ spl2_108
| ~ spl2_122
| spl2_47
| spl2_81
| spl2_14
| ~ spl2_199
| ~ spl2_7 ),
inference(rat,[],[s166,s797,s666,s615,s1578,s1235,s1343,s1512,s590]) ).
cnf(s1580,plain,
( spl2_110
| ~ spl2_224
| ~ spl2_198
| ~ spl2_183
| spl2_72
| ~ spl2_157
| ~ spl2_108
| ~ spl2_122
| spl2_81
| ~ spl2_7 ),
inference(rat,[],[s902,s1350,s1046,s1578,s477]) ).
cnf(s1581,plain,
( spl2_72
| spl2_195
| spl2_27
| spl2_81
| spl2_118
| spl2_98
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s166,s797,s667,s615,s1580,s738,s1579,s1229,s1576,s534,s645,s1575,s1062,s56,s893,s1345,s1541,s1573,s286,s872,s1125,s45,s227,s490,s1505,s590,s1557,s1565,s1560]) ).
cnf(s1582,plain,
( spl2_195
| spl2_27
| spl2_81
| spl2_118
| spl2_98
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1066,s1355,s1572,s1568,s1046,s1345,s376,s1071,s1581,s590,s1557,s1565,s286,s1560,s901,s227]) ).
cnf(s1583,plain,
( spl2_27
| spl2_23
| spl2_21
| spl2_118
| spl2_98
| spl2_35
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s667,s1145,s708,s1139,s902,s322,s1046,s738,s1516,s1572,s703,s1303,s286,s1377,s1068,s369,s368,s590,s1344,s1550,s56,s1309,s1231,s1582,s227,s101]) ).
cnf(s1584,plain,
( ~ spl2_74
| spl2_195
| ~ spl2_27
| spl2_14
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1525,s738,s1307,s1533,s1536,s1550,s927,s1333,s901]) ).
cnf(s1585,plain,
( ~ spl2_75
| ~ spl2_214
| ~ spl2_157
| ~ spl2_27 ),
inference(rat,[],[s1516,s1525]) ).
cnf(s1586,plain,
( spl2_108
| ~ spl2_122
| spl2_75
| spl2_74
| spl2_195
| spl2_114
| spl2_81
| ~ spl2_13 ),
inference(rat,[],[s1043,s476,s1135,s1488,s322,s113]) ).
cnf(s1587,plain,
( ~ spl2_47
| ~ spl2_214
| ~ spl2_157
| ~ spl2_27
| spl2_35
| ~ spl2_199 ),
inference(rat,[],[s1343,s972,s1235,s1068,s225,s226]) ).
cnf(s1588,plain,
( ~ spl2_36
| spl2_47
| spl2_75
| ~ spl2_214
| spl2_74
| spl2_195
| spl2_81
| spl2_98
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| ~ spl2_13 ),
inference(rat,[],[s1229,s1579,s1576,s534,s645,s1575,s872,s1062,s47,s56,s893,s1345,s1541,s1569,s1586,s1505,s286,s1125,s184,s590,s322]) ).
cnf(s1589,plain,
( spl2_92
| ~ spl2_221
| ~ spl2_68
| spl2_47
| spl2_14
| spl2_5 ),
inference(rat,[],[s1243,s56,s841,s369]) ).
cnf(s1590,plain,
( ~ spl2_214
| spl2_74
| spl2_195
| ~ spl2_27
| spl2_98
| spl2_35
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| ~ spl2_13 ),
inference(rat,[],[s1235,s293,s1343,s355,s893,s1345,s1589,s1044,s1066,s1377,s1588,s1587,s322,s1585,s101,s590]) ).
cnf(s1591,plain,
( spl2_108
| spl2_92
| ~ spl2_36
| spl2_74
| spl2_195
| spl2_81
| spl2_98
| spl2_14
| spl2_5
| spl2_1 ),
inference(rat,[],[s47,s48,s872,s606,s1564,s1139,s376,s1043,s1046,s476,s477,s1488,s911,s617,s7,s184,s901,s590,s1125,s286,s368]) ).
cnf(s1592,plain,
( ~ spl2_66
| ~ spl2_108
| ~ spl2_82
| ~ spl2_36
| ~ spl2_224
| ~ spl2_157
| spl2_98
| spl2_14
| spl2_5
| ~ spl2_7 ),
inference(rat,[],[s1212,s1350,s588,s667,s56,s467,s612,s601,s431,s197,s1145,s946,s902,s1139,s376]) ).
cnf(s1593,plain,
( spl2_47
| ~ spl2_67
| spl2_92
| ~ spl2_122
| spl2_214
| ~ spl2_157
| ~ spl2_209
| spl2_118
| spl2_35
| spl2_14
| spl2_5 ),
inference(rat,[],[s1068,s1572,s1355,s101]) ).
cnf(s1594,plain,
( spl2_92
| ~ spl2_36
| spl2_214
| spl2_74
| spl2_195
| spl2_118
| spl2_98
| spl2_35
| spl2_14
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s166,s667,s797,s56,s1243,s225,s1593,s615,s477,s1046,s1592,s1591,s368,s101,s901,s590,s738,s286]) ).
cnf(s1595,plain,
( spl2_108
| spl2_72
| spl2_220
| ~ spl2_122
| ~ spl2_224
| spl2_74
| spl2_195
| spl2_114
| spl2_81
| spl2_1 ),
inference(rat,[],[s902,s1350,s1046,s1211,s477,s1586,s911,s7,s901,s590]) ).
cnf(s1596,plain,
( ~ spl2_36
| spl2_214
| spl2_74
| spl2_195
| spl2_118
| spl2_98
| spl2_35
| spl2_14
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s166,s667,s797,s615,s1580,s1595,s638,s1576,s534,s645,s1575,s1062,s1071,s56,s893,s1345,s1541,s1594,s1505,s286,s101,s184,s590,s738]) ).
cnf(s1597,plain,
( ~ spl2_68
| ~ spl2_209
| spl2_214 ),
inference(rat,[],[s226,s1355]) ).
cnf(s1598,plain,
( spl2_195
| ~ spl2_27
| spl2_118
| spl2_98
| spl2_35
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1597,s1066,s1377,s1596,s1590,s1584,s901,s7,s101]) ).
cnf(s1600,plain,
( ~ spl2_173
| ~ spl2_56
| spl2_31
| spl2_14
| spl2_5 ),
inference(rat,[],[s1225,s1155,s645]) ).
cnf(s1601,plain,
( ~ spl2_36
| spl2_173
| ~ spl2_82
| ~ spl2_157
| spl2_51
| ~ spl2_195
| spl2_98 ),
inference(rat,[],[s322,s1516,s1563,s1303,s286]) ).
cnf(s1602,plain,
( spl2_23
| spl2_21
| spl2_118
| spl2_98
| spl2_35
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s369,s226,s1066,s1377,s1601,s1600,s368,s1344,s590,s1550,s56,s1309,s1231,s1598,s1583,s101]) ).
cnf(s1603,plain,
( spl2_108
| spl2_36
| spl2_27
| spl2_47 ),
inference(rat,[],[s628,s1087,s1483,s1486,s366,s617,s490]) ).
cnf(s1605,plain,
( ~ spl2_110
| ~ spl2_74
| spl2_81
| spl2_118
| spl2_14
| spl2_5 ),
inference(rat,[],[s1046,s1571,s711,s615,s927,s1044,s841,s1345,s1062,s1134,s225,s1243,s1550]) ).
cnf(s1606,plain,
( ~ spl2_195
| spl2_110
| ~ spl2_85
| spl2_234
| spl2_21
| spl2_98
| ~ spl2_199
| spl2_5 ),
inference(rat,[],[s1238,s1041,s1146,s1087,s1303,s1231]) ).
cnf(s1607,plain,
( ~ spl2_74
| spl2_21
| spl2_81
| spl2_118
| spl2_98
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1584,s1582,s1606,s1605,s1243,s1307,s1550]) ).
cnf(s1608,plain,
( ~ spl2_36
| ~ spl2_82
| spl2_31
| spl2_61
| ~ spl2_195
| ~ spl2_157
| spl2_98
| spl2_14
| spl2_5 ),
inference(rat,[],[s1600,s1601,s56,s467]) ).
cnf(s1609,plain,
( spl2_27
| spl2_21
| spl2_81
| spl2_118
| spl2_98
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1589,s1044,s1066,s1377,s1608,s368,s1344,s1231,s611,s1582,s227,s590,s1607]) ).
cnf(s1610,plain,
( spl2_21
| spl2_118
| spl2_98
| spl2_35
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s369,s226,s1066,s1377,s1608,s368,s56,s1344,s205,s1231,s611,s1598,s1609,s590,s1607,s1602,s101]) ).
cnf(s1611,plain,
( ~ spl2_74
| spl2_27
| ~ spl2_21
| spl2_14
| spl2_5 ),
inference(rat,[],[s1062,s1134,s380,s1243,s1530,s1550,s490,s227]) ).
cnf(s1612,plain,
( spl2_92
| ~ spl2_69
| ~ spl2_224
| ~ spl2_36
| ~ spl2_157
| ~ spl2_195
| spl2_47
| ~ spl2_50
| spl2_81
| spl2_118
| spl2_98
| spl2_14
| spl2_5
| ~ spl2_7 ),
inference(rat,[],[s1486,s708,s1592,s902,s1046,s1572,s368,s286,s322,s1516,s1303]) ).
cnf(s1613,plain,
( ~ spl2_36
| spl2_74
| spl2_61
| ~ spl2_195
| spl2_47
| ~ spl2_50
| ~ spl2_21
| spl2_81
| spl2_118
| spl2_98
| spl2_14
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1470,s638,s1038,s1576,s964,s534,s1088,s645,s721,s1575,s1062,s1345,s1612,s1044,s113,s322,s1534,s738,s56,s1516,s703,s467,s1505,s1303,s286,s590]) ).
cnf(s1614,plain,
( spl2_27
| ~ spl2_21
| spl2_81
| spl2_118
| spl2_98
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1559,s1512,s1534,s1044,s1066,s1603,s1377,s1613,s590,s1611,s611,s1582,s227,s490]) ).
cnf(s1615,plain,
( ~ spl2_51
| spl2_61
| ~ spl2_195
| ~ spl2_27 ),
inference(rat,[],[s205,s1309]) ).
cnf(s1616,plain,
( spl2_202
| ~ spl2_73
| spl2_72
| ~ spl2_90
| ~ spl2_122
| spl2_74
| spl2_98 ),
inference(rat,[],[s1038,s964,s585,s789,s638]) ).
cnf(s1617,plain,
( spl2_19
| spl2_14
| spl2_10
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1422,s645,s1576,s1225,s1616,s113,s322,s1516,s673,s1303,s286,s590,s1551,s1550,s56,s1615,s611,s225,s293,s1598,s381,s1614,s1610,s101,s195,s555,s152,s1004]) ).
cnf(s1618,plain,
( ~ spl2_74
| spl2_98
| spl2_27
| ~ spl2_19
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1315,s628,s1337,s1238,s1044,s1478,s189,s1145,s1046,s1043,s841,s666,s711,s769,s615,s1345,s1606,s1062,s1560,s1134,s467,s1243,s1269,s1307,s1550,s927,s1333,s156,s227,s101,s36]) ).
cnf(s1619,plain,
( ~ spl2_51
| ~ spl2_36
| ~ spl2_19 ),
inference(rat,[],[s467,s1269]) ).
cnf(s1620,plain,
( ~ spl2_110
| spl2_51
| spl2_14
| spl2_5 ),
inference(rat,[],[s166,s667,s797,s615,s56]) ).
cnf(s1621,plain,
( ~ spl2_36
| spl2_74
| spl2_98
| spl2_35
| spl2_44
| ~ spl2_19
| spl2_14
| spl2_5 ),
inference(rat,[],[s1154,s638,s1045,s1576,s1014,s534,s645,s166,s1575,s431,s1062,s1345,s1564,s223,s1043,s1046,s476,s477,s588,s1620,s56,s1619,s872,s286,s1125,s101,s590]) ).
cnf(s1622,plain,
( spl2_98
| spl2_27
| ~ spl2_19
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1589,s1344,s1044,s1066,s1231,s1377,s1560,s1621,s1618,s156,s45,s227,s490,s101,s36]) ).
cnf(s1623,plain,
( spl2_27
| ~ spl2_19
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s56,s1243,s1236,s1238,s1146,s628,s1231,s1087,s1560,s1126,s588,s1026,s807,s1622,s101,s36,s45,s227,s490,s156]) ).
cnf(s1624,plain,
( spl2_98
| spl2_35
| spl2_74
| spl2_195
| ~ spl2_27
| ~ spl2_19
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| ~ spl2_13 ),
inference(rat,[],[s47,s48,s1621,s1619,s1377,s1068,s1597,s1590,s901]) ).
cnf(s1625,plain,
( ~ spl2_98
| ~ spl2_157
| ~ spl2_19
| spl2_14 ),
inference(rat,[],[s628,s1087,s688,s666,s197,s225,s293,s809,s1619,s1243,s806]) ).
cnf(s1626,plain,
( spl2_195
| ~ spl2_19
| spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1624,s993,s1625,s590,s1584,s7,s1623]) ).
cnf(s1627,plain,
( spl2_14
| spl2_10
| spl2_1
| ~ spl2_199
| spl2_5
| ~ spl2_7 ),
inference(rat,[],[s369,s226,s1066,s1377,s1601,s368,s101,s1344,s590,s804,s1600,s441,s1550,s56,s1615,s1231,s611,s1626,s1623,s156,s1617]) ).
cnf(s1628,plain,
( spl2_186
| ~ spl2_122
| spl2_210
| spl2_110
| ~ spl2_131
| spl2_104
| spl2_195
| spl2_81
| ~ spl2_13 ),
inference(rat,[],[s1047,s580,s1161,s1274]) ).
cnf(s1629,plain,
( ~ spl2_74
| spl2_195
| spl2_27
| spl2_81
| spl2_98
| ~ spl2_21
| ~ spl2_14
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1039,s907,s1415,s1114,s1527,s1628,s286,s872,s1552,s1486,s366,s617,s1391,s1566,s306,s368,s106,s893,s1134,s1526,s1062,s738,s380,s1536,s1530,s1333,s7,s45,s227,s490,s901]) ).
cnf(s1630,plain,
( spl2_110
| spl2_72
| ~ spl2_82
| ~ spl2_51
| ~ spl2_122
| ~ spl2_157
| spl2_81 ),
inference(rat,[],[s1046,s1139,s477,s606]) ).
cnf(s1631,plain,
( ~ spl2_198
| ~ spl2_61
| ~ spl2_122
| spl2_74
| spl2_98 ),
inference(rat,[],[s1431,s1038,s721,s585,s1299,s1071,s601,s612,s590]) ).
cnf(s1632,plain,
( ~ spl2_51
| ~ spl2_36
| spl2_74
| spl2_195
| spl2_27
| spl2_81
| spl2_98
| ~ spl2_199
| ~ spl2_13 ),
inference(rat,[],[s1433,s1508,s719,s1045,s1398,s880,s776,s1274,s1229,s1631,s1486,s1630,s1071,s601,s368,s612,s1541,s467,s286,s1505,s590,s872,s1125,s45,s227,s490]) ).
cnf(s1633,plain,
( ~ spl2_61
| spl2_104
| ~ spl2_66
| spl2_110
| ~ spl2_157
| spl2_118
| spl2_98 ),
inference(rat,[],[s431,s1451,s601,s1454,s612]) ).
cnf(s1636,plain,
( ~ spl2_110
| ~ spl2_56
| spl2_27
| ~ spl2_21
| spl2_5 ),
inference(rat,[],[s348,s667,s1486,s490,s227]) ).
cnf(s1637,plain,
( ~ spl2_178
| ~ spl2_106
| ~ spl2_156
| ~ spl2_56
| ~ spl2_36
| spl2_81
| spl2_5 ),
inference(rat,[],[s1154,s1045,s638,s1153,s1225,s774]) ).
cnf(s1638,plain,
( spl2_93
| spl2_72
| ~ spl2_156
| ~ spl2_56
| ~ spl2_36
| spl2_74
| spl2_195
| spl2_81
| spl2_98
| ~ spl2_21
| ~ spl2_14
| spl2_5
| ~ spl2_13 ),
inference(rat,[],[s1038,s964,s652,s1088,s721,s1637,s348,s1586,s113,s359,s380,s601,s184,s286]) ).
cnf(s1639,plain,
( ~ spl2_36
| spl2_74
| spl2_195
| spl2_27
| spl2_98
| spl2_35
| ~ spl2_14
| ~ spl2_199
| spl2_5
| ~ spl2_13 ),
inference(rat,[],[s1628,s1088,s366,s721,s348,s1575,s431,s1062,s1638,s376,s223,s1046,s476,s477,s588,s1636,s56,s1632,s872,s286,s1125,s743,s101,s45,s227,s490,s590]) ).
cnf(s1640,plain,
( spl2_195
| spl2_27
| spl2_10
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1559,s1512,s1597,s1066,s1377,s1603,s1639,s590,s1629,s901,s7,s152,s101,s1004,s156,s743,s1627,s227]) ).
cnf(s1641,plain,
( ~ spl2_74
| ~ spl2_85
| spl2_47
| ~ spl2_50
| ~ spl2_21 ),
inference(rat,[],[s1062,s380,s1134,s1530]) ).
cnf(s1642,plain,
( ~ spl2_36
| spl2_74
| spl2_61
| ~ spl2_195
| spl2_27
| spl2_81
| ~ spl2_21
| spl2_5 ),
inference(rat,[],[s902,s1046,s708,s477,s1636,s322,s738,s56,s1516,s703,s467,s1303,s286,s590]) ).
cnf(s1643,plain,
( spl2_27
| spl2_10
| ~ spl2_199
| spl2_5
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1087,s628,s666,s688,s197,s348,s1603,s1642,s1641,s106,s1156,s306,s611,s1640,s227,s490,s101,s1004,s156,s743,s1627]) ).
cnf(s1644,plain,
( ~ spl2_180
| ~ spl2_73
| ~ spl2_95
| spl2_72
| spl2_98
| ~ spl2_21 ),
inference(rat,[],[s1038,s964,s652,s1088]) ).
cnf(s1645,plain,
( spl2_110
| ~ spl2_177
| ~ spl2_90
| ~ spl2_36
| ~ spl2_198
| spl2_176
| spl2_81 ),
inference(rat,[],[s1045,s883,s1154,s668,s588]) ).
cnf(s1646,plain,
( ~ spl2_110
| ~ spl2_56
| ~ spl2_95
| ~ spl2_74
| spl2_81
| spl2_118
| spl2_5 ),
inference(rat,[],[s654,s1451,s1043,s667,s769,s1333]) ).
cnf(s1647,plain,
( ~ spl2_36
| spl2_110
| spl2_176
| spl2_202
| ~ spl2_195
| spl2_81 ),
inference(rat,[],[s790,s1645,s789,s673,s638]) ).
cnf(s1648,plain,
( spl2_108
| ~ spl2_164
| ~ spl2_73
| ~ spl2_95
| spl2_72
| ~ spl2_127
| spl2_81
| spl2_118 ),
inference(rat,[],[s654,s1451,s1043,s688,s1135,s617]) ).
cnf(s1649,plain,
( ~ spl2_74
| ~ spl2_27
| spl2_81
| spl2_118
| spl2_98
| spl2_185
| ~ spl2_14
| ~ spl2_199
| spl2_5 ),
inference(rat,[],[s688,s197,s348,s1648,s1041,s1087,s1647,s1646,s774,s960,s721,s1644,s56,s1615,s611,s1536,s113,s738,s380,s1435,s359,s1062,s1017,s1134,s1333,s293,s111,s225,s381,s743]) ).
cnf(s1650,plain,
( spl2_110
| spl2_195
| ~ spl2_36
| spl2_74
| spl2_47
| spl2_118
| spl2_98
| spl2_35
| ~ spl2_21
| ~ spl2_14
| spl2_5
| ~ spl2_13 ),
inference(rat,[],[s1628,s1088,s366,s721,s348,s1575,s431,s1062,s1638,s872,s56,s43,s467,s305,s1633,s376,s223,s1046,s476,s477,s588,s101,s590,s1125,s286]) ).
cnf(s1651,plain,
( spl2_195
| ~ spl2_36
| spl2_74
| ~ spl2_85
| spl2_118
| spl2_98
| spl2_35
| ~ spl2_21
| ~ spl2_14
| spl2_5
| spl2_1 ),
inference(rat,[],[s348,s666,s911,s1650,s901,s7,s225]) ).
cnf(s1652,plain,
( ~ spl2_36
| ~ spl2_27
| spl2_118
| spl2_98
| spl2_35
| spl2_185
| ~ spl2_14
| ~ spl2_199
| spl2_5
| spl2_1 ),
inference(rat,[],[s1443,s1045,s1451,s880,s666,s588,s751,s1470,s1038,s964,s1088,s960,s1225,s776,s1616,s113,s322,s56,s659,s1516,s1615,s703,s673,s1303,s611,s1651,s1505,s286,s7,s111,s225,s381,s743,s590,s1649,s101]) ).
cnf(s1653,plain,
( ~ spl2_214
| ~ spl2_68
| ~ spl2_157
| ~ spl2_27
| ~ spl2_14
| ~ spl2_199 ),
inference(rat,[],[s355,s322,s1435,s1585,s293,s381,s743]) ).
cnf(s1654,plain,
( ~ spl2_106
| ~ spl2_164
| ~ spl2_127 ),
inference(rat,[],[s688,s197]) ).
cnf(s1655,plain,
( ~ spl2_93
| ~ spl2_68
| ~ spl2_127 ),
inference(rat,[],[s355,s1071]) ).
cnf(s1656,plain,
( ~ spl2_164
| ~ spl2_73
| spl2_72
| ~ spl2_95
| ~ spl2_127
| spl2_81
| spl2_118
| ~ spl2_21 ),
inference(rat,[],[s348,s1648,s1654]) ).
cnf(s1657,plain,
( spl2_10
| ~ spl2_199
| spl2_1
| ~ spl2_7
| spl2_5 ),
inference(rat,[],[s657,s1046,s726,s902,s1451,s1501,s666,s1087,s628,s1656,s113,s322,s359,s380,s601,s1655,s738,s1653,s1066,s1377,s1652,s590,s1649,s225,s293,s381,s1643,s101,s195,s152,s1004,s554,s156,s743,s1627]) ).
cnf(s1659,plain,
( spl2_27
| ~ spl2_74
| ~ spl2_14
| spl2_220
| ~ spl2_199 ),
inference(rat,[],[s1536,s611,s738,s306,s1526,s106,s1530,s1641,s227,s490,s743,s1333]) ).
cnf(s1660,plain,
( ~ spl2_85
| ~ spl2_10
| spl2_5 ),
inference(rat,[],[s867,s293]) ).
cnf(s1661,plain,
( ~ spl2_199
| spl2_5
| spl2_1
| ~ spl2_7 ),
inference(rat,[],[s1496,s612,s1026,s590,s1391,s1659,s45,s227,s490,s306,s381,s106,s1660,s743,s1362,s894,s4,s260,s1360,s1657]) ).
cnf(s1664,plain,
( ~ spl2_74
| ~ spl2_14
| ~ spl2_199
| spl2_220
| ~ spl2_51 ),
inference(rat,[],[s1615,s611,s1536,s738,s1435,s1062,s1134,s225,s381,s1659,s1333,s743]) ).
cnf(s1665,plain,
( spl2_27
| spl2_74
| spl2_36
| spl2_81
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s1559,s1512,s1534,s1603,s490,s590,s1044,s226,s1066,s1377]) ).
cnf(s1668,plain,
( spl2_27
| spl2_98
| ~ spl2_74
| spl2_199
| spl2_220
| spl2_1 ),
inference(rat,[],[s1288,s601,s1447,s1481,s1536,s738,s1526,s293,s1530,s407,s227,s490,s586,s1333]) ).
cnf(s1670,plain,
( spl2_195
| ~ spl2_74
| spl2_220
| spl2_1 ),
inference(rat,[],[s1526,s738,s1533,s1536,s901,s1333,s927]) ).
cnf(s1671,plain,
( ~ spl2_214
| ~ spl2_195
| ~ spl2_27
| spl2_98
| spl2_199
| ~ spl2_99
| spl2_234
| spl2_220
| ~ spl2_13 ),
inference(rat,[],[s1490,s730,s1525]) ).
cnf(s1676,plain,
( spl2_27
| spl2_36
| spl2_74
| ~ spl2_7
| spl2_1 ),
inference(rat,[],[s101,s1665,s36]) ).
cnf(s1677,plain,
( ~ spl2_209
| ~ spl2_68
| ~ spl2_27
| spl2_199
| spl2_234
| spl2_1 ),
inference(rat,[],[s1437,s566,s1191,s1525,s106,s1597,s1291,s586,s226]) ).
cnf(s1678,plain,
( ~ spl2_195
| ~ spl2_27
| ~ spl2_157
| spl2_199
| spl2_234
| spl2_220
| ~ spl2_5
| ~ spl2_13 ),
inference(rat,[],[s738,s1067,s1071,s1671,s601,s1033,s612,s1269,s1615,s161,s56,s262]) ).
cnf(s1680,plain,
( ~ spl2_15
| ~ spl2_74 ),
inference(rat,[],[s91,s49]) ).
cnf(s1681,plain,
( spl2_110
| ~ spl2_127
| ~ spl2_61
| spl2_36
| spl2_98 ),
inference(rat,[],[s688,s197,s1041,s189,s1087,s1454]) ).
cnf(s1682,plain,
( ~ spl2_85
| spl2_47
| ~ spl2_95
| ~ spl2_61
| spl2_36
| spl2_98
| ~ spl2_74
| spl2_81 ),
inference(rat,[],[s654,s189,s1043,s666,s769,s1681,s293,s1333]) ).
cnf(s1683,plain,
( spl2_85
| ~ spl2_27
| ~ spl2_195
| spl2_234 ),
inference(rat,[],[s1191,s1447,s106]) ).
cnf(s1685,plain,
( ~ spl2_214
| ~ spl2_199
| ~ spl2_68
| ~ spl2_27
| ~ spl2_157
| spl2_234
| ~ spl2_9 ),
inference(rat,[],[s70,s1362,s322,s1653,s1525]) ).
cnf(s1686,plain,
( ~ spl2_199
| ~ spl2_68
| ~ spl2_27
| ~ spl2_157
| spl2_234
| ~ spl2_51
| ~ spl2_9 ),
inference(rat,[],[s611,s1615,s901,s1597,s1685]) ).
cnf(s1688,plain,
( ~ spl2_7
| ~ spl2_199
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s1664,s1362,s894,s56,s8,s262,s1661,s1680]) ).
cnf(s1689,plain,
( ~ spl2_106
| ~ spl2_93
| ~ spl2_220
| spl2_81
| spl2_7
| spl2_72 ),
inference(rat,[],[s1043,s1286,s1162,s364,s291,s289]) ).
cnf(s1690,plain,
( spl2_27
| spl2_7
| ~ spl2_199
| ~ spl2_74
| ~ spl2_13 ),
inference(rat,[],[s1488,s1094,s348,s1451,s1689,s195,s380,s1269,s611,s743,s1664,s306,s1243,s106,s184,s320,s1025,s56,s439,s101,s444,s1530,s227,s490,s1333,s289,s1358,s1409,s291]) ).
cnf(s1691,plain,
( spl2_14
| ~ spl2_221
| ~ spl2_68
| ~ spl2_51
| spl2_5 ),
inference(rat,[],[s1655,s1345,s293,s1589,s1243,s226]) ).
cnf(s1692,plain,
( spl2_195
| ~ spl2_51
| ~ spl2_199
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s293,s355,s381,s1435,s743,s1691,s1044,s1068,s738,s972,s1536,s1670,s1333,s291,s101,s992,s1690,s7,s1688]) ).
cnf(s1693,plain,
( ~ spl2_51
| ~ spl2_199
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s611,s1615,s1692,s1690,s1688,s7]) ).
cnf(s1694,plain,
( ~ spl2_199
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s1649,s195,s555,s811,s796,s332,s368,s1190,s1420,s1550,s56,s1693,s101,s992,s1690,s1358,s291,s1409,s1688,s7,s1333,s927]) ).
cnf(s1695,plain,
( spl2_195
| spl2_118
| ~ spl2_82
| ~ spl2_7
| spl2_114
| ~ spl2_61
| spl2_27
| spl2_199
| ~ spl2_74
| ~ spl2_13 ),
inference(rat,[],[s1094,s1199,s1488,s1566,s738,s1536,s1333,s101,s444,s87,s227,s490]) ).
cnf(s1696,plain,
( spl2_214
| ~ spl2_14
| spl2_27
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s359,s653,s332,s1044,s1481,s1534,s738,s1333,s106,s293,s407,s586,s1694,s101,s444,s87,s227,s490]) ).
cnf(s1697,plain,
( ~ spl2_7
| ~ spl2_214
| ~ spl2_220
| spl2_114
| ~ spl2_61
| ~ spl2_51
| spl2_27
| spl2_199
| ~ spl2_74
| ~ spl2_13 ),
inference(rat,[],[s1303,s1603,s1695,s1566,s195,s368,s4,s8,s893,s894,s1307,s1333,s101,s444,s87,s227,s490,s1269]) ).
cnf(s1698,plain,
( spl2_108
| spl2_195
| spl2_118
| spl2_114
| ~ spl2_61
| spl2_199
| ~ spl2_13 ),
inference(rat,[],[s1094,s1199,s1488]) ).
cnf(s1699,plain,
( ~ spl2_178
| ~ spl2_106
| spl2_104
| ~ spl2_222
| spl2_7
| spl2_81 ),
inference(rat,[],[s1047,s725,s1220,s892,s291,s289]) ).
cnf(s1700,plain,
( ~ spl2_108
| spl2_118
| spl2_7
| ~ spl2_214
| ~ spl2_220
| spl2_210
| spl2_98
| ~ spl2_61
| ~ spl2_14
| ~ spl2_60
| spl2_35
| ~ spl2_75
| ~ spl2_74 ),
inference(rat,[],[s864,s776,s1038,s1229,s1401,s652,s1299,s1441,s721,s1699,s1044,s653,s359,s332,s431,s1451,s1454,s1046,s769,s1402,s223,s1043,s1528,s1286,s1333,s101]) ).
cnf(s1701,plain,
( ~ spl2_51
| spl2_27
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s1454,s1199,s1486,s1700,s192,s879,s1697,s1696,s1668,s184,s872,s1026,s1391,s1269,s61,s1243,s60,s7,s45,s444,s87,s227,s490,s106,s293,s407,s586,s1694]) ).
cnf(s1702,plain,
( spl2_27
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s1288,s893,s1447,s332,s368,s439,s1056,s1190,s262,s1420,s56,s1701,s293,s87,s407,s227,s490,s1333,s927,s586,s1694]) ).
cnf(s1703,plain,
( ~ spl2_85
| spl2_10
| spl2_5
| spl2_92
| spl2_69 ),
inference(rat,[],[s682,s1068,s841,s215]) ).
cnf(s1704,plain,
( ~ spl2_220
| spl2_234
| ~ spl2_7
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s1677,s901,s1068,s1683,s1007,s1703,s4,s8,s893,s894,s972,s1694,s1702]) ).
cnf(s1705,plain,
( ~ spl2_7
| ~ spl2_51
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s195,s1605,s4,s8,s1362,s359,s1681,s1682,s811,s332,s1062,s1134,s225,s293,s1269,s101,s1303,s1683,s1615,s1011,s1670,s1704,s1307,s1680,s1694,s1702]) ).
cnf(s1706,plain,
( spl2_195
| ~ spl2_220
| ~ spl2_51
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s769,s1043,s668,s1286,s1698,s192,s1269,s61,s184,s106,s1218,s1025,s1291,s1677,s1056,s901,s7,s1333,s60,s291,s879,s586,s1694,s101,s226,s1068,s972,s992,s1705,s1702]) ).
cnf(s1707,plain,
( spl2_110
| ~ spl2_90
| spl2_118
| ~ spl2_61
| spl2_199
| ~ spl2_13 ),
inference(rat,[],[s1199,s668,s1454]) ).
cnf(s1708,plain,
( ~ spl2_85
| spl2_118
| spl2_98
| ~ spl2_61
| ~ spl2_195
| spl2_47
| spl2_69
| spl2_81
| spl2_10
| spl2_5
| ~ spl2_59
| spl2_199
| ~ spl2_74
| ~ spl2_13 ),
inference(rat,[],[s654,s189,s1043,s666,s769,s1707,s673,s1682,s124,s1017,s1703,s111,s1333]) ).
cnf(s1709,plain,
( ~ spl2_178
| ~ spl2_93
| spl2_98
| ~ spl2_220
| spl2_7
| spl2_72 ),
inference(rat,[],[s1038,s891,s1431,s892,s291,s289]) ).
cnf(s1710,plain,
( ~ spl2_220
| ~ spl2_51
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s1477,s1047,s1229,s658,s1299,s721,s1709,s872,s601,s43,s657,s1171,s726,s1199,s1286,s1046,s1043,s711,s769,s615,s1707,s1218,s1391,s1683,s106,s1708,s184,s192,s808,s1269,s1615,s1706,s1691,s226,s1044,s1068,s972,s7,s1333,s927,s60,s289,s3,s879,s586,s1694,s1358,s1409,s291,s101,s992,s1705,s1702]) ).
cnf(s1711,plain,
( spl2_110
| ~ spl2_127
| spl2_118
| spl2_98
| ~ spl2_61
| ~ spl2_195
| spl2_199
| ~ spl2_13 ),
inference(rat,[],[s673,s1707,s1681]) ).
cnf(s1712,plain,
( ~ spl2_85
| spl2_118
| spl2_98
| ~ spl2_61
| ~ spl2_195
| spl2_81
| spl2_5
| spl2_199
| ~ spl2_74
| ~ spl2_13 ),
inference(rat,[],[s654,s359,s189,s1043,s1605,s666,s769,s1711,s1017,s111,s225,s293,s1333]) ).
cnf(s1713,plain,
( ~ spl2_178
| ~ spl2_108
| ~ spl2_106
| ~ spl2_195
| spl2_81
| ~ spl2_11
| spl2_5
| ~ spl2_27 ),
inference(rat,[],[s1045,s1549,s1153,s892,s774]) ).
cnf(s1714,plain,
( ~ spl2_95
| ~ spl2_65
| ~ spl2_14
| ~ spl2_60
| spl2_118
| spl2_98
| ~ spl2_61
| ~ spl2_195
| spl2_81
| ~ spl2_11
| spl2_5
| ~ spl2_27
| spl2_199
| ~ spl2_13 ),
inference(rat,[],[s864,s776,s1038,s1228,s1401,s652,s1299,s1441,s721,s1713,s1199,s1451,s1044,s654,s653]) ).
cnf(s1715,plain,
( ~ spl2_51
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s738,s1526,s1067,s1490,s601,s359,s1714,s1043,s769,s1707,s1218,s1243,s1683,s106,s1712,s192,s808,s1269,s1615,s1670,s1710,s101,s992,s879,s3,s289,s291,s1705,s7,s1333,s586,s1694,s1702]) ).
cnf(s1716,plain,
( spl2_112
| ~ spl2_127
| spl2_110
| spl2_118
| ~ spl2_195
| spl2_199
| ~ spl2_13 ),
inference(rat,[],[s1087,s673,s628,s668,s688,s197,s1199,s1451]) ).
cnf(s1717,plain,
( spl2_108
| ~ spl2_112
| spl2_220
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s902,s1500,s738,s1288,s1526,s1136,s1196,s366,s1333,s223,s654,s359,s1046,s657,s726,s1550,s332,s1190,s927,s101,s1011,s1056,s586,s262,s56,s1715,s1694]) ).
cnf(s1718,plain,
( ~ spl2_85
| ~ spl2_7
| ~ spl2_74
| spl2_1 ),
inference(rat,[],[s738,s902,s1437,s1350,s1287,s1212,s946,s1238,s1041,s1087,s673,s668,s1717,s1046,s657,s726,s1716,s293,s7,s811,s588,s1646,s359,s332,s101,s1011,s1056,s586,s195,s796,s1550,s1190,s927,s1376,s1694,s262,s56,s893,s368,s1420,s1715,s1333]) ).
cnf(s1719,plain,
( spl2_85
| spl2_110
| spl2_118
| ~ spl2_14
| ~ spl2_195
| ~ spl2_27
| spl2_199
| ~ spl2_13 ),
inference(rat,[],[s1707,s1218,s306,s1683,s106]) ).
cnf(s1720,plain,
( ~ spl2_178
| ~ spl2_36
| spl2_110
| spl2_81
| ~ spl2_195
| ~ spl2_56 ),
inference(rat,[],[s1647,s1225,s774,s262]) ).
cnf(s1721,plain,
( spl2_69
| ~ spl2_66
| spl2_104
| ~ spl2_109
| spl2_110
| spl2_118
| ~ spl2_95
| spl2_98
| spl2_35
| ~ spl2_195
| ~ spl2_56
| ~ spl2_27
| spl2_72 ),
inference(rat,[],[s1401,s1547,s864,s1161,s775,s1047,s1038,s658,s652,s721,s1720,s366,s668,s673,s1087,s628,s770,s1044,s1068,s101]) ).
cnf(s1722,plain,
( ~ spl2_178
| ~ spl2_222
| ~ spl2_164
| spl2_36
| ~ spl2_11
| spl2_118
| spl2_81
| ~ spl2_56 ),
inference(rat,[],[s771,s1047,s1401,s725,s1108,s892,s1225,s774,s262]) ).
cnf(s1723,plain,
( ~ spl2_214
| ~ spl2_164
| spl2_36
| spl2_234
| ~ spl2_108
| ~ spl2_109
| ~ spl2_11
| ~ spl2_112
| spl2_118
| spl2_81
| ~ spl2_95
| spl2_98
| ~ spl2_195
| spl2_93
| ~ spl2_56
| ~ spl2_27
| spl2_72 ),
inference(rat,[],[s1401,s1547,s771,s775,s964,s1047,s1038,s658,s652,s721,s1722,s913,s113,s1437,s1525]) ).
cnf(s1724,plain,
( ~ spl2_74
| spl2_1 ),
inference(rat,[],[s1401,s1547,s771,s775,s964,s1047,s1038,s658,s652,s721,s113,s1722,s1288,s1212,s1500,s1350,s902,s738,s1723,s1654,s1041,s1087,s673,s1218,s668,s1717,s972,s1721,s1046,s223,s657,s654,s726,s289,s1716,s1718,s293,s1719,s588,s1646,s195,s101,s359,s811,s796,s1011,s332,s1550,s1376,s368,s1056,s1190,s262,s1420,s56,s1715,s1702,s586,s1694,s927,s1333,s7]) ).
cnf(s1725,plain,
( spl2_27
| spl2_98
| ~ spl2_220
| spl2_81
| spl2_195
| ~ spl2_51
| spl2_5
| ~ spl2_199
| spl2_1 ),
inference(rat,[],[s1689,s1071,s601,s348,s612,s743,s306,s1603,s1243,s106,s1632,s320,s227,s7,s590,s1724,s289,s1661]) ).
cnf(s1726,plain,
( ~ spl2_27
| spl2_35
| ~ spl2_220
| spl2_81
| ~ spl2_209
| ~ spl2_51
| spl2_5
| ~ spl2_199
| ~ spl2_157 ),
inference(rat,[],[s1653,s1691,s1597,s1044,s1068,s972]) ).
cnf(s1727,plain,
( spl2_27
| ~ spl2_220
| spl2_81
| spl2_195
| ~ spl2_51
| spl2_5
| ~ spl2_199
| spl2_1 ),
inference(rat,[],[s1269,s306,s152,s1243,s106,s1725,s320,s289,s1358,s1409,s1661]) ).
cnf(s1728,plain,
( ~ spl2_220
| spl2_81
| spl2_195
| ~ spl2_51
| spl2_5
| ~ spl2_199
| spl2_1 ),
inference(rat,[],[s1726,s992,s1727,s590,s1724,s1661,s901]) ).
cnf(s1729,plain,
( spl2_27
| spl2_81
| spl2_195
| ~ spl2_51
| spl2_5
| ~ spl2_199
| spl2_1 ),
inference(rat,[],[s1377,s1632,s1068,s808,s1004,s1597,s1269,s1343,s306,s1235,s1243,s106,s320,s7,s590,s1724,s289,s3,s1358,s1409,s1661,s901,s1728]) ).
cnf(s1730,plain,
( spl2_69
| spl2_14
| spl2_35
| spl2_81
| ~ spl2_51
| spl2_5 ),
inference(rat,[],[s1691,s1044,s1068]) ).
cnf(s1731,plain,
( spl2_14
| spl2_118
| spl2_98
| spl2_35
| spl2_81
| ~ spl2_51
| spl2_5
| spl2_74 ),
inference(rat,[],[s1145,s1139,s666,s1046,s1630,s1071,s1572,s368,s601,s1541,s612,s1505,s467,s286,s1377,s1730,s225,s1243,s590]) ).
cnf(s1732,plain,
( spl2_19
| ~ spl2_27
| spl2_81
| ~ spl2_209
| ~ spl2_51
| spl2_5
| ~ spl2_199
| spl2_1 ),
inference(rat,[],[s1653,s1597,s1068,s1377,s1652,s1731,s195,s555,s808,s590,s1724,s289,s3,s1358,s1409,s992,s1661]) ).
cnf(s1733,plain,
( spl2_81
| spl2_195
| ~ spl2_51
| spl2_5
| ~ spl2_199
| spl2_1 ),
inference(rat,[],[s1653,s1597,s1730,s1068,s1377,s1619,s1732,s992,s1729,s590,s1724,s1661,s901]) ).
cnf(s1734,plain,
( ~ spl2_35
| ~ spl2_51
| spl2_10 ),
inference(rat,[],[s61,s106,s1269,s215,s1005,s60]) ).
cnf(s1735,plain,
( ~ spl2_51
| spl2_5
| ~ spl2_199
| spl2_1 ),
inference(rat,[],[s106,s320,s61,s1615,s611,s1733,s101,s1734,s60,s289,s1358,s1409,s1661]) ).
cnf(s1736,plain,
( spl2_27
| ~ spl2_56
| spl2_7 ),
inference(rat,[],[s439,s227,s490]) ).
cnf(s1737,plain,
( ~ spl2_36
| spl2_110
| spl2_35
| ~ spl2_195
| spl2_74 ),
inference(rat,[],[s366,s1136,s223,s1046,s668,s1516,s476,s477,s673,s1303,s286,s590,s101,s588]) ).
cnf(s1738,plain,
( spl2_14
| ~ spl2_27
| spl2_35
| ~ spl2_195
| spl2_51
| spl2_5
| ~ spl2_199
| spl2_74 ),
inference(rat,[],[s381,s1231,s293,s1344,s1551,s369,s226,s1068,s1377,s1737,s1620,s56,s101]) ).
cnf(s1739,plain,
( spl2_19
| spl2_5
| ~ spl2_199
| spl2_1 ),
inference(rat,[],[s657,s1046,s726,s902,s189,s1501,s666,s1087,s628,s1656,s113,s322,s359,s738,s380,s332,s1653,s1655,s1068,s1377,s1652,s195,s555,s806,s590,s101,s381,s743,s1156,s306,s50,s305,s1738,s1736,s1724,s611,s582,s289,s441,s56,s1735,s1358,s1409,s1661]) ).
cnf(s1740,plain,
( ~ spl2_110
| ~ spl2_19
| spl2_47
| ~ spl2_85
| ~ spl2_14
| spl2_51 ),
inference(rat,[],[s399,s794,s797,s666,s615]) ).
cnf(s1741,plain,
( spl2_5
| ~ spl2_199
| spl2_1 ),
inference(rat,[],[s796,s1655,s1703,s1068,s1377,s1737,s1740,s1739,s50,s1156,s381,s305,s306,s743,s1738,s1736,s611,s441,s582,s56,s1735,s1358,s289,s1409,s1661,s1724]) ).
cnf(s1742,plain,
( ~ spl2_199
| spl2_1 ),
inference(rat,[],[s1734,s989,s1068,s1686,s1676,s1377,s1505,s1307,s1414,s56,s8,s262,s291,s1741,s590,s1724]) ).
cnf(s1743,plain,
( spl2_195
| spl2_210
| spl2_118
| spl2_98
| ~ spl2_14
| ~ spl2_61
| ~ spl2_60
| spl2_35
| spl2_1 ),
inference(rat,[],[s1047,s725,s1477,s1274,s1228,s1631,s286,s1377,s1068,s770,s1041,s656,s726,s1633,s189,s1046,s1162,s1402,s223,s1043,s1528,s1286,s1698,s101,s184,s1526,s738,s1067,s1071,s601,s1490,s612,s590,s1724,s7,s1742]) ).
cnf(s1744,plain,
( spl2_27
| ~ spl2_51
| spl2_10
| spl2_1 ),
inference(rat,[],[s628,s656,s732,s726,s223,s1043,s189,s1286,s1689,s1044,s1603,s1676,s1377,s673,s1743,s1526,s738,s434,s1067,s1071,s872,s1490,s601,s195,s152,s1243,s1391,s612,s1269,s293,s61,s407,s1294,s45,s227,s490,s7,s590,s1724,s586,s1742,s60,s101,s1734]) ).
cnf(s1745,plain,
( ~ spl2_36
| ~ spl2_51
| spl2_10
| spl2_1 ),
inference(rat,[],[s738,s1585,s1067,s1071,s1490,s601,s612,s152,s467,s1619,s7,s590,s1724,s1742,s1744]) ).
cnf(s1746,plain,
( ~ spl2_209
| ~ spl2_51
| spl2_5
| spl2_1 ),
inference(rat,[],[s612,s332,s61,s1479,s289,s106,s1516,s1307,s1291,s1677,s590,s60,s1744,s226,s1068,s1377,s1745,s1724,s1734,s1376,s1742]) ).
cnf(s1747,plain,
( ~ spl2_51
| spl2_5
| spl2_1 ),
inference(rat,[],[s738,s1585,s1067,s1071,s1490,s601,s152,s612,s1269,s1615,s901,s1746,s1744,s7,s590,s1724,s1376,s1742]) ).
cnf(s1748,plain,
( spl2_27
| spl2_5
| spl2_1 ),
inference(rat,[],[s612,s306,s1490,s1620,s1516,s1737,s1303,s1676,s1736,s1294,s7,s806,s590,s1724,s441,s1376,s1056,s56,s1747,s586,s1742]) ).
cnf(s1749,plain,
( ~ spl2_36
| ~ spl2_195
| spl2_35
| spl2_51
| spl2_5
| spl2_74 ),
inference(rat,[],[s1045,s1443,s788,s1225,s776,s1616,s189,s113,s322,s667,s1620,s1516,s1737,s673,s1303,s286,s56,s806,s590,s101]) ).
cnf(s1750,plain,
( spl2_14
| spl2_5
| spl2_1 ),
inference(rat,[],[s1516,s1683,s566,s293,s1345,s1551,s590,s101,s1748,s369,s226,s1068,s1377,s1749,s1056,s586,s1724,s441,s1376,s1742,s56,s1747]) ).
cnf(s1751,plain,
( spl2_110
| spl2_134
| spl2_214
| ~ spl2_127
| spl2_118
| spl2_5
| spl2_1 ),
inference(rat,[],[s903,s223,s1043,s704,s654,s1350,s1716,s7,s101,s359,s332,s1655,s1068,s1377,s1749,s1056,s586,s1724,s441,s56,s1747,s1376,s1742,s1750]) ).
cnf(s1752,plain,
( ~ spl2_75
| ~ spl2_127
| spl2_118
| spl2_220
| spl2_5
| spl2_1 ),
inference(rat,[],[s903,s1043,s704,s654,s1500,s189,s667,s615,s1751,s1211,s1585,s1288,s590,s101,s1748,s359,s332,s1655,s1068,s1377,s1749,s1056,s586,s1724,s441,s56,s1747,s1376,s1742,s1750]) ).
cnf(s1753,plain,
( spl2_110
| spl2_72
| ~ spl2_127
| spl2_118
| spl2_5
| spl2_1 ),
inference(rat,[],[s1046,s657,s770,s726,s1041,s1716,s1087,s7,s806,s590,s101,s1750,s332,s1655,s1068,s1377,s1749,s1056,s586,s1724,s441,s56,s1747,s1376,s1742]) ).
cnf(s1754,plain,
( ~ spl2_127
| spl2_118
| ~ spl2_7
| spl2_5
| spl2_1 ),
inference(rat,[],[s698,s903,s1500,s1437,s913,s1135,s1043,s654,s946,s189,s399,s667,s797,s615,s1753,s113,s322,s1752,s359,s332,s1655,s101,s1750,s893,s369,s226,s1068,s1377,s1749,s1056,s586,s1724,s441,s1376,s1742,s56,s1747]) ).
cnf(s1755,plain,
( spl2_127
| spl2_5
| spl2_1 ),
inference(rat,[],[s1490,s612,s1516,s306,s1683,s1156,s293,s7,s806,s590,s1724,s441,s1376,s1056,s56,s1747,s586,s1742,s1748,s1750]) ).
cnf(s1756,plain,
( spl2_110
| spl2_5
| spl2_1 ),
inference(rat,[],[s1046,s657,s376,s726,s1753,s1716,s7,s101,s332,s195,s796,s1655,s1755,s1750,s369,s226,s1068,s1377,s1749,s1056,s586,s1724,s441,s56,s1747,s1376,s1742]) ).
cnf(s1757,plain,
( ~ spl2_178
| ~ spl2_220
| ~ spl2_11
| spl2_118
| ~ spl2_221
| spl2_36
| spl2_98
| ~ spl2_56
| spl2_5 ),
inference(rat,[],[s864,s1038,s1401,s891,s1108,s892,s1225,s774]) ).
cnf(s1758,plain,
( ~ spl2_75
| spl2_5
| spl2_1 ),
inference(rat,[],[s1401,s1547,s864,s1161,s775,s1038,s1047,s652,s658,s721,s1757,s366,s1287,s1500,s902,s738,s1752,s1585,s806,s590,s289,s1754,s195,s796,s369,s226,s376,s1046,s657,s726,s735,s628,s732,s1043,s654,s189,s667,s359,s332,s1655,s1755,s1068,s1750,s615,s1756,s1044,s1377,s1749,s1056,s586,s1724,s101,s441,s56,s1747,s1376,s1742,s1748]) ).
cnf(s1759,plain,
( spl2_5
| spl2_1 ),
inference(rat,[],[s698,s903,s1500,s1437,s913,s366,s1136,s1758,s735,s628,s732,s1046,s1043,s657,s654,s726,s189,s667,s615,s1756,s359,s332,s1655,s1755,s1750,s1044,s1068,s1377,s1749,s1748,s101,s1056,s441,s56,s1747,s1376,s1724,s586,s1742]) ).
cnf(s1760,plain,
spl2_1,
inference(rat,[],[s1734,s989,s1068,s1677,s901,s1678,s1676,s1377,s1505,s1307,s894,s1414,s56,s8,s262,s291,s1759,s1742,s590,s1724,s7]) ).
cnf(s1761,plain,
spl2_2,
inference(rat,[],[s11,s1760]) ).
cnf(s1762,plain,
~ spl2_95,
inference(rat,[],[s347,s1761,s1760]) ).
cnf(s1763,plain,
~ spl2_61,
inference(rat,[],[s251,s1761,s1760]) ).
cnf(s1766,plain,
~ spl2_109,
inference(rat,[],[s405,s1761]) ).
cnf(s1767,plain,
( ~ spl2_51
| spl2_27
| spl2_5 ),
inference(rat,[],[s666,s348,s1087,s19,s628,s289,s1238,s320,s624,s106,s1603,s61,s467,s373,s60,s227,s1761,s1766,s1763]) ).
cnf(s1768,plain,
( spl2_27
| spl2_195
| spl2_5 ),
inference(rat,[],[s1377,s531,s1068,s590,s70,s91,s72,s36,s12,s1736,s1056,s56,s1767,s227,s1761]) ).
cnf(s1769,plain,
( ~ spl2_51
| ~ spl2_27 ),
inference(rat,[],[s205,s373,s1763,s1761]) ).
cnf(s1770,plain,
( spl2_157
| spl2_81
| spl2_195
| ~ spl2_199
| spl2_5 ),
inference(rat,[],[s738,s1435,s1550,s1536,s1333,s1190,s590,s1042,s56,s1769,s1768]) ).
cnf(s1771,plain,
( spl2_14
| spl2_98
| spl2_36
| spl2_81
| ~ spl2_27
| spl2_5 ),
inference(rat,[],[s770,s376,s1041,s1066,s1046,s1087,s1377,s312,s1620,s1550,s1769,s1760,s1761]) ).
cnf(s1772,plain,
( spl2_81
| spl2_195
| ~ spl2_199
| spl2_5 ),
inference(rat,[],[s567,s50,s601,s381,s305,s359,s352,s1771,s806,s531,s1770,s478,s203,s441,s56,s1769,s4,s18,s232,s1768,s1763,s1762,s1760,s1761]) ).
cnf(s1773,plain,
( spl2_195
| ~ spl2_199
| spl2_5 ),
inference(rat,[],[s101,s1772,s441,s56,s1769,s4,s18,s232,s1768,s1761]) ).
cnf(s1774,plain,
( ~ spl2_51
| spl2_5 ),
inference(rat,[],[s207,s1767,s209,s1760,s1761]) ).
cnf(s1775,plain,
( ~ spl2_36
| spl2_110
| spl2_47
| ~ spl2_50
| ~ spl2_195 ),
inference(rat,[],[s489,s480,s668,s478,s673,s286,s1761]) ).
cnf(s1776,plain,
( spl2_27
| ~ spl2_195
| spl2_5 ),
inference(rat,[],[s293,s1654,s108,s628,s668,s348,s1087,s1603,s1775,s1636,s19,s1736,s227,s490,s56,s1774,s1761]) ).
cnf(s1777,plain,
( ~ spl2_74
| spl2_5 ),
inference(rat,[],[s332,s359,s1190,s1550,s927,s56,s1774,s1762]) ).
cnf(s1778,plain,
( ~ spl2_199
| spl2_5 ),
inference(rat,[],[s567,s50,s601,s381,s305,s359,s352,s1738,s441,s4,s478,s18,s203,s232,s1776,s1773,s804,s1777,s56,s1774,s1763,s1762,s1760,s1761]) ).
cnf(s1779,plain,
spl2_5,
inference(rat,[],[s355,s1156,s601,s322,s306,s359,s127,s360,s1771,s369,s226,s1776,s1066,s1056,s101,s1377,s586,s993,s531,s1778,s804,s590,s1777,s56,s1774,s1763,s1762,s1761]) ).
cnf(s1780,plain,
spl2_7,
inference(rat,[],[s291,s1779]) ).
cnf(s1781,plain,
~ spl2_56,
inference(rat,[],[s262,s1779]) ).
cnf(s1782,plain,
spl2_9,
inference(rat,[],[s8,s1779]) ).
cnf(s1785,plain,
spl2_21,
inference(rat,[],[s19,s1761,s1780]) ).
cnf(s1787,plain,
~ spl2_19,
inference(rat,[],[s156,s1785,s1780]) ).
cnf(s1788,plain,
spl2_51,
inference(rat,[],[s56,s1781]) ).
cnf(s1793,plain,
spl2_15,
inference(rat,[],[s236,s1780,s1761,s1782]) ).
cnf(s1794,plain,
~ spl2_36,
inference(rat,[],[s285,s1763,s1782]) ).
cnf(s1797,plain,
~ spl2_35,
inference(rat,[],[s1005,s1788,s1787]) ).
cnf(s1806,plain,
~ spl2_72,
inference(rat,[],[s72,s1793]) ).
cnf(s1807,plain,
~ spl2_47,
inference(rat,[],[s49,s1793]) ).
cnf(s1809,plain,
~ spl2_74,
inference(rat,[],[s91,s1807,s1793]) ).
cnf(s1812,plain,
~ spl2_69,
inference(rat,[],[s1377,s1809,s1794]) ).
cnf(s1817,plain,
~ spl2_81,
inference(rat,[],[s101,s1797]) ).
cnf(s1823,plain,
~ spl2_68,
inference(rat,[],[s70,s1793,s1806]) ).
cnf(s1831,plain,
$false,
inference(rat,[],[s1066,s1817,s1812,s1823]) ).
thf(f12807,plain,
$false,
inference(avatar_sat_refutation,[],[s1831]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA112^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n001.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:05:21 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running higher-order theorem proving
% 0.08/0.26 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
% 0.88/0.41 % (1675125)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.88/0.41 % (1675130)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=115260668:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.88/0.41 % (1675136)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.88/0.41 % (1675136)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
% 0.88/0.41 % (1675131)lrs+10_16_si=on:nwc=1.5:random_seed=2815784532:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.88/0.41 % (1675132)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2756491352:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.88/0.41 % (1675134)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1125095813:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.88/0.41 % (1675133)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=3031976972: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)
% 0.88/0.41 % (1675135)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1925187003:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.88/0.41 % (1675136)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=2023825503:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.88/0.41 % (1675132)Instruction limit reached!
% 0.88/0.41 % (1675132)------------------------------
% 0.88/0.41 % (1675132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.41 % (1675132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.41 % (1675132)CaDiCaL version: 2.1.3
% 0.88/0.41 % (1675132)Termination reason: Instruction limit
% 0.88/0.41 % (1675132)Termination phase: Saturation
% 0.88/0.41 % (1675132)Time elapsed: 0.004 s
% 0.88/0.41 % (1675132)Peak memory usage: 12 MB
% 0.88/0.41 % (1675132)Instructions burned: 3 (million)
% 0.88/0.41 % (1675131)Instruction limit reached!
% 0.88/0.41 % (1675131)------------------------------
% 0.88/0.41 % (1675131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.41 % (1675131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.41 % (1675131)CaDiCaL version: 2.1.3
% 0.88/0.41 % (1675131)Termination reason: Instruction limit
% 0.88/0.41 % (1675131)Termination phase: Saturation
% 0.88/0.41 % (1675131)Time elapsed: 0.010 s
% 0.88/0.41 % (1675131)Peak memory usage: 12 MB
% 0.88/0.41 % (1675131)Instructions burned: 18 (million)
% 0.88/0.41 % (1675130)Instruction limit reached!
% 0.88/0.41 % (1675130)------------------------------
% 0.88/0.41 % (1675130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.41 % (1675130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.41 % (1675130)CaDiCaL version: 2.1.3
% 0.88/0.41 % (1675130)Termination reason: Instruction limit
% 0.88/0.41 % (1675130)Termination phase: Saturation
% 0.88/0.41 % (1675130)Time elapsed: 0.034 s
% 0.88/0.41 % (1675130)Peak memory usage: 12 MB
% 0.88/0.41 % (1675130)Instructions burned: 90 (million)
% 0.88/0.41 % (1675134)Instruction limit reached!
% 0.88/0.41 % (1675134)------------------------------
% 0.88/0.41 % (1675134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.41 % (1675134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.41 % (1675134)CaDiCaL version: 2.1.3
% 0.88/0.41 % (1675134)Termination reason: Instruction limit
% 0.88/0.41 % (1675134)Termination phase: Saturation
% 0.88/0.41 % (1675134)Time elapsed: 0.022 s
% 0.88/0.41 % (1675134)Peak memory usage: 12 MB
% 0.88/0.41 % (1675134)Instructions burned: 24 (million)
% 0.88/0.41 % (1675146)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3371349064:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.88/0.41 % (1675145)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3596856415:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.88/0.45 % (1675148)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.88/0.45 % (1675146)Instruction limit reached!
% 0.88/0.45 % (1675146)------------------------------
% 0.88/0.45 % (1675146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1675146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1675146)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1675146)Termination reason: Instruction limit
% 0.88/0.45 % (1675146)Termination phase: Saturation
% 0.88/0.45 % (1675146)Time elapsed: 0.006 s
% 0.88/0.45 % (1675146)Peak memory usage: 12 MB
% 0.88/0.45 % (1675146)Instructions burned: 5 (million)
% 0.88/0.45 % (1675149)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1370873732:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.88/0.45 % (1675145)Instruction limit reached!
% 0.88/0.45 % (1675145)------------------------------
% 0.88/0.45 % (1675145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1675145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1675145)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1675145)Termination reason: Instruction limit
% 0.88/0.45 % (1675145)Termination phase: Saturation
% 0.88/0.45 % (1675145)Time elapsed: 0.003 s
% 0.88/0.45 % (1675145)Peak memory usage: 12 MB
% 0.88/0.45 % (1675145)Instructions burned: 2 (million)
% 0.88/0.45 % (1675148)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1596845182:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.88/0.45 % (1675149)Instruction limit reached!
% 0.88/0.45 % (1675149)------------------------------
% 0.88/0.45 % (1675149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1675149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1675149)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1675149)Termination reason: Instruction limit
% 0.88/0.45 % (1675149)Termination phase: Saturation
% 0.88/0.45 % (1675149)Time elapsed: 0.006 s
% 0.88/0.45 % (1675149)Peak memory usage: 12 MB
% 0.88/0.45 % (1675149)Instructions burned: 13 (million)
% 0.88/0.45 % (1675148)Instruction limit reached!
% 0.88/0.45 % (1675148)------------------------------
% 0.88/0.45 % (1675148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1675148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1675148)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1675148)Termination reason: Instruction limit
% 0.88/0.45 % (1675148)Termination phase: Saturation
% 0.88/0.45 % (1675148)Time elapsed: 0.005 s
% 0.88/0.45 % (1675148)Peak memory usage: 12 MB
% 0.88/0.45 % (1675148)Instructions burned: 7 (million)
% 0.88/0.45 % (1675157)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.88/0.45 % (1675135)Instruction limit reached!
% 0.88/0.45 % (1675135)------------------------------
% 0.88/0.45 % (1675135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1675135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1675135)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1675135)Termination reason: Instruction limit
% 0.88/0.45 % (1675135)Termination phase: Saturation
% 0.88/0.45 % (1675135)Time elapsed: 0.063 s
% 0.88/0.45 % (1675135)Peak memory usage: 12 MB
% 0.88/0.45 % (1675135)Instructions burned: 75 (million)
% 0.88/0.45 % (1675157)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=1510434884:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.88/0.45 % (1675153)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
% 0.88/0.45 % (1675153)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.88/0.45 % (1675157)Instruction limit reached!
% 0.88/0.45 % (1675157)------------------------------
% 0.88/0.45 % (1675157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1675157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.49 % (1675157)CaDiCaL version: 2.1.3
% 0.88/0.49 % (1675157)Termination reason: Instruction limit
% 0.88/0.49 % (1675157)Termination phase: Saturation
% 0.88/0.49 % (1675157)Time elapsed: 0.001 s
% 0.88/0.49 % (1675157)Peak memory usage: 11 MB
% 0.88/0.49 % (1675157)Instructions burned: 3 (million)
% 0.88/0.49 % (1675156)lrs+10_1_si=on:cs=on:random_seed=1029756310:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.88/0.49 % (1675153)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1982568069:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.88/0.49 % (1675156)Instruction limit reached!
% 0.88/0.49 % (1675156)------------------------------
% 0.88/0.49 % (1675156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.49 % (1675156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.49 % (1675156)CaDiCaL version: 2.1.3
% 0.88/0.49 % (1675156)Termination reason: Instruction limit
% 0.88/0.49 % (1675156)Termination phase: Saturation
% 0.88/0.49 % (1675156)Time elapsed: 0.006 s
% 0.88/0.49 % (1675156)Peak memory usage: 12 MB
% 0.88/0.49 % (1675156)Instructions burned: 8 (million)
% 0.88/0.49 % (1675155)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=1710192882:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.88/0.49 % (1675161)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1645661345:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.88/0.49 % (1675161)Refutation not found, incomplete strategy
% 0.88/0.49 % (1675161)------------------------------
% 0.88/0.49 % (1675161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.49 % (1675161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.49 % (1675161)CaDiCaL version: 2.1.3
% 0.88/0.49 % (1675161)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.49 % (1675161)Time elapsed: 0.001 s
% 0.88/0.49 % (1675161)Peak memory usage: 11 MB
% 0.88/0.49 % (1675161)Instructions burned: 1 (million)
% 0.88/0.49 % (1675161)------------------------------
% 0.88/0.49 % (1675161)------------------------------
% 0.88/0.49 % (1675158)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4186078812:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.88/0.49 % (1675158)Refutation not found, incomplete strategy
% 0.88/0.49 % (1675158)------------------------------
% 0.88/0.49 % (1675158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.49 % (1675158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.49 % (1675158)CaDiCaL version: 2.1.3
% 0.88/0.49 % (1675158)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.49 % (1675158)Time elapsed: 0.001 s
% 0.88/0.49 % (1675158)Peak memory usage: 12 MB
% 0.88/0.49 % (1675153)Instruction limit reached!
% 0.88/0.49 % (1675153)------------------------------
% 0.88/0.49 % (1675153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.49 % (1675153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.49 % (1675153)CaDiCaL version: 2.1.3
% 0.88/0.49 % (1675153)Termination reason: Instruction limit
% 0.88/0.49 % (1675153)Termination phase: Saturation
% 0.88/0.49 % (1675153)Time elapsed: 0.025 s
% 0.88/0.49 % (1675153)Peak memory usage: 12 MB
% 0.88/0.49 % (1675153)Instructions burned: 29 (million)
% 0.88/0.49 % (1675158)------------------------------
% 0.88/0.49 % (1675158)------------------------------
% 0.88/0.49 % (1675136)Instruction limit reached!
% 0.88/0.49 % (1675136)------------------------------
% 0.88/0.49 % (1675136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.49 % (1675136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.49 % (1675136)CaDiCaL version: 2.1.3
% 0.88/0.49 % (1675136)Termination reason: Instruction limit
% 0.88/0.49 % (1675136)Termination phase: Saturation
% 0.88/0.49 % (1675136)Time elapsed: 0.099 s
% 0.88/0.49 % (1675136)Peak memory usage: 12 MB
% 0.88/0.49 % (1675136)Instructions burned: 157 (million)
% 0.88/0.49 % (1675163)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=833397660:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.69/0.55 % (1675163)Refutation not found, incomplete strategy
% 1.69/0.55 % (1675163)------------------------------
% 1.69/0.55 % (1675163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.55 % (1675163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.55 % (1675163)CaDiCaL version: 2.1.3
% 1.69/0.55 % (1675163)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.55 % (1675163)Time elapsed: 0.001 s
% 1.69/0.55 % (1675163)Peak memory usage: 11 MB
% 1.69/0.55 % (1675163)Instructions burned: 1 (million)
% 1.69/0.55 % (1675163)------------------------------
% 1.69/0.55 % (1675163)------------------------------
% 1.69/0.55 % (1675166)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2615761838:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.69/0.55 % (1675168)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4246543772:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.69/0.55 % (1675168)Refutation not found, incomplete strategy
% 1.69/0.55 % (1675168)------------------------------
% 1.69/0.55 % (1675168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.55 % (1675168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.55 % (1675168)CaDiCaL version: 2.1.3
% 1.69/0.55 % (1675168)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.55 % (1675168)Time elapsed: 0.001 s
% 1.69/0.55 % (1675168)Peak memory usage: 12 MB
% 1.69/0.55 % (1675168)Instructions burned: 1 (million)
% 1.69/0.55 % (1675168)------------------------------
% 1.69/0.55 % (1675168)------------------------------
% 1.69/0.55 % (1675170)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=241708003:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.69/0.55 % (1675170)Refutation not found, incomplete strategy
% 1.69/0.55 % (1675170)------------------------------
% 1.69/0.55 % (1675170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.55 % (1675170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.55 % (1675170)CaDiCaL version: 2.1.3
% 1.69/0.55 % (1675170)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.55 % (1675170)Time elapsed: 0.001 s
% 1.69/0.55 % (1675170)Peak memory usage: 11 MB
% 1.69/0.55 % (1675170)------------------------------
% 1.69/0.55 % (1675170)------------------------------
% 1.69/0.55 % (1675166)Instruction limit reached!
% 1.69/0.55 % (1675166)------------------------------
% 1.69/0.55 % (1675166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.55 % (1675166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.55 % (1675166)CaDiCaL version: 2.1.3
% 1.69/0.55 % (1675166)Termination reason: Instruction limit
% 1.69/0.55 % (1675166)Termination phase: Saturation
% 1.69/0.55 % (1675166)Time elapsed: 0.015 s
% 1.69/0.55 % (1675166)Peak memory usage: 12 MB
% 1.69/0.55 % (1675166)Instructions burned: 15 (million)
% 1.69/0.55 % (1675169)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1393924472:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.69/0.55 % (1675175)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3612977557:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.69/0.55 % (1675172)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=546477178:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.69/0.55 % (1675169)Instruction limit reached!
% 1.69/0.55 % (1675169)------------------------------
% 1.69/0.55 % (1675169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.55 % (1675169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.55 % (1675169)CaDiCaL version: 2.1.3
% 1.69/0.55 % (1675169)Termination reason: Instruction limit
% 1.69/0.55 % (1675169)Termination phase: Saturation
% 1.69/0.55 % (1675169)Time elapsed: 0.013 s
% 1.69/0.55 % (1675169)Peak memory usage: 12 MB
% 1.69/0.55 % (1675169)Instructions burned: 14 (million)
% 1.69/0.55 % (1675178)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.36/0.59 % (1675178)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.36/0.59 % (1675175)Instruction limit reached!
% 2.36/0.59 % (1675175)------------------------------
% 2.36/0.59 % (1675175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.59 % (1675175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.59 % (1675175)CaDiCaL version: 2.1.3
% 2.36/0.59 % (1675175)Termination reason: Instruction limit
% 2.36/0.59 % (1675175)Termination phase: Saturation
% 2.36/0.59 % (1675175)Time elapsed: 0.010 s
% 2.36/0.59 % (1675175)Peak memory usage: 12 MB
% 2.36/0.59 % (1675175)Instructions burned: 26 (million)
% 2.36/0.59 % (1675155)Instruction limit reached!
% 2.36/0.59 % (1675155)------------------------------
% 2.36/0.59 % (1675155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.59 % (1675155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.59 % (1675155)CaDiCaL version: 2.1.3
% 2.36/0.59 % (1675155)Termination reason: Instruction limit
% 2.36/0.59 % (1675155)Termination phase: Saturation
% 2.36/0.59 % (1675155)Time elapsed: 0.074 s
% 2.36/0.59 % (1675155)Peak memory usage: 12 MB
% 2.36/0.59 % (1675155)Instructions burned: 89 (million)
% 2.36/0.59 % (1675178)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=3709722851:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.36/0.59 % (1675177)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2857718222:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.36/0.59 % (1675178)Instruction limit reached!
% 2.36/0.59 % (1675178)------------------------------
% 2.36/0.59 % (1675178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.59 % (1675178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.59 % (1675178)CaDiCaL version: 2.1.3
% 2.36/0.59 % (1675178)Termination reason: Instruction limit
% 2.36/0.59 % (1675178)Termination phase: Saturation
% 2.36/0.59 % (1675178)Time elapsed: 0.014 s
% 2.36/0.59 % (1675178)Peak memory usage: 12 MB
% 2.36/0.59 % (1675178)Instructions burned: 15 (million)
% 2.36/0.59 % (1675172)Instruction limit reached!
% 2.36/0.59 % (1675172)------------------------------
% 2.36/0.59 % (1675172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.59 % (1675172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.59 % (1675172)CaDiCaL version: 2.1.3
% 2.36/0.59 % (1675172)Termination reason: Instruction limit
% 2.36/0.59 % (1675172)Termination phase: Saturation
% 2.36/0.59 % (1675172)Time elapsed: 0.024 s
% 2.36/0.59 % (1675172)Peak memory usage: 12 MB
% 2.36/0.59 % (1675172)Instructions burned: 26 (million)
% 2.36/0.59 % (1675185)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3342567807:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.36/0.59 % (1675182)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.36/0.59 % (1675185)Instruction limit reached!
% 2.36/0.59 % (1675185)------------------------------
% 2.36/0.59 % (1675185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.59 % (1675185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.59 % (1675185)CaDiCaL version: 2.1.3
% 2.36/0.59 % (1675185)Termination reason: Instruction limit
% 2.36/0.59 % (1675185)Termination phase: Saturation
% 2.36/0.59 % (1675185)Time elapsed: 0.004 s
% 2.36/0.59 % (1675185)Peak memory usage: 12 MB
% 2.36/0.59 % (1675185)Instructions burned: 9 (million)
% 2.36/0.59 % (1675182)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=671862020:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.36/0.59 % (1675183)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=489314512:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.36/0.59 % (1675182)Instruction limit reached!
% 2.36/0.59 % (1675182)------------------------------
% 2.36/0.59 % (1675182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.66 % (1675182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.66 % (1675182)CaDiCaL version: 2.1.3
% 2.60/0.66 % (1675182)Termination reason: Instruction limit
% 2.60/0.66 % (1675182)Termination phase: Saturation
% 2.60/0.66 % (1675182)Time elapsed: 0.010 s
% 2.60/0.66 % (1675182)Peak memory usage: 12 MB
% 2.60/0.66 % (1675182)Instructions burned: 8 (million)
% 2.60/0.66 % (1675190)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2521033209:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.60/0.66 % (1675187)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1859773041:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.60/0.66 % (1675188)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2842130357:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.60/0.66 % (1675183)Instruction limit reached!
% 2.60/0.66 % (1675183)------------------------------
% 2.60/0.66 % (1675183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.66 % (1675183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.66 % (1675183)CaDiCaL version: 2.1.3
% 2.60/0.66 % (1675183)Termination reason: Instruction limit
% 2.60/0.66 % (1675183)Termination phase: Saturation
% 2.60/0.66 % (1675183)Time elapsed: 0.030 s
% 2.60/0.66 % (1675183)Peak memory usage: 12 MB
% 2.60/0.66 % (1675183)Instructions burned: 32 (million)
% 2.60/0.66 % (1675177)Instruction limit reached!
% 2.60/0.66 % (1675177)------------------------------
% 2.60/0.66 % (1675177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.66 % (1675177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.66 % (1675177)CaDiCaL version: 2.1.3
% 2.60/0.66 % (1675177)Termination reason: Instruction limit
% 2.60/0.66 % (1675177)Termination phase: Saturation
% 2.60/0.66 % (1675177)Time elapsed: 0.054 s
% 2.60/0.66 % (1675177)Peak memory usage: 12 MB
% 2.60/0.66 % (1675177)Instructions burned: 60 (million)
% 2.60/0.66 % (1675187)Instruction limit reached!
% 2.60/0.66 % (1675187)------------------------------
% 2.60/0.66 % (1675187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.66 % (1675187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.66 % (1675187)CaDiCaL version: 2.1.3
% 2.60/0.66 % (1675187)Termination reason: Instruction limit
% 2.60/0.66 % (1675187)Termination phase: Saturation
% 2.60/0.66 % (1675187)Time elapsed: 0.019 s
% 2.60/0.66 % (1675187)Peak memory usage: 12 MB
% 2.60/0.66 % (1675187)Instructions burned: 23 (million)
% 2.60/0.66 % (1675188)Instruction limit reached!
% 2.60/0.66 % (1675188)------------------------------
% 2.60/0.66 % (1675188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.66 % (1675188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.66 % (1675188)CaDiCaL version: 2.1.3
% 2.60/0.66 % (1675188)Termination reason: Instruction limit
% 2.60/0.66 % (1675188)Termination phase: Saturation
% 2.60/0.66 % (1675188)Time elapsed: 0.021 s
% 2.60/0.66 % (1675188)Peak memory usage: 12 MB
% 2.60/0.66 % (1675188)Instructions burned: 20 (million)
% 2.60/0.66 % (1675193)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=971073128:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.60/0.66 % (1675199)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.60/0.66 % (1675199)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=829926056:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.60/0.66 % (1675197)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1403515401:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.60/0.66 % (1675198)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3174324773:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.60/0.66 % (1675197)Refutation not found, incomplete strategy
% 2.60/0.66 % (1675197)------------------------------
% 2.60/0.66 % (1675197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.66 % (1675197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.66 % (1675197)CaDiCaL version: 2.1.3
% 2.82/0.76 % (1675197)Termination reason: Refutation not found, incomplete strategy
% 2.82/0.76 % (1675197)Time elapsed: 0.002 s
% 2.82/0.76 % (1675197)Peak memory usage: 11 MB
% 2.82/0.76 % (1675197)Instructions burned: 1 (million)
% 2.82/0.76 % (1675197)------------------------------
% 2.82/0.76 % (1675197)------------------------------
% 2.82/0.76 % (1675199)Instruction limit reached!
% 2.82/0.76 % (1675199)------------------------------
% 2.82/0.76 % (1675199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (1675199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (1675199)CaDiCaL version: 2.1.3
% 2.82/0.76 % (1675199)Termination reason: Instruction limit
% 2.82/0.76 % (1675199)Termination phase: Saturation
% 2.82/0.76 % (1675199)Time elapsed: 0.005 s
% 2.82/0.76 % (1675199)Peak memory usage: 12 MB
% 2.82/0.76 % (1675199)Instructions burned: 8 (million)
% 2.82/0.76 % (1675201)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3069140961:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.82/0.76 % (1675201)Refutation not found, incomplete strategy
% 2.82/0.76 % (1675201)------------------------------
% 2.82/0.76 % (1675201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (1675201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (1675201)CaDiCaL version: 2.1.3
% 2.82/0.76 % (1675201)Termination reason: Refutation not found, incomplete strategy
% 2.82/0.76 % (1675201)Time elapsed: 0.001 s
% 2.82/0.76 % (1675201)Peak memory usage: 11 MB
% 2.82/0.76 % (1675201)Instructions burned: 1 (million)
% 2.82/0.76 % (1675201)------------------------------
% 2.82/0.76 % (1675201)------------------------------
% 2.82/0.76 % (1675206)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.82/0.76 % (1675205)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=1971539681:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.82/0.76 % (1675198)Instruction limit reached!
% 2.82/0.76 % (1675198)------------------------------
% 2.82/0.76 % (1675198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (1675198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (1675198)CaDiCaL version: 2.1.3
% 2.82/0.76 % (1675198)Termination reason: Instruction limit
% 2.82/0.76 % (1675198)Termination phase: Saturation
% 2.82/0.76 % (1675198)Time elapsed: 0.037 s
% 2.82/0.76 % (1675198)Peak memory usage: 12 MB
% 2.82/0.76 % (1675198)Instructions burned: 43 (million)
% 2.82/0.76 % (1675206)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1240921930:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.82/0.76 % (1675205)Refutation not found, incomplete strategy
% 2.82/0.76 % (1675205)------------------------------
% 2.82/0.76 % (1675205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (1675205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (1675205)CaDiCaL version: 2.1.3
% 2.82/0.76 % (1675205)Termination reason: Refutation not found, incomplete strategy
% 2.82/0.76 % (1675205)Time elapsed: 0.002 s
% 2.82/0.76 % (1675205)Peak memory usage: 11 MB
% 2.82/0.76 % (1675205)Instructions burned: 1 (million)
% 2.82/0.76 % (1675205)------------------------------
% 2.82/0.76 % (1675205)------------------------------
% 2.82/0.76 % (1675206)Refutation not found, incomplete strategy
% 2.82/0.76 % (1675206)------------------------------
% 2.82/0.76 % (1675206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (1675206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (1675206)CaDiCaL version: 2.1.3
% 2.82/0.76 % (1675206)Termination reason: Refutation not found, incomplete strategy
% 2.82/0.76 % (1675206)Time elapsed: 0.002 s
% 2.82/0.76 % (1675206)Peak memory usage: 11 MB
% 2.82/0.76 % (1675206)Instructions burned: 1 (million)
% 2.82/0.76 % (1675206)------------------------------
% 2.82/0.76 % (1675206)------------------------------
% 2.82/0.76 % (1675208)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2399966316:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 3.16/0.86 % (1675208)Instruction limit reached!
% 3.16/0.86 % (1675208)------------------------------
% 3.16/0.86 % (1675208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.86 % (1675208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.86 % (1675208)CaDiCaL version: 2.1.3
% 3.16/0.86 % (1675208)Termination reason: Instruction limit
% 3.16/0.86 % (1675208)Termination phase: Saturation
% 3.16/0.86 % (1675208)Time elapsed: 0.019 s
% 3.16/0.86 % (1675208)Peak memory usage: 12 MB
% 3.16/0.86 % (1675208)Instructions burned: 23 (million)
% 3.16/0.86 % (1675211)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=890704996:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.16/0.86 % (1675193)Instruction limit reached!
% 3.16/0.86 % (1675193)------------------------------
% 3.16/0.86 % (1675193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.86 % (1675193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.86 % (1675193)CaDiCaL version: 2.1.3
% 3.16/0.86 % (1675193)Termination reason: Instruction limit
% 3.16/0.86 % (1675193)Termination phase: Saturation
% 3.16/0.86 % (1675193)Time elapsed: 0.090 s
% 3.16/0.86 % (1675193)Peak memory usage: 12 MB
% 3.16/0.86 % (1675193)Instructions burned: 143 (million)
% 3.16/0.86 % (1675212)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=1595444485:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.16/0.86 % (1675211)Refutation not found, incomplete strategy
% 3.16/0.86 % (1675211)------------------------------
% 3.16/0.86 % (1675211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.86 % (1675211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.86 % (1675211)CaDiCaL version: 2.1.3
% 3.16/0.86 % (1675211)Termination reason: Refutation not found, incomplete strategy
% 3.16/0.86 % (1675211)Time elapsed: 0.004 s
% 3.16/0.86 % (1675211)Peak memory usage: 12 MB
% 3.16/0.86 % (1675211)Instructions burned: 3 (million)
% 3.16/0.86 % (1675213)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=2360757958:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.16/0.86 % (1675211)------------------------------
% 3.16/0.86 % (1675211)------------------------------
% 3.16/0.86 % (1675215)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=918600763:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.16/0.86 % (1675217)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2910141500:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.16/0.86 % (1675217)Refutation not found, incomplete strategy
% 3.16/0.86 % (1675217)------------------------------
% 3.16/0.86 % (1675217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.86 % (1675217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.86 % (1675217)CaDiCaL version: 2.1.3
% 3.16/0.86 % (1675217)Termination reason: Refutation not found, incomplete strategy
% 3.16/0.86 % (1675217)Time elapsed: 0.002 s
% 3.16/0.86 % (1675217)Peak memory usage: 12 MB
% 3.16/0.86 % (1675217)Instructions burned: 1 (million)
% 3.16/0.86 % (1675217)------------------------------
% 3.16/0.86 % (1675217)------------------------------
% 3.16/0.86 % (1675220)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2951406597:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.16/0.86 % (1675215)Instruction limit reached!
% 3.16/0.86 % (1675215)------------------------------
% 3.16/0.86 % (1675215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.86 % (1675215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.86 % (1675215)CaDiCaL version: 2.1.3
% 3.16/0.86 % (1675215)Termination reason: Instruction limit
% 3.16/0.86 % (1675215)Termination phase: Saturation
% 3.16/0.86 % (1675215)Time elapsed: 0.029 s
% 3.16/0.86 % (1675215)Peak memory usage: 12 MB
% 3.16/0.86 % (1675215)Instructions burned: 45 (million)
% 4.03/0.91 % (1675133)Instruction limit reached!
% 4.03/0.91 % (1675133)------------------------------
% 4.03/0.91 % (1675133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.91 % (1675133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.91 % (1675133)CaDiCaL version: 2.1.3
% 4.03/0.91 % (1675133)Termination reason: Instruction limit
% 4.03/0.91 % (1675133)Termination phase: Saturation
% 4.03/0.91 % (1675133)Time elapsed: 0.367 s
% 4.03/0.91 % (1675133)Peak memory usage: 13 MB
% 4.03/0.91 % (1675133)Instructions burned: 635 (million)
% 4.03/0.91 % (1675220)Instruction limit reached!
% 4.03/0.91 % (1675220)------------------------------
% 4.03/0.91 % (1675220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.91 % (1675220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.91 % (1675220)CaDiCaL version: 2.1.3
% 4.03/0.91 % (1675220)Termination reason: Instruction limit
% 4.03/0.91 % (1675220)Termination phase: Saturation
% 4.03/0.91 % (1675220)Time elapsed: 0.020 s
% 4.03/0.91 % (1675220)Peak memory usage: 12 MB
% 4.03/0.91 % (1675220)Instructions burned: 22 (million)
% 4.03/0.91 % (1675224)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 4.03/0.91 % (1675224)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1048492945:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 4.03/0.91 % (1675225)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1853531348:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 4.03/0.91 % (1675227)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3048500750:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 4.03/0.91 % (1675226)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=1488817536:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 4.03/0.91 % (1675227)Refutation not found, incomplete strategy
% 4.03/0.91 % (1675227)------------------------------
% 4.03/0.91 % (1675227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.92 % (1675227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.92 % (1675227)CaDiCaL version: 2.1.3
% 4.03/0.92 % (1675227)Termination reason: Refutation not found, incomplete strategy
% 4.03/0.92 % (1675227)Time elapsed: 0.003 s
% 4.03/0.92 % (1675227)Peak memory usage: 12 MB
% 4.03/0.92 % (1675227)Instructions burned: 2 (million)
% 4.03/0.92 % (1675225)Instruction limit reached!
% 4.03/0.92 % (1675225)------------------------------
% 4.03/0.92 % (1675225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.92 % (1675225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.92 % (1675225)CaDiCaL version: 2.1.3
% 4.03/0.92 % (1675225)Termination reason: Instruction limit
% 4.03/0.92 % (1675225)Termination phase: Saturation
% 4.03/0.92 % (1675225)Time elapsed: 0.014 s
% 4.03/0.92 % (1675225)Peak memory usage: 12 MB
% 4.03/0.92 % (1675225)Instructions burned: 13 (million)
% 4.03/0.92 % (1675227)------------------------------
% 4.03/0.92 % (1675227)------------------------------
% 4.03/0.92 % (1675232)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1001337872:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 4.03/0.92 % (1675233)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=223437768:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 4.03/0.92 % (1675232)Instruction limit reached!
% 4.03/0.92 % (1675232)------------------------------
% 4.03/0.92 % (1675232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.92 % (1675232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.92 % (1675232)CaDiCaL version: 2.1.3
% 4.03/0.92 % (1675232)Termination reason: Instruction limit
% 4.03/0.92 % (1675232)Termination phase: Saturation
% 4.03/0.92 % (1675232)Time elapsed: 0.018 s
% 4.03/0.92 % (1675232)Peak memory usage: 12 MB
% 4.03/0.92 % (1675232)Instructions burned: 31 (million)
% 4.03/0.92 % (1675226)Instruction limit reached!
% 4.03/0.92 % (1675226)------------------------------
% 4.03/0.92 % (1675226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.98 % (1675226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.98 % (1675226)CaDiCaL version: 2.1.3
% 4.03/0.98 % (1675226)Termination reason: Instruction limit
% 4.03/0.98 % (1675226)Termination phase: Saturation
% 4.03/0.98 % (1675226)Time elapsed: 0.051 s
% 4.03/0.98 % (1675226)Peak memory usage: 13 MB
% 4.03/0.98 % (1675226)Instructions burned: 66 (million)
% 4.03/0.98 % (1675236)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=3896120392:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.03/0.98 % (1675237)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=513355677:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 4.03/0.98 % (1675237)Refutation not found, incomplete strategy
% 4.03/0.98 % (1675237)------------------------------
% 4.03/0.98 % (1675237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.98 % (1675237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.98 % (1675237)CaDiCaL version: 2.1.3
% 4.03/0.98 % (1675237)Termination reason: Refutation not found, incomplete strategy
% 4.03/0.98 % (1675237)Time elapsed: 0.002 s
% 4.03/0.98 % (1675237)Peak memory usage: 12 MB
% 4.03/0.98 % (1675237)Instructions burned: 2 (million)
% 4.03/0.98 % (1675237)------------------------------
% 4.03/0.98 % (1675237)------------------------------
% 4.03/0.98 % (1675240)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.03/0.98 % (1675236)Instruction limit reached!
% 4.03/0.98 % (1675236)------------------------------
% 4.03/0.98 % (1675236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.98 % (1675236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.98 % (1675236)CaDiCaL version: 2.1.3
% 4.03/0.98 % (1675236)Termination reason: Instruction limit
% 4.03/0.98 % (1675236)Termination phase: Saturation
% 4.03/0.98 % (1675236)Time elapsed: 0.031 s
% 4.03/0.98 % (1675236)Peak memory usage: 12 MB
% 4.03/0.98 % (1675236)Instructions burned: 35 (million)
% 4.03/0.98 % (1675240)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2325173216:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 4.03/0.98 % (1675224)Instruction limit reached!
% 4.03/0.98 % (1675224)------------------------------
% 4.03/0.98 % (1675224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.98 % (1675224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.98 % (1675224)CaDiCaL version: 2.1.3
% 4.03/0.98 % (1675224)Termination reason: Instruction limit
% 4.03/0.98 % (1675224)Termination phase: Saturation
% 4.03/0.98 % (1675224)Time elapsed: 0.136 s
% 4.03/0.98 % (1675224)Peak memory usage: 12 MB
% 4.03/0.98 % (1675224)Instructions burned: 201 (million)
% 4.03/0.98 % (1675241)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=455615365:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 4.03/0.98 % (1675241)Refutation not found, incomplete strategy
% 4.03/0.98 % (1675241)------------------------------
% 4.03/0.98 % (1675241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.98 % (1675241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.98 % (1675241)CaDiCaL version: 2.1.3
% 4.03/0.98 % (1675241)Termination reason: Refutation not found, incomplete strategy
% 4.03/0.98 % (1675241)Time elapsed: 0.001 s
% 4.03/0.98 % (1675241)Peak memory usage: 11 MB
% 4.03/0.98 % (1675241)Instructions burned: 1 (million)
% 4.03/0.98 % (1675241)------------------------------
% 4.03/0.98 % (1675241)------------------------------
% 4.03/0.98 % (1675243)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1127622557:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 4.03/0.98 % (1675233)Instruction limit reached!
% 4.03/0.98 % (1675233)------------------------------
% 4.03/0.98 % (1675233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.98 % (1675233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.98 % (1675233)CaDiCaL version: 2.1.3
% 4.03/0.98 % (1675233)Termination reason: Instruction limit
% 4.03/0.98 % (1675233)Termination phase: Saturation
% 4.03/0.98 % (1675233)Time elapsed: 0.117 s
% 4.03/0.98 % (1675233)Peak memory usage: 13 MB
% 5.47/1.06 % (1675233)Instructions burned: 138 (million)
% 5.47/1.06 % (1675212)Instruction limit reached!
% 5.47/1.06 % (1675212)------------------------------
% 5.47/1.06 % (1675212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.06 % (1675212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.06 % (1675212)CaDiCaL version: 2.1.3
% 5.47/1.06 % (1675212)Termination reason: Instruction limit
% 5.47/1.06 % (1675212)Termination phase: Saturation
% 5.47/1.06 % (1675212)Time elapsed: 0.244 s
% 5.47/1.06 % (1675212)Peak memory usage: 14 MB
% 5.47/1.06 % (1675212)Instructions burned: 317 (million)
% 5.47/1.06 % (1675246)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=382788527:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.47/1.06 % (1675246)Refutation not found, incomplete strategy
% 5.47/1.06 % (1675246)------------------------------
% 5.47/1.06 % (1675246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.06 % (1675246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.06 % (1675246)CaDiCaL version: 2.1.3
% 5.47/1.06 % (1675246)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.06 % (1675246)Time elapsed: 0.002 s
% 5.47/1.06 % (1675246)Peak memory usage: 11 MB
% 5.47/1.06 % (1675246)Instructions burned: 1 (million)
% 5.47/1.06 % (1675246)------------------------------
% 5.47/1.06 % (1675246)------------------------------
% 5.47/1.06 % (1675247)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3840306084:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.47/1.06 % (1675247)Refutation not found, incomplete strategy
% 5.47/1.06 % (1675247)------------------------------
% 5.47/1.06 % (1675247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.06 % (1675247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.06 % (1675247)CaDiCaL version: 2.1.3
% 5.47/1.06 % (1675247)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.06 % (1675247)Time elapsed: 0.002 s
% 5.47/1.06 % (1675247)Peak memory usage: 11 MB
% 5.47/1.06 % (1675247)Instructions burned: 1 (million)
% 5.47/1.06 % (1675247)------------------------------
% 5.47/1.06 % (1675247)------------------------------
% 5.47/1.06 % (1675248)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3741662105:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.47/1.06 % (1675243)Instruction limit reached!
% 5.47/1.06 % (1675243)------------------------------
% 5.47/1.06 % (1675243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.06 % (1675243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.06 % (1675243)CaDiCaL version: 2.1.3
% 5.47/1.06 % (1675243)Termination reason: Instruction limit
% 5.47/1.06 % (1675243)Termination phase: Saturation
% 5.47/1.06 % (1675243)Time elapsed: 0.054 s
% 5.47/1.06 % (1675243)Peak memory usage: 12 MB
% 5.47/1.06 % (1675243)Instructions burned: 98 (million)
% 5.47/1.06 % (1675248)Refutation not found, incomplete strategy
% 5.47/1.06 % (1675248)------------------------------
% 5.47/1.06 % (1675248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.06 % (1675248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.06 % (1675248)CaDiCaL version: 2.1.3
% 5.47/1.06 % (1675248)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.06 % (1675248)Time elapsed: 0.002 s
% 5.47/1.06 % (1675248)Peak memory usage: 12 MB
% 5.47/1.06 % (1675248)Instructions burned: 1 (million)
% 5.47/1.06 % (1675248)------------------------------
% 5.47/1.06 % (1675248)------------------------------
% 5.47/1.06 % (1675250)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1616869510:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 5.47/1.06 % (1675250)Refutation not found, incomplete strategy
% 5.47/1.06 % (1675250)------------------------------
% 5.47/1.06 % (1675250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.06 % (1675250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.06 % (1675250)CaDiCaL version: 2.1.3
% 5.47/1.06 % (1675250)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.06 % (1675250)Time elapsed: 0.002 s
% 5.47/1.06 % (1675250)Peak memory usage: 11 MB
% 5.47/1.06 % (1675250)Instructions burned: 1 (million)
% 5.47/1.06 % (1675250)------------------------------
% 5.47/1.06 % (1675250)------------------------------
% 5.47/1.14 % (1675254)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3955442791:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 5.47/1.14 % (1675190)Instruction limit reached!
% 5.47/1.14 % (1675190)------------------------------
% 5.47/1.14 % (1675190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.14 % (1675190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.14 % (1675190)CaDiCaL version: 2.1.3
% 5.47/1.14 % (1675190)Termination reason: Instruction limit
% 5.47/1.14 % (1675190)Termination phase: Saturation
% 5.47/1.14 % (1675190)Time elapsed: 0.428 s
% 5.47/1.14 % (1675190)Peak memory usage: 13 MB
% 5.47/1.14 % (1675190)Instructions burned: 1241 (million)
% 5.47/1.14 % (1675254)Refutation not found, incomplete strategy
% 5.47/1.14 % (1675254)------------------------------
% 5.47/1.14 % (1675254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.14 % (1675254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.14 % (1675254)CaDiCaL version: 2.1.3
% 5.47/1.14 % (1675254)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.14 % (1675254)Time elapsed: 0.002 s
% 5.47/1.14 % (1675254)Peak memory usage: 12 MB
% 5.47/1.14 % (1675254)Instructions burned: 2 (million)
% 5.47/1.14 % (1675254)------------------------------
% 5.47/1.14 % (1675254)------------------------------
% 5.47/1.14 % (1675253)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2765496384:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 5.47/1.14 % (1675255)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2984677691:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.47/1.14 % (1675260)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=942458410:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 5.47/1.14 % (1675259)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=2008137318:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.47/1.14 % (1675257)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3313283547:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.47/1.14 % (1675240)Instruction limit reached!
% 5.47/1.14 % (1675240)------------------------------
% 5.47/1.14 % (1675240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.14 % (1675240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.14 % (1675240)CaDiCaL version: 2.1.3
% 5.47/1.14 % (1675240)Termination reason: Instruction limit
% 5.47/1.14 % (1675240)Termination phase: Saturation
% 5.47/1.14 % (1675240)Time elapsed: 0.140 s
% 5.47/1.14 % (1675240)Peak memory usage: 12 MB
% 5.47/1.14 % (1675240)Instructions burned: 180 (million)
% 5.47/1.14 % (1675253)Instruction limit reached!
% 5.47/1.14 % (1675253)------------------------------
% 5.47/1.14 % (1675253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.14 % (1675253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.14 % (1675253)CaDiCaL version: 2.1.3
% 5.47/1.14 % (1675253)Termination reason: Instruction limit
% 5.47/1.14 % (1675253)Termination phase: Saturation
% 5.47/1.14 % (1675253)Time elapsed: 0.037 s
% 5.47/1.14 % (1675253)Peak memory usage: 12 MB
% 5.47/1.14 % (1675253)Instructions burned: 44 (million)
% 5.47/1.14 % (1675266)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=1955214720:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 5.47/1.14 % (1675266)Refutation not found, incomplete strategy
% 5.47/1.14 % (1675266)------------------------------
% 5.47/1.14 % (1675266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.14 % (1675266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.14 % (1675266)CaDiCaL version: 2.1.3
% 5.47/1.14 % (1675266)Termination reason: Refutation not found, incomplete strategy
% 5.86/1.25 % (1675266)Time elapsed: 0.001 s
% 5.86/1.25 % (1675266)Peak memory usage: 12 MB
% 5.86/1.25 % (1675266)Instructions burned: 1 (million)
% 5.86/1.25 % (1675266)------------------------------
% 5.86/1.25 % (1675266)------------------------------
% 5.86/1.25 % (1675260)Instruction limit reached!
% 5.86/1.25 % (1675260)------------------------------
% 5.86/1.25 % (1675260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.25 % (1675260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.25 % (1675260)CaDiCaL version: 2.1.3
% 5.86/1.25 % (1675260)Termination reason: Instruction limit
% 5.86/1.25 % (1675260)Termination phase: Saturation
% 5.86/1.25 % (1675260)Time elapsed: 0.049 s
% 5.86/1.25 % (1675260)Peak memory usage: 13 MB
% 5.86/1.25 % (1675260)Instructions burned: 106 (million)
% 5.86/1.25 % (1675269)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3917750231:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 5.86/1.25 % (1675267)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2066156993:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 5.86/1.25 % (1675267)Refutation not found, incomplete strategy
% 5.86/1.25 % (1675267)------------------------------
% 5.86/1.25 % (1675267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.25 % (1675267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.25 % (1675267)CaDiCaL version: 2.1.3
% 5.86/1.25 % (1675267)Termination reason: Refutation not found, incomplete strategy
% 5.86/1.25 % (1675267)Time elapsed: 0.001 s
% 5.86/1.25 % (1675267)Peak memory usage: 11 MB
% 5.86/1.25 % (1675267)Instructions burned: 1 (million)
% 5.86/1.25 % (1675259)Instruction limit reached!
% 5.86/1.25 % (1675259)------------------------------
% 5.86/1.25 % (1675259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.25 % (1675259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.25 % (1675259)CaDiCaL version: 2.1.3
% 5.86/1.25 % (1675259)Termination reason: Instruction limit
% 5.86/1.25 % (1675259)Termination phase: Saturation
% 5.86/1.25 % (1675259)Time elapsed: 0.058 s
% 5.86/1.25 % (1675259)Peak memory usage: 12 MB
% 5.86/1.25 % (1675259)Instructions burned: 67 (million)
% 5.86/1.25 % (1675267)------------------------------
% 5.86/1.25 % (1675267)------------------------------
% 5.86/1.25 % (1675257)Instruction limit reached!
% 5.86/1.25 % (1675257)------------------------------
% 5.86/1.25 % (1675257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.25 % (1675257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.25 % (1675257)CaDiCaL version: 2.1.3
% 5.86/1.25 % (1675257)Termination reason: Instruction limit
% 5.86/1.25 % (1675257)Termination phase: Saturation
% 5.86/1.25 % (1675257)Time elapsed: 0.074 s
% 5.86/1.25 % (1675257)Peak memory usage: 12 MB
% 5.86/1.25 % (1675257)Instructions burned: 96 (million)
% 5.86/1.25 % (1675270)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=3664238181:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 5.86/1.25 % (1675273)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3912267691:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 5.86/1.25 % (1675274)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=820737417:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 5.86/1.25 % (1675274)Refutation not found, incomplete strategy
% 5.86/1.25 % (1675274)------------------------------
% 5.86/1.25 % (1675274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.86/1.25 % (1675274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.25 % (1675274)CaDiCaL version: 2.1.3
% 5.86/1.25 % (1675274)Termination reason: Refutation not found, incomplete strategy
% 5.86/1.25 % (1675274)Time elapsed: 0.001 s
% 5.86/1.25 % (1675274)Peak memory usage: 11 MB
% 5.86/1.25 % (1675274)------------------------------
% 5.86/1.25 % (1675274)------------------------------
% 5.86/1.25 % (1675270)Instruction limit reached!
% 5.86/1.25 % (1675270)------------------------------
% 5.86/1.25 % (1675270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.33 % (1675270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.33 % (1675270)CaDiCaL version: 2.1.3
% 6.73/1.33 % (1675270)Termination reason: Instruction limit
% 6.73/1.33 % (1675270)Termination phase: Saturation
% 6.73/1.33 % (1675270)Time elapsed: 0.031 s
% 6.73/1.33 % (1675270)Peak memory usage: 12 MB
% 6.73/1.33 % (1675270)Instructions burned: 34 (million)
% 6.73/1.33 % (1675275)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=509400305:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.73/1.33 % (1675275)Instruction limit reached!
% 6.73/1.33 % (1675275)------------------------------
% 6.73/1.33 % (1675275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.33 % (1675275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.33 % (1675275)CaDiCaL version: 2.1.3
% 6.73/1.33 % (1675275)Termination reason: Instruction limit
% 6.73/1.33 % (1675275)Termination phase: Saturation
% 6.73/1.33 % (1675275)Time elapsed: 0.019 s
% 6.73/1.33 % (1675275)Peak memory usage: 12 MB
% 6.73/1.33 % (1675275)Instructions burned: 22 (million)
% 6.73/1.33 % (1675279)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=3650236744:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.73/1.33 % (1675281)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1509509480:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.73/1.33 % (1675281)Refutation not found, incomplete strategy
% 6.73/1.33 % (1675281)------------------------------
% 6.73/1.33 % (1675281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.33 % (1675281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.33 % (1675281)CaDiCaL version: 2.1.3
% 6.73/1.33 % (1675281)Termination reason: Refutation not found, incomplete strategy
% 6.73/1.33 % (1675281)Time elapsed: 0.001 s
% 6.73/1.33 % (1675281)Peak memory usage: 12 MB
% 6.73/1.33 % (1675281)Instructions burned: 1 (million)
% 6.73/1.33 % (1675281)------------------------------
% 6.73/1.33 % (1675281)------------------------------
% 6.73/1.33 % (1675273)Instruction limit reached!
% 6.73/1.33 % (1675273)------------------------------
% 6.73/1.33 % (1675273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.33 % (1675273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.33 % (1675273)CaDiCaL version: 2.1.3
% 6.73/1.33 % (1675273)Termination reason: Instruction limit
% 6.73/1.33 % (1675273)Termination phase: Saturation
% 6.73/1.33 % (1675273)Time elapsed: 0.062 s
% 6.73/1.33 % (1675273)Peak memory usage: 12 MB
% 6.73/1.33 % (1675273)Instructions burned: 92 (million)
% 6.73/1.33 % (1675285)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=2206350991:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.73/1.33 % (1675284)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.73/1.33 % (1675284)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2055194024:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 6.73/1.33 % (1675213)Instruction limit reached!
% 6.73/1.33 % (1675213)------------------------------
% 6.73/1.33 % (1675213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.33 % (1675213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.33 % (1675213)CaDiCaL version: 2.1.3
% 6.73/1.33 % (1675213)Termination reason: Instruction limit
% 6.73/1.33 % (1675213)Termination phase: Saturation
% 6.73/1.33 % (1675213)Time elapsed: 0.499 s
% 6.73/1.33 % (1675213)Peak memory usage: 14 MB
% 6.73/1.33 % (1675213)Instructions burned: 854 (million)
% 6.73/1.33 % (1675286)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1775335858:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.73/1.33 % (1675286)Refutation not found, incomplete strategy
% 6.73/1.33 % (1675286)------------------------------
% 6.73/1.33 % (1675286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.33 % (1675286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.41 % (1675286)CaDiCaL version: 2.1.3
% 7.28/1.41 % (1675286)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.41 % (1675286)Time elapsed: 0.001 s
% 7.28/1.41 % (1675286)Peak memory usage: 12 MB
% 7.28/1.41 % (1675286)------------------------------
% 7.28/1.41 % (1675286)------------------------------
% 7.28/1.41 % (1675289)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.28/1.41 % (1675289)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4182473591:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 7.28/1.41 % (1675291)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1731244450:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 7.28/1.41 % (1675269)Instruction limit reached!
% 7.28/1.41 % (1675269)------------------------------
% 7.28/1.41 % (1675269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.41 % (1675269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.41 % (1675269)CaDiCaL version: 2.1.3
% 7.28/1.41 % (1675269)Termination reason: Instruction limit
% 7.28/1.41 % (1675269)Termination phase: Saturation
% 7.28/1.41 % (1675269)Time elapsed: 0.196 s
% 7.28/1.41 % (1675269)Peak memory usage: 13 MB
% 7.28/1.41 % (1675269)Instructions burned: 496 (million)
% 7.28/1.41 % (1675255)Instruction limit reached!
% 7.28/1.41 % (1675255)------------------------------
% 7.28/1.41 % (1675255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.41 % (1675255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.41 % (1675255)CaDiCaL version: 2.1.3
% 7.28/1.41 % (1675255)Termination reason: Instruction limit
% 7.28/1.41 % (1675255)Termination phase: Saturation
% 7.28/1.41 % (1675255)Time elapsed: 0.264 s
% 7.28/1.41 % (1675255)Peak memory usage: 13 MB
% 7.28/1.41 % (1675255)Instructions burned: 450 (million)
% 7.28/1.41 % (1675295)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=921165832:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.28/1.41 % (1675284)Instruction limit reached!
% 7.28/1.41 % (1675284)------------------------------
% 7.28/1.41 % (1675284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.41 % (1675284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.41 % (1675284)CaDiCaL version: 2.1.3
% 7.28/1.41 % (1675284)Termination reason: Instruction limit
% 7.28/1.41 % (1675284)Termination phase: Saturation
% 7.28/1.41 % (1675284)Time elapsed: 0.109 s
% 7.28/1.41 % (1675284)Peak memory usage: 12 MB
% 7.28/1.41 % (1675284)Instructions burned: 138 (million)
% 7.28/1.41 % (1675294)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4026796808:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 7.28/1.41 % (1675294)Refutation not found, incomplete strategy
% 7.28/1.41 % (1675294)------------------------------
% 7.28/1.41 % (1675294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.41 % (1675294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.41 % (1675294)CaDiCaL version: 2.1.3
% 7.28/1.41 % (1675294)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.41 % (1675294)Time elapsed: 0.003 s
% 7.28/1.41 % (1675294)Peak memory usage: 12 MB
% 7.28/1.41 % (1675294)Instructions burned: 2 (million)
% 7.28/1.41 % (1675294)------------------------------
% 7.28/1.41 % (1675294)------------------------------
% 7.28/1.41 % (1675291)Instruction limit reached!
% 7.28/1.41 % (1675291)------------------------------
% 7.28/1.41 % (1675291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.41 % (1675291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.41 % (1675291)CaDiCaL version: 2.1.3
% 7.28/1.41 % (1675291)Termination reason: Instruction limit
% 7.28/1.41 % (1675291)Termination phase: Saturation
% 7.28/1.41 % (1675291)Time elapsed: 0.081 s
% 7.28/1.41 % (1675291)Peak memory usage: 12 MB
% 7.28/1.41 % (1675291)Instructions burned: 117 (million)
% 7.28/1.41 % (1675299)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3518426975:i=421:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/421Mi)
% 7.28/1.41 % (1675299)Refutation not found, incomplete strategy
% 7.28/1.41 % (1675299)------------------------------
% 7.28/1.50 % (1675299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.50 % (1675299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.50 % (1675299)CaDiCaL version: 2.1.3
% 7.28/1.50 % (1675299)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.50 % (1675299)Time elapsed: 0.001 s
% 7.28/1.50 % (1675299)Peak memory usage: 11 MB
% 7.28/1.50 % (1675299)Instructions burned: 1 (million)
% 7.28/1.50 % (1675297)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=2594459191:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/9840Mi)
% 7.28/1.50 % (1675299)------------------------------
% 7.28/1.50 % (1675299)------------------------------
% 7.28/1.50 % (1675303)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1133492509:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/31Mi)
% 7.28/1.50 % (1675300)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.28/1.50 % (1675300)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=407596765:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.28/1.50 % (1675285)Instruction limit reached!
% 7.28/1.50 % (1675285)------------------------------
% 7.28/1.50 % (1675285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.50 % (1675285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.50 % (1675285)CaDiCaL version: 2.1.3
% 7.28/1.50 % (1675285)Termination reason: Instruction limit
% 7.28/1.50 % (1675285)Termination phase: Saturation
% 7.28/1.50 % (1675285)Time elapsed: 0.193 s
% 7.28/1.50 % (1675285)Peak memory usage: 13 MB
% 7.28/1.50 % (1675285)Instructions burned: 341 (million)
% 7.28/1.50 % (1675303)Instruction limit reached!
% 7.28/1.50 % (1675303)------------------------------
% 7.28/1.50 % (1675303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.50 % (1675303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.50 % (1675303)CaDiCaL version: 2.1.3
% 7.28/1.50 % (1675303)Termination reason: Instruction limit
% 7.28/1.50 % (1675303)Termination phase: Saturation
% 7.28/1.50 % (1675303)Time elapsed: 0.018 s
% 7.28/1.50 % (1675303)Peak memory usage: 12 MB
% 7.28/1.50 % (1675303)Instructions burned: 32 (million)
% 7.28/1.50 % (1675306)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.28/1.50 % (1675306)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.28/1.50 % (1675306)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=1307647898:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.28/1.50 % (1675307)dis+10_2_sil=128000:si=on:random_seed=1842538390:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2989 on theBenchmark for (2989ds/339Mi)
% 7.28/1.50 % (1675307)Refutation not found, incomplete strategy
% 7.28/1.50 % (1675307)------------------------------
% 7.28/1.50 % (1675307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.50 % (1675307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.50 % (1675307)CaDiCaL version: 2.1.3
% 7.28/1.50 % (1675295)Instruction limit reached!
% 7.28/1.50 % (1675295)------------------------------
% 7.28/1.50 % (1675295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.28/1.50 % (1675295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.50 % (1675295)CaDiCaL version: 2.1.3
% 7.28/1.50 % (1675295)Termination reason: Instruction limit
% 7.28/1.50 % (1675295)Termination phase: Saturation
% 7.28/1.50 % (1675295)Time elapsed: 0.114 s
% 7.28/1.50 % (1675295)Peak memory usage: 12 MB
% 7.28/1.50 % (1675295)Instructions burned: 271 (million)
% 8.33/1.61 % (1675307)Termination reason: Refutation not found, incomplete strategy
% 8.33/1.61 % (1675307)Time elapsed: 0.002 s
% 8.33/1.61 % (1675307)Peak memory usage: 11 MB
% 8.33/1.61 % (1675307)Instructions burned: 1 (million)
% 8.33/1.61 % (1675307)------------------------------
% 8.33/1.61 % (1675307)------------------------------
% 8.33/1.61 % (1675279)Instruction limit reached!
% 8.33/1.61 % (1675279)------------------------------
% 8.33/1.61 % (1675279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/1.61 % (1675279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/1.61 % (1675279)CaDiCaL version: 2.1.3
% 8.33/1.61 % (1675279)Termination reason: Instruction limit
% 8.33/1.61 % (1675279)Termination phase: Saturation
% 8.33/1.61 % (1675279)Time elapsed: 0.269 s
% 8.33/1.61 % (1675279)Peak memory usage: 14 MB
% 8.33/1.61 % (1675279)Instructions burned: 338 (million)
% 8.33/1.61 % (1675311)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=1252261803:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/122Mi)
% 8.33/1.61 % (1675311)Refutation not found, incomplete strategy
% 8.33/1.61 % (1675311)------------------------------
% 8.33/1.61 % (1675311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/1.61 % (1675311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/1.61 % (1675311)CaDiCaL version: 2.1.3
% 8.33/1.61 % (1675311)Termination reason: Refutation not found, incomplete strategy
% 8.33/1.61 % (1675311)Time elapsed: 0.001 s
% 8.33/1.61 % (1675311)Peak memory usage: 11 MB
% 8.33/1.61 % (1675311)Instructions burned: 1 (million)
% 8.33/1.61 % (1675311)------------------------------
% 8.33/1.61 % (1675311)------------------------------
% 8.33/1.61 % (1675310)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=365794229:i=111:add=on:fgj=on:rtra=on:fdi=1024_2989 on theBenchmark for (2989ds/111Mi)
% 8.33/1.61 % (1675312)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=2850948038:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/136Mi)
% 8.33/1.61 % (1675314)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1336884141:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/232Mi)
% 8.33/1.61 % (1675314)Refutation not found, incomplete strategy
% 8.33/1.61 % (1675314)------------------------------
% 8.33/1.61 % (1675314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/1.61 % (1675314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/1.61 % (1675314)CaDiCaL version: 2.1.3
% 8.33/1.61 % (1675314)Termination reason: Refutation not found, incomplete strategy
% 8.33/1.61 % (1675314)Time elapsed: 0.001 s
% 8.33/1.61 % (1675314)Peak memory usage: 11 MB
% 8.33/1.61 % (1675314)Instructions burned: 1 (million)
% 8.33/1.61 % (1675314)------------------------------
% 8.33/1.61 % (1675314)------------------------------
% 8.33/1.61 % (1675312)Refutation not found, incomplete strategy
% 8.33/1.61 % (1675312)------------------------------
% 8.33/1.61 % (1675312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/1.61 % (1675312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/1.61 % (1675312)CaDiCaL version: 2.1.3
% 8.33/1.61 % (1675312)Termination reason: Refutation not found, incomplete strategy
% 8.33/1.61 % (1675312)Time elapsed: 0.003 s
% 8.33/1.61 % (1675312)Peak memory usage: 12 MB
% 8.33/1.61 % (1675312)Instructions burned: 2 (million)
% 8.33/1.61 % (1675312)------------------------------
% 8.33/1.61 % (1675312)------------------------------
% 8.33/1.61 % (1675318)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=2404555969:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 8.33/1.61 % (1675318)Refutation not found, incomplete strategy
% 8.33/1.61 % (1675318)------------------------------
% 8.33/1.61 % (1675318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.33/1.61 % (1675318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/1.61 % (1675318)CaDiCaL version: 2.1.3
% 8.33/1.61 % (1675318)Termination reason: Refutation not found, incomplete strategy
% 8.33/1.61 % (1675318)Time elapsed: 0.002 s
% 8.84/1.71 % (1675318)Peak memory usage: 11 MB
% 8.84/1.71 % (1675318)Instructions burned: 3 (million)
% 8.84/1.71 % (1675318)------------------------------
% 8.84/1.71 % (1675318)------------------------------
% 8.84/1.71 % (1675319)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 8.84/1.71 % (1675319)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=3171165588:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 8.84/1.71 % (1675321)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1740754222:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 8.84/1.71 % (1675321)Refutation not found, incomplete strategy
% 8.84/1.71 % (1675321)------------------------------
% 8.84/1.71 % (1675321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.84/1.71 % (1675321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/1.71 % (1675321)CaDiCaL version: 2.1.3
% 8.84/1.71 % (1675321)Termination reason: Refutation not found, incomplete strategy
% 8.84/1.71 % (1675321)Time elapsed: 0.002 s
% 8.84/1.71 % (1675321)Peak memory usage: 12 MB
% 8.84/1.71 % (1675321)Instructions burned: 3 (million)
% 8.84/1.71 % (1675321)------------------------------
% 8.84/1.71 % (1675321)------------------------------
% 8.84/1.71 % (1675324)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=2053996633:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 8.84/1.71 % (1675310)Instruction limit reached!
% 8.84/1.71 % (1675310)------------------------------
% 8.84/1.71 % (1675310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.84/1.71 % (1675310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/1.71 % (1675310)CaDiCaL version: 2.1.3
% 8.84/1.71 % (1675310)Termination reason: Instruction limit
% 8.84/1.71 % (1675310)Termination phase: Saturation
% 8.84/1.71 % (1675310)Time elapsed: 0.094 s
% 8.84/1.71 % (1675310)Peak memory usage: 12 MB
% 8.84/1.71 % (1675310)Instructions burned: 112 (million)
% 8.84/1.71 % (1675289)Instruction limit reached!
% 8.84/1.71 % (1675289)------------------------------
% 8.84/1.71 % (1675289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.84/1.71 % (1675289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/1.71 % (1675289)CaDiCaL version: 2.1.3
% 8.84/1.71 % (1675289)Termination reason: Instruction limit
% 8.84/1.71 % (1675289)Termination phase: Saturation
% 8.84/1.71 % (1675289)Time elapsed: 0.310 s
% 8.84/1.71 % (1675289)Peak memory usage: 13 MB
% 8.84/1.71 % (1675289)Instructions burned: 373 (million)
% 8.84/1.71 % (1675300)Instruction limit reached!
% 8.84/1.71 % (1675300)------------------------------
% 8.84/1.71 % (1675300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.84/1.71 % (1675300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/1.71 % (1675300)CaDiCaL version: 2.1.3
% 8.84/1.71 % (1675300)Termination reason: Instruction limit
% 8.84/1.71 % (1675300)Termination phase: Saturation
% 8.84/1.71 % (1675300)Time elapsed: 0.186 s
% 8.84/1.71 % (1675300)Peak memory usage: 13 MB
% 8.84/1.71 % (1675300)Instructions burned: 271 (million)
% 8.84/1.71 % (1675326)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2433332843:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 8.84/1.71 % (1675326)Refutation not found, incomplete strategy
% 8.84/1.71 % (1675326)------------------------------
% 8.84/1.71 % (1675326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.84/1.71 % (1675326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/1.71 % (1675326)CaDiCaL version: 2.1.3
% 8.84/1.71 % (1675326)Termination reason: Refutation not found, incomplete strategy
% 8.84/1.71 % (1675326)Time elapsed: 0.001 s
% 8.84/1.71 % (1675326)Peak memory usage: 11 MB
% 8.84/1.71 % (1675326)Instructions burned: 1 (million)
% 8.84/1.71 % (1675326)------------------------------
% 8.84/1.71 % (1675326)------------------------------
% 8.84/1.71 % (1675327)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3561642395:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/130Mi)
% 8.84/1.71 % (1675327)Refutation not found, incomplete strategy
% 9.22/1.95 % (1675327)------------------------------
% 9.22/1.95 % (1675327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.95 % (1675327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.95 % (1675327)CaDiCaL version: 2.1.3
% 9.22/1.95 % (1675327)Termination reason: Refutation not found, incomplete strategy
% 9.22/1.95 % (1675327)Time elapsed: 0.003 s
% 9.22/1.95 % (1675327)Peak memory usage: 11 MB
% 9.22/1.95 % (1675327)Instructions burned: 1 (million)
% 9.22/1.95 % (1675330)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1687510571:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 9.22/1.95 % (1675327)------------------------------
% 9.22/1.95 % (1675327)------------------------------
% 9.22/1.95 % (1675328)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3060760175:st=1.5:i=346:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/346Mi)
% 9.22/1.95 % (1675328)Refutation not found, incomplete strategy
% 9.22/1.95 % (1675328)------------------------------
% 9.22/1.95 % (1675328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.95 % (1675328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.95 % (1675328)CaDiCaL version: 2.1.3
% 9.22/1.95 % (1675328)Termination reason: Refutation not found, incomplete strategy
% 9.22/1.95 % (1675328)Time elapsed: 0.002 s
% 9.22/1.95 % (1675328)Peak memory usage: 11 MB
% 9.22/1.95 % (1675328)Instructions burned: 1 (million)
% 9.22/1.95 % (1675328)------------------------------
% 9.22/1.95 % (1675328)------------------------------
% 9.22/1.95 % (1675335)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2486742590:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 9.22/1.95 % (1675336)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=627919144:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 9.22/1.95 % (1675336)Refutation not found, incomplete strategy
% 9.22/1.95 % (1675336)------------------------------
% 9.22/1.95 % (1675336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.95 % (1675336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.95 % (1675336)CaDiCaL version: 2.1.3
% 9.22/1.95 % (1675336)Termination reason: Refutation not found, incomplete strategy
% 9.22/1.95 % (1675336)Time elapsed: 0.002 s
% 9.22/1.95 % (1675336)Peak memory usage: 11 MB
% 9.22/1.95 % (1675336)Instructions burned: 1 (million)
% 9.22/1.95 % (1675336)------------------------------
% 9.22/1.95 % (1675336)------------------------------
% 9.22/1.95 % (1675340)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=3652495922:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 9.22/1.95 % (1675330)Instruction limit reached!
% 9.22/1.95 % (1675330)------------------------------
% 9.22/1.95 % (1675330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.95 % (1675330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.95 % (1675330)CaDiCaL version: 2.1.3
% 9.22/1.95 % (1675330)Termination reason: Instruction limit
% 9.22/1.95 % (1675330)Termination phase: Saturation
% 9.22/1.95 % (1675330)Time elapsed: 0.069 s
% 9.22/1.95 % (1675330)Peak memory usage: 13 MB
% 9.22/1.95 % (1675330)Instructions burned: 154 (million)
% 9.22/1.95 % (1675335)Instruction limit reached!
% 9.22/1.95 % (1675335)------------------------------
% 9.22/1.95 % (1675335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.22/1.95 % (1675335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/1.95 % (1675335)CaDiCaL version: 2.1.3
% 9.22/1.95 % (1675335)Termination reason: Instruction limit
% 9.22/1.95 % (1675335)Termination phase: Saturation
% 9.22/1.95 % (1675335)Time elapsed: 0.060 s
% 9.22/1.95 % (1675335)Peak memory usage: 12 MB
% 9.22/1.95 % (1675335)Instructions burned: 76 (million)
% 9.22/1.95 % (1675342)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=4087606160:i=161:piset=and:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/161Mi)
% 9.22/1.95 % (1675343)lrs+10_1_sil=128000:si=on:random_seed=1862278310:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/888Mi)
% 9.22/1.95 % (1675343)Refutation not found, incomplete strategy
% 9.22/1.95 % (1675343)------------------------------
% 13.42/2.30 % (1675343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.42/2.30 % (1675343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.30 % (1675343)CaDiCaL version: 2.1.3
% 13.42/2.30 % (1675343)Termination reason: Refutation not found, incomplete strategy
% 13.42/2.30 % (1675343)Time elapsed: 0.001 s
% 13.42/2.30 % (1675343)Peak memory usage: 11 MB
% 13.42/2.30 % (1675343)Instructions burned: 1 (million)
% 13.42/2.30 % (1675343)------------------------------
% 13.42/2.30 % (1675343)------------------------------
% 13.42/2.30 % (1675346)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=2815956519:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 13.42/2.30 % (1675346)Refutation not found, incomplete strategy
% 13.42/2.30 % (1675346)------------------------------
% 13.42/2.30 % (1675346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.42/2.30 % (1675346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.30 % (1675346)CaDiCaL version: 2.1.3
% 13.42/2.30 % (1675346)Termination reason: Refutation not found, incomplete strategy
% 13.42/2.30 % (1675346)Time elapsed: 0.002 s
% 13.42/2.30 % (1675346)Peak memory usage: 12 MB
% 13.42/2.30 % (1675346)Instructions burned: 3 (million)
% 13.42/2.30 % (1675346)------------------------------
% 13.42/2.30 % (1675346)------------------------------
% 13.42/2.30 % (1675348)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=2498275645:i=88:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/88Mi)
% 13.42/2.30 % (1675319)Instruction limit reached!
% 13.42/2.30 % (1675319)------------------------------
% 13.42/2.30 % (1675319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.42/2.30 % (1675319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.30 % (1675319)CaDiCaL version: 2.1.3
% 13.42/2.30 % (1675319)Termination reason: Instruction limit
% 13.42/2.30 % (1675319)Termination phase: Saturation
% 13.42/2.30 % (1675319)Time elapsed: 0.244 s
% 13.42/2.30 % (1675319)Peak memory usage: 13 MB
% 13.42/2.30 % (1675319)Instructions burned: 281 (million)
% 13.42/2.30 % (1675340)Instruction limit reached!
% 13.42/2.30 % (1675340)------------------------------
% 13.42/2.30 % (1675340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.42/2.30 % (1675340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.30 % (1675340)CaDiCaL version: 2.1.3
% 13.42/2.30 % (1675340)Termination reason: Instruction limit
% 13.42/2.30 % (1675340)Termination phase: Saturation
% 13.42/2.30 % (1675340)Time elapsed: 0.107 s
% 13.42/2.30 % (1675340)Peak memory usage: 13 MB
% 13.42/2.30 % (1675340)Instructions burned: 149 (million)
% 13.42/2.30 % (1675350)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3852945311:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2986 on theBenchmark for (2986ds/93Mi)
% 13.42/2.30 % (1675348)Instruction limit reached!
% 13.42/2.30 % (1675348)------------------------------
% 13.42/2.30 % (1675348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.42/2.30 % (1675348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.30 % (1675348)CaDiCaL version: 2.1.3
% 13.42/2.30 % (1675348)Termination reason: Instruction limit
% 13.42/2.30 % (1675348)Termination phase: Saturation
% 13.42/2.30 % (1675348)Time elapsed: 0.034 s
% 13.42/2.30 % (1675348)Peak memory usage: 12 MB
% 13.42/2.30 % (1675348)Instructions burned: 91 (million)
% 13.42/2.30 % (1675351)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2316416913:i=2186:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/2186Mi)
% 13.42/2.30 % (1675342)Instruction limit reached!
% 13.42/2.30 % (1675342)------------------------------
% 13.42/2.30 % (1675342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.42/2.30 % (1675342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.30 % (1675342)CaDiCaL version: 2.1.3
% 13.42/2.30 % (1675342)Termination reason: Instruction limit
% 13.42/2.30 % (1675342)Termination phase: Saturation
% 13.42/2.30 % (1675342)Time elapsed: 0.097 s
% 13.42/2.30 % (1675342)Peak memory usage: 12 MB
% 13.42/2.30 % (1675342)Instructions burned: 163 (million)
% 13.42/2.30 % (1675353)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3807352309:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 15.06/2.55 % (1675356)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1256671599:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/805Mi)
% 15.06/2.55 % (1675350)Instruction limit reached!
% 15.06/2.55 % (1675350)------------------------------
% 15.06/2.55 % (1675350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.06/2.55 % (1675350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/2.55 % (1675350)CaDiCaL version: 2.1.3
% 15.06/2.55 % (1675350)Termination reason: Instruction limit
% 15.06/2.55 % (1675350)Termination phase: Saturation
% 15.06/2.55 % (1675350)Time elapsed: 0.069 s
% 15.06/2.55 % (1675350)Peak memory usage: 12 MB
% 15.06/2.55 % (1675350)Instructions burned: 93 (million)
% 15.06/2.55 % (1675360)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 15.06/2.55 % (1675360)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=4094280451:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2985 on theBenchmark for (2985ds/391Mi)
% 15.06/2.55 % (1675360)Refutation not found, incomplete strategy
% 15.06/2.55 % (1675360)------------------------------
% 15.06/2.55 % (1675360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.06/2.55 % (1675360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/2.55 % (1675360)CaDiCaL version: 2.1.3
% 15.06/2.55 % (1675360)Termination reason: Refutation not found, incomplete strategy
% 15.06/2.55 % (1675360)Time elapsed: 0.002 s
% 15.06/2.55 % (1675360)Peak memory usage: 12 MB
% 15.06/2.55 % (1675360)Instructions burned: 1 (million)
% 15.06/2.55 % (1675360)------------------------------
% 15.06/2.55 % (1675360)------------------------------
% 15.06/2.55 % (1675353)Instruction limit reached!
% 15.06/2.55 % (1675353)------------------------------
% 15.06/2.55 % (1675353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.06/2.55 % (1675353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/2.55 % (1675353)CaDiCaL version: 2.1.3
% 15.06/2.55 % (1675353)Termination reason: Instruction limit
% 15.06/2.55 % (1675353)Termination phase: Saturation
% 15.06/2.55 % (1675353)Time elapsed: 0.085 s
% 15.06/2.55 % (1675353)Peak memory usage: 13 MB
% 15.06/2.55 % (1675353)Instructions burned: 245 (million)
% 15.06/2.55 % (1675363)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2840053950:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/314Mi)
% 15.06/2.55 % (1675363)Refutation not found, incomplete strategy
% 15.06/2.55 % (1675363)------------------------------
% 15.06/2.55 % (1675363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.06/2.55 % (1675363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/2.55 % (1675363)CaDiCaL version: 2.1.3
% 15.06/2.55 % (1675363)Termination reason: Refutation not found, incomplete strategy
% 15.06/2.55 % (1675363)Time elapsed: 0.001 s
% 15.06/2.55 % (1675363)Peak memory usage: 11 MB
% 15.06/2.55 % (1675363)Instructions burned: 1 (million)
% 15.06/2.55 % (1675363)------------------------------
% 15.06/2.55 % (1675363)------------------------------
% 15.06/2.55 % (1675362)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=294051011:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 15.06/2.55 % (1675365)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2267450217:s2a=on:i=251:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/251Mi)
% 15.06/2.55 % (1675365)Instruction limit reached!
% 15.06/2.55 % (1675365)------------------------------
% 15.06/2.55 % (1675365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.06/2.55 % (1675365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/2.55 % (1675365)CaDiCaL version: 2.1.3
% 15.06/2.55 % (1675365)Termination reason: Instruction limit
% 15.06/2.55 % (1675365)Termination phase: Saturation
% 15.06/2.55 % (1675365)Time elapsed: 0.102 s
% 15.06/2.55 % (1675365)Peak memory usage: 13 MB
% 15.06/2.55 % (1675365)Instructions burned: 252 (million)
% 15.06/2.55 % (1675370)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=1242325893:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2983 on theBenchmark for (2983ds/2470Mi)
% 16.44/2.62 % (1675324)Instruction limit reached!
% 16.44/2.62 % (1675324)------------------------------
% 16.44/2.62 % (1675324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.44/2.62 % (1675324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.44/2.62 % (1675324)CaDiCaL version: 2.1.3
% 16.44/2.62 % (1675324)Termination reason: Instruction limit
% 16.44/2.62 % (1675324)Termination phase: Saturation
% 16.44/2.62 % (1675324)Time elapsed: 0.647 s
% 16.44/2.62 % (1675324)Peak memory usage: 15 MB
% 16.44/2.62 % (1675324)Instructions burned: 865 (million)
% 16.44/2.62 % (1675362)Instruction limit reached!
% 16.44/2.62 % (1675362)------------------------------
% 16.44/2.62 % (1675362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.44/2.62 % (1675362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.44/2.62 % (1675362)CaDiCaL version: 2.1.3
% 16.44/2.62 % (1675362)Termination reason: Instruction limit
% 16.44/2.62 % (1675362)Termination phase: Saturation
% 16.44/2.62 % (1675362)Time elapsed: 0.275 s
% 16.44/2.62 % (1675362)Peak memory usage: 12 MB
% 16.44/2.62 % (1675362)Instructions burned: 355 (million)
% 16.44/2.62 % (1675306)Instruction limit reached!
% 16.44/2.62 % (1675306)------------------------------
% 16.44/2.62 % (1675306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.44/2.62 % (1675306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.44/2.62 % (1675306)CaDiCaL version: 2.1.3
% 16.44/2.62 % (1675306)Termination reason: Instruction limit
% 16.44/2.62 % (1675306)Termination phase: Saturation
% 16.44/2.62 % (1675306)Time elapsed: 0.799 s
% 16.44/2.62 % (1675306)Peak memory usage: 13 MB
% 16.44/2.62 % (1675306)Instructions burned: 1441 (million)
% 16.44/2.62 % (1675373)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3027795997:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2981 on theBenchmark for (2981ds/673Mi)
% 16.44/2.62 % (1675374)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=771799916:i=116:ep=RSTC:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/116Mi)
% 16.44/2.62 % (1675376)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1517355747:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2981 on theBenchmark for (2981ds/270Mi)
% 16.44/2.62 % (1675374)Instruction limit reached!
% 16.44/2.62 % (1675374)------------------------------
% 16.44/2.62 % (1675374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.44/2.62 % (1675374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.44/2.62 % (1675374)CaDiCaL version: 2.1.3
% 16.44/2.62 % (1675374)Termination reason: Instruction limit
% 16.44/2.62 % (1675374)Termination phase: Saturation
% 16.44/2.62 % (1675374)Time elapsed: 0.082 s
% 16.44/2.62 % (1675374)Peak memory usage: 12 MB
% 16.44/2.62 % (1675374)Instructions burned: 117 (million)
% 16.44/2.62 % (1675380)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=583516120:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2980 on theBenchmark for (2980ds/30Mi)
% 16.44/2.62 % (1675380)Instruction limit reached!
% 16.44/2.62 % (1675380)------------------------------
% 16.44/2.62 % (1675380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.44/2.62 % (1675380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.44/2.62 % (1675380)CaDiCaL version: 2.1.3
% 16.44/2.62 % (1675380)Termination reason: Instruction limit
% 16.44/2.62 % (1675380)Termination phase: Saturation
% 16.44/2.62 % (1675380)Time elapsed: 0.017 s
% 16.44/2.62 % (1675380)Peak memory usage: 12 MB
% 16.44/2.62 % (1675380)Instructions burned: 33 (million)
% 16.44/2.62 % (1675382)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 16.44/2.62 % (1675382)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1924554570:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2980 on theBenchmark for (2980ds/39Mi)
% 16.44/2.62 % (1675382)Instruction limit reached!
% 16.44/2.62 % (1675382)------------------------------
% 18.02/2.99 % (1675382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/2.99 % (1675382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/2.99 % (1675382)CaDiCaL version: 2.1.3
% 18.02/2.99 % (1675382)Termination reason: Instruction limit
% 18.02/2.99 % (1675382)Termination phase: Saturation
% 18.02/2.99 % (1675382)Time elapsed: 0.024 s
% 18.02/2.99 % (1675382)Peak memory usage: 12 MB
% 18.02/2.99 % (1675382)Instructions burned: 42 (million)
% 18.02/2.99 % (1675356)Instruction limit reached!
% 18.02/2.99 % (1675356)------------------------------
% 18.02/2.99 % (1675356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/2.99 % (1675356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/2.99 % (1675356)CaDiCaL version: 2.1.3
% 18.02/2.99 % (1675356)Termination reason: Instruction limit
% 18.02/2.99 % (1675356)Termination phase: Saturation
% 18.02/2.99 % (1675356)Time elapsed: 0.579 s
% 18.02/2.99 % (1675356)Peak memory usage: 14 MB
% 18.02/2.99 % (1675356)Instructions burned: 805 (million)
% 18.02/2.99 % (1675384)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=827225516:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 18.02/2.99 % (1675385)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2187827039:i=158:av=off:rtra=on_2979 on theBenchmark for (2979ds/158Mi)
% 18.02/2.99 % (1675376)Instruction limit reached!
% 18.02/2.99 % (1675376)------------------------------
% 18.02/2.99 % (1675376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/2.99 % (1675376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/2.99 % (1675376)CaDiCaL version: 2.1.3
% 18.02/2.99 % (1675376)Termination reason: Instruction limit
% 18.02/2.99 % (1675376)Termination phase: Saturation
% 18.02/2.99 % (1675376)Time elapsed: 0.214 s
% 18.02/2.99 % (1675376)Peak memory usage: 12 MB
% 18.02/2.99 % (1675376)Instructions burned: 271 (million)
% 18.02/2.99 % (1675391)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
% 18.02/2.99 % (1675391)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=1557037841:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/252Mi)
% 18.02/2.99 % (1675385)Instruction limit reached!
% 18.02/2.99 % (1675385)------------------------------
% 18.02/2.99 % (1675385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/2.99 % (1675385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/2.99 % (1675385)CaDiCaL version: 2.1.3
% 18.02/2.99 % (1675385)Termination reason: Instruction limit
% 18.02/2.99 % (1675385)Termination phase: Saturation
% 18.02/2.99 % (1675385)Time elapsed: 0.131 s
% 18.02/2.99 % (1675385)Peak memory usage: 12 MB
% 18.02/2.99 % (1675385)Instructions burned: 159 (million)
% 18.02/2.99 % (1675394)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=4183946793:i=213:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/213Mi)
% 18.02/2.99 % (1675394)Refutation not found, incomplete strategy
% 18.02/2.99 % (1675394)------------------------------
% 18.02/2.99 % (1675394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/2.99 % (1675394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/2.99 % (1675394)CaDiCaL version: 2.1.3
% 18.02/2.99 % (1675394)Termination reason: Refutation not found, incomplete strategy
% 18.02/2.99 % (1675394)Time elapsed: 0.002 s
% 18.02/2.99 % (1675394)Peak memory usage: 11 MB
% 18.02/2.99 % (1675394)Instructions burned: 1 (million)
% 18.02/2.99 % (1675394)------------------------------
% 18.02/2.99 % (1675394)------------------------------
% 18.02/2.99 % (1675396)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=4069807826:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/160Mi)
% 18.02/2.99 % (1675396)Refutation not found, incomplete strategy
% 18.02/2.99 % (1675396)------------------------------
% 18.02/2.99 % (1675396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/2.99 % (1675396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/2.99 % (1675396)CaDiCaL version: 2.1.3
% 18.02/3.03 % (1675396)Termination reason: Refutation not found, incomplete strategy
% 18.02/3.03 % (1675396)Time elapsed: 0.002 s
% 18.02/3.03 % (1675396)Peak memory usage: 11 MB
% 18.02/3.03 % (1675396)Instructions burned: 1 (million)
% 18.02/3.03 % (1675396)------------------------------
% 18.02/3.03 % (1675396)------------------------------
% 18.02/3.03 % (1675384)Instruction limit reached!
% 18.02/3.03 % (1675384)------------------------------
% 18.02/3.03 % (1675384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.03 % (1675384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.03 % (1675384)CaDiCaL version: 2.1.3
% 18.02/3.03 % (1675384)Termination reason: Instruction limit
% 18.02/3.03 % (1675384)Termination phase: Saturation
% 18.02/3.03 % (1675384)Time elapsed: 0.219 s
% 18.02/3.03 % (1675384)Peak memory usage: 13 MB
% 18.02/3.03 % (1675384)Instructions burned: 366 (million)
% 18.02/3.03 % (1675398)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=115275913:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/763Mi)
% 18.02/3.03 % (1675391)Instruction limit reached!
% 18.02/3.03 % (1675391)------------------------------
% 18.02/3.03 % (1675391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.03 % (1675391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.03 % (1675391)CaDiCaL version: 2.1.3
% 18.02/3.03 % (1675391)Termination reason: Instruction limit
% 18.02/3.03 % (1675391)Termination phase: Saturation
% 18.02/3.03 % (1675391)Time elapsed: 0.171 s
% 18.02/3.03 % (1675391)Peak memory usage: 12 MB
% 18.02/3.03 % (1675391)Instructions burned: 252 (million)
% 18.02/3.03 % (1675399)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 18.02/3.03 % (1675373)Instruction limit reached!
% 18.02/3.03 % (1675373)------------------------------
% 18.02/3.03 % (1675373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.03 % (1675373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.03 % (1675373)CaDiCaL version: 2.1.3
% 18.02/3.03 % (1675373)Termination reason: Instruction limit
% 18.02/3.03 % (1675373)Termination phase: Saturation
% 18.02/3.03 % (1675373)Time elapsed: 0.453 s
% 18.02/3.03 % (1675373)Peak memory usage: 13 MB
% 18.02/3.03 % (1675373)Instructions burned: 674 (million)
% 18.02/3.03 % (1675399)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=2043652390:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2977 on theBenchmark for (2977ds/237Mi)
% 18.02/3.03 % (1675399)Refutation not found, incomplete strategy
% 18.02/3.03 % (1675399)------------------------------
% 18.02/3.03 % (1675399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.03 % (1675399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.03 % (1675399)CaDiCaL version: 2.1.3
% 18.02/3.03 % (1675399)Termination reason: Refutation not found, incomplete strategy
% 18.02/3.03 % (1675399)Time elapsed: 0.001 s
% 18.02/3.03 % (1675399)Peak memory usage: 11 MB
% 18.02/3.03 % (1675399)------------------------------
% 18.02/3.03 % (1675399)------------------------------
% 18.02/3.03 % (1675401)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2754060392:s2a=on:i=386:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/386Mi)
% 18.02/3.03 % (1675402)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2592850976:i=300:piset=and:nm=32:rtra=on_2976 on theBenchmark for (2976ds/300Mi)
% 18.02/3.03 % (1675404)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1545708219:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 18.02/3.03 % (1675404)Refutation not found, incomplete strategy
% 18.02/3.03 % (1675404)------------------------------
% 18.02/3.03 % (1675404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.02/3.03 % (1675404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.02/3.03 % (1675404)CaDiCaL version: 2.1.3
% 18.02/3.03 % (1675404)Termination reason: Refutation not found, incomplete strategy
% 18.02/3.03 % (1675404)Time elapsed: 0.002 s
% 18.02/3.03 % (1675404)Peak memory usage: 11 MB
% 18.02/3.03 % (1675404)Instructions burned: 1 (million)
% 18.02/3.03 % (1675404)------------------------------
% 19.54/3.10 % (1675404)------------------------------
% 19.54/3.10 % (1675408)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=506233240:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 19.54/3.10 % (1675408)Refutation not found, incomplete strategy
% 19.54/3.10 % (1675408)------------------------------
% 19.54/3.10 % (1675408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.10 % (1675408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.10 % (1675408)CaDiCaL version: 2.1.3
% 19.54/3.10 % (1675408)Termination reason: Refutation not found, incomplete strategy
% 19.54/3.10 % (1675408)Time elapsed: 0.001 s
% 19.54/3.10 % (1675408)Peak memory usage: 11 MB
% 19.54/3.10 % (1675408)Instructions burned: 1 (million)
% 19.54/3.10 % (1675408)------------------------------
% 19.54/3.10 % (1675408)------------------------------
% 19.54/3.10 % (1675412)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3291949733:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2976 on theBenchmark for (2976ds/429Mi)
% 19.54/3.10 % (1675402)Instruction limit reached!
% 19.54/3.10 % (1675402)------------------------------
% 19.54/3.10 % (1675402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.10 % (1675402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.10 % (1675402)CaDiCaL version: 2.1.3
% 19.54/3.10 % (1675402)Termination reason: Instruction limit
% 19.54/3.10 % (1675402)Termination phase: Saturation
% 19.54/3.10 % (1675402)Time elapsed: 0.230 s
% 19.54/3.10 % (1675402)Peak memory usage: 12 MB
% 19.54/3.10 % (1675402)Instructions burned: 300 (million)
% 19.54/3.10 % (1675414)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2893991003:i=478:bd=all:rtra=on_2974 on theBenchmark for (2974ds/478Mi)
% 19.54/3.10 % (1675414)Refutation not found, incomplete strategy
% 19.54/3.10 % (1675414)------------------------------
% 19.54/3.10 % (1675414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.10 % (1675414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.10 % (1675414)CaDiCaL version: 2.1.3
% 19.54/3.10 % (1675414)Termination reason: Refutation not found, incomplete strategy
% 19.54/3.10 % (1675414)Time elapsed: 0.003 s
% 19.54/3.10 % (1675414)Peak memory usage: 12 MB
% 19.54/3.10 % (1675414)Instructions burned: 2 (million)
% 19.54/3.10 % (1675414)------------------------------
% 19.54/3.10 % (1675414)------------------------------
% 19.54/3.10 % (1675401)Instruction limit reached!
% 19.54/3.10 % (1675401)------------------------------
% 19.54/3.10 % (1675401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.10 % (1675401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.10 % (1675401)CaDiCaL version: 2.1.3
% 19.54/3.10 % (1675401)Termination reason: Instruction limit
% 19.54/3.10 % (1675401)Termination phase: Saturation
% 19.54/3.10 % (1675401)Time elapsed: 0.296 s
% 19.54/3.10 % (1675401)Peak memory usage: 12 MB
% 19.54/3.10 % (1675401)Instructions burned: 387 (million)
% 19.54/3.10 % (1675416)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2450970826:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2973 on theBenchmark for (2973ds/445Mi)
% 19.54/3.10 % (1675417)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2177286938:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/71Mi)
% 19.54/3.10 % (1675370)Instruction limit reached!
% 19.54/3.10 % (1675370)------------------------------
% 19.54/3.10 % (1675370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.10 % (1675370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.10 % (1675370)CaDiCaL version: 2.1.3
% 19.54/3.10 % (1675370)Termination reason: Instruction limit
% 19.54/3.10 % (1675370)Termination phase: Saturation
% 19.54/3.10 % (1675370)Time elapsed: 1.020 s
% 19.54/3.10 % (1675370)Peak memory usage: 16 MB
% 19.54/3.10 % (1675370)Instructions burned: 2471 (million)
% 19.54/3.10 % (1675417)Instruction limit reached!
% 19.54/3.10 % (1675417)------------------------------
% 19.54/3.10 % (1675417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.10 % (1675417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.10 % (1675417)CaDiCaL version: 2.1.3
% 19.54/3.10 % (1675417)Termination reason: Instruction limit
% 19.54/3.10 % (1675417)Termination phase: Saturation
% 20.26/3.28 % (1675417)Time elapsed: 0.062 s
% 20.26/3.28 % (1675417)Peak memory usage: 12 MB
% 20.26/3.28 % (1675417)Instructions burned: 72 (million)
% 20.26/3.28 % (1675420)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2077673755:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/302Mi)
% 20.26/3.28 % (1675420)Refutation not found, incomplete strategy
% 20.26/3.28 % (1675420)------------------------------
% 20.26/3.28 % (1675420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (1675420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.28 % (1675420)CaDiCaL version: 2.1.3
% 20.26/3.28 % (1675420)Termination reason: Refutation not found, incomplete strategy
% 20.26/3.28 % (1675420)Time elapsed: 0.001 s
% 20.26/3.28 % (1675420)Peak memory usage: 12 MB
% 20.26/3.28 % (1675420)Instructions burned: 1 (million)
% 20.26/3.28 % (1675420)------------------------------
% 20.26/3.28 % (1675420)------------------------------
% 20.26/3.28 % (1675398)Instruction limit reached!
% 20.26/3.28 % (1675398)------------------------------
% 20.26/3.28 % (1675398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (1675398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.28 % (1675398)CaDiCaL version: 2.1.3
% 20.26/3.28 % (1675398)Termination reason: Instruction limit
% 20.26/3.28 % (1675398)Termination phase: Saturation
% 20.26/3.28 % (1675398)Time elapsed: 0.433 s
% 20.26/3.28 % (1675398)Peak memory usage: 14 MB
% 20.26/3.28 % (1675398)Instructions burned: 764 (million)
% 20.26/3.28 % (1675421)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2768453533:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/4980Mi)
% 20.26/3.28 % (1675421)Refutation not found, incomplete strategy
% 20.26/3.28 % (1675421)------------------------------
% 20.26/3.28 % (1675421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (1675421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.28 % (1675421)CaDiCaL version: 2.1.3
% 20.26/3.28 % (1675421)Termination reason: Refutation not found, incomplete strategy
% 20.26/3.28 % (1675421)Time elapsed: 0.001 s
% 20.26/3.28 % (1675421)Peak memory usage: 11 MB
% 20.26/3.28 % (1675421)Instructions burned: 1 (million)
% 20.26/3.28 % (1675421)------------------------------
% 20.26/3.28 % (1675421)------------------------------
% 20.26/3.28 % (1675412)Instruction limit reached!
% 20.26/3.28 % (1675412)------------------------------
% 20.26/3.28 % (1675412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (1675412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.28 % (1675412)CaDiCaL version: 2.1.3
% 20.26/3.28 % (1675412)Termination reason: Instruction limit
% 20.26/3.28 % (1675412)Termination phase: Saturation
% 20.26/3.28 % (1675412)Time elapsed: 0.348 s
% 20.26/3.28 % (1675412)Peak memory usage: 13 MB
% 20.26/3.28 % (1675412)Instructions burned: 429 (million)
% 20.26/3.28 % (1675426)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1823470410:i=289:rtra=on_2972 on theBenchmark for (2972ds/289Mi)
% 20.26/3.28 % (1675426)Refutation not found, incomplete strategy
% 20.26/3.28 % (1675426)------------------------------
% 20.26/3.28 % (1675426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (1675426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.28 % (1675426)CaDiCaL version: 2.1.3
% 20.26/3.28 % (1675426)Termination reason: Refutation not found, incomplete strategy
% 20.26/3.28 % (1675426)Time elapsed: 0.001 s
% 20.26/3.28 % (1675426)Peak memory usage: 12 MB
% 20.26/3.28 % (1675426)Instructions burned: 2 (million)
% 20.26/3.28 % (1675423)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 20.26/3.28 % (1675423)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.26/3.28 % (1675426)------------------------------
% 20.26/3.28 % (1675426)------------------------------
% 20.26/3.28 % (1675351)Instruction limit reached!
% 20.26/3.28 % (1675351)------------------------------
% 20.26/3.28 % (1675351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (1675351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.41 % (1675351)CaDiCaL version: 2.1.3
% 20.97/3.41 % (1675351)Termination reason: Instruction limit
% 20.97/3.41 % (1675351)Termination phase: Saturation
% 20.97/3.41 % (1675351)Time elapsed: 1.327 s
% 20.97/3.41 % (1675351)Peak memory usage: 13 MB
% 20.97/3.41 % (1675351)Instructions burned: 2186 (million)
% 20.97/3.41 % (1675423)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1312890918:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2972 on theBenchmark for (2972ds/100Mi)
% 20.97/3.41 % (1675425)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=2095768395:i=76:piset=equals:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/76Mi)
% 20.97/3.41 % (1675429)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=670348083:cond=on:i=34:hud=10:nm=10:rtra=on_2972 on theBenchmark for (2972ds/34Mi)
% 20.97/3.41 % (1675427)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=4250686595:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2972 on theBenchmark for (2972ds/493Mi)
% 20.97/3.41 % (1675431)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.97/3.41 % (1675429)Instruction limit reached!
% 20.97/3.41 % (1675429)------------------------------
% 20.97/3.41 % (1675429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.41 % (1675429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.41 % (1675429)CaDiCaL version: 2.1.3
% 20.97/3.41 % (1675429)Termination reason: Instruction limit
% 20.97/3.41 % (1675429)Termination phase: Saturation
% 20.97/3.41 % (1675429)Time elapsed: 0.017 s
% 20.97/3.41 % (1675429)Peak memory usage: 12 MB
% 20.97/3.41 % (1675429)Instructions burned: 35 (million)
% 20.97/3.41 % (1675431)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=444176098:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2972 on theBenchmark for (2972ds/372Mi)
% 20.97/3.41 % (1675431)Refutation not found, incomplete strategy
% 20.97/3.41 % (1675431)------------------------------
% 20.97/3.41 % (1675431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.41 % (1675431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.41 % (1675431)CaDiCaL version: 2.1.3
% 20.97/3.41 % (1675431)Termination reason: Refutation not found, incomplete strategy
% 20.97/3.41 % (1675431)Time elapsed: 0.003 s
% 20.97/3.41 % (1675431)Peak memory usage: 12 MB
% 20.97/3.41 % (1675431)Instructions burned: 3 (million)
% 20.97/3.41 % (1675431)------------------------------
% 20.97/3.41 % (1675431)------------------------------
% 20.97/3.41 % (1675435)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1697478034:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2972 on theBenchmark for (2972ds/670Mi)
% 20.97/3.41 % (1675437)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3641641704:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/647Mi)
% 20.97/3.41 % (1675437)Refutation not found, incomplete strategy
% 20.97/3.41 % (1675437)------------------------------
% 20.97/3.41 % (1675437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.41 % (1675437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.41 % (1675437)CaDiCaL version: 2.1.3
% 20.97/3.41 % (1675437)Termination reason: Refutation not found, incomplete strategy
% 20.97/3.41 % (1675437)Time elapsed: 0.001 s
% 20.97/3.41 % (1675437)Peak memory usage: 11 MB
% 20.97/3.41 % (1675437)Instructions burned: 1 (million)
% 20.97/3.41 % (1675437)------------------------------
% 20.97/3.41 % (1675437)------------------------------
% 20.97/3.41 % (1675425)Instruction limit reached!
% 20.97/3.41 % (1675425)------------------------------
% 20.97/3.41 % (1675425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.41 % (1675425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.41 % (1675425)CaDiCaL version: 2.1.3
% 20.97/3.41 % (1675425)Termination reason: Instruction limit
% 20.97/3.41 % (1675425)Termination phase: Saturation
% 21.59/3.54 % (1675425)Time elapsed: 0.066 s
% 21.59/3.54 % (1675425)Peak memory usage: 12 MB
% 21.59/3.54 % (1675425)Instructions burned: 77 (million)
% 21.59/3.54 % (1675423)Instruction limit reached!
% 21.59/3.54 % (1675423)------------------------------
% 21.59/3.54 % (1675423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.54 % (1675423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.54 % (1675423)CaDiCaL version: 2.1.3
% 21.59/3.54 % (1675423)Termination reason: Instruction limit
% 21.59/3.54 % (1675423)Termination phase: Saturation
% 21.59/3.54 % (1675423)Time elapsed: 0.075 s
% 21.59/3.54 % (1675423)Peak memory usage: 12 MB
% 21.59/3.54 % (1675423)Instructions burned: 101 (million)
% 21.59/3.54 % (1675441)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=4096853527:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/693Mi)
% 21.59/3.54 % (1675440)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=3891977199:i=857:add=off:kws=frequency:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/857Mi)
% 21.59/3.54 % (1675442)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3014162368:i=285:hud=10:bd=all:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/285Mi)
% 21.59/3.54 % (1675442)Refutation not found, incomplete strategy
% 21.59/3.54 % (1675442)------------------------------
% 21.59/3.54 % (1675442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.54 % (1675442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.54 % (1675442)CaDiCaL version: 2.1.3
% 21.59/3.54 % (1675442)Termination reason: Refutation not found, incomplete strategy
% 21.59/3.54 % (1675442)Time elapsed: 0.002 s
% 21.59/3.54 % (1675442)Peak memory usage: 11 MB
% 21.59/3.54 % (1675442)Instructions burned: 1 (million)
% 21.59/3.54 % (1675442)------------------------------
% 21.59/3.54 % (1675442)------------------------------
% 21.59/3.54 % (1675446)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 21.59/3.54 % (1675446)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=2582595032:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2971 on theBenchmark for (2971ds/52Mi)
% 21.59/3.54 % (1675446)Instruction limit reached!
% 21.59/3.54 % (1675446)------------------------------
% 21.59/3.54 % (1675446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.54 % (1675446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.54 % (1675446)CaDiCaL version: 2.1.3
% 21.59/3.54 % (1675446)Termination reason: Instruction limit
% 21.59/3.54 % (1675446)Termination phase: Saturation
% 21.59/3.54 % (1675446)Time elapsed: 0.025 s
% 21.59/3.54 % (1675446)Peak memory usage: 12 MB
% 21.59/3.54 % (1675446)Instructions burned: 54 (million)
% 21.59/3.54 % (1675448)dis+10_1_si=on:random_seed=598893956:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2970 on theBenchmark for (2970ds/407Mi)
% 21.59/3.54 % (1675448)Refutation not found, incomplete strategy
% 21.59/3.54 % (1675448)------------------------------
% 21.59/3.54 % (1675448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.54 % (1675448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.54 % (1675448)CaDiCaL version: 2.1.3
% 21.59/3.54 % (1675448)Termination reason: Refutation not found, incomplete strategy
% 21.59/3.54 % (1675448)Time elapsed: 0.001 s
% 21.59/3.54 % (1675448)Peak memory usage: 11 MB
% 21.59/3.54 % (1675448)Instructions burned: 1 (million)
% 21.59/3.54 % (1675448)------------------------------
% 21.59/3.54 % (1675448)------------------------------
% 21.59/3.54 % (1675450)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=1082900340:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/2240Mi)
% 21.59/3.54 % (1675416)Instruction limit reached!
% 21.59/3.54 % (1675416)------------------------------
% 21.59/3.54 % (1675416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.54 % (1675416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.54 % (1675416)CaDiCaL version: 2.1.3
% 21.59/3.54 % (1675416)Termination reason: Instruction limit
% 23.15/3.84 % (1675416)Termination phase: Saturation
% 23.15/3.84 % (1675416)Time elapsed: 0.380 s
% 23.15/3.84 % (1675416)Peak memory usage: 14 MB
% 23.15/3.84 % (1675416)Instructions burned: 446 (million)
% 23.15/3.84 % (1675452)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1680388603:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/336Mi)
% 23.15/3.84 % (1675452)Refutation not found, incomplete strategy
% 23.15/3.84 % (1675452)------------------------------
% 23.15/3.84 % (1675452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.15/3.84 % (1675452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/3.84 % (1675452)CaDiCaL version: 2.1.3
% 23.15/3.84 % (1675452)Termination reason: Refutation not found, incomplete strategy
% 23.15/3.84 % (1675452)Time elapsed: 0.002 s
% 23.15/3.84 % (1675452)Peak memory usage: 11 MB
% 23.15/3.84 % (1675452)Instructions burned: 1 (million)
% 23.15/3.84 % (1675452)------------------------------
% 23.15/3.84 % (1675452)------------------------------
% 23.15/3.84 % (1675454)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=733780423:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2969 on theBenchmark for (2969ds/1142Mi)
% 23.15/3.85 % (1675454)Refutation not found, incomplete strategy
% 23.15/3.85 % (1675454)------------------------------
% 23.15/3.85 % (1675454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.15/3.85 % (1675454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/3.85 % (1675454)CaDiCaL version: 2.1.3
% 23.15/3.85 % (1675454)Termination reason: Refutation not found, incomplete strategy
% 23.15/3.85 % (1675454)Time elapsed: 0.015 s
% 23.15/3.85 % (1675454)Peak memory usage: 12 MB
% 23.15/3.85 % (1675454)Instructions burned: 25 (million)
% 23.15/3.85 % (1675454)------------------------------
% 23.15/3.85 % (1675454)------------------------------
% 23.15/3.85 % (1675441)Instruction limit reached!
% 23.15/3.85 % (1675441)------------------------------
% 23.15/3.85 % (1675441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.15/3.85 % (1675441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/3.85 % (1675441)CaDiCaL version: 2.1.3
% 23.15/3.85 % (1675441)Termination reason: Instruction limit
% 23.15/3.85 % (1675441)Termination phase: Saturation
% 23.15/3.85 % (1675441)Time elapsed: 0.251 s
% 23.15/3.85 % (1675441)Peak memory usage: 13 MB
% 23.15/3.85 % (1675441)Instructions burned: 695 (million)
% 23.15/3.85 % (1675456)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1218233834:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/376Mi)
% 23.15/3.85 % (1675456)Refutation not found, incomplete strategy
% 23.15/3.85 % (1675456)------------------------------
% 23.15/3.85 % (1675456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.15/3.85 % (1675456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/3.85 % (1675456)CaDiCaL version: 2.1.3
% 23.15/3.85 % (1675456)Termination reason: Refutation not found, incomplete strategy
% 23.15/3.85 % (1675456)Time elapsed: 0.001 s
% 23.15/3.85 % (1675456)Peak memory usage: 11 MB
% 23.15/3.85 % (1675456)Instructions burned: 1 (million)
% 23.15/3.85 % (1675456)------------------------------
% 23.15/3.85 % (1675456)------------------------------
% 23.15/3.85 % (1675459)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 23.15/3.85 % (1675459)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1725157477: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_2968 on theBenchmark for (2968ds/959Mi)
% 23.15/3.85 % (1675459)Refutation not found, incomplete strategy
% 23.15/3.85 % (1675459)------------------------------
% 23.15/3.85 % (1675459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.15/3.85 % (1675459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/3.85 % (1675459)CaDiCaL version: 2.1.3
% 23.15/3.85 % (1675459)Termination reason: Refutation not found, incomplete strategy
% 23.15/3.85 % (1675459)Time elapsed: 0.001 s
% 23.15/3.85 % (1675459)Peak memory usage: 11 MB
% 23.15/3.85 % (1675459)Instructions burned: 1 (million)
% 23.15/3.85 % (1675459)------------------------------
% 23.15/3.85 % (1675459)------------------------------
% 23.15/3.85 % (1675457)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2481269462:i=766:bd=all:rtra=on_2968 on theBenchmark for (2968ds/766Mi)
% 23.53/4.05 % (1675457)Refutation not found, incomplete strategy
% 23.53/4.05 % (1675457)------------------------------
% 23.53/4.05 % (1675457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.05 % (1675457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.05 % (1675457)CaDiCaL version: 2.1.3
% 23.53/4.05 % (1675457)Termination reason: Refutation not found, incomplete strategy
% 23.53/4.05 % (1675457)Time elapsed: 0.003 s
% 23.53/4.05 % (1675457)Peak memory usage: 13 MB
% 23.53/4.05 % (1675457)Instructions burned: 2 (million)
% 23.53/4.05 % (1675457)------------------------------
% 23.53/4.05 % (1675457)------------------------------
% 23.53/4.05 % (1675462)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=2171353443:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2968 on theBenchmark for (2968ds/6359Mi)
% 23.53/4.05 % (1675427)Instruction limit reached!
% 23.53/4.05 % (1675427)------------------------------
% 23.53/4.05 % (1675427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.05 % (1675427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.05 % (1675427)CaDiCaL version: 2.1.3
% 23.53/4.05 % (1675427)Termination reason: Instruction limit
% 23.53/4.05 % (1675427)Termination phase: Saturation
% 23.53/4.05 % (1675427)Time elapsed: 0.387 s
% 23.53/4.05 % (1675427)Peak memory usage: 13 MB
% 23.53/4.05 % (1675427)Instructions burned: 493 (million)
% 23.53/4.05 % (1675463)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3759314921:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2968 on theBenchmark for (2968ds/35Mi)
% 23.53/4.05 % (1675463)Refutation not found, incomplete strategy
% 23.53/4.05 % (1675463)------------------------------
% 23.53/4.05 % (1675463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.05 % (1675463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.05 % (1675463)CaDiCaL version: 2.1.3
% 23.53/4.05 % (1675463)Termination reason: Refutation not found, incomplete strategy
% 23.53/4.05 % (1675463)Time elapsed: 0.001 s
% 23.53/4.05 % (1675463)Peak memory usage: 11 MB
% 23.53/4.05 % (1675463)------------------------------
% 23.53/4.05 % (1675463)------------------------------
% 23.53/4.05 % (1675465)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1744857468:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2968 on theBenchmark for (2968ds/53Mi)
% 23.53/4.05 % (1675467)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3150556536:s2a=on:i=876:s2at=6:nm=2:rtra=on_2968 on theBenchmark for (2968ds/876Mi)
% 23.53/4.05 % (1675435)Instruction limit reached!
% 23.53/4.05 % (1675435)------------------------------
% 23.53/4.05 % (1675435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.05 % (1675435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.05 % (1675435)CaDiCaL version: 2.1.3
% 23.53/4.05 % (1675435)Termination reason: Instruction limit
% 23.53/4.05 % (1675435)Termination phase: Saturation
% 23.53/4.05 % (1675435)Time elapsed: 0.418 s
% 23.53/4.05 % (1675435)Peak memory usage: 12 MB
% 23.53/4.05 % (1675435)Instructions burned: 670 (million)
% 23.53/4.05 % (1675465)Instruction limit reached!
% 23.53/4.05 % (1675465)------------------------------
% 23.53/4.05 % (1675465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.05 % (1675465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.05 % (1675465)CaDiCaL version: 2.1.3
% 23.53/4.05 % (1675465)Termination reason: Instruction limit
% 23.53/4.05 % (1675465)Termination phase: Saturation
% 23.53/4.05 % (1675465)Time elapsed: 0.047 s
% 23.53/4.05 % (1675465)Peak memory usage: 12 MB
% 23.53/4.05 % (1675465)Instructions burned: 53 (million)
% 23.53/4.05 % (1675470)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3269821801:i=57:ep=R:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/57Mi)
% 23.53/4.05 % (1675471)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 23.53/4.05 % (1675471)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=4154135359:i=306:bd=all:rtra=on_2967 on theBenchmark for (2967ds/306Mi)
% 23.53/4.09 % (1675471)Refutation not found, incomplete strategy
% 23.53/4.09 % (1675471)------------------------------
% 23.53/4.09 % (1675471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675471)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675471)Termination reason: Refutation not found, incomplete strategy
% 23.53/4.09 % (1675471)Time elapsed: 0.002 s
% 23.53/4.09 % (1675471)Peak memory usage: 12 MB
% 23.53/4.09 % (1675471)Instructions burned: 2 (million)
% 23.53/4.09 % (1675471)------------------------------
% 23.53/4.09 % (1675471)------------------------------
% 23.53/4.09 % (1675474)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3284593310:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/262Mi)
% 23.53/4.09 % (1675474)Refutation not found, incomplete strategy
% 23.53/4.09 % (1675474)------------------------------
% 23.53/4.09 % (1675474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675474)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675474)Termination reason: Refutation not found, incomplete strategy
% 23.53/4.09 % (1675474)Time elapsed: 0.001 s
% 23.53/4.09 % (1675474)Peak memory usage: 11 MB
% 23.53/4.09 % (1675474)Instructions burned: 1 (million)
% 23.53/4.09 % (1675474)------------------------------
% 23.53/4.09 % (1675474)------------------------------
% 23.53/4.09 % (1675470)Instruction limit reached!
% 23.53/4.09 % (1675470)------------------------------
% 23.53/4.09 % (1675470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675470)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675470)Termination reason: Instruction limit
% 23.53/4.09 % (1675470)Termination phase: Saturation
% 23.53/4.09 % (1675470)Time elapsed: 0.046 s
% 23.53/4.09 % (1675470)Peak memory usage: 12 MB
% 23.53/4.09 % (1675470)Instructions burned: 57 (million)
% 23.53/4.09 % (1675476)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 23.53/4.09 % (1675476)ott+1002_16_sil=128000:si=on:random_seed=3111480190:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/409Mi)
% 23.53/4.09 % (1675478)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2798869993:s2a=on:i=381:rtra=on_2966 on theBenchmark for (2966ds/381Mi)
% 23.53/4.09 % (1675440)Instruction limit reached!
% 23.53/4.09 % (1675440)------------------------------
% 23.53/4.09 % (1675440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675440)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675440)Termination reason: Instruction limit
% 23.53/4.09 % (1675440)Termination phase: Saturation
% 23.53/4.09 % (1675440)Time elapsed: 0.560 s
% 23.53/4.09 % (1675440)Peak memory usage: 12 MB
% 23.53/4.09 % (1675440)Instructions burned: 857 (million)
% 23.53/4.09 % (1675482)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4219631229:cond=on:i=324:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/324Mi)
% 23.53/4.09 % (1675476)Instruction limit reached!
% 23.53/4.09 % (1675476)------------------------------
% 23.53/4.09 % (1675476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675476)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675476)Termination reason: Instruction limit
% 23.53/4.09 % (1675476)Termination phase: Saturation
% 23.53/4.09 % (1675476)Time elapsed: 0.230 s
% 23.53/4.09 % (1675476)Peak memory usage: 13 MB
% 23.53/4.09 % (1675476)Instructions burned: 410 (million)
% 23.53/4.09 % (1675484)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1581663763:i=240:kws=inv_precedence:rtra=on_2964 on theBenchmark for (2964ds/240Mi)
% 23.53/4.09 % (1675484)Refutation not found, incomplete strategy
% 23.53/4.09 % (1675484)------------------------------
% 23.53/4.09 % (1675484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675484)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675484)Termination reason: Refutation not found, incomplete strategy
% 23.53/4.09 % (1675484)Time elapsed: 0.002 s
% 23.53/4.09 % (1675484)Peak memory usage: 12 MB
% 23.53/4.09 % (1675484)Instructions burned: 1 (million)
% 23.53/4.09 % (1675484)------------------------------
% 23.53/4.09 % (1675484)------------------------------
% 23.53/4.09 % (1675486)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 23.53/4.09 % (1675486)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1407125819:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/124Mi)
% 23.53/4.09 % (1675478)Instruction limit reached!
% 23.53/4.09 % (1675478)------------------------------
% 23.53/4.09 % (1675478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675478)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675478)Termination reason: Instruction limit
% 23.53/4.09 % (1675478)Termination phase: Saturation
% 23.53/4.09 % (1675478)Time elapsed: 0.299 s
% 23.53/4.09 % (1675478)Peak memory usage: 12 MB
% 23.53/4.09 % (1675478)Instructions burned: 384 (million)
% 23.53/4.09 % (1675482)Instruction limit reached!
% 23.53/4.09 % (1675482)------------------------------
% 23.53/4.09 % (1675482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675482)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675482)Termination reason: Instruction limit
% 23.53/4.09 % (1675482)Termination phase: Saturation
% 23.53/4.09 % (1675482)Time elapsed: 0.214 s
% 23.53/4.09 % (1675482)Peak memory usage: 13 MB
% 23.53/4.09 % (1675482)Instructions burned: 324 (million)
% 23.53/4.09 % (1675489)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3648908932:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2963 on theBenchmark for (2963ds/223Mi)
% 23.53/4.09 % (1675486)Instruction limit reached!
% 23.53/4.09 % (1675486)------------------------------
% 23.53/4.09 % (1675486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675486)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675486)Termination reason: Instruction limit
% 23.53/4.09 % (1675486)Termination phase: Saturation
% 23.53/4.09 % (1675486)Time elapsed: 0.084 s
% 23.53/4.09 % (1675486)Peak memory usage: 12 MB
% 23.53/4.09 % (1675486)Instructions burned: 124 (million)
% 23.53/4.09 % (1675491)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2722553826:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2963 on theBenchmark for (2963ds/282Mi)
% 23.53/4.09 % (1675493)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=658043872:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/464Mi)
% 23.53/4.09 % (1675493)Refutation not found, incomplete strategy
% 23.53/4.09 % (1675493)------------------------------
% 23.53/4.09 % (1675493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675493)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675493)Termination reason: Refutation not found, incomplete strategy
% 23.53/4.09 % (1675493)Time elapsed: 0.002 s
% 23.53/4.09 % (1675493)Peak memory usage: 11 MB
% 23.53/4.09 % (1675493)Instructions burned: 1 (million)
% 23.53/4.09 % (1675493)------------------------------
% 23.53/4.09 % (1675493)------------------------------
% 23.53/4.09 % (1675489)Instruction limit reached!
% 23.53/4.09 % (1675489)------------------------------
% 23.53/4.09 % (1675489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.53/4.09 % (1675489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.53/4.09 % (1675489)CaDiCaL version: 2.1.3
% 23.53/4.09 % (1675489)Termination reason: Instruction limit
% 23.53/4.09 % (1675489)Termination phase: Saturation
% 23.53/4.09 % (1675489)Time elapsed: 0.084 s
% 23.53/4.09 % (1675489)Peak memory usage: 13 MB
% 23.53/4.09 % (1675489)Instructions burned: 226 (million)
% 23.53/4.09 % (1675496)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=778277695:i=88:s2at=3:nm=2:rtra=on:rawr=on_2962 on theBenchmark for (2962ds/88Mi)
% 23.53/4.09 % (1675462) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1675125-1675462"...
% 23.53/4.09 % (1675497)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4153052647:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2962 on theBenchmark for (2962ds/280Mi)
% 23.53/4.09 % (1675462)...printing done.
% 23.53/4.09 % (1675462)Refutation found. Thanks to Tanya!
% 23.53/4.09 % SZS status Unsatisfiable for theBenchmark
% 23.53/4.09 % SZS output start Proof for theBenchmark
% See solution above
% 27.06/4.13 % (1675462)------------------------------
% 27.06/4.13 % (1675462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.06/4.13 % (1675462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.06/4.13 % (1675462)CaDiCaL version: 2.1.3
% 27.06/4.13 % (1675462)Termination reason: Refutation
% 27.06/4.13 % (1675462)Time elapsed: 0.658 s
% 27.06/4.13 % (1675462)Peak memory usage: 16 MB
% 27.06/4.13 % (1675462)Instructions burned: 1400 (million)
% 27.06/4.13 % (1675125)Success in time 3.822 s
% 27.06/4.13 % Vampire exiting
%------------------------------------------------------------------------------