%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA106^1 : 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 07:53:33 AM UTC 2026
% Result : Unsatisfiable 36.63s 5.67s
% Output : Refutation 38.19s
% 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,
vIMP: $o > $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,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $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,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X1: $i,X3: $i,X2: $i,X0: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X3: $i,X1: $i,X2: $i,X0: $i,X4: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X3 @ X0 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X0 @ X2 ) ),
inference(rectify,[],[f5]) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f10,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) )
= inj ),
inference(rectify,[],[f1]) ).
thf(f12,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X2 @ X0 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X0 @ X4 ) ),
inference(rectify,[],[f6]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true ) ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(rectify,[],[f4]) ).
thf(f16,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f18,plain,
! [X1: $i,X2: $i,X0: $i,X3: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true ) ),
inference(flattening,[],[f8]) ).
thf(f19,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(flattening,[],[f10]) ).
thf(f20,plain,
! [X2: $i,X1: $i,X0: $i,X4: $i,X3: $i] :
( ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true ) ),
inference(flattening,[],[f14]) ).
thf(f21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( ( b @ X4 @ X1 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) ) ),
inference(rectify,[],[f18]) ).
thf(f23,plain,
( ( ( inj @ sK0 )
= $true )
& ( ( surj @ sK0 )
!= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
thf(f24,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f25,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X0 ) )
| ( ( b @ X4 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f27,plain,
( ( surj @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f23]) ).
thf(f28,plain,
( ( inj @ sK0 )
= $true ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f30,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f33,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 )
= $true ),
inference(definition_unfolding,[],[f28,f24]) ).
thf(f34,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 )
!= $true ),
inference(definition_unfolding,[],[f27,f30]) ).
thf(f35,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f36,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f35]) ).
thf(f37,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 )
= $false ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X1: $i] :
( ( sK0 @ X1 )
!= sK1 ),
inference(equality_proxy_clausification,[],[f39]) ).
thf(f41,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f42,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f43,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false )
| ( ( X2 = X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( ( X2 = X1 )
= $true ) ),
inference(equality_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f29,f40]) ).
thf(f50,plain,
! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f29,f40]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f29,f48]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f29]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f49]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X1 )
!= $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(f73,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f50]) ).
thf(f74,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f73]) ).
thf(f79,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f80,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f40]) ).
thf(f81,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( X0 = X1 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f89,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f74,f79]) ).
thf(f90,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f57,f79]) ).
thf(f91,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f79]) ).
thf(f92,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f91]) ).
thf(f93,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f94,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f89]) ).
thf(f96,definition,
( spl2_4
<=> ! [X1: $i] :
( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f97,plain,
( ! [X1: $i] :
( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f99,definition,
( spl2_5
<=> ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f100,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_5 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f102,definition,
( spl2_6
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f103,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f104,plain,
( spl2_4
| ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f93,f102,f99,f96]) ).
thf(f106,definition,
( spl2_7
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f107,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f108,plain,
( spl2_4
| ~ spl2_5
| spl2_7 ),
inference(avatar_split_clause,[],[f94,f106,f99,f96]) ).
thf(f117,definition,
( spl2_8
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f118,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f120,definition,
( spl2_9
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f121,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f123,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f97,f49]) ).
thf(f128,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f123]) ).
thf(f129,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f25,f128]) ).
thf(f130,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f129]) ).
thf(f132,definition,
( spl2_10
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f133,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f132]) ).
thf(f135,definition,
( spl2_11
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f136,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f135]) ).
thf(f137,plain,
( spl2_10
| spl2_11
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f130,f96,f135,f132]) ).
thf(f138,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f92,f79]) ).
thf(f139,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f92,f49]) ).
thf(f142,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f139]) ).
thf(f145,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f138]) ).
thf(f146,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f145]) ).
thf(f148,definition,
( spl2_12
<=> ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f149,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_12 ),
inference(avatar_component_clause,[],[f148]) ).
thf(f150,plain,
( spl2_1
| ~ spl2_12
| spl2_6 ),
inference(avatar_split_clause,[],[f142,f102,f148,f64]) ).
thf(f152,definition,
( spl2_13
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f153,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f152]) ).
thf(f155,definition,
( spl2_14
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f156,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_14 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f157,plain,
( spl2_4
| spl2_13
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f146,f155,f152,f96]) ).
thf(f158,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f25,f103]) ).
thf(f159,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f158]) ).
thf(f161,definition,
( spl2_15
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f162,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f161]) ).
thf(f163,plain,
( spl2_8
| spl2_15
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f159,f102,f161,f117]) ).
thf(f164,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7 ),
inference(constrained_superposition,[],[f25,f107]) ).
thf(f165,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_7 ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f166,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f118,f80]) ).
thf(f167,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f25,f80]) ).
thf(f168,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f167]) ).
thf(f169,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f166]) ).
thf(f171,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f169,f103]) ).
thf(f172,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f171]) ).
thf(f174,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f172,f169]) ).
thf(f175,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f74,f174]) ).
thf(f176,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f57,f174]) ).
thf(f177,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f26,f174]) ).
thf(f178,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f176]) ).
thf(f179,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f175]) ).
thf(f180,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f177]) ).
thf(f182,definition,
( spl2_16
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f183,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f185,definition,
( spl2_17
<=> ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f186,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f185]) ).
thf(f187,plain,
( spl2_16
| spl2_17
| ~ spl2_6
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f178,f117,f102,f185,f182]) ).
thf(f189,definition,
( spl2_18
<=> ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f190,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f189]) ).
thf(f191,plain,
( spl2_16
| spl2_18
| ~ spl2_6
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f179,f117,f102,f189,f182]) ).
thf(f192,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f183,f50]) ).
thf(f195,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f192]) ).
thf(f199,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= X1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ X1 ) ) ) )
| ~ spl2_16 ),
inference(constrained_superposition,[],[f195,f51]) ).
thf(f204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ X1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f199]) ).
thf(f206,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f180,f49]) ).
thf(f210,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f206]) ).
thf(f214,definition,
( spl2_19
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f215,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f214]) ).
thf(f216,plain,
( spl2_1
| ~ spl2_12
| spl2_19
| ~ spl2_6
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f210,f117,f102,f214,f148,f64]) ).
thf(f217,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_12 ),
inference(constrained_superposition,[],[f149,f49]) ).
thf(f220,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_12 ),
inference(trivial_inequality_removal,[],[f217]) ).
thf(f222,plain,
( spl2_17
| spl2_12 ),
inference(avatar_split_clause,[],[f220,f148,f185]) ).
thf(f279,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( b @ X3 @ X2 )
= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( X0 = X1 )
| ( X2 = X3 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f55,f29]) ).
thf(f284,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( $true != $true )
| ( ( r @ X2 @ sK1 )
!= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ X2 @ X1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(constrained_superposition,[],[f55,f50]) ).
thf(f285,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( X1 = X2 )
| ( ( r @ X2 @ sK1 )
!= $true )
| ( ( b @ X2 @ X1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f284]) ).
thf(f290,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X2 @ X0 )
!= $true )
| ( X2 = X3 )
| ( ( b @ X3 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f279]) ).
thf(f292,definition,
( spl2_21
<=> ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f293,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f292]) ).
thf(f295,definition,
( spl2_22
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ X2 @ X1 )
= $true )
| ( ( r @ X2 @ sK1 )
!= $true )
| ( X1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f296,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ sK1 )
!= $true )
| ( X1 = X2 )
| ( ( b @ X2 @ X1 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true ) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f295]) ).
thf(f297,plain,
( spl2_21
| spl2_22 ),
inference(avatar_split_clause,[],[f285,f295,f292]) ).
thf(f328,definition,
( spl2_23
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f329,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f328]) ).
thf(f331,definition,
( spl2_24
<=> ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f332,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f331]) ).
thf(f351,definition,
( spl2_25
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f352,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f351]) ).
thf(f369,definition,
( spl2_27
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f370,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f369]) ).
thf(f373,definition,
( spl2_28
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
thf(f374,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f373]) ).
thf(f376,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_10
| ~ spl2_21 ),
inference(constrained_superposition,[],[f133,f293]) ).
thf(f378,plain,
( ! [X0: $i,X1: $i] :
( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ~ spl2_10
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f376]) ).
thf(f381,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_6
| ~ spl2_10
| ~ spl2_21 ),
inference(constrained_superposition,[],[f378,f103]) ).
thf(f389,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_6
| ~ spl2_10
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f381]) ).
thf(f395,plain,
( $false
| ~ spl2_6
| ~ spl2_10
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f389,f378]) ).
thf(f396,plain,
( ~ spl2_6
| ~ spl2_10
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f395]) ).
thf(f398,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f65,f50]) ).
thf(f400,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f398]) ).
thf(f402,plain,
( spl2_21
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f400,f64,f292]) ).
thf(f408,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_8
| ~ spl2_17 ),
inference(constrained_superposition,[],[f118,f186]) ).
thf(f411,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_8
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f408]) ).
thf(f412,plain,
( spl2_24
| ~ spl2_8
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f411,f185,f117,f331]) ).
thf(f414,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f65,f29]) ).
thf(f416,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f414]) ).
thf(f417,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f25,f293]) ).
thf(f418,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f417]) ).
thf(f441,definition,
( spl2_29
<=> ! [X2: $i] :
( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
thf(f442,plain,
( ! [X2: $i] :
( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f441]) ).
thf(f462,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f25,f416]) ).
thf(f464,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f462]) ).
thf(f468,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f464,f416]) ).
thf(f471,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X1 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f468]) ).
thf(f524,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( sK1 = X1 )
| ( sK1 = X2 )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f471,f416]) ).
thf(f528,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( sK1 = X2 )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f524]) ).
thf(f540,definition,
( spl2_36
<=> ! [X2: $i,X1: $i] :
( ( sK1 = X2 )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).
thf(f541,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ sK1 )
!= $true )
| ( sK1 = X1 )
| ( sK1 = X2 )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f540]) ).
thf(f544,definition,
( spl2_37
<=> ! [X0: $i] : ( sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
thf(f545,plain,
( ! [X0: $i] : ( sK1 = X0 )
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f544]) ).
thf(f546,plain,
( spl2_37
| spl2_36
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f528,f64,f540,f544]) ).
thf(f622,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( X1 = X2 )
| ( $true != $true )
| ( X0 = X1 )
| ( X0 = X3 ) ),
inference(constrained_superposition,[],[f290,f29]) ).
thf(f628,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X1 )
!= $true )
| ( X1 = X2 )
| ( ( b @ X0 @ X3 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X3 )
| ( X0 = X1 )
| ( ( b @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f622]) ).
thf(f635,definition,
( spl2_40
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
thf(f636,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f635]) ).
thf(f711,definition,
( spl2_42
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
thf(f712,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f711]) ).
thf(f729,definition,
( spl2_44
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).
thf(f730,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f729]) ).
thf(f733,definition,
( spl2_45
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
thf(f734,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f733]) ).
thf(f754,definition,
( spl2_46
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
thf(f755,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f754]) ).
thf(f766,definition,
( spl2_49
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_49])],[avatar_definition]) ).
thf(f767,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ~ spl2_49 ),
inference(avatar_component_clause,[],[f766]) ).
thf(f770,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_49 ),
inference(constrained_superposition,[],[f767,f79]) ).
thf(f772,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_49 ),
inference(constrained_superposition,[],[f767,f49]) ).
thf(f773,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_49 ),
inference(constrained_superposition,[],[f767,f51]) ).
thf(f774,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_49 ),
inference(constrained_superposition,[],[f767,f29]) ).
thf(f775,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f773]) ).
thf(f776,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f770]) ).
thf(f777,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f772]) ).
thf(f779,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f774]) ).
thf(f780,plain,
( spl2_42
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f777,f766,f711]) ).
thf(f781,plain,
( spl2_46
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f779,f766,f754]) ).
thf(f784,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_1
| ~ spl2_24 ),
inference(constrained_superposition,[],[f332,f416]) ).
thf(f788,plain,
( ! [X0: $i] : ( sK1 = X0 )
| ~ spl2_1
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f784]) ).
thf(f790,plain,
( spl2_37
| ~ spl2_1
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f788,f331,f64,f544]) ).
thf(f792,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_42 ),
inference(constrained_superposition,[],[f169,f712]) ).
thf(f793,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_42 ),
inference(constrained_superposition,[],[f418,f712]) ).
thf(f797,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f792]) ).
thf(f799,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_21
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f793]) ).
thf(f803,plain,
( spl2_24
| spl2_44
| ~ spl2_21
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f799,f711,f292,f729,f331]) ).
thf(f897,plain,
( ( sK1 != sK1 )
| ~ spl2_37 ),
inference(constrained_superposition,[],[f40,f545]) ).
thf(f989,plain,
( $false
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f897]) ).
thf(f990,plain,
~ spl2_37,
inference(avatar_contradiction_clause,[],[f989]) ).
thf(f998,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f148]) ).
thf(f1002,definition,
( spl2_51
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).
thf(f1003,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl2_51 ),
inference(avatar_component_clause,[],[f1002]) ).
thf(f1005,definition,
( spl2_52
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_52])],[avatar_definition]) ).
thf(f1006,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_52 ),
inference(avatar_component_clause,[],[f1005]) ).
thf(f1059,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f442,f80]) ).
thf(f1060,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f1059]) ).
thf(f1063,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f290,f998]) ).
thf(f1065,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f26,f998]) ).
thf(f1067,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f1065]) ).
thf(f1070,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f1063]) ).
thf(f1110,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_44 ),
inference(constrained_superposition,[],[f730,f81]) ).
thf(f1116,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f1110]) ).
thf(f1120,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_21
| ~ spl2_44 ),
inference(forward_subsumption_resolution,[],[f1116,f293]) ).
thf(f1127,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_46 ),
inference(constrained_superposition,[],[f25,f755]) ).
thf(f1147,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f1127]) ).
thf(f1156,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X3 )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X3 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_46 ),
inference(constrained_superposition,[],[f1147,f81]) ).
thf(f1158,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_42
| ~ spl2_46 ),
inference(constrained_superposition,[],[f1147,f712]) ).
thf(f1162,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl2_42
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f1158]) ).
thf(f1171,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X3 )
| ( ( b @ X3 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X3 )
!= $true ) )
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f1156]) ).
thf(f1172,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X3 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X3 ) )
| ~ spl2_46
| ~ spl2_49 ),
inference(forward_subsumption_resolution,[],[f1171,f767]) ).
thf(f1211,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_49 ),
inference(constrained_superposition,[],[f25,f775]) ).
thf(f1213,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f1211]) ).
thf(f2329,definition,
( spl2_59
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f2330,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f2329]) ).
thf(f2355,definition,
( spl2_63
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_63])],[avatar_definition]) ).
thf(f2356,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_63 ),
inference(avatar_component_clause,[],[f2355]) ).
thf(f2362,definition,
( spl2_65
<=> ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).
thf(f2363,plain,
( ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ~ spl2_65 ),
inference(avatar_component_clause,[],[f2362]) ).
thf(f2374,definition,
( spl2_68
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_68])],[avatar_definition]) ).
thf(f2375,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_68 ),
inference(avatar_component_clause,[],[f2374]) ).
thf(f2487,definition,
( spl2_69
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_69])],[avatar_definition]) ).
thf(f2488,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_69 ),
inference(avatar_component_clause,[],[f2487]) ).
thf(f2507,definition,
( spl2_71
<=> ! [X1: $i] :
( ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_71])],[avatar_definition]) ).
thf(f2508,plain,
( ! [X1: $i] :
( ( $true
= ( b @ sK1 @ X1 ) )
| ( sK1 = X1 ) )
| ~ spl2_71 ),
inference(avatar_component_clause,[],[f2507]) ).
thf(f2513,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true ) )
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f1070,f442]) ).
thf(f2515,definition,
( spl2_73
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X1 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_73])],[avatar_definition]) ).
thf(f2516,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_73 ),
inference(avatar_component_clause,[],[f2515]) ).
thf(f2517,plain,
( spl2_71
| spl2_73
| ~ spl2_12
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f2513,f441,f148,f2515,f2507]) ).
thf(f2549,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f65,f29]) ).
thf(f2551,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f2549]) ).
thf(f2552,plain,
( spl2_71
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f2551,f64,f2507]) ).
thf(f2555,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_21
| ~ spl2_44
| ~ spl2_65 ),
inference(constrained_superposition,[],[f2363,f1120]) ).
thf(f2561,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_21
| ~ spl2_44
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f2555]) ).
thf(f2566,plain,
( $false
| ~ spl2_21
| ~ spl2_44
| ~ spl2_65 ),
inference(forward_subsumption_resolution,[],[f2561,f40]) ).
thf(f2567,plain,
( ~ spl2_21
| ~ spl2_44
| ~ spl2_65 ),
inference(avatar_contradiction_clause,[],[f2566]) ).
thf(f2605,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_42
| ~ spl2_49 ),
inference(constrained_superposition,[],[f1213,f712]) ).
thf(f2615,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_42
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f2605]) ).
thf(f2646,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_71 ),
inference(constrained_superposition,[],[f25,f2508]) ).
thf(f2650,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f2646]) ).
thf(f2652,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( sK1 = X1 )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_71 ),
inference(constrained_superposition,[],[f2650,f293]) ).
thf(f2656,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_21
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f2652]) ).
thf(f2668,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_21
| ~ spl2_46
| ~ spl2_71 ),
inference(constrained_superposition,[],[f2656,f755]) ).
thf(f2676,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_21
| ~ spl2_46
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f2668]) ).
thf(f2954,definition,
( spl2_79
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).
thf(f2955,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_79 ),
inference(avatar_component_clause,[],[f2954]) ).
thf(f2992,definition,
( spl2_87
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_87])],[avatar_definition]) ).
thf(f2993,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_87 ),
inference(avatar_component_clause,[],[f2992]) ).
thf(f3164,definition,
( spl2_123
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).
thf(f3165,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_123 ),
inference(avatar_component_clause,[],[f3164]) ).
thf(f3319,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_49 ),
inference(constrained_superposition,[],[f1213,f776]) ).
thf(f3326,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_49 ),
inference(constrained_superposition,[],[f25,f776]) ).
thf(f3327,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f3326]) ).
thf(f3333,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f3319]) ).
thf(f3489,definition,
( spl2_151
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_151])],[avatar_definition]) ).
thf(f3490,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_151 ),
inference(avatar_component_clause,[],[f3489]) ).
thf(f3765,plain,
( spl2_123
| ~ spl2_21
| ~ spl2_46
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f2676,f2507,f754,f292,f3164]) ).
thf(f3949,definition,
( spl2_159
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_159])],[avatar_definition]) ).
thf(f3950,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_159 ),
inference(avatar_component_clause,[],[f3949]) ).
thf(f4418,definition,
( spl2_162
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
thf(f4419,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_162 ),
inference(avatar_component_clause,[],[f4418]) ).
thf(f4434,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_5 ),
inference(constrained_superposition,[],[f100,f50]) ).
thf(f4437,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_5 ),
inference(trivial_inequality_removal,[],[f4434]) ).
thf(f4439,plain,
( spl2_18
| spl2_5 ),
inference(avatar_split_clause,[],[f4437,f99,f189]) ).
thf(f4446,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_73 ),
inference(constrained_superposition,[],[f2516,f29]) ).
thf(f4449,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_73 ),
inference(trivial_inequality_removal,[],[f4446]) ).
thf(f4450,plain,
( ( $true != $true )
| ~ spl2_19
| spl2_68 ),
inference(constrained_superposition,[],[f2375,f215]) ).
thf(f4460,plain,
( $false
| ~ spl2_19
| spl2_68 ),
inference(trivial_inequality_removal,[],[f4450]) ).
thf(f4461,plain,
( ~ spl2_19
| spl2_68 ),
inference(avatar_contradiction_clause,[],[f4460]) ).
thf(f4509,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_10
| ~ spl2_162 ),
inference(constrained_superposition,[],[f133,f4419]) ).
thf(f4512,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_10
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f4509]) ).
thf(f4522,plain,
( ( $true != $true )
| ~ spl2_10
| ~ spl2_42
| ~ spl2_162 ),
inference(constrained_superposition,[],[f4512,f712]) ).
thf(f4529,plain,
( $false
| ~ spl2_10
| ~ spl2_42
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f4522]) ).
thf(f4530,plain,
( ~ spl2_10
| ~ spl2_42
| ~ spl2_162 ),
inference(avatar_contradiction_clause,[],[f4529]) ).
thf(f4558,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f374,f51]) ).
thf(f4563,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f4558]) ).
thf(f4567,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f1067,f51]) ).
thf(f4573,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f4567]) ).
thf(f4575,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f4573,f442]) ).
thf(f4580,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_12
| ~ spl2_29 ),
inference(constrained_superposition,[],[f4575,f50]) ).
thf(f4582,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_12
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f4580]) ).
thf(f4601,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_27 ),
inference(constrained_superposition,[],[f370,f29]) ).
thf(f4604,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f4601]) ).
thf(f4617,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_12
| ~ spl2_29 ),
inference(constrained_superposition,[],[f4582,f49]) ).
thf(f4621,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_12
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f4617]) ).
thf(f4626,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_29 ),
inference(constrained_superposition,[],[f133,f4621]) ).
thf(f4629,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f4626]) ).
thf(f4699,definition,
( spl2_166
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_166])],[avatar_definition]) ).
thf(f4700,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_166 ),
inference(avatar_component_clause,[],[f4699]) ).
thf(f4702,definition,
( spl2_167
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_167])],[avatar_definition]) ).
thf(f4703,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_167 ),
inference(avatar_component_clause,[],[f4702]) ).
thf(f4711,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f92,f4700]) ).
thf(f4712,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_6
| ~ spl2_166 ),
inference(constrained_superposition,[],[f103,f4700]) ).
thf(f4753,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_166 ),
inference(duplicate_literal_removal,[],[f4711]) ).
thf(f4761,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_29
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f4753,f442]) ).
thf(f4767,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_29
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f4712,f442]) ).
thf(f4770,plain,
( spl2_51
| ~ spl2_29
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f4761,f4699,f441,f1002]) ).
thf(f4773,plain,
( $false
| ~ spl2_6
| ~ spl2_29
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f4767,f442]) ).
thf(f4774,plain,
( ~ spl2_6
| ~ spl2_29
| ~ spl2_166 ),
inference(avatar_contradiction_clause,[],[f4773]) ).
thf(f4931,definition,
( spl2_170
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_170])],[avatar_definition]) ).
thf(f4932,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_170 ),
inference(avatar_component_clause,[],[f4931]) ).
thf(f4988,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_22 ),
inference(extensionality_resolution,[],[f296,f48]) ).
thf(f5326,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_12
| ~ spl2_22 ),
inference(constrained_superposition,[],[f4988,f998]) ).
thf(f5329,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_12
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f5326]) ).
thf(f5339,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_12
| ~ spl2_22 ),
inference(constrained_superposition,[],[f5329,f49]) ).
thf(f5342,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_12
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f5339]) ).
thf(f5344,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_10
| ~ spl2_12
| ~ spl2_22
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f5342,f4629]) ).
thf(f5346,plain,
( spl2_87
| ~ spl2_10
| ~ spl2_12
| ~ spl2_22
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f5344,f441,f295,f148,f132,f2992]) ).
thf(f5438,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ sK1 )
= $true )
| ( sK1 = X1 )
| ( sK1 = X2 )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( sK0 @ X0 )
= X2 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ X2 @ ( sK0 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f628,f49]) ).
thf(f5445,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= X2 )
| ( sK1 = X2 )
| ( ( b @ X2 @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f5438]) ).
thf(f5645,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_162 ),
inference(avatar_component_clause,[],[f4418]) ).
thf(f6022,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_69 ),
inference(avatar_component_clause,[],[f2487]) ).
thf(f6051,definition,
( spl2_181
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).
thf(f6052,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_181 ),
inference(avatar_component_clause,[],[f6051]) ).
thf(f6077,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_69 ),
inference(extensionality_resolution,[],[f51,f6022]) ).
thf(f6082,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_49
| spl2_69 ),
inference(forward_subsumption_resolution,[],[f6077,f767]) ).
thf(f6084,definition,
( spl2_184
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f6085,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f6084]) ).
thf(f6087,definition,
( spl2_185
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
thf(f6088,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f6087]) ).
thf(f6091,definition,
( spl2_186
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f6092,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f6091]) ).
thf(f6095,definition,
( spl2_187
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_187])],[avatar_definition]) ).
thf(f6096,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_187 ),
inference(avatar_component_clause,[],[f6095]) ).
thf(f6098,definition,
( spl2_188
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_188])],[avatar_definition]) ).
thf(f6099,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_188 ),
inference(avatar_component_clause,[],[f6098]) ).
thf(f6138,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_29
| ~ spl2_181 ),
inference(constrained_superposition,[],[f4582,f6052]) ).
thf(f6149,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_29
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f6138]) ).
thf(f6159,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_12
| ~ spl2_29
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f6149,f40]) ).
thf(f6160,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_170 ),
inference(avatar_component_clause,[],[f4931]) ).
thf(f6164,plain,
( spl2_170
| ~ spl2_12
| ~ spl2_29
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f6159,f6051,f441,f148,f4931]) ).
thf(f6195,definition,
( spl2_191
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).
thf(f6196,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_191 ),
inference(avatar_component_clause,[],[f6195]) ).
thf(f6323,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_49
| spl2_69 ),
inference(constrained_superposition,[],[f25,f6082]) ).
thf(f6325,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_49
| spl2_69 ),
inference(trivial_inequality_removal,[],[f6323]) ).
thf(f6334,definition,
( spl2_192
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_192])],[avatar_definition]) ).
thf(f6335,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_192 ),
inference(avatar_component_clause,[],[f6334]) ).
thf(f6336,plain,
( spl2_191
| spl2_192
| ~ spl2_49
| spl2_69 ),
inference(avatar_split_clause,[],[f6325,f2487,f766,f6334,f6195]) ).
thf(f6342,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_186 ),
inference(constrained_superposition,[],[f730,f6092]) ).
thf(f6357,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f6342]) ).
thf(f6359,definition,
( spl2_193
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_193])],[avatar_definition]) ).
thf(f6360,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_193 ),
inference(avatar_component_clause,[],[f6359]) ).
thf(f6381,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_42
| ~ spl2_63 ),
inference(constrained_superposition,[],[f2356,f712]) ).
thf(f6412,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_42
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f6381]) ).
thf(f6433,definition,
( spl2_194
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_194])],[avatar_definition]) ).
thf(f6434,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X1 @ sK1 )
= $true ) )
| ~ spl2_194 ),
inference(avatar_component_clause,[],[f6433]) ).
thf(f6436,plain,
( spl2_24
| ~ spl2_42
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f6412,f2355,f711,f331]) ).
thf(f6905,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_19
| ~ spl2_191 ),
inference(constrained_superposition,[],[f6196,f215]) ).
thf(f6906,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_87
| ~ spl2_191 ),
inference(constrained_superposition,[],[f6196,f2993]) ).
thf(f6914,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true ) )
| ~ spl2_73
| ~ spl2_191 ),
inference(constrained_superposition,[],[f6196,f4449]) ).
thf(f6916,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 ) )
| ~ spl2_73
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f6914]) ).
thf(f6918,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_87
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f6906]) ).
thf(f6939,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_19
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f6905]) ).
thf(f6941,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_73
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f6916,f40]) ).
thf(f6943,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_87
| ~ spl2_191 ),
inference(forward_subsumption_resolution,[],[f6918,f40]) ).
thf(f6946,definition,
( spl2_201
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).
thf(f6947,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X1 ) )
| ~ spl2_201 ),
inference(avatar_component_clause,[],[f6946]) ).
thf(f6961,plain,
( spl2_24
| ~ spl2_19
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f6939,f6195,f214,f331]) ).
thf(f6962,plain,
( spl2_166
| spl2_24
| ~ spl2_73
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f6941,f6195,f2515,f331,f4699]) ).
thf(f6964,plain,
( spl2_24
| ~ spl2_87
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f6943,f6195,f2992,f331]) ).
thf(f6969,definition,
( spl2_203
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_203])],[avatar_definition]) ).
thf(f6970,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_203 ),
inference(avatar_component_clause,[],[f6969]) ).
thf(f6987,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_16
| ~ spl2_184 ),
inference(constrained_superposition,[],[f195,f6085]) ).
thf(f6990,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_12
| ~ spl2_29
| ~ spl2_184 ),
inference(constrained_superposition,[],[f4582,f6085]) ).
thf(f7003,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_16
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f6987]) ).
thf(f7009,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_12
| ~ spl2_29
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f6990]) ).
thf(f7013,definition,
( spl2_206
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_206])],[avatar_definition]) ).
thf(f7014,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_206 ),
inference(avatar_component_clause,[],[f7013]) ).
thf(f7016,definition,
( spl2_207
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_207])],[avatar_definition]) ).
thf(f7017,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_207 ),
inference(avatar_component_clause,[],[f7016]) ).
thf(f7020,plain,
( spl2_206
| ~ spl2_16
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f7003,f6084,f182,f7013]) ).
thf(f7023,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_12
| ~ spl2_29
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f7009,f40]) ).
thf(f7025,definition,
( spl2_208
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_208])],[avatar_definition]) ).
thf(f7026,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_208 ),
inference(avatar_component_clause,[],[f7025]) ).
thf(f7032,plain,
( spl2_206
| ~ spl2_12
| ~ spl2_29
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f7023,f6084,f441,f148,f7013]) ).
thf(f7039,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_65 ),
inference(constrained_superposition,[],[f2363,f79]) ).
thf(f7045,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f7039]) ).
thf(f7047,plain,
( spl2_159
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f7045,f2362,f3949]) ).
thf(f7089,definition,
( spl2_210
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_210])],[avatar_definition]) ).
thf(f7090,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_210 ),
inference(avatar_component_clause,[],[f7089]) ).
thf(f7092,definition,
( spl2_211
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_211])],[avatar_definition]) ).
thf(f7093,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_211 ),
inference(avatar_component_clause,[],[f7092]) ).
thf(f7211,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_46
| ~ spl2_49
| ~ spl2_185 ),
inference(constrained_superposition,[],[f1172,f6088]) ).
thf(f7223,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_46
| ~ spl2_49
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f7211]) ).
thf(f7227,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_46
| ~ spl2_49
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f7223,f40]) ).
thf(f7229,definition,
( spl2_212
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_212])],[avatar_definition]) ).
thf(f7230,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_212 ),
inference(avatar_component_clause,[],[f7229]) ).
thf(f7232,plain,
( spl2_191
| spl2_59
| ~ spl2_46
| ~ spl2_49
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f7227,f6087,f766,f754,f2329,f6195]) ).
thf(f7234,plain,
( ( $true != $true )
| ~ spl2_18
| ~ spl2_24 ),
inference(constrained_superposition,[],[f332,f190]) ).
thf(f7239,plain,
( $false
| ~ spl2_18
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f7234]) ).
thf(f7240,plain,
( ~ spl2_18
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f7239]) ).
thf(f7914,definition,
( spl2_215
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_215])],[avatar_definition]) ).
thf(f7915,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_215 ),
inference(avatar_component_clause,[],[f7914]) ).
thf(f7928,definition,
( spl2_218
<=> ! [X0: $i] :
( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_218])],[avatar_definition]) ).
thf(f7929,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_218 ),
inference(avatar_component_clause,[],[f7928]) ).
thf(f7946,plain,
( spl2_215
| ~ spl2_8
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f797,f711,f117,f7914]) ).
thf(f7951,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_18 ),
inference(avatar_component_clause,[],[f189]) ).
thf(f7954,plain,
( spl2_218
| ~ spl2_29 ),
inference(avatar_split_clause,[],[f1060,f441,f7928]) ).
thf(f7957,definition,
( spl2_220
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X2 @ sK1 )
= $true )
| ( sK1 = X2 )
| ( ( sK0 @ X0 )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_220])],[avatar_definition]) ).
thf(f7958,plain,
( ! [X2: $i,X0: $i] :
( ( $true
= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( ( b @ X2 @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X2 )
| ( ( sK0 @ X0 )
= X2 ) )
| ~ spl2_220 ),
inference(avatar_component_clause,[],[f7957]) ).
thf(f7959,plain,
( spl2_220
| spl2_71 ),
inference(avatar_split_clause,[],[f5445,f2507,f7957]) ).
thf(f7974,plain,
( ( $true != $true )
| ~ spl2_21
| spl2_162 ),
inference(constrained_superposition,[],[f5645,f293]) ).
thf(f7975,plain,
( ( $true != $true )
| ~ spl2_21
| spl2_170 ),
inference(constrained_superposition,[],[f4932,f293]) ).
thf(f7978,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_42
| ~ spl2_46 ),
inference(constrained_superposition,[],[f1162,f293]) ).
thf(f7980,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f25,f293]) ).
thf(f7983,plain,
( $false
| ~ spl2_21
| spl2_170 ),
inference(trivial_inequality_removal,[],[f7975]) ).
thf(f7984,plain,
( ~ spl2_21
| spl2_170 ),
inference(avatar_contradiction_clause,[],[f7983]) ).
thf(f7985,plain,
( $false
| ~ spl2_21
| spl2_162 ),
inference(trivial_inequality_removal,[],[f7974]) ).
thf(f7986,plain,
( ~ spl2_21
| spl2_162 ),
inference(avatar_contradiction_clause,[],[f7985]) ).
thf(f7988,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_42
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f7978]) ).
thf(f7989,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f7980]) ).
thf(f7995,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_21
| ~ spl2_42
| ~ spl2_49 ),
inference(forward_subsumption_resolution,[],[f2615,f293]) ).
thf(f7996,plain,
( $false
| ~ spl2_21
| ~ spl2_44
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f6357,f293]) ).
thf(f7997,plain,
( ~ spl2_21
| ~ spl2_44
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f7996]) ).
thf(f8019,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_218 ),
inference(constrained_superposition,[],[f26,f7929]) ).
thf(f8022,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f8019]) ).
thf(f8041,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_42
| ~ spl2_203 ),
inference(constrained_superposition,[],[f6970,f712]) ).
thf(f8048,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_42
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f8041]) ).
thf(f8062,plain,
( $false
| ~ spl2_42
| spl2_69
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f8048,f6022]) ).
thf(f8063,plain,
( ~ spl2_42
| spl2_69
| ~ spl2_203 ),
inference(avatar_contradiction_clause,[],[f8062]) ).
thf(f8104,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_46 ),
inference(constrained_superposition,[],[f734,f755]) ).
thf(f8109,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) )
| ~ spl2_45 ),
inference(constrained_superposition,[],[f734,f81]) ).
thf(f8111,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_49 ),
inference(constrained_superposition,[],[f734,f776]) ).
thf(f8123,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_45
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f8111]) ).
thf(f8126,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_45
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f8104]) ).
thf(f8127,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) )
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f8109]) ).
thf(f8132,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_45
| ~ spl2_49 ),
inference(forward_subsumption_resolution,[],[f8127,f767]) ).
thf(f8157,definition,
( spl2_221
<=> ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_221])],[avatar_definition]) ).
thf(f8158,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_221 ),
inference(avatar_component_clause,[],[f8157]) ).
thf(f8216,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_49
| ~ spl2_166 ),
inference(constrained_superposition,[],[f8132,f4700]) ).
thf(f8223,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_42
| ~ spl2_45
| ~ spl2_49
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f8216,f712]) ).
thf(f8228,plain,
( $false
| ~ spl2_42
| ~ spl2_45
| ~ spl2_49
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f8223,f40]) ).
thf(f8229,plain,
( ~ spl2_42
| ~ spl2_45
| ~ spl2_49
| ~ spl2_166 ),
inference(avatar_contradiction_clause,[],[f8228]) ).
thf(f8251,plain,
( ( $true != $true )
| ~ spl2_13
| ~ spl2_221 ),
inference(constrained_superposition,[],[f8158,f153]) ).
thf(f8258,plain,
( $false
| ~ spl2_13
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f8251]) ).
thf(f8259,plain,
( ~ spl2_13
| ~ spl2_221 ),
inference(avatar_contradiction_clause,[],[f8258]) ).
thf(f8270,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f1003,f51]) ).
thf(f8274,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f8270]) ).
thf(f8278,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true ) )
| ~ spl2_29
| ~ spl2_51 ),
inference(forward_subsumption_resolution,[],[f8274,f442]) ).
thf(f8280,plain,
( spl2_79
| ~ spl2_29
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f8278,f1002,f441,f2954]) ).
thf(f8294,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f2955,f49]) ).
thf(f8301,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f8294]) ).
thf(f8307,plain,
( spl2_87
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f8301,f2954,f2992]) ).
thf(f8351,definition,
( spl2_222
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_222])],[avatar_definition]) ).
thf(f8352,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_222 ),
inference(avatar_component_clause,[],[f8351]) ).
thf(f8392,definition,
( spl2_225
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f8393,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f8392]) ).
thf(f8400,plain,
( $false
| ~ spl2_187
| ~ spl2_221 ),
inference(forward_subsumption_resolution,[],[f6096,f8158]) ).
thf(f8401,plain,
( ~ spl2_187
| ~ spl2_221 ),
inference(avatar_contradiction_clause,[],[f8400]) ).
thf(f8410,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_16
| ~ spl2_191 ),
inference(constrained_superposition,[],[f6196,f204]) ).
thf(f8414,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_191 ),
inference(constrained_superposition,[],[f6196,f107]) ).
thf(f8420,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_16
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f8410]) ).
thf(f8425,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f8414]) ).
thf(f8453,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_16
| ~ spl2_188 ),
inference(constrained_superposition,[],[f195,f6099]) ).
thf(f8459,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f26,f6099]) ).
thf(f8464,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f8459]) ).
thf(f8467,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_16
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f8453]) ).
thf(f8482,definition,
( spl2_228
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_228])],[avatar_definition]) ).
thf(f8483,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_228 ),
inference(avatar_component_clause,[],[f8482]) ).
thf(f8486,plain,
( ( $true != $true )
| ~ spl2_184
| ~ spl2_228 ),
inference(constrained_superposition,[],[f8483,f6085]) ).
thf(f8489,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f8483,f29]) ).
thf(f8490,plain,
( $false
| ~ spl2_184
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f8486]) ).
thf(f8491,plain,
( ~ spl2_184
| ~ spl2_228 ),
inference(avatar_contradiction_clause,[],[f8490]) ).
thf(f8495,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f8489]) ).
thf(f8496,plain,
( spl2_222
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f8495,f8482,f8351]) ).
thf(f8497,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_159
| ~ spl2_191 ),
inference(constrained_superposition,[],[f6196,f3950]) ).
thf(f8500,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_21
| ~ spl2_42
| ~ spl2_49
| ~ spl2_159 ),
inference(constrained_superposition,[],[f7995,f3950]) ).
thf(f8502,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_159
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f8497]) ).
thf(f8504,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_21
| ~ spl2_42
| ~ spl2_49
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f8500]) ).
thf(f8541,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_208
| ~ spl2_210 ),
inference(constrained_superposition,[],[f7090,f7026]) ).
thf(f8542,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_210 ),
inference(constrained_superposition,[],[f7090,f107]) ).
thf(f8552,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f8542]) ).
thf(f8554,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_208
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f8541]) ).
thf(f8561,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_42
| ~ spl2_46
| ~ spl2_208 ),
inference(constrained_superposition,[],[f7988,f7026]) ).
thf(f8573,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_42
| ~ spl2_46
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f8561]) ).
thf(f8628,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_184
| ~ spl2_218 ),
inference(constrained_superposition,[],[f8022,f6085]) ).
thf(f8629,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_188
| ~ spl2_218 ),
inference(constrained_superposition,[],[f8022,f6099]) ).
thf(f8635,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_184
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f8628]) ).
thf(f8638,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_188
| ~ spl2_218 ),
inference(trivial_inequality_removal,[],[f8629]) ).
thf(f8640,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_184
| ~ spl2_218 ),
inference(forward_subsumption_resolution,[],[f8635,f7929]) ).
thf(f8641,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_188
| ~ spl2_218 ),
inference(forward_subsumption_resolution,[],[f8638,f7929]) ).
thf(f8642,plain,
( spl2_65
| ~ spl2_184
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f8640,f7928,f6084,f2362]) ).
thf(f8643,plain,
( spl2_228
| ~ spl2_188
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f8641,f7928,f6098,f8482]) ).
thf(f8645,plain,
( spl2_29
| ~ spl2_159
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f8502,f6195,f3949,f441]) ).
thf(f8647,plain,
( spl2_29
| spl2_211
| ~ spl2_21
| ~ spl2_42
| ~ spl2_46
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f8573,f7025,f754,f711,f292,f7092,f441]) ).
thf(f8648,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_21
| ~ spl2_42
| ~ spl2_49
| spl2_69
| ~ spl2_159 ),
inference(forward_subsumption_resolution,[],[f8504,f6022]) ).
thf(f8649,plain,
( spl2_29
| ~ spl2_208
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f8554,f7089,f7025,f441]) ).
thf(f8651,plain,
( spl2_29
| ~ spl2_21
| ~ spl2_42
| ~ spl2_49
| spl2_69
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f8648,f3949,f2487,f766,f711,f292,f441]) ).
thf(f8653,definition,
( spl2_229
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_229])],[avatar_definition]) ).
thf(f8654,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_229 ),
inference(avatar_component_clause,[],[f8653]) ).
thf(f8657,definition,
( spl2_230
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_230])],[avatar_definition]) ).
thf(f8658,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_230 ),
inference(avatar_component_clause,[],[f8657]) ).
thf(f8660,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_230 ),
inference(constrained_superposition,[],[f8658,f51]) ).
thf(f8662,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_230 ),
inference(trivial_inequality_removal,[],[f8660]) ).
thf(f8664,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_230 ),
inference(forward_subsumption_resolution,[],[f8662,f40]) ).
thf(f8666,definition,
( spl2_231
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_231])],[avatar_definition]) ).
thf(f8667,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_231 ),
inference(avatar_component_clause,[],[f8666]) ).
thf(f8669,plain,
( spl2_231
| spl2_230 ),
inference(avatar_split_clause,[],[f8664,f8657,f8666]) ).
thf(f8695,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| spl2_229 ),
inference(constrained_superposition,[],[f8654,f51]) ).
thf(f8698,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_229 ),
inference(trivial_inequality_removal,[],[f8695]) ).
thf(f8700,definition,
( spl2_232
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f8701,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f8700]) ).
thf(f8703,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_229 ),
inference(forward_subsumption_resolution,[],[f8698,f40]) ).
thf(f8704,plain,
( spl2_232
| spl2_229 ),
inference(avatar_split_clause,[],[f8703,f8653,f8700]) ).
thf(f8789,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f7989,f80]) ).
thf(f8804,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f8789]) ).
thf(f8826,definition,
( spl2_233
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_233])],[avatar_definition]) ).
thf(f8827,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_233 ),
inference(avatar_component_clause,[],[f8826]) ).
thf(f8832,definition,
( spl2_234
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_234])],[avatar_definition]) ).
thf(f8833,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_234 ),
inference(avatar_component_clause,[],[f8832]) ).
thf(f8849,plain,
( ( $true != $true )
| ~ spl2_4
| ~ spl2_215 ),
inference(constrained_superposition,[],[f97,f7915]) ).
thf(f8852,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f97,f29]) ).
thf(f8855,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f8852]) ).
thf(f8856,plain,
( $false
| ~ spl2_4
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f8849]) ).
thf(f8857,plain,
( ~ spl2_4
| ~ spl2_215 ),
inference(avatar_contradiction_clause,[],[f8856]) ).
thf(f8860,plain,
( spl2_40
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f8855,f96,f635]) ).
thf(f8863,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f8483,f79]) ).
thf(f8867,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f8863]) ).
thf(f8871,plain,
( spl2_208
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f8867,f8482,f7025]) ).
thf(f8878,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_8
| ~ spl2_232 ),
inference(constrained_superposition,[],[f118,f8701]) ).
thf(f8887,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_8
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f8878]) ).
thf(f8892,definition,
( spl2_235
<=> ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_235])],[avatar_definition]) ).
thf(f8893,plain,
( ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ~ spl2_235 ),
inference(avatar_component_clause,[],[f8892]) ).
thf(f8895,plain,
( spl2_235
| ~ spl2_8
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f8887,f8700,f117,f8892]) ).
thf(f8911,plain,
( $false
| ~ spl2_185
| ~ spl2_235 ),
inference(forward_subsumption_resolution,[],[f6088,f8893]) ).
thf(f8912,plain,
( ~ spl2_185
| ~ spl2_235 ),
inference(avatar_contradiction_clause,[],[f8911]) ).
thf(f8917,definition,
( spl2_236
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_236])],[avatar_definition]) ).
thf(f8918,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_236 ),
inference(avatar_component_clause,[],[f8917]) ).
thf(f8919,plain,
( spl2_236
| spl2_8
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f3327,f766,f117,f8917]) ).
thf(f8921,definition,
( spl2_237
<=> ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_237])],[avatar_definition]) ).
thf(f8922,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_237 ),
inference(avatar_component_clause,[],[f8921]) ).
thf(f8923,plain,
( spl2_9
| spl2_237
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f8804,f292,f8921,f120]) ).
thf(f8930,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_9
| ~ spl2_49 ),
inference(constrained_superposition,[],[f121,f775]) ).
thf(f8936,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f8930]) ).
thf(f8941,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_49 ),
inference(forward_subsumption_resolution,[],[f8936,f40]) ).
thf(f8950,plain,
( spl2_170
| spl2_29
| ~ spl2_7
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f8425,f6195,f106,f441,f4931]) ).
thf(f8965,plain,
( $false
| ~ spl2_17
| ~ spl2_45
| ~ spl2_49 ),
inference(forward_subsumption_resolution,[],[f186,f8123]) ).
thf(f8966,plain,
( ~ spl2_17
| ~ spl2_45
| ~ spl2_49 ),
inference(avatar_contradiction_clause,[],[f8965]) ).
thf(f8975,definition,
( spl2_241
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_241])],[avatar_definition]) ).
thf(f8976,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_241 ),
inference(avatar_component_clause,[],[f8975]) ).
thf(f8979,plain,
( ~ spl2_162
| ~ spl2_9
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f8941,f766,f120,f4418]) ).
thf(f8980,plain,
( spl2_203
| spl2_170
| ~ spl2_16
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f8420,f6195,f182,f4931,f6969]) ).
thf(f8981,plain,
( spl2_170
| ~ spl2_16
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f8467,f6098,f182,f4931]) ).
thf(f8990,plain,
( spl2_241
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f3333,f766,f8975]) ).
thf(f8991,plain,
( spl2_206
| spl2_29
| ~ spl2_7
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f8552,f7089,f106,f441,f7013]) ).
thf(f8994,definition,
( spl2_242
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_242])],[avatar_definition]) ).
thf(f8995,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_242 ),
inference(avatar_component_clause,[],[f8994]) ).
thf(f8996,plain,
( spl2_8
| spl2_242
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f165,f106,f8994,f117]) ).
thf(f8998,definition,
( spl2_243
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_243])],[avatar_definition]) ).
thf(f8999,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_243 ),
inference(avatar_component_clause,[],[f8998]) ).
thf(f9011,definition,
( spl2_245
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).
thf(f9012,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_245 ),
inference(avatar_component_clause,[],[f9011]) ).
thf(f9026,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_18
| ~ spl2_42
| ~ spl2_46 ),
inference(constrained_superposition,[],[f1162,f190]) ).
thf(f9028,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_18
| ~ spl2_42
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f9026]) ).
thf(f9032,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_18
| ~ spl2_42
| ~ spl2_46
| spl2_69 ),
inference(forward_subsumption_resolution,[],[f9028,f6022]) ).
thf(f9033,plain,
( spl2_8
| ~ spl2_18
| ~ spl2_42
| ~ spl2_46
| spl2_69 ),
inference(avatar_split_clause,[],[f9032,f2487,f754,f711,f189,f117]) ).
thf(f9046,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_18
| ~ spl2_71 ),
inference(constrained_superposition,[],[f7951,f2508]) ).
thf(f9047,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| spl2_18
| ~ spl2_71 ),
inference(trivial_inequality_removal,[],[f9046]) ).
thf(f9048,plain,
( $false
| spl2_18
| ~ spl2_71 ),
inference(forward_subsumption_resolution,[],[f9047,f40]) ).
thf(f9049,plain,
( spl2_18
| ~ spl2_71 ),
inference(avatar_contradiction_clause,[],[f9048]) ).
thf(f9053,definition,
( spl2_246
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_246])],[avatar_definition]) ).
thf(f9054,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_246 ),
inference(avatar_component_clause,[],[f9053]) ).
thf(f9058,definition,
( spl2_247
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_247])],[avatar_definition]) ).
thf(f9059,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| ~ spl2_247 ),
inference(avatar_component_clause,[],[f9058]) ).
thf(f9124,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_236 ),
inference(constrained_superposition,[],[f8918,f81]) ).
thf(f9125,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_49
| spl2_69
| ~ spl2_236 ),
inference(constrained_superposition,[],[f8918,f6082]) ).
thf(f9133,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_49
| spl2_69
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f9125]) ).
thf(f9140,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f9124]) ).
thf(f9147,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_49
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f9140,f767]) ).
thf(f9176,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_49
| ~ spl2_236 ),
inference(constrained_superposition,[],[f9147,f107]) ).
thf(f9178,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_28
| ~ spl2_49
| ~ spl2_236 ),
inference(constrained_superposition,[],[f9147,f4563]) ).
thf(f9182,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_49
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f9176]) ).
thf(f9184,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= sK1 ) )
| ~ spl2_28
| ~ spl2_49
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f9178]) ).
thf(f9187,plain,
( spl2_245
| ~ spl2_7
| ~ spl2_49
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f9182,f8917,f766,f106,f9011]) ).
thf(f9189,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_28
| ~ spl2_49
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f9184,f40]) ).
thf(f9193,plain,
( spl2_245
| ~ spl2_28
| ~ spl2_49
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f9189,f8917,f766,f373,f9011]) ).
thf(f9272,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_42
| ~ spl2_49
| ~ spl2_245 ),
inference(constrained_superposition,[],[f2615,f9012]) ).
thf(f9278,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_42
| ~ spl2_49
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f9272]) ).
thf(f9280,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_42
| ~ spl2_49
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f9278,f48]) ).
thf(f9294,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_231
| ~ spl2_241 ),
inference(constrained_superposition,[],[f8976,f8667]) ).
thf(f9298,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_231
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f9294]) ).
thf(f9347,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f8464,f79]) ).
thf(f9350,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f8464,f49]) ).
thf(f9354,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f9350]) ).
thf(f9357,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f9347]) ).
thf(f9364,definition,
( spl2_249
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_249])],[avatar_definition]) ).
thf(f9365,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_249 ),
inference(avatar_component_clause,[],[f9364]) ).
thf(f9369,definition,
( spl2_250
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_250])],[avatar_definition]) ).
thf(f9370,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_250 ),
inference(avatar_component_clause,[],[f9369]) ).
thf(f9371,plain,
( ~ spl2_249
| spl2_250
| spl2_1
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f9354,f6098,f64,f9369,f9364]) ).
thf(f9372,plain,
( spl2_208
| ~ spl2_234
| spl2_4
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f9357,f6098,f96,f8832,f7025]) ).
thf(f9374,definition,
( spl2_251
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_251])],[avatar_definition]) ).
thf(f9375,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_251 ),
inference(avatar_component_clause,[],[f9374]) ).
thf(f9378,definition,
( spl2_252
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_252])],[avatar_definition]) ).
thf(f9379,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_252 ),
inference(avatar_component_clause,[],[f9378]) ).
thf(f9386,definition,
( spl2_253
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_253])],[avatar_definition]) ).
thf(f9387,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_253 ),
inference(avatar_component_clause,[],[f9386]) ).
thf(f9390,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_249 ),
inference(constrained_superposition,[],[f9365,f29]) ).
thf(f9391,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_249 ),
inference(trivial_inequality_removal,[],[f9390]) ).
thf(f9393,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_249 ),
inference(forward_subsumption_resolution,[],[f9391,f40]) ).
thf(f9396,plain,
( $false
| spl2_68
| spl2_249 ),
inference(forward_subsumption_resolution,[],[f9393,f2375]) ).
thf(f9397,plain,
( spl2_68
| spl2_249 ),
inference(avatar_contradiction_clause,[],[f9396]) ).
thf(f9399,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f8483,f49]) ).
thf(f9403,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f9399]) ).
thf(f9406,plain,
( spl2_250
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f9403,f8482,f9369]) ).
thf(f9407,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_49
| ~ spl2_250 ),
inference(constrained_superposition,[],[f8132,f9370]) ).
thf(f9409,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_46
| ~ spl2_250 ),
inference(constrained_superposition,[],[f8126,f9370]) ).
thf(f9419,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_49
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f9407]) ).
thf(f9421,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_45
| ~ spl2_46
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f9409]) ).
thf(f9426,plain,
( $false
| ~ spl2_45
| ~ spl2_49
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f9419,f40]) ).
thf(f9427,plain,
( ~ spl2_45
| ~ spl2_49
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f9426]) ).
thf(f9429,plain,
( spl2_211
| ~ spl2_45
| ~ spl2_46
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f9421,f9369,f754,f733,f7092]) ).
thf(f9437,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_49
| spl2_69
| ~ spl2_236 ),
inference(constrained_superposition,[],[f9133,f4604]) ).
thf(f9439,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_27
| ~ spl2_49
| spl2_69
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f9437]) ).
thf(f9442,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_49
| ~ spl2_208
| ~ spl2_236 ),
inference(constrained_superposition,[],[f9147,f7026]) ).
thf(f9459,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_49
| ~ spl2_208
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f9442]) ).
thf(f9465,definition,
( spl2_254
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_254])],[avatar_definition]) ).
thf(f9466,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_254 ),
inference(avatar_component_clause,[],[f9465]) ).
thf(f9469,plain,
( $false
| ~ spl2_49
| ~ spl2_208
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f9459,f40]) ).
thf(f9470,plain,
( ~ spl2_49
| ~ spl2_208
| ~ spl2_236 ),
inference(avatar_contradiction_clause,[],[f9469]) ).
thf(f9489,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_251 ),
inference(constrained_superposition,[],[f9375,f50]) ).
thf(f9492,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_251 ),
inference(trivial_inequality_removal,[],[f9489]) ).
thf(f9493,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f92,f6085]) ).
thf(f9494,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f74,f6085]) ).
thf(f9495,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f57,f6085]) ).
thf(f9496,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f26,f6085]) ).
thf(f9500,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f9496]) ).
thf(f9503,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f9493]) ).
thf(f9504,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f9494]) ).
thf(f9506,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f9495]) ).
thf(f9508,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_187
| ~ spl2_191 ),
inference(constrained_superposition,[],[f6196,f6096]) ).
thf(f9519,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_187
| ~ spl2_191 ),
inference(trivial_inequality_removal,[],[f9508]) ).
thf(f9527,plain,
( spl2_235
| ~ spl2_187
| ~ spl2_191 ),
inference(avatar_split_clause,[],[f9519,f6195,f6095,f8892]) ).
thf(f9542,definition,
( spl2_255
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_255])],[avatar_definition]) ).
thf(f9543,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_255 ),
inference(avatar_component_clause,[],[f9542]) ).
thf(f9573,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f9500,f79]) ).
thf(f9576,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f9500,f49]) ).
thf(f9580,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f9573]) ).
thf(f9581,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f9576]) ).
thf(f9592,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_249 ),
inference(constrained_superposition,[],[f9365,f49]) ).
thf(f9594,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| spl2_249 ),
inference(trivial_inequality_removal,[],[f9592]) ).
thf(f9597,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_191
| spl2_249 ),
inference(constrained_superposition,[],[f6196,f9594]) ).
thf(f9599,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_42
| ~ spl2_49
| ~ spl2_245
| spl2_249 ),
inference(constrained_superposition,[],[f9280,f9594]) ).
thf(f9601,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_249 ),
inference(constrained_superposition,[],[f25,f9594]) ).
thf(f9604,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_191
| spl2_249 ),
inference(trivial_inequality_removal,[],[f9597]) ).
thf(f9605,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_42
| ~ spl2_49
| ~ spl2_245
| spl2_249 ),
inference(trivial_inequality_removal,[],[f9599]) ).
thf(f9606,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_249 ),
inference(trivial_inequality_removal,[],[f9601]) ).
thf(f9608,plain,
( spl2_24
| ~ spl2_191
| spl2_249 ),
inference(avatar_split_clause,[],[f9604,f9364,f6195,f331]) ).
thf(f9609,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_42
| ~ spl2_49
| ~ spl2_245
| spl2_249 ),
inference(forward_subsumption_resolution,[],[f9605,f40]) ).
thf(f9611,plain,
( spl2_24
| ~ spl2_42
| ~ spl2_49
| ~ spl2_245
| spl2_249 ),
inference(avatar_split_clause,[],[f9609,f9364,f9011,f766,f711,f331]) ).
thf(f9613,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_24
| ~ spl2_245 ),
inference(constrained_superposition,[],[f332,f9012]) ).
thf(f9614,plain,
( ( $true != $true )
| ~ spl2_24
| ~ spl2_170 ),
inference(constrained_superposition,[],[f332,f6160]) ).
thf(f9615,plain,
( ( $true != $true )
| ~ spl2_24
| ~ spl2_206 ),
inference(constrained_superposition,[],[f332,f7014]) ).
thf(f9616,plain,
( $false
| ~ spl2_24
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f9615]) ).
thf(f9617,plain,
( ~ spl2_24
| ~ spl2_206 ),
inference(avatar_contradiction_clause,[],[f9616]) ).
thf(f9618,plain,
( $false
| ~ spl2_24
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9614]) ).
thf(f9619,plain,
( ~ spl2_24
| ~ spl2_170 ),
inference(avatar_contradiction_clause,[],[f9618]) ).
thf(f9620,plain,
( ! [X0: $i] : ( sK1 = X0 )
| ~ spl2_24
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f9613]) ).
thf(f9621,plain,
( spl2_37
| ~ spl2_24
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f9620,f9011,f331,f544]) ).
thf(f9623,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_69
| ~ spl2_231
| ~ spl2_241 ),
inference(forward_subsumption_resolution,[],[f9298,f6022]) ).
thf(f9625,definition,
( spl2_256
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_256])],[avatar_definition]) ).
thf(f9626,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_256 ),
inference(avatar_component_clause,[],[f9625]) ).
thf(f9632,definition,
( spl2_257
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_257])],[avatar_definition]) ).
thf(f9633,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_257 ),
inference(avatar_component_clause,[],[f9632]) ).
thf(f9634,plain,
( spl2_257
| spl2_10
| spl2_249 ),
inference(avatar_split_clause,[],[f9606,f9364,f132,f9632]) ).
thf(f9635,plain,
( spl2_170
| spl2_251 ),
inference(avatar_split_clause,[],[f9492,f9374,f4931]) ).
thf(f9636,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_27
| ~ spl2_49
| spl2_69
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f9439,f40]) ).
thf(f9638,plain,
( spl2_191
| spl2_69
| ~ spl2_231
| ~ spl2_241 ),
inference(avatar_split_clause,[],[f9623,f8975,f8666,f2487,f6195]) ).
thf(f9642,plain,
( spl2_170
| spl2_166
| ~ spl2_27
| ~ spl2_49
| spl2_69
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f9636,f8917,f2487,f766,f369,f4699,f4931]) ).
thf(f9643,plain,
( spl2_65
| ~ spl2_251
| spl2_206
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f9504,f6084,f7013,f9374,f2362]) ).
thf(f9646,plain,
( $false
| ~ spl2_49
| spl2_69
| ~ spl2_159
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f3950,f9133]) ).
thf(f9647,plain,
( ~ spl2_49
| spl2_69
| ~ spl2_159
| ~ spl2_236 ),
inference(avatar_contradiction_clause,[],[f9646]) ).
thf(f9652,plain,
( ~ spl2_230
| spl2_208
| spl2_65
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f9503,f6084,f2362,f7025,f8657]) ).
thf(f9653,plain,
( spl2_208
| ~ spl2_234
| spl2_4
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f9580,f6084,f96,f8832,f7025]) ).
thf(f9655,plain,
( spl2_250
| spl2_65
| ~ spl2_251
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f9506,f6084,f9374,f2362,f9369]) ).
thf(f9656,plain,
( ~ spl2_249
| spl2_1
| spl2_250
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f9581,f6084,f9369,f64,f9364]) ).
thf(f9657,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f97,f49]) ).
thf(f9662,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f9657]) ).
thf(f9663,plain,
( spl2_17
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f9662,f96,f185]) ).
thf(f9672,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_42
| ~ spl2_49
| ~ spl2_170 ),
inference(constrained_superposition,[],[f2615,f6160]) ).
thf(f9673,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_42
| ~ spl2_46
| ~ spl2_170 ),
inference(constrained_superposition,[],[f1162,f6160]) ).
thf(f9677,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_42
| ~ spl2_46
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9673]) ).
thf(f9678,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_42
| ~ spl2_49
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9672]) ).
thf(f9680,definition,
( spl2_258
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_258])],[avatar_definition]) ).
thf(f9681,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_258 ),
inference(avatar_component_clause,[],[f9680]) ).
thf(f9683,plain,
( spl2_191
| spl2_59
| ~ spl2_42
| ~ spl2_46
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f9677,f4931,f754,f711,f2329,f6195]) ).
thf(f9684,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_42
| ~ spl2_49
| spl2_69
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f9678,f6022]) ).
thf(f9685,plain,
( spl2_191
| ~ spl2_42
| ~ spl2_49
| spl2_69
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f9684,f4931,f2487,f766,f711,f6195]) ).
thf(f9690,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_10
| ~ spl2_170 ),
inference(constrained_superposition,[],[f133,f6160]) ).
thf(f9691,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_10
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9690]) ).
thf(f9692,plain,
( spl2_221
| ~ spl2_10
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f9691,f4931,f132,f8157]) ).
thf(f9695,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_10
| ~ spl2_206 ),
inference(constrained_superposition,[],[f133,f7014]) ).
thf(f9698,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_10
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f9695]) ).
thf(f9703,plain,
( spl2_235
| ~ spl2_10
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f9698,f7013,f132,f8892]) ).
thf(f9738,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_232
| ~ spl2_241 ),
inference(constrained_superposition,[],[f8976,f8701]) ).
thf(f9742,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_232
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f9738]) ).
thf(f9745,plain,
( spl2_210
| spl2_166
| ~ spl2_232
| ~ spl2_241 ),
inference(avatar_split_clause,[],[f9742,f8975,f8700,f4699,f7089]) ).
thf(f9766,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_253 ),
inference(constrained_superposition,[],[f9387,f50]) ).
thf(f9769,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_253 ),
inference(trivial_inequality_removal,[],[f9766]) ).
thf(f9771,plain,
( spl2_206
| spl2_253 ),
inference(avatar_split_clause,[],[f9769,f9386,f7013]) ).
thf(f9783,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_18
| ~ spl2_42
| ~ spl2_49 ),
inference(constrained_superposition,[],[f2615,f190]) ).
thf(f9785,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_10
| ~ spl2_18 ),
inference(constrained_superposition,[],[f133,f190]) ).
thf(f9789,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_10
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f9785]) ).
thf(f9791,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) ) )
| ~ spl2_18
| ~ spl2_42
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f9783]) ).
thf(f9794,plain,
( spl2_29
| ~ spl2_10
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f9789,f189,f132,f441]) ).
thf(f9795,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_18
| ~ spl2_42
| ~ spl2_49 ),
inference(forward_subsumption_resolution,[],[f9791,f40]) ).
thf(f9796,plain,
( spl2_8
| ~ spl2_18
| ~ spl2_42
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f9795,f766,f711,f189,f117]) ).
thf(f9834,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_65 ),
inference(constrained_superposition,[],[f2363,f29]) ).
thf(f9837,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f9834]) ).
thf(f9839,plain,
( spl2_167
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f9837,f2362,f4702]) ).
thf(f9850,definition,
( spl2_259
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_259])],[avatar_definition]) ).
thf(f9851,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_259 ),
inference(avatar_component_clause,[],[f9850]) ).
thf(f9877,plain,
( ( $true != $true )
| ~ spl2_235
| ~ spl2_250 ),
inference(constrained_superposition,[],[f8893,f9370]) ).
thf(f9878,plain,
( ( $true != $true )
| ~ spl2_19
| ~ spl2_235 ),
inference(constrained_superposition,[],[f8893,f215]) ).
thf(f9879,plain,
( $false
| ~ spl2_235
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f9877]) ).
thf(f9880,plain,
( ~ spl2_235
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f9879]) ).
thf(f9882,plain,
( $false
| ~ spl2_19
| ~ spl2_235 ),
inference(trivial_inequality_removal,[],[f9878]) ).
thf(f9883,plain,
( ~ spl2_19
| ~ spl2_235 ),
inference(avatar_contradiction_clause,[],[f9882]) ).
thf(f9906,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_69 ),
inference(constrained_superposition,[],[f48,f2488]) ).
thf(f9933,definition,
( spl2_260
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_260])],[avatar_definition]) ).
thf(f9934,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_260 ),
inference(avatar_component_clause,[],[f9933]) ).
thf(f9955,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_69 ),
inference(equality_resolution,[],[f9906]) ).
thf(f9956,plain,
( $false
| ~ spl2_69 ),
inference(forward_subsumption_resolution,[],[f9955,f40]) ).
thf(f9957,plain,
~ spl2_69,
inference(avatar_contradiction_clause,[],[f9956]) ).
thf(f9962,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_69 ),
inference(extensionality_resolution,[],[f81,f6022]) ).
thf(f9963,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_69 ),
inference(extensionality_resolution,[],[f81,f6022]) ).
thf(f9964,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_69 ),
inference(extensionality_resolution,[],[f55,f6022]) ).
thf(f9966,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_69 ),
inference(extensionality_resolution,[],[f51,f6022]) ).
thf(f9967,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_69 ),
inference(extensionality_resolution,[],[f51,f6022]) ).
thf(f9971,definition,
( spl2_261
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_261])],[avatar_definition]) ).
thf(f9972,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_261 ),
inference(avatar_component_clause,[],[f9971]) ).
thf(f9974,definition,
( spl2_262
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_262])],[avatar_definition]) ).
thf(f9975,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_262 ),
inference(avatar_component_clause,[],[f9974]) ).
thf(f9976,plain,
( spl2_261
| spl2_262
| spl2_69 ),
inference(avatar_split_clause,[],[f9966,f2487,f9974,f9971]) ).
thf(f9977,plain,
( spl2_188
| spl2_187
| spl2_69 ),
inference(avatar_split_clause,[],[f9962,f2487,f6095,f6098]) ).
thf(f9978,plain,
( spl2_186
| spl2_181
| spl2_69 ),
inference(avatar_split_clause,[],[f9967,f2487,f6051,f6091]) ).
thf(f9980,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_52 ),
inference(constrained_superposition,[],[f25,f1006]) ).
thf(f9982,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f9980]) ).
thf(f9983,plain,
( spl2_260
| spl2_8
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f9982,f1005,f117,f9933]) ).
thf(f9984,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_170 ),
inference(constrained_superposition,[],[f1116,f6160]) ).
thf(f9985,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_42
| ~ spl2_46
| ~ spl2_170 ),
inference(constrained_superposition,[],[f1162,f6160]) ).
thf(f9988,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_44
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9984]) ).
thf(f9989,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_42
| ~ spl2_46
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9985]) ).
thf(f9991,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_44
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f9988,f40]) ).
thf(f9992,plain,
( spl2_59
| spl2_191
| ~ spl2_42
| ~ spl2_46
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f9989,f4931,f754,f711,f6195,f2329]) ).
thf(f9993,plain,
( spl2_181
| ~ spl2_44
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f9991,f4931,f729,f6051]) ).
thf(f10010,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_211 ),
inference(constrained_superposition,[],[f48,f7093]) ).
thf(f10034,definition,
( spl2_263
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_263])],[avatar_definition]) ).
thf(f10035,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_263 ),
inference(avatar_component_clause,[],[f10034]) ).
thf(f10037,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_11
| ~ spl2_40 ),
inference(constrained_superposition,[],[f136,f636]) ).
thf(f10039,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_11
| ~ spl2_232 ),
inference(constrained_superposition,[],[f136,f8701]) ).
thf(f10041,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_52 ),
inference(constrained_superposition,[],[f136,f1006]) ).
thf(f10044,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_11
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f10041]) ).
thf(f10047,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_11
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f10039]) ).
thf(f10048,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f10037]) ).
thf(f10050,plain,
( $false
| ~ spl2_11
| ~ spl2_17
| ~ spl2_52 ),
inference(forward_subsumption_resolution,[],[f10044,f186]) ).
thf(f10051,plain,
( ~ spl2_11
| ~ spl2_17
| ~ spl2_52 ),
inference(avatar_contradiction_clause,[],[f10050]) ).
thf(f10054,plain,
( $false
| ~ spl2_11
| ~ spl2_232
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f10047,f9370]) ).
thf(f10055,plain,
( ~ spl2_11
| ~ spl2_232
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f10054]) ).
thf(f10058,definition,
( spl2_264
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_264])],[avatar_definition]) ).
thf(f10059,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_264 ),
inference(avatar_component_clause,[],[f10058]) ).
thf(f10062,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_40
| ~ spl2_250 ),
inference(constrained_superposition,[],[f10048,f9370]) ).
thf(f10065,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_11
| ~ spl2_40
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f10062]) ).
thf(f10069,plain,
( spl2_207
| ~ spl2_11
| ~ spl2_40
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f10065,f9369,f635,f135,f7016]) ).
thf(f10074,definition,
( spl2_265
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_265])],[avatar_definition]) ).
thf(f10075,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_265 ),
inference(avatar_component_clause,[],[f10074]) ).
thf(f10077,definition,
( spl2_266
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_266])],[avatar_definition]) ).
thf(f10078,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_266 ),
inference(avatar_component_clause,[],[f10077]) ).
thf(f10079,plain,
( spl2_265
| spl2_266
| spl2_69 ),
inference(avatar_split_clause,[],[f9964,f2487,f10077,f10074]) ).
thf(f10103,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_59 ),
inference(constrained_superposition,[],[f48,f2330]) ).
thf(f10142,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_59 ),
inference(equality_resolution,[],[f10103]) ).
thf(f10144,plain,
( $false
| ~ spl2_59
| spl2_69 ),
inference(forward_subsumption_resolution,[],[f10142,f6022]) ).
thf(f10145,plain,
( ~ spl2_59
| spl2_69 ),
inference(avatar_contradiction_clause,[],[f10144]) ).
thf(f10146,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_15
| ~ spl2_159 ),
inference(constrained_superposition,[],[f162,f3950]) ).
thf(f10148,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_15
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f10146]) ).
thf(f10150,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f2374]) ).
thf(f10151,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_52 ),
inference(avatar_component_clause,[],[f1005]) ).
thf(f10152,plain,
( spl2_68
| ~ spl2_52
| ~ spl2_15
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f10148,f3949,f161,f1005,f2374]) ).
thf(f10157,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_264 ),
inference(constrained_superposition,[],[f92,f10059]) ).
thf(f10163,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_264 ),
inference(constrained_superposition,[],[f628,f10059]) ).
thf(f10164,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_264 ),
inference(duplicate_literal_removal,[],[f10163]) ).
thf(f10165,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f10164]) ).
thf(f10168,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f10157]) ).
thf(f10174,definition,
( spl2_267
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_267])],[avatar_definition]) ).
thf(f10175,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_267 ),
inference(avatar_component_clause,[],[f10174]) ).
thf(f10176,plain,
( spl2_46
| spl2_267
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f10165,f10058,f10174,f754]) ).
thf(f10178,definition,
( spl2_268
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_268])],[avatar_definition]) ).
thf(f10179,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_268 ),
inference(avatar_component_clause,[],[f10178]) ).
thf(f10180,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_215 ),
inference(avatar_component_clause,[],[f7914]) ).
thf(f10181,plain,
( spl2_49
| spl2_268
| ~ spl2_215
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f10168,f10058,f7914,f10178,f766]) ).
thf(f10187,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_215 ),
inference(constrained_superposition,[],[f10180,f51]) ).
thf(f10188,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_215 ),
inference(constrained_superposition,[],[f10180,f29]) ).
thf(f10189,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_215 ),
inference(trivial_inequality_removal,[],[f10187]) ).
thf(f10190,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_215 ),
inference(trivial_inequality_removal,[],[f10188]) ).
thf(f10191,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_215 ),
inference(forward_subsumption_resolution,[],[f10189,f40]) ).
thf(f10192,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_69
| spl2_215 ),
inference(forward_subsumption_resolution,[],[f10190,f6022]) ).
thf(f10193,plain,
( spl2_266
| spl2_215 ),
inference(avatar_split_clause,[],[f10191,f7914,f10077]) ).
thf(f10194,plain,
( spl2_266
| spl2_69
| spl2_215 ),
inference(avatar_split_clause,[],[f10192,f7914,f2487,f10077]) ).
thf(f10196,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_266 ),
inference(constrained_superposition,[],[f136,f10078]) ).
thf(f10200,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_11
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f10196]) ).
thf(f10202,plain,
( $false
| ~ spl2_11
| ~ spl2_42
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f10200,f712]) ).
thf(f10203,plain,
( ~ spl2_11
| ~ spl2_42
| ~ spl2_266 ),
inference(avatar_contradiction_clause,[],[f10202]) ).
thf(f10204,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_215 ),
inference(constrained_superposition,[],[f74,f7915]) ).
thf(f10206,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_215 ),
inference(constrained_superposition,[],[f26,f7915]) ).
thf(f10211,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f10206]) ).
thf(f10212,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f10204]) ).
thf(f10217,definition,
( spl2_270
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_270])],[avatar_definition]) ).
thf(f10218,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_270 ),
inference(avatar_component_clause,[],[f10217]) ).
thf(f10220,plain,
( spl2_265
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f10211,f7914,f10074]) ).
thf(f10221,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_18
| ~ spl2_215 ),
inference(forward_subsumption_resolution,[],[f10212,f7951]) ).
thf(f10223,definition,
( spl2_271
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_271])],[avatar_definition]) ).
thf(f10224,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| ~ spl2_271 ),
inference(avatar_component_clause,[],[f10223]) ).
thf(f10227,definition,
( spl2_272
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_272])],[avatar_definition]) ).
thf(f10228,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_272 ),
inference(avatar_component_clause,[],[f10227]) ).
thf(f10229,plain,
( ~ spl2_272
| spl2_49
| spl2_18
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f10221,f7914,f189,f766,f10227]) ).
thf(f10230,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_272 ),
inference(constrained_superposition,[],[f10228,f50]) ).
thf(f10233,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_272 ),
inference(trivial_inequality_removal,[],[f10230]) ).
thf(f10247,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_211 ),
inference(equality_resolution,[],[f10010]) ).
thf(f10248,plain,
( spl2_166
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f10247,f7092,f4699]) ).
thf(f10252,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f26,f6052]) ).
thf(f10258,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f10252]) ).
thf(f10271,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_186 ),
inference(constrained_superposition,[],[f730,f6092]) ).
thf(f10275,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f10271]) ).
thf(f10277,plain,
( $false
| ~ spl2_44
| ~ spl2_170
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f10275,f6160]) ).
thf(f10278,plain,
( ~ spl2_44
| ~ spl2_170
| ~ spl2_186 ),
inference(avatar_contradiction_clause,[],[f10277]) ).
thf(f10301,definition,
( spl2_275
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_275])],[avatar_definition]) ).
thf(f10302,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true ) )
| ~ spl2_275 ),
inference(avatar_component_clause,[],[f10301]) ).
thf(f10309,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) )
| ~ spl2_45 ),
inference(constrained_superposition,[],[f734,f81]) ).
thf(f10310,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_261 ),
inference(constrained_superposition,[],[f734,f9972]) ).
thf(f10311,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_45
| ~ spl2_268 ),
inference(constrained_superposition,[],[f734,f10179]) ).
thf(f10313,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_45
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f10311]) ).
thf(f10314,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f10309]) ).
thf(f10315,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_45
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f10310]) ).
thf(f10317,plain,
( $false
| ~ spl2_17
| ~ spl2_45
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f10313,f186]) ).
thf(f10318,plain,
( ~ spl2_17
| ~ spl2_45
| ~ spl2_268 ),
inference(avatar_contradiction_clause,[],[f10317]) ).
thf(f10319,plain,
( $false
| ~ spl2_45
| ~ spl2_68
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f10315,f10150]) ).
thf(f10320,plain,
( ~ spl2_45
| ~ spl2_68
| ~ spl2_261 ),
inference(avatar_contradiction_clause,[],[f10319]) ).
thf(f10324,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f26,f998]) ).
thf(f10325,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f55,f998]) ).
thf(f10329,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f10324]) ).
thf(f10333,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f10325]) ).
thf(f10345,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_159
| ~ spl2_260 ),
inference(constrained_superposition,[],[f9934,f3950]) ).
thf(f10348,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_159
| ~ spl2_260 ),
inference(trivial_inequality_removal,[],[f10345]) ).
thf(f10349,plain,
( $false
| ~ spl2_159
| ~ spl2_231
| ~ spl2_260 ),
inference(forward_subsumption_resolution,[],[f10348,f8667]) ).
thf(f10350,plain,
( ~ spl2_159
| ~ spl2_231
| ~ spl2_260 ),
inference(avatar_contradiction_clause,[],[f10349]) ).
thf(f10358,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_42
| ~ spl2_236 ),
inference(constrained_superposition,[],[f8918,f712]) ).
thf(f10360,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_42
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f10358]) ).
thf(f10361,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_231
| ~ spl2_258 ),
inference(constrained_superposition,[],[f9681,f8667]) ).
thf(f10366,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_231
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f10361]) ).
thf(f10381,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f92,f6099]) ).
thf(f10383,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f57,f6099]) ).
thf(f10389,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f10383]) ).
thf(f10391,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f10381]) ).
thf(f10399,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_68
| ~ spl2_259 ),
inference(constrained_superposition,[],[f9851,f10150]) ).
thf(f10402,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_68
| ~ spl2_259 ),
inference(trivial_inequality_removal,[],[f10399]) ).
thf(f10430,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_170
| ~ spl2_192 ),
inference(constrained_superposition,[],[f6335,f6160]) ).
thf(f10433,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_170
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f10430]) ).
thf(f10435,plain,
( $false
| ~ spl2_42
| ~ spl2_170
| ~ spl2_192 ),
inference(forward_subsumption_resolution,[],[f10433,f712]) ).
thf(f10436,plain,
( ~ spl2_42
| ~ spl2_170
| ~ spl2_192 ),
inference(avatar_contradiction_clause,[],[f10435]) ).
thf(f10440,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_68
| ~ spl2_193 ),
inference(constrained_superposition,[],[f6360,f10150]) ).
thf(f10442,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_68
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f10440]) ).
thf(f10444,plain,
( $false
| ~ spl2_68
| ~ spl2_162
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f10442,f4419]) ).
thf(f10445,plain,
( ~ spl2_68
| ~ spl2_162
| ~ spl2_193 ),
inference(avatar_contradiction_clause,[],[f10444]) ).
thf(f10448,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_250
| ~ spl2_254 ),
inference(constrained_superposition,[],[f9466,f9370]) ).
thf(f10450,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_250
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f10448]) ).
thf(f10456,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_265 ),
inference(constrained_superposition,[],[f10075,f79]) ).
thf(f10457,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_262
| ~ spl2_265 ),
inference(constrained_superposition,[],[f10075,f9975]) ).
thf(f10458,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_265 ),
inference(constrained_superposition,[],[f10075,f49]) ).
thf(f10462,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f10458]) ).
thf(f10464,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_262
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f10457]) ).
thf(f10465,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_265 ),
inference(trivial_inequality_removal,[],[f10456]) ).
thf(f10467,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_212 ),
inference(constrained_superposition,[],[f7230,f7026]) ).
thf(f10468,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_212
| ~ spl2_250 ),
inference(constrained_superposition,[],[f7230,f9370]) ).
thf(f10470,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_212
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f10468]) ).
thf(f10471,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f10467]) ).
thf(f10472,plain,
( $false
| ~ spl2_170
| ~ spl2_212
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f10470,f6160]) ).
thf(f10473,plain,
( ~ spl2_170
| ~ spl2_212
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f10472]) ).
thf(f10474,plain,
( $false
| ~ spl2_208
| ~ spl2_212
| ~ spl2_231 ),
inference(forward_subsumption_resolution,[],[f10471,f8667]) ).
thf(f10475,plain,
( ~ spl2_208
| ~ spl2_212
| ~ spl2_231 ),
inference(avatar_contradiction_clause,[],[f10474]) ).
thf(f10489,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_181
| ~ spl2_188 ),
inference(constrained_superposition,[],[f10258,f6099]) ).
thf(f10490,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f10258,f6052]) ).
thf(f10498,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f10490]) ).
thf(f10499,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_181
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f10489]) ).
thf(f10500,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_264 ),
inference(avatar_component_clause,[],[f10058]) ).
thf(f10501,plain,
( ~ spl2_264
| spl2_49
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f10498,f6051,f766,f10058]) ).
thf(f10503,definition,
( spl2_276
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_276])],[avatar_definition]) ).
thf(f10504,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_276 ),
inference(avatar_component_clause,[],[f10503]) ).
thf(f10505,plain,
( spl2_228
| ~ spl2_276
| ~ spl2_181
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f10499,f6098,f6051,f10503,f8482]) ).
thf(f10511,definition,
( spl2_277
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_277])],[avatar_definition]) ).
thf(f10512,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_277 ),
inference(avatar_component_clause,[],[f10511]) ).
thf(f10517,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_277 ),
inference(constrained_superposition,[],[f734,f10512]) ).
thf(f10522,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_45
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f10517]) ).
thf(f10529,plain,
( $false
| ~ spl2_45
| ~ spl2_250
| ~ spl2_277 ),
inference(forward_subsumption_resolution,[],[f10522,f9370]) ).
thf(f10530,plain,
( ~ spl2_45
| ~ spl2_250
| ~ spl2_277 ),
inference(avatar_contradiction_clause,[],[f10529]) ).
thf(f10532,definition,
( spl2_278
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_278])],[avatar_definition]) ).
thf(f10533,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_278 ),
inference(avatar_component_clause,[],[f10532]) ).
thf(f10536,plain,
( spl2_162
| spl2_272 ),
inference(avatar_split_clause,[],[f10233,f10227,f4418]) ).
thf(f10540,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_166
| ~ spl2_188 ),
inference(constrained_superposition,[],[f6099,f4700]) ).
thf(f10541,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_166
| ~ spl2_170 ),
inference(constrained_superposition,[],[f6160,f4700]) ).
thf(f10542,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_166
| ~ spl2_208 ),
inference(constrained_superposition,[],[f7026,f4700]) ).
thf(f10545,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_166
| ~ spl2_231 ),
inference(constrained_superposition,[],[f8667,f4700]) ).
thf(f10548,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_166
| spl2_251 ),
inference(constrained_superposition,[],[f9375,f4700]) ).
thf(f10554,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_166
| ~ spl2_258 ),
inference(constrained_superposition,[],[f9681,f4700]) ).
thf(f10560,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f79,f4700]) ).
thf(f10564,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f92,f4700]) ).
thf(f10567,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_166
| ~ spl2_242 ),
inference(constrained_superposition,[],[f8995,f4700]) ).
thf(f10584,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_166 ),
inference(constrained_superposition,[],[f1116,f4700]) ).
thf(f10586,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_166 ),
inference(duplicate_literal_removal,[],[f10564]) ).
thf(f10588,plain,
( spl2_9
| ~ spl2_166
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f10554,f9680,f4699,f120]) ).
thf(f10589,plain,
( ~ spl2_5
| ~ spl2_166
| spl2_251 ),
inference(avatar_split_clause,[],[f10548,f9374,f4699,f99]) ).
thf(f10591,plain,
( spl2_268
| ~ spl2_166
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f10542,f7025,f4699,f10178]) ).
thf(f10597,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_52
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f10586,f10151]) ).
thf(f10598,plain,
( spl2_215
| ~ spl2_166
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f10540,f6098,f4699,f7914]) ).
thf(f10600,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f10584,f40]) ).
thf(f10601,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_18
| ~ spl2_166
| ~ spl2_242 ),
inference(forward_subsumption_resolution,[],[f10567,f7951]) ).
thf(f10604,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_14
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f10560,f156]) ).
thf(f10605,plain,
( $false
| spl2_52
| ~ spl2_166
| ~ spl2_231 ),
inference(forward_subsumption_resolution,[],[f10545,f10151]) ).
thf(f10606,plain,
( spl2_52
| ~ spl2_166
| ~ spl2_231 ),
inference(avatar_contradiction_clause,[],[f10605]) ).
thf(f10607,plain,
( $false
| spl2_18
| ~ spl2_166
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f10541,f7951]) ).
thf(f10608,plain,
( spl2_18
| ~ spl2_166
| ~ spl2_170 ),
inference(avatar_contradiction_clause,[],[f10607]) ).
thf(f10611,plain,
( spl2_51
| spl2_52
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f10597,f4699,f1005,f1002]) ).
thf(f10613,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_166
| spl2_264 ),
inference(forward_subsumption_resolution,[],[f10600,f10500]) ).
thf(f10614,plain,
( spl2_260
| spl2_18
| ~ spl2_166
| ~ spl2_242 ),
inference(avatar_split_clause,[],[f10601,f8994,f4699,f189,f9933]) ).
thf(f10615,plain,
( $false
| spl2_14
| spl2_52
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f10604,f10151]) ).
thf(f10616,plain,
( spl2_14
| spl2_52
| ~ spl2_166 ),
inference(avatar_contradiction_clause,[],[f10615]) ).
thf(f10617,plain,
( ~ spl2_162
| ~ spl2_44
| ~ spl2_166
| spl2_264 ),
inference(avatar_split_clause,[],[f10613,f10058,f4699,f729,f4418]) ).
thf(f10618,plain,
( ~ spl2_18
| ~ spl2_231
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f10366,f9680,f8666,f189]) ).
thf(f10619,plain,
( ~ spl2_229
| spl2_228
| spl2_159
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f10391,f6098,f3949,f8482,f8653]) ).
thf(f10621,plain,
( ~ spl2_18
| ~ spl2_68
| ~ spl2_259 ),
inference(avatar_split_clause,[],[f10402,f9850,f2374,f189]) ).
thf(f10622,plain,
( ~ spl2_18
| ~ spl2_250
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f10450,f9465,f9369,f189]) ).
thf(f10623,plain,
( ~ spl2_18
| ~ spl2_42
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f10360,f8917,f711,f189]) ).
thf(f10713,definition,
( spl2_279
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).
thf(f10714,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_279 ),
inference(avatar_component_clause,[],[f10713]) ).
thf(f10728,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_186
| ~ spl2_257 ),
inference(constrained_superposition,[],[f9633,f6092]) ).
thf(f10735,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_186
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f10728]) ).
thf(f10739,plain,
( $false
| ~ spl2_42
| ~ spl2_186
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f10735,f712]) ).
thf(f10740,plain,
( ~ spl2_42
| ~ spl2_186
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f10739]) ).
thf(f10817,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_159 ),
inference(constrained_superposition,[],[f121,f3950]) ).
thf(f10823,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f10817]) ).
thf(f10827,plain,
( $false
| ~ spl2_9
| ~ spl2_159
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f10823,f6160]) ).
thf(f10828,plain,
( ~ spl2_9
| ~ spl2_159
| ~ spl2_170 ),
inference(avatar_contradiction_clause,[],[f10827]) ).
thf(f10836,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_44 ),
inference(constrained_superposition,[],[f730,f81]) ).
thf(f10840,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f10836]) ).
thf(f10967,definition,
( spl2_280
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_280])],[avatar_definition]) ).
thf(f10968,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_280 ),
inference(avatar_component_clause,[],[f10967]) ).
thf(f10982,definition,
( spl2_281
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_281])],[avatar_definition]) ).
thf(f10983,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| spl2_281 ),
inference(avatar_component_clause,[],[f10982]) ).
thf(f10994,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_280 ),
inference(constrained_superposition,[],[f48,f10968]) ).
thf(f11019,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_280 ),
inference(equality_resolution,[],[f10994]) ).
thf(f11020,plain,
( spl2_279
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f11019,f10967,f10713]) ).
thf(f11022,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_188
| ~ spl2_279 ),
inference(constrained_superposition,[],[f6099,f10714]) ).
thf(f11070,plain,
( $false
| ~ spl2_188
| spl2_233
| ~ spl2_279 ),
inference(forward_subsumption_resolution,[],[f11022,f8827]) ).
thf(f11071,plain,
( ~ spl2_188
| spl2_233
| ~ spl2_279 ),
inference(avatar_contradiction_clause,[],[f11070]) ).
thf(f11077,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_257
| ~ spl2_267 ),
inference(constrained_superposition,[],[f9633,f10175]) ).
thf(f11079,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_225
| ~ spl2_267 ),
inference(constrained_superposition,[],[f8393,f10175]) ).
thf(f11089,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_225
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f11079]) ).
thf(f11090,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_257
| ~ spl2_267 ),
inference(trivial_inequality_removal,[],[f11077]) ).
thf(f11096,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_42
| ~ spl2_225
| ~ spl2_267 ),
inference(forward_subsumption_resolution,[],[f11089,f712]) ).
thf(f11097,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_42
| ~ spl2_257
| ~ spl2_267 ),
inference(forward_subsumption_resolution,[],[f11090,f712]) ).
thf(f11102,plain,
( spl2_211
| ~ spl2_42
| ~ spl2_225
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f11096,f10174,f8392,f711,f7092]) ).
thf(f11103,plain,
( spl2_59
| ~ spl2_42
| ~ spl2_257
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f11097,f10174,f9632,f711,f2329]) ).
thf(f11354,definition,
( spl2_295
<=> ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_295])],[avatar_definition]) ).
thf(f11355,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_295 ),
inference(avatar_component_clause,[],[f11354]) ).
thf(f11456,definition,
( spl2_316
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_316])],[avatar_definition]) ).
thf(f11457,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_316 ),
inference(avatar_component_clause,[],[f11456]) ).
thf(f11488,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_247 ),
inference(constrained_superposition,[],[f9059,f49]) ).
thf(f11489,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_247 ),
inference(trivial_inequality_removal,[],[f11488]) ).
thf(f11513,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_207
| ~ spl2_232 ),
inference(constrained_superposition,[],[f8701,f7017]) ).
thf(f11521,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_207 ),
inference(constrained_superposition,[],[f79,f7017]) ).
thf(f11525,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_207 ),
inference(constrained_superposition,[],[f92,f7017]) ).
thf(f11528,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_207
| ~ spl2_242 ),
inference(constrained_superposition,[],[f8995,f7017]) ).
thf(f11548,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_207 ),
inference(duplicate_literal_removal,[],[f11525]) ).
thf(f11556,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_18
| ~ spl2_207
| ~ spl2_242 ),
inference(forward_subsumption_resolution,[],[f11528,f7951]) ).
thf(f11557,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_52
| ~ spl2_207 ),
inference(forward_subsumption_resolution,[],[f11548,f10151]) ).
thf(f11563,plain,
( $false
| spl2_52
| ~ spl2_207
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f11513,f10151]) ).
thf(f11564,plain,
( spl2_52
| ~ spl2_207
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f11563]) ).
thf(f11565,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_52
| ~ spl2_207 ),
inference(forward_subsumption_resolution,[],[f11521,f10151]) ).
thf(f11568,plain,
( spl2_260
| spl2_18
| ~ spl2_207
| ~ spl2_242 ),
inference(avatar_split_clause,[],[f11556,f8994,f7016,f189,f9933]) ).
thf(f11569,plain,
( spl2_51
| spl2_52
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f11557,f7016,f1005,f1002]) ).
thf(f11572,plain,
( $false
| spl2_14
| spl2_52
| ~ spl2_207 ),
inference(forward_subsumption_resolution,[],[f11565,f156]) ).
thf(f11573,plain,
( spl2_14
| spl2_52
| ~ spl2_207 ),
inference(avatar_contradiction_clause,[],[f11572]) ).
thf(f11595,definition,
( spl2_324
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_324])],[avatar_definition]) ).
thf(f11596,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_324 ),
inference(avatar_component_clause,[],[f11595]) ).
thf(f11617,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( $true != $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f3165,f80]) ).
thf(f11638,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f11617]) ).
thf(f11642,definition,
( spl2_325
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_325])],[avatar_definition]) ).
thf(f11643,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_325 ),
inference(avatar_component_clause,[],[f11642]) ).
thf(f11644,plain,
( spl2_218
| spl2_325
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f11638,f3164,f11642,f7928]) ).
thf(f11653,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_159
| ~ spl2_325 ),
inference(constrained_superposition,[],[f11643,f3950]) ).
thf(f11655,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_159
| ~ spl2_325 ),
inference(trivial_inequality_removal,[],[f11653]) ).
thf(f11658,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_159
| ~ spl2_325 ),
inference(forward_subsumption_resolution,[],[f11655,f40]) ).
thf(f11659,plain,
( spl2_59
| ~ spl2_159
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f11658,f11642,f3949,f2329]) ).
thf(f11972,definition,
( spl2_332
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_332])],[avatar_definition]) ).
thf(f11973,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_332 ),
inference(avatar_component_clause,[],[f11972]) ).
thf(f11977,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_22 ),
inference(extensionality_resolution,[],[f296,f48]) ).
thf(f11981,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f296,f29]) ).
thf(f11984,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( X0 = X1 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f11981]) ).
thf(f11995,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( X0 = X1 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f11984,f29]) ).
thf(f11996,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f11984,f49]) ).
thf(f11999,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ sK1 )
= $true )
| ( sK1 = X1 )
| ( sK1 = X0 ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f11995]) ).
thf(f12000,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ X1 @ sK1 )
= $true ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f11996]) ).
thf(f12001,plain,
( spl2_220
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f12000,f295,f7957]) ).
thf(f12002,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_271 ),
inference(constrained_superposition,[],[f10224,f29]) ).
thf(f12008,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f12002]) ).
thf(f12030,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_7
| ~ spl2_45 ),
inference(constrained_superposition,[],[f734,f107]) ).
thf(f12044,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_7
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f12030]) ).
thf(f12089,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_222
| ~ spl2_242 ),
inference(constrained_superposition,[],[f8995,f8352]) ).
thf(f12092,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_44
| ~ spl2_222 ),
inference(constrained_superposition,[],[f730,f8352]) ).
thf(f12095,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_222
| ~ spl2_258 ),
inference(constrained_superposition,[],[f9681,f8352]) ).
thf(f12103,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_222
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f12089]) ).
thf(f12104,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_44
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f12092]) ).
thf(f12107,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_222
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f12095]) ).
thf(f12113,definition,
( spl2_334
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_334])],[avatar_definition]) ).
thf(f12114,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_334 ),
inference(avatar_component_clause,[],[f12113]) ).
thf(f12115,plain,
( spl2_206
| spl2_334
| ~ spl2_222
| ~ spl2_242 ),
inference(avatar_split_clause,[],[f12103,f8994,f8351,f12113,f7013]) ).
thf(f12116,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_206 ),
inference(avatar_component_clause,[],[f7013]) ).
thf(f12117,plain,
( spl2_211
| ~ spl2_206
| ~ spl2_44
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f12104,f8351,f729,f7013,f7092]) ).
thf(f12121,plain,
( spl2_279
| ~ spl2_206
| ~ spl2_222
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f12107,f9680,f8351,f7013,f10713]) ).
thf(f12170,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_12 ),
inference(extensionality_resolution,[],[f10333,f40]) ).
thf(f12175,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f10333,f50]) ).
thf(f12176,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f12175]) ).
thf(f12180,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_12
| spl2_18 ),
inference(forward_subsumption_resolution,[],[f12176,f7951]) ).
thf(f12182,plain,
( ~ spl2_5
| spl2_28
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f12170,f148,f373,f99]) ).
thf(f12183,plain,
( spl2_27
| ~ spl2_12
| spl2_18 ),
inference(avatar_split_clause,[],[f12180,f189,f148,f369]) ).
thf(f12184,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f374,f51]) ).
thf(f12188,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f12184]) ).
thf(f12225,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f25,f12188]) ).
thf(f12230,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f12225]) ).
thf(f12236,plain,
( spl2_8
| spl2_243
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f12230,f373,f8998,f117]) ).
thf(f12289,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_159
| ~ spl2_246 ),
inference(constrained_superposition,[],[f9054,f3950]) ).
thf(f12305,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_159
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f12289]) ).
thf(f12307,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_159
| ~ spl2_246
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f12305,f9681]) ).
thf(f12442,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_44
| ~ spl2_270 ),
inference(constrained_superposition,[],[f730,f10218]) ).
thf(f12448,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_225
| ~ spl2_270 ),
inference(constrained_superposition,[],[f8393,f10218]) ).
thf(f12462,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_225
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f12448]) ).
thf(f12465,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f12442]) ).
thf(f12470,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_42
| ~ spl2_225
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f12462,f712]) ).
thf(f12471,plain,
( spl2_211
| spl2_207
| spl2_208
| ~ spl2_42
| ~ spl2_225
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f12470,f10217,f8392,f711,f7025,f7016,f7092]) ).
thf(f12490,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_44
| ~ spl2_271 ),
inference(constrained_superposition,[],[f730,f12008]) ).
thf(f12507,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_44
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f12490]) ).
thf(f12675,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_166 ),
inference(avatar_component_clause,[],[f4699]) ).
thf(f12694,definition,
( spl2_342
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_342])],[avatar_definition]) ).
thf(f12695,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_342 ),
inference(avatar_component_clause,[],[f12694]) ).
thf(f12697,definition,
( spl2_343
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_343])],[avatar_definition]) ).
thf(f12698,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_343 ),
inference(avatar_component_clause,[],[f12697]) ).
thf(f12701,definition,
( spl2_344
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_344])],[avatar_definition]) ).
thf(f12702,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_344 ),
inference(avatar_component_clause,[],[f12701]) ).
thf(f12704,definition,
( spl2_345
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_345])],[avatar_definition]) ).
thf(f12705,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_345 ),
inference(avatar_component_clause,[],[f12704]) ).
thf(f12708,definition,
( spl2_346
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_346])],[avatar_definition]) ).
thf(f12709,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_346 ),
inference(avatar_component_clause,[],[f12708]) ).
thf(f12711,definition,
( spl2_347
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f12712,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f12711]) ).
thf(f12716,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_342 ),
inference(constrained_superposition,[],[f730,f12695]) ).
thf(f12718,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_242
| ~ spl2_342 ),
inference(constrained_superposition,[],[f8995,f12695]) ).
thf(f12725,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_242
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f12718]) ).
thf(f12726,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_44
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f12716]) ).
thf(f12731,definition,
( spl2_348
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_348])],[avatar_definition]) ).
thf(f12732,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_348 ),
inference(avatar_component_clause,[],[f12731]) ).
thf(f12735,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_159
| ~ spl2_246
| ~ spl2_258
| ~ spl2_344 ),
inference(constrained_superposition,[],[f12307,f12702]) ).
thf(f12742,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_332
| ~ spl2_344 ),
inference(constrained_superposition,[],[f11973,f12702]) ).
thf(f12746,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_332
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f12742]) ).
thf(f12751,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_159
| ~ spl2_246
| ~ spl2_258
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f12735]) ).
thf(f12755,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_332
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f12746,f40]) ).
thf(f12759,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_159
| ~ spl2_246
| ~ spl2_258
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f12751,f40]) ).
thf(f12763,definition,
( spl2_349
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_349])],[avatar_definition]) ).
thf(f12764,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_349 ),
inference(avatar_component_clause,[],[f12763]) ).
thf(f12766,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_159
| ~ spl2_332
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f12755,f3950]) ).
thf(f12767,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_281 ),
inference(avatar_component_clause,[],[f10982]) ).
thf(f12769,definition,
( spl2_350
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_350])],[avatar_definition]) ).
thf(f12770,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_350 ),
inference(avatar_component_clause,[],[f12769]) ).
thf(f12773,definition,
( spl2_351
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_351])],[avatar_definition]) ).
thf(f12774,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_351 ),
inference(avatar_component_clause,[],[f12773]) ).
thf(f12776,plain,
( spl2_350
| ~ spl2_159
| ~ spl2_246
| ~ spl2_258
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f12759,f12701,f9680,f9053,f3949,f12769]) ).
thf(f12778,plain,
( spl2_281
| ~ spl2_159
| ~ spl2_332
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f12766,f12701,f11972,f3949,f10982]) ).
thf(f12781,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_350 ),
inference(constrained_superposition,[],[f79,f12770]) ).
thf(f12785,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_350 ),
inference(constrained_superposition,[],[f92,f12770]) ).
thf(f12787,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_7
| ~ spl2_350 ),
inference(constrained_superposition,[],[f107,f12770]) ).
thf(f12814,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_243
| ~ spl2_350 ),
inference(constrained_superposition,[],[f8999,f12770]) ).
thf(f12815,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45
| ~ spl2_350 ),
inference(constrained_superposition,[],[f10314,f12770]) ).
thf(f12817,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_350 ),
inference(constrained_superposition,[],[f10840,f12770]) ).
thf(f12821,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_350 ),
inference(duplicate_literal_removal,[],[f12785]) ).
thf(f12827,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_45
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12815,f40]) ).
thf(f12830,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_243
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12814,f40]) ).
thf(f12832,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_52
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12781,f10151]) ).
thf(f12833,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_7
| spl2_52
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12787,f10151]) ).
thf(f12834,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_52
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12821,f10151]) ).
thf(f12835,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12817,f40]) ).
thf(f12842,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_42
| ~ spl2_45
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12827,f712]) ).
thf(f12846,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_18
| ~ spl2_243
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12830,f7951]) ).
thf(f12848,plain,
( $false
| spl2_14
| spl2_52
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12832,f156]) ).
thf(f12849,plain,
( spl2_14
| spl2_52
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f12848]) ).
thf(f12850,plain,
( $false
| ~ spl2_7
| spl2_18
| spl2_52
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12833,f7951]) ).
thf(f12851,plain,
( ~ spl2_7
| spl2_18
| spl2_52
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f12850]) ).
thf(f12852,plain,
( spl2_51
| spl2_52
| ~ spl2_350 ),
inference(avatar_split_clause,[],[f12834,f12769,f1005,f1002]) ).
thf(f12853,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| spl2_264
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12835,f10500]) ).
thf(f12855,plain,
( $false
| ~ spl2_42
| ~ spl2_45
| spl2_264
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12842,f10500]) ).
thf(f12856,plain,
( ~ spl2_42
| ~ spl2_45
| spl2_264
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f12855]) ).
thf(f12859,plain,
( spl2_260
| spl2_18
| ~ spl2_243
| ~ spl2_350 ),
inference(avatar_split_clause,[],[f12846,f12769,f8998,f189,f9933]) ).
thf(f12862,plain,
( $false
| ~ spl2_44
| ~ spl2_162
| spl2_264
| ~ spl2_350 ),
inference(forward_subsumption_resolution,[],[f12853,f4419]) ).
thf(f12863,plain,
( ~ spl2_44
| ~ spl2_162
| spl2_264
| ~ spl2_350 ),
inference(avatar_contradiction_clause,[],[f12862]) ).
thf(f12875,definition,
( spl2_352
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_352])],[avatar_definition]) ).
thf(f12876,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_352 ),
inference(avatar_component_clause,[],[f12875]) ).
thf(f12884,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_247
| spl2_351 ),
inference(constrained_superposition,[],[f12774,f11489]) ).
thf(f12890,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_247
| spl2_351 ),
inference(trivial_inequality_removal,[],[f12884]) ).
thf(f12895,definition,
( spl2_353
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
thf(f12896,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_353 ),
inference(avatar_component_clause,[],[f12895]) ).
thf(f12898,definition,
( spl2_354
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_354])],[avatar_definition]) ).
thf(f12899,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_354 ),
inference(avatar_component_clause,[],[f12898]) ).
thf(f12904,plain,
( spl2_281
| spl2_350
| ~ spl2_247
| spl2_351 ),
inference(avatar_split_clause,[],[f12890,f12773,f9058,f12769,f10982]) ).
thf(f12936,definition,
( spl2_356
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_356])],[avatar_definition]) ).
thf(f12937,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_356 ),
inference(avatar_component_clause,[],[f12936]) ).
thf(f12939,definition,
( spl2_357
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_357])],[avatar_definition]) ).
thf(f12940,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_357 ),
inference(avatar_component_clause,[],[f12939]) ).
thf(f12951,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_356 ),
inference(constrained_superposition,[],[f12937,f50]) ).
thf(f12953,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_356 ),
inference(trivial_inequality_removal,[],[f12951]) ).
thf(f12955,plain,
( spl2_354
| spl2_356 ),
inference(avatar_split_clause,[],[f12953,f12936,f12898]) ).
thf(f12960,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_44
| ~ spl2_271
| ~ spl2_354 ),
inference(constrained_superposition,[],[f12507,f12899]) ).
thf(f12961,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_44
| ~ spl2_270
| ~ spl2_354 ),
inference(constrained_superposition,[],[f12465,f12899]) ).
thf(f12964,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_44
| ~ spl2_271
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f12960]) ).
thf(f12967,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_44
| ~ spl2_270
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f12961]) ).
thf(f12969,definition,
( spl2_359
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_359])],[avatar_definition]) ).
thf(f12970,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_359 ),
inference(avatar_component_clause,[],[f12969]) ).
thf(f12972,definition,
( spl2_360
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_360])],[avatar_definition]) ).
thf(f12973,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_360 ),
inference(avatar_component_clause,[],[f12972]) ).
thf(f12975,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_44
| ~ spl2_271
| spl2_351
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f12964,f12774]) ).
thf(f12978,definition,
( spl2_361
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_361])],[avatar_definition]) ).
thf(f12979,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_361 ),
inference(avatar_component_clause,[],[f12978]) ).
thf(f12981,definition,
( spl2_362
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_362])],[avatar_definition]) ).
thf(f12982,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_362 ),
inference(avatar_component_clause,[],[f12981]) ).
thf(f12983,plain,
( spl2_361
| spl2_350
| spl2_362
| ~ spl2_44
| ~ spl2_270
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f12967,f12898,f10217,f729,f12981,f12769,f12978]) ).
thf(f12984,plain,
( spl2_350
| spl2_361
| ~ spl2_44
| ~ spl2_271
| spl2_351
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f12975,f12898,f12773,f10223,f729,f12978,f12769]) ).
thf(f13001,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_45
| ~ spl2_361 ),
inference(constrained_superposition,[],[f10314,f12979]) ).
thf(f13002,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_44
| ~ spl2_361 ),
inference(constrained_superposition,[],[f10840,f12979]) ).
thf(f13036,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_42
| ~ spl2_45
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f13001,f712]) ).
thf(f13037,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| spl2_264
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f13002,f10500]) ).
thf(f13039,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_42
| ~ spl2_45
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f13036,f40]) ).
thf(f13040,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_44
| spl2_264
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f13037,f40]) ).
thf(f13042,plain,
( $false
| ~ spl2_42
| ~ spl2_45
| spl2_264
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f13039,f10500]) ).
thf(f13043,plain,
( ~ spl2_42
| ~ spl2_45
| spl2_264
| ~ spl2_361 ),
inference(avatar_contradiction_clause,[],[f13042]) ).
thf(f13044,plain,
( $false
| ~ spl2_44
| ~ spl2_162
| spl2_264
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f13040,f4419]) ).
thf(f13045,plain,
( ~ spl2_44
| ~ spl2_162
| spl2_264
| ~ spl2_361 ),
inference(avatar_contradiction_clause,[],[f13044]) ).
thf(f13051,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_357 ),
inference(constrained_superposition,[],[f12940,f29]) ).
thf(f13054,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_357 ),
inference(trivial_inequality_removal,[],[f13051]) ).
thf(f13058,plain,
( spl2_353
| ~ spl2_357 ),
inference(avatar_split_clause,[],[f13054,f12939,f12895]) ).
thf(f13081,definition,
( spl2_363
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_363])],[avatar_definition]) ).
thf(f13082,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_363 ),
inference(avatar_component_clause,[],[f13081]) ).
thf(f13095,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| spl2_363 ),
inference(constrained_superposition,[],[f13082,f51]) ).
thf(f13097,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_363 ),
inference(trivial_inequality_removal,[],[f13095]) ).
thf(f13099,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_363 ),
inference(forward_subsumption_resolution,[],[f13097,f40]) ).
thf(f13100,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_351 ),
inference(avatar_component_clause,[],[f12773]) ).
thf(f13102,plain,
( spl2_351
| spl2_363 ),
inference(avatar_split_clause,[],[f13099,f13081,f12773]) ).
thf(f13167,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_257
| ~ spl2_347 ),
inference(constrained_superposition,[],[f9633,f12712]) ).
thf(f13178,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_257
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f13167]) ).
thf(f13185,plain,
( $false
| ~ spl2_257
| ~ spl2_281
| ~ spl2_347 ),
inference(forward_subsumption_resolution,[],[f13178,f12767]) ).
thf(f13186,plain,
( ~ spl2_257
| ~ spl2_281
| ~ spl2_347 ),
inference(avatar_contradiction_clause,[],[f13185]) ).
thf(f13259,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_270
| ~ spl2_352 ),
inference(constrained_superposition,[],[f12876,f10218]) ).
thf(f13263,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_270
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f13259]) ).
thf(f13275,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_42
| ~ spl2_270
| ~ spl2_352 ),
inference(forward_subsumption_resolution,[],[f13263,f712]) ).
thf(f13277,plain,
( spl2_350
| spl2_361
| spl2_362
| ~ spl2_42
| ~ spl2_270
| ~ spl2_352 ),
inference(avatar_split_clause,[],[f13275,f12875,f10217,f711,f12981,f12978,f12769]) ).
thf(f13292,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_201
| ~ spl2_359 ),
inference(constrained_superposition,[],[f12970,f6947]) ).
thf(f13303,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_201
| ~ spl2_359 ),
inference(trivial_inequality_removal,[],[f13292]) ).
thf(f13313,definition,
( spl2_374
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_374])],[avatar_definition]) ).
thf(f13314,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_374 ),
inference(avatar_component_clause,[],[f13313]) ).
thf(f13319,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_201
| spl2_281
| ~ spl2_359 ),
inference(forward_subsumption_resolution,[],[f13303,f10983]) ).
thf(f13330,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_201
| spl2_281
| ~ spl2_359 ),
inference(forward_subsumption_resolution,[],[f13319,f40]) ).
thf(f13334,definition,
( spl2_376
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_376])],[avatar_definition]) ).
thf(f13335,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_376 ),
inference(avatar_component_clause,[],[f13334]) ).
thf(f13336,plain,
( spl2_376
| spl2_221
| ~ spl2_201
| spl2_281
| ~ spl2_359 ),
inference(avatar_split_clause,[],[f13330,f12969,f10982,f6946,f8157,f13334]) ).
thf(f13358,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_348 ),
inference(constrained_superposition,[],[f12732,f107]) ).
thf(f13379,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_348 ),
inference(trivial_inequality_removal,[],[f13358]) ).
thf(f13388,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_186 ),
inference(avatar_component_clause,[],[f6091]) ).
thf(f13438,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_270
| ~ spl2_349 ),
inference(constrained_superposition,[],[f12764,f10218]) ).
thf(f13448,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_270
| ~ spl2_349 ),
inference(trivial_inequality_removal,[],[f13438]) ).
thf(f13459,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_261 ),
inference(avatar_component_clause,[],[f9971]) ).
thf(f13460,plain,
( spl2_362
| spl2_361
| spl2_350
| ~ spl2_261
| ~ spl2_270
| ~ spl2_349 ),
inference(avatar_split_clause,[],[f13448,f12763,f10217,f9971,f12769,f12978,f12981]) ).
thf(f13590,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_281
| ~ spl2_353 ),
inference(constrained_superposition,[],[f10983,f12896]) ).
thf(f13606,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_281
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f13590]) ).
thf(f13610,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_354 ),
inference(avatar_component_clause,[],[f12898]) ).
thf(f13631,plain,
( $false
| spl2_281
| ~ spl2_353 ),
inference(forward_subsumption_resolution,[],[f13606,f40]) ).
thf(f13632,plain,
( spl2_281
| ~ spl2_353 ),
inference(avatar_contradiction_clause,[],[f13631]) ).
thf(f13763,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_363 ),
inference(avatar_component_clause,[],[f13081]) ).
thf(f13767,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_268 ),
inference(avatar_component_clause,[],[f10178]) ).
thf(f13768,plain,
( spl2_206
| ~ spl2_268
| ~ spl2_242
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f12725,f12694,f8994,f10178,f7013]) ).
thf(f13780,plain,
( ~ spl2_206
| ~ spl2_44
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f12726,f12694,f729,f7013]) ).
thf(f13782,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_232 ),
inference(avatar_component_clause,[],[f8700]) ).
thf(f13785,plain,
( spl2_206
| ~ spl2_266
| ~ spl2_7
| ~ spl2_348 ),
inference(avatar_split_clause,[],[f13379,f12731,f106,f10077,f7013]) ).
thf(f13788,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_229 ),
inference(avatar_component_clause,[],[f8653]) ).
thf(f13791,definition,
( spl2_382
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_382])],[avatar_definition]) ).
thf(f13792,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_382 ),
inference(avatar_component_clause,[],[f13791]) ).
thf(f13825,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_382 ),
inference(constrained_superposition,[],[f13792,f49]) ).
thf(f13828,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_382 ),
inference(trivial_inequality_removal,[],[f13825]) ).
thf(f13858,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_44
| ~ spl2_206 ),
inference(constrained_superposition,[],[f10840,f7014]) ).
thf(f13860,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_44
| ~ spl2_206
| ~ spl2_271 ),
inference(constrained_superposition,[],[f12507,f7014]) ).
thf(f13862,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_44
| ~ spl2_206
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f13860]) ).
thf(f13865,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_44
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f13858]) ).
thf(f13866,plain,
( spl2_232
| spl2_207
| spl2_211
| ~ spl2_44
| ~ spl2_206
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f13862,f10223,f7013,f729,f7092,f7016,f8700]) ).
thf(f13868,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_44
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f13865,f40]) ).
thf(f13869,plain,
( spl2_343
| ~ spl2_44
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f13868,f7013,f729,f12697]) ).
thf(f13870,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_12
| ~ spl2_229 ),
inference(constrained_superposition,[],[f10329,f13788]) ).
thf(f13871,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f74,f13788]) ).
thf(f13878,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_12
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f13870]) ).
thf(f13879,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f13871]) ).
thf(f13884,plain,
( ~ spl2_253
| spl2_228
| ~ spl2_12
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f13878,f8653,f148,f8482,f9386]) ).
thf(f13885,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_18
| ~ spl2_229 ),
inference(forward_subsumption_resolution,[],[f13879,f7951]) ).
thf(f13887,definition,
( spl2_385
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_385])],[avatar_definition]) ).
thf(f13888,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_385 ),
inference(avatar_component_clause,[],[f13887]) ).
thf(f13895,plain,
( ~ spl2_253
| spl2_228
| spl2_18
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f13885,f8653,f189,f8482,f9386]) ).
thf(f13993,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_276 ),
inference(avatar_component_clause,[],[f10503]) ).
thf(f13995,plain,
( ~ spl2_230
| spl2_65
| ~ spl2_262
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f10464,f10074,f9974,f2362,f8657]) ).
thf(f13999,definition,
( spl2_390
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_390])],[avatar_definition]) ).
thf(f14000,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_390 ),
inference(avatar_component_clause,[],[f13999]) ).
thf(f14022,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_17 ),
inference(avatar_component_clause,[],[f185]) ).
thf(f14023,plain,
( ~ spl2_17
| spl2_162
| ~ spl2_7
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f12044,f733,f106,f4418,f185]) ).
thf(f14024,plain,
( spl2_4
| spl2_268
| ~ spl2_14
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f10465,f10074,f155,f10178,f96]) ).
thf(f14040,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f55,f998]) ).
thf(f14049,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f14040]) ).
thf(f14054,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_17
| ~ spl2_22 ),
inference(constrained_superposition,[],[f14022,f11999]) ).
thf(f14055,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_17
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f14054]) ).
thf(f14056,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| spl2_17
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f14055,f40]) ).
thf(f14057,plain,
( spl2_23
| spl2_17
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f14056,f295,f185,f328]) ).
thf(f14098,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_22
| spl2_68 ),
inference(constrained_superposition,[],[f2375,f11999]) ).
thf(f14099,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_22
| spl2_68 ),
inference(trivial_inequality_removal,[],[f14098]) ).
thf(f14100,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_22
| spl2_68 ),
inference(forward_subsumption_resolution,[],[f14099,f40]) ).
thf(f14101,plain,
( spl2_201
| ~ spl2_22
| spl2_68 ),
inference(avatar_split_clause,[],[f14100,f2374,f295,f6946]) ).
thf(f14103,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_6
| spl2_268 ),
inference(constrained_superposition,[],[f13767,f103]) ).
thf(f14108,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_6
| spl2_268 ),
inference(trivial_inequality_removal,[],[f14103]) ).
thf(f14126,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_250 ),
inference(constrained_superposition,[],[f10314,f9370]) ).
thf(f14130,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_45
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f14126]) ).
thf(f14134,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_45
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f14130,f40]) ).
thf(f14136,plain,
( spl2_276
| ~ spl2_45
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f14134,f9369,f733,f10503]) ).
thf(f14137,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_51
| ~ spl2_229 ),
inference(constrained_superposition,[],[f1003,f13788]) ).
thf(f14138,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_51
| ~ spl2_215 ),
inference(constrained_superposition,[],[f1003,f7915]) ).
thf(f14140,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f1003,f49]) ).
thf(f14145,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f14140]) ).
thf(f14146,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_51
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f14137]) ).
thf(f14148,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_51
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f14138]) ).
thf(f14150,plain,
( ! [X0: $i] :
( ( r @ sK1 @ X0 )
!= $true )
| spl2_17
| ~ spl2_51 ),
inference(forward_subsumption_resolution,[],[f14145,f14022]) ).
thf(f14151,plain,
( spl2_228
| ~ spl2_51
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f14146,f8653,f1002,f8482]) ).
thf(f14152,plain,
( spl2_49
| ~ spl2_51
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f14148,f7914,f1002,f766]) ).
thf(f14153,plain,
( spl2_1
| spl2_17
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f14150,f1002,f185,f64]) ).
thf(f14156,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_186
| ~ spl2_242 ),
inference(constrained_superposition,[],[f8995,f6092]) ).
thf(f14157,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_15
| ~ spl2_186 ),
inference(constrained_superposition,[],[f162,f6092]) ).
thf(f14158,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_186
| ~ spl2_243 ),
inference(constrained_superposition,[],[f8999,f6092]) ).
thf(f14160,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f14157]) ).
thf(f14161,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_186
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f14156]) ).
thf(f14165,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_186
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f14158]) ).
thf(f14196,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_45
| ~ spl2_281 ),
inference(constrained_superposition,[],[f10314,f12767]) ).
thf(f14200,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_45
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f14196]) ).
thf(f14204,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_45
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f14200,f40]) ).
thf(f14219,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_44
| ~ spl2_220 ),
inference(constrained_superposition,[],[f730,f7958]) ).
thf(f14226,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_44
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f14219]) ).
thf(f14228,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_354
| ~ spl2_376 ),
inference(constrained_superposition,[],[f12899,f13335]) ).
thf(f14268,plain,
( $false
| spl2_170
| ~ spl2_354
| ~ spl2_376 ),
inference(forward_subsumption_resolution,[],[f14228,f4932]) ).
thf(f14269,plain,
( spl2_170
| ~ spl2_354
| ~ spl2_376 ),
inference(avatar_contradiction_clause,[],[f14268]) ).
thf(f14275,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_184
| ~ spl2_343 ),
inference(constrained_superposition,[],[f9500,f12698]) ).
thf(f14279,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_343 ),
inference(constrained_superposition,[],[f26,f12698]) ).
thf(f14285,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f14279]) ).
thf(f14286,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_184
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f14275]) ).
thf(f14292,plain,
( spl2_49
| ~ spl2_181
| ~ spl2_184
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f14286,f12697,f6084,f6051,f766]) ).
thf(f14299,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_265
| ~ spl2_276 ),
inference(constrained_superposition,[],[f10075,f13993]) ).
thf(f14313,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_265
| ~ spl2_276 ),
inference(trivial_inequality_removal,[],[f14299]) ).
thf(f14326,plain,
( ~ spl2_229
| spl2_228
| ~ spl2_265
| ~ spl2_276 ),
inference(avatar_split_clause,[],[f14313,f10503,f10074,f8482,f8653]) ).
thf(f14348,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_236
| ~ spl2_261 ),
inference(constrained_superposition,[],[f8918,f9972]) ).
thf(f14357,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_236
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f14348]) ).
thf(f14365,plain,
( $false
| ~ spl2_159
| ~ spl2_236
| ~ spl2_261 ),
inference(forward_subsumption_resolution,[],[f14357,f3950]) ).
thf(f14366,plain,
( ~ spl2_159
| ~ spl2_236
| ~ spl2_261 ),
inference(avatar_contradiction_clause,[],[f14365]) ).
thf(f14371,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_45
| ~ spl2_281 ),
inference(constrained_superposition,[],[f26,f14204]) ).
thf(f14381,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_45
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f14371]) ).
thf(f14435,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_256
| ~ spl2_344 ),
inference(constrained_superposition,[],[f9626,f12702]) ).
thf(f14436,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_344 ),
inference(constrained_superposition,[],[f168,f12702]) ).
thf(f14443,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f14436]) ).
thf(f14445,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_256
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f14435]) ).
thf(f14447,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_344
| ~ spl2_351 ),
inference(forward_subsumption_resolution,[],[f14443,f13100]) ).
thf(f14449,plain,
( $false
| ~ spl2_256
| ~ spl2_344
| ~ spl2_351 ),
inference(forward_subsumption_resolution,[],[f14445,f13100]) ).
thf(f14450,plain,
( ~ spl2_256
| ~ spl2_344
| ~ spl2_351 ),
inference(avatar_contradiction_clause,[],[f14449]) ).
thf(f14451,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_230 ),
inference(avatar_component_clause,[],[f8657]) ).
thf(f14452,plain,
( spl2_230
| spl2_191
| ~ spl2_344
| ~ spl2_351 ),
inference(avatar_split_clause,[],[f14447,f12773,f12701,f6195,f8657]) ).
thf(f14454,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f74,f14451]) ).
thf(f14455,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f57,f14451]) ).
thf(f14456,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f26,f14451]) ).
thf(f14461,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f14455]) ).
thf(f14462,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f14454]) ).
thf(f14466,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f14456]) ).
thf(f14467,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_17
| ~ spl2_230 ),
inference(forward_subsumption_resolution,[],[f14461,f14022]) ).
thf(f14468,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| spl2_18
| ~ spl2_230 ),
inference(forward_subsumption_resolution,[],[f14462,f7951]) ).
thf(f14471,definition,
( spl2_398
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_398])],[avatar_definition]) ).
thf(f14472,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| ~ spl2_398 ),
inference(avatar_component_clause,[],[f14471]) ).
thf(f14478,plain,
( spl2_390
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f14466,f8657,f13999]) ).
thf(f14479,plain,
( ~ spl2_251
| spl2_65
| spl2_17
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f14467,f8657,f185,f2362,f9374]) ).
thf(f14480,plain,
( spl2_65
| ~ spl2_251
| spl2_18
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f14468,f8657,f189,f9374,f2362]) ).
thf(f14488,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f26,f12705]) ).
thf(f14494,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f14488]) ).
thf(f14526,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_186
| ~ spl2_237 ),
inference(constrained_superposition,[],[f8922,f6092]) ).
thf(f14528,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_159
| ~ spl2_237 ),
inference(constrained_superposition,[],[f8922,f3950]) ).
thf(f14532,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_6
| ~ spl2_237 ),
inference(constrained_superposition,[],[f8922,f103]) ).
thf(f14536,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_237
| ~ spl2_250 ),
inference(constrained_superposition,[],[f8922,f9370]) ).
thf(f14540,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f14532]) ).
thf(f14541,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_159
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f14528]) ).
thf(f14551,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_186
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f14526]) ).
thf(f14554,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_237
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f14536]) ).
thf(f14555,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_6
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f14540,f8922]) ).
thf(f14556,plain,
( $false
| ~ spl2_159
| spl2_230
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f14541,f8658]) ).
thf(f14557,plain,
( ~ spl2_159
| spl2_230
| ~ spl2_237 ),
inference(avatar_contradiction_clause,[],[f14556]) ).
thf(f14566,plain,
( $false
| ~ spl2_186
| spl2_230
| ~ spl2_237 ),
inference(forward_subsumption_resolution,[],[f14551,f8658]) ).
thf(f14567,plain,
( ~ spl2_186
| spl2_230
| ~ spl2_237 ),
inference(avatar_contradiction_clause,[],[f14566]) ).
thf(f14569,plain,
( $false
| spl2_229
| ~ spl2_237
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f14554,f8654]) ).
thf(f14570,plain,
( spl2_229
| ~ spl2_237
| ~ spl2_250 ),
inference(avatar_contradiction_clause,[],[f14569]) ).
thf(f14571,plain,
( spl2_218
| ~ spl2_6
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f14555,f8921,f102,f7928]) ).
thf(f14591,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_159
| ~ spl2_193 ),
inference(constrained_superposition,[],[f6360,f3950]) ).
thf(f14592,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_7
| ~ spl2_193 ),
inference(constrained_superposition,[],[f6360,f107]) ).
thf(f14593,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_6
| ~ spl2_193 ),
inference(constrained_superposition,[],[f6360,f103]) ).
thf(f14599,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_6
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f14593]) ).
thf(f14603,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_159
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f14591]) ).
thf(f14605,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_7
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f14592]) ).
thf(f14681,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_250
| ~ spl2_348 ),
inference(constrained_superposition,[],[f12732,f9370]) ).
thf(f14688,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_250
| ~ spl2_348 ),
inference(trivial_inequality_removal,[],[f14681]) ).
thf(f14693,plain,
( $false
| ~ spl2_162
| ~ spl2_250
| ~ spl2_348 ),
inference(forward_subsumption_resolution,[],[f14688,f4419]) ).
thf(f14694,plain,
( ~ spl2_162
| ~ spl2_250
| ~ spl2_348 ),
inference(avatar_contradiction_clause,[],[f14693]) ).
thf(f14747,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_27 ),
inference(constrained_superposition,[],[f370,f29]) ).
thf(f14750,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f14747]) ).
thf(f14756,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_390 ),
inference(constrained_superposition,[],[f14000,f49]) ).
thf(f14763,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f14756]) ).
thf(f14765,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| spl2_68
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f14763,f2375]) ).
thf(f14766,plain,
( ! [X0: $i] :
( ( r @ sK1 @ X0 )
!= $true )
| ~ spl2_12
| spl2_68
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f14765,f998]) ).
thf(f14767,plain,
( spl2_1
| ~ spl2_12
| spl2_68
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f14766,f13999,f2374,f148,f64]) ).
thf(f14769,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_349
| ~ spl2_362 ),
inference(constrained_superposition,[],[f12764,f12982]) ).
thf(f14780,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_349
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f14769]) ).
thf(f14786,plain,
( $false
| ~ spl2_231
| ~ spl2_349
| ~ spl2_362 ),
inference(forward_subsumption_resolution,[],[f14780,f8667]) ).
thf(f14787,plain,
( ~ spl2_231
| ~ spl2_349
| ~ spl2_362 ),
inference(avatar_contradiction_clause,[],[f14786]) ).
thf(f14808,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_184
| ~ spl2_343 ),
inference(constrained_superposition,[],[f14285,f6085]) ).
thf(f14815,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_184
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f14808]) ).
thf(f14820,plain,
( ~ spl2_262
| spl2_65
| ~ spl2_184
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f14815,f12697,f6084,f2362,f9974]) ).
thf(f14826,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_45
| ~ spl2_281
| ~ spl2_345 ),
inference(constrained_superposition,[],[f14381,f12705]) ).
thf(f14833,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_45
| ~ spl2_281
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f14826]) ).
thf(f14836,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f14494,f12705]) ).
thf(f14840,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f14836]) ).
thf(f14974,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| ~ spl2_23 ),
inference(constrained_superposition,[],[f25,f329]) ).
thf(f14990,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f14974]) ).
thf(f14992,plain,
( spl2_8
| spl2_324
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f14990,f328,f11595,f117]) ).
thf(f15002,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_27 ),
inference(constrained_superposition,[],[f25,f14750]) ).
thf(f15011,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_27 ),
inference(trivial_inequality_removal,[],[f15002]) ).
thf(f15021,plain,
( spl2_8
| spl2_246
| ~ spl2_27 ),
inference(avatar_split_clause,[],[f15011,f369,f9053,f117]) ).
thf(f15423,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_271 ),
inference(constrained_superposition,[],[f10224,f29]) ).
thf(f15428,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_271 ),
inference(constrained_superposition,[],[f10224,f50]) ).
thf(f15431,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f15423]) ).
thf(f15434,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f15428]) ).
thf(f15649,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_12 ),
inference(extensionality_resolution,[],[f14049,f40]) ).
thf(f15662,plain,
( spl2_25
| ~ spl2_5
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f15649,f148,f99,f351]) ).
thf(f15665,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f352,f51]) ).
thf(f15669,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f15665]) ).
thf(f15692,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_25 ),
inference(constrained_superposition,[],[f25,f15669]) ).
thf(f15701,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
!= $true ) )
| ~ spl2_25 ),
inference(trivial_inequality_removal,[],[f15692]) ).
thf(f15710,plain,
( spl2_332
| spl2_8
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f15701,f351,f117,f11972]) ).
thf(f16295,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_186
| ~ spl2_332 ),
inference(constrained_superposition,[],[f11973,f6092]) ).
thf(f16334,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_186
| ~ spl2_332 ),
inference(trivial_inequality_removal,[],[f16295]) ).
thf(f16446,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_225
| ~ spl2_271 ),
inference(constrained_superposition,[],[f8393,f15431]) ).
thf(f16449,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_271
| ~ spl2_352 ),
inference(constrained_superposition,[],[f12876,f15431]) ).
thf(f16464,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_225
| ~ spl2_271 ),
inference(trivial_inequality_removal,[],[f16446]) ).
thf(f16479,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_271
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f16449]) ).
thf(f18884,definition,
( spl2_425
<=> ! [X2: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_425])],[avatar_definition]) ).
thf(f18885,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_425 ),
inference(avatar_component_clause,[],[f18884]) ).
thf(f18893,definition,
( spl2_427
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_427])],[avatar_definition]) ).
thf(f18894,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_427 ),
inference(avatar_component_clause,[],[f18893]) ).
thf(f18900,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_427 ),
inference(constrained_superposition,[],[f18894,f51]) ).
thf(f18901,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_427 ),
inference(constrained_superposition,[],[f18894,f29]) ).
thf(f18902,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| spl2_427 ),
inference(trivial_inequality_removal,[],[f18900]) ).
thf(f18904,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_427 ),
inference(trivial_inequality_removal,[],[f18901]) ).
thf(f18905,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| spl2_268
| spl2_427 ),
inference(forward_subsumption_resolution,[],[f18902,f13767]) ).
thf(f18908,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_268
| spl2_427 ),
inference(forward_subsumption_resolution,[],[f18904,f13767]) ).
thf(f18909,plain,
( $false
| spl2_268
| spl2_427 ),
inference(forward_subsumption_resolution,[],[f18905,f40]) ).
thf(f18910,plain,
( spl2_268
| spl2_427 ),
inference(avatar_contradiction_clause,[],[f18909]) ).
thf(f18911,plain,
( $false
| spl2_69
| spl2_268
| spl2_427 ),
inference(forward_subsumption_resolution,[],[f18908,f6022]) ).
thf(f18912,plain,
( spl2_69
| spl2_268
| spl2_427 ),
inference(avatar_contradiction_clause,[],[f18911]) ).
thf(f22956,definition,
( spl2_462
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_462])],[avatar_definition]) ).
thf(f22957,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_462 ),
inference(avatar_component_clause,[],[f22956]) ).
thf(f23155,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_12
| ~ spl2_265 ),
inference(forward_subsumption_resolution,[],[f10462,f998]) ).
thf(f23168,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_42 ),
inference(avatar_component_clause,[],[f711]) ).
thf(f23242,plain,
( spl2_42
| ~ spl2_6
| spl2_268 ),
inference(avatar_split_clause,[],[f14108,f10178,f102,f711]) ).
thf(f23245,definition,
( spl2_477
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_477])],[avatar_definition]) ).
thf(f23246,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_477 ),
inference(avatar_component_clause,[],[f23245]) ).
thf(f23247,plain,
( spl2_42
| spl2_477
| ~ spl2_44
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f14226,f7957,f729,f23245,f711]) ).
thf(f23374,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_6
| spl2_68
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f14599,f2375]) ).
thf(f23431,plain,
( spl2_42
| spl2_382 ),
inference(avatar_split_clause,[],[f13828,f13791,f711]) ).
thf(f23439,plain,
( spl2_351
| spl2_350
| spl2_361
| ~ spl2_42
| ~ spl2_271
| ~ spl2_352 ),
inference(avatar_split_clause,[],[f16479,f12875,f10223,f711,f12978,f12769,f12773]) ).
thf(f23440,plain,
( ~ spl2_266
| ~ spl2_159
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f14603,f6359,f3949,f10077]) ).
thf(f23448,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_7
| spl2_170
| ~ spl2_193 ),
inference(forward_subsumption_resolution,[],[f14605,f4932]) ).
thf(f23472,plain,
( spl2_42
| spl2_1
| ~ spl2_12
| ~ spl2_265 ),
inference(avatar_split_clause,[],[f23155,f10074,f148,f64,f711]) ).
thf(f23605,plain,
( ~ spl2_266
| ~ spl2_6
| spl2_68
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f23374,f6359,f2374,f102,f10077]) ).
thf(f23638,plain,
( ~ spl2_266
| ~ spl2_7
| spl2_170
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f23448,f6359,f4931,f106,f10077]) ).
thf(f23765,plain,
( ~ spl2_268
| spl2_68
| ~ spl2_15
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f14160,f6091,f161,f2374,f10178]) ).
thf(f23775,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_170
| ~ spl2_186
| ~ spl2_242 ),
inference(forward_subsumption_resolution,[],[f14161,f4932]) ).
thf(f23777,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_186
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f16334,f40]) ).
thf(f23783,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_170
| ~ spl2_186
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f14165,f4932]) ).
thf(f23785,plain,
( spl2_65
| ~ spl2_262
| ~ spl2_45
| ~ spl2_281
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f14833,f12704,f10982,f733,f9974,f2362]) ).
thf(f23821,plain,
( ~ spl2_268
| spl2_170
| ~ spl2_186
| ~ spl2_242 ),
inference(avatar_split_clause,[],[f23775,f8994,f6091,f4931,f10178]) ).
thf(f23823,plain,
( spl2_68
| ~ spl2_268
| ~ spl2_186
| ~ spl2_332 ),
inference(avatar_split_clause,[],[f23777,f11972,f6091,f10178,f2374]) ).
thf(f23828,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_170
| ~ spl2_186
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f23783,f40]) ).
thf(f23840,plain,
( ~ spl2_268
| spl2_170
| ~ spl2_186
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f23828,f8998,f6091,f4931,f10178]) ).
thf(f23853,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_271 ),
inference(forward_subsumption_resolution,[],[f15434,f40]) ).
thf(f23856,plain,
( ~ spl2_42
| spl2_232
| spl2_207
| spl2_211
| ~ spl2_225
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f16464,f10223,f8392,f7092,f7016,f8700,f711]) ).
thf(f23858,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_17
| ~ spl2_271 ),
inference(forward_subsumption_resolution,[],[f23853,f14022]) ).
thf(f23860,plain,
( spl2_162
| spl2_17
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f23858,f10223,f185,f4418]) ).
thf(f23890,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_162
| ~ spl2_270 ),
inference(constrained_superposition,[],[f5645,f10218]) ).
thf(f23891,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_162
| ~ spl2_270 ),
inference(trivial_inequality_removal,[],[f23890]) ).
thf(f23892,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_18
| spl2_162
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f23891,f7951]) ).
thf(f23893,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_18
| spl2_162
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f23892,f40]) ).
thf(f23894,plain,
( $false
| spl2_18
| spl2_162
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f23893,f40]) ).
thf(f23895,plain,
( spl2_18
| spl2_162
| ~ spl2_270 ),
inference(avatar_contradiction_clause,[],[f23894]) ).
thf(f23896,plain,
( $false
| ~ spl2_19
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f23168,f215]) ).
thf(f23897,plain,
( ~ spl2_19
| spl2_42 ),
inference(avatar_contradiction_clause,[],[f23896]) ).
thf(f23899,plain,
( ~ spl2_233
| spl2_65
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f14840,f12704,f2362,f8826]) ).
thf(f23910,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_22
| spl2_42 ),
inference(constrained_superposition,[],[f23168,f11999]) ).
thf(f23911,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_22
| spl2_42 ),
inference(trivial_inequality_removal,[],[f23910]) ).
thf(f23917,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_22
| spl2_42 ),
inference(forward_subsumption_resolution,[],[f23911,f40]) ).
thf(f23924,plain,
( spl2_194
| ~ spl2_22
| spl2_42 ),
inference(avatar_split_clause,[],[f23917,f711,f295,f6433]) ).
thf(f23937,plain,
( ( $true != $true )
| ~ spl2_65
| ~ spl2_188 ),
inference(constrained_superposition,[],[f2363,f6099]) ).
thf(f23938,plain,
( ( $true != $true )
| ~ spl2_65
| ~ spl2_346 ),
inference(constrained_superposition,[],[f2363,f12709]) ).
thf(f23939,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_65 ),
inference(constrained_superposition,[],[f2363,f49]) ).
thf(f23943,plain,
( $false
| ~ spl2_65
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f23937]) ).
thf(f23944,plain,
( ~ spl2_65
| ~ spl2_188 ),
inference(avatar_contradiction_clause,[],[f23943]) ).
thf(f23945,plain,
( $false
| ~ spl2_65
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f23938]) ).
thf(f23946,plain,
( ~ spl2_65
| ~ spl2_346 ),
inference(avatar_contradiction_clause,[],[f23945]) ).
thf(f23947,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f23939]) ).
thf(f23950,plain,
( spl2_68
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f23947,f2362,f2374]) ).
thf(f23986,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f168,f6160]) ).
thf(f23988,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f23986]) ).
thf(f23997,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_268
| ~ spl2_324 ),
inference(constrained_superposition,[],[f11596,f10179]) ).
thf(f24013,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_268
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f23997]) ).
thf(f24019,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_234 ),
inference(constrained_superposition,[],[f8833,f79]) ).
thf(f24024,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_234 ),
inference(trivial_inequality_removal,[],[f24019]) ).
thf(f24028,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f26,f6052]) ).
thf(f24037,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f24028]) ).
thf(f24043,plain,
( spl2_425
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f24037,f6051,f18884]) ).
thf(f24297,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_254
| ~ spl2_342 ),
inference(constrained_superposition,[],[f9466,f12695]) ).
thf(f24307,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_254
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f24297]) ).
thf(f24313,plain,
( $false
| ~ spl2_254
| ~ spl2_268
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f24307,f10179]) ).
thf(f24314,plain,
( ~ spl2_254
| ~ spl2_268
| ~ spl2_342 ),
inference(avatar_contradiction_clause,[],[f24313]) ).
thf(f24344,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_236 ),
inference(constrained_superposition,[],[f8918,f81]) ).
thf(f24362,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f24344]) ).
thf(f24373,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_258 ),
inference(constrained_superposition,[],[f9681,f80]) ).
thf(f24383,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f24373]) ).
thf(f24420,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_263 ),
inference(constrained_superposition,[],[f10035,f81]) ).
thf(f24426,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f24420]) ).
thf(f24643,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_278 ),
inference(constrained_superposition,[],[f10533,f80]) ).
thf(f24651,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f24643]) ).
thf(f24756,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_425 ),
inference(constrained_superposition,[],[f18885,f79]) ).
thf(f24757,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_188
| ~ spl2_425 ),
inference(constrained_superposition,[],[f18885,f6099]) ).
thf(f24764,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_188
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f24757]) ).
thf(f24768,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_425 ),
inference(trivial_inequality_removal,[],[f24756]) ).
thf(f24876,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_167
| spl2_186 ),
inference(constrained_superposition,[],[f13388,f4703]) ).
thf(f24896,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_167
| spl2_186 ),
inference(trivial_inequality_removal,[],[f24876]) ).
thf(f24908,plain,
( spl2_59
| ~ spl2_167
| spl2_186 ),
inference(avatar_split_clause,[],[f24896,f6091,f4702,f2329]) ).
thf(f24927,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324 ),
inference(constrained_superposition,[],[f24013,f7958]) ).
thf(f24928,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324 ),
inference(duplicate_literal_removal,[],[f24927]) ).
thf(f24929,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f24928]) ).
thf(f24932,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_42
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324 ),
inference(forward_subsumption_resolution,[],[f24929,f23168]) ).
thf(f24940,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_42
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324 ),
inference(constrained_superposition,[],[f25,f24932]) ).
thf(f24957,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( sK1 = X0 ) )
| spl2_42
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f24940]) ).
thf(f24959,definition,
( spl2_524
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_524])],[avatar_definition]) ).
thf(f24960,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_524 ),
inference(avatar_component_clause,[],[f24959]) ).
thf(f24961,plain,
( spl2_10
| spl2_524
| spl2_42
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324 ),
inference(avatar_split_clause,[],[f24957,f11595,f10178,f7957,f711,f24959,f132]) ).
thf(f24984,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( sK1 = X1 ) )
| spl2_42
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324
| ~ spl2_524 ),
inference(constrained_superposition,[],[f24960,f24932]) ).
thf(f24991,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_42
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324
| ~ spl2_524 ),
inference(trivial_inequality_removal,[],[f24984]) ).
thf(f25011,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_15
| ~ spl2_194 ),
inference(constrained_superposition,[],[f162,f6434]) ).
thf(f25021,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_15
| ~ spl2_194 ),
inference(duplicate_literal_removal,[],[f25011]) ).
thf(f25022,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_194 ),
inference(trivial_inequality_removal,[],[f25021]) ).
thf(f25043,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_15
| ~ spl2_194
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f25022,f10179]) ).
thf(f25046,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_15
| ~ spl2_194
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f25043,f40]) ).
thf(f25092,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true ) )
| ~ spl2_15
| ~ spl2_194
| ~ spl2_268 ),
inference(constrained_superposition,[],[f25,f25046]) ).
thf(f25094,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_15
| ~ spl2_194
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f25092]) ).
thf(f25107,definition,
( spl2_527
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_527])],[avatar_definition]) ).
thf(f25108,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_527 ),
inference(avatar_component_clause,[],[f25107]) ).
thf(f25109,plain,
( spl2_10
| spl2_527
| ~ spl2_15
| ~ spl2_194
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f25094,f10178,f6433,f161,f25107,f132]) ).
thf(f25922,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_236 ),
inference(constrained_superposition,[],[f24362,f107]) ).
thf(f25938,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f25922]) ).
thf(f25954,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_236 ),
inference(constrained_superposition,[],[f74,f25938]) ).
thf(f25964,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_7
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f25954]) ).
thf(f25973,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_7
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f25964,f50]) ).
thf(f25975,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| spl2_162
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f25973,f5645]) ).
thf(f25985,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ X1 ) ) ) )
| ~ spl2_7
| spl2_162
| ~ spl2_236 ),
inference(constrained_superposition,[],[f25975,f51]) ).
thf(f25989,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ X1 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| spl2_162
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f25985]) ).
thf(f26198,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| spl2_162
| ~ spl2_236
| ~ spl2_242 ),
inference(constrained_superposition,[],[f8995,f25989]) ).
thf(f26254,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7
| spl2_162
| ~ spl2_236
| ~ spl2_242 ),
inference(duplicate_literal_removal,[],[f26198]) ).
thf(f26255,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_7
| spl2_162
| ~ spl2_236
| ~ spl2_242 ),
inference(trivial_inequality_removal,[],[f26254]) ).
thf(f26333,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_7
| spl2_162
| ~ spl2_236
| ~ spl2_242
| ~ spl2_268 ),
inference(constrained_superposition,[],[f26255,f10179]) ).
thf(f26351,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_7
| spl2_162
| ~ spl2_236
| ~ spl2_242
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f26333]) ).
thf(f26360,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_7
| spl2_162
| ~ spl2_236
| ~ spl2_242
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f26351,f48]) ).
thf(f26365,plain,
( spl2_245
| ~ spl2_7
| spl2_162
| ~ spl2_236
| ~ spl2_242
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f26360,f10178,f8994,f8917,f4418,f106,f9011]) ).
thf(f26540,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_184
| ~ spl2_275 ),
inference(constrained_superposition,[],[f10302,f6085]) ).
thf(f26549,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_184
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f26540]) ).
thf(f26653,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_263 ),
inference(constrained_superposition,[],[f24426,f80]) ).
thf(f26662,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f26653]) ).
thf(f26678,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_263 ),
inference(constrained_superposition,[],[f57,f26662]) ).
thf(f26687,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f26678]) ).
thf(f26710,definition,
( spl2_537
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_537])],[avatar_definition]) ).
thf(f26711,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_537 ),
inference(avatar_component_clause,[],[f26710]) ).
thf(f26712,plain,
( ~ spl2_272
| spl2_49
| spl2_537
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f26687,f10034,f26710,f766,f10227]) ).
thf(f26798,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_22
| spl2_69 ),
inference(extensionality_resolution,[],[f11977,f6022]) ).
thf(f26799,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_22
| spl2_69 ),
inference(extensionality_resolution,[],[f11977,f6022]) ).
thf(f26803,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_22 ),
inference(extensionality_resolution,[],[f11977,f40]) ).
thf(f26804,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_22
| spl2_166 ),
inference(extensionality_resolution,[],[f11977,f12675]) ).
thf(f26805,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_22
| spl2_166 ),
inference(extensionality_resolution,[],[f11977,f12675]) ).
thf(f26812,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_22
| spl2_69
| spl2_186 ),
inference(forward_subsumption_resolution,[],[f26799,f13388]) ).
thf(f26814,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_12
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f26803,f998]) ).
thf(f26815,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_22
| spl2_69
| spl2_261 ),
inference(forward_subsumption_resolution,[],[f26798,f13459]) ).
thf(f26817,plain,
( ~ spl2_249
| ~ spl2_382
| ~ spl2_22
| spl2_69
| spl2_186 ),
inference(avatar_split_clause,[],[f26812,f6091,f2487,f295,f13791,f9364]) ).
thf(f26818,plain,
( ~ spl2_249
| ~ spl2_382
| ~ spl2_22
| spl2_69
| spl2_261 ),
inference(avatar_split_clause,[],[f26815,f9971,f2487,f295,f13791,f9364]) ).
thf(f26827,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_12
| ~ spl2_22 ),
inference(constrained_superposition,[],[f26814,f49]) ).
thf(f26829,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_12
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f26827]) ).
thf(f26836,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_12
| ~ spl2_22
| ~ spl2_263 ),
inference(constrained_superposition,[],[f24426,f26829]) ).
thf(f26855,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_12
| ~ spl2_22
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f26836]) ).
thf(f26929,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_12
| ~ spl2_22
| ~ spl2_263 ),
inference(constrained_superposition,[],[f57,f26855]) ).
thf(f26945,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_12
| ~ spl2_22
| ~ spl2_263 ),
inference(duplicate_literal_removal,[],[f26929]) ).
thf(f26946,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_12
| ~ spl2_22
| ~ spl2_263 ),
inference(trivial_inequality_removal,[],[f26945]) ).
thf(f26961,plain,
( ~ spl2_272
| spl2_49
| spl2_316
| ~ spl2_12
| ~ spl2_22
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f26946,f10034,f295,f148,f11456,f766,f10227]) ).
thf(f26981,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_316 ),
inference(constrained_superposition,[],[f25,f11457]) ).
thf(f26990,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true ) )
| ~ spl2_316 ),
inference(trivial_inequality_removal,[],[f26981]) ).
thf(f27004,plain,
( spl2_295
| spl2_10
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f26990,f11456,f132,f11354]) ).
thf(f27006,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( sK1 = X0 )
| ( X0 = X1 )
| ( $true != $true ) )
| ~ spl2_295 ),
inference(constrained_superposition,[],[f11355,f81]) ).
thf(f27061,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X1 ) ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true ) )
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f27006]) ).
thf(f27070,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_250
| ~ spl2_295 ),
inference(constrained_superposition,[],[f27061,f9370]) ).
thf(f27093,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_250
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f27070]) ).
thf(f27356,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_250
| ~ spl2_295
| ~ spl2_345 ),
inference(constrained_superposition,[],[f14494,f27093]) ).
thf(f27374,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_250
| ~ spl2_295
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f27356]) ).
thf(f27386,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_250
| ~ spl2_295
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f27374,f40]) ).
thf(f27396,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_188
| ~ spl2_250
| ~ spl2_295
| ~ spl2_345 ),
inference(forward_subsumption_resolution,[],[f27386,f6099]) ).
thf(f27398,plain,
( spl2_59
| spl2_228
| ~ spl2_188
| ~ spl2_250
| ~ spl2_295
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f27396,f12704,f11354,f9369,f6098,f8482,f2329]) ).
thf(f27409,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_63
| ~ spl2_277 ),
inference(constrained_superposition,[],[f2356,f10512]) ).
thf(f27411,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_63
| ~ spl2_268 ),
inference(constrained_superposition,[],[f2356,f10179]) ).
thf(f27412,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_63 ),
inference(constrained_superposition,[],[f2356,f107]) ).
thf(f27414,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_25
| ~ spl2_63 ),
inference(constrained_superposition,[],[f2356,f15669]) ).
thf(f27427,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_63
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f27409]) ).
thf(f27432,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_63
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f27411]) ).
thf(f27434,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_7
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f27412]) ).
thf(f27438,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_25
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f27414]) ).
thf(f27441,plain,
( spl2_235
| ~ spl2_63
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f27427,f10511,f2355,f8892]) ).
thf(f27444,plain,
( spl2_29
| ~ spl2_63
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f27432,f10178,f2355,f441]) ).
thf(f27446,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_7
| ~ spl2_63
| spl2_162 ),
inference(forward_subsumption_resolution,[],[f27434,f5645]) ).
thf(f27449,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_25
| ~ spl2_63 ),
inference(forward_subsumption_resolution,[],[f27438,f40]) ).
thf(f27455,plain,
( spl2_29
| ~ spl2_7
| ~ spl2_63
| spl2_162 ),
inference(avatar_split_clause,[],[f27446,f4418,f2355,f106,f441]) ).
thf(f27458,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_25
| spl2_42
| ~ spl2_63 ),
inference(forward_subsumption_resolution,[],[f27449,f23168]) ).
thf(f27464,plain,
( spl2_29
| ~ spl2_25
| spl2_42
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f27458,f2355,f711,f351,f441]) ).
thf(f27467,plain,
( spl2_4
| spl2_159
| ~ spl2_427
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f24768,f18884,f18893,f3949,f96]) ).
thf(f27470,definition,
( spl2_548
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_548])],[avatar_definition]) ).
thf(f27471,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_548 ),
inference(avatar_component_clause,[],[f27470]) ).
thf(f27472,plain,
( ~ spl2_548
| ~ spl2_382
| spl2_277
| ~ spl2_22
| spl2_166 ),
inference(avatar_split_clause,[],[f26805,f4699,f295,f10511,f13791,f27470]) ).
thf(f27474,plain,
( spl2_159
| spl2_234 ),
inference(avatar_split_clause,[],[f24024,f8832,f3949]) ).
thf(f27477,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_268
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f24651,f10179]) ).
thf(f27478,plain,
( spl2_277
| spl2_211
| ~ spl2_184
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f26549,f10301,f6084,f7092,f10511]) ).
thf(f27479,plain,
( ~ spl2_276
| spl2_228
| ~ spl2_188
| ~ spl2_425 ),
inference(avatar_split_clause,[],[f24764,f18884,f6098,f8482,f10503]) ).
thf(f27483,plain,
( ~ spl2_548
| ~ spl2_382
| spl2_342
| ~ spl2_22
| spl2_166 ),
inference(avatar_split_clause,[],[f26804,f4699,f295,f12694,f13791,f27470]) ).
thf(f27486,plain,
( spl2_229
| ~ spl2_268
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f27477,f10532,f10178,f8653]) ).
thf(f27493,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_548 ),
inference(constrained_superposition,[],[f27471,f49]) ).
thf(f27495,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_548 ),
inference(trivial_inequality_removal,[],[f27493]) ).
thf(f27626,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_208
| ~ spl2_236 ),
inference(constrained_superposition,[],[f24362,f7026]) ).
thf(f27632,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_348 ),
inference(constrained_superposition,[],[f12732,f7026]) ).
thf(f27652,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_208
| ~ spl2_348 ),
inference(trivial_inequality_removal,[],[f27632]) ).
thf(f27657,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_208
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f27626]) ).
thf(f27671,plain,
( $false
| ~ spl2_208
| ~ spl2_266
| ~ spl2_348 ),
inference(forward_subsumption_resolution,[],[f27652,f10078]) ).
thf(f27672,plain,
( ~ spl2_208
| ~ spl2_266
| ~ spl2_348 ),
inference(avatar_contradiction_clause,[],[f27671]) ).
thf(f27673,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_208
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f27657,f40]) ).
thf(f27675,plain,
( spl2_276
| ~ spl2_208
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f27673,f8917,f7025,f10503]) ).
thf(f27676,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_229
| ~ spl2_537 ),
inference(constrained_superposition,[],[f8654,f26711]) ).
thf(f27680,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_229
| ~ spl2_537 ),
inference(trivial_inequality_removal,[],[f27676]) ).
thf(f27819,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_351
| ~ spl2_360 ),
inference(constrained_superposition,[],[f12973,f13100]) ).
thf(f27828,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_351
| ~ spl2_360 ),
inference(trivial_inequality_removal,[],[f27819]) ).
thf(f27862,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_258
| ~ spl2_344 ),
inference(constrained_superposition,[],[f9681,f12702]) ).
thf(f27868,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_344
| ~ spl2_352 ),
inference(constrained_superposition,[],[f12876,f12702]) ).
thf(f27873,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_295
| ~ spl2_344 ),
inference(constrained_superposition,[],[f11355,f12702]) ).
thf(f27883,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_42
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324
| ~ spl2_344
| ~ spl2_524 ),
inference(constrained_superposition,[],[f24991,f12702]) ).
thf(f27889,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_344
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f27868]) ).
thf(f27892,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_258
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f27862]) ).
thf(f27896,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_42
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324
| ~ spl2_344
| ~ spl2_524 ),
inference(trivial_inequality_removal,[],[f27883]) ).
thf(f27905,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_295
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f27873]) ).
thf(f27911,plain,
( $false
| ~ spl2_68
| ~ spl2_344
| ~ spl2_352 ),
inference(forward_subsumption_resolution,[],[f27889,f10150]) ).
thf(f27912,plain,
( ~ spl2_68
| ~ spl2_344
| ~ spl2_352 ),
inference(avatar_contradiction_clause,[],[f27911]) ).
thf(f27914,plain,
( $false
| ~ spl2_258
| ~ spl2_344
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f27892,f12899]) ).
thf(f27915,plain,
( ~ spl2_258
| ~ spl2_344
| ~ spl2_354 ),
inference(avatar_contradiction_clause,[],[f27914]) ).
thf(f27918,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_42
| spl2_166
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324
| ~ spl2_344
| ~ spl2_524 ),
inference(forward_subsumption_resolution,[],[f27896,f12675]) ).
thf(f27923,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_68
| ~ spl2_295
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f27905,f10150]) ).
thf(f27930,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_42
| spl2_166
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324
| ~ spl2_344
| ~ spl2_524 ),
inference(forward_subsumption_resolution,[],[f27918,f40]) ).
thf(f27934,plain,
( $false
| ~ spl2_68
| ~ spl2_295
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f27923,f40]) ).
thf(f27935,plain,
( ~ spl2_68
| ~ spl2_295
| ~ spl2_344 ),
inference(avatar_contradiction_clause,[],[f27934]) ).
thf(f27939,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_42
| spl2_166
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324
| ~ spl2_344
| ~ spl2_524 ),
inference(forward_subsumption_resolution,[],[f27930,f40]) ).
thf(f27940,plain,
( spl2_361
| spl2_350
| spl2_59
| spl2_42
| spl2_166
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324
| ~ spl2_344
| ~ spl2_524 ),
inference(avatar_split_clause,[],[f27939,f24959,f12701,f11595,f10178,f7957,f4699,f711,f2329,f12769,f12978]) ).
thf(f27942,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| spl2_229
| ~ spl2_537 ),
inference(forward_subsumption_resolution,[],[f27680,f40]) ).
thf(f27948,plain,
( spl2_250
| spl2_548 ),
inference(avatar_split_clause,[],[f27495,f27470,f9369]) ).
thf(f27949,plain,
( spl2_250
| spl2_229
| ~ spl2_537 ),
inference(avatar_split_clause,[],[f27942,f26710,f8653,f9369]) ).
thf(f27950,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_159
| ~ spl2_236 ),
inference(constrained_superposition,[],[f24362,f3950]) ).
thf(f27956,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_159
| ~ spl2_257 ),
inference(constrained_superposition,[],[f9633,f3950]) ).
thf(f27962,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_159
| ~ spl2_527 ),
inference(constrained_superposition,[],[f25108,f3950]) ).
thf(f27975,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_159
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f27950]) ).
thf(f27985,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_159
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f27956]) ).
thf(f27986,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_159
| ~ spl2_527 ),
inference(trivial_inequality_removal,[],[f27962]) ).
thf(f27990,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_159
| ~ spl2_236 ),
inference(forward_subsumption_resolution,[],[f27975,f40]) ).
thf(f27993,plain,
( spl2_262
| ~ spl2_159
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f27990,f8917,f3949,f9974]) ).
thf(f28074,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_12
| ~ spl2_22
| spl2_232 ),
inference(constrained_superposition,[],[f13782,f26829]) ).
thf(f28079,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_220
| spl2_232 ),
inference(constrained_superposition,[],[f13782,f7958]) ).
thf(f28081,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ~ spl2_12
| ~ spl2_22
| spl2_232 ),
inference(trivial_inequality_removal,[],[f28074]) ).
thf(f28083,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_220
| spl2_232 ),
inference(trivial_inequality_removal,[],[f28079]) ).
thf(f28087,plain,
( spl2_250
| ~ spl2_12
| ~ spl2_22
| spl2_232 ),
inference(avatar_split_clause,[],[f28081,f8700,f295,f148,f9369]) ).
thf(f28088,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_220
| spl2_232 ),
inference(forward_subsumption_resolution,[],[f28083,f40]) ).
thf(f28090,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_17
| ~ spl2_220
| spl2_232 ),
inference(forward_subsumption_resolution,[],[f28088,f14022]) ).
thf(f28092,plain,
( spl2_250
| spl2_207
| spl2_17
| ~ spl2_220
| spl2_232 ),
inference(avatar_split_clause,[],[f28090,f8700,f7957,f185,f7016,f9369]) ).
thf(f28112,plain,
( ~ spl2_17
| ~ spl2_159
| ~ spl2_257 ),
inference(avatar_split_clause,[],[f27985,f9632,f3949,f185]) ).
thf(f28123,plain,
( spl2_59
| ~ spl2_17
| ~ spl2_159
| ~ spl2_527 ),
inference(avatar_split_clause,[],[f27986,f25107,f3949,f185,f2329]) ).
thf(f28193,plain,
( ~ spl2_17
| spl2_191
| spl2_230
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f23988,f4931,f8657,f6195,f185]) ).
thf(f28200,plain,
( ( $true != $true )
| spl2_18
| ~ spl2_21 ),
inference(constrained_superposition,[],[f7951,f293]) ).
thf(f28211,plain,
( $false
| spl2_18
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f28200]) ).
thf(f28212,plain,
( spl2_18
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f28211]) ).
thf(f28224,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_21
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f24383,f293]) ).
thf(f28229,plain,
( $false
| ~ spl2_21
| ~ spl2_351
| ~ spl2_360 ),
inference(forward_subsumption_resolution,[],[f27828,f293]) ).
thf(f28230,plain,
( ~ spl2_21
| ~ spl2_351
| ~ spl2_360 ),
inference(avatar_contradiction_clause,[],[f28229]) ).
thf(f28237,plain,
( spl2_230
| ~ spl2_21
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f28224,f9680,f292,f8657]) ).
thf(f28291,plain,
( $false
| ~ spl2_21
| spl2_206 ),
inference(forward_subsumption_resolution,[],[f12116,f293]) ).
thf(f28292,plain,
( ~ spl2_21
| spl2_206 ),
inference(avatar_contradiction_clause,[],[f28291]) ).
thf(f28353,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_206
| ~ spl2_245 ),
inference(constrained_superposition,[],[f12116,f9012]) ).
thf(f28356,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_206
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f28353]) ).
thf(f28358,plain,
( $false
| spl2_206
| ~ spl2_245 ),
inference(forward_subsumption_resolution,[],[f28356,f40]) ).
thf(f28359,plain,
( spl2_206
| ~ spl2_245 ),
inference(avatar_contradiction_clause,[],[f28358]) ).
thf(f28381,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f136,f80]) ).
thf(f28382,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_11
| ~ spl2_351 ),
inference(constrained_superposition,[],[f136,f13100]) ).
thf(f28388,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_11
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f28382]) ).
thf(f28389,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f28381]) ).
thf(f28390,plain,
( ~ spl2_281
| ~ spl2_11
| ~ spl2_351 ),
inference(avatar_split_clause,[],[f28388,f12773,f135,f10982]) ).
thf(f28456,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f168,f6092]) ).
thf(f28470,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f25,f6092]) ).
thf(f28478,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f28456]) ).
thf(f28482,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f28470]) ).
thf(f28483,plain,
( spl2_193
| spl2_63
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f28482,f6091,f2355,f6359]) ).
thf(f28485,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_261 ),
inference(constrained_superposition,[],[f168,f9972]) ).
thf(f28492,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f28485]) ).
thf(f28510,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_208
| ~ spl2_225 ),
inference(constrained_superposition,[],[f8393,f7026]) ).
thf(f28518,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_208
| ~ spl2_527 ),
inference(constrained_superposition,[],[f25108,f7026]) ).
thf(f28531,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_208
| ~ spl2_527 ),
inference(trivial_inequality_removal,[],[f28518]) ).
thf(f28533,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_208
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f28510]) ).
thf(f28547,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| ~ spl2_208
| ~ spl2_527 ),
inference(forward_subsumption_resolution,[],[f28531,f186]) ).
thf(f28549,plain,
( $false
| ~ spl2_17
| ~ spl2_208
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f28533,f186]) ).
thf(f28550,plain,
( ~ spl2_17
| ~ spl2_208
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f28549]) ).
thf(f28559,plain,
( spl2_211
| ~ spl2_17
| ~ spl2_208
| ~ spl2_527 ),
inference(avatar_split_clause,[],[f28547,f25107,f7025,f185,f7092]) ).
thf(f28576,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_232 ),
inference(constrained_superposition,[],[f136,f8701]) ).
thf(f28579,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_11
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f28576]) ).
thf(f28595,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_277 ),
inference(constrained_superposition,[],[f168,f10512]) ).
thf(f28606,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f28595]) ).
thf(f28622,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_342 ),
inference(constrained_superposition,[],[f168,f12695]) ).
thf(f28627,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f28622]) ).
thf(f28657,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_362 ),
inference(constrained_superposition,[],[f121,f12982]) ).
thf(f28661,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_352
| ~ spl2_362 ),
inference(constrained_superposition,[],[f12876,f12982]) ).
thf(f28666,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_352
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f28661]) ).
thf(f28667,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f28657]) ).
thf(f28675,plain,
( $false
| ~ spl2_17
| ~ spl2_352
| ~ spl2_362 ),
inference(forward_subsumption_resolution,[],[f28666,f186]) ).
thf(f28676,plain,
( ~ spl2_17
| ~ spl2_352
| ~ spl2_362 ),
inference(avatar_contradiction_clause,[],[f28675]) ).
thf(f28691,plain,
( ~ spl2_354
| ~ spl2_9
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f28667,f12981,f120,f12898]) ).
thf(f28725,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192 ),
inference(constrained_superposition,[],[f6335,f80]) ).
thf(f28736,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f28725]) ).
thf(f28765,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_220
| ~ spl2_252 ),
inference(constrained_superposition,[],[f9379,f7958]) ).
thf(f28770,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_220
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f28765]) ).
thf(f28772,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_11
| ~ spl2_220
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f28770,f136]) ).
thf(f28773,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_11
| ~ spl2_220
| ~ spl2_232
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f28772,f28579]) ).
thf(f28775,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_359
| ~ spl2_362 ),
inference(constrained_superposition,[],[f12970,f12982]) ).
thf(f28778,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_359
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f28775]) ).
thf(f28782,plain,
( spl2_29
| ~ spl2_359
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f28778,f12981,f12969,f441]) ).
thf(f28902,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_17
| ~ spl2_36 ),
inference(constrained_superposition,[],[f541,f186]) ).
thf(f28905,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_17
| ~ spl2_36 ),
inference(trivial_inequality_removal,[],[f28902]) ).
thf(f28908,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_17
| ~ spl2_36 ),
inference(forward_subsumption_resolution,[],[f28905,f40]) ).
thf(f28909,plain,
( spl2_151
| ~ spl2_17
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f28908,f540,f185,f3489]) ).
thf(f28910,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_151
| ~ spl2_208 ),
inference(constrained_superposition,[],[f3490,f7026]) ).
thf(f28915,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_151
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f28910]) ).
thf(f28921,plain,
( $false
| ~ spl2_151
| ~ spl2_208 ),
inference(forward_subsumption_resolution,[],[f28915,f40]) ).
thf(f28922,plain,
( ~ spl2_151
| ~ spl2_208 ),
inference(avatar_contradiction_clause,[],[f28921]) ).
thf(f28940,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_11
| ~ spl2_220
| ~ spl2_232
| ~ spl2_252
| ~ spl2_351 ),
inference(constrained_superposition,[],[f28773,f13100]) ).
thf(f28943,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_11
| ~ spl2_220
| ~ spl2_232
| ~ spl2_252
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f28940]) ).
thf(f28945,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_11
| ~ spl2_220
| ~ spl2_232
| ~ spl2_252
| ~ spl2_351 ),
inference(forward_subsumption_resolution,[],[f28943,f40]) ).
thf(f28947,plain,
( spl2_280
| ~ spl2_11
| ~ spl2_220
| ~ spl2_232
| ~ spl2_252
| ~ spl2_351 ),
inference(avatar_split_clause,[],[f28945,f12773,f9378,f8700,f7957,f135,f10967]) ).
thf(f28968,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_193
| ~ spl2_347 ),
inference(constrained_superposition,[],[f6360,f12712]) ).
thf(f28972,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_193
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f28968]) ).
thf(f28977,plain,
( ~ spl2_462
| ~ spl2_193
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f28972,f12711,f6359,f22956]) ).
thf(f28979,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_220
| spl2_462 ),
inference(constrained_superposition,[],[f22957,f7958]) ).
thf(f28980,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_220
| spl2_462 ),
inference(trivial_inequality_removal,[],[f28979]) ).
thf(f28982,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_220
| spl2_462 ),
inference(forward_subsumption_resolution,[],[f28980,f40]) ).
thf(f28984,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_42
| ~ spl2_220
| spl2_462 ),
inference(forward_subsumption_resolution,[],[f28982,f23168]) ).
thf(f29005,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_361 ),
inference(constrained_superposition,[],[f48,f12979]) ).
thf(f29042,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_361 ),
inference(equality_resolution,[],[f29005]) ).
thf(f29043,plain,
( spl2_207
| ~ spl2_361 ),
inference(avatar_split_clause,[],[f29042,f12978,f7016]) ).
thf(f29044,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_232
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f28627,f8701]) ).
thf(f29046,plain,
( ~ spl2_253
| spl2_68
| spl2_228
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f10389,f6098,f8482,f2374,f9386]) ).
thf(f29051,plain,
( spl2_361
| spl2_281
| spl2_42
| ~ spl2_220
| spl2_462 ),
inference(avatar_split_clause,[],[f28984,f22956,f7957,f711,f10982,f12978]) ).
thf(f29063,plain,
( ~ spl2_266
| spl2_191
| spl2_230
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f28492,f9971,f8657,f6195,f10077]) ).
thf(f29064,plain,
( spl2_63
| ~ spl2_231
| spl2_215
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f28478,f6091,f7914,f8666,f2355]) ).
thf(f29065,plain,
( spl2_215
| spl2_63
| ~ spl2_232
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f29044,f12694,f8700,f2355,f7914]) ).
thf(f29074,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_71
| spl2_354 ),
inference(constrained_superposition,[],[f13610,f2508]) ).
thf(f29082,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_71
| spl2_354 ),
inference(trivial_inequality_removal,[],[f29074]) ).
thf(f29089,plain,
( $false
| ~ spl2_71
| spl2_354 ),
inference(forward_subsumption_resolution,[],[f29082,f40]) ).
thf(f29090,plain,
( ~ spl2_71
| spl2_354 ),
inference(avatar_contradiction_clause,[],[f29089]) ).
thf(f29112,plain,
( ( $true != $true )
| ~ spl2_4
| ~ spl2_363 ),
inference(constrained_superposition,[],[f97,f13763]) ).
thf(f29117,plain,
( $false
| ~ spl2_4
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f29112]) ).
thf(f29118,plain,
( ~ spl2_4
| ~ spl2_363 ),
inference(avatar_contradiction_clause,[],[f29117]) ).
thf(f29124,plain,
( ( $true != $true )
| ~ spl2_261
| ~ spl2_374 ),
inference(constrained_superposition,[],[f13314,f9972]) ).
thf(f29125,plain,
( ( $true != $true )
| ~ spl2_277
| ~ spl2_374 ),
inference(constrained_superposition,[],[f13314,f10512]) ).
thf(f29126,plain,
( $false
| ~ spl2_277
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f29125]) ).
thf(f29127,plain,
( ~ spl2_277
| ~ spl2_374 ),
inference(avatar_contradiction_clause,[],[f29126]) ).
thf(f29128,plain,
( $false
| ~ spl2_261
| ~ spl2_374 ),
inference(trivial_inequality_removal,[],[f29124]) ).
thf(f29129,plain,
( ~ spl2_261
| ~ spl2_374 ),
inference(avatar_contradiction_clause,[],[f29128]) ).
thf(f29141,plain,
( ( $true != $true )
| ~ spl2_186
| ~ spl2_221 ),
inference(constrained_superposition,[],[f8158,f6092]) ).
thf(f29145,plain,
( $false
| ~ spl2_186
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f29141]) ).
thf(f29146,plain,
( ~ spl2_186
| ~ spl2_221 ),
inference(avatar_contradiction_clause,[],[f29145]) ).
thf(f29159,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_63
| ~ spl2_261 ),
inference(constrained_superposition,[],[f2356,f9972]) ).
thf(f29162,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_63
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f29159]) ).
thf(f29164,plain,
( spl2_221
| ~ spl2_63
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f29162,f9971,f2355,f8157]) ).
thf(f29166,plain,
( spl2_229
| spl2_210
| ~ spl2_266
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f28606,f10511,f10077,f7089,f8653]) ).
thf(f29185,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_68 ),
inference(constrained_superposition,[],[f28389,f10150]) ).
thf(f29190,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f29185]) ).
thf(f29192,plain,
( spl2_230
| ~ spl2_11
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f29190,f2374,f135,f8657]) ).
thf(f29215,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_208 ),
inference(constrained_superposition,[],[f121,f7026]) ).
thf(f29221,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f29215]) ).
thf(f29223,plain,
( ~ spl2_206
| ~ spl2_9
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f29221,f7025,f120,f7013]) ).
thf(f29226,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f26,f13788]) ).
thf(f29227,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f55,f13788]) ).
thf(f29231,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f29227]) ).
thf(f29233,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f29226]) ).
thf(f29280,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_187
| ~ spl2_278 ),
inference(constrained_superposition,[],[f10533,f6096]) ).
thf(f29283,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_187
| ~ spl2_193 ),
inference(constrained_superposition,[],[f6360,f6096]) ).
thf(f29285,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_187
| ~ spl2_278 ),
inference(trivial_inequality_removal,[],[f29280]) ).
thf(f29287,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_187
| ~ spl2_193 ),
inference(trivial_inequality_removal,[],[f29283]) ).
thf(f29290,plain,
( $false
| ~ spl2_187
| ~ spl2_261
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f29285,f9972]) ).
thf(f29291,plain,
( ~ spl2_187
| ~ spl2_261
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f29290]) ).
thf(f29299,plain,
( ~ spl2_342
| ~ spl2_187
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f29287,f6359,f6095,f12694]) ).
thf(f29307,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_206 ),
inference(constrained_superposition,[],[f168,f7014]) ).
thf(f29308,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_206 ),
inference(constrained_superposition,[],[f25,f7014]) ).
thf(f29309,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f29307]) ).
thf(f29310,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f29308]) ).
thf(f29311,plain,
( spl2_255
| spl2_210
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f29310,f7013,f7089,f9542]) ).
thf(f29335,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_250 ),
inference(constrained_superposition,[],[f25,f9370]) ).
thf(f29336,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f29335]) ).
thf(f29339,plain,
( spl2_225
| spl2_10
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f29336,f9369,f132,f8392]) ).
thf(f29344,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f168,f12899]) ).
thf(f29346,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f29344]) ).
thf(f29348,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_17
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f29346,f186]) ).
thf(f29350,plain,
( spl2_363
| spl2_359
| ~ spl2_17
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f29348,f12898,f185,f12969,f13081]) ).
thf(f29389,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_363 ),
inference(constrained_superposition,[],[f26,f13763]) ).
thf(f29394,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_363 ),
inference(trivial_inequality_removal,[],[f29389]) ).
thf(f29401,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_188
| ~ spl2_390 ),
inference(constrained_superposition,[],[f14000,f6099]) ).
thf(f29411,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_188
| ~ spl2_390 ),
inference(trivial_inequality_removal,[],[f29401]) ).
thf(f29418,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_188
| ~ spl2_229
| ~ spl2_390 ),
inference(forward_subsumption_resolution,[],[f29411,f13788]) ).
thf(f29420,plain,
( spl2_228
| ~ spl2_188
| ~ spl2_229
| ~ spl2_390 ),
inference(avatar_split_clause,[],[f29418,f13999,f8653,f6098,f8482]) ).
thf(f29428,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_210
| ~ spl2_342 ),
inference(constrained_superposition,[],[f7090,f12695]) ).
thf(f29429,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_210
| ~ spl2_250 ),
inference(constrained_superposition,[],[f7090,f9370]) ).
thf(f29431,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_210
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f29428]) ).
thf(f29432,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_210
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f29429]) ).
thf(f29433,plain,
( spl2_374
| ~ spl2_210
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f29431,f12694,f7089,f13313]) ).
thf(f29434,plain,
( spl2_24
| ~ spl2_210
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f29432,f9369,f7089,f331]) ).
thf(f29435,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f9543,f80]) ).
thf(f29439,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f29435]) ).
thf(f29458,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_192
| ~ spl2_344 ),
inference(constrained_superposition,[],[f6335,f12702]) ).
thf(f29461,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_192
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f29458]) ).
thf(f29466,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_192
| ~ spl2_344 ),
inference(constrained_superposition,[],[f29461,f81]) ).
thf(f29467,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_192
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f29466]) ).
thf(f29468,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_192
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f29467,f40]) ).
thf(f29470,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_192
| ~ spl2_344 ),
inference(constrained_superposition,[],[f92,f29468]) ).
thf(f29482,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_192
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f29470]) ).
thf(f29488,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_192
| ~ spl2_344
| ~ spl2_363 ),
inference(forward_subsumption_resolution,[],[f29482,f13763]) ).
thf(f29490,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ~ spl2_192
| spl2_268
| ~ spl2_344
| ~ spl2_363 ),
inference(forward_subsumption_resolution,[],[f29488,f13767]) ).
thf(f29492,plain,
( spl2_357
| ~ spl2_192
| spl2_268
| ~ spl2_344
| ~ spl2_363 ),
inference(avatar_split_clause,[],[f29490,f13081,f12701,f10178,f6334,f12939]) ).
thf(f29494,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f25,f12767]) ).
thf(f29496,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f29494]) ).
thf(f29497,plain,
( spl2_352
| spl2_10
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f29496,f10982,f132,f12875]) ).
thf(f29513,definition,
( spl2_581
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
= $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( X1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_581])],[avatar_definition]) ).
thf(f29514,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( X1 = X2 )
| ( ( r @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X2 @ X1 )
= $true ) )
| ~ spl2_581 ),
inference(avatar_component_clause,[],[f29513]) ).
thf(f29518,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f92,f12705]) ).
thf(f29519,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f74,f12705]) ).
thf(f29520,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f57,f12705]) ).
thf(f29521,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f26,f12705]) ).
thf(f29526,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f29518]) ).
thf(f29527,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f29519]) ).
thf(f29528,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f29520]) ).
thf(f29530,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f29521]) ).
thf(f29534,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_346 ),
inference(constrained_superposition,[],[f92,f12709]) ).
thf(f29535,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_346 ),
inference(constrained_superposition,[],[f74,f12709]) ).
thf(f29536,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_346 ),
inference(constrained_superposition,[],[f57,f12709]) ).
thf(f29542,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f29534]) ).
thf(f29543,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f29536]) ).
thf(f29547,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_346 ),
inference(trivial_inequality_removal,[],[f29535]) ).
thf(f29589,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_184
| ~ spl2_229 ),
inference(constrained_superposition,[],[f29233,f6085]) ).
thf(f29595,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_184
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f29589]) ).
thf(f29610,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_345 ),
inference(constrained_superposition,[],[f29530,f49]) ).
thf(f29617,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_345 ),
inference(trivial_inequality_removal,[],[f29610]) ).
thf(f29619,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_46
| spl2_268 ),
inference(constrained_superposition,[],[f13767,f755]) ).
thf(f29627,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_42
| ~ spl2_46 ),
inference(constrained_superposition,[],[f23168,f755]) ).
thf(f29633,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_42
| ~ spl2_46 ),
inference(trivial_inequality_removal,[],[f29627]) ).
thf(f29635,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_46
| spl2_268 ),
inference(trivial_inequality_removal,[],[f29619]) ).
thf(f29640,plain,
( $false
| spl2_42
| ~ spl2_46 ),
inference(forward_subsumption_resolution,[],[f29633,f40]) ).
thf(f29641,plain,
( spl2_42
| ~ spl2_46 ),
inference(avatar_contradiction_clause,[],[f29640]) ).
thf(f29642,plain,
( $false
| ~ spl2_46
| spl2_69
| spl2_268 ),
inference(forward_subsumption_resolution,[],[f29635,f6022]) ).
thf(f29643,plain,
( ~ spl2_46
| spl2_69
| spl2_268 ),
inference(avatar_contradiction_clause,[],[f29642]) ).
thf(f29654,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_22
| spl2_69 ),
inference(extensionality_resolution,[],[f296,f6022]) ).
thf(f29659,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_22
| spl2_166 ),
inference(extensionality_resolution,[],[f296,f12675]) ).
thf(f29660,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_22
| spl2_166 ),
inference(extensionality_resolution,[],[f296,f12675]) ).
thf(f29819,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_345
| ~ spl2_398 ),
inference(constrained_superposition,[],[f14472,f12705]) ).
thf(f29822,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_345
| ~ spl2_398 ),
inference(trivial_inequality_removal,[],[f29819]) ).
thf(f29827,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_345
| spl2_351
| ~ spl2_398 ),
inference(forward_subsumption_resolution,[],[f29822,f12774]) ).
thf(f29829,plain,
( spl2_350
| ~ spl2_345
| spl2_351
| ~ spl2_398 ),
inference(avatar_split_clause,[],[f29827,f14471,f12773,f12704,f12769]) ).
thf(f29831,plain,
( spl2_581
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f29231,f8653,f29513]) ).
thf(f29837,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_581 ),
inference(extensionality_resolution,[],[f29514,f40]) ).
thf(f29838,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_581 ),
inference(extensionality_resolution,[],[f29514,f40]) ).
thf(f30144,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_59 ),
inference(avatar_component_clause,[],[f2329]) ).
thf(f30154,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_59 ),
inference(extensionality_resolution,[],[f81,f30144]) ).
thf(f30155,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_59 ),
inference(extensionality_resolution,[],[f81,f30144]) ).
thf(f30156,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_59 ),
inference(extensionality_resolution,[],[f55,f30144]) ).
thf(f30157,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_59 ),
inference(extensionality_resolution,[],[f55,f30144]) ).
thf(f30158,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_59 ),
inference(extensionality_resolution,[],[f51,f30144]) ).
thf(f30159,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_59 ),
inference(extensionality_resolution,[],[f51,f30144]) ).
thf(f30160,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_59 ),
inference(extensionality_resolution,[],[f29,f30144]) ).
thf(f30161,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_59 ),
inference(extensionality_resolution,[],[f29,f30144]) ).
thf(f30164,definition,
( spl2_585
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_585])],[avatar_definition]) ).
thf(f30165,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_585 ),
inference(avatar_component_clause,[],[f30164]) ).
thf(f30167,definition,
( spl2_586
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_586])],[avatar_definition]) ).
thf(f30168,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_586 ),
inference(avatar_component_clause,[],[f30167]) ).
thf(f30169,plain,
( spl2_585
| spl2_586
| spl2_59 ),
inference(avatar_split_clause,[],[f30154,f2329,f30167,f30164]) ).
thf(f30171,definition,
( spl2_587
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_587])],[avatar_definition]) ).
thf(f30172,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_587 ),
inference(avatar_component_clause,[],[f30171]) ).
thf(f30174,definition,
( spl2_588
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_588])],[avatar_definition]) ).
thf(f30175,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_588 ),
inference(avatar_component_clause,[],[f30174]) ).
thf(f30176,plain,
( spl2_587
| spl2_588
| spl2_59 ),
inference(avatar_split_clause,[],[f30155,f2329,f30174,f30171]) ).
thf(f30181,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_255
| ~ spl2_585 ),
inference(constrained_superposition,[],[f9543,f30165]) ).
thf(f30183,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_352
| ~ spl2_585 ),
inference(constrained_superposition,[],[f12876,f30165]) ).
thf(f30188,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_352
| ~ spl2_585 ),
inference(trivial_inequality_removal,[],[f30183]) ).
thf(f30189,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_255
| ~ spl2_585 ),
inference(trivial_inequality_removal,[],[f30181]) ).
thf(f30194,plain,
( $false
| ~ spl2_250
| ~ spl2_352
| ~ spl2_585 ),
inference(forward_subsumption_resolution,[],[f30188,f9370]) ).
thf(f30195,plain,
( ~ spl2_250
| ~ spl2_352
| ~ spl2_585 ),
inference(avatar_contradiction_clause,[],[f30194]) ).
thf(f30196,plain,
( $false
| ~ spl2_255
| ~ spl2_354
| ~ spl2_585 ),
inference(forward_subsumption_resolution,[],[f30189,f12899]) ).
thf(f30197,plain,
( ~ spl2_255
| ~ spl2_354
| ~ spl2_585 ),
inference(avatar_contradiction_clause,[],[f30196]) ).
thf(f30201,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_385
| ~ spl2_586 ),
inference(constrained_superposition,[],[f13888,f30168]) ).
thf(f30202,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_345
| ~ spl2_586 ),
inference(constrained_superposition,[],[f29530,f30168]) ).
thf(f30203,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_363
| ~ spl2_586 ),
inference(constrained_superposition,[],[f29394,f30168]) ).
thf(f30205,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f92,f30168]) ).
thf(f30215,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_385
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f30201]) ).
thf(f30217,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_345
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f30202]) ).
thf(f30221,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_363
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f30203]) ).
thf(f30222,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f30205]) ).
thf(f30227,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_351
| ~ spl2_385
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f30215,f12774]) ).
thf(f30229,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_188
| ~ spl2_345
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f30217,f6099]) ).
thf(f30234,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_229
| ~ spl2_363
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f30221,f13788]) ).
thf(f30235,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_229
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f30222,f13788]) ).
thf(f30236,plain,
( spl2_350
| spl2_351
| ~ spl2_385
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f30227,f30167,f13887,f12773,f12769]) ).
thf(f30238,plain,
( spl2_228
| ~ spl2_188
| ~ spl2_345
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f30229,f30167,f12704,f6098,f8482]) ).
thf(f30239,plain,
( spl2_228
| ~ spl2_229
| ~ spl2_363
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f30234,f30167,f13081,f8653,f8482]) ).
thf(f30240,plain,
( spl2_228
| spl2_362
| ~ spl2_229
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f30235,f30167,f8653,f12981,f8482]) ).
thf(f30242,plain,
( ~ spl2_5
| spl2_25
| ~ spl2_581 ),
inference(avatar_split_clause,[],[f29838,f29513,f351,f99]) ).
thf(f30244,plain,
( ~ spl2_230
| spl2_65
| ~ spl2_184
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f29595,f8653,f6084,f2362,f8657]) ).
thf(f30246,plain,
( ~ spl2_251
| spl2_354
| spl2_65
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f29527,f12704,f2362,f12898,f9374]) ).
thf(f30247,plain,
( ~ spl2_249
| spl2_159
| ~ spl2_12
| ~ spl2_22
| spl2_166 ),
inference(avatar_split_clause,[],[f29660,f4699,f295,f148,f3949,f9364]) ).
thf(f30249,plain,
( ~ spl2_230
| spl2_362
| spl2_65
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f29526,f12704,f2362,f12981,f8657]) ).
thf(f30254,plain,
( spl2_68
| spl2_357
| ~ spl2_356
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f29543,f12708,f12936,f12939,f2374]) ).
thf(f30255,plain,
( ~ spl2_5
| spl2_28
| ~ spl2_581 ),
inference(avatar_split_clause,[],[f29837,f29513,f373,f99]) ).
thf(f30260,plain,
( ~ spl2_363
| spl2_159
| spl2_357
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f29542,f12708,f12939,f3949,f13081]) ).
thf(f30265,plain,
( spl2_281
| spl2_65
| ~ spl2_251
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f29528,f12704,f9374,f2362,f10982]) ).
thf(f30268,plain,
( ~ spl2_268
| spl2_230
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f28736,f6334,f8657,f10178]) ).
thf(f30269,plain,
( ~ spl2_382
| spl2_266
| ~ spl2_12
| ~ spl2_22
| spl2_69 ),
inference(avatar_split_clause,[],[f29654,f2487,f295,f148,f10077,f13791]) ).
thf(f30276,plain,
( spl2_188
| spl2_187
| spl2_59 ),
inference(avatar_split_clause,[],[f30159,f2329,f6095,f6098]) ).
thf(f30278,plain,
( ~ spl2_249
| spl2_281
| spl2_1
| ~ spl2_345 ),
inference(avatar_split_clause,[],[f29617,f12704,f64,f10982,f9364]) ).
thf(f30283,plain,
( ~ spl2_12
| ~ spl2_249
| spl2_231
| ~ spl2_22
| spl2_166 ),
inference(avatar_split_clause,[],[f29659,f4699,f295,f8666,f9364,f148]) ).
thf(f30285,plain,
( ~ spl2_356
| spl2_170
| spl2_357
| ~ spl2_346 ),
inference(avatar_split_clause,[],[f29547,f12708,f12939,f4931,f12936]) ).
thf(f30300,plain,
( ~ spl2_18
| spl2_229
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f29439,f9542,f8653,f189]) ).
thf(f30301,plain,
( spl2_210
| ~ spl2_17
| spl2_229
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f29309,f7013,f8653,f185,f7089]) ).
thf(f30405,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_208 ),
inference(constrained_superposition,[],[f25,f7026]) ).
thf(f30406,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_208 ),
inference(trivial_inequality_removal,[],[f30405]) ).
thf(f30408,plain,
( spl2_8
| spl2_254
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f30406,f7025,f9465,f117]) ).
thf(f30433,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_354
| ~ spl2_477 ),
inference(constrained_superposition,[],[f23246,f12899]) ).
thf(f30434,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_354 ),
inference(constrained_superposition,[],[f25,f12899]) ).
thf(f30435,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f30434]) ).
thf(f30436,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_354
| ~ spl2_477 ),
inference(trivial_inequality_removal,[],[f30433]) ).
thf(f30440,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_281
| ~ spl2_354
| ~ spl2_477 ),
inference(forward_subsumption_resolution,[],[f30436,f10983]) ).
thf(f30442,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_281
| ~ spl2_354
| ~ spl2_477 ),
inference(forward_subsumption_resolution,[],[f30440,f40]) ).
thf(f30444,plain,
( spl2_361
| spl2_281
| ~ spl2_354
| ~ spl2_477 ),
inference(avatar_split_clause,[],[f30442,f23245,f12898,f10982,f12978]) ).
thf(f30446,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_260
| ~ spl2_268 ),
inference(constrained_superposition,[],[f9934,f10179]) ).
thf(f30449,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_260
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f30446]) ).
thf(f30452,plain,
( $false
| ~ spl2_260
| ~ spl2_266
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f30449,f10078]) ).
thf(f30453,plain,
( ~ spl2_260
| ~ spl2_266
| ~ spl2_268 ),
inference(avatar_contradiction_clause,[],[f30452]) ).
thf(f30539,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_28 ),
inference(constrained_superposition,[],[f374,f79]) ).
thf(f30541,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_28 ),
inference(trivial_inequality_removal,[],[f30539]) ).
thf(f30544,plain,
( spl2_7
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f30541,f373,f106]) ).
thf(f30595,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_187
| ~ spl2_255 ),
inference(constrained_superposition,[],[f9543,f6096]) ).
thf(f30597,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_187
| ~ spl2_257 ),
inference(constrained_superposition,[],[f9633,f6096]) ).
thf(f30599,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_187
| ~ spl2_295 ),
inference(constrained_superposition,[],[f11355,f6096]) ).
thf(f30601,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_187
| ~ spl2_257 ),
inference(trivial_inequality_removal,[],[f30597]) ).
thf(f30602,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_187
| ~ spl2_295 ),
inference(trivial_inequality_removal,[],[f30599]) ).
thf(f30604,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_187
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f30595]) ).
thf(f30607,plain,
( $false
| ~ spl2_187
| ~ spl2_250
| ~ spl2_257 ),
inference(forward_subsumption_resolution,[],[f30601,f9370]) ).
thf(f30608,plain,
( ~ spl2_187
| ~ spl2_250
| ~ spl2_257 ),
inference(avatar_contradiction_clause,[],[f30607]) ).
thf(f30609,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_187
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f30602,f40]) ).
thf(f30610,plain,
( $false
| ~ spl2_170
| ~ spl2_187
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f30604,f6160]) ).
thf(f30611,plain,
( ~ spl2_170
| ~ spl2_187
| ~ spl2_255 ),
inference(avatar_contradiction_clause,[],[f30610]) ).
thf(f30613,plain,
( $false
| ~ spl2_187
| ~ spl2_250
| ~ spl2_295 ),
inference(forward_subsumption_resolution,[],[f30609,f9370]) ).
thf(f30614,plain,
( ~ spl2_187
| ~ spl2_250
| ~ spl2_295 ),
inference(avatar_contradiction_clause,[],[f30613]) ).
thf(f30615,plain,
( spl2_261
| spl2_262
| spl2_59 ),
inference(avatar_split_clause,[],[f30161,f2329,f9974,f9971]) ).
thf(f30616,plain,
( spl2_425
| spl2_261
| spl2_59 ),
inference(avatar_split_clause,[],[f30157,f2329,f9971,f18884]) ).
thf(f30617,plain,
( spl2_359
| spl2_360
| ~ spl2_354 ),
inference(avatar_split_clause,[],[f30435,f12898,f12972,f12969]) ).
thf(f30629,plain,
( ( $true != $true )
| ~ spl2_29
| ~ spl2_266 ),
inference(constrained_superposition,[],[f442,f10078]) ).
thf(f30630,plain,
( ( $true != $true )
| ~ spl2_29
| ~ spl2_351 ),
inference(constrained_superposition,[],[f442,f13100]) ).
thf(f30631,plain,
( $false
| ~ spl2_29
| ~ spl2_351 ),
inference(trivial_inequality_removal,[],[f30630]) ).
thf(f30632,plain,
( ~ spl2_29
| ~ spl2_351 ),
inference(avatar_contradiction_clause,[],[f30631]) ).
thf(f30633,plain,
( $false
| ~ spl2_29
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f30629]) ).
thf(f30634,plain,
( ~ spl2_29
| ~ spl2_266 ),
inference(avatar_contradiction_clause,[],[f30633]) ).
thf(f30641,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_215 ),
inference(constrained_superposition,[],[f290,f7915]) ).
thf(f30643,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f30641]) ).
thf(f30649,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_29
| ~ spl2_215 ),
inference(forward_subsumption_resolution,[],[f30643,f442]) ).
thf(f30652,definition,
( spl2_597
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_597])],[avatar_definition]) ).
thf(f30653,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_597 ),
inference(avatar_component_clause,[],[f30652]) ).
thf(f30654,plain,
( spl2_597
| spl2_46
| ~ spl2_29
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f30649,f7914,f441,f754,f30652]) ).
thf(f30688,plain,
( ( $true != $true )
| ~ spl2_208
| ~ spl2_235 ),
inference(constrained_superposition,[],[f8893,f7026]) ).
thf(f30689,plain,
( $false
| ~ spl2_208
| ~ spl2_235 ),
inference(trivial_inequality_removal,[],[f30688]) ).
thf(f30690,plain,
( ~ spl2_208
| ~ spl2_235 ),
inference(avatar_contradiction_clause,[],[f30689]) ).
thf(f30692,plain,
( $false
| ~ spl2_29
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f8701,f442]) ).
thf(f30693,plain,
( ~ spl2_29
| ~ spl2_232 ),
inference(avatar_contradiction_clause,[],[f30692]) ).
thf(f30694,plain,
( $false
| ~ spl2_235
| ~ spl2_342 ),
inference(forward_subsumption_resolution,[],[f12695,f8893]) ).
thf(f30695,plain,
( ~ spl2_235
| ~ spl2_342 ),
inference(avatar_contradiction_clause,[],[f30694]) ).
thf(f30699,plain,
( $false
| spl2_215
| ~ spl2_218 ),
inference(forward_subsumption_resolution,[],[f10180,f7929]) ).
thf(f30700,plain,
( spl2_215
| ~ spl2_218 ),
inference(avatar_contradiction_clause,[],[f30699]) ).
thf(f30701,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f168,f10078]) ).
thf(f30704,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f30701]) ).
thf(f30710,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f118,f80]) ).
thf(f30711,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_8
| ~ spl2_266 ),
inference(constrained_superposition,[],[f118,f10078]) ).
thf(f30712,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f30710]) ).
thf(f30713,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_8
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f30711]) ).
thf(f30714,plain,
( spl2_237
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f30712,f117,f8921]) ).
thf(f30715,plain,
( spl2_374
| ~ spl2_8
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f30713,f10077,f117,f13313]) ).
thf(f30744,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f168,f8701]) ).
thf(f30749,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f30744]) ).
thf(f30750,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_343
| ~ spl2_597 ),
inference(constrained_superposition,[],[f30653,f12698]) ).
thf(f30762,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_343
| ~ spl2_597 ),
inference(trivial_inequality_removal,[],[f30750]) ).
thf(f30768,plain,
( spl2_207
| ~ spl2_343
| ~ spl2_597 ),
inference(avatar_split_clause,[],[f30762,f30652,f12697,f7016]) ).
thf(f30777,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_276 ),
inference(constrained_superposition,[],[f92,f13993]) ).
thf(f30778,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_276 ),
inference(constrained_superposition,[],[f74,f13993]) ).
thf(f30779,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_276 ),
inference(constrained_superposition,[],[f57,f13993]) ).
thf(f30782,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true ) )
| ~ spl2_276 ),
inference(constrained_superposition,[],[f290,f13993]) ).
thf(f30784,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true ) )
| ~ spl2_276 ),
inference(trivial_inequality_removal,[],[f30782]) ).
thf(f30786,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_276 ),
inference(trivial_inequality_removal,[],[f30778]) ).
thf(f30788,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_276 ),
inference(trivial_inequality_removal,[],[f30779]) ).
thf(f30789,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_276 ),
inference(trivial_inequality_removal,[],[f30777]) ).
thf(f30791,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_235
| ~ spl2_276 ),
inference(forward_subsumption_resolution,[],[f30784,f8893]) ).
thf(f30793,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_235
| ~ spl2_276
| ~ spl2_374 ),
inference(forward_subsumption_resolution,[],[f30791,f13314]) ).
thf(f30795,definition,
( spl2_600
<=> ! [X0: $i] :
( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_600])],[avatar_definition]) ).
thf(f30796,plain,
( ! [X0: $i] :
( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ~ spl2_600 ),
inference(avatar_component_clause,[],[f30795]) ).
thf(f30799,definition,
( spl2_601
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_601])],[avatar_definition]) ).
thf(f30800,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_601 ),
inference(avatar_component_clause,[],[f30799]) ).
thf(f30801,plain,
( spl2_601
| spl2_600
| ~ spl2_235
| ~ spl2_276
| ~ spl2_374 ),
inference(avatar_split_clause,[],[f30793,f13313,f10503,f8892,f30795,f30799]) ).
thf(f30864,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_237
| ~ spl2_585 ),
inference(constrained_superposition,[],[f8922,f30165]) ).
thf(f30867,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_237
| ~ spl2_585 ),
inference(trivial_inequality_removal,[],[f30864]) ).
thf(f30870,plain,
( $false
| ~ spl2_235
| ~ spl2_587 ),
inference(forward_subsumption_resolution,[],[f30172,f8893]) ).
thf(f30871,plain,
( ~ spl2_235
| ~ spl2_587 ),
inference(avatar_contradiction_clause,[],[f30870]) ).
thf(f30879,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_588 ),
inference(constrained_superposition,[],[f92,f30175]) ).
thf(f30887,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_588 ),
inference(trivial_inequality_removal,[],[f30879]) ).
thf(f30895,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_235
| ~ spl2_588 ),
inference(forward_subsumption_resolution,[],[f30887,f8893]) ).
thf(f30904,plain,
( spl2_363
| ~ spl2_237
| ~ spl2_585 ),
inference(avatar_split_clause,[],[f30867,f30164,f8921,f13081]) ).
thf(f30905,plain,
( spl2_357
| ~ spl2_363
| ~ spl2_235
| ~ spl2_588 ),
inference(avatar_split_clause,[],[f30895,f30174,f8892,f13081,f12939]) ).
thf(f30920,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_586
| ~ spl2_601 ),
inference(constrained_superposition,[],[f30800,f30168]) ).
thf(f30935,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_586
| ~ spl2_601 ),
inference(trivial_inequality_removal,[],[f30920]) ).
thf(f30940,plain,
( spl2_361
| ~ spl2_586
| ~ spl2_601 ),
inference(avatar_split_clause,[],[f30935,f30799,f30167,f12978]) ).
thf(f30952,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| spl2_229
| ~ spl2_600 ),
inference(constrained_superposition,[],[f8654,f30796]) ).
thf(f31043,plain,
( spl2_4
| spl2_229
| ~ spl2_600 ),
inference(avatar_split_clause,[],[f30952,f30795,f8653,f96]) ).
thf(f31046,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_8
| ~ spl2_52 ),
inference(constrained_superposition,[],[f118,f1006]) ).
thf(f31049,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_8
| ~ spl2_52 ),
inference(trivial_inequality_removal,[],[f31046]) ).
thf(f31050,plain,
( spl2_29
| ~ spl2_8
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f31049,f1005,f117,f441]) ).
thf(f31061,plain,
( spl2_186
| spl2_425
| spl2_59 ),
inference(avatar_split_clause,[],[f30156,f2329,f18884,f6091]) ).
thf(f31063,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_215
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f30704,f10180]) ).
thf(f31064,plain,
( spl2_186
| spl2_181
| spl2_59 ),
inference(avatar_split_clause,[],[f30160,f2329,f6051,f6091]) ).
thf(f31065,plain,
( spl2_185
| spl2_184
| spl2_69 ),
inference(avatar_split_clause,[],[f9963,f2487,f6084,f6087]) ).
thf(f31068,plain,
( ~ spl2_253
| spl2_162
| spl2_228
| ~ spl2_276 ),
inference(avatar_split_clause,[],[f30786,f10503,f8482,f4418,f9386]) ).
thf(f31070,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| spl2_229
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f30749,f8654]) ).
thf(f31071,plain,
( spl2_185
| spl2_184
| spl2_59 ),
inference(avatar_split_clause,[],[f30158,f2329,f6084,f6087]) ).
thf(f31074,plain,
( spl2_63
| ~ spl2_52
| spl2_215
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f31063,f10077,f7914,f1005,f2355]) ).
thf(f31075,plain,
( spl2_210
| ~ spl2_52
| spl2_229
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f31070,f8700,f8653,f1005,f7089]) ).
thf(f31090,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_272 ),
inference(constrained_superposition,[],[f10228,f50]) ).
thf(f31091,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_272 ),
inference(constrained_superposition,[],[f10228,f29]) ).
thf(f31092,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_272 ),
inference(trivial_inequality_removal,[],[f31091]) ).
thf(f31093,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_272 ),
inference(trivial_inequality_removal,[],[f31090]) ).
thf(f31094,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_272 ),
inference(forward_subsumption_resolution,[],[f31092,f40]) ).
thf(f31095,plain,
( $false
| ~ spl2_24
| spl2_272 ),
inference(forward_subsumption_resolution,[],[f31093,f332]) ).
thf(f31096,plain,
( ~ spl2_24
| spl2_272 ),
inference(avatar_contradiction_clause,[],[f31095]) ).
thf(f31097,plain,
( $false
| ~ spl2_24
| spl2_272 ),
inference(forward_subsumption_resolution,[],[f31094,f332]) ).
thf(f31098,plain,
( ~ spl2_24
| spl2_272 ),
inference(avatar_contradiction_clause,[],[f31097]) ).
thf(f31099,plain,
( $false
| ~ spl2_24
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f4419,f332]) ).
thf(f31100,plain,
( ~ spl2_24
| ~ spl2_162 ),
inference(avatar_contradiction_clause,[],[f31099]) ).
thf(f31102,plain,
( ( $true != $true )
| ~ spl2_68
| ~ spl2_221 ),
inference(constrained_superposition,[],[f8158,f10150]) ).
thf(f31104,plain,
( $false
| ~ spl2_68
| ~ spl2_221 ),
inference(trivial_inequality_removal,[],[f31102]) ).
thf(f31105,plain,
( ~ spl2_68
| ~ spl2_221 ),
inference(avatar_contradiction_clause,[],[f31104]) ).
thf(f31106,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_268
| ~ spl2_276 ),
inference(forward_subsumption_resolution,[],[f30789,f13767]) ).
thf(f31107,plain,
( $false
| ~ spl2_159
| ~ spl2_221 ),
inference(forward_subsumption_resolution,[],[f3950,f8158]) ).
thf(f31108,plain,
( ~ spl2_159
| ~ spl2_221 ),
inference(avatar_contradiction_clause,[],[f31107]) ).
thf(f31109,plain,
( ~ spl2_363
| spl2_357
| spl2_208
| ~ spl2_588 ),
inference(avatar_split_clause,[],[f30887,f30174,f7025,f12939,f13081]) ).
thf(f31110,plain,
( spl2_228
| ~ spl2_229
| spl2_268
| ~ spl2_276 ),
inference(avatar_split_clause,[],[f31106,f10503,f10178,f8653,f8482]) ).
thf(f31111,plain,
( ~ spl2_253
| spl2_228
| spl2_42
| ~ spl2_276 ),
inference(avatar_split_clause,[],[f30788,f10503,f711,f8482,f9386]) ).
thf(f31126,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f168,f10078]) ).
thf(f31128,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f31126]) ).
thf(f31159,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_276
| ~ spl2_279 ),
inference(constrained_superposition,[],[f13993,f10714]) ).
thf(f31189,plain,
( spl2_262
| ~ spl2_276
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f31159,f10713,f10503,f9974]) ).
thf(f31190,plain,
( $false
| ~ spl2_4
| ~ spl2_230 ),
inference(forward_subsumption_resolution,[],[f14451,f97]) ).
thf(f31191,plain,
( ~ spl2_4
| ~ spl2_230 ),
inference(avatar_contradiction_clause,[],[f31190]) ).
thf(f31192,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_4
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f31128,f97]) ).
thf(f31194,plain,
( spl2_63
| ~ spl2_52
| ~ spl2_4
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f31192,f10077,f96,f1005,f2355]) ).
thf(f31205,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f25,f190]) ).
thf(f31206,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f31205]) ).
thf(f31207,plain,
( spl2_8
| spl2_9
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f31206,f189,f120,f117]) ).
thf(f31208,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_166 ),
inference(extensionality_resolution,[],[f81,f12675]) ).
thf(f31209,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_166 ),
inference(extensionality_resolution,[],[f81,f12675]) ).
thf(f31211,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| spl2_166 ),
inference(extensionality_resolution,[],[f55,f12675]) ).
thf(f31212,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_166 ),
inference(extensionality_resolution,[],[f51,f12675]) ).
thf(f31213,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_166 ),
inference(extensionality_resolution,[],[f51,f12675]) ).
thf(f31216,plain,
( spl2_347
| spl2_346
| spl2_166 ),
inference(avatar_split_clause,[],[f31209,f4699,f12708,f12711]) ).
thf(f31217,plain,
( spl2_390
| spl2_231
| spl2_166 ),
inference(avatar_split_clause,[],[f31211,f4699,f8666,f13999]) ).
thf(f31218,plain,
( spl2_344
| spl2_345
| spl2_166 ),
inference(avatar_split_clause,[],[f31208,f4699,f12704,f12701]) ).
thf(f31219,plain,
( spl2_343
| spl2_342
| spl2_166 ),
inference(avatar_split_clause,[],[f31212,f4699,f12694,f12697]) ).
thf(f31220,plain,
( spl2_277
| spl2_276
| spl2_166 ),
inference(avatar_split_clause,[],[f31213,f4699,f10503,f10511]) ).
thf(f31221,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_42 ),
inference(constrained_superposition,[],[f25,f712]) ).
thf(f31222,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ sK1 @ X1 ) ) )
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f31221]) ).
thf(f31223,plain,
( spl2_45
| spl2_10
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f31222,f711,f132,f733]) ).
thf(f31224,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f168,f4419]) ).
thf(f31227,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f31224]) ).
thf(f31229,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_17
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f31227,f186]) ).
thf(f31230,plain,
( spl2_215
| spl2_63
| ~ spl2_17
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f31229,f4418,f185,f2355,f7914]) ).
thf(f31240,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_215 ),
inference(constrained_superposition,[],[f628,f7915]) ).
thf(f31245,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f31240]) ).
thf(f31248,plain,
( spl2_270
| spl2_46
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f31245,f7914,f754,f10217]) ).
thf(f31270,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_159 ),
inference(constrained_superposition,[],[f25,f3950]) ).
thf(f31271,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f31270]) ).
thf(f31272,plain,
( spl2_259
| spl2_8
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f31271,f3949,f117,f9850]) ).
thf(f31273,plain,
( $false
| ~ spl2_218
| spl2_230 ),
inference(forward_subsumption_resolution,[],[f8658,f7929]) ).
thf(f31274,plain,
( ~ spl2_218
| spl2_230 ),
inference(avatar_contradiction_clause,[],[f31273]) ).
thf(f31281,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_49 ),
inference(constrained_superposition,[],[f767,f79]) ).
thf(f31287,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_49 ),
inference(trivial_inequality_removal,[],[f31281]) ).
thf(f31289,plain,
( spl2_268
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f31287,f766,f10178]) ).
thf(f31293,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f25,f10078]) ).
thf(f31295,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f31293]) ).
thf(f31296,plain,
( spl2_263
| spl2_63
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f31295,f10077,f2355,f10034]) ).
thf(f31297,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_268 ),
inference(constrained_superposition,[],[f25,f10179]) ).
thf(f31298,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f31297]) ).
thf(f31299,plain,
( spl2_236
| spl2_8
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f31298,f10178,f117,f8917]) ).
thf(f31311,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f92,f6052]) ).
thf(f31312,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f74,f6052]) ).
thf(f31313,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f57,f6052]) ).
thf(f31319,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f31312]) ).
thf(f31323,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f31313]) ).
thf(f31324,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f31311]) ).
thf(f31328,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_261 ),
inference(constrained_superposition,[],[f25,f9972]) ).
thf(f31330,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_261 ),
inference(trivial_inequality_removal,[],[f31328]) ).
thf(f31332,plain,
( spl2_191
| spl2_192
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f31330,f9971,f6334,f6195]) ).
thf(f31336,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f25,f8701]) ).
thf(f31337,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f31336]) ).
thf(f31339,plain,
( spl2_252
| spl2_210
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f31337,f8700,f7089,f9378]) ).
thf(f31368,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_268
| ~ spl2_334 ),
inference(constrained_superposition,[],[f12114,f10179]) ).
thf(f31369,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_268
| ~ spl2_334 ),
inference(trivial_inequality_removal,[],[f31368]) ).
thf(f31370,plain,
( spl2_211
| ~ spl2_268
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f31369,f12113,f10178,f7092]) ).
thf(f31379,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_343 ),
inference(constrained_superposition,[],[f92,f12698]) ).
thf(f31380,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_343 ),
inference(constrained_superposition,[],[f74,f12698]) ).
thf(f31381,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_343 ),
inference(constrained_superposition,[],[f57,f12698]) ).
thf(f31386,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f31380]) ).
thf(f31388,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f31379]) ).
thf(f31390,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_343 ),
inference(trivial_inequality_removal,[],[f31381]) ).
thf(f31425,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f168,f6088]) ).
thf(f31426,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_185 ),
inference(constrained_superposition,[],[f25,f6088]) ).
thf(f31427,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f31426]) ).
thf(f31428,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f31425]) ).
thf(f31430,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_188 ),
inference(constrained_superposition,[],[f74,f6099]) ).
thf(f31437,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f31430]) ).
thf(f31443,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_170
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f31437,f4932]) ).
thf(f31446,plain,
( spl2_228
| ~ spl2_253
| spl2_170
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f31443,f6098,f4931,f9386,f8482]) ).
thf(f31447,plain,
( spl2_49
| ~ spl2_215
| spl2_208
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f31388,f12697,f7025,f7914,f766]) ).
thf(f31448,plain,
( ~ spl2_215
| spl2_159
| spl2_49
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f31324,f6051,f766,f3949,f7914]) ).
thf(f31449,plain,
( spl2_212
| spl2_191
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f31427,f6087,f6195,f7229]) ).
thf(f31450,plain,
( spl2_49
| ~ spl2_272
| spl2_68
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f31323,f6051,f2374,f10227,f766]) ).
thf(f31451,plain,
( spl2_49
| ~ spl2_272
| spl2_250
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f31390,f12697,f9369,f10227,f766]) ).
thf(f31453,plain,
( ~ spl2_272
| spl2_206
| spl2_49
| ~ spl2_343 ),
inference(avatar_split_clause,[],[f31386,f12697,f766,f7013,f10227]) ).
thf(f31457,plain,
( spl2_49
| ~ spl2_272
| spl2_170
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f31319,f6051,f4931,f10227,f766]) ).
thf(f31462,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ sK1 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f290,f998]) ).
thf(f31465,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f31462]) ).
thf(f31476,plain,
( spl2_247
| spl2_71
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f31465,f148,f2507,f9058]) ).
thf(f31483,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f168,f4419]) ).
thf(f31484,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f25,f4419]) ).
thf(f31486,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f31484]) ).
thf(f31487,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f31483]) ).
thf(f31488,plain,
( spl2_44
| spl2_63
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f31486,f4418,f2355,f729]) ).
thf(f31489,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true ) )
| ~ spl2_68 ),
inference(constrained_superposition,[],[f25,f10150]) ).
thf(f31490,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_68 ),
inference(trivial_inequality_removal,[],[f31489]) ).
thf(f31491,plain,
( spl2_257
| spl2_10
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f31490,f2374,f132,f9632]) ).
thf(f31493,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f25,f6160]) ).
thf(f31495,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f31493]) ).
thf(f31496,plain,
( spl2_258
| spl2_191
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f31495,f4931,f6195,f9680]) ).
thf(f31521,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_230 ),
inference(constrained_superposition,[],[f290,f14451]) ).
thf(f31527,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_230 ),
inference(trivial_inequality_removal,[],[f31521]) ).
thf(f31530,plain,
( spl2_398
| spl2_167
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f31527,f8657,f4702,f14471]) ).
thf(f31532,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_268 ),
inference(constrained_superposition,[],[f121,f10179]) ).
thf(f31533,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_9
| ~ spl2_268 ),
inference(trivial_inequality_removal,[],[f31532]) ).
thf(f31534,plain,
( $false
| ~ spl2_9
| ~ spl2_162
| ~ spl2_268 ),
inference(forward_subsumption_resolution,[],[f31533,f4419]) ).
thf(f31535,plain,
( ~ spl2_9
| ~ spl2_162
| ~ spl2_268 ),
inference(avatar_contradiction_clause,[],[f31534]) ).
thf(f31536,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_262 ),
inference(constrained_superposition,[],[f92,f9975]) ).
thf(f31537,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_262 ),
inference(constrained_superposition,[],[f74,f9975]) ).
thf(f31538,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_262 ),
inference(constrained_superposition,[],[f57,f9975]) ).
thf(f31541,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_262 ),
inference(constrained_superposition,[],[f290,f9975]) ).
thf(f31543,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_262 ),
inference(trivial_inequality_removal,[],[f31536]) ).
thf(f31544,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_262 ),
inference(trivial_inequality_removal,[],[f31537]) ).
thf(f31546,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_262 ),
inference(trivial_inequality_removal,[],[f31541]) ).
thf(f31547,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_262 ),
inference(trivial_inequality_removal,[],[f31538]) ).
thf(f31551,plain,
( spl2_167
| spl2_275
| ~ spl2_262 ),
inference(avatar_split_clause,[],[f31546,f9974,f10301,f4702]) ).
thf(f31559,plain,
( ( $true != $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_44 ),
inference(constrained_superposition,[],[f730,f80]) ).
thf(f31565,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_44 ),
inference(trivial_inequality_removal,[],[f31559]) ).
thf(f31630,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_185
| ~ spl2_258 ),
inference(constrained_superposition,[],[f9681,f6088]) ).
thf(f31636,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_185
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f31630]) ).
thf(f31641,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_187 ),
inference(constrained_superposition,[],[f168,f6096]) ).
thf(f31644,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f31641]) ).
thf(f31741,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f74,f30168]) ).
thf(f31742,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_586 ),
inference(constrained_superposition,[],[f57,f30168]) ).
thf(f31748,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f31742]) ).
thf(f31750,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_586 ),
inference(trivial_inequality_removal,[],[f31741]) ).
thf(f31755,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_281
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f31748,f10983]) ).
thf(f31757,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_354
| ~ spl2_586 ),
inference(forward_subsumption_resolution,[],[f31750,f13610]) ).
thf(f31758,plain,
( ~ spl2_253
| spl2_228
| spl2_281
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f31755,f30167,f10982,f8482,f9386]) ).
thf(f31759,plain,
( ~ spl2_253
| spl2_228
| spl2_354
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f31757,f30167,f12898,f8482,f9386]) ).
thf(f31760,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_252
| ~ spl2_585 ),
inference(constrained_superposition,[],[f9379,f30165]) ).
thf(f31761,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_585 ),
inference(constrained_superposition,[],[f168,f30165]) ).
thf(f31763,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_585 ),
inference(trivial_inequality_removal,[],[f31761]) ).
thf(f31765,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_252
| ~ spl2_585 ),
inference(trivial_inequality_removal,[],[f31760]) ).
thf(f31768,plain,
( $false
| ~ spl2_252
| ~ spl2_351
| ~ spl2_585 ),
inference(forward_subsumption_resolution,[],[f31765,f13100]) ).
thf(f31769,plain,
( ~ spl2_252
| ~ spl2_351
| ~ spl2_585 ),
inference(avatar_contradiction_clause,[],[f31768]) ).
thf(f31774,plain,
( ~ spl2_206
| ~ spl2_185
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f31636,f9680,f6087,f7013]) ).
thf(f31775,plain,
( ~ spl2_230
| spl2_268
| spl2_65
| ~ spl2_262 ),
inference(avatar_split_clause,[],[f31543,f9974,f2362,f10178,f8657]) ).
thf(f31776,plain,
( ~ spl2_18
| spl2_215
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f31565,f729,f7914,f189]) ).
thf(f31777,plain,
( ~ spl2_231
| spl2_229
| spl2_210
| ~ spl2_187 ),
inference(avatar_split_clause,[],[f31644,f6095,f7089,f8653,f8666]) ).
thf(f31778,plain,
( ~ spl2_17
| spl2_215
| spl2_63
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f31487,f4418,f2355,f7914,f185]) ).
thf(f31780,plain,
( spl2_229
| spl2_210
| ~ spl2_351
| ~ spl2_585 ),
inference(avatar_split_clause,[],[f31763,f30164,f12773,f7089,f8653]) ).
thf(f31782,plain,
( spl2_191
| ~ spl2_232
| spl2_230
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f31428,f6087,f8657,f8700,f6195]) ).
thf(f31793,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f25,f186]) ).
thf(f31794,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f31793]) ).
thf(f31795,plain,
( spl2_10
| spl2_11
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f31794,f185,f135,f132]) ).
thf(f31804,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| ~ spl2_215 ),
inference(constrained_superposition,[],[f290,f7915]) ).
thf(f31805,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_215 ),
inference(constrained_superposition,[],[f628,f7915]) ).
thf(f31806,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f31804]) ).
thf(f31811,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f31805]) ).
thf(f31812,plain,
( spl2_46
| spl2_271
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f31806,f7914,f10223,f754]) ).
thf(f31813,plain,
( spl2_270
| spl2_46
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f31811,f7914,f754,f10217]) ).
thf(f31829,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f25,f8667]) ).
thf(f31831,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f31829]) ).
thf(f31832,plain,
( spl2_256
| spl2_191
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f31831,f8666,f6195,f9625]) ).
thf(f31843,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true ) )
| ~ spl2_229 ),
inference(constrained_superposition,[],[f290,f13788]) ).
thf(f31845,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_229 ),
inference(trivial_inequality_removal,[],[f31843]) ).
thf(f31851,plain,
( spl2_385
| spl2_222
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f31845,f8653,f8351,f13887]) ).
thf(f31856,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_276 ),
inference(constrained_superposition,[],[f10504,f29]) ).
thf(f31857,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_276 ),
inference(trivial_inequality_removal,[],[f31856]) ).
thf(f31859,plain,
( spl2_211
| spl2_277
| spl2_276 ),
inference(avatar_split_clause,[],[f31857,f10503,f10511,f7092]) ).
thf(f31863,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_277 ),
inference(constrained_superposition,[],[f25,f10512]) ).
thf(f31866,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_277 ),
inference(trivial_inequality_removal,[],[f31863]) ).
thf(f31867,plain,
( spl2_210
| spl2_278
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f31866,f10511,f10532,f7089]) ).
thf(f31870,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_342 ),
inference(constrained_superposition,[],[f25,f12695]) ).
thf(f31872,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f31870]) ).
thf(f31874,plain,
( spl2_348
| spl2_63
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f31872,f12694,f2355,f12731]) ).
thf(f31901,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_344 ),
inference(constrained_superposition,[],[f25,f12702]) ).
thf(f31903,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f31901]) ).
thf(f31905,plain,
( spl2_349
| spl2_191
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f31903,f12701,f6195,f12763]) ).
thf(f31918,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_278
| ~ spl2_585 ),
inference(constrained_superposition,[],[f10533,f30165]) ).
thf(f31922,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_278
| ~ spl2_585 ),
inference(trivial_inequality_removal,[],[f31918]) ).
thf(f31926,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_278
| ~ spl2_585 ),
inference(constrained_superposition,[],[f31922,f81]) ).
thf(f31927,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_278
| ~ spl2_585 ),
inference(trivial_inequality_removal,[],[f31926]) ).
thf(f31928,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_278
| ~ spl2_585 ),
inference(forward_subsumption_resolution,[],[f31927,f40]) ).
thf(f31929,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_278
| ~ spl2_585 ),
inference(constrained_superposition,[],[f92,f31928]) ).
thf(f31930,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_278
| ~ spl2_585 ),
inference(constrained_superposition,[],[f74,f31928]) ).
thf(f31931,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_278
| ~ spl2_585 ),
inference(constrained_superposition,[],[f57,f31928]) ).
thf(f31939,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_278
| ~ spl2_585 ),
inference(trivial_inequality_removal,[],[f31930]) ).
thf(f31941,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_278
| ~ spl2_585 ),
inference(trivial_inequality_removal,[],[f31931]) ).
thf(f31942,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_278
| ~ spl2_585 ),
inference(trivial_inequality_removal,[],[f31929]) ).
thf(f31950,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_278
| ~ spl2_363
| ~ spl2_585 ),
inference(forward_subsumption_resolution,[],[f31942,f13763]) ).
thf(f31951,plain,
( ~ spl2_251
| spl2_65
| spl2_162
| ~ spl2_262 ),
inference(avatar_split_clause,[],[f31544,f9974,f4418,f2362,f9374]) ).
thf(f31952,plain,
( spl2_357
| ~ spl2_356
| spl2_42
| ~ spl2_278
| ~ spl2_585 ),
inference(avatar_split_clause,[],[f31941,f30164,f10532,f711,f12936,f12939]) ).
thf(f31953,plain,
( ~ spl2_356
| spl2_357
| spl2_162
| ~ spl2_278
| ~ spl2_585 ),
inference(avatar_split_clause,[],[f31939,f30164,f10532,f4418,f12939,f12936]) ).
thf(f31955,plain,
( ~ spl2_251
| spl2_42
| spl2_65
| ~ spl2_262 ),
inference(avatar_split_clause,[],[f31547,f9974,f2362,f711,f9374]) ).
thf(f31956,plain,
( spl2_268
| spl2_357
| ~ spl2_278
| ~ spl2_363
| ~ spl2_585 ),
inference(avatar_split_clause,[],[f31950,f30164,f13081,f10532,f12939,f10178]) ).
cnf(s2,plain,
( spl2_4
| ~ spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f104]) ).
cnf(s3,plain,
( spl2_4
| ~ spl2_5
| spl2_7 ),
inference(sat_conversion,[],[f108]) ).
cnf(s5,plain,
( ~ spl2_4
| spl2_10
| spl2_11 ),
inference(sat_conversion,[],[f137]) ).
cnf(s6,plain,
( spl2_1
| spl2_6
| ~ spl2_12 ),
inference(sat_conversion,[],[f150]) ).
cnf(s7,plain,
( spl2_4
| spl2_13
| ~ spl2_14 ),
inference(sat_conversion,[],[f157]) ).
cnf(s8,plain,
( ~ spl2_6
| spl2_8
| spl2_15 ),
inference(sat_conversion,[],[f163]) ).
cnf(s9,plain,
( ~ spl2_6
| ~ spl2_8
| spl2_16
| spl2_17 ),
inference(sat_conversion,[],[f187]) ).
cnf(s10,plain,
( ~ spl2_6
| ~ spl2_8
| spl2_16
| spl2_18 ),
inference(sat_conversion,[],[f191]) ).
cnf(s11,plain,
( spl2_1
| ~ spl2_6
| ~ spl2_8
| ~ spl2_12
| spl2_19 ),
inference(sat_conversion,[],[f216]) ).
cnf(s12,plain,
( spl2_12
| spl2_17 ),
inference(sat_conversion,[],[f222]) ).
cnf(s15,plain,
( spl2_21
| spl2_22 ),
inference(sat_conversion,[],[f297]) ).
cnf(s23,plain,
( ~ spl2_6
| ~ spl2_10
| ~ spl2_21 ),
inference(sat_conversion,[],[f396]) ).
cnf(s24,plain,
( ~ spl2_1
| spl2_21 ),
inference(sat_conversion,[],[f402]) ).
cnf(s27,plain,
( ~ spl2_8
| ~ spl2_17
| spl2_24 ),
inference(sat_conversion,[],[f412]) ).
cnf(s36,plain,
( ~ spl2_1
| spl2_36
| spl2_37 ),
inference(sat_conversion,[],[f546]) ).
cnf(s48,plain,
( spl2_42
| ~ spl2_49 ),
inference(sat_conversion,[],[f780]) ).
cnf(s49,plain,
( spl2_46
| ~ spl2_49 ),
inference(sat_conversion,[],[f781]) ).
cnf(s52,plain,
( ~ spl2_1
| ~ spl2_24
| spl2_37 ),
inference(sat_conversion,[],[f790]) ).
cnf(s54,plain,
( ~ spl2_21
| spl2_24
| ~ spl2_42
| spl2_44 ),
inference(sat_conversion,[],[f803]) ).
cnf(s58,plain,
~ spl2_37,
inference(sat_conversion,[],[f990]) ).
cnf(s185,plain,
( ~ spl2_12
| ~ spl2_29
| spl2_71
| spl2_73 ),
inference(sat_conversion,[],[f2517]) ).
cnf(s192,plain,
( ~ spl2_1
| spl2_71 ),
inference(sat_conversion,[],[f2552]) ).
cnf(s194,plain,
( ~ spl2_21
| ~ spl2_44
| ~ spl2_65 ),
inference(sat_conversion,[],[f2567]) ).
cnf(s317,plain,
( ~ spl2_21
| ~ spl2_46
| ~ spl2_71
| spl2_123 ),
inference(sat_conversion,[],[f3765]) ).
cnf(s353,plain,
( spl2_5
| spl2_18 ),
inference(sat_conversion,[],[f4439]) ).
cnf(s355,plain,
( ~ spl2_19
| spl2_68 ),
inference(sat_conversion,[],[f4461]) ).
cnf(s365,plain,
( ~ spl2_10
| ~ spl2_42
| ~ spl2_162 ),
inference(sat_conversion,[],[f4530]) ).
cnf(s378,plain,
( ~ spl2_29
| spl2_51
| ~ spl2_166 ),
inference(sat_conversion,[],[f4770]) ).
cnf(s380,plain,
( ~ spl2_6
| ~ spl2_29
| ~ spl2_166 ),
inference(sat_conversion,[],[f4774]) ).
cnf(s416,plain,
( ~ spl2_10
| ~ spl2_12
| ~ spl2_22
| ~ spl2_29
| spl2_87 ),
inference(sat_conversion,[],[f5346]) ).
cnf(s462,plain,
( ~ spl2_12
| ~ spl2_29
| spl2_170
| ~ spl2_181 ),
inference(sat_conversion,[],[f6164]) ).
cnf(s476,plain,
( ~ spl2_49
| spl2_69
| spl2_191
| spl2_192 ),
inference(sat_conversion,[],[f6336]) ).
cnf(s482,plain,
( spl2_24
| ~ spl2_42
| ~ spl2_63 ),
inference(sat_conversion,[],[f6436]) ).
cnf(s518,plain,
( ~ spl2_19
| spl2_24
| ~ spl2_191 ),
inference(sat_conversion,[],[f6961]) ).
cnf(s519,plain,
( spl2_24
| ~ spl2_73
| spl2_166
| ~ spl2_191 ),
inference(sat_conversion,[],[f6962]) ).
cnf(s521,plain,
( spl2_24
| ~ spl2_87
| ~ spl2_191 ),
inference(sat_conversion,[],[f6964]) ).
cnf(s531,plain,
( ~ spl2_16
| ~ spl2_184
| spl2_206 ),
inference(sat_conversion,[],[f7020]) ).
cnf(s536,plain,
( ~ spl2_12
| ~ spl2_29
| ~ spl2_184
| spl2_206 ),
inference(sat_conversion,[],[f7032]) ).
cnf(s538,plain,
( ~ spl2_65
| spl2_159 ),
inference(sat_conversion,[],[f7047]) ).
cnf(s552,plain,
( ~ spl2_46
| ~ spl2_49
| spl2_59
| ~ spl2_185
| spl2_191 ),
inference(sat_conversion,[],[f7232]) ).
cnf(s553,plain,
( ~ spl2_18
| ~ spl2_24 ),
inference(sat_conversion,[],[f7240]) ).
cnf(s576,plain,
( ~ spl2_8
| ~ spl2_42
| spl2_215 ),
inference(sat_conversion,[],[f7946]) ).
cnf(s581,plain,
( ~ spl2_29
| spl2_218 ),
inference(sat_conversion,[],[f7954]) ).
cnf(s582,plain,
( spl2_71
| spl2_220 ),
inference(sat_conversion,[],[f7959]) ).
cnf(s589,plain,
( ~ spl2_21
| spl2_170 ),
inference(sat_conversion,[],[f7984]) ).
cnf(s590,plain,
( ~ spl2_21
| spl2_162 ),
inference(sat_conversion,[],[f7986]) ).
cnf(s593,plain,
( ~ spl2_21
| ~ spl2_44
| ~ spl2_186 ),
inference(sat_conversion,[],[f7997]) ).
cnf(s596,plain,
( ~ spl2_42
| spl2_69
| ~ spl2_203 ),
inference(sat_conversion,[],[f8063]) ).
cnf(s606,plain,
( ~ spl2_42
| ~ spl2_45
| ~ spl2_49
| ~ spl2_166 ),
inference(sat_conversion,[],[f8229]) ).
cnf(s609,plain,
( ~ spl2_13
| ~ spl2_221 ),
inference(sat_conversion,[],[f8259]) ).
cnf(s610,plain,
( ~ spl2_29
| ~ spl2_51
| spl2_79 ),
inference(sat_conversion,[],[f8280]) ).
cnf(s614,plain,
( ~ spl2_79
| spl2_87 ),
inference(sat_conversion,[],[f8307]) ).
cnf(s630,plain,
( ~ spl2_187
| ~ spl2_221 ),
inference(sat_conversion,[],[f8401]) ).
cnf(s637,plain,
( ~ spl2_184
| ~ spl2_228 ),
inference(sat_conversion,[],[f8491]) ).
cnf(s638,plain,
( spl2_222
| ~ spl2_228 ),
inference(sat_conversion,[],[f8496]) ).
cnf(s649,plain,
( spl2_65
| ~ spl2_184
| ~ spl2_218 ),
inference(sat_conversion,[],[f8642]) ).
cnf(s650,plain,
( ~ spl2_188
| ~ spl2_218
| spl2_228 ),
inference(sat_conversion,[],[f8643]) ).
cnf(s652,plain,
( spl2_29
| ~ spl2_159
| ~ spl2_191 ),
inference(sat_conversion,[],[f8645]) ).
cnf(s654,plain,
( ~ spl2_21
| spl2_29
| ~ spl2_42
| ~ spl2_46
| ~ spl2_208
| spl2_211 ),
inference(sat_conversion,[],[f8647]) ).
cnf(s655,plain,
( spl2_29
| ~ spl2_208
| ~ spl2_210 ),
inference(sat_conversion,[],[f8649]) ).
cnf(s657,plain,
( ~ spl2_21
| spl2_29
| ~ spl2_42
| ~ spl2_49
| spl2_69
| ~ spl2_159 ),
inference(sat_conversion,[],[f8651]) ).
cnf(s661,plain,
( spl2_230
| spl2_231 ),
inference(sat_conversion,[],[f8669]) ).
cnf(s666,plain,
( spl2_229
| spl2_232 ),
inference(sat_conversion,[],[f8704]) ).
cnf(s677,plain,
( ~ spl2_4
| ~ spl2_215 ),
inference(sat_conversion,[],[f8857]) ).
cnf(s678,plain,
( ~ spl2_4
| spl2_40 ),
inference(sat_conversion,[],[f8860]) ).
cnf(s680,plain,
( spl2_208
| ~ spl2_228 ),
inference(sat_conversion,[],[f8871]) ).
cnf(s685,plain,
( ~ spl2_8
| ~ spl2_232
| spl2_235 ),
inference(sat_conversion,[],[f8895]) ).
cnf(s688,plain,
( ~ spl2_185
| ~ spl2_235 ),
inference(sat_conversion,[],[f8912]) ).
cnf(s689,plain,
( spl2_8
| ~ spl2_49
| spl2_236 ),
inference(sat_conversion,[],[f8919]) ).
cnf(s690,plain,
( spl2_9
| ~ spl2_21
| spl2_237 ),
inference(sat_conversion,[],[f8923]) ).
cnf(s697,plain,
( ~ spl2_7
| spl2_29
| spl2_170
| ~ spl2_191 ),
inference(sat_conversion,[],[f8950]) ).
cnf(s703,plain,
( ~ spl2_17
| ~ spl2_45
| ~ spl2_49 ),
inference(sat_conversion,[],[f8966]) ).
cnf(s709,plain,
( ~ spl2_9
| ~ spl2_49
| ~ spl2_162 ),
inference(sat_conversion,[],[f8979]) ).
cnf(s710,plain,
( ~ spl2_16
| spl2_170
| ~ spl2_191
| spl2_203 ),
inference(sat_conversion,[],[f8980]) ).
cnf(s711,plain,
( ~ spl2_16
| spl2_170
| ~ spl2_188 ),
inference(sat_conversion,[],[f8981]) ).
cnf(s715,plain,
( ~ spl2_49
| spl2_241 ),
inference(sat_conversion,[],[f8990]) ).
cnf(s716,plain,
( ~ spl2_7
| spl2_29
| spl2_206
| ~ spl2_210 ),
inference(sat_conversion,[],[f8991]) ).
cnf(s717,plain,
( ~ spl2_7
| spl2_8
| spl2_242 ),
inference(sat_conversion,[],[f8996]) ).
cnf(s732,plain,
( spl2_8
| ~ spl2_18
| ~ spl2_42
| ~ spl2_46
| spl2_69 ),
inference(sat_conversion,[],[f9033]) ).
cnf(s733,plain,
( spl2_18
| ~ spl2_71 ),
inference(sat_conversion,[],[f9049]) ).
cnf(s744,plain,
( ~ spl2_7
| ~ spl2_49
| ~ spl2_236
| spl2_245 ),
inference(sat_conversion,[],[f9187]) ).
cnf(s748,plain,
( ~ spl2_28
| ~ spl2_49
| ~ spl2_236
| spl2_245 ),
inference(sat_conversion,[],[f9193]) ).
cnf(s754,plain,
( spl2_1
| ~ spl2_188
| ~ spl2_249
| spl2_250 ),
inference(sat_conversion,[],[f9371]) ).
cnf(s755,plain,
( spl2_4
| ~ spl2_188
| spl2_208
| ~ spl2_234 ),
inference(sat_conversion,[],[f9372]) ).
cnf(s763,plain,
( spl2_68
| spl2_249 ),
inference(sat_conversion,[],[f9397]) ).
cnf(s765,plain,
( ~ spl2_228
| spl2_250 ),
inference(sat_conversion,[],[f9406]) ).
cnf(s768,plain,
( ~ spl2_45
| ~ spl2_49
| ~ spl2_250 ),
inference(sat_conversion,[],[f9427]) ).
cnf(s769,plain,
( ~ spl2_45
| ~ spl2_46
| spl2_211
| ~ spl2_250 ),
inference(sat_conversion,[],[f9429]) ).
cnf(s776,plain,
( ~ spl2_49
| ~ spl2_208
| ~ spl2_236 ),
inference(sat_conversion,[],[f9470]) ).
cnf(s782,plain,
( ~ spl2_187
| ~ spl2_191
| spl2_235 ),
inference(sat_conversion,[],[f9527]) ).
cnf(s791,plain,
( spl2_24
| ~ spl2_191
| spl2_249 ),
inference(sat_conversion,[],[f9608]) ).
cnf(s792,plain,
( spl2_24
| ~ spl2_42
| ~ spl2_49
| ~ spl2_245
| spl2_249 ),
inference(sat_conversion,[],[f9611]) ).
cnf(s794,plain,
( ~ spl2_24
| ~ spl2_206 ),
inference(sat_conversion,[],[f9617]) ).
cnf(s795,plain,
( ~ spl2_24
| ~ spl2_170 ),
inference(sat_conversion,[],[f9619]) ).
cnf(s796,plain,
( ~ spl2_24
| spl2_37
| ~ spl2_245 ),
inference(sat_conversion,[],[f9621]) ).
cnf(s798,plain,
( spl2_10
| spl2_249
| spl2_257 ),
inference(sat_conversion,[],[f9634]) ).
cnf(s799,plain,
( spl2_170
| spl2_251 ),
inference(sat_conversion,[],[f9635]) ).
cnf(s802,plain,
( spl2_69
| spl2_191
| ~ spl2_231
| ~ spl2_241 ),
inference(sat_conversion,[],[f9638]) ).
cnf(s806,plain,
( ~ spl2_27
| ~ spl2_49
| spl2_69
| spl2_166
| spl2_170
| ~ spl2_236 ),
inference(sat_conversion,[],[f9642]) ).
cnf(s807,plain,
( spl2_65
| ~ spl2_184
| spl2_206
| ~ spl2_251 ),
inference(sat_conversion,[],[f9643]) ).
cnf(s808,plain,
( ~ spl2_49
| spl2_69
| ~ spl2_159
| ~ spl2_236 ),
inference(sat_conversion,[],[f9647]) ).
cnf(s812,plain,
( spl2_65
| ~ spl2_184
| spl2_208
| ~ spl2_230 ),
inference(sat_conversion,[],[f9652]) ).
cnf(s813,plain,
( spl2_4
| ~ spl2_184
| spl2_208
| ~ spl2_234 ),
inference(sat_conversion,[],[f9653]) ).
cnf(s815,plain,
( spl2_65
| ~ spl2_184
| spl2_250
| ~ spl2_251 ),
inference(sat_conversion,[],[f9655]) ).
cnf(s816,plain,
( spl2_1
| ~ spl2_184
| ~ spl2_249
| spl2_250 ),
inference(sat_conversion,[],[f9656]) ).
cnf(s818,plain,
( ~ spl2_4
| spl2_17 ),
inference(sat_conversion,[],[f9663]) ).
cnf(s822,plain,
( ~ spl2_42
| ~ spl2_46
| spl2_59
| ~ spl2_170
| spl2_191 ),
inference(sat_conversion,[],[f9683]) ).
cnf(s823,plain,
( ~ spl2_42
| ~ spl2_49
| spl2_69
| ~ spl2_170
| spl2_191 ),
inference(sat_conversion,[],[f9685]) ).
cnf(s824,plain,
( ~ spl2_10
| ~ spl2_170
| spl2_221 ),
inference(sat_conversion,[],[f9692]) ).
cnf(s825,plain,
( ~ spl2_10
| ~ spl2_206
| spl2_235 ),
inference(sat_conversion,[],[f9703]) ).
cnf(s832,plain,
( spl2_166
| spl2_210
| ~ spl2_232
| ~ spl2_241 ),
inference(sat_conversion,[],[f9745]) ).
cnf(s838,plain,
( spl2_206
| spl2_253 ),
inference(sat_conversion,[],[f9771]) ).
cnf(s844,plain,
( ~ spl2_10
| ~ spl2_18
| spl2_29 ),
inference(sat_conversion,[],[f9794]) ).
cnf(s846,plain,
( spl2_8
| ~ spl2_18
| ~ spl2_42
| ~ spl2_49 ),
inference(sat_conversion,[],[f9796]) ).
cnf(s850,plain,
( ~ spl2_65
| spl2_167 ),
inference(sat_conversion,[],[f9839]) ).
cnf(s856,plain,
( ~ spl2_235
| ~ spl2_250 ),
inference(sat_conversion,[],[f9880]) ).
cnf(s857,plain,
( ~ spl2_19
| ~ spl2_235 ),
inference(sat_conversion,[],[f9883]) ).
cnf(s868,plain,
~ spl2_69,
inference(sat_conversion,[],[f9957]) ).
cnf(s871,plain,
( spl2_69
| spl2_261
| spl2_262 ),
inference(sat_conversion,[],[f9976]) ).
cnf(s872,plain,
( spl2_69
| spl2_187
| spl2_188 ),
inference(sat_conversion,[],[f9977]) ).
cnf(s873,plain,
( spl2_69
| spl2_181
| spl2_186 ),
inference(sat_conversion,[],[f9978]) ).
cnf(s874,plain,
( spl2_8
| ~ spl2_52
| spl2_260 ),
inference(sat_conversion,[],[f9983]) ).
cnf(s876,plain,
( ~ spl2_42
| ~ spl2_46
| spl2_59
| ~ spl2_170
| spl2_191 ),
inference(sat_conversion,[],[f9992]) ).
cnf(s877,plain,
( ~ spl2_44
| ~ spl2_170
| spl2_181 ),
inference(sat_conversion,[],[f9993]) ).
cnf(s881,plain,
( ~ spl2_11
| ~ spl2_17
| ~ spl2_52 ),
inference(sat_conversion,[],[f10051]) ).
cnf(s883,plain,
( ~ spl2_11
| ~ spl2_232
| ~ spl2_250 ),
inference(sat_conversion,[],[f10055]) ).
cnf(s886,plain,
( ~ spl2_11
| ~ spl2_40
| spl2_207
| ~ spl2_250 ),
inference(sat_conversion,[],[f10069]) ).
cnf(s888,plain,
( spl2_69
| spl2_265
| spl2_266 ),
inference(sat_conversion,[],[f10079]) ).
cnf(s893,plain,
( ~ spl2_59
| spl2_69 ),
inference(sat_conversion,[],[f10145]) ).
cnf(s894,plain,
( ~ spl2_15
| ~ spl2_52
| spl2_68
| ~ spl2_159 ),
inference(sat_conversion,[],[f10152]) ).
cnf(s897,plain,
( spl2_46
| ~ spl2_264
| spl2_267 ),
inference(sat_conversion,[],[f10176]) ).
cnf(s898,plain,
( spl2_49
| ~ spl2_215
| ~ spl2_264
| spl2_268 ),
inference(sat_conversion,[],[f10181]) ).
cnf(s900,plain,
( spl2_215
| spl2_266 ),
inference(sat_conversion,[],[f10193]) ).
cnf(s901,plain,
( spl2_69
| spl2_215
| spl2_266 ),
inference(sat_conversion,[],[f10194]) ).
cnf(s903,plain,
( ~ spl2_11
| ~ spl2_42
| ~ spl2_266 ),
inference(sat_conversion,[],[f10203]) ).
cnf(s905,plain,
( ~ spl2_215
| spl2_265 ),
inference(sat_conversion,[],[f10220]) ).
cnf(s907,plain,
( spl2_18
| spl2_49
| ~ spl2_215
| ~ spl2_272 ),
inference(sat_conversion,[],[f10229]) ).
cnf(s909,plain,
( spl2_166
| ~ spl2_211 ),
inference(sat_conversion,[],[f10248]) ).
cnf(s913,plain,
( ~ spl2_44
| ~ spl2_170
| ~ spl2_186 ),
inference(sat_conversion,[],[f10278]) ).
cnf(s919,plain,
( ~ spl2_17
| ~ spl2_45
| ~ spl2_268 ),
inference(sat_conversion,[],[f10318]) ).
cnf(s920,plain,
( ~ spl2_45
| ~ spl2_68
| ~ spl2_261 ),
inference(sat_conversion,[],[f10320]) ).
cnf(s927,plain,
( ~ spl2_159
| ~ spl2_231
| ~ spl2_260 ),
inference(sat_conversion,[],[f10350]) ).
cnf(s932,plain,
( ~ spl2_42
| ~ spl2_170
| ~ spl2_192 ),
inference(sat_conversion,[],[f10436]) ).
cnf(s933,plain,
( ~ spl2_68
| ~ spl2_162
| ~ spl2_193 ),
inference(sat_conversion,[],[f10445]) ).
cnf(s934,plain,
( ~ spl2_170
| ~ spl2_212
| ~ spl2_250 ),
inference(sat_conversion,[],[f10473]) ).
cnf(s935,plain,
( ~ spl2_208
| ~ spl2_212
| ~ spl2_231 ),
inference(sat_conversion,[],[f10475]) ).
cnf(s936,plain,
( spl2_49
| ~ spl2_181
| ~ spl2_264 ),
inference(sat_conversion,[],[f10501]) ).
cnf(s937,plain,
( ~ spl2_181
| ~ spl2_188
| spl2_228
| ~ spl2_276 ),
inference(sat_conversion,[],[f10505]) ).
cnf(s941,plain,
( ~ spl2_45
| ~ spl2_250
| ~ spl2_277 ),
inference(sat_conversion,[],[f10530]) ).
cnf(s943,plain,
( spl2_162
| spl2_272 ),
inference(sat_conversion,[],[f10536]) ).
cnf(s946,plain,
( spl2_9
| ~ spl2_166
| ~ spl2_258 ),
inference(sat_conversion,[],[f10588]) ).
cnf(s947,plain,
( ~ spl2_5
| ~ spl2_166
| spl2_251 ),
inference(sat_conversion,[],[f10589]) ).
cnf(s948,plain,
( ~ spl2_166
| ~ spl2_208
| spl2_268 ),
inference(sat_conversion,[],[f10591]) ).
cnf(s953,plain,
( ~ spl2_166
| ~ spl2_188
| spl2_215 ),
inference(sat_conversion,[],[f10598]) ).
cnf(s955,plain,
( spl2_52
| ~ spl2_166
| ~ spl2_231 ),
inference(sat_conversion,[],[f10606]) ).
cnf(s956,plain,
( spl2_18
| ~ spl2_166
| ~ spl2_170 ),
inference(sat_conversion,[],[f10608]) ).
cnf(s958,plain,
( spl2_51
| spl2_52
| ~ spl2_166 ),
inference(sat_conversion,[],[f10611]) ).
cnf(s960,plain,
( spl2_18
| ~ spl2_166
| ~ spl2_242
| spl2_260 ),
inference(sat_conversion,[],[f10614]) ).
cnf(s961,plain,
( spl2_14
| spl2_52
| ~ spl2_166 ),
inference(sat_conversion,[],[f10616]) ).
cnf(s962,plain,
( ~ spl2_44
| ~ spl2_162
| ~ spl2_166
| spl2_264 ),
inference(sat_conversion,[],[f10617]) ).
cnf(s963,plain,
( ~ spl2_18
| ~ spl2_231
| ~ spl2_258 ),
inference(sat_conversion,[],[f10618]) ).
cnf(s964,plain,
( spl2_159
| ~ spl2_188
| spl2_228
| ~ spl2_229 ),
inference(sat_conversion,[],[f10619]) ).
cnf(s965,plain,
( ~ spl2_18
| ~ spl2_68
| ~ spl2_259 ),
inference(sat_conversion,[],[f10621]) ).
cnf(s966,plain,
( ~ spl2_18
| ~ spl2_250
| ~ spl2_254 ),
inference(sat_conversion,[],[f10622]) ).
cnf(s967,plain,
( ~ spl2_18
| ~ spl2_42
| ~ spl2_236 ),
inference(sat_conversion,[],[f10623]) ).
cnf(s976,plain,
( ~ spl2_42
| ~ spl2_186
| ~ spl2_257 ),
inference(sat_conversion,[],[f10740]) ).
cnf(s992,plain,
( ~ spl2_9
| ~ spl2_159
| ~ spl2_170 ),
inference(sat_conversion,[],[f10828]) ).
cnf(s998,plain,
( spl2_279
| ~ spl2_280 ),
inference(sat_conversion,[],[f11020]) ).
cnf(s1004,plain,
( ~ spl2_188
| spl2_233
| ~ spl2_279 ),
inference(sat_conversion,[],[f11071]) ).
cnf(s1007,plain,
( ~ spl2_42
| spl2_211
| ~ spl2_225
| ~ spl2_267 ),
inference(sat_conversion,[],[f11102]) ).
cnf(s1008,plain,
( ~ spl2_42
| spl2_59
| ~ spl2_257
| ~ spl2_267 ),
inference(sat_conversion,[],[f11103]) ).
cnf(s1066,plain,
( spl2_52
| ~ spl2_207
| ~ spl2_232 ),
inference(sat_conversion,[],[f11564]) ).
cnf(s1068,plain,
( spl2_18
| ~ spl2_207
| ~ spl2_242
| spl2_260 ),
inference(sat_conversion,[],[f11568]) ).
cnf(s1069,plain,
( spl2_51
| spl2_52
| ~ spl2_207 ),
inference(sat_conversion,[],[f11569]) ).
cnf(s1071,plain,
( spl2_14
| spl2_52
| ~ spl2_207 ),
inference(sat_conversion,[],[f11573]) ).
cnf(s1074,plain,
( ~ spl2_123
| spl2_218
| spl2_325 ),
inference(sat_conversion,[],[f11644]) ).
cnf(s1077,plain,
( spl2_59
| ~ spl2_159
| ~ spl2_325 ),
inference(sat_conversion,[],[f11659]) ).
cnf(s1126,plain,
( ~ spl2_22
| spl2_220 ),
inference(sat_conversion,[],[f12001]) ).
cnf(s1129,plain,
( spl2_206
| ~ spl2_222
| ~ spl2_242
| spl2_334 ),
inference(sat_conversion,[],[f12115]) ).
cnf(s1130,plain,
( ~ spl2_44
| ~ spl2_206
| spl2_211
| ~ spl2_222 ),
inference(sat_conversion,[],[f12117]) ).
cnf(s1132,plain,
( ~ spl2_206
| ~ spl2_222
| ~ spl2_258
| spl2_279 ),
inference(sat_conversion,[],[f12121]) ).
cnf(s1138,plain,
( ~ spl2_5
| ~ spl2_12
| spl2_28 ),
inference(sat_conversion,[],[f12182]) ).
cnf(s1139,plain,
( ~ spl2_12
| spl2_18
| spl2_27 ),
inference(sat_conversion,[],[f12183]) ).
cnf(s1141,plain,
( spl2_8
| ~ spl2_28
| spl2_243 ),
inference(sat_conversion,[],[f12236]) ).
cnf(s1148,plain,
( ~ spl2_42
| spl2_207
| spl2_208
| spl2_211
| ~ spl2_225
| ~ spl2_270 ),
inference(sat_conversion,[],[f12471]) ).
cnf(s1164,plain,
( ~ spl2_159
| ~ spl2_246
| ~ spl2_258
| ~ spl2_344
| spl2_350 ),
inference(sat_conversion,[],[f12776]) ).
cnf(s1165,plain,
( ~ spl2_159
| spl2_281
| ~ spl2_332
| ~ spl2_344 ),
inference(sat_conversion,[],[f12778]) ).
cnf(s1171,plain,
( spl2_14
| spl2_52
| ~ spl2_350 ),
inference(sat_conversion,[],[f12849]) ).
cnf(s1172,plain,
( ~ spl2_7
| spl2_18
| spl2_52
| ~ spl2_350 ),
inference(sat_conversion,[],[f12851]) ).
cnf(s1173,plain,
( spl2_51
| spl2_52
| ~ spl2_350 ),
inference(sat_conversion,[],[f12852]) ).
cnf(s1175,plain,
( ~ spl2_42
| ~ spl2_45
| spl2_264
| ~ spl2_350 ),
inference(sat_conversion,[],[f12856]) ).
cnf(s1177,plain,
( spl2_18
| ~ spl2_243
| spl2_260
| ~ spl2_350 ),
inference(sat_conversion,[],[f12859]) ).
cnf(s1179,plain,
( ~ spl2_44
| ~ spl2_162
| spl2_264
| ~ spl2_350 ),
inference(sat_conversion,[],[f12863]) ).
cnf(s1185,plain,
( ~ spl2_247
| spl2_281
| spl2_350
| spl2_351 ),
inference(sat_conversion,[],[f12904]) ).
cnf(s1192,plain,
( spl2_354
| spl2_356 ),
inference(sat_conversion,[],[f12955]) ).
cnf(s1195,plain,
( ~ spl2_44
| ~ spl2_270
| spl2_350
| ~ spl2_354
| spl2_361
| spl2_362 ),
inference(sat_conversion,[],[f12983]) ).
cnf(s1196,plain,
( ~ spl2_44
| ~ spl2_271
| spl2_350
| spl2_351
| ~ spl2_354
| spl2_361 ),
inference(sat_conversion,[],[f12984]) ).
cnf(s1198,plain,
( ~ spl2_42
| ~ spl2_45
| spl2_264
| ~ spl2_361 ),
inference(sat_conversion,[],[f13043]) ).
cnf(s1199,plain,
( ~ spl2_44
| ~ spl2_162
| spl2_264
| ~ spl2_361 ),
inference(sat_conversion,[],[f13045]) ).
cnf(s1201,plain,
( spl2_353
| ~ spl2_357 ),
inference(sat_conversion,[],[f13058]) ).
cnf(s1208,plain,
( spl2_351
| spl2_363 ),
inference(sat_conversion,[],[f13102]) ).
cnf(s1217,plain,
( ~ spl2_257
| ~ spl2_281
| ~ spl2_347 ),
inference(sat_conversion,[],[f13186]) ).
cnf(s1226,plain,
( ~ spl2_42
| ~ spl2_270
| spl2_350
| ~ spl2_352
| spl2_361
| spl2_362 ),
inference(sat_conversion,[],[f13277]) ).
cnf(s1236,plain,
( ~ spl2_201
| spl2_221
| spl2_281
| ~ spl2_359
| spl2_376 ),
inference(sat_conversion,[],[f13336]) ).
cnf(s1240,plain,
( ~ spl2_261
| ~ spl2_270
| ~ spl2_349
| spl2_350
| spl2_361
| spl2_362 ),
inference(sat_conversion,[],[f13460]) ).
cnf(s1265,plain,
( spl2_281
| ~ spl2_353 ),
inference(sat_conversion,[],[f13632]) ).
cnf(s1278,plain,
( spl2_206
| ~ spl2_242
| ~ spl2_268
| ~ spl2_342 ),
inference(sat_conversion,[],[f13768]) ).
cnf(s1281,plain,
( ~ spl2_44
| ~ spl2_206
| ~ spl2_342 ),
inference(sat_conversion,[],[f13780]) ).
cnf(s1283,plain,
( ~ spl2_7
| spl2_206
| ~ spl2_266
| ~ spl2_348 ),
inference(sat_conversion,[],[f13785]) ).
cnf(s1304,plain,
( ~ spl2_44
| ~ spl2_206
| spl2_207
| spl2_211
| spl2_232
| ~ spl2_271 ),
inference(sat_conversion,[],[f13866]) ).
cnf(s1306,plain,
( ~ spl2_44
| ~ spl2_206
| spl2_343 ),
inference(sat_conversion,[],[f13869]) ).
cnf(s1307,plain,
( ~ spl2_12
| spl2_228
| ~ spl2_229
| ~ spl2_253 ),
inference(sat_conversion,[],[f13884]) ).
cnf(s1310,plain,
( spl2_18
| spl2_228
| ~ spl2_229
| ~ spl2_253 ),
inference(sat_conversion,[],[f13895]) ).
cnf(s1326,plain,
( spl2_65
| ~ spl2_230
| ~ spl2_262
| ~ spl2_265 ),
inference(sat_conversion,[],[f13995]) ).
cnf(s1337,plain,
( ~ spl2_7
| ~ spl2_17
| ~ spl2_45
| spl2_162 ),
inference(sat_conversion,[],[f14023]) ).
cnf(s1338,plain,
( spl2_4
| ~ spl2_14
| ~ spl2_265
| spl2_268 ),
inference(sat_conversion,[],[f14024]) ).
cnf(s1345,plain,
( spl2_17
| ~ spl2_22
| spl2_23 ),
inference(sat_conversion,[],[f14057]) ).
cnf(s1352,plain,
( ~ spl2_22
| spl2_68
| spl2_201 ),
inference(sat_conversion,[],[f14101]) ).
cnf(s1354,plain,
( ~ spl2_45
| ~ spl2_250
| spl2_276 ),
inference(sat_conversion,[],[f14136]) ).
cnf(s1356,plain,
( ~ spl2_51
| spl2_228
| ~ spl2_229 ),
inference(sat_conversion,[],[f14151]) ).
cnf(s1357,plain,
( spl2_49
| ~ spl2_51
| ~ spl2_215 ),
inference(sat_conversion,[],[f14152]) ).
cnf(s1358,plain,
( spl2_1
| spl2_17
| ~ spl2_51 ),
inference(sat_conversion,[],[f14153]) ).
cnf(s1365,plain,
( spl2_170
| ~ spl2_354
| ~ spl2_376 ),
inference(sat_conversion,[],[f14269]) ).
cnf(s1368,plain,
( spl2_49
| ~ spl2_181
| ~ spl2_184
| ~ spl2_343 ),
inference(sat_conversion,[],[f14292]) ).
cnf(s1376,plain,
( spl2_228
| ~ spl2_229
| ~ spl2_265
| ~ spl2_276 ),
inference(sat_conversion,[],[f14326]) ).
cnf(s1378,plain,
( ~ spl2_159
| ~ spl2_236
| ~ spl2_261 ),
inference(sat_conversion,[],[f14366]) ).
cnf(s1383,plain,
( ~ spl2_256
| ~ spl2_344
| ~ spl2_351 ),
inference(sat_conversion,[],[f14450]) ).
cnf(s1384,plain,
( spl2_191
| spl2_230
| ~ spl2_344
| ~ spl2_351 ),
inference(sat_conversion,[],[f14452]) ).
cnf(s1388,plain,
( ~ spl2_230
| spl2_390 ),
inference(sat_conversion,[],[f14478]) ).
cnf(s1389,plain,
( spl2_17
| spl2_65
| ~ spl2_230
| ~ spl2_251 ),
inference(sat_conversion,[],[f14479]) ).
cnf(s1390,plain,
( spl2_18
| spl2_65
| ~ spl2_230
| ~ spl2_251 ),
inference(sat_conversion,[],[f14480]) ).
cnf(s1398,plain,
( ~ spl2_159
| spl2_230
| ~ spl2_237 ),
inference(sat_conversion,[],[f14557]) ).
cnf(s1402,plain,
( ~ spl2_186
| spl2_230
| ~ spl2_237 ),
inference(sat_conversion,[],[f14567]) ).
cnf(s1403,plain,
( spl2_229
| ~ spl2_237
| ~ spl2_250 ),
inference(sat_conversion,[],[f14570]) ).
cnf(s1404,plain,
( ~ spl2_6
| spl2_218
| ~ spl2_237 ),
inference(sat_conversion,[],[f14571]) ).
cnf(s1406,plain,
( ~ spl2_162
| ~ spl2_250
| ~ spl2_348 ),
inference(sat_conversion,[],[f14694]) ).
cnf(s1408,plain,
( spl2_1
| ~ spl2_12
| spl2_68
| ~ spl2_390 ),
inference(sat_conversion,[],[f14767]) ).
cnf(s1409,plain,
( ~ spl2_231
| ~ spl2_349
| ~ spl2_362 ),
inference(sat_conversion,[],[f14787]) ).
cnf(s1412,plain,
( spl2_65
| ~ spl2_184
| ~ spl2_262
| ~ spl2_343 ),
inference(sat_conversion,[],[f14820]) ).
cnf(s1417,plain,
( spl2_8
| ~ spl2_23
| spl2_324 ),
inference(sat_conversion,[],[f14992]) ).
cnf(s1418,plain,
( spl2_8
| ~ spl2_27
| spl2_246 ),
inference(sat_conversion,[],[f15021]) ).
cnf(s1431,plain,
( ~ spl2_5
| ~ spl2_12
| spl2_25 ),
inference(sat_conversion,[],[f15662]) ).
cnf(s1433,plain,
( spl2_8
| ~ spl2_25
| spl2_332 ),
inference(sat_conversion,[],[f15710]) ).
cnf(s1491,plain,
( spl2_268
| spl2_427 ),
inference(sat_conversion,[],[f18910]) ).
cnf(s1492,plain,
( spl2_69
| spl2_268
| spl2_427 ),
inference(sat_conversion,[],[f18912]) ).
cnf(s1740,plain,
( ~ spl2_6
| spl2_42
| spl2_268 ),
inference(sat_conversion,[],[f23242]) ).
cnf(s1741,plain,
( spl2_42
| ~ spl2_44
| ~ spl2_220
| spl2_477 ),
inference(sat_conversion,[],[f23247]) ).
cnf(s1776,plain,
( spl2_42
| spl2_382 ),
inference(sat_conversion,[],[f23431]) ).
cnf(s1779,plain,
( ~ spl2_42
| ~ spl2_271
| spl2_350
| spl2_351
| ~ spl2_352
| spl2_361 ),
inference(sat_conversion,[],[f23439]) ).
cnf(s1780,plain,
( ~ spl2_159
| ~ spl2_193
| ~ spl2_266 ),
inference(sat_conversion,[],[f23440]) ).
cnf(s1792,plain,
( spl2_1
| ~ spl2_12
| spl2_42
| ~ spl2_265 ),
inference(sat_conversion,[],[f23472]) ).
cnf(s1854,plain,
( ~ spl2_6
| spl2_68
| ~ spl2_193
| ~ spl2_266 ),
inference(sat_conversion,[],[f23605]) ).
cnf(s1869,plain,
( ~ spl2_7
| spl2_170
| ~ spl2_193
| ~ spl2_266 ),
inference(sat_conversion,[],[f23638]) ).
cnf(s1945,plain,
( ~ spl2_15
| spl2_68
| ~ spl2_186
| ~ spl2_268 ),
inference(sat_conversion,[],[f23765]) ).
cnf(s1950,plain,
( ~ spl2_45
| spl2_65
| ~ spl2_262
| ~ spl2_281
| ~ spl2_345 ),
inference(sat_conversion,[],[f23785]) ).
cnf(s1960,plain,
( spl2_170
| ~ spl2_186
| ~ spl2_242
| ~ spl2_268 ),
inference(sat_conversion,[],[f23821]) ).
cnf(s1961,plain,
( spl2_68
| ~ spl2_186
| ~ spl2_268
| ~ spl2_332 ),
inference(sat_conversion,[],[f23823]) ).
cnf(s1968,plain,
( spl2_170
| ~ spl2_186
| ~ spl2_243
| ~ spl2_268 ),
inference(sat_conversion,[],[f23840]) ).
cnf(s1977,plain,
( ~ spl2_42
| spl2_207
| spl2_211
| ~ spl2_225
| spl2_232
| ~ spl2_271 ),
inference(sat_conversion,[],[f23856]) ).
cnf(s1979,plain,
( spl2_17
| spl2_162
| ~ spl2_271 ),
inference(sat_conversion,[],[f23860]) ).
cnf(s1983,plain,
( spl2_18
| spl2_162
| ~ spl2_270 ),
inference(sat_conversion,[],[f23895]) ).
cnf(s1984,plain,
( ~ spl2_19
| spl2_42 ),
inference(sat_conversion,[],[f23897]) ).
cnf(s1985,plain,
( spl2_65
| ~ spl2_233
| ~ spl2_345 ),
inference(sat_conversion,[],[f23899]) ).
cnf(s1991,plain,
( ~ spl2_22
| spl2_42
| spl2_194 ),
inference(sat_conversion,[],[f23924]) ).
cnf(s1996,plain,
( ~ spl2_65
| ~ spl2_188 ),
inference(sat_conversion,[],[f23944]) ).
cnf(s1997,plain,
( ~ spl2_65
| ~ spl2_346 ),
inference(sat_conversion,[],[f23946]) ).
cnf(s1998,plain,
( ~ spl2_65
| spl2_68 ),
inference(sat_conversion,[],[f23950]) ).
cnf(s2008,plain,
( ~ spl2_181
| spl2_425 ),
inference(sat_conversion,[],[f24043]) ).
cnf(s2030,plain,
( ~ spl2_254
| ~ spl2_268
| ~ spl2_342 ),
inference(sat_conversion,[],[f24314]) ).
cnf(s2055,plain,
( spl2_59
| ~ spl2_167
| spl2_186 ),
inference(sat_conversion,[],[f24908]) ).
cnf(s2060,plain,
( spl2_10
| spl2_42
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324
| spl2_524 ),
inference(sat_conversion,[],[f24961]) ).
cnf(s2063,plain,
( spl2_10
| ~ spl2_15
| ~ spl2_194
| ~ spl2_268
| spl2_527 ),
inference(sat_conversion,[],[f25109]) ).
cnf(s2093,plain,
( ~ spl2_7
| spl2_162
| ~ spl2_236
| ~ spl2_242
| spl2_245
| ~ spl2_268 ),
inference(sat_conversion,[],[f26365]) ).
cnf(s2108,plain,
( spl2_49
| ~ spl2_263
| ~ spl2_272
| spl2_537 ),
inference(sat_conversion,[],[f26712]) ).
cnf(s2109,plain,
( ~ spl2_22
| spl2_69
| spl2_186
| ~ spl2_249
| ~ spl2_382 ),
inference(sat_conversion,[],[f26817]) ).
cnf(s2110,plain,
( ~ spl2_22
| spl2_69
| ~ spl2_249
| spl2_261
| ~ spl2_382 ),
inference(sat_conversion,[],[f26818]) ).
cnf(s2113,plain,
( ~ spl2_12
| ~ spl2_22
| spl2_49
| ~ spl2_263
| ~ spl2_272
| spl2_316 ),
inference(sat_conversion,[],[f26961]) ).
cnf(s2114,plain,
( spl2_10
| spl2_295
| ~ spl2_316 ),
inference(sat_conversion,[],[f27004]) ).
cnf(s2123,plain,
( spl2_59
| ~ spl2_188
| spl2_228
| ~ spl2_250
| ~ spl2_295
| ~ spl2_345 ),
inference(sat_conversion,[],[f27398]) ).
cnf(s2127,plain,
( ~ spl2_63
| spl2_235
| ~ spl2_277 ),
inference(sat_conversion,[],[f27441]) ).
cnf(s2128,plain,
( spl2_29
| ~ spl2_63
| ~ spl2_268 ),
inference(sat_conversion,[],[f27444]) ).
cnf(s2130,plain,
( ~ spl2_7
| spl2_29
| ~ spl2_63
| spl2_162 ),
inference(sat_conversion,[],[f27455]) ).
cnf(s2134,plain,
( ~ spl2_25
| spl2_29
| spl2_42
| ~ spl2_63 ),
inference(sat_conversion,[],[f27464]) ).
cnf(s2137,plain,
( spl2_4
| spl2_159
| ~ spl2_425
| ~ spl2_427 ),
inference(sat_conversion,[],[f27467]) ).
cnf(s2138,plain,
( ~ spl2_22
| spl2_166
| spl2_277
| ~ spl2_382
| ~ spl2_548 ),
inference(sat_conversion,[],[f27472]) ).
cnf(s2140,plain,
( spl2_159
| spl2_234 ),
inference(sat_conversion,[],[f27474]) ).
cnf(s2141,plain,
( ~ spl2_184
| spl2_211
| ~ spl2_275
| spl2_277 ),
inference(sat_conversion,[],[f27478]) ).
cnf(s2142,plain,
( ~ spl2_188
| spl2_228
| ~ spl2_276
| ~ spl2_425 ),
inference(sat_conversion,[],[f27479]) ).
cnf(s2143,plain,
( ~ spl2_22
| spl2_166
| spl2_342
| ~ spl2_382
| ~ spl2_548 ),
inference(sat_conversion,[],[f27483]) ).
cnf(s2147,plain,
( spl2_229
| ~ spl2_268
| ~ spl2_278 ),
inference(sat_conversion,[],[f27486]) ).
cnf(s2163,plain,
( ~ spl2_208
| ~ spl2_266
| ~ spl2_348 ),
inference(sat_conversion,[],[f27672]) ).
cnf(s2165,plain,
( ~ spl2_208
| ~ spl2_236
| spl2_276 ),
inference(sat_conversion,[],[f27675]) ).
cnf(s2181,plain,
( ~ spl2_68
| ~ spl2_344
| ~ spl2_352 ),
inference(sat_conversion,[],[f27912]) ).
cnf(s2182,plain,
( ~ spl2_258
| ~ spl2_344
| ~ spl2_354 ),
inference(sat_conversion,[],[f27915]) ).
cnf(s2188,plain,
( ~ spl2_68
| ~ spl2_295
| ~ spl2_344 ),
inference(sat_conversion,[],[f27935]) ).
cnf(s2192,plain,
( spl2_42
| spl2_59
| spl2_166
| ~ spl2_220
| ~ spl2_268
| ~ spl2_324
| ~ spl2_344
| spl2_350
| spl2_361
| ~ spl2_524 ),
inference(sat_conversion,[],[f27940]) ).
cnf(s2195,plain,
( spl2_250
| spl2_548 ),
inference(sat_conversion,[],[f27948]) ).
cnf(s2197,plain,
( spl2_229
| spl2_250
| ~ spl2_537 ),
inference(sat_conversion,[],[f27949]) ).
cnf(s2199,plain,
( ~ spl2_159
| ~ spl2_236
| spl2_262 ),
inference(sat_conversion,[],[f27993]) ).
cnf(s2215,plain,
( ~ spl2_12
| ~ spl2_22
| spl2_232
| spl2_250 ),
inference(sat_conversion,[],[f28087]) ).
cnf(s2217,plain,
( spl2_17
| spl2_207
| ~ spl2_220
| spl2_232
| spl2_250 ),
inference(sat_conversion,[],[f28092]) ).
cnf(s2221,plain,
( ~ spl2_17
| ~ spl2_159
| ~ spl2_257 ),
inference(sat_conversion,[],[f28112]) ).
cnf(s2224,plain,
( ~ spl2_17
| spl2_59
| ~ spl2_159
| ~ spl2_527 ),
inference(sat_conversion,[],[f28123]) ).
cnf(s2247,plain,
( ~ spl2_17
| ~ spl2_170
| spl2_191
| spl2_230 ),
inference(sat_conversion,[],[f28193]) ).
cnf(s2250,plain,
( spl2_18
| ~ spl2_21 ),
inference(sat_conversion,[],[f28212]) ).
cnf(s2253,plain,
( ~ spl2_21
| ~ spl2_351
| ~ spl2_360 ),
inference(sat_conversion,[],[f28230]) ).
cnf(s2256,plain,
( ~ spl2_21
| spl2_230
| ~ spl2_258 ),
inference(sat_conversion,[],[f28237]) ).
cnf(s2269,plain,
( ~ spl2_21
| spl2_206 ),
inference(sat_conversion,[],[f28292]) ).
cnf(s2289,plain,
( spl2_206
| ~ spl2_245 ),
inference(sat_conversion,[],[f28359]) ).
cnf(s2294,plain,
( ~ spl2_11
| ~ spl2_281
| ~ spl2_351 ),
inference(sat_conversion,[],[f28390]) ).
cnf(s2302,plain,
( spl2_63
| ~ spl2_186
| spl2_193 ),
inference(sat_conversion,[],[f28483]) ).
cnf(s2304,plain,
( ~ spl2_17
| ~ spl2_208
| ~ spl2_225 ),
inference(sat_conversion,[],[f28550]) ).
cnf(s2308,plain,
( ~ spl2_17
| ~ spl2_208
| spl2_211
| ~ spl2_527 ),
inference(sat_conversion,[],[f28559]) ).
cnf(s2328,plain,
( ~ spl2_17
| ~ spl2_352
| ~ spl2_362 ),
inference(sat_conversion,[],[f28676]) ).
cnf(s2335,plain,
( ~ spl2_9
| ~ spl2_354
| ~ spl2_362 ),
inference(sat_conversion,[],[f28691]) ).
cnf(s2339,plain,
( spl2_29
| ~ spl2_359
| ~ spl2_362 ),
inference(sat_conversion,[],[f28782]) ).
cnf(s2346,plain,
( ~ spl2_17
| ~ spl2_36
| spl2_151 ),
inference(sat_conversion,[],[f28909]) ).
cnf(s2348,plain,
( ~ spl2_151
| ~ spl2_208 ),
inference(sat_conversion,[],[f28922]) ).
cnf(s2351,plain,
( ~ spl2_11
| ~ spl2_220
| ~ spl2_232
| ~ spl2_252
| spl2_280
| ~ spl2_351 ),
inference(sat_conversion,[],[f28947]) ).
cnf(s2356,plain,
( ~ spl2_193
| ~ spl2_347
| ~ spl2_462 ),
inference(sat_conversion,[],[f28977]) ).
cnf(s2362,plain,
( spl2_207
| ~ spl2_361 ),
inference(sat_conversion,[],[f29043]) ).
cnf(s2363,plain,
( spl2_68
| ~ spl2_188
| spl2_228
| ~ spl2_253 ),
inference(sat_conversion,[],[f29046]) ).
cnf(s2365,plain,
( spl2_42
| ~ spl2_220
| spl2_281
| spl2_361
| spl2_462 ),
inference(sat_conversion,[],[f29051]) ).
cnf(s2368,plain,
( spl2_191
| spl2_230
| ~ spl2_261
| ~ spl2_266 ),
inference(sat_conversion,[],[f29063]) ).
cnf(s2369,plain,
( spl2_63
| ~ spl2_186
| spl2_215
| ~ spl2_231 ),
inference(sat_conversion,[],[f29064]) ).
cnf(s2370,plain,
( spl2_63
| spl2_215
| ~ spl2_232
| ~ spl2_342 ),
inference(sat_conversion,[],[f29065]) ).
cnf(s2374,plain,
( ~ spl2_71
| spl2_354 ),
inference(sat_conversion,[],[f29090]) ).
cnf(s2378,plain,
( ~ spl2_4
| ~ spl2_363 ),
inference(sat_conversion,[],[f29118]) ).
cnf(s2381,plain,
( ~ spl2_277
| ~ spl2_374 ),
inference(sat_conversion,[],[f29127]) ).
cnf(s2382,plain,
( ~ spl2_261
| ~ spl2_374 ),
inference(sat_conversion,[],[f29129]) ).
cnf(s2386,plain,
( ~ spl2_186
| ~ spl2_221 ),
inference(sat_conversion,[],[f29146]) ).
cnf(s2388,plain,
( ~ spl2_63
| spl2_221
| ~ spl2_261 ),
inference(sat_conversion,[],[f29164]) ).
cnf(s2389,plain,
( spl2_210
| spl2_229
| ~ spl2_266
| ~ spl2_277 ),
inference(sat_conversion,[],[f29166]) ).
cnf(s2393,plain,
( ~ spl2_11
| ~ spl2_68
| spl2_230 ),
inference(sat_conversion,[],[f29192]) ).
cnf(s2397,plain,
( ~ spl2_9
| ~ spl2_206
| ~ spl2_208 ),
inference(sat_conversion,[],[f29223]) ).
cnf(s2404,plain,
( ~ spl2_187
| ~ spl2_261
| ~ spl2_278 ),
inference(sat_conversion,[],[f29291]) ).
cnf(s2407,plain,
( ~ spl2_187
| ~ spl2_193
| ~ spl2_342 ),
inference(sat_conversion,[],[f29299]) ).
cnf(s2409,plain,
( ~ spl2_206
| spl2_210
| spl2_255 ),
inference(sat_conversion,[],[f29311]) ).
cnf(s2413,plain,
( spl2_10
| spl2_225
| ~ spl2_250 ),
inference(sat_conversion,[],[f29339]) ).
cnf(s2415,plain,
( ~ spl2_17
| ~ spl2_354
| spl2_359
| spl2_363 ),
inference(sat_conversion,[],[f29350]) ).
cnf(s2426,plain,
( ~ spl2_188
| spl2_228
| ~ spl2_229
| ~ spl2_390 ),
inference(sat_conversion,[],[f29420]) ).
cnf(s2427,plain,
( ~ spl2_210
| ~ spl2_342
| spl2_374 ),
inference(sat_conversion,[],[f29433]) ).
cnf(s2428,plain,
( spl2_24
| ~ spl2_210
| ~ spl2_250 ),
inference(sat_conversion,[],[f29434]) ).
cnf(s2434,plain,
( ~ spl2_192
| spl2_268
| ~ spl2_344
| spl2_357
| ~ spl2_363 ),
inference(sat_conversion,[],[f29492]) ).
cnf(s2435,plain,
( spl2_10
| ~ spl2_281
| spl2_352 ),
inference(sat_conversion,[],[f29497]) ).
cnf(s2445,plain,
( spl2_42
| ~ spl2_46 ),
inference(sat_conversion,[],[f29641]) ).
cnf(s2446,plain,
( ~ spl2_46
| spl2_69
| spl2_268 ),
inference(sat_conversion,[],[f29643]) ).
cnf(s2464,plain,
( ~ spl2_345
| spl2_350
| spl2_351
| ~ spl2_398 ),
inference(sat_conversion,[],[f29829]) ).
cnf(s2466,plain,
( ~ spl2_229
| spl2_581 ),
inference(sat_conversion,[],[f29831]) ).
cnf(s2476,plain,
( spl2_59
| spl2_585
| spl2_586 ),
inference(sat_conversion,[],[f30169]) ).
cnf(s2477,plain,
( spl2_59
| spl2_587
| spl2_588 ),
inference(sat_conversion,[],[f30176]) ).
cnf(s2479,plain,
( ~ spl2_250
| ~ spl2_352
| ~ spl2_585 ),
inference(sat_conversion,[],[f30195]) ).
cnf(s2480,plain,
( ~ spl2_255
| ~ spl2_354
| ~ spl2_585 ),
inference(sat_conversion,[],[f30197]) ).
cnf(s2483,plain,
( spl2_350
| spl2_351
| ~ spl2_385
| ~ spl2_586 ),
inference(sat_conversion,[],[f30236]) ).
cnf(s2485,plain,
( ~ spl2_188
| spl2_228
| ~ spl2_345
| ~ spl2_586 ),
inference(sat_conversion,[],[f30238]) ).
cnf(s2486,plain,
( spl2_228
| ~ spl2_229
| ~ spl2_363
| ~ spl2_586 ),
inference(sat_conversion,[],[f30239]) ).
cnf(s2487,plain,
( spl2_228
| ~ spl2_229
| spl2_362
| ~ spl2_586 ),
inference(sat_conversion,[],[f30240]) ).
cnf(s2489,plain,
( ~ spl2_5
| spl2_25
| ~ spl2_581 ),
inference(sat_conversion,[],[f30242]) ).
cnf(s2490,plain,
( spl2_65
| ~ spl2_184
| ~ spl2_229
| ~ spl2_230 ),
inference(sat_conversion,[],[f30244]) ).
cnf(s2491,plain,
( spl2_65
| ~ spl2_251
| ~ spl2_345
| spl2_354 ),
inference(sat_conversion,[],[f30246]) ).
cnf(s2492,plain,
( ~ spl2_12
| ~ spl2_22
| spl2_159
| spl2_166
| ~ spl2_249 ),
inference(sat_conversion,[],[f30247]) ).
cnf(s2494,plain,
( spl2_65
| ~ spl2_230
| ~ spl2_345
| spl2_362 ),
inference(sat_conversion,[],[f30249]) ).
cnf(s2496,plain,
( spl2_68
| ~ spl2_346
| ~ spl2_356
| spl2_357 ),
inference(sat_conversion,[],[f30254]) ).
cnf(s2497,plain,
( ~ spl2_5
| spl2_28
| ~ spl2_581 ),
inference(sat_conversion,[],[f30255]) ).
cnf(s2499,plain,
( spl2_159
| ~ spl2_346
| spl2_357
| ~ spl2_363 ),
inference(sat_conversion,[],[f30260]) ).
cnf(s2503,plain,
( spl2_65
| ~ spl2_251
| spl2_281
| ~ spl2_345 ),
inference(sat_conversion,[],[f30265]) ).
cnf(s2505,plain,
( ~ spl2_192
| spl2_230
| ~ spl2_268 ),
inference(sat_conversion,[],[f30268]) ).
cnf(s2506,plain,
( ~ spl2_12
| ~ spl2_22
| spl2_69
| spl2_266
| ~ spl2_382 ),
inference(sat_conversion,[],[f30269]) ).
cnf(s2508,plain,
( spl2_59
| spl2_187
| spl2_188 ),
inference(sat_conversion,[],[f30276]) ).
cnf(s2510,plain,
( spl2_1
| ~ spl2_249
| spl2_281
| ~ spl2_345 ),
inference(sat_conversion,[],[f30278]) ).
cnf(s2511,plain,
( ~ spl2_12
| ~ spl2_22
| spl2_166
| spl2_231
| ~ spl2_249 ),
inference(sat_conversion,[],[f30283]) ).
cnf(s2513,plain,
( spl2_170
| ~ spl2_346
| ~ spl2_356
| spl2_357 ),
inference(sat_conversion,[],[f30285]) ).
cnf(s2521,plain,
( ~ spl2_18
| spl2_229
| ~ spl2_255 ),
inference(sat_conversion,[],[f30300]) ).
cnf(s2522,plain,
( ~ spl2_17
| ~ spl2_206
| spl2_210
| spl2_229 ),
inference(sat_conversion,[],[f30301]) ).
cnf(s2538,plain,
( spl2_8
| ~ spl2_208
| spl2_254 ),
inference(sat_conversion,[],[f30408]) ).
cnf(s2544,plain,
( spl2_281
| ~ spl2_354
| spl2_361
| ~ spl2_477 ),
inference(sat_conversion,[],[f30444]) ).
cnf(s2546,plain,
( ~ spl2_260
| ~ spl2_266
| ~ spl2_268 ),
inference(sat_conversion,[],[f30453]) ).
cnf(s2559,plain,
( spl2_7
| ~ spl2_28 ),
inference(sat_conversion,[],[f30544]) ).
cnf(s2562,plain,
( ~ spl2_187
| ~ spl2_250
| ~ spl2_257 ),
inference(sat_conversion,[],[f30608]) ).
cnf(s2563,plain,
( ~ spl2_170
| ~ spl2_187
| ~ spl2_255 ),
inference(sat_conversion,[],[f30611]) ).
cnf(s2565,plain,
( ~ spl2_187
| ~ spl2_250
| ~ spl2_295 ),
inference(sat_conversion,[],[f30614]) ).
cnf(s2566,plain,
( spl2_59
| spl2_261
| spl2_262 ),
inference(sat_conversion,[],[f30615]) ).
cnf(s2567,plain,
( spl2_59
| spl2_261
| spl2_425 ),
inference(sat_conversion,[],[f30616]) ).
cnf(s2568,plain,
( ~ spl2_354
| spl2_359
| spl2_360 ),
inference(sat_conversion,[],[f30617]) ).
cnf(s2571,plain,
( ~ spl2_29
| ~ spl2_351 ),
inference(sat_conversion,[],[f30632]) ).
cnf(s2572,plain,
( ~ spl2_29
| ~ spl2_266 ),
inference(sat_conversion,[],[f30634]) ).
cnf(s2576,plain,
( ~ spl2_29
| spl2_46
| ~ spl2_215
| spl2_597 ),
inference(sat_conversion,[],[f30654]) ).
cnf(s2580,plain,
( ~ spl2_208
| ~ spl2_235 ),
inference(sat_conversion,[],[f30690]) ).
cnf(s2581,plain,
( ~ spl2_29
| ~ spl2_232 ),
inference(sat_conversion,[],[f30693]) ).
cnf(s2582,plain,
( ~ spl2_235
| ~ spl2_342 ),
inference(sat_conversion,[],[f30695]) ).
cnf(s2585,plain,
( spl2_215
| ~ spl2_218 ),
inference(sat_conversion,[],[f30700]) ).
cnf(s2587,plain,
( ~ spl2_8
| spl2_237 ),
inference(sat_conversion,[],[f30714]) ).
cnf(s2588,plain,
( ~ spl2_8
| ~ spl2_266
| spl2_374 ),
inference(sat_conversion,[],[f30715]) ).
cnf(s2596,plain,
( spl2_207
| ~ spl2_343
| ~ spl2_597 ),
inference(sat_conversion,[],[f30768]) ).
cnf(s2601,plain,
( ~ spl2_235
| ~ spl2_276
| ~ spl2_374
| spl2_600
| spl2_601 ),
inference(sat_conversion,[],[f30801]) ).
cnf(s2608,plain,
( ~ spl2_235
| ~ spl2_587 ),
inference(sat_conversion,[],[f30871]) ).
cnf(s2613,plain,
( ~ spl2_237
| spl2_363
| ~ spl2_585 ),
inference(sat_conversion,[],[f30904]) ).
cnf(s2614,plain,
( ~ spl2_235
| spl2_357
| ~ spl2_363
| ~ spl2_588 ),
inference(sat_conversion,[],[f30905]) ).
cnf(s2617,plain,
( spl2_361
| ~ spl2_586
| ~ spl2_601 ),
inference(sat_conversion,[],[f30940]) ).
cnf(s2620,plain,
( spl2_4
| spl2_229
| ~ spl2_600 ),
inference(sat_conversion,[],[f31043]) ).
cnf(s2624,plain,
( ~ spl2_8
| spl2_29
| ~ spl2_52 ),
inference(sat_conversion,[],[f31050]) ).
cnf(s2630,plain,
( spl2_59
| spl2_186
| spl2_425 ),
inference(sat_conversion,[],[f31061]) ).
cnf(s2632,plain,
( spl2_59
| spl2_181
| spl2_186 ),
inference(sat_conversion,[],[f31064]) ).
cnf(s2633,plain,
( spl2_69
| spl2_184
| spl2_185 ),
inference(sat_conversion,[],[f31065]) ).
cnf(s2636,plain,
( spl2_162
| spl2_228
| ~ spl2_253
| ~ spl2_276 ),
inference(sat_conversion,[],[f31068]) ).
cnf(s2638,plain,
( spl2_59
| spl2_184
| spl2_185 ),
inference(sat_conversion,[],[f31071]) ).
cnf(s2641,plain,
( ~ spl2_52
| spl2_63
| spl2_215
| ~ spl2_266 ),
inference(sat_conversion,[],[f31074]) ).
cnf(s2642,plain,
( ~ spl2_52
| spl2_210
| spl2_229
| ~ spl2_232 ),
inference(sat_conversion,[],[f31075]) ).
cnf(s2648,plain,
( ~ spl2_24
| spl2_272 ),
inference(sat_conversion,[],[f31096]) ).
cnf(s2649,plain,
( ~ spl2_24
| spl2_272 ),
inference(sat_conversion,[],[f31098]) ).
cnf(s2650,plain,
( ~ spl2_24
| ~ spl2_162 ),
inference(sat_conversion,[],[f31100]) ).
cnf(s2651,plain,
( ~ spl2_68
| ~ spl2_221 ),
inference(sat_conversion,[],[f31105]) ).
cnf(s2652,plain,
( ~ spl2_159
| ~ spl2_221 ),
inference(sat_conversion,[],[f31108]) ).
cnf(s2653,plain,
( spl2_208
| spl2_357
| ~ spl2_363
| ~ spl2_588 ),
inference(sat_conversion,[],[f31109]) ).
cnf(s2654,plain,
( spl2_228
| ~ spl2_229
| spl2_268
| ~ spl2_276 ),
inference(sat_conversion,[],[f31110]) ).
cnf(s2655,plain,
( spl2_42
| spl2_228
| ~ spl2_253
| ~ spl2_276 ),
inference(sat_conversion,[],[f31111]) ).
cnf(s2666,plain,
( spl2_262
| ~ spl2_276
| ~ spl2_279 ),
inference(sat_conversion,[],[f31189]) ).
cnf(s2667,plain,
( ~ spl2_4
| ~ spl2_230 ),
inference(sat_conversion,[],[f31191]) ).
cnf(s2668,plain,
( ~ spl2_4
| ~ spl2_52
| spl2_63
| ~ spl2_266 ),
inference(sat_conversion,[],[f31194]) ).
cnf(s2672,plain,
( spl2_8
| spl2_9
| ~ spl2_18 ),
inference(sat_conversion,[],[f31207]) ).
cnf(s2673,plain,
( spl2_166
| spl2_346
| spl2_347 ),
inference(sat_conversion,[],[f31216]) ).
cnf(s2674,plain,
( spl2_166
| spl2_231
| spl2_390 ),
inference(sat_conversion,[],[f31217]) ).
cnf(s2675,plain,
( spl2_166
| spl2_344
| spl2_345 ),
inference(sat_conversion,[],[f31218]) ).
cnf(s2676,plain,
( spl2_166
| spl2_342
| spl2_343 ),
inference(sat_conversion,[],[f31219]) ).
cnf(s2677,plain,
( spl2_166
| spl2_276
| spl2_277 ),
inference(sat_conversion,[],[f31220]) ).
cnf(s2678,plain,
( spl2_10
| ~ spl2_42
| spl2_45 ),
inference(sat_conversion,[],[f31223]) ).
cnf(s2680,plain,
( ~ spl2_17
| spl2_63
| ~ spl2_162
| spl2_215 ),
inference(sat_conversion,[],[f31230]) ).
cnf(s2684,plain,
( spl2_46
| ~ spl2_215
| spl2_270 ),
inference(sat_conversion,[],[f31248]) ).
cnf(s2686,plain,
( spl2_8
| ~ spl2_159
| spl2_259 ),
inference(sat_conversion,[],[f31272]) ).
cnf(s2687,plain,
( ~ spl2_218
| spl2_230 ),
inference(sat_conversion,[],[f31274]) ).
cnf(s2690,plain,
( ~ spl2_49
| spl2_268 ),
inference(sat_conversion,[],[f31289]) ).
cnf(s2691,plain,
( spl2_63
| spl2_263
| ~ spl2_266 ),
inference(sat_conversion,[],[f31296]) ).
cnf(s2692,plain,
( spl2_8
| spl2_236
| ~ spl2_268 ),
inference(sat_conversion,[],[f31299]) ).
cnf(s2697,plain,
( spl2_191
| spl2_192
| ~ spl2_261 ),
inference(sat_conversion,[],[f31332]) ).
cnf(s2699,plain,
( spl2_210
| ~ spl2_232
| spl2_252 ),
inference(sat_conversion,[],[f31339]) ).
cnf(s2701,plain,
( spl2_211
| ~ spl2_268
| ~ spl2_334 ),
inference(sat_conversion,[],[f31370]) ).
cnf(s2711,plain,
( spl2_170
| ~ spl2_188
| spl2_228
| ~ spl2_253 ),
inference(sat_conversion,[],[f31446]) ).
cnf(s2714,plain,
( spl2_49
| spl2_208
| ~ spl2_215
| ~ spl2_343 ),
inference(sat_conversion,[],[f31447]) ).
cnf(s2715,plain,
( spl2_49
| spl2_159
| ~ spl2_181
| ~ spl2_215 ),
inference(sat_conversion,[],[f31448]) ).
cnf(s2716,plain,
( ~ spl2_185
| spl2_191
| spl2_212 ),
inference(sat_conversion,[],[f31449]) ).
cnf(s2717,plain,
( spl2_49
| spl2_68
| ~ spl2_181
| ~ spl2_272 ),
inference(sat_conversion,[],[f31450]) ).
cnf(s2718,plain,
( spl2_49
| spl2_250
| ~ spl2_272
| ~ spl2_343 ),
inference(sat_conversion,[],[f31451]) ).
cnf(s2719,plain,
( spl2_49
| spl2_206
| ~ spl2_272
| ~ spl2_343 ),
inference(sat_conversion,[],[f31453]) ).
cnf(s2722,plain,
( spl2_49
| spl2_170
| ~ spl2_181
| ~ spl2_272 ),
inference(sat_conversion,[],[f31457]) ).
cnf(s2726,plain,
( ~ spl2_12
| spl2_71
| spl2_247 ),
inference(sat_conversion,[],[f31476]) ).
cnf(s2729,plain,
( spl2_44
| spl2_63
| ~ spl2_162 ),
inference(sat_conversion,[],[f31488]) ).
cnf(s2730,plain,
( spl2_10
| ~ spl2_68
| spl2_257 ),
inference(sat_conversion,[],[f31491]) ).
cnf(s2731,plain,
( ~ spl2_170
| spl2_191
| spl2_258 ),
inference(sat_conversion,[],[f31496]) ).
cnf(s2735,plain,
( spl2_167
| ~ spl2_230
| spl2_398 ),
inference(sat_conversion,[],[f31530]) ).
cnf(s2737,plain,
( ~ spl2_9
| ~ spl2_162
| ~ spl2_268 ),
inference(sat_conversion,[],[f31535]) ).
cnf(s2739,plain,
( spl2_167
| ~ spl2_262
| spl2_275 ),
inference(sat_conversion,[],[f31551]) ).
cnf(s2767,plain,
( spl2_228
| ~ spl2_253
| spl2_281
| ~ spl2_586 ),
inference(sat_conversion,[],[f31758]) ).
cnf(s2768,plain,
( spl2_228
| ~ spl2_253
| spl2_354
| ~ spl2_586 ),
inference(sat_conversion,[],[f31759]) ).
cnf(s2770,plain,
( ~ spl2_252
| ~ spl2_351
| ~ spl2_585 ),
inference(sat_conversion,[],[f31769]) ).
cnf(s2773,plain,
( ~ spl2_185
| ~ spl2_206
| ~ spl2_258 ),
inference(sat_conversion,[],[f31774]) ).
cnf(s2774,plain,
( spl2_65
| ~ spl2_230
| ~ spl2_262
| spl2_268 ),
inference(sat_conversion,[],[f31775]) ).
cnf(s2775,plain,
( ~ spl2_18
| ~ spl2_44
| spl2_215 ),
inference(sat_conversion,[],[f31776]) ).
cnf(s2776,plain,
( ~ spl2_187
| spl2_210
| spl2_229
| ~ spl2_231 ),
inference(sat_conversion,[],[f31777]) ).
cnf(s2777,plain,
( ~ spl2_17
| spl2_63
| ~ spl2_162
| spl2_215 ),
inference(sat_conversion,[],[f31778]) ).
cnf(s2779,plain,
( spl2_210
| spl2_229
| ~ spl2_351
| ~ spl2_585 ),
inference(sat_conversion,[],[f31780]) ).
cnf(s2781,plain,
( ~ spl2_185
| spl2_191
| spl2_230
| ~ spl2_232 ),
inference(sat_conversion,[],[f31782]) ).
cnf(s2786,plain,
( spl2_10
| spl2_11
| ~ spl2_17 ),
inference(sat_conversion,[],[f31795]) ).
cnf(s2787,plain,
( spl2_46
| ~ spl2_215
| spl2_271 ),
inference(sat_conversion,[],[f31812]) ).
cnf(s2790,plain,
( spl2_46
| ~ spl2_215
| spl2_270 ),
inference(sat_conversion,[],[f31813]) ).
cnf(s2793,plain,
( spl2_191
| ~ spl2_231
| spl2_256 ),
inference(sat_conversion,[],[f31832]) ).
cnf(s2794,plain,
( spl2_222
| ~ spl2_229
| spl2_385 ),
inference(sat_conversion,[],[f31851]) ).
cnf(s2797,plain,
( spl2_211
| spl2_276
| spl2_277 ),
inference(sat_conversion,[],[f31859]) ).
cnf(s2799,plain,
( spl2_210
| ~ spl2_277
| spl2_278 ),
inference(sat_conversion,[],[f31867]) ).
cnf(s2800,plain,
( spl2_63
| ~ spl2_342
| spl2_348 ),
inference(sat_conversion,[],[f31874]) ).
cnf(s2805,plain,
( spl2_191
| ~ spl2_344
| spl2_349 ),
inference(sat_conversion,[],[f31905]) ).
cnf(s2811,plain,
( spl2_65
| spl2_162
| ~ spl2_251
| ~ spl2_262 ),
inference(sat_conversion,[],[f31951]) ).
cnf(s2812,plain,
( spl2_42
| ~ spl2_278
| ~ spl2_356
| spl2_357
| ~ spl2_585 ),
inference(sat_conversion,[],[f31952]) ).
cnf(s2813,plain,
( spl2_162
| ~ spl2_278
| ~ spl2_356
| spl2_357
| ~ spl2_585 ),
inference(sat_conversion,[],[f31953]) ).
cnf(s2814,plain,
( spl2_42
| spl2_65
| ~ spl2_251
| ~ spl2_262 ),
inference(sat_conversion,[],[f31955]) ).
cnf(s2815,plain,
( spl2_268
| ~ spl2_278
| spl2_357
| ~ spl2_363
| ~ spl2_585 ),
inference(sat_conversion,[],[f31956]) ).
cnf(s2817,plain,
~ spl2_59,
inference(rat,[],[s893,s868]) ).
cnf(s2819,plain,
( ~ spl2_42
| ~ spl2_49
| ~ spl2_170
| spl2_191 ),
inference(rat,[],[s823,s868]) ).
cnf(s2820,plain,
( ~ spl2_42
| ~ spl2_46
| ~ spl2_170
| spl2_191 ),
inference(rat,[],[s822,s2817]) ).
cnf(s2821,plain,
( ~ spl2_49
| ~ spl2_159
| ~ spl2_236 ),
inference(rat,[],[s808,s868]) ).
cnf(s2822,plain,
( ~ spl2_27
| ~ spl2_49
| spl2_166
| spl2_170
| ~ spl2_236 ),
inference(rat,[],[s806,s868]) ).
cnf(s2823,plain,
( spl2_191
| ~ spl2_231
| ~ spl2_241 ),
inference(rat,[],[s802,s868]) ).
cnf(s2829,plain,
( spl2_8
| ~ spl2_18
| ~ spl2_42
| ~ spl2_46 ),
inference(rat,[],[s732,s868]) ).
cnf(s2840,plain,
( ~ spl2_21
| spl2_29
| ~ spl2_42
| ~ spl2_49
| ~ spl2_159 ),
inference(rat,[],[s657,s868]) ).
cnf(s2848,plain,
( ~ spl2_42
| ~ spl2_203 ),
inference(rat,[],[s596,s868]) ).
cnf(s2857,plain,
( ~ spl2_46
| ~ spl2_49
| ~ spl2_185
| spl2_191 ),
inference(rat,[],[s552,s2817]) ).
cnf(s2867,plain,
( ~ spl2_49
| spl2_191
| spl2_192 ),
inference(rat,[],[s476,s868]) ).
cnf(s2892,plain,
( ~ spl2_1
| ~ spl2_24 ),
inference(rat,[],[s52,s58]) ).
cnf(s2893,plain,
( ~ spl2_1
| spl2_36 ),
inference(rat,[],[s36,s58]) ).
cnf(s2895,plain,
( ~ spl2_352
| spl2_228
| ~ spl2_229
| ~ spl2_250
| ~ spl2_17 ),
inference(rat,[],[s2476,s2487,s2479,s2328,s2817]) ).
cnf(s2896,plain,
( ~ spl2_187
| ~ spl2_193
| spl2_221
| ~ spl2_201
| ~ spl2_272
| spl2_42
| ~ spl2_220
| spl2_14
| spl2_10
| ~ spl2_9
| ~ spl2_17
| spl2_24 ),
inference(rat,[],[s1236,s2415,s1365,s1192,s2499,s2513,s2673,s2356,s1201,s2365,s1265,s2435,s2895,s1780,s901,s2563,s680,s2714,s2522,s2409,s2397,s2428,s2719,s2718,s2676,s2407,s961,s2362,s1071,s881,s2786,s48,s868]) ).
cnf(s2897,plain,
( spl2_68
| ~ spl2_272
| spl2_63
| spl2_42
| spl2_29
| ~ spl2_22
| spl2_14
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_1 ),
inference(rat,[],[s1240,s1409,s2805,s2675,s2790,s2510,s2369,s2435,s652,s2674,s2895,s964,s2426,s680,s666,s2538,s883,s966,s754,s2508,s2896,s2302,s2386,s2110,s2109,s1352,s763,s2672,s27,s553,s1171,s961,s2362,s1071,s881,s2786,s1126,s2445,s1776,s2817,s868]) ).
cnf(s2898,plain,
( ~ spl2_281
| ~ spl2_398
| ~ spl2_68
| spl2_166
| spl2_350
| ~ spl2_11
| spl2_10 ),
inference(rat,[],[s2675,s2464,s2181,s2294,s2435]) ).
cnf(s2899,plain,
( spl2_208
| spl2_65
| ~ spl2_234
| ~ spl2_68
| spl2_162
| spl2_63
| spl2_42
| ~ spl2_22
| spl2_166
| spl2_350
| ~ spl2_11
| spl2_10
| ~ spl2_9
| spl2_4 ),
inference(rat,[],[s2675,s2494,s2182,s2335,s1192,s2813,s2476,s1201,s2767,s1265,s2898,s838,s2409,s2731,s2563,s2735,s2722,s2799,s2055,s873,s2427,s2302,s2381,s2407,s2138,s2143,s782,s2195,s688,s2562,s2638,s872,s812,s755,s680,s1776,s48,s943,s2730,s2393,s2817,s868]) ).
cnf(s2900,plain,
( ~ spl2_352
| spl2_65
| ~ spl2_230
| ~ spl2_68
| spl2_166
| ~ spl2_17 ),
inference(rat,[],[s2675,s2494,s2181,s2328]) ).
cnf(s2901,plain,
( spl2_65
| ~ spl2_68
| spl2_162
| spl2_63
| spl2_42
| spl2_29
| ~ spl2_22
| spl2_14
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_4 ),
inference(rat,[],[s1208,s2815,s2770,s2476,s1201,s2767,s1265,s2435,s2900,s2699,s666,s964,s2508,s2404,s871,s2774,s2799,s2030,s2138,s2676,s765,s2195,s2719,s838,s966,s2397,s655,s2538,s2899,s2672,s27,s553,s1171,s961,s881,s1776,s48,s943,s2393,s2786,s2140,s2221,s2730,s2817,s868]) ).
cnf(s2902,plain,
( spl2_63
| spl2_44
| spl2_42
| spl2_29
| ~ spl2_22
| spl2_14
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s538,s2901,s2221,s2730,s2897,s943,s2729]) ).
cnf(s2903,plain,
( ~ spl2_249
| ~ spl2_63
| ~ spl2_382
| ~ spl2_22 ),
inference(rat,[],[s2388,s2386,s2110,s2109,s868]) ).
cnf(s2904,plain,
( ~ spl2_63
| ~ spl2_382
| spl2_29
| ~ spl2_22
| spl2_10
| ~ spl2_17
| spl2_4 ),
inference(rat,[],[s2567,s2388,s2137,s2651,s2221,s763,s798,s2903,s1492,s2128,s2817,s868]) ).
cnf(s2905,plain,
( spl2_208
| ~ spl2_234
| ~ spl2_193
| ~ spl2_215
| spl2_49
| spl2_166
| spl2_4 ),
inference(rat,[],[s2407,s2676,s872,s2714,s755,s868]) ).
cnf(s2907,plain,
( spl2_250
| ~ spl2_193
| ~ spl2_249
| ~ spl2_382
| ~ spl2_22
| spl2_166
| spl2_1 ),
inference(rat,[],[s2407,s872,s2143,s754,s2195,s868]) ).
cnf(s2908,plain,
( spl2_68
| ~ spl2_215
| spl2_63
| spl2_42
| spl2_29
| ~ spl2_22
| spl2_14
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_1 ),
inference(rat,[],[s2714,s2676,s2538,s2800,s966,s1406,s2907,s2302,s943,s2109,s2897,s763,s27,s553,s961,s881,s2786,s1776,s48,s868]) ).
cnf(s2909,plain,
( spl2_42
| spl2_29
| ~ spl2_22
| spl2_14
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s2302,s933,s2632,s2901,s2715,s538,s2221,s2730,s2908,s2775,s2902,s2904,s48,s1776,s2817]) ).
cnf(s2910,plain,
( ~ spl2_250
| ~ spl2_271
| ~ spl2_42
| spl2_211
| spl2_207
| ~ spl2_11
| spl2_10 ),
inference(rat,[],[s1977,s883,s2413]) ).
cnf(s2911,plain,
( ~ spl2_382
| ~ spl2_249
| spl2_250
| spl2_63
| ~ spl2_22
| spl2_166
| spl2_1 ),
inference(rat,[],[s2302,s2907,s2109,s868]) ).
cnf(s2912,plain,
( ~ spl2_186
| ~ spl2_212
| spl2_191
| ~ spl2_187
| spl2_65
| spl2_250
| ~ spl2_271
| spl2_268
| spl2_49
| spl2_63
| ~ spl2_42
| spl2_29
| ~ spl2_220
| spl2_361
| spl2_166
| spl2_350
| ~ spl2_11
| spl2_10 ),
inference(rat,[],[s2434,s1201,s2675,s1265,s2491,s2435,s1196,s1779,s1208,s2351,s2699,s998,s666,s2666,s2654,s2677,s2799,s2697,s2404,s871,s799,s2774,s913,s661,s2729,s935,s655,s943,s2714,s2718,s2676,s2407,s2302,s900,s903,s765,s868]) ).
cnf(s2913,plain,
( ~ spl2_208
| spl2_167
| ~ spl2_212
| spl2_191
| ~ spl2_187
| spl2_65
| spl2_228
| ~ spl2_271
| spl2_268
| ~ spl2_42
| spl2_29
| ~ spl2_220
| spl2_361
| spl2_166
| spl2_350
| ~ spl2_11
| spl2_10 ),
inference(rat,[],[s1201,s2434,s1265,s2675,s2435,s2464,s1779,s1208,s2351,s2699,s998,s666,s2666,s2654,s2677,s2799,s2697,s2404,s871,s2735,s2774,s661,s935,s655,s868]) ).
cnf(s2914,plain,
( ~ spl2_352
| ~ spl2_270
| ~ spl2_42
| spl2_361
| spl2_350
| ~ spl2_17 ),
inference(rat,[],[s1226,s2328]) ).
cnf(s2915,plain,
( ~ spl2_261
| ~ spl2_585
| ~ spl2_342
| spl2_191
| ~ spl2_344
| ~ spl2_187
| spl2_357
| spl2_228
| spl2_268
| spl2_166 ),
inference(rat,[],[s2779,s2654,s1208,s2677,s2434,s2799,s2427,s2697,s2404,s2382]) ).
cnf(s2916,plain,
( spl2_68
| spl2_281
| spl2_250
| ~ spl2_271
| spl2_268
| spl2_49
| spl2_63
| ~ spl2_42
| spl2_29
| ~ spl2_220
| spl2_361
| spl2_166
| spl2_350
| ~ spl2_11
| spl2_10
| spl2_1 ),
inference(rat,[],[s2427,s2799,s2381,s2797,s2815,s2654,s1208,s666,s1384,s2781,s1326,s2566,s2915,s2476,s2767,s838,s2676,s1306,s2729,s2714,s943,s2913,s2717,s2055,s873,s2912,s2716,s782,s688,s2675,s872,s2638,s2510,s754,s816,s763,s1998,s909,s900,s888,s903,s765,s1201,s1265,s2817,s868]) ).
cnf(s2917,plain,
( spl2_29
| ~ spl2_22
| spl2_14
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s2137,s2567,s2221,s920,s2730,s2916,s2435,s2914,s2910,s2787,s2790,s1492,s900,s2692,s903,s2678,s2829,s846,s967,s482,s2909,s27,s553,s1171,s2362,s1071,s909,s961,s881,s2786,s1126,s2817,s868]) ).
cnf(s2918,plain,
( ~ spl2_249
| spl2_63
| ~ spl2_342
| ~ spl2_382
| ~ spl2_218
| ~ spl2_22
| spl2_166
| spl2_8
| ~ spl2_18
| spl2_1 ),
inference(rat,[],[s650,s2508,s680,s2407,s2538,s2302,s966,s2109,s2911,s2817,s868]) ).
cnf(s2919,plain,
( spl2_63
| ~ spl2_342
| spl2_42
| ~ spl2_363
| ~ spl2_215
| ~ spl2_218
| ~ spl2_22
| spl2_14
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_1 ),
inference(rat,[],[s2673,s2499,s2356,s1201,s2365,s1265,s2302,s2435,s2632,s2900,s2715,s538,s2221,s763,s798,s2918,s27,s553,s961,s2362,s1071,s881,s2786,s1126,s2687,s1776,s48,s2817]) ).
cnf(s2920,plain,
( spl2_42
| ~ spl2_29
| ~ spl2_22
| spl2_14
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_1 ),
inference(rat,[],[s2566,s1326,s2388,s538,s2651,s2221,s763,s798,s2903,s2919,s2676,s2596,s2576,s1776,s2445,s1071,s961,s881,s2786,s900,s888,s2572,s1208,s2571,s2687,s581,s2817,s868]) ).
cnf(s2921,plain,
( ~ spl2_22
| spl2_14
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s2427,s2799,s2381,s2815,s2797,s2476,s1201,s1376,s2486,s1265,s765,s2435,s2676,s2910,s2914,s2596,s2787,s2790,s2576,s2692,s2829,s967,s2920,s1208,s888,s900,s666,s2571,s2572,s2581,s2917,s27,s553,s1171,s2362,s1071,s909,s961,s881,s2786,s2817,s868]) ).
cnf(s2922,plain,
( ~ spl2_21
| ~ spl2_9
| spl2_4 ),
inference(rat,[],[s2388,s2729,s2386,s877,s2567,s2630,s2008,s2137,s1492,s992,s2737,s589,s590,s2817,s868]) ).
cnf(s2923,plain,
( spl2_68
| spl2_166
| spl2_63
| spl2_42
| spl2_10
| ~ spl2_22
| ~ spl2_17
| ~ spl2_18
| spl2_1 ),
inference(rat,[],[s2407,s872,s2676,s2363,s2719,s838,s2409,s943,s2480,s2729,s2476,s1741,s2487,s2544,s2335,s1192,s2496,s2673,s2356,s1201,s2365,s1265,s2362,s2435,s1069,s2895,s1356,s680,s666,s2538,s2302,s883,s2428,s966,s2109,s2911,s763,s2672,s27,s553,s1126,s881,s2786,s1776,s48,s868,s2817]) ).
cnf(s2924,plain,
( ~ spl2_250
| ~ spl2_234
| ~ spl2_257
| spl2_8
| ~ spl2_18
| spl2_4 ),
inference(rat,[],[s755,s2508,s2538,s2562,s966,s2817]) ).
cnf(s2925,plain,
( spl2_229
| spl2_210
| ~ spl2_277
| ~ spl2_14
| spl2_4 ),
inference(rat,[],[s888,s1338,s2389,s2147,s2799,s868]) ).
cnf(s2926,plain,
( spl2_166
| spl2_63
| spl2_42
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s2899,s2163,s2737,s888,s2774,s1326,s2566,s2404,s872,s1173,s964,s1356,s2925,s2799,s2427,s2381,s2800,s2138,s2143,s765,s2195,s2924,s538,s2140,s2221,s2393,s2730,s2923,s881,s2786,s2921,s15,s2922,s2672,s27,s553,s1776,s868,s2817]) ).
cnf(s2927,plain,
( ~ spl2_250
| ~ spl2_51
| ~ spl2_11
| spl2_8
| ~ spl2_18 ),
inference(rat,[],[s1356,s680,s666,s2538,s883,s966]) ).
cnf(s2928,plain,
( spl2_63
| spl2_42
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s1356,s2197,s765,s2927,s2108,s943,s2691,s2777,s901,s1357,s958,s2926,s27,s553,s881,s2786,s48,s868]) ).
cnf(s2929,plain,
( spl2_42
| spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s1326,s538,s888,s2393,s2221,s2566,s2572,s763,s798,s2388,s2904,s2903,s2928,s1776,s2786,s609,s7,s2921,s15,s2922,s2672,s27,s553,s868,s2817]) ).
cnf(s2930,plain,
( spl2_10
| ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s1338,s888,s2692,s903,s967,s2929,s2921,s2786,s15,s2922,s2672,s27,s553,s868]) ).
cnf(s2931,plain,
( ~ spl2_342
| spl2_63
| spl2_42
| ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s765,s966,s964,s2538,s2508,s2905,s2407,s2302,s2632,s2715,s2140,s2686,s965,s763,s2918,s15,s2922,s2672,s27,s553,s581,s666,s2581,s1776,s378,s1357,s48,s900,s2572,s844,s2930,s2817]) ).
cnf(s2932,plain,
( spl2_342
| spl2_166
| spl2_49
| ~ spl2_382
| ~ spl2_215
| ~ spl2_22
| spl2_8
| ~ spl2_18 ),
inference(rat,[],[s966,s2538,s2195,s2714,s2143,s2676]) ).
cnf(s2933,plain,
( spl2_42
| ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s2538,s680,s966,s1376,s2195,s2677,s2138,s2127,s2931,s2582,s2932,s378,s1357,s48,s1776,s15,s2922,s2672,s27,s553,s666,s2581,s900,s888,s2572,s844,s2930,s868]) ).
cnf(s2934,plain,
( spl2_208
| spl2_166
| ~ spl2_272
| spl2_49
| spl2_63
| ~ spl2_215
| ~ spl2_218
| ~ spl2_10 ),
inference(rat,[],[s873,s2722,s2302,s824,s2407,s630,s872,s2676,s650,s2714,s680,s868]) ).
cnf(s2935,plain,
( ~ spl2_17
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s873,s2722,s2302,s824,s2407,s630,s872,s650,s2676,s765,s2719,s966,s2397,s2538,s2934,s378,s943,s1357,s365,s846,s482,s2933,s900,s581,s2572,s844,s2930,s2672,s27,s553,s868]) ).
cnf(s2936,plain,
( ~ spl2_250
| ~ spl2_345
| ~ spl2_295
| spl2_8
| ~ spl2_18 ),
inference(rat,[],[s2123,s680,s2508,s2538,s2565,s966,s2817]) ).
cnf(s2937,plain,
( spl2_42
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s2370,s2143,s2215,s2195,s2936,s2675,s2192,s2060,s2114,s1417,s2362,s2113,s1126,s1345,s958,s1069,s1173,s2691,s943,s15,s874,s2128,s844,s2737,s2922,s2546,s2572,s2672,s888,s905,s11,s1792,s48,s1740,s1776,s1984,s1358,s6,s12,s2935,s2817,s868]) ).
cnf(s2938,plain,
( ~ spl2_250
| spl2_8
| spl2_211
| spl2_10
| ~ spl2_42
| ~ spl2_18 ),
inference(rat,[],[s2729,s2775,s2636,s2790,s838,s1148,s2409,s1066,s2642,s2521,s666,s2654,s680,s2538,s1354,s2413,s2428,s966,s482,s553,s2678,s2829,s2692,s967]) ).
cnf(s2939,plain,
( spl2_215
| ~ spl2_232
| spl2_250
| spl2_49
| spl2_166
| spl2_63
| ~ spl2_18 ),
inference(rat,[],[s2718,s943,s2676,s2729,s2370,s2775]) ).
cnf(s2940,plain,
( spl2_231
| spl2_8
| spl2_166
| ~ spl2_22
| spl2_10
| ~ spl2_42
| ~ spl2_12
| ~ spl2_18
| spl2_1 ),
inference(rat,[],[s2715,s873,s2686,s976,s965,s798,s1408,s2511,s2674,s2939,s2215,s2938,s909,s846,s482,s553,s868]) ).
cnf(s2941,plain,
( ~ spl2_187
| spl2_206
| ~ spl2_342
| spl2_258
| ~ spl2_232
| spl2_63
| spl2_17 ),
inference(rat,[],[s2781,s2638,s1389,s807,s850,s799,s2055,s2731,s2302,s782,s2407,s2582,s2817]) ).
cnf(s2942,plain,
( spl2_208
| spl2_258
| ~ spl2_44
| ~ spl2_215
| ~ spl2_232
| spl2_228
| spl2_49
| ~ spl2_9
| spl2_166
| spl2_63
| spl2_17
| spl2_4 ),
inference(rat,[],[s992,s2140,s2711,s755,s2508,s2941,s838,s1306,s2676,s2714,s2817]) ).
cnf(s2943,plain,
( ~ spl2_188
| ~ spl2_253
| spl2_258
| spl2_250
| spl2_24
| spl2_1 ),
inference(rat,[],[s2731,s791,s2711,s754,s765]) ).
cnf(s2944,plain,
( spl2_8
| spl2_166
| ~ spl2_22
| spl2_10
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s872,s2776,s655,s2581,s2943,s1307,s838,s2397,s2942,s963,s2940,s2729,s1979,s2787,s2939,s2215,s765,s2938,s2829,s846,s2672,s12,s2935,s482,s2937,s553,s909,s868]) ).
cnf(s2945,plain,
( ~ spl2_8
| spl2_10
| ~ spl2_42
| ~ spl2_12
| spl2_1 ),
inference(rat,[],[s850,s1326,s2055,s2566,s976,s920,s2730,s2687,s355,s905,s1404,s11,s576,s2587,s6,s2678,s2817]) ).
cnf(s2947,plain,
( spl2_215
| ~ spl2_52
| spl2_63 ),
inference(rat,[],[s2641,s901,s868]) ).
cnf(s2948,plain,
( ~ spl2_166
| spl2_268
| spl2_46
| spl2_49
| spl2_63
| spl2_51
| spl2_17 ),
inference(rat,[],[s2729,s962,s1979,s898,s2787,s2947,s958]) ).
cnf(s2949,plain,
( spl2_10
| ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s2944,s15,s2948,s2922,s2692,s2829,s846,s2672,s2945,s12,s1358,s2935,s482,s553,s967,s2937]) ).
cnf(s2950,plain,
( ~ spl2_18
| spl2_4
| spl2_1 ),
inference(rat,[],[s2676,s2407,s2719,s872,s2302,s2857,s711,s2632,s2638,s9,s462,s536,s2829,s876,s825,s521,s2787,s856,s416,s900,s2215,s943,s1979,s15,s380,s2572,s2581,s365,s23,s844,s2949,s482,s2937,s6,s12,s2935,s553,s868,s2817]) ).
cnf(s2951,plain,
( ~ spl2_250
| ~ spl2_212
| ~ spl2_187
| ~ spl2_242
| spl2_10
| ~ spl2_268
| ~ spl2_382
| ~ spl2_22 ),
inference(rat,[],[s2109,s1960,s798,s934,s2562,s868]) ).
cnf(s2952,plain,
( ~ spl2_17
| ~ spl2_527
| ~ spl2_242
| spl2_166
| spl2_10
| ~ spl2_268
| spl2_42
| ~ spl2_22
| spl2_4 ),
inference(rat,[],[s2566,s2814,s2404,s799,s2799,s2731,s2427,s2773,s2381,s1278,s2138,s2143,s2195,s2951,s2716,s782,s688,s2638,s872,s813,s755,s538,s2140,s2308,s2224,s1776,s909,s2817,s868]) ).
cnf(s2953,plain,
( spl2_257
| ~ spl2_15
| spl2_10
| ~ spl2_268
| ~ spl2_382
| ~ spl2_22 ),
inference(rat,[],[s2109,s1945,s798,s2730,s868]) ).
cnf(s2954,plain,
( spl2_208
| ~ spl2_188
| ~ spl2_250
| ~ spl2_345
| spl2_361
| spl2_63
| ~ spl2_12
| ~ spl2_236
| spl2_211
| spl2_10
| spl2_42
| ~ spl2_220
| ~ spl2_22
| spl2_4 ),
inference(rat,[],[s1192,s2812,s2544,s2799,s1201,s1741,s2797,s1265,s2729,s2428,s2142,s2435,s943,s2649,s2567,s2479,s2113,s1378,s2476,s2114,s2140,s2485,s2123,s755,s680,s48,s2691,s2506,s1776,s2817,s868]) ).
cnf(s2955,plain,
( spl2_228
| ~ spl2_276
| ~ spl2_188
| ~ spl2_250
| ~ spl2_345
| ~ spl2_263
| spl2_63
| ~ spl2_332
| ~ spl2_12
| spl2_10
| spl2_49
| ~ spl2_268
| ~ spl2_22 ),
inference(rat,[],[s933,s943,s1961,s2302,s2113,s2632,s2114,s937,s2123,s2817]) ).
cnf(s2956,plain,
( ~ spl2_186
| spl2_24
| spl2_258
| spl2_63
| spl2_215
| ~ spl2_243
| ~ spl2_12
| spl2_166
| ~ spl2_268
| ~ spl2_22 ),
inference(rat,[],[s791,s2731,s2511,s1968,s2369]) ).
cnf(s2957,plain,
( spl2_24
| ~ spl2_272
| spl2_258
| spl2_215
| ~ spl2_243
| ~ spl2_12
| spl2_166
| spl2_49
| ~ spl2_268
| ~ spl2_382
| ~ spl2_22 ),
inference(rat,[],[s2731,s791,s2722,s2109,s873,s2956,s2128,s2572,s2506,s868]) ).
cnf(s2958,plain,
( ~ spl2_250
| ~ spl2_257
| ~ spl2_345
| spl2_361
| spl2_215
| ~ spl2_243
| ~ spl2_332
| ~ spl2_12
| ~ spl2_242
| ~ spl2_236
| spl2_166
| spl2_10
| ~ spl2_268
| spl2_42
| ~ spl2_220
| ~ spl2_22
| spl2_4 ),
inference(rat,[],[s794,s2957,s943,s2729,s1132,s1130,s1129,s638,s2955,s2165,s2954,s1004,s1985,s1996,s2508,s2562,s48,s2701,s909,s2691,s2128,s2572,s2506,s1776,s2817,s868]) ).
cnf(s2959,plain,
( spl2_8
| spl2_166
| spl2_10
| spl2_42
| spl2_4
| spl2_1 ),
inference(rat,[],[s2370,s2143,s2217,s2195,s2958,s2953,s2675,s2192,s2362,s1068,s1177,s2128,s2060,s2546,s2572,s905,s1141,s1433,s1417,s2506,s1792,s1138,s1431,s1345,s12,s2952,s2063,s717,s2692,s8,s582,s733,s3,s1776,s1740,s2,s353,s1991,s15,s2250,s2950,s2817,s868]) ).
cnf(s2960,plain,
( ~ spl2_8
| spl2_42
| spl2_4
| spl2_1 ),
inference(rat,[],[s2648,s907,s27,s2585,s12,s1404,s11,s2587,s2,s353,s2950,s1984,s48]) ).
cnf(s2961,plain,
( spl2_10
| spl2_42
| spl2_4
| spl2_1 ),
inference(rat,[],[s2224,s2715,s12,s873,s2506,s900,s1960,s2546,s956,s960,s2063,s2959,s1776,s1740,s48,s1991,s15,s2250,s8,s2,s717,s2960,s3,s353,s2950,s2817,s868]) ).
cnf(s2962,plain,
( ~ spl2_235
| spl2_166
| ~ spl2_382
| ~ spl2_22 ),
inference(rat,[],[s2195,s2143,s856,s2582]) ).
cnf(s2963,plain,
( spl2_166
| ~ spl2_10
| ~ spl2_242
| ~ spl2_236
| ~ spl2_268
| spl2_42
| ~ spl2_7
| spl2_18 ),
inference(rat,[],[s2799,s2797,s2147,s2428,s2655,s1310,s2195,s2650,s638,s2143,s2093,s1129,s1278,s838,s2289,s825,s2962,s2701,s909,s15,s2250,s1776]) ).
cnf(s2964,plain,
( spl2_42
| spl2_4
| spl2_1 ),
inference(rat,[],[s2814,s2199,s850,s2715,s2055,s873,s900,s1960,s2546,s947,s956,s960,s2963,s2961,s717,s2692,s2960,s48,s1740,s3,s2,s353,s2950,s2817,s868]) ).
cnf(s2965,plain,
( ~ spl2_257
| ~ spl2_427
| ~ spl2_17
| ~ spl2_42
| spl2_4 ),
inference(rat,[],[s2137,s2630,s2221,s976,s2817]) ).
cnf(s2966,plain,
( ~ spl2_17
| spl2_166
| spl2_10
| spl2_4
| spl2_1 ),
inference(rat,[],[s838,s1310,s1304,s666,s2581,s2916,s2730,s2965,s2435,s765,s2914,s2910,s1198,s1069,s2729,s898,s1357,s2684,s2787,s482,s1172,s900,s2650,s881,s903,s2446,s1492,s1337,s703,s2786,s919,s582,s733,s3,s353,s2950,s2678,s2964,s909,s868]) ).
cnf(s2968,plain,
( ~ spl2_186
| ~ spl2_268
| ~ spl2_332
| spl2_10
| ~ spl2_42 ),
inference(rat,[],[s2730,s1961,s976]) ).
cnf(s2969,plain,
( ~ spl2_272
| spl2_24
| ~ spl2_263
| spl2_186
| ~ spl2_250
| ~ spl2_12
| spl2_166
| ~ spl2_45
| spl2_10
| ~ spl2_22
| spl2_1 ),
inference(rat,[],[s2716,s791,s2638,s2510,s2141,s1950,s2739,s2675,s2566,s2188,s920,s934,s2114,s2717,s2722,s2113,s909,s768,s941,s873,s850,s2055,s2817,s868]) ).
cnf(s2970,plain,
( ~ spl2_345
| ~ spl2_251
| ~ spl2_262
| spl2_65
| ~ spl2_45 ),
inference(rat,[],[s1950,s2503]) ).
cnf(s2971,plain,
( spl2_257
| ~ spl2_185
| ~ spl2_44
| spl2_29
| spl2_65
| ~ spl2_236
| spl2_350
| ~ spl2_250
| ~ spl2_332
| ~ spl2_12
| spl2_166
| ~ spl2_45
| spl2_10
| ~ spl2_22
| spl2_1 ),
inference(rat,[],[s2479,s2476,s2435,s2483,s1165,s1383,s2675,s2970,s2794,s1130,s838,s1307,s799,s680,s934,s935,s666,s2716,s2781,s2793,s2199,s652,s1388,s2511,s2492,s1408,s798,s2730,s909,s2817]) ).
cnf(s2972,plain,
( ~ spl2_162
| spl2_29
| spl2_63
| spl2_65
| ~ spl2_181
| ~ spl2_425
| spl2_334
| ~ spl2_236
| spl2_350
| ~ spl2_250
| ~ spl2_332
| ~ spl2_12
| spl2_166
| ~ spl2_242
| ~ spl2_45
| spl2_10
| ~ spl2_22
| spl2_1 ),
inference(rat,[],[s1130,s1129,s638,s2142,s2508,s2562,s2971,s2638,s1368,s2676,s2800,s2729,s1406,s909,s768,s1354,s2817]) ).
cnf(s2973,plain,
( spl2_215
| spl2_63
| ~ spl2_236
| ~ spl2_268
| ~ spl2_250
| ~ spl2_332
| spl2_166
| ~ spl2_242
| spl2_10
| spl2_4
| spl2_1 ),
inference(rat,[],[s796,s2969,s2093,s943,s2972,s2691,s581,s901,s2585,s15,s2250,s3,s353,s2950,s12,s2966,s1175,s897,s1007,s2413,s769,s2678,s2701,s909,s2630,s873,s850,s2055,s2968,s2964,s58,s868,s2817]) ).
cnf(s2974,plain,
( spl2_63
| ~ spl2_236
| ~ spl2_268
| ~ spl2_250
| ~ spl2_332
| spl2_166
| ~ spl2_242
| spl2_10
| spl2_4
| spl2_1 ),
inference(rat,[],[s2687,s581,s1326,s2972,s2199,s1979,s2715,s2787,s905,s2973,s15,s2250,s2950,s12,s2966,s768,s1175,s897,s1007,s2413,s769,s2678,s2701,s909,s2630,s873,s850,s2055,s2968,s2964,s2817,s868]) ).
cnf(s2975,plain,
( ~ spl2_268
| ~ spl2_250
| spl2_166
| spl2_8
| spl2_10
| spl2_4
| spl2_1 ),
inference(rat,[],[s462,s795,s2128,s482,s2974,s873,s2968,s2692,s2964,s717,s3,s1433,s1431,s12,s2966,s353,s2950,s868]) ).
cnf(s2976,plain,
( ~ spl2_186
| ~ spl2_266
| spl2_63
| spl2_10
| ~ spl2_42
| ~ spl2_6 ),
inference(rat,[],[s2730,s1854,s976,s2302]) ).
cnf(s2977,plain,
( ~ spl2_185
| spl2_191
| spl2_65
| spl2_268
| ~ spl2_276
| ~ spl2_250
| spl2_18 ),
inference(rat,[],[s2654,s680,s666,s935,s2781,s661,s1390,s799,s934,s2716]) ).
cnf(s2978,plain,
( spl2_215
| spl2_63
| spl2_268
| ~ spl2_250
| spl2_166
| spl2_10
| ~ spl2_42
| spl2_18
| spl2_4 ),
inference(rat,[],[s2370,s666,s2676,s2654,s1368,s637,s2633,s2977,s652,s850,s2137,s2055,s873,s2630,s2976,s581,s901,s2585,s2,s353,s768,s1354,s2678,s1492,s868,s2817]) ).
cnf(s2979,plain,
( ~ spl2_345
| ~ spl2_188
| ~ spl2_255
| spl2_228
| spl2_65
| ~ spl2_251 ),
inference(rat,[],[s2476,s2480,s2485,s2491,s2817]) ).
cnf(s2980,plain,
( ~ spl2_186
| spl2_210
| ~ spl2_162
| ~ spl2_271
| spl2_63
| spl2_268
| spl2_350
| spl2_361
| ~ spl2_276
| ~ spl2_225
| ~ spl2_332
| spl2_51
| ~ spl2_12
| spl2_166
| ~ spl2_15
| spl2_10
| ~ spl2_42
| ~ spl2_7
| spl2_18 ),
inference(rat,[],[s2435,s1779,s1165,s1383,s2675,s2979,s2508,s2776,s2409,s2654,s807,s637,s2633,s2793,s2781,s697,s1977,s581,s1069,s2687,s894,s1390,s2511,s2492,s1998,s799,s798,s933,s913,s976,s2302,s15,s2250,s909,s2729,s2817,s868]) ).
cnf(s2981,plain,
( spl2_63
| spl2_268
| ~ spl2_250
| ~ spl2_332
| spl2_51
| spl2_17
| spl2_166
| ~ spl2_15
| spl2_10
| ~ spl2_42
| spl2_18
| spl2_4 ),
inference(rat,[],[s185,s519,s652,s2977,s2638,s850,s1368,s2137,s2055,s873,s2630,s2980,s2676,s2800,s2428,s1406,s2649,s1979,s907,s2787,s2978,s733,s3,s353,s12,s768,s1354,s1198,s1175,s897,s1007,s2413,s769,s909,s2678,s1492,s2817,s868]) ).
cnf(s2982,plain,
( ~ spl2_250
| spl2_166
| spl2_8
| spl2_10
| spl2_4
| spl2_1 ),
inference(rat,[],[s2585,s581,s907,s2130,s2649,s2650,s482,s2981,s2975,s768,s3,s2678,s2964,s8,s2,s1358,s1433,s1431,s12,s2966,s353,s2950]) ).
cnf(s2983,plain,
( ~ spl2_345
| spl2_229
| spl2_210
| ~ spl2_253
| ~ spl2_398
| ~ spl2_262
| spl2_350
| spl2_65
| spl2_228
| ~ spl2_45 ),
inference(rat,[],[s2476,s2779,s2767,s2464,s1950,s2817]) ).
cnf(s2984,plain,
( spl2_249
| ~ spl2_185
| spl2_24
| spl2_350
| spl2_167
| ~ spl2_232
| spl2_228
| spl2_17
| spl2_166
| ~ spl2_45
| spl2_10
| ~ spl2_7
| spl2_18 ),
inference(rat,[],[s2779,s2476,s1185,s2768,s2435,s2182,s2181,s2675,s2983,s1310,s716,s838,s2773,s2731,s799,s2735,s1389,s2566,s2781,s920,s791,s763,s2726,s12,s733,s2581,s850,s2817]) ).
cnf(s2985,plain,
( spl2_49
| ~ spl2_343
| spl2_350
| spl2_186
| spl2_250
| spl2_166
| spl2_10
| spl2_4
| spl2_1 ),
inference(rat,[],[s2776,s1310,s716,s838,s2773,s2731,s799,s1389,s2781,s652,s872,s2511,s2492,s754,s2984,s2638,s2649,s1368,s2718,s3,s353,s2678,s2964,s765,s2581,s2215,s12,s2966,s15,s2250,s2950,s873,s850,s2055,s868,s2817]) ).
cnf(s2986,plain,
( ~ spl2_49
| ~ spl2_236
| ~ spl2_28
| ~ spl2_27
| ~ spl2_12
| spl2_166
| ~ spl2_42
| ~ spl2_22 ),
inference(rat,[],[s792,s795,s2492,s748,s2822,s2821]) ).
cnf(s2987,plain,
( ~ spl2_268
| spl2_166
| spl2_8
| spl2_10
| spl2_4
| spl2_1 ),
inference(rat,[],[s943,s2729,s907,s1281,s2370,s1278,s2676,s2985,s1175,s936,s2986,s873,s2128,s2968,s2692,s2678,s2964,s717,s3,s1139,s1138,s1433,s1431,s353,s2581,s2215,s2982,s12,s2966,s15,s2250,s2950,s868]) ).
cnf(s2988,plain,
( spl2_257
| spl2_250
| ~ spl2_12
| spl2_166
| spl2_10
| ~ spl2_22
| spl2_1 ),
inference(rat,[],[s2781,s652,s2638,s1388,s2492,s816,s1408,s798,s2730,s2581,s2215,s2817]) ).
cnf(s2989,plain,
( ~ spl2_251
| spl2_191
| spl2_65
| ~ spl2_232
| spl2_250
| spl2_18 ),
inference(rat,[],[s2781,s2638,s1390,s815,s2817]) ).
cnf(s2990,plain,
( spl2_206
| ~ spl2_351
| spl2_281
| spl2_29
| spl2_228
| ~ spl2_7
| spl2_18 ),
inference(rat,[],[s2476,s2779,s2767,s1310,s716,s838,s2817]) ).
cnf(s2991,plain,
( spl2_166
| spl2_8
| spl2_10
| spl2_4
| spl2_1 ),
inference(rat,[],[s907,s943,s2370,s2729,s482,s1306,s795,s2990,s1185,s1950,s2675,s2566,s1164,s2697,s2731,s932,s799,s2989,s2676,s652,s2985,s850,s2137,s1175,s2055,s2630,s897,s976,s1008,s2988,s2446,s1492,s2690,s2987,s2581,s2215,s765,s2982,s1418,s2726,s1139,s12,s2966,s733,s15,s2250,s3,s353,s2950,s2678,s2964,s2817,s868]) ).
cnf(s2992,plain,
( ~ spl2_186
| ~ spl2_250
| ~ spl2_166
| ~ spl2_242
| spl2_10
| ~ spl2_42
| spl2_18
| spl2_4 ),
inference(rat,[],[s2140,s813,s927,s2633,s661,s2977,s1390,s1998,s948,s2730,s1960,s976,s960,s947,s697,s956,s3,s380,s2,s353,s1354,s2678,s868]) ).
cnf(s2993,plain,
( ~ spl2_181
| spl2_49
| spl2_170
| ~ spl2_166
| ~ spl2_42 ),
inference(rat,[],[s962,s2729,s482,s943,s2649,s2722,s936]) ).
cnf(s2994,plain,
( spl2_8
| spl2_10
| spl2_4
| spl2_1 ),
inference(rat,[],[s2786,s881,s12,s955,s2215,s661,s2989,s1390,s1998,s2730,s2992,s976,s2632,s2993,s697,s606,s380,s947,s956,s2991,s717,s15,s2250,s3,s2,s353,s2950,s2678,s2964,s2817]) ).
cnf(s2995,plain,
( spl2_10
| spl2_4
| spl2_1 ),
inference(rat,[],[s2650,s1337,s27,s12,s2945,s2994,s2678,s3,s353,s2950,s2964]) ).
cnf(s2996,plain,
( spl2_49
| spl2_206
| spl2_166
| spl2_162
| ~ spl2_7
| spl2_18 ),
inference(rat,[],[s2800,s2130,s1283,s581,s2676,s901,s2585,s2719,s907,s943,s868]) ).
cnf(s2997,plain,
( spl2_206
| spl2_8
| spl2_166
| spl2_162
| ~ spl2_7
| spl2_18 ),
inference(rat,[],[s689,s744,s2996,s2289]) ).
cnf(s2998,plain,
( spl2_8
| spl2_166
| spl2_4
| spl2_1 ),
inference(rat,[],[s2093,s792,s689,s2690,s816,s2718,s2633,s2676,s688,s856,s2582,s825,s794,s2997,s717,s3,s353,s2950,s943,s365,s2995,s2964,s868]) ).
cnf(s2999,plain,
( ~ spl2_191
| ~ spl2_8
| spl2_4
| spl2_1 ),
inference(rat,[],[s11,s12,s518,s27,s795,s710,s2848,s2964,s10,s2,s353,s2950]) ).
cnf(s3000,plain,
( ~ spl2_8
| spl2_4
| spl2_1 ),
inference(rat,[],[s11,s12,s857,s27,s825,s794,s531,s2633,s2857,s2999,s2790,s907,s10,s576,s2,s353,s943,s1983,s365,s2995,s2964,s2950,s868]) ).
cnf(s3001,plain,
( spl2_49
| spl2_63
| ~ spl2_166
| ~ spl2_272
| ~ spl2_42
| ~ spl2_7
| spl2_18 ),
inference(rat,[],[s1869,s2302,s901,s2632,s907,s2993,s956,s868,s2817]) ).
cnf(s3002,plain,
( spl2_4
| spl2_1 ),
inference(rat,[],[s1390,s538,s2505,s2821,s2867,s689,s2690,s3001,s697,s2130,s380,s947,s956,s2998,s3000,s943,s365,s2995,s2964,s2,s3,s353,s2950]) ).
cnf(s3004,plain,
( spl2_250
| ~ spl2_191
| ~ spl2_249
| spl2_1 ),
inference(rat,[],[s782,s688,s872,s2638,s754,s816,s868,s2817]) ).
cnf(s3005,plain,
( spl2_10
| spl2_166
| spl2_1 ),
inference(rat,[],[s1356,s680,s666,s1069,s2304,s883,s886,s2413,s3004,s1384,s2675,s2510,s763,s2294,s2393,s881,s5,s2667,s818,s678,s1208,s2378,s3002]) ).
cnf(s3006,plain,
( ~ spl2_186
| spl2_42
| ~ spl2_10
| spl2_166
| ~ spl2_4 ),
inference(rat,[],[s2776,s872,s655,s1996,s680,s2814,s2466,s2655,s2566,s2489,s2677,s799,s2388,s2134,s2127,s824,s2369,s2386,s677,s661,s353,s838,s825,s2962,s1776,s15,s2250,s844,s581,s2687,s2667,s868,s2817]) ).
cnf(s3007,plain,
( spl2_42
| ~ spl2_10
| spl2_166
| ~ spl2_4 ),
inference(rat,[],[s2368,s791,s871,s2649,s2814,s2722,s799,s824,s2651,s763,s850,s2109,s2055,s873,s3006,s48,s1776,s901,s677,s15,s2250,s844,s581,s2687,s2667,s868,s2817]) ).
cnf(s3008,plain,
( spl2_49
| spl2_229
| spl2_206
| spl2_235
| spl2_162
| ~ spl2_42
| spl2_166
| ~ spl2_4 ),
inference(rat,[],[s1996,s2811,s2508,s2566,s2776,s2388,s655,s2386,s680,s2632,s2636,s2722,s799,s2677,s795,s2127,s482,s2370,s2676,s2719,s677,s661,s581,s2687,s2667,s943,s838,s666,s2817]) ).
cnf(s3009,plain,
( ~ spl2_250
| spl2_8
| ~ spl2_10
| spl2_166
| ~ spl2_4 ),
inference(rat,[],[s2711,s795,s2508,s680,s2428,s782,s776,s832,s2823,s689,s715,s3008,s666,s2466,s2497,s2559,s2997,s838,s825,s856,s661,s353,s844,s581,s2687,s2667,s365,s3007,s2817]) ).
cnf(s3010,plain,
( spl2_49
| spl2_250
| ~ spl2_10
| spl2_166
| ~ spl2_4 ),
inference(rat,[],[s1310,s3008,s838,s825,s2582,s2676,s2718,s844,s581,s2687,s2667,s943,s365,s3007,s765]) ).
cnf(s3011,plain,
( spl2_8
| spl2_166
| spl2_1 ),
inference(rat,[],[s782,s688,s872,s2638,s2711,s815,s838,s799,s794,s795,s791,s538,s3004,s2821,s2823,s689,s715,s3010,s765,s3009,s661,s2667,s3002,s3005,s868,s2817]) ).
cnf(s3012,plain,
( spl2_166
| spl2_1 ),
inference(rat,[],[s576,s3011,s3007,s3005,s677,s3002]) ).
cnf(s3013,plain,
spl2_1,
inference(rat,[],[s365,s2811,s2814,s538,s2566,s799,s927,s2388,s824,s874,s2786,s630,s2624,s881,s2668,s872,s955,s953,s3012,s581,s901,s661,s2687,s677,s818,s2667,s3002,s2817,s868]) ).
cnf(s3014,plain,
spl2_71,
inference(rat,[],[s192,s3013]) ).
cnf(s3015,plain,
~ spl2_24,
inference(rat,[],[s2892,s3013]) ).
cnf(s3016,plain,
spl2_36,
inference(rat,[],[s2893,s3013]) ).
cnf(s3017,plain,
spl2_21,
inference(rat,[],[s24,s3013]) ).
cnf(s3018,plain,
spl2_354,
inference(rat,[],[s2374,s3014]) ).
cnf(s3019,plain,
spl2_18,
inference(rat,[],[s733,s3014]) ).
cnf(s3021,plain,
spl2_206,
inference(rat,[],[s2269,s3017]) ).
cnf(s3022,plain,
spl2_162,
inference(rat,[],[s590,s3017]) ).
cnf(s3023,plain,
spl2_170,
inference(rat,[],[s589,s3017]) ).
cnf(s3025,plain,
( ~ spl2_186
| spl2_65
| ~ spl2_237 ),
inference(rat,[],[s2572,s888,s2128,s1326,s2774,s2566,s2388,s2729,s593,s1402,s2386,s868,s2817,s3022,s3017]) ).
cnf(s3026,plain,
( spl2_191
| spl2_65
| ~ spl2_229
| spl2_212 ),
inference(rat,[],[s2490,s2256,s2633,s2731,s2716,s3017,s868,s3023]) ).
cnf(s3027,plain,
( spl2_29
| ~ spl2_250
| spl2_49
| spl2_4 ),
inference(rat,[],[s2128,s2729,s1491,s2775,s2137,s2715,s652,s2630,s873,s3025,s3026,s1996,s2508,s2563,s2409,s2428,s1403,s690,s2922,s934,s3022,s3019,s3023,s3017,s2817,s3021,s3015,s868]) ).
cnf(s3028,plain,
( ~ spl2_250
| spl2_49
| spl2_211
| spl2_4 ),
inference(rat,[],[s2729,s2388,s1130,s871,s2652,s638,s1326,s2715,s650,s2687,s888,s900,s581,s2572,s3027,s873,s3025,s1996,s2508,s2563,s2409,s2428,s690,s2922,s3022,s3021,s868,s2817,s3023,s3015,s3017]) ).
cnf(s3029,plain,
( ~ spl2_44
| spl2_29
| spl2_264
| spl2_46 ),
inference(rat,[],[s2568,s2339,s2253,s1195,s1196,s2787,s2790,s1179,s1199,s2775,s3018,s3017,s3022,s3019]) ).
cnf(s3030,plain,
( spl2_29
| spl2_264
| spl2_65
| spl2_46
| spl2_4 ),
inference(rat,[],[s2566,s2774,s2388,s1398,s2652,s2137,s1492,s2128,s2729,s3029,s2630,s3025,s690,s2922,s2817,s868,s3022,s3017]) ).
cnf(s3031,plain,
( spl2_65
| spl2_228
| spl2_49
| spl2_46
| spl2_4 ),
inference(rat,[],[s2731,s782,s2773,s688,s2638,s872,s649,s650,s581,s3030,s936,s873,s3025,s690,s2922,s3023,s3021,s2817,s868,s3017]) ).
cnf(s3032,plain,
( ~ spl2_374
| spl2_208
| spl2_268
| spl2_52
| spl2_357
| spl2_228
| spl2_166
| spl2_4 ),
inference(rat,[],[s2613,s2476,s2653,s2617,s2477,s2362,s2601,s2608,s1066,s685,s666,s2620,s2654,s2677,s2381,s2672,s690,s2922,s2817,s3017,s3019]) ).
cnf(s3033,plain,
( spl2_29
| spl2_357
| ~ spl2_210
| ~ spl2_63
| spl2_49
| spl2_166
| spl2_4 ),
inference(rat,[],[s2714,s2676,s900,s2427,s2588,s3032,s655,s2128,s2624,s2672,s2922,s765,s3028,s909,s3019,s3017]) ).
cnf(s3034,plain,
( spl2_42
| spl2_10
| spl2_166
| spl2_4 ),
inference(rat,[],[s2477,s2614,s2608,s2127,s2677,s1376,s1208,s888,s666,s2571,s2572,s2581,s3033,s1201,s2409,s1265,s2563,s1217,s2729,s872,s2673,s2730,s194,s1996,s1997,s1998,s3031,s765,s3028,s48,s2445,s909,s2817,s868,s3021,s3023,s3022,s3017]) ).
cnf(s3035,plain,
( spl2_49
| spl2_228
| ~ spl2_42
| spl2_4 ),
inference(rat,[],[s2508,s650,s782,s1074,s1077,s2580,s2820,s317,s2715,s2714,s3031,s576,s2672,s2922,s194,s1306,s877,s54,s2817,s3023,s3014,s3017,s3015,s3021,s3019]) ).
cnf(s3036,plain,
( spl2_29
| ~ spl2_42
| spl2_211
| spl2_4 ),
inference(rat,[],[s688,s782,s2638,s872,s813,s755,s2140,s654,s2840,s49,s2819,s3035,s638,s1130,s54,s2817,s868,s3017,s3023,s3021,s3015]) ).
cnf(s3037,plain,
( ~ spl2_42
| spl2_211
| spl2_4 ),
inference(rat,[],[s688,s782,s2638,s872,s649,s650,s581,s3036,s2819,s3035,s638,s1130,s194,s54,s2817,s868,s3023,s3021,s3017,s3015]) ).
cnf(s3038,plain,
( spl2_166
| spl2_4 ),
inference(rat,[],[s2714,s2676,s900,s2580,s2582,s2572,s825,s844,s3034,s48,s3037,s909,s3021,s3019]) ).
cnf(s3039,plain,
( spl2_29
| spl2_42
| spl2_4 ),
inference(rat,[],[s3031,s538,s765,s652,s3027,s2731,s946,s3038,s2922,s2445,s48,s3023,s3017]) ).
cnf(s3040,plain,
( ~ spl2_29
| spl2_4 ),
inference(rat,[],[s610,s378,s614,s521,s2731,s946,s3038,s2922,s3015,s3023,s3017]) ).
cnf(s3041,plain,
spl2_4,
inference(rat,[],[s606,s1357,s2678,s576,s958,s3039,s2624,s844,s3040,s3038,s2672,s2922,s3019,s3017]) ).
cnf(s3042,plain,
~ spl2_230,
inference(rat,[],[s2667,s3041]) ).
cnf(s3044,plain,
spl2_17,
inference(rat,[],[s818,s3041]) ).
cnf(s3046,plain,
~ spl2_215,
inference(rat,[],[s677,s3041]) ).
cnf(s3048,plain,
~ spl2_218,
inference(rat,[],[s2687,s3042]) ).
cnf(s3049,plain,
spl2_231,
inference(rat,[],[s661,s3042]) ).
cnf(s3051,plain,
spl2_191,
inference(rat,[],[s2247,s3023,s3044,s3042]) ).
cnf(s3056,plain,
~ spl2_8,
inference(rat,[],[s27,s3015,s3044]) ).
cnf(s3057,plain,
spl2_151,
inference(rat,[],[s2346,s3016,s3044]) ).
cnf(s3063,plain,
spl2_63,
inference(rat,[],[s2680,s3044,s3022,s3046]) ).
cnf(s3064,plain,
~ spl2_29,
inference(rat,[],[s581,s3048]) ).
cnf(s3069,plain,
spl2_9,
inference(rat,[],[s2672,s3019,s3056]) ).
cnf(s3070,plain,
~ spl2_208,
inference(rat,[],[s2348,s3057]) ).
cnf(s3077,plain,
~ spl2_10,
inference(rat,[],[s844,s3019,s3064]) ).
cnf(s3078,plain,
~ spl2_159,
inference(rat,[],[s652,s3051,s3064]) ).
cnf(s3082,plain,
~ spl2_49,
inference(rat,[],[s709,s3022,s3069]) ).
cnf(s3083,plain,
~ spl2_228,
inference(rat,[],[s680,s3070]) ).
cnf(s3093,plain,
spl2_11,
inference(rat,[],[s5,s3041,s3077]) ).
cnf(s3096,plain,
~ spl2_65,
inference(rat,[],[s538,s3078]) ).
cnf(s3098,plain,
~ spl2_52,
inference(rat,[],[s881,s3044,s3093]) ).
cnf(s3103,plain,
~ spl2_166,
inference(rat,[],[s955,s3049,s3098]) ).
cnf(s3109,plain,
spl2_425,
inference(rat,[],[s2388,s2386,s2567,s2630,s3063,s2817]) ).
cnf(s3110,plain,
spl2_235,
inference(rat,[],[s2142,s2508,s2677,s782,s2127,s3109,s3083,s2817,s3103,s3051,s3063]) ).
cnf(s3112,plain,
~ spl2_342,
inference(rat,[],[s2582,s3110]) ).
cnf(s3113,plain,
~ spl2_185,
inference(rat,[],[s688,s3110]) ).
cnf(s3115,plain,
spl2_343,
inference(rat,[],[s2676,s3103,s3112]) ).
cnf(s3116,plain,
spl2_184,
inference(rat,[],[s2633,s868,s3113]) ).
cnf(s3129,plain,
~ spl2_262,
inference(rat,[],[s1412,s3115,s3096,s3116]) ).
cnf(s3130,plain,
~ spl2_181,
inference(rat,[],[s1368,s3115,s3082,s3116]) ).
cnf(s3136,plain,
spl2_261,
inference(rat,[],[s871,s868,s3129]) ).
cnf(s3137,plain,
spl2_186,
inference(rat,[],[s2632,s2817,s3130]) ).
cnf(s3143,plain,
spl2_221,
inference(rat,[],[s2388,s3063,s3136]) ).
cnf(s3147,plain,
$false,
inference(rat,[],[s2386,s3143,s3137]) ).
thf(f31958,plain,
$false,
inference(avatar_sat_refutation,[],[s3147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA106^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n001.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:05:06 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % (1674051)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.35 % (1674062)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.35 % (1674062)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
% 0.20/0.35 % (1674062)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=270282601:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.35 % (1674059)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=3140588047: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)
% 0.20/0.35 % (1674056)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1724630287:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.35 % (1674057)lrs+10_16_si=on:nwc=1.5:random_seed=1192231644:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.35 % (1674060)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1277798075:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.35 % (1674058)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=698492322:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.35 % (1674058)Instruction limit reached!
% 0.20/0.35 % (1674058)------------------------------
% 0.20/0.35 % (1674058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (1674058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (1674058)CaDiCaL version: 2.1.3
% 0.20/0.35 % (1674058)Termination reason: Instruction limit
% 0.20/0.35 % (1674058)Termination phase: Saturation
% 0.20/0.35 % (1674058)Time elapsed: 0.002 s
% 0.20/0.35 % (1674058)Peak memory usage: 12 MB
% 0.20/0.35 % (1674058)Instructions burned: 3 (million)
% 0.20/0.35 % (1674057)Instruction limit reached!
% 0.20/0.35 % (1674057)------------------------------
% 0.20/0.35 % (1674057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (1674057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (1674057)CaDiCaL version: 2.1.3
% 0.20/0.35 % (1674057)Termination reason: Instruction limit
% 0.20/0.35 % (1674057)Termination phase: Saturation
% 0.20/0.35 % (1674057)Time elapsed: 0.010 s
% 0.20/0.35 % (1674057)Peak memory usage: 12 MB
% 0.20/0.35 % (1674057)Instructions burned: 19 (million)
% 0.20/0.35 % (1674061)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2867661429:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.35 % (1674060)Instruction limit reached!
% 0.20/0.35 % (1674060)------------------------------
% 0.20/0.35 % (1674060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (1674060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (1674060)CaDiCaL version: 2.1.3
% 0.20/0.35 % (1674060)Termination reason: Instruction limit
% 0.20/0.35 % (1674060)Termination phase: Saturation
% 0.20/0.35 % (1674060)Time elapsed: 0.014 s
% 0.20/0.35 % (1674060)Peak memory usage: 12 MB
% 0.20/0.35 % (1674060)Instructions burned: 25 (million)
% 0.20/0.35 % (1674069)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1512265573:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.35 % (1674071)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1709525258:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.35 % (1674062)Instruction limit reached!
% 0.20/0.35 % (1674062)------------------------------
% 0.20/0.35 % (1674062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (1674062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (1674062)CaDiCaL version: 2.1.3
% 0.20/0.35 % (1674062)Termination reason: Instruction limit
% 0.20/0.35 % (1674062)Termination phase: Saturation
% 0.20/0.35 % (1674062)Time elapsed: 0.034 s
% 0.20/0.35 % (1674062)Peak memory usage: 12 MB
% 0.20/0.35 % (1674072)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.38 % (1674062)Instructions burned: 163 (million)
% 0.20/0.38 % (1674069)Instruction limit reached!
% 0.20/0.38 % (1674069)------------------------------
% 0.20/0.38 % (1674069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (1674069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (1674069)CaDiCaL version: 2.1.3
% 0.20/0.38 % (1674069)Termination reason: Instruction limit
% 0.20/0.38 % (1674069)Termination phase: Saturation
% 0.20/0.38 % (1674069)Time elapsed: 0.003 s
% 0.20/0.38 % (1674069)Peak memory usage: 12 MB
% 0.20/0.38 % (1674069)Instructions burned: 4 (million)
% 0.20/0.38 % (1674071)Instruction limit reached!
% 0.20/0.38 % (1674071)------------------------------
% 0.20/0.38 % (1674071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (1674071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (1674071)CaDiCaL version: 2.1.3
% 0.20/0.38 % (1674071)Termination reason: Instruction limit
% 0.20/0.38 % (1674071)Termination phase: Saturation
% 0.20/0.38 % (1674071)Time elapsed: 0.004 s
% 0.20/0.38 % (1674071)Peak memory usage: 12 MB
% 0.20/0.38 % (1674071)Instructions burned: 5 (million)
% 0.20/0.38 % (1674056)Instruction limit reached!
% 0.20/0.38 % (1674056)------------------------------
% 0.20/0.38 % (1674056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (1674056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (1674056)CaDiCaL version: 2.1.3
% 0.20/0.38 % (1674056)Termination reason: Instruction limit
% 0.20/0.38 % (1674056)Termination phase: Saturation
% 0.20/0.38 % (1674056)Time elapsed: 0.035 s
% 0.20/0.38 % (1674056)Peak memory usage: 12 MB
% 0.20/0.38 % (1674056)Instructions burned: 90 (million)
% 0.20/0.38 % (1674072)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1654235948:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.38 % (1674075)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=296212997:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.38 % (1674075)Instruction limit reached!
% 0.20/0.38 % (1674075)------------------------------
% 0.20/0.38 % (1674075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (1674075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (1674075)CaDiCaL version: 2.1.3
% 0.20/0.38 % (1674075)Termination reason: Instruction limit
% 0.20/0.38 % (1674075)Termination phase: Saturation
% 0.20/0.38 % (1674075)Time elapsed: 0.004 s
% 0.20/0.38 % (1674075)Peak memory usage: 12 MB
% 0.20/0.38 % (1674075)Instructions burned: 13 (million)
% 0.20/0.38 % (1674072)Instruction limit reached!
% 0.20/0.38 % (1674072)------------------------------
% 0.20/0.38 % (1674072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (1674072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (1674072)CaDiCaL version: 2.1.3
% 0.20/0.38 % (1674072)Termination reason: Instruction limit
% 0.20/0.38 % (1674072)Termination phase: Saturation
% 0.20/0.38 % (1674072)Time elapsed: 0.008 s
% 0.20/0.38 % (1674072)Peak memory usage: 12 MB
% 0.20/0.38 % (1674072)Instructions burned: 8 (million)
% 0.20/0.38 % (1674061)Instruction limit reached!
% 0.20/0.38 % (1674061)------------------------------
% 0.20/0.38 % (1674061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.38 % (1674061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.38 % (1674061)CaDiCaL version: 2.1.3
% 0.20/0.38 % (1674061)Termination reason: Instruction limit
% 0.20/0.38 % (1674061)Termination phase: Saturation
% 0.20/0.38 % (1674061)Time elapsed: 0.039 s
% 0.20/0.38 % (1674061)Peak memory usage: 12 MB
% 0.20/0.38 % (1674061)Instructions burned: 82 (million)
% 0.20/0.38 % (1674076)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
% 0.20/0.38 % (1674076)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.38 % (1674078)lrs+10_1_si=on:cs=on:random_seed=2794206660:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.97/0.41 % (1674081)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.97/0.41 % (1674081)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=1758487512:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.97/0.41 % (1674077)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=3310918262:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.97/0.41 % (1674076)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4203507222:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.97/0.41 % (1674081)Instruction limit reached!
% 0.97/0.41 % (1674081)------------------------------
% 0.97/0.41 % (1674081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.41 % (1674081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.41 % (1674081)CaDiCaL version: 2.1.3
% 0.97/0.41 % (1674081)Termination reason: Instruction limit
% 0.97/0.41 % (1674081)Termination phase: Saturation
% 0.97/0.41 % (1674081)Time elapsed: 0.001 s
% 0.97/0.41 % (1674081)Peak memory usage: 11 MB
% 0.97/0.41 % (1674081)Instructions burned: 6 (million)
% 0.97/0.41 % (1674078)Instruction limit reached!
% 0.97/0.41 % (1674078)------------------------------
% 0.97/0.41 % (1674078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.41 % (1674078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.41 % (1674078)CaDiCaL version: 2.1.3
% 0.97/0.41 % (1674078)Termination reason: Instruction limit
% 0.97/0.41 % (1674078)Termination phase: Saturation
% 0.97/0.41 % (1674078)Time elapsed: 0.005 s
% 0.97/0.41 % (1674078)Peak memory usage: 12 MB
% 0.97/0.41 % (1674078)Instructions burned: 9 (million)
% 0.97/0.41 % (1674082)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1966791463:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.97/0.41 % (1674082)Refutation not found, incomplete strategy
% 0.97/0.41 % (1674082)------------------------------
% 0.97/0.41 % (1674082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.41 % (1674082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.41 % (1674082)CaDiCaL version: 2.1.3
% 0.97/0.41 % (1674082)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.41 % (1674082)Time elapsed: 0.001 s
% 0.97/0.41 % (1674082)Peak memory usage: 11 MB
% 0.97/0.41 % (1674082)------------------------------
% 0.97/0.41 % (1674082)------------------------------
% 0.97/0.41 % (1674088)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4103748793:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.97/0.41 % (1674083)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=457985442:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.97/0.41 % (1674088)Refutation not found, incomplete strategy
% 0.97/0.41 % (1674088)------------------------------
% 0.97/0.41 % (1674088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.41 % (1674088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.41 % (1674088)CaDiCaL version: 2.1.3
% 0.97/0.41 % (1674088)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.41 % (1674088)Time elapsed: 0.0000 s
% 0.97/0.41 % (1674088)Peak memory usage: 11 MB
% 0.97/0.41 % (1674088)------------------------------
% 0.97/0.41 % (1674088)------------------------------
% 0.97/0.41 % (1674083)Refutation not found, incomplete strategy
% 0.97/0.41 % (1674083)------------------------------
% 0.97/0.41 % (1674083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.41 % (1674083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.41 % (1674083)CaDiCaL version: 2.1.3
% 0.97/0.41 % (1674083)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.41 % (1674083)Time elapsed: 0.001 s
% 0.97/0.41 % (1674083)Peak memory usage: 11 MB
% 0.97/0.41 % (1674083)------------------------------
% 0.97/0.41 % (1674083)------------------------------
% 0.97/0.44 % (1674076)Instruction limit reached!
% 0.97/0.44 % (1674076)------------------------------
% 0.97/0.44 % (1674076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.44 % (1674076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.44 % (1674076)CaDiCaL version: 2.1.3
% 0.97/0.44 % (1674076)Termination reason: Instruction limit
% 0.97/0.44 % (1674076)Termination phase: Saturation
% 0.97/0.44 % (1674076)Time elapsed: 0.014 s
% 0.97/0.44 % (1674076)Peak memory usage: 11 MB
% 0.97/0.44 % (1674076)Instructions burned: 28 (million)
% 0.97/0.44 % (1674089)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3840492292:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.97/0.44 % (1674094)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1827350320:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.97/0.44 % (1674094)Instruction limit reached!
% 0.97/0.44 % (1674094)------------------------------
% 0.97/0.44 % (1674094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.44 % (1674094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.44 % (1674094)CaDiCaL version: 2.1.3
% 0.97/0.44 % (1674094)Termination reason: Instruction limit
% 0.97/0.44 % (1674094)Termination phase: Saturation
% 0.97/0.44 % (1674094)Time elapsed: 0.004 s
% 0.97/0.44 % (1674094)Peak memory usage: 12 MB
% 0.97/0.44 % (1674094)Instructions burned: 15 (million)
% 0.97/0.44 % (1674091)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=920203575:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.97/0.44 % (1674091)Refutation not found, incomplete strategy
% 0.97/0.44 % (1674091)------------------------------
% 0.97/0.44 % (1674091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.44 % (1674091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.44 % (1674091)CaDiCaL version: 2.1.3
% 0.97/0.44 % (1674091)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.44 % (1674091)Time elapsed: 0.001 s
% 0.97/0.44 % (1674091)Peak memory usage: 11 MB
% 0.97/0.44 % (1674091)Instructions burned: 1 (million)
% 0.97/0.44 % (1674091)------------------------------
% 0.97/0.44 % (1674091)------------------------------
% 0.97/0.44 % (1674089)Instruction limit reached!
% 0.97/0.44 % (1674089)------------------------------
% 0.97/0.44 % (1674089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.44 % (1674089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.44 % (1674089)CaDiCaL version: 2.1.3
% 0.97/0.44 % (1674089)Termination reason: Instruction limit
% 0.97/0.44 % (1674089)Termination phase: Saturation
% 0.97/0.44 % (1674089)Time elapsed: 0.009 s
% 0.97/0.44 % (1674089)Peak memory usage: 12 MB
% 0.97/0.44 % (1674089)Instructions burned: 14 (million)
% 0.97/0.44 % (1674096)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1690274933:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.97/0.44 % (1674095)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3507131409:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.97/0.44 % (1674095)Refutation not found, incomplete strategy
% 0.97/0.44 % (1674095)------------------------------
% 0.97/0.44 % (1674095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.44 % (1674095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.44 % (1674095)CaDiCaL version: 2.1.3
% 0.97/0.44 % (1674095)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.44 % (1674095)Time elapsed: 0.001 s
% 0.97/0.44 % (1674095)Peak memory usage: 11 MB
% 0.97/0.44 % (1674095)------------------------------
% 0.97/0.44 % (1674095)------------------------------
% 0.97/0.44 % (1674099)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=481736081:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.97/0.44 % (1674099)Instruction limit reached!
% 0.97/0.44 % (1674099)------------------------------
% 0.97/0.44 % (1674099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.44 % (1674099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.47 % (1674099)CaDiCaL version: 2.1.3
% 0.97/0.47 % (1674099)Termination reason: Instruction limit
% 0.97/0.47 % (1674099)Termination phase: Saturation
% 0.97/0.47 % (1674099)Time elapsed: 0.006 s
% 0.97/0.47 % (1674099)Peak memory usage: 11 MB
% 0.97/0.47 % (1674099)Instructions burned: 26 (million)
% 0.97/0.47 % (1674102)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.97/0.47 % (1674102)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.97/0.47 % (1674096)Instruction limit reached!
% 0.97/0.47 % (1674096)------------------------------
% 0.97/0.47 % (1674096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.47 % (1674096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.47 % (1674096)CaDiCaL version: 2.1.3
% 0.97/0.47 % (1674096)Termination reason: Instruction limit
% 0.97/0.47 % (1674096)Termination phase: Saturation
% 0.97/0.47 % (1674096)Time elapsed: 0.014 s
% 0.97/0.47 % (1674096)Peak memory usage: 12 MB
% 0.97/0.47 % (1674096)Instructions burned: 27 (million)
% 0.97/0.47 % (1674101)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2857748700:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.97/0.47 % (1674102)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=4131233952:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.97/0.47 % (1674105)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.97/0.47 % (1674105)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=4091936832:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.97/0.47 % (1674107)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=3884977462:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.97/0.47 % (1674102)Instruction limit reached!
% 0.97/0.47 % (1674102)------------------------------
% 0.97/0.47 % (1674102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.47 % (1674102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.47 % (1674102)CaDiCaL version: 2.1.3
% 0.97/0.47 % (1674102)Termination reason: Instruction limit
% 0.97/0.47 % (1674102)Termination phase: Saturation
% 0.97/0.47 % (1674102)Time elapsed: 0.008 s
% 0.97/0.47 % (1674102)Peak memory usage: 12 MB
% 0.97/0.47 % (1674102)Instructions burned: 14 (million)
% 0.97/0.47 % (1674105)Instruction limit reached!
% 0.97/0.47 % (1674105)------------------------------
% 0.97/0.47 % (1674105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.47 % (1674105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.47 % (1674105)CaDiCaL version: 2.1.3
% 0.97/0.47 % (1674105)Termination reason: Instruction limit
% 0.97/0.47 % (1674105)Termination phase: Saturation
% 0.97/0.47 % (1674105)Time elapsed: 0.006 s
% 0.97/0.47 % (1674105)Peak memory usage: 12 MB
% 0.97/0.47 % (1674105)Instructions burned: 9 (million)
% 0.97/0.47 % (1674107)Instruction limit reached!
% 0.97/0.47 % (1674107)------------------------------
% 0.97/0.47 % (1674107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.47 % (1674107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.47 % (1674107)CaDiCaL version: 2.1.3
% 0.97/0.47 % (1674107)Termination reason: Instruction limit
% 0.97/0.47 % (1674107)Termination phase: Saturation
% 0.97/0.47 % (1674107)Time elapsed: 0.008 s
% 0.97/0.47 % (1674107)Peak memory usage: 12 MB
% 0.97/0.47 % (1674107)Instructions burned: 32 (million)
% 0.97/0.47 % (1674108)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2859846539:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.97/0.47 % (1674077)Instruction limit reached!
% 0.97/0.47 % (1674077)------------------------------
% 0.97/0.47 % (1674077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.97/0.47 % (1674077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.50 % (1674077)CaDiCaL version: 2.1.3
% 1.71/0.50 % (1674077)Termination reason: Instruction limit
% 1.71/0.50 % (1674077)Termination phase: Saturation
% 1.71/0.50 % (1674077)Time elapsed: 0.072 s
% 1.71/0.50 % (1674077)Peak memory usage: 12 MB
% 1.71/0.50 % (1674077)Instructions burned: 86 (million)
% 1.71/0.50 % (1674108)Instruction limit reached!
% 1.71/0.50 % (1674108)------------------------------
% 1.71/0.50 % (1674108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.50 % (1674108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.50 % (1674108)CaDiCaL version: 2.1.3
% 1.71/0.50 % (1674108)Termination reason: Instruction limit
% 1.71/0.50 % (1674108)Termination phase: Saturation
% 1.71/0.50 % (1674108)Time elapsed: 0.005 s
% 1.71/0.50 % (1674108)Peak memory usage: 12 MB
% 1.71/0.50 % (1674108)Instructions burned: 8 (million)
% 1.71/0.50 % (1674115)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1324134751:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.71/0.50 % (1674113)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2067485126:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.71/0.51 % (1674114)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=395943957:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.71/0.51 % (1674101)Instruction limit reached!
% 1.71/0.51 % (1674101)------------------------------
% 1.71/0.51 % (1674101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.51 % (1674101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.51 % (1674101)CaDiCaL version: 2.1.3
% 1.71/0.51 % (1674101)Termination reason: Instruction limit
% 1.71/0.51 % (1674101)Termination phase: Saturation
% 1.71/0.51 % (1674101)Time elapsed: 0.032 s
% 1.71/0.51 % (1674101)Peak memory usage: 12 MB
% 1.71/0.51 % (1674101)Instructions burned: 60 (million)
% 1.71/0.51 % (1674113)Instruction limit reached!
% 1.71/0.51 % (1674113)------------------------------
% 1.71/0.51 % (1674113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.51 % (1674113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.51 % (1674113)CaDiCaL version: 2.1.3
% 1.71/0.51 % (1674113)Termination reason: Instruction limit
% 1.71/0.51 % (1674113)Termination phase: Saturation
% 1.71/0.51 % (1674113)Time elapsed: 0.011 s
% 1.71/0.51 % (1674113)Peak memory usage: 11 MB
% 1.71/0.51 % (1674113)Instructions burned: 25 (million)
% 1.71/0.51 % (1674117)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=29205610:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.71/0.51 % (1674118)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2070009860:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.71/0.51 % (1674118)Refutation not found, incomplete strategy
% 1.71/0.51 % (1674118)------------------------------
% 1.71/0.51 % (1674118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.51 % (1674118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.51 % (1674118)CaDiCaL version: 2.1.3
% 1.71/0.51 % (1674118)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.51 % (1674118)Time elapsed: 0.001 s
% 1.71/0.51 % (1674118)Peak memory usage: 11 MB
% 1.71/0.51 % (1674118)Instructions burned: 1 (million)
% 1.71/0.51 % (1674118)------------------------------
% 1.71/0.51 % (1674118)------------------------------
% 1.71/0.51 % (1674114)Instruction limit reached!
% 1.71/0.51 % (1674114)------------------------------
% 1.71/0.51 % (1674114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.51 % (1674114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.51 % (1674114)CaDiCaL version: 2.1.3
% 1.71/0.51 % (1674114)Termination reason: Instruction limit
% 1.71/0.51 % (1674114)Termination phase: Saturation
% 1.71/0.51 % (1674114)Time elapsed: 0.013 s
% 1.71/0.51 % (1674114)Peak memory usage: 12 MB
% 1.71/0.51 % (1674114)Instructions burned: 21 (million)
% 1.71/0.51 % (1674122)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=675915416:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.71/0.51 % (1674123)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.71/0.51 % (1674123)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3881748237:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.71/0.57 % (1674128)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3279104816:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.71/0.57 % (1674123)Instruction limit reached!
% 1.71/0.57 % (1674123)------------------------------
% 1.71/0.57 % (1674123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.57 % (1674123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.57 % (1674123)CaDiCaL version: 2.1.3
% 1.71/0.57 % (1674123)Termination reason: Instruction limit
% 1.71/0.57 % (1674123)Termination phase: Saturation
% 1.71/0.57 % (1674123)Time elapsed: 0.004 s
% 1.71/0.57 % (1674123)Peak memory usage: 12 MB
% 1.71/0.57 % (1674123)Instructions burned: 8 (million)
% 1.71/0.57 % (1674128)Refutation not found, incomplete strategy
% 1.71/0.57 % (1674128)------------------------------
% 1.71/0.57 % (1674128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.57 % (1674128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.57 % (1674128)CaDiCaL version: 2.1.3
% 1.71/0.57 % (1674128)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.57 % (1674128)Time elapsed: 0.001 s
% 1.71/0.57 % (1674128)Peak memory usage: 11 MB
% 1.71/0.57 % (1674128)Instructions burned: 1 (million)
% 1.71/0.57 % (1674130)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=2930189074:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.71/0.57 % (1674128)------------------------------
% 1.71/0.57 % (1674128)------------------------------
% 1.71/0.57 % (1674130)Refutation not found, incomplete strategy
% 1.71/0.57 % (1674130)------------------------------
% 1.71/0.57 % (1674130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.57 % (1674130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.57 % (1674130)CaDiCaL version: 2.1.3
% 1.71/0.57 % (1674130)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.57 % (1674130)Time elapsed: 0.001 s
% 1.71/0.57 % (1674130)Peak memory usage: 11 MB
% 1.71/0.57 % (1674130)Instructions burned: 1 (million)
% 1.71/0.57 % (1674130)------------------------------
% 1.71/0.57 % (1674130)------------------------------
% 1.71/0.57 % (1674122)Instruction limit reached!
% 1.71/0.57 % (1674122)------------------------------
% 1.71/0.57 % (1674122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.57 % (1674122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.57 % (1674122)CaDiCaL version: 2.1.3
% 1.71/0.57 % (1674122)Termination reason: Instruction limit
% 1.71/0.57 % (1674122)Termination phase: Saturation
% 1.71/0.57 % (1674122)Time elapsed: 0.021 s
% 1.71/0.57 % (1674122)Peak memory usage: 12 MB
% 1.71/0.57 % (1674122)Instructions burned: 42 (million)
% 1.71/0.57 % (1674142)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.71/0.57 % (1674142)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=228305707:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.71/0.57 % (1674143)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3630640408:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.71/0.57 % (1674142)Refutation not found, incomplete strategy
% 1.71/0.57 % (1674142)------------------------------
% 1.71/0.57 % (1674142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.57 % (1674142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.57 % (1674142)CaDiCaL version: 2.1.3
% 1.71/0.57 % (1674142)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.57 % (1674142)Time elapsed: 0.001 s
% 1.71/0.57 % (1674142)Peak memory usage: 11 MB
% 1.71/0.57 % (1674142)Instructions burned: 1 (million)
% 1.71/0.57 % (1674145)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=823465320:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.63/0.64 % (1674142)------------------------------
% 2.63/0.64 % (1674142)------------------------------
% 2.63/0.64 % (1674145)Refutation not found, incomplete strategy
% 2.63/0.64 % (1674145)------------------------------
% 2.63/0.64 % (1674145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.64 % (1674145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.64 % (1674145)CaDiCaL version: 2.1.3
% 2.63/0.64 % (1674145)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.64 % (1674145)Time elapsed: 0.002 s
% 2.63/0.64 % (1674145)Peak memory usage: 12 MB
% 2.63/0.64 % (1674145)Instructions burned: 3 (million)
% 2.63/0.64 % (1674145)------------------------------
% 2.63/0.64 % (1674145)------------------------------
% 2.63/0.64 % (1674149)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=2217317399:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.63/0.64 % (1674143)Instruction limit reached!
% 2.63/0.64 % (1674143)------------------------------
% 2.63/0.64 % (1674143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.64 % (1674143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.64 % (1674143)CaDiCaL version: 2.1.3
% 2.63/0.64 % (1674143)Termination reason: Instruction limit
% 2.63/0.64 % (1674143)Termination phase: Saturation
% 2.63/0.64 % (1674143)Time elapsed: 0.011 s
% 2.63/0.64 % (1674143)Peak memory usage: 12 MB
% 2.63/0.64 % (1674143)Instructions burned: 22 (million)
% 2.63/0.64 % (1674117)Instruction limit reached!
% 2.63/0.64 % (1674117)------------------------------
% 2.63/0.64 % (1674117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.64 % (1674117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.64 % (1674117)CaDiCaL version: 2.1.3
% 2.63/0.64 % (1674117)Termination reason: Instruction limit
% 2.63/0.64 % (1674117)Termination phase: Saturation
% 2.63/0.64 % (1674117)Time elapsed: 0.059 s
% 2.63/0.64 % (1674117)Peak memory usage: 12 MB
% 2.63/0.64 % (1674117)Instructions burned: 144 (million)
% 2.63/0.64 % (1674059)Instruction limit reached!
% 2.63/0.64 % (1674059)------------------------------
% 2.63/0.64 % (1674059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.64 % (1674059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.64 % (1674059)CaDiCaL version: 2.1.3
% 2.63/0.64 % (1674059)Termination reason: Instruction limit
% 2.63/0.64 % (1674059)Termination phase: Saturation
% 2.63/0.64 % (1674059)Time elapsed: 0.209 s
% 2.63/0.64 % (1674059)Peak memory usage: 13 MB
% 2.63/0.64 % (1674059)Instructions burned: 635 (million)
% 2.63/0.64 % (1674157)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=388228248:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.63/0.64 % (1674155)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=1292964051:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.63/0.64 % (1674159)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1168937122:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.63/0.64 % (1674159)Refutation not found, incomplete strategy
% 2.63/0.64 % (1674159)------------------------------
% 2.63/0.64 % (1674159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.64 % (1674159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.64 % (1674159)CaDiCaL version: 2.1.3
% 2.63/0.64 % (1674159)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.64 % (1674159)Time elapsed: 0.001 s
% 2.63/0.64 % (1674159)Peak memory usage: 12 MB
% 2.63/0.64 % (1674159)Instructions burned: 1 (million)
% 2.63/0.64 % (1674159)------------------------------
% 2.63/0.64 % (1674159)------------------------------
% 2.63/0.64 % (1674165)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.63/0.64 % (1674164)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4057967733:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.63/0.67 % (1674165)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2908403528:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.63/0.67 % (1674164)Instruction limit reached!
% 2.63/0.67 % (1674164)------------------------------
% 2.63/0.67 % (1674164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1674164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.67 % (1674164)CaDiCaL version: 2.1.3
% 2.63/0.67 % (1674164)Termination reason: Instruction limit
% 2.63/0.67 % (1674164)Termination phase: Saturation
% 2.63/0.67 % (1674164)Time elapsed: 0.012 s
% 2.63/0.67 % (1674164)Peak memory usage: 12 MB
% 2.63/0.67 % (1674164)Instructions burned: 23 (million)
% 2.63/0.67 % (1674173)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2079536656:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.63/0.67 % (1674157)Instruction limit reached!
% 2.63/0.67 % (1674157)------------------------------
% 2.63/0.67 % (1674157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1674157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.67 % (1674157)CaDiCaL version: 2.1.3
% 2.63/0.67 % (1674157)Termination reason: Instruction limit
% 2.63/0.67 % (1674157)Termination phase: Saturation
% 2.63/0.67 % (1674157)Time elapsed: 0.026 s
% 2.63/0.67 % (1674157)Peak memory usage: 12 MB
% 2.63/0.67 % (1674157)Instructions burned: 46 (million)
% 2.63/0.67 % (1674173)Instruction limit reached!
% 2.63/0.67 % (1674173)------------------------------
% 2.63/0.67 % (1674173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1674173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.67 % (1674173)CaDiCaL version: 2.1.3
% 2.63/0.67 % (1674173)Termination reason: Instruction limit
% 2.63/0.67 % (1674173)Termination phase: Saturation
% 2.63/0.67 % (1674173)Time elapsed: 0.009 s
% 2.63/0.67 % (1674173)Peak memory usage: 12 MB
% 2.63/0.67 % (1674173)Instructions burned: 14 (million)
% 2.63/0.67 % (1674184)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=1427533904:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.63/0.67 % (1674187)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3548764302:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.63/0.67 % (1674187)Refutation not found, incomplete strategy
% 2.63/0.67 % (1674187)------------------------------
% 2.63/0.67 % (1674187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1674187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.67 % (1674187)CaDiCaL version: 2.1.3
% 2.63/0.67 % (1674187)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.67 % (1674187)Time elapsed: 0.001 s
% 2.63/0.67 % (1674187)Peak memory usage: 12 MB
% 2.63/0.67 % (1674187)Instructions burned: 2 (million)
% 2.63/0.67 % (1674187)------------------------------
% 2.63/0.67 % (1674187)------------------------------
% 2.63/0.67 % (1674192)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3252964763:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.63/0.67 % (1674201)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2770360092:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.63/0.67 % (1674192)Instruction limit reached!
% 2.63/0.67 % (1674192)------------------------------
% 2.63/0.67 % (1674192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1674192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.67 % (1674192)CaDiCaL version: 2.1.3
% 2.63/0.67 % (1674192)Termination reason: Instruction limit
% 2.63/0.67 % (1674192)Termination phase: Saturation
% 2.63/0.67 % (1674192)Time elapsed: 0.016 s
% 2.63/0.67 % (1674192)Peak memory usage: 12 MB
% 2.63/0.67 % (1674192)Instructions burned: 31 (million)
% 2.63/0.67 % (1674184)Instruction limit reached!
% 2.63/0.67 % (1674184)------------------------------
% 2.63/0.67 % (1674184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1674184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.71 % (1674184)CaDiCaL version: 2.1.3
% 3.10/0.71 % (1674184)Termination reason: Instruction limit
% 3.10/0.71 % (1674184)Termination phase: Saturation
% 3.10/0.71 % (1674184)Time elapsed: 0.032 s
% 3.10/0.71 % (1674184)Peak memory usage: 12 MB
% 3.10/0.71 % (1674184)Instructions burned: 68 (million)
% 3.10/0.71 % (1674165)Instruction limit reached!
% 3.10/0.71 % (1674165)------------------------------
% 3.10/0.71 % (1674165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.71 % (1674165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.71 % (1674165)CaDiCaL version: 2.1.3
% 3.10/0.71 % (1674165)Termination reason: Instruction limit
% 3.10/0.71 % (1674165)Termination phase: Saturation
% 3.10/0.71 % (1674165)Time elapsed: 0.074 s
% 3.10/0.71 % (1674165)Peak memory usage: 12 MB
% 3.10/0.71 % (1674165)Instructions burned: 201 (million)
% 3.10/0.71 % (1674219)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=1537634481:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.10/0.71 % (1674221)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1378903400:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.10/0.71 % (1674221)Refutation not found, incomplete strategy
% 3.10/0.71 % (1674221)------------------------------
% 3.10/0.71 % (1674221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.71 % (1674221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.71 % (1674221)CaDiCaL version: 2.1.3
% 3.10/0.71 % (1674221)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.71 % (1674221)Time elapsed: 0.001 s
% 3.10/0.71 % (1674221)Peak memory usage: 12 MB
% 3.10/0.71 % (1674221)Instructions burned: 2 (million)
% 3.10/0.71 % (1674221)------------------------------
% 3.10/0.71 % (1674221)------------------------------
% 3.10/0.71 % (1674226)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.10/0.71 % (1674226)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2177725895:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.10/0.71 % (1674219)Instruction limit reached!
% 3.10/0.71 % (1674219)------------------------------
% 3.10/0.71 % (1674219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.71 % (1674219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.71 % (1674219)CaDiCaL version: 2.1.3
% 3.10/0.71 % (1674219)Termination reason: Instruction limit
% 3.10/0.71 % (1674219)Termination phase: Saturation
% 3.10/0.71 % (1674219)Time elapsed: 0.018 s
% 3.10/0.71 % (1674219)Peak memory usage: 12 MB
% 3.10/0.71 % (1674219)Instructions burned: 34 (million)
% 3.10/0.71 % (1674231)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2945275336:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.10/0.71 % (1674231)Refutation not found, incomplete strategy
% 3.10/0.71 % (1674231)------------------------------
% 3.10/0.71 % (1674231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.71 % (1674231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.71 % (1674231)CaDiCaL version: 2.1.3
% 3.10/0.71 % (1674231)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.71 % (1674231)Time elapsed: 0.001 s
% 3.10/0.71 % (1674231)Peak memory usage: 11 MB
% 3.10/0.71 % (1674231)Instructions burned: 1 (million)
% 3.10/0.71 % (1674231)------------------------------
% 3.10/0.71 % (1674231)------------------------------
% 3.10/0.71 % (1674235)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=352967888:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.10/0.71 % (1674201)Instruction limit reached!
% 3.10/0.71 % (1674201)------------------------------
% 3.10/0.71 % (1674201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.71 % (1674201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.71 % (1674201)CaDiCaL version: 2.1.3
% 3.10/0.71 % (1674201)Termination reason: Instruction limit
% 3.10/0.71 % (1674201)Termination phase: Saturation
% 3.10/0.71 % (1674201)Time elapsed: 0.065 s
% 3.10/0.71 % (1674201)Peak memory usage: 13 MB
% 3.10/0.71 % (1674201)Instructions burned: 139 (million)
% 3.10/0.71 % (1674240)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1773524390:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.10/0.77 % (1674240)Refutation not found, incomplete strategy
% 3.10/0.77 % (1674240)------------------------------
% 3.10/0.77 % (1674240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.77 % (1674240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.77 % (1674240)CaDiCaL version: 2.1.3
% 3.10/0.77 % (1674240)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.77 % (1674240)Time elapsed: 0.001 s
% 3.10/0.77 % (1674240)Peak memory usage: 11 MB
% 3.10/0.77 % (1674240)Instructions burned: 1 (million)
% 3.10/0.77 % (1674240)------------------------------
% 3.10/0.77 % (1674240)------------------------------
% 3.10/0.77 % (1674149)Instruction limit reached!
% 3.10/0.77 % (1674149)------------------------------
% 3.10/0.77 % (1674149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.77 % (1674149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.77 % (1674149)CaDiCaL version: 2.1.3
% 3.10/0.77 % (1674149)Termination reason: Instruction limit
% 3.10/0.77 % (1674149)Termination phase: Saturation
% 3.10/0.77 % (1674149)Time elapsed: 0.164 s
% 3.10/0.77 % (1674149)Peak memory usage: 13 MB
% 3.10/0.77 % (1674149)Instructions burned: 319 (million)
% 3.10/0.77 % (1674246)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4162725249:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.10/0.77 % (1674246)Refutation not found, incomplete strategy
% 3.10/0.77 % (1674246)------------------------------
% 3.10/0.77 % (1674246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.77 % (1674246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.77 % (1674246)CaDiCaL version: 2.1.3
% 3.10/0.77 % (1674246)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.77 % (1674246)Time elapsed: 0.001 s
% 3.10/0.77 % (1674246)Peak memory usage: 12 MB
% 3.10/0.77 % (1674246)Instructions burned: 1 (million)
% 3.10/0.77 % (1674246)------------------------------
% 3.10/0.77 % (1674246)------------------------------
% 3.10/0.77 % (1674251)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3150272:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.10/0.77 % (1674251)Refutation not found, incomplete strategy
% 3.10/0.77 % (1674251)------------------------------
% 3.10/0.77 % (1674251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.77 % (1674251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.77 % (1674251)CaDiCaL version: 2.1.3
% 3.10/0.77 % (1674251)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.77 % (1674251)Time elapsed: 0.001 s
% 3.10/0.77 % (1674251)Peak memory usage: 12 MB
% 3.10/0.77 % (1674251)Instructions burned: 1 (million)
% 3.10/0.77 % (1674251)------------------------------
% 3.10/0.77 % (1674251)------------------------------
% 3.10/0.77 % (1674254)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2493300124:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.10/0.77 % (1674254)Refutation not found, incomplete strategy
% 3.10/0.77 % (1674254)------------------------------
% 3.10/0.77 % (1674254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.77 % (1674254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.77 % (1674254)CaDiCaL version: 2.1.3
% 3.10/0.77 % (1674254)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.77 % (1674254)Time elapsed: 0.001 s
% 3.10/0.77 % (1674254)Peak memory usage: 11 MB
% 3.10/0.77 % (1674254)Instructions burned: 1 (million)
% 3.10/0.77 % (1674254)------------------------------
% 3.10/0.77 % (1674254)------------------------------
% 3.10/0.77 % (1674258)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1270543202:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.10/0.77 % (1674235)Instruction limit reached!
% 3.10/0.77 % (1674235)------------------------------
% 3.10/0.77 % (1674235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.77 % (1674235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.77 % (1674235)CaDiCaL version: 2.1.3
% 3.10/0.77 % (1674235)Termination reason: Instruction limit
% 3.10/0.77 % (1674235)Termination phase: Saturation
% 3.10/0.77 % (1674235)Time elapsed: 0.044 s
% 3.61/0.81 % (1674235)Peak memory usage: 12 MB
% 3.61/0.81 % (1674235)Instructions burned: 98 (million)
% 3.61/0.81 % (1674261)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=603185766:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.61/0.81 % (1674115)Instruction limit reached!
% 3.61/0.81 % (1674115)------------------------------
% 3.61/0.81 % (1674115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.81 % (1674115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.81 % (1674115)CaDiCaL version: 2.1.3
% 3.61/0.81 % (1674115)Termination reason: Instruction limit
% 3.61/0.81 % (1674115)Termination phase: Saturation
% 3.61/0.81 % (1674115)Time elapsed: 0.270 s
% 3.61/0.81 % (1674115)Peak memory usage: 13 MB
% 3.61/0.81 % (1674115)Instructions burned: 1245 (million)
% 3.61/0.81 % (1674261)Refutation not found, incomplete strategy
% 3.61/0.81 % (1674261)------------------------------
% 3.61/0.81 % (1674261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.81 % (1674261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.81 % (1674261)CaDiCaL version: 2.1.3
% 3.61/0.81 % (1674261)Termination reason: Refutation not found, incomplete strategy
% 3.61/0.81 % (1674261)Time elapsed: 0.002 s
% 3.61/0.81 % (1674261)Peak memory usage: 12 MB
% 3.61/0.81 % (1674261)Instructions burned: 1 (million)
% 3.61/0.81 % (1674261)------------------------------
% 3.61/0.81 % (1674261)------------------------------
% 3.61/0.81 % (1674263)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=4057923961:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.61/0.81 % (1674226)Instruction limit reached!
% 3.61/0.81 % (1674226)------------------------------
% 3.61/0.81 % (1674226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.81 % (1674226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.81 % (1674226)CaDiCaL version: 2.1.3
% 3.61/0.81 % (1674226)Termination reason: Instruction limit
% 3.61/0.81 % (1674226)Termination phase: Saturation
% 3.61/0.81 % (1674226)Time elapsed: 0.082 s
% 3.61/0.81 % (1674226)Peak memory usage: 12 MB
% 3.61/0.81 % (1674226)Instructions burned: 181 (million)
% 3.61/0.81 % (1674265)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=197096853:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.61/0.81 % (1674258)Instruction limit reached!
% 3.61/0.81 % (1674258)------------------------------
% 3.61/0.81 % (1674258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.81 % (1674258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.81 % (1674258)CaDiCaL version: 2.1.3
% 3.61/0.81 % (1674258)Termination reason: Instruction limit
% 3.61/0.81 % (1674258)Termination phase: Saturation
% 3.61/0.81 % (1674258)Time elapsed: 0.024 s
% 3.61/0.81 % (1674258)Peak memory usage: 12 MB
% 3.61/0.81 % (1674258)Instructions burned: 44 (million)
% 3.61/0.81 % (1674271)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=4173498698:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.61/0.81 % (1674275)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=4183168124:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.61/0.81 % (1674276)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=2290102184:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.61/0.81 % (1674276)Refutation not found, incomplete strategy
% 3.61/0.81 % (1674276)------------------------------
% 3.61/0.81 % (1674276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.61/0.81 % (1674276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/0.81 % (1674276)CaDiCaL version: 2.1.3
% 3.61/0.81 % (1674276)Termination reason: Refutation not found, incomplete strategy
% 3.61/0.81 % (1674276)Time elapsed: 0.001 s
% 4.13/0.90 % (1674276)Peak memory usage: 12 MB
% 4.13/0.90 % (1674276)Instructions burned: 1 (million)
% 4.13/0.90 % (1674271)Instruction limit reached!
% 4.13/0.90 % (1674271)------------------------------
% 4.13/0.90 % (1674271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.90 % (1674271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.90 % (1674276)------------------------------
% 4.13/0.90 % (1674276)------------------------------
% 4.13/0.90 % (1674271)CaDiCaL version: 2.1.3
% 4.13/0.90 % (1674271)Termination reason: Instruction limit
% 4.13/0.90 % (1674271)Termination phase: Saturation
% 4.13/0.90 % (1674271)Time elapsed: 0.018 s
% 4.13/0.90 % (1674271)Peak memory usage: 12 MB
% 4.13/0.90 % (1674271)Instructions burned: 69 (million)
% 4.13/0.90 % (1674282)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=951217291:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 4.13/0.90 % (1674282)Refutation not found, incomplete strategy
% 4.13/0.90 % (1674282)------------------------------
% 4.13/0.90 % (1674282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.90 % (1674282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.90 % (1674282)CaDiCaL version: 2.1.3
% 4.13/0.90 % (1674282)Termination reason: Refutation not found, incomplete strategy
% 4.13/0.90 % (1674282)Time elapsed: 0.001 s
% 4.13/0.90 % (1674282)Peak memory usage: 11 MB
% 4.13/0.90 % (1674282)------------------------------
% 4.13/0.90 % (1674282)------------------------------
% 4.13/0.90 % (1674292)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=672969911:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 4.13/0.90 % (1674293)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=2822382169:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.13/0.90 % (1674295)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3333975428:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 4.13/0.90 % (1674265)Instruction limit reached!
% 4.13/0.90 % (1674265)------------------------------
% 4.13/0.90 % (1674265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.90 % (1674265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.90 % (1674265)CaDiCaL version: 2.1.3
% 4.13/0.90 % (1674265)Termination reason: Instruction limit
% 4.13/0.90 % (1674265)Termination phase: Saturation
% 4.13/0.90 % (1674265)Time elapsed: 0.056 s
% 4.13/0.90 % (1674265)Peak memory usage: 12 MB
% 4.13/0.90 % (1674265)Instructions burned: 98 (million)
% 4.13/0.90 % (1674293)Instruction limit reached!
% 4.13/0.90 % (1674293)------------------------------
% 4.13/0.90 % (1674293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.90 % (1674293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.90 % (1674293)CaDiCaL version: 2.1.3
% 4.13/0.90 % (1674293)Termination reason: Instruction limit
% 4.13/0.90 % (1674293)Termination phase: Saturation
% 4.13/0.90 % (1674293)Time elapsed: 0.020 s
% 4.13/0.90 % (1674293)Peak memory usage: 12 MB
% 4.13/0.90 % (1674293)Instructions burned: 35 (million)
% 4.13/0.90 % (1674275)Instruction limit reached!
% 4.13/0.90 % (1674275)------------------------------
% 4.13/0.90 % (1674275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.90 % (1674275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.90 % (1674275)CaDiCaL version: 2.1.3
% 4.13/0.90 % (1674275)Termination reason: Instruction limit
% 4.13/0.90 % (1674275)Termination phase: Saturation
% 4.13/0.90 % (1674275)Time elapsed: 0.058 s
% 4.13/0.90 % (1674275)Peak memory usage: 13 MB
% 4.13/0.90 % (1674275)Instructions burned: 106 (million)
% 4.13/0.90 % (1674303)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1774551043:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.13/0.90 % (1674303)Refutation not found, incomplete strategy
% 4.13/0.90 % (1674303)------------------------------
% 4.13/0.90 % (1674303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.90 % (1674303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.90 % (1674303)CaDiCaL version: 2.1.3
% 4.13/0.90 % (1674303)Termination reason: Refutation not found, incomplete strategy
% 4.13/0.99 % (1674303)Time elapsed: 0.001 s
% 4.13/0.99 % (1674303)Peak memory usage: 11 MB
% 4.13/0.99 % (1674303)------------------------------
% 4.13/0.99 % (1674303)------------------------------
% 4.13/0.99 % (1674304)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3183051841:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 4.13/0.99 % (1674295)Instruction limit reached!
% 4.13/0.99 % (1674295)------------------------------
% 4.13/0.99 % (1674295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.99 % (1674295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.99 % (1674295)CaDiCaL version: 2.1.3
% 4.13/0.99 % (1674295)Termination reason: Instruction limit
% 4.13/0.99 % (1674295)Termination phase: Saturation
% 4.13/0.99 % (1674295)Time elapsed: 0.038 s
% 4.13/0.99 % (1674295)Peak memory usage: 12 MB
% 4.13/0.99 % (1674295)Instructions burned: 93 (million)
% 4.13/0.99 % (1674308)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=612023315:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 4.13/0.99 % (1674304)Instruction limit reached!
% 4.13/0.99 % (1674304)------------------------------
% 4.13/0.99 % (1674304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.99 % (1674304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.99 % (1674304)CaDiCaL version: 2.1.3
% 4.13/0.99 % (1674304)Termination reason: Instruction limit
% 4.13/0.99 % (1674304)Termination phase: Saturation
% 4.13/0.99 % (1674304)Time elapsed: 0.012 s
% 4.13/0.99 % (1674304)Peak memory usage: 12 MB
% 4.13/0.99 % (1674304)Instructions burned: 24 (million)
% 4.13/0.99 % (1674315)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.13/0.99 % (1674311)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3672962289:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 4.13/0.99 % (1674155)Instruction limit reached!
% 4.13/0.99 % (1674155)------------------------------
% 4.13/0.99 % (1674155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.99 % (1674155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.99 % (1674155)CaDiCaL version: 2.1.3
% 4.13/0.99 % (1674155)Termination reason: Instruction limit
% 4.13/0.99 % (1674155)Termination phase: Saturation
% 4.13/0.99 % (1674155)Time elapsed: 0.290 s
% 4.13/0.99 % (1674155)Peak memory usage: 13 MB
% 4.13/0.99 % (1674155)Instructions burned: 854 (million)
% 4.13/0.99 % (1674311)Refutation not found, incomplete strategy
% 4.13/0.99 % (1674311)------------------------------
% 4.13/0.99 % (1674311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.99 % (1674311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.99 % (1674311)CaDiCaL version: 2.1.3
% 4.13/0.99 % (1674311)Termination reason: Refutation not found, incomplete strategy
% 4.13/0.99 % (1674311)Time elapsed: 0.001 s
% 4.13/0.99 % (1674311)Peak memory usage: 11 MB
% 4.13/0.99 % (1674311)Instructions burned: 1 (million)
% 4.13/0.99 % (1674311)------------------------------
% 4.13/0.99 % (1674311)------------------------------
% 4.13/0.99 % (1674315)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2335754375:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 4.13/0.99 % (1674318)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=2511390766:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 4.13/0.99 % (1674323)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.13/0.99 % (1674322)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1705281608:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.13/0.99 % (1674322)Refutation not found, incomplete strategy
% 4.13/0.99 % (1674322)------------------------------
% 4.13/0.99 % (1674322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.99 % (1674322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (1674322)CaDiCaL version: 2.1.3
% 5.61/1.07 % (1674322)Termination reason: Refutation not found, incomplete strategy
% 5.61/1.07 % (1674322)Time elapsed: 0.001 s
% 5.61/1.07 % (1674322)Peak memory usage: 11 MB
% 5.61/1.07 % (1674323)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2689509991:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 5.61/1.07 % (1674322)------------------------------
% 5.61/1.07 % (1674322)------------------------------
% 5.61/1.07 % (1674334)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3705512788:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 5.61/1.07 % (1674263)Instruction limit reached!
% 5.61/1.07 % (1674263)------------------------------
% 5.61/1.07 % (1674263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (1674263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (1674263)CaDiCaL version: 2.1.3
% 5.61/1.07 % (1674263)Termination reason: Instruction limit
% 5.61/1.07 % (1674263)Termination phase: Saturation
% 5.61/1.07 % (1674263)Time elapsed: 0.157 s
% 5.61/1.07 % (1674263)Peak memory usage: 13 MB
% 5.61/1.07 % (1674263)Instructions burned: 452 (million)
% 5.61/1.07 % (1674292)Instruction limit reached!
% 5.61/1.07 % (1674292)------------------------------
% 5.61/1.07 % (1674292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (1674292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (1674292)CaDiCaL version: 2.1.3
% 5.61/1.07 % (1674292)Termination reason: Instruction limit
% 5.61/1.07 % (1674292)Termination phase: Saturation
% 5.61/1.07 % (1674292)Time elapsed: 0.122 s
% 5.61/1.07 % (1674292)Peak memory usage: 13 MB
% 5.61/1.07 % (1674292)Instructions burned: 496 (million)
% 5.61/1.07 % (1674315)Instruction limit reached!
% 5.61/1.07 % (1674315)------------------------------
% 5.61/1.07 % (1674315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (1674315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (1674315)CaDiCaL version: 2.1.3
% 5.61/1.07 % (1674315)Termination reason: Instruction limit
% 5.61/1.07 % (1674315)Termination phase: Saturation
% 5.61/1.07 % (1674315)Time elapsed: 0.057 s
% 5.61/1.07 % (1674315)Peak memory usage: 12 MB
% 5.61/1.07 % (1674315)Instructions burned: 139 (million)
% 5.61/1.07 % (1674341)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1109432431:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 5.61/1.07 % (1674340)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3979611626:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 5.61/1.07 % (1674340)Refutation not found, incomplete strategy
% 5.61/1.07 % (1674340)------------------------------
% 5.61/1.07 % (1674340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (1674340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (1674340)CaDiCaL version: 2.1.3
% 5.61/1.07 % (1674340)Termination reason: Refutation not found, incomplete strategy
% 5.61/1.07 % (1674340)Time elapsed: 0.002 s
% 5.61/1.07 % (1674340)Peak memory usage: 12 MB
% 5.61/1.07 % (1674340)Instructions burned: 2 (million)
% 5.61/1.07 % (1674340)------------------------------
% 5.61/1.07 % (1674340)------------------------------
% 5.61/1.07 % (1674344)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=3324144571:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/9840Mi)
% 5.61/1.07 % (1674334)Instruction limit reached!
% 5.61/1.07 % (1674334)------------------------------
% 5.61/1.07 % (1674334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.07 % (1674334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.07 % (1674334)CaDiCaL version: 2.1.3
% 5.61/1.07 % (1674334)Termination reason: Instruction limit
% 5.61/1.07 % (1674334)Termination phase: Saturation
% 5.61/1.07 % (1674334)Time elapsed: 0.055 s
% 5.61/1.07 % (1674334)Peak memory usage: 12 MB
% 5.61/1.07 % (1674334)Instructions burned: 116 (million)
% 5.61/1.07 % (1674353)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1204629988:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.61/1.14 % (1674353)Refutation not found, incomplete strategy
% 5.61/1.14 % (1674353)------------------------------
% 5.61/1.14 % (1674353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.14 % (1674353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (1674353)CaDiCaL version: 2.1.3
% 5.61/1.14 % (1674353)Termination reason: Refutation not found, incomplete strategy
% 5.61/1.14 % (1674353)Time elapsed: 0.002 s
% 5.61/1.14 % (1674353)Peak memory usage: 11 MB
% 5.61/1.14 % (1674353)Instructions burned: 1 (million)
% 5.61/1.14 % (1674353)------------------------------
% 5.61/1.14 % (1674353)------------------------------
% 5.61/1.14 % (1674363)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.61/1.14 % (1674363)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=2784774891:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.61/1.14 % (1674374)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1146292345:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.61/1.14 % (1674341)Instruction limit reached!
% 5.61/1.14 % (1674341)------------------------------
% 5.61/1.14 % (1674341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.14 % (1674341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (1674341)CaDiCaL version: 2.1.3
% 5.61/1.14 % (1674341)Termination reason: Instruction limit
% 5.61/1.14 % (1674341)Termination phase: Saturation
% 5.61/1.14 % (1674341)Time elapsed: 0.105 s
% 5.61/1.14 % (1674341)Peak memory usage: 12 MB
% 5.61/1.14 % (1674341)Instructions burned: 271 (million)
% 5.61/1.14 % (1674374)Instruction limit reached!
% 5.61/1.14 % (1674374)------------------------------
% 5.61/1.14 % (1674374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.14 % (1674374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (1674374)CaDiCaL version: 2.1.3
% 5.61/1.14 % (1674374)Termination reason: Instruction limit
% 5.61/1.14 % (1674374)Termination phase: Saturation
% 5.61/1.14 % (1674374)Time elapsed: 0.029 s
% 5.61/1.14 % (1674374)Peak memory usage: 12 MB
% 5.61/1.14 % (1674374)Instructions burned: 32 (million)
% 5.61/1.14 % (1674378)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.61/1.14 % (1674378)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.61/1.14 % (1674378)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=2405063928:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 5.61/1.14 % (1674318)Instruction limit reached!
% 5.61/1.14 % (1674318)------------------------------
% 5.61/1.14 % (1674318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.14 % (1674318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (1674308)Instruction limit reached!
% 5.61/1.14 % (1674308)------------------------------
% 5.61/1.14 % (1674308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.61/1.14 % (1674308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.14 % (1674318)CaDiCaL version: 2.1.3
% 5.61/1.14 % (1674308)CaDiCaL version: 2.1.3
% 5.61/1.14 % (1674308)Termination reason: Instruction limit
% 5.61/1.14 % (1674308)Termination phase: Saturation
% 5.61/1.14 % (1674318)Termination reason: Instruction limit
% 5.61/1.14 % (1674318)Termination phase: Saturation
% 5.61/1.14 % (1674308)Time elapsed: 0.203 s
% 5.61/1.14 % (1674318)Time elapsed: 0.184 s
% 5.61/1.14 % (1674308)Peak memory usage: 14 MB
% 5.61/1.14 % (1674318)Peak memory usage: 13 MB
% 5.61/1.14 % (1674318)Instructions burned: 340 (million)
% 5.61/1.14 % (1674308)Instructions burned: 339 (million)
% 5.61/1.14 % (1674379)dis+10_2_sil=128000:si=on:random_seed=877826474:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 6.64/1.33 % (1674379)Refutation not found, incomplete strategy
% 6.64/1.33 % (1674379)------------------------------
% 6.64/1.33 % (1674379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.33 % (1674379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.33 % (1674379)CaDiCaL version: 2.1.3
% 6.64/1.33 % (1674379)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.33 % (1674379)Time elapsed: 0.002 s
% 6.64/1.33 % (1674379)Peak memory usage: 11 MB
% 6.64/1.33 % (1674379)Instructions burned: 1 (million)
% 6.64/1.33 % (1674379)------------------------------
% 6.64/1.33 % (1674379)------------------------------
% 6.64/1.33 % (1674389)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=2613770127:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 6.64/1.33 % (1674384)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=2677152457:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 6.64/1.33 % (1674383)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=619220755:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 6.64/1.33 % (1674389)Refutation not found, incomplete strategy
% 6.64/1.33 % (1674389)------------------------------
% 6.64/1.33 % (1674389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.33 % (1674389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.33 % (1674384)Refutation not found, incomplete strategy
% 6.64/1.33 % (1674384)------------------------------
% 6.64/1.33 % (1674384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.33 % (1674389)CaDiCaL version: 2.1.3
% 6.64/1.33 % (1674389)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.33 % (1674389)Time elapsed: 0.002 s
% 6.64/1.33 % (1674389)Peak memory usage: 12 MB
% 6.64/1.33 % (1674384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.33 % (1674389)Instructions burned: 2 (million)
% 6.64/1.33 % (1674384)CaDiCaL version: 2.1.3
% 6.64/1.33 % (1674384)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.33 % (1674384)Time elapsed: 0.002 s
% 6.64/1.33 % (1674384)Peak memory usage: 11 MB
% 6.64/1.33 % (1674384)Instructions burned: 1 (million)
% 6.64/1.33 % (1674389)------------------------------
% 6.64/1.33 % (1674389)------------------------------
% 6.64/1.33 % (1674384)------------------------------
% 6.64/1.33 % (1674384)------------------------------
% 6.64/1.33 % (1674395)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3962225889:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.64/1.33 % (1674395)Refutation not found, incomplete strategy
% 6.64/1.33 % (1674395)------------------------------
% 6.64/1.33 % (1674395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.33 % (1674395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.33 % (1674395)CaDiCaL version: 2.1.3
% 6.64/1.33 % (1674395)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.33 % (1674395)Time elapsed: 0.001 s
% 6.64/1.33 % (1674395)Peak memory usage: 11 MB
% 6.64/1.33 % (1674395)------------------------------
% 6.64/1.33 % (1674395)------------------------------
% 6.64/1.33 % (1674396)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=46271809:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.64/1.33 % (1674396)Refutation not found, incomplete strategy
% 6.64/1.33 % (1674396)------------------------------
% 6.64/1.33 % (1674396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.33 % (1674396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.33 % (1674396)CaDiCaL version: 2.1.3
% 6.64/1.33 % (1674396)Termination reason: Refutation not found, incomplete strategy
% 6.64/1.33 % (1674396)Time elapsed: 0.004 s
% 6.64/1.33 % (1674396)Peak memory usage: 12 MB
% 6.64/1.33 % (1674396)Instructions burned: 3 (million)
% 6.64/1.33 % (1674396)------------------------------
% 6.64/1.33 % (1674396)------------------------------
% 7.65/1.41 % (1674401)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 7.65/1.41 % (1674401)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=4216217377:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 7.65/1.41 % (1674405)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2352582450:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 7.65/1.41 % (1674363)Instruction limit reached!
% 7.65/1.41 % (1674363)------------------------------
% 7.65/1.41 % (1674363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41 % (1674363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41 % (1674363)CaDiCaL version: 2.1.3
% 7.65/1.41 % (1674363)Termination reason: Instruction limit
% 7.65/1.41 % (1674363)Termination phase: Saturation
% 7.65/1.41 % (1674363)Time elapsed: 0.183 s
% 7.65/1.41 % (1674363)Peak memory usage: 12 MB
% 7.65/1.41 % (1674363)Instructions burned: 271 (million)
% 7.65/1.41 % (1674405)Refutation not found, incomplete strategy
% 7.65/1.41 % (1674405)------------------------------
% 7.65/1.41 % (1674405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41 % (1674405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41 % (1674405)CaDiCaL version: 2.1.3
% 7.65/1.41 % (1674405)Termination reason: Refutation not found, incomplete strategy
% 7.65/1.41 % (1674405)Time elapsed: 0.004 s
% 7.65/1.41 % (1674405)Peak memory usage: 12 MB
% 7.65/1.41 % (1674405)Instructions burned: 3 (million)
% 7.65/1.41 % (1674323)Instruction limit reached!
% 7.65/1.41 % (1674323)------------------------------
% 7.65/1.41 % (1674323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41 % (1674323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41 % (1674323)CaDiCaL version: 2.1.3
% 7.65/1.41 % (1674323)Termination reason: Instruction limit
% 7.65/1.41 % (1674323)Termination phase: Saturation
% 7.65/1.41 % (1674323)Time elapsed: 0.295 s
% 7.65/1.41 % (1674323)Peak memory usage: 12 MB
% 7.65/1.41 % (1674323)Instructions burned: 374 (million)
% 7.65/1.41 % (1674405)------------------------------
% 7.65/1.41 % (1674405)------------------------------
% 7.65/1.41 % (1674383)Instruction limit reached!
% 7.65/1.41 % (1674383)------------------------------
% 7.65/1.41 % (1674383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41 % (1674383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41 % (1674383)CaDiCaL version: 2.1.3
% 7.65/1.41 % (1674383)Termination reason: Instruction limit
% 7.65/1.41 % (1674383)Termination phase: Saturation
% 7.65/1.41 % (1674383)Time elapsed: 0.092 s
% 7.65/1.41 % (1674383)Peak memory usage: 12 MB
% 7.65/1.41 % (1674383)Instructions burned: 112 (million)
% 7.65/1.41 % (1674410)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=147890366:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/865Mi)
% 7.65/1.41 % (1674411)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3902866463:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/212Mi)
% 7.65/1.41 % (1674412)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3888129291:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 7.65/1.41 % (1674411)Refutation not found, incomplete strategy
% 7.65/1.41 % (1674411)------------------------------
% 7.65/1.41 % (1674411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41 % (1674411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.65/1.41 % (1674411)CaDiCaL version: 2.1.3
% 7.65/1.41 % (1674411)Termination reason: Refutation not found, incomplete strategy
% 7.65/1.41 % (1674411)Time elapsed: 0.001 s
% 7.65/1.41 % (1674411)Peak memory usage: 11 MB
% 7.65/1.41 % (1674411)Instructions burned: 1 (million)
% 7.65/1.41 % (1674411)------------------------------
% 7.65/1.41 % (1674411)------------------------------
% 7.65/1.41 % (1674412)Refutation not found, incomplete strategy
% 7.65/1.41 % (1674412)------------------------------
% 7.65/1.41 % (1674412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.65/1.41 % (1674412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.62 % (1674412)CaDiCaL version: 2.1.3
% 8.36/1.62 % (1674412)Termination reason: Refutation not found, incomplete strategy
% 8.36/1.62 % (1674412)Time elapsed: 0.001 s
% 8.36/1.62 % (1674412)Peak memory usage: 12 MB
% 8.36/1.62 % (1674412)------------------------------
% 8.36/1.62 % (1674412)------------------------------
% 8.36/1.62 % (1674413)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=607213078:st=1.5:i=346:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/346Mi)
% 8.36/1.62 % (1674413)Refutation not found, incomplete strategy
% 8.36/1.62 % (1674413)------------------------------
% 8.36/1.62 % (1674413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.62 % (1674413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.62 % (1674413)CaDiCaL version: 2.1.3
% 8.36/1.62 % (1674413)Termination reason: Refutation not found, incomplete strategy
% 8.36/1.62 % (1674413)Time elapsed: 0.002 s
% 8.36/1.62 % (1674413)Peak memory usage: 11 MB
% 8.36/1.62 % (1674413)Instructions burned: 1 (million)
% 8.36/1.62 % (1674413)------------------------------
% 8.36/1.62 % (1674413)------------------------------
% 8.36/1.62 % (1674418)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1982269869:i=75:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/75Mi)
% 8.36/1.62 % (1674417)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2533387554:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/152Mi)
% 8.36/1.62 % (1674420)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2246880102:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/387Mi)
% 8.36/1.62 % (1674420)Refutation not found, incomplete strategy
% 8.36/1.62 % (1674420)------------------------------
% 8.36/1.62 % (1674420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.62 % (1674420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.62 % (1674420)CaDiCaL version: 2.1.3
% 8.36/1.62 % (1674420)Termination reason: Refutation not found, incomplete strategy
% 8.36/1.62 % (1674420)Time elapsed: 0.002 s
% 8.36/1.62 % (1674420)Peak memory usage: 11 MB
% 8.36/1.62 % (1674420)Instructions burned: 1 (million)
% 8.36/1.62 % (1674420)------------------------------
% 8.36/1.62 % (1674420)------------------------------
% 8.36/1.62 % (1674418)Instruction limit reached!
% 8.36/1.62 % (1674418)------------------------------
% 8.36/1.62 % (1674418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.62 % (1674418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.62 % (1674418)CaDiCaL version: 2.1.3
% 8.36/1.62 % (1674418)Termination reason: Instruction limit
% 8.36/1.62 % (1674418)Termination phase: Saturation
% 8.36/1.62 % (1674418)Time elapsed: 0.044 s
% 8.36/1.62 % (1674418)Peak memory usage: 12 MB
% 8.36/1.62 % (1674418)Instructions burned: 76 (million)
% 8.36/1.62 % (1674425)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=187431436:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2990 on theBenchmark for (2990ds/148Mi)
% 8.36/1.62 % (1674427)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=961688108:i=161:piset=and:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/161Mi)
% 8.36/1.62 % (1674417)Instruction limit reached!
% 8.36/1.62 % (1674417)------------------------------
% 8.36/1.62 % (1674417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.62 % (1674417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.62 % (1674417)CaDiCaL version: 2.1.3
% 8.36/1.62 % (1674417)Termination reason: Instruction limit
% 8.36/1.62 % (1674417)Termination phase: Saturation
% 8.36/1.62 % (1674417)Time elapsed: 0.127 s
% 8.36/1.62 % (1674417)Peak memory usage: 12 MB
% 8.36/1.62 % (1674417)Instructions burned: 153 (million)
% 8.36/1.62 % (1674401)Instruction limit reached!
% 8.36/1.62 % (1674401)------------------------------
% 8.36/1.62 % (1674401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.62 % (1674401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.62 % (1674401)CaDiCaL version: 2.1.3
% 8.36/1.62 % (1674401)Termination reason: Instruction limit
% 8.36/1.62 % (1674401)Termination phase: Saturation
% 8.36/1.62 % (1674401)Time elapsed: 0.254 s
% 8.36/1.62 % (1674401)Peak memory usage: 13 MB
% 10.61/1.91 % (1674401)Instructions burned: 281 (million)
% 10.61/1.91 % (1674427)Instruction limit reached!
% 10.61/1.91 % (1674427)------------------------------
% 10.61/1.91 % (1674427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/1.91 % (1674427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/1.91 % (1674427)CaDiCaL version: 2.1.3
% 10.61/1.91 % (1674427)Termination reason: Instruction limit
% 10.61/1.91 % (1674427)Termination phase: Saturation
% 10.61/1.91 % (1674427)Time elapsed: 0.096 s
% 10.61/1.91 % (1674427)Peak memory usage: 12 MB
% 10.61/1.91 % (1674427)Instructions burned: 161 (million)
% 10.61/1.91 % (1674433)lrs+10_1_sil=128000:si=on:random_seed=311345010:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/888Mi)
% 10.61/1.91 % (1674433)Refutation not found, incomplete strategy
% 10.61/1.91 % (1674433)------------------------------
% 10.61/1.91 % (1674433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/1.91 % (1674433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/1.91 % (1674433)CaDiCaL version: 2.1.3
% 10.61/1.91 % (1674433)Termination reason: Refutation not found, incomplete strategy
% 10.61/1.91 % (1674433)Time elapsed: 0.002 s
% 10.61/1.91 % (1674433)Peak memory usage: 11 MB
% 10.61/1.91 % (1674433)Instructions burned: 1 (million)
% 10.61/1.91 % (1674433)------------------------------
% 10.61/1.91 % (1674433)------------------------------
% 10.61/1.91 % (1674425)Instruction limit reached!
% 10.61/1.91 % (1674425)------------------------------
% 10.61/1.91 % (1674425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/1.91 % (1674425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/1.91 % (1674425)CaDiCaL version: 2.1.3
% 10.61/1.91 % (1674425)Termination reason: Instruction limit
% 10.61/1.91 % (1674425)Termination phase: Saturation
% 10.61/1.91 % (1674425)Time elapsed: 0.127 s
% 10.61/1.91 % (1674425)Peak memory usage: 13 MB
% 10.61/1.91 % (1674425)Instructions burned: 148 (million)
% 10.61/1.91 % (1674439)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=676017861:i=88:s2at=3:nm=2:rtra=on:rawr=on_2989 on theBenchmark for (2989ds/88Mi)
% 10.61/1.91 % (1674438)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=1947739359:i=136:add=on:ins=4:rtra=on:sup=off_2989 on theBenchmark for (2989ds/136Mi)
% 10.61/1.91 % (1674438)Refutation not found, incomplete strategy
% 10.61/1.91 % (1674438)------------------------------
% 10.61/1.91 % (1674438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/1.91 % (1674438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/1.91 % (1674438)CaDiCaL version: 2.1.3
% 10.61/1.91 % (1674438)Termination reason: Refutation not found, incomplete strategy
% 10.61/1.91 % (1674438)Time elapsed: 0.004 s
% 10.61/1.91 % (1674438)Peak memory usage: 12 MB
% 10.61/1.91 % (1674438)Instructions burned: 3 (million)
% 10.61/1.91 % (1674441)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3953295784:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2989 on theBenchmark for (2989ds/93Mi)
% 10.61/1.91 % (1674438)------------------------------
% 10.61/1.91 % (1674438)------------------------------
% 10.61/1.91 % (1674378)Instruction limit reached!
% 10.61/1.91 % (1674378)------------------------------
% 10.61/1.91 % (1674378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.61/1.91 % (1674378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/1.91 % (1674378)CaDiCaL version: 2.1.3
% 10.61/1.91 % (1674378)Termination reason: Instruction limit
% 10.61/1.91 % (1674378)Termination phase: Saturation
% 10.61/1.91 % (1674378)Time elapsed: 0.408 s
% 10.61/1.91 % (1674378)Peak memory usage: 13 MB
% 10.61/1.91 % (1674378)Instructions burned: 1441 (million)
% 10.61/1.91 % (1674443)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3522082779:i=2186:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/2186Mi)
% 10.61/1.91 % (1674447)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1846297605:s2a=on:i=240:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/240Mi)
% 10.61/1.91 % (1674449)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3682947289:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/805Mi)
% 12.54/2.06 % (1674439)Instruction limit reached!
% 12.54/2.06 % (1674439)------------------------------
% 12.54/2.06 % (1674439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.54/2.06 % (1674439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.06 % (1674439)CaDiCaL version: 2.1.3
% 12.54/2.06 % (1674439)Termination reason: Instruction limit
% 12.54/2.06 % (1674439)Termination phase: Saturation
% 12.54/2.06 % (1674439)Time elapsed: 0.067 s
% 12.54/2.06 % (1674439)Peak memory usage: 13 MB
% 12.54/2.06 % (1674439)Instructions burned: 89 (million)
% 12.54/2.06 % (1674441)Instruction limit reached!
% 12.54/2.06 % (1674441)------------------------------
% 12.54/2.06 % (1674441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.54/2.06 % (1674441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.06 % (1674441)CaDiCaL version: 2.1.3
% 12.54/2.06 % (1674441)Termination reason: Instruction limit
% 12.54/2.06 % (1674441)Termination phase: Saturation
% 12.54/2.06 % (1674441)Time elapsed: 0.083 s
% 12.54/2.06 % (1674441)Peak memory usage: 12 MB
% 12.54/2.06 % (1674441)Instructions burned: 94 (million)
% 12.54/2.06 % (1674453)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 12.54/2.06 % (1674453)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=115124045:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2988 on theBenchmark for (2988ds/391Mi)
% 12.54/2.06 % (1674453)Refutation not found, incomplete strategy
% 12.54/2.06 % (1674453)------------------------------
% 12.54/2.06 % (1674453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.54/2.06 % (1674453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.06 % (1674453)CaDiCaL version: 2.1.3
% 12.54/2.06 % (1674453)Termination reason: Refutation not found, incomplete strategy
% 12.54/2.06 % (1674453)Time elapsed: 0.002 s
% 12.54/2.06 % (1674453)Peak memory usage: 11 MB
% 12.54/2.06 % (1674453)Instructions burned: 1 (million)
% 12.54/2.06 % (1674453)------------------------------
% 12.54/2.06 % (1674453)------------------------------
% 12.54/2.06 % (1674455)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2843108514:i=355:av=off:fsr=off:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/355Mi)
% 12.54/2.06 % (1674457)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3477224369:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/314Mi)
% 12.54/2.06 % (1674457)Refutation not found, incomplete strategy
% 12.54/2.06 % (1674457)------------------------------
% 12.54/2.06 % (1674457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.54/2.06 % (1674457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.06 % (1674457)CaDiCaL version: 2.1.3
% 12.54/2.06 % (1674457)Termination reason: Refutation not found, incomplete strategy
% 12.54/2.06 % (1674457)Time elapsed: 0.001 s
% 12.54/2.06 % (1674457)Peak memory usage: 11 MB
% 12.54/2.06 % (1674457)Instructions burned: 1 (million)
% 12.54/2.06 % (1674457)------------------------------
% 12.54/2.06 % (1674457)------------------------------
% 12.54/2.06 % (1674460)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=237891549:s2a=on:i=251:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/251Mi)
% 12.54/2.06 % (1674447)Instruction limit reached!
% 12.54/2.06 % (1674447)------------------------------
% 12.54/2.06 % (1674447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.54/2.06 % (1674447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.06 % (1674447)CaDiCaL version: 2.1.3
% 12.54/2.06 % (1674447)Termination reason: Instruction limit
% 12.54/2.06 % (1674447)Termination phase: Saturation
% 12.54/2.06 % (1674447)Time elapsed: 0.160 s
% 12.54/2.06 % (1674447)Peak memory usage: 13 MB
% 12.54/2.06 % (1674447)Instructions burned: 240 (million)
% 12.54/2.06 % (1674462)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=4270133001:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2986 on theBenchmark for (2986ds/2470Mi)
% 12.54/2.06 % (1674455)Instruction limit reached!
% 13.09/2.20 % (1674455)------------------------------
% 13.09/2.20 % (1674455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.09/2.20 % (1674455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.20 % (1674455)CaDiCaL version: 2.1.3
% 13.09/2.20 % (1674455)Termination reason: Instruction limit
% 13.09/2.20 % (1674455)Termination phase: Saturation
% 13.09/2.20 % (1674455)Time elapsed: 0.144 s
% 13.09/2.20 % (1674455)Peak memory usage: 12 MB
% 13.09/2.20 % (1674455)Instructions burned: 356 (million)
% 13.09/2.20 % (1674464)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2092409510:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2986 on theBenchmark for (2986ds/673Mi)
% 13.09/2.20 % (1674460)Instruction limit reached!
% 13.09/2.20 % (1674460)------------------------------
% 13.09/2.20 % (1674460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.09/2.20 % (1674460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.20 % (1674460)CaDiCaL version: 2.1.3
% 13.09/2.20 % (1674460)Termination reason: Instruction limit
% 13.09/2.20 % (1674460)Termination phase: Saturation
% 13.09/2.20 % (1674460)Time elapsed: 0.205 s
% 13.09/2.20 % (1674460)Peak memory usage: 13 MB
% 13.09/2.20 % (1674460)Instructions burned: 252 (million)
% 13.09/2.20 % (1674410)Instruction limit reached!
% 13.09/2.20 % (1674410)------------------------------
% 13.09/2.20 % (1674410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.09/2.20 % (1674410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.20 % (1674410)CaDiCaL version: 2.1.3
% 13.09/2.20 % (1674410)Termination reason: Instruction limit
% 13.09/2.20 % (1674410)Termination phase: Saturation
% 13.09/2.20 % (1674410)Time elapsed: 0.651 s
% 13.09/2.20 % (1674410)Peak memory usage: 15 MB
% 13.09/2.20 % (1674410)Instructions burned: 866 (million)
% 13.09/2.20 % (1674472)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1074633811:i=116:ep=RSTC:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/116Mi)
% 13.09/2.20 % (1674473)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3831601672:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 13.09/2.20 % (1674464)Instruction limit reached!
% 13.09/2.20 % (1674464)------------------------------
% 13.09/2.20 % (1674464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.09/2.20 % (1674464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.20 % (1674464)CaDiCaL version: 2.1.3
% 13.09/2.20 % (1674464)Termination reason: Instruction limit
% 13.09/2.20 % (1674464)Termination phase: Saturation
% 13.09/2.20 % (1674464)Time elapsed: 0.229 s
% 13.09/2.20 % (1674464)Peak memory usage: 13 MB
% 13.09/2.20 % (1674464)Instructions burned: 673 (million)
% 13.09/2.20 % (1674472)Instruction limit reached!
% 13.09/2.20 % (1674472)------------------------------
% 13.09/2.20 % (1674472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.09/2.20 % (1674472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.20 % (1674472)CaDiCaL version: 2.1.3
% 13.09/2.20 % (1674472)Termination reason: Instruction limit
% 13.09/2.20 % (1674472)Termination phase: Saturation
% 13.09/2.20 % (1674472)Time elapsed: 0.089 s
% 13.09/2.20 % (1674472)Peak memory usage: 12 MB
% 13.09/2.20 % (1674472)Instructions burned: 116 (million)
% 13.09/2.20 % (1674449)Instruction limit reached!
% 13.09/2.20 % (1674449)------------------------------
% 13.09/2.20 % (1674449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.09/2.20 % (1674449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.20 % (1674449)CaDiCaL version: 2.1.3
% 13.09/2.20 % (1674449)Termination reason: Instruction limit
% 13.09/2.20 % (1674449)Termination phase: Saturation
% 13.09/2.20 % (1674449)Time elapsed: 0.473 s
% 13.09/2.20 % (1674449)Peak memory usage: 14 MB
% 13.09/2.20 % (1674449)Instructions burned: 807 (million)
% 13.09/2.20 % (1674476)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=1169430914:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/30Mi)
% 13.09/2.20 % (1674478)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 14.13/2.50 % (1674478)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=687335715:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2983 on theBenchmark for (2983ds/39Mi)
% 14.13/2.50 % (1674479)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1144119381:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/365Mi)
% 14.13/2.50 % (1674476)Instruction limit reached!
% 14.13/2.50 % (1674476)------------------------------
% 14.13/2.50 % (1674476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.50 % (1674476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.50 % (1674476)CaDiCaL version: 2.1.3
% 14.13/2.50 % (1674476)Termination reason: Instruction limit
% 14.13/2.50 % (1674476)Termination phase: Saturation
% 14.13/2.50 % (1674476)Time elapsed: 0.021 s
% 14.13/2.50 % (1674476)Peak memory usage: 12 MB
% 14.13/2.50 % (1674476)Instructions burned: 31 (million)
% 14.13/2.50 % (1674487)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2567050283:i=158:av=off:rtra=on_2983 on theBenchmark for (2983ds/158Mi)
% 14.13/2.50 % (1674478)Instruction limit reached!
% 14.13/2.50 % (1674478)------------------------------
% 14.13/2.50 % (1674478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.50 % (1674478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.50 % (1674478)CaDiCaL version: 2.1.3
% 14.13/2.50 % (1674478)Termination reason: Instruction limit
% 14.13/2.50 % (1674478)Termination phase: Saturation
% 14.13/2.50 % (1674478)Time elapsed: 0.036 s
% 14.13/2.50 % (1674478)Peak memory usage: 12 MB
% 14.13/2.50 % (1674478)Instructions burned: 40 (million)
% 14.13/2.50 % (1674490)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
% 14.13/2.50 % (1674490)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=1407129348:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/252Mi)
% 14.13/2.50 % (1674473)Instruction limit reached!
% 14.13/2.50 % (1674473)------------------------------
% 14.13/2.50 % (1674473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.50 % (1674473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.50 % (1674473)CaDiCaL version: 2.1.3
% 14.13/2.50 % (1674473)Termination reason: Instruction limit
% 14.13/2.50 % (1674473)Termination phase: Saturation
% 14.13/2.50 % (1674473)Time elapsed: 0.212 s
% 14.13/2.50 % (1674473)Peak memory usage: 12 MB
% 14.13/2.50 % (1674473)Instructions burned: 271 (million)
% 14.13/2.50 % (1674487)Instruction limit reached!
% 14.13/2.50 % (1674487)------------------------------
% 14.13/2.50 % (1674487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.50 % (1674487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.50 % (1674487)CaDiCaL version: 2.1.3
% 14.13/2.50 % (1674487)Termination reason: Instruction limit
% 14.13/2.50 % (1674487)Termination phase: Saturation
% 14.13/2.50 % (1674487)Time elapsed: 0.098 s
% 14.13/2.50 % (1674487)Peak memory usage: 12 MB
% 14.13/2.50 % (1674487)Instructions burned: 159 (million)
% 14.13/2.50 % (1674492)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2971010510:i=213:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/213Mi)
% 14.13/2.50 % (1674492)Refutation not found, incomplete strategy
% 14.13/2.50 % (1674492)------------------------------
% 14.13/2.50 % (1674492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.50 % (1674492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.50 % (1674492)CaDiCaL version: 2.1.3
% 14.13/2.50 % (1674492)Termination reason: Refutation not found, incomplete strategy
% 14.13/2.50 % (1674492)Time elapsed: 0.001 s
% 14.13/2.50 % (1674492)Peak memory usage: 12 MB
% 14.13/2.50 % (1674492)Instructions burned: 1 (million)
% 14.13/2.50 % (1674492)------------------------------
% 14.13/2.50 % (1674492)------------------------------
% 14.13/2.50 % (1674493)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=3754949124:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/160Mi)
% 14.13/2.50 % (1674493)Refutation not found, incomplete strategy
% 15.07/2.58 % (1674493)------------------------------
% 15.07/2.58 % (1674493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.58 % (1674493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.58 % (1674493)CaDiCaL version: 2.1.3
% 15.07/2.58 % (1674493)Termination reason: Refutation not found, incomplete strategy
% 15.07/2.58 % (1674493)Time elapsed: 0.001 s
% 15.07/2.58 % (1674493)Peak memory usage: 12 MB
% 15.07/2.58 % (1674493)Instructions burned: 1 (million)
% 15.07/2.58 % (1674493)------------------------------
% 15.07/2.58 % (1674493)------------------------------
% 15.07/2.58 % (1674490)Instruction limit reached!
% 15.07/2.58 % (1674490)------------------------------
% 15.07/2.58 % (1674490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.58 % (1674490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.58 % (1674490)CaDiCaL version: 2.1.3
% 15.07/2.58 % (1674490)Termination reason: Instruction limit
% 15.07/2.58 % (1674490)Termination phase: Saturation
% 15.07/2.58 % (1674490)Time elapsed: 0.097 s
% 15.07/2.58 % (1674490)Peak memory usage: 13 MB
% 15.07/2.58 % (1674490)Instructions burned: 254 (million)
% 15.07/2.58 % (1674497)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 15.07/2.58 % (1674497)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=571606194:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2981 on theBenchmark for (2981ds/237Mi)
% 15.07/2.58 % (1674497)Refutation not found, incomplete strategy
% 15.07/2.58 % (1674497)------------------------------
% 15.07/2.58 % (1674497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.58 % (1674497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.58 % (1674497)CaDiCaL version: 2.1.3
% 15.07/2.58 % (1674497)Termination reason: Refutation not found, incomplete strategy
% 15.07/2.58 % (1674497)Time elapsed: 0.001 s
% 15.07/2.58 % (1674497)Peak memory usage: 11 MB
% 15.07/2.58 % (1674497)------------------------------
% 15.07/2.58 % (1674497)------------------------------
% 15.07/2.58 % (1674496)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=237328780:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/763Mi)
% 15.07/2.58 % (1674498)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1990202591:s2a=on:i=386:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/386Mi)
% 15.07/2.58 % (1674500)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1769067878:i=300:piset=and:nm=32:rtra=on_2981 on theBenchmark for (2981ds/300Mi)
% 15.07/2.58 % (1674479)Instruction limit reached!
% 15.07/2.58 % (1674479)------------------------------
% 15.07/2.58 % (1674479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.58 % (1674479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.58 % (1674479)CaDiCaL version: 2.1.3
% 15.07/2.58 % (1674479)Termination reason: Instruction limit
% 15.07/2.58 % (1674479)Termination phase: Saturation
% 15.07/2.58 % (1674479)Time elapsed: 0.234 s
% 15.07/2.58 % (1674479)Peak memory usage: 13 MB
% 15.07/2.58 % (1674479)Instructions burned: 365 (million)
% 15.07/2.58 % (1674504)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3359528637:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/567Mi)
% 15.07/2.58 % (1674504)Refutation not found, incomplete strategy
% 15.07/2.58 % (1674504)------------------------------
% 15.07/2.58 % (1674504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.07/2.58 % (1674504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.07/2.58 % (1674504)CaDiCaL version: 2.1.3
% 15.07/2.58 % (1674504)Termination reason: Refutation not found, incomplete strategy
% 15.07/2.58 % (1674504)Time elapsed: 0.001 s
% 15.07/2.58 % (1674504)Peak memory usage: 11 MB
% 15.07/2.58 % (1674504)Instructions burned: 1 (million)
% 15.07/2.58 % (1674504)------------------------------
% 15.07/2.58 % (1674504)------------------------------
% 15.07/2.58 % (1674506)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=4141211152:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2980 on theBenchmark for (2980ds/379Mi)
% 15.07/2.58 % (1674506)Refutation not found, incomplete strategy
% 16.38/2.66 % (1674506)------------------------------
% 16.38/2.66 % (1674506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.38/2.66 % (1674506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.38/2.66 % (1674506)CaDiCaL version: 2.1.3
% 16.38/2.66 % (1674506)Termination reason: Refutation not found, incomplete strategy
% 16.38/2.66 % (1674506)Time elapsed: 0.001 s
% 16.38/2.66 % (1674506)Peak memory usage: 11 MB
% 16.38/2.66 % (1674506)Instructions burned: 1 (million)
% 16.38/2.66 % (1674506)------------------------------
% 16.38/2.66 % (1674506)------------------------------
% 16.38/2.66 % (1674508)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1819752350:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2980 on theBenchmark for (2980ds/429Mi)
% 16.38/2.66 % (1674500)Instruction limit reached!
% 16.38/2.66 % (1674500)------------------------------
% 16.38/2.66 % (1674500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.38/2.66 % (1674500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.38/2.66 % (1674500)CaDiCaL version: 2.1.3
% 16.38/2.66 % (1674500)Termination reason: Instruction limit
% 16.38/2.66 % (1674500)Termination phase: Saturation
% 16.38/2.66 % (1674500)Time elapsed: 0.128 s
% 16.38/2.66 % (1674500)Peak memory usage: 12 MB
% 16.38/2.66 % (1674500)Instructions burned: 301 (million)
% 16.38/2.66 % (1674510)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1284365417:i=478:bd=all:rtra=on_2980 on theBenchmark for (2980ds/478Mi)
% 16.38/2.66 % (1674510)Refutation not found, incomplete strategy
% 16.38/2.66 % (1674510)------------------------------
% 16.38/2.66 % (1674510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.38/2.66 % (1674510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.38/2.66 % (1674510)CaDiCaL version: 2.1.3
% 16.38/2.66 % (1674510)Termination reason: Refutation not found, incomplete strategy
% 16.38/2.66 % (1674510)Time elapsed: 0.001 s
% 16.38/2.66 % (1674510)Peak memory usage: 12 MB
% 16.38/2.66 % (1674510)Instructions burned: 2 (million)
% 16.38/2.66 % (1674510)------------------------------
% 16.38/2.66 % (1674510)------------------------------
% 16.38/2.66 % (1674512)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3704326765:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2979 on theBenchmark for (2979ds/445Mi)
% 16.38/2.66 % (1674498)Instruction limit reached!
% 16.38/2.66 % (1674498)------------------------------
% 16.38/2.66 % (1674498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.38/2.66 % (1674498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.38/2.66 % (1674498)CaDiCaL version: 2.1.3
% 16.38/2.66 % (1674498)Termination reason: Instruction limit
% 16.38/2.66 % (1674498)Termination phase: Saturation
% 16.38/2.66 % (1674498)Time elapsed: 0.303 s
% 16.38/2.66 % (1674498)Peak memory usage: 12 MB
% 16.38/2.66 % (1674498)Instructions burned: 386 (million)
% 16.38/2.66 % (1674515)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=34403994:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/71Mi)
% 16.38/2.66 % (1674512)Instruction limit reached!
% 16.38/2.66 % (1674512)------------------------------
% 16.38/2.66 % (1674512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.38/2.66 % (1674512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.38/2.66 % (1674512)CaDiCaL version: 2.1.3
% 16.38/2.66 % (1674512)Termination reason: Instruction limit
% 16.38/2.66 % (1674512)Termination phase: Saturation
% 16.38/2.66 % (1674512)Time elapsed: 0.202 s
% 16.38/2.66 % (1674512)Peak memory usage: 14 MB
% 16.38/2.66 % (1674512)Instructions burned: 445 (million)
% 16.38/2.66 % (1674515)Instruction limit reached!
% 16.38/2.66 % (1674515)------------------------------
% 16.38/2.66 % (1674515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.38/2.66 % (1674515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.38/2.66 % (1674515)CaDiCaL version: 2.1.3
% 16.38/2.66 % (1674515)Termination reason: Instruction limit
% 16.38/2.66 % (1674515)Termination phase: Saturation
% 16.38/2.66 % (1674515)Time elapsed: 0.048 s
% 16.38/2.66 % (1674515)Peak memory usage: 12 MB
% 16.38/2.66 % (1674515)Instructions burned: 72 (million)
% 16.38/2.66 % (1674519)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=815674827:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/4980Mi)
% 17.84/2.93 % (1674519)Refutation not found, incomplete strategy
% 17.84/2.93 % (1674519)------------------------------
% 17.84/2.93 % (1674519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.84/2.93 % (1674519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.84/2.93 % (1674519)CaDiCaL version: 2.1.3
% 17.84/2.93 % (1674519)Termination reason: Refutation not found, incomplete strategy
% 17.84/2.93 % (1674519)Time elapsed: 0.002 s
% 17.84/2.93 % (1674519)Peak memory usage: 12 MB
% 17.84/2.93 % (1674519)Instructions burned: 1 (million)
% 17.84/2.93 % (1674519)------------------------------
% 17.84/2.93 % (1674519)------------------------------
% 17.84/2.93 % (1674518)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3564584513:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/302Mi)
% 17.84/2.93 % (1674518)Refutation not found, incomplete strategy
% 17.84/2.93 % (1674518)------------------------------
% 17.84/2.93 % (1674518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.84/2.93 % (1674518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.84/2.93 % (1674518)CaDiCaL version: 2.1.3
% 17.84/2.93 % (1674518)Termination reason: Refutation not found, incomplete strategy
% 17.84/2.93 % (1674518)Time elapsed: 0.002 s
% 17.84/2.93 % (1674518)Peak memory usage: 11 MB
% 17.84/2.93 % (1674518)Instructions burned: 1 (million)
% 17.84/2.93 % (1674518)------------------------------
% 17.84/2.93 % (1674518)------------------------------
% 17.84/2.93 % (1674521)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 17.84/2.93 % (1674521)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 17.84/2.93 % (1674521)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2848176249:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2977 on theBenchmark for (2977ds/100Mi)
% 17.84/2.93 % (1674523)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=1182164618:i=76:piset=equals:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/76Mi)
% 17.84/2.93 % (1674496)Instruction limit reached!
% 17.84/2.93 % (1674496)------------------------------
% 17.84/2.93 % (1674496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.84/2.93 % (1674496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.84/2.93 % (1674496)CaDiCaL version: 2.1.3
% 17.84/2.93 % (1674496)Termination reason: Instruction limit
% 17.84/2.93 % (1674496)Termination phase: Saturation
% 17.84/2.93 % (1674496)Time elapsed: 0.454 s
% 17.84/2.93 % (1674496)Peak memory usage: 14 MB
% 17.84/2.93 % (1674496)Instructions burned: 763 (million)
% 17.84/2.93 % (1674521)Instruction limit reached!
% 17.84/2.93 % (1674521)------------------------------
% 17.84/2.93 % (1674521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.84/2.93 % (1674521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.84/2.93 % (1674521)CaDiCaL version: 2.1.3
% 17.84/2.93 % (1674521)Termination reason: Instruction limit
% 17.84/2.93 % (1674521)Termination phase: Saturation
% 17.84/2.93 % (1674521)Time elapsed: 0.042 s
% 17.84/2.93 % (1674521)Peak memory usage: 12 MB
% 17.84/2.93 % (1674521)Instructions burned: 102 (million)
% 17.84/2.93 % (1674526)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1435932603:i=289:rtra=on_2976 on theBenchmark for (2976ds/289Mi)
% 17.84/2.93 % (1674526)Refutation not found, incomplete strategy
% 17.84/2.93 % (1674526)------------------------------
% 17.84/2.93 % (1674526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.84/2.93 % (1674526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.84/2.93 % (1674526)CaDiCaL version: 2.1.3
% 17.84/2.93 % (1674526)Termination reason: Refutation not found, incomplete strategy
% 17.84/2.93 % (1674526)Time elapsed: 0.002 s
% 17.84/2.93 % (1674526)Peak memory usage: 12 MB
% 17.84/2.93 % (1674526)Instructions burned: 2 (million)
% 17.84/2.93 % (1674526)------------------------------
% 17.84/2.93 % (1674526)------------------------------
% 17.84/2.93 % (1674508)Instruction limit reached!
% 17.84/2.93 % (1674508)------------------------------
% 17.84/3.02 % (1674508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.84/3.02 % (1674508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.84/3.02 % (1674508)CaDiCaL version: 2.1.3
% 17.84/3.02 % (1674508)Termination reason: Instruction limit
% 17.84/3.02 % (1674508)Termination phase: Saturation
% 17.84/3.02 % (1674508)Time elapsed: 0.344 s
% 17.84/3.02 % (1674508)Peak memory usage: 12 MB
% 17.84/3.02 % (1674508)Instructions burned: 429 (million)
% 17.84/3.02 % (1674531)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 17.84/3.02 % (1674531)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=455950704:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2976 on theBenchmark for (2976ds/372Mi)
% 17.84/3.02 % (1674528)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=471933803:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2976 on theBenchmark for (2976ds/493Mi)
% 17.84/3.02 % (1674530)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=3256552594:cond=on:i=34:hud=10:nm=10:rtra=on_2976 on theBenchmark for (2976ds/34Mi)
% 17.84/3.02 % (1674531)Refutation not found, incomplete strategy
% 17.84/3.02 % (1674531)------------------------------
% 17.84/3.02 % (1674531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.84/3.02 % (1674531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.84/3.02 % (1674531)CaDiCaL version: 2.1.3
% 17.84/3.02 % (1674531)Termination reason: Refutation not found, incomplete strategy
% 17.84/3.02 % (1674531)Time elapsed: 0.002 s
% 17.84/3.02 % (1674531)Peak memory usage: 12 MB
% 17.84/3.02 % (1674531)Instructions burned: 3 (million)
% 17.84/3.02 % (1674531)------------------------------
% 17.84/3.02 % (1674531)------------------------------
% 17.84/3.02 % (1674523)Instruction limit reached!
% 17.84/3.02 % (1674523)------------------------------
% 17.84/3.02 % (1674523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.84/3.02 % (1674523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.84/3.02 % (1674523)CaDiCaL version: 2.1.3
% 17.84/3.02 % (1674523)Termination reason: Instruction limit
% 17.84/3.02 % (1674523)Termination phase: Saturation
% 17.84/3.02 % (1674523)Time elapsed: 0.064 s
% 17.84/3.02 % (1674523)Peak memory usage: 12 MB
% 17.84/3.02 % (1674523)Instructions burned: 77 (million)
% 17.84/3.02 % (1674536)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=4217298319:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2976 on theBenchmark for (2976ds/670Mi)
% 17.84/3.02 % (1674530)Instruction limit reached!
% 17.84/3.02 % (1674530)------------------------------
% 17.84/3.02 % (1674530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.84/3.02 % (1674530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.84/3.02 % (1674530)CaDiCaL version: 2.1.3
% 17.84/3.02 % (1674530)Termination reason: Instruction limit
% 17.84/3.02 % (1674530)Termination phase: Saturation
% 17.84/3.02 % (1674530)Time elapsed: 0.034 s
% 17.84/3.02 % (1674530)Peak memory usage: 12 MB
% 17.84/3.02 % (1674530)Instructions burned: 35 (million)
% 17.84/3.02 % (1674537)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=38378611:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/647Mi)
% 17.84/3.02 % (1674537)Refutation not found, incomplete strategy
% 17.84/3.02 % (1674537)------------------------------
% 17.84/3.02 % (1674537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.84/3.02 % (1674537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.84/3.02 % (1674537)CaDiCaL version: 2.1.3
% 17.84/3.02 % (1674537)Termination reason: Refutation not found, incomplete strategy
% 17.84/3.02 % (1674537)Time elapsed: 0.001 s
% 17.84/3.02 % (1674537)Peak memory usage: 11 MB
% 17.84/3.02 % (1674537)------------------------------
% 17.84/3.02 % (1674537)------------------------------
% 17.84/3.02 % (1674539)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=1698058726:i=857:add=off:kws=frequency:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/857Mi)
% 20.49/3.25 % (1674541)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=1306719722:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2975 on theBenchmark for (2975ds/693Mi)
% 20.49/3.25 % (1674443)Instruction limit reached!
% 20.49/3.25 % (1674443)------------------------------
% 20.49/3.25 % (1674443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.49/3.25 % (1674443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.49/3.25 % (1674443)CaDiCaL version: 2.1.3
% 20.49/3.25 % (1674443)Termination reason: Instruction limit
% 20.49/3.25 % (1674443)Termination phase: Saturation
% 20.49/3.25 % (1674443)Time elapsed: 1.419 s
% 20.49/3.25 % (1674443)Peak memory usage: 13 MB
% 20.49/3.25 % (1674443)Instructions burned: 2186 (million)
% 20.49/3.25 % (1674544)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1280329215:i=285:hud=10:bd=all:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/285Mi)
% 20.49/3.25 % (1674544)Refutation not found, incomplete strategy
% 20.49/3.25 % (1674544)------------------------------
% 20.49/3.25 % (1674544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.49/3.25 % (1674544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.49/3.25 % (1674544)CaDiCaL version: 2.1.3
% 20.49/3.25 % (1674544)Termination reason: Refutation not found, incomplete strategy
% 20.49/3.25 % (1674544)Time elapsed: 0.002 s
% 20.49/3.25 % (1674544)Peak memory usage: 11 MB
% 20.49/3.25 % (1674544)Instructions burned: 1 (million)
% 20.49/3.25 % (1674544)------------------------------
% 20.49/3.25 % (1674544)------------------------------
% 20.49/3.25 % (1674546)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 20.49/3.25 % (1674536)Instruction limit reached!
% 20.49/3.25 % (1674536)------------------------------
% 20.49/3.25 % (1674536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.49/3.25 % (1674536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.49/3.25 % (1674536)CaDiCaL version: 2.1.3
% 20.49/3.25 % (1674536)Termination reason: Instruction limit
% 20.49/3.25 % (1674536)Termination phase: Saturation
% 20.49/3.25 % (1674536)Time elapsed: 0.244 s
% 20.49/3.25 % (1674536)Peak memory usage: 12 MB
% 20.49/3.25 % (1674536)Instructions burned: 670 (million)
% 20.49/3.25 % (1674546)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=1168628663:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2974 on theBenchmark for (2974ds/52Mi)
% 20.49/3.25 % (1674546)Instruction limit reached!
% 20.49/3.25 % (1674546)------------------------------
% 20.49/3.25 % (1674546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.49/3.25 % (1674546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.49/3.25 % (1674546)CaDiCaL version: 2.1.3
% 20.49/3.25 % (1674546)Termination reason: Instruction limit
% 20.49/3.25 % (1674546)Termination phase: Saturation
% 20.49/3.25 % (1674546)Time elapsed: 0.026 s
% 20.49/3.25 % (1674546)Peak memory usage: 12 MB
% 20.49/3.25 % (1674546)Instructions burned: 53 (million)
% 20.49/3.25 % (1674547)dis+10_1_si=on:random_seed=3661349938:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2973 on theBenchmark for (2973ds/407Mi)
% 20.49/3.25 % (1674547)Refutation not found, incomplete strategy
% 20.49/3.25 % (1674547)------------------------------
% 20.49/3.25 % (1674547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.49/3.25 % (1674547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.49/3.25 % (1674547)CaDiCaL version: 2.1.3
% 20.49/3.25 % (1674547)Termination reason: Refutation not found, incomplete strategy
% 20.49/3.25 % (1674547)Time elapsed: 0.001 s
% 20.49/3.25 % (1674547)Peak memory usage: 11 MB
% 20.49/3.25 % (1674547)Instructions burned: 1 (million)
% 20.49/3.25 % (1674547)------------------------------
% 20.49/3.25 % (1674547)------------------------------
% 20.49/3.25 % (1674549)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=1046962357:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/2240Mi)
% 20.49/3.25 % (1674551)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3180065318:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/336Mi)
% 22.48/3.65 % (1674551)Refutation not found, incomplete strategy
% 22.48/3.65 % (1674551)------------------------------
% 22.48/3.65 % (1674551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.48/3.65 % (1674551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/3.65 % (1674551)CaDiCaL version: 2.1.3
% 22.48/3.65 % (1674551)Termination reason: Refutation not found, incomplete strategy
% 22.48/3.65 % (1674551)Time elapsed: 0.001 s
% 22.48/3.65 % (1674551)Peak memory usage: 11 MB
% 22.48/3.65 % (1674551)------------------------------
% 22.48/3.65 % (1674551)------------------------------
% 22.48/3.65 % (1674554)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1622384548:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2973 on theBenchmark for (2973ds/1142Mi)
% 22.48/3.65 % (1674554)Refutation not found, incomplete strategy
% 22.48/3.65 % (1674554)------------------------------
% 22.48/3.65 % (1674554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.48/3.65 % (1674554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/3.65 % (1674554)CaDiCaL version: 2.1.3
% 22.48/3.65 % (1674554)Termination reason: Refutation not found, incomplete strategy
% 22.48/3.65 % (1674554)Time elapsed: 0.012 s
% 22.48/3.65 % (1674554)Peak memory usage: 12 MB
% 22.48/3.65 % (1674554)Instructions burned: 19 (million)
% 22.48/3.65 % (1674554)------------------------------
% 22.48/3.65 % (1674554)------------------------------
% 22.48/3.65 % (1674528)Instruction limit reached!
% 22.48/3.65 % (1674528)------------------------------
% 22.48/3.65 % (1674528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.48/3.65 % (1674528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/3.65 % (1674528)CaDiCaL version: 2.1.3
% 22.48/3.65 % (1674528)Termination reason: Instruction limit
% 22.48/3.65 % (1674528)Termination phase: Saturation
% 22.48/3.65 % (1674528)Time elapsed: 0.382 s
% 22.48/3.65 % (1674528)Peak memory usage: 12 MB
% 22.48/3.65 % (1674528)Instructions burned: 494 (million)
% 22.48/3.65 % (1674556)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=617806143:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/376Mi)
% 22.48/3.65 % (1674556)Refutation not found, incomplete strategy
% 22.48/3.65 % (1674556)------------------------------
% 22.48/3.65 % (1674556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.48/3.65 % (1674556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/3.65 % (1674556)CaDiCaL version: 2.1.3
% 22.48/3.65 % (1674556)Termination reason: Refutation not found, incomplete strategy
% 22.48/3.65 % (1674556)Time elapsed: 0.001 s
% 22.48/3.65 % (1674556)Peak memory usage: 12 MB
% 22.48/3.65 % (1674556)Instructions burned: 1 (million)
% 22.48/3.65 % (1674556)------------------------------
% 22.48/3.65 % (1674556)------------------------------
% 22.48/3.65 % (1674559)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 22.48/3.65 % (1674557)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1749122554:i=766:bd=all:rtra=on_2972 on theBenchmark for (2972ds/766Mi)
% 22.48/3.65 % (1674557)Refutation not found, incomplete strategy
% 22.48/3.65 % (1674557)------------------------------
% 22.48/3.65 % (1674557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.48/3.65 % (1674557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.48/3.65 % (1674557)CaDiCaL version: 2.1.3
% 22.48/3.65 % (1674557)Termination reason: Refutation not found, incomplete strategy
% 22.48/3.65 % (1674557)Time elapsed: 0.004 s
% 22.48/3.65 % (1674557)Peak memory usage: 12 MB
% 22.48/3.65 % (1674557)Instructions burned: 2 (million)
% 22.48/3.65 % (1674557)------------------------------
% 22.48/3.65 % (1674557)------------------------------
% 22.48/3.65 % (1674559)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2575609842:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2972 on theBenchmark for (2972ds/959Mi)
% 22.48/3.65 % (1674559)Refutation not found, incomplete strategy
% 22.48/3.65 % (1674559)------------------------------
% 22.48/3.65 % (1674559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.48/3.65 % (1674559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.78 % (1674559)CaDiCaL version: 2.1.3
% 22.80/3.78 % (1674559)Termination reason: Refutation not found, incomplete strategy
% 22.80/3.78 % (1674559)Time elapsed: 0.002 s
% 22.80/3.78 % (1674559)Peak memory usage: 11 MB
% 22.80/3.78 % (1674559)------------------------------
% 22.80/3.78 % (1674559)------------------------------
% 22.80/3.78 % (1674562)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=584127387:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2972 on theBenchmark for (2972ds/6359Mi)
% 22.80/3.78 % (1674563)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=527272519:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2972 on theBenchmark for (2972ds/35Mi)
% 22.80/3.78 % (1674563)Refutation not found, incomplete strategy
% 22.80/3.78 % (1674563)------------------------------
% 22.80/3.78 % (1674563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.80/3.78 % (1674563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.78 % (1674563)CaDiCaL version: 2.1.3
% 22.80/3.78 % (1674563)Termination reason: Refutation not found, incomplete strategy
% 22.80/3.78 % (1674563)Time elapsed: 0.001 s
% 22.80/3.78 % (1674563)Peak memory usage: 11 MB
% 22.80/3.78 % (1674563)------------------------------
% 22.80/3.78 % (1674563)------------------------------
% 22.80/3.78 % (1674566)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1494017678:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2971 on theBenchmark for (2971ds/53Mi)
% 22.80/3.78 % (1674566)Instruction limit reached!
% 22.80/3.78 % (1674566)------------------------------
% 22.80/3.78 % (1674566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.80/3.78 % (1674566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.78 % (1674566)CaDiCaL version: 2.1.3
% 22.80/3.78 % (1674566)Termination reason: Instruction limit
% 22.80/3.78 % (1674566)Termination phase: Saturation
% 22.80/3.78 % (1674566)Time elapsed: 0.033 s
% 22.80/3.78 % (1674566)Peak memory usage: 12 MB
% 22.80/3.78 % (1674566)Instructions burned: 54 (million)
% 22.80/3.78 % (1674568)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2731657561:s2a=on:i=876:s2at=6:nm=2:rtra=on_2971 on theBenchmark for (2971ds/876Mi)
% 22.80/3.78 % (1674541)Instruction limit reached!
% 22.80/3.78 % (1674541)------------------------------
% 22.80/3.78 % (1674541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.80/3.78 % (1674541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.78 % (1674541)CaDiCaL version: 2.1.3
% 22.80/3.78 % (1674541)Termination reason: Instruction limit
% 22.80/3.78 % (1674541)Termination phase: Saturation
% 22.80/3.78 % (1674541)Time elapsed: 0.476 s
% 22.80/3.78 % (1674541)Peak memory usage: 12 MB
% 22.80/3.78 % (1674541)Instructions burned: 693 (million)
% 22.80/3.78 % (1674571)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4146104360:i=57:ep=R:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/57Mi)
% 22.80/3.78 % (1674539)Instruction limit reached!
% 22.80/3.78 % (1674539)------------------------------
% 22.80/3.78 % (1674539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.80/3.78 % (1674539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.78 % (1674539)CaDiCaL version: 2.1.3
% 22.80/3.78 % (1674539)Termination reason: Instruction limit
% 22.80/3.78 % (1674539)Termination phase: Saturation
% 22.80/3.78 % (1674539)Time elapsed: 0.559 s
% 22.80/3.78 % (1674539)Peak memory usage: 12 MB
% 22.80/3.78 % (1674539)Instructions burned: 858 (million)
% 22.80/3.78 % (1674571)Instruction limit reached!
% 22.80/3.78 % (1674571)------------------------------
% 22.80/3.78 % (1674571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.80/3.78 % (1674571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.78 % (1674571)CaDiCaL version: 2.1.3
% 22.80/3.78 % (1674571)Termination reason: Instruction limit
% 22.80/3.78 % (1674571)Termination phase: Saturation
% 22.80/3.78 % (1674571)Time elapsed: 0.051 s
% 22.80/3.78 % (1674571)Peak memory usage: 12 MB
% 22.80/3.78 % (1674571)Instructions burned: 57 (million)
% 22.80/3.78 % (1674576)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 24.29/3.90 % (1674576)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=918018320:i=306:bd=all:rtra=on_2970 on theBenchmark for (2970ds/306Mi)
% 24.29/3.90 % (1674576)Refutation not found, incomplete strategy
% 24.29/3.90 % (1674576)------------------------------
% 24.29/3.90 % (1674576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.29/3.90 % (1674576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.29/3.90 % (1674576)CaDiCaL version: 2.1.3
% 24.29/3.90 % (1674576)Termination reason: Refutation not found, incomplete strategy
% 24.29/3.90 % (1674576)Time elapsed: 0.003 s
% 24.29/3.90 % (1674576)Peak memory usage: 12 MB
% 24.29/3.90 % (1674576)Instructions burned: 2 (million)
% 24.29/3.90 % (1674576)------------------------------
% 24.29/3.90 % (1674576)------------------------------
% 24.29/3.90 % (1674577)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=533919733:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/262Mi)
% 24.29/3.90 % (1674577)Refutation not found, incomplete strategy
% 24.29/3.90 % (1674577)------------------------------
% 24.29/3.90 % (1674577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.29/3.90 % (1674577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.29/3.90 % (1674577)CaDiCaL version: 2.1.3
% 24.29/3.90 % (1674577)Termination reason: Refutation not found, incomplete strategy
% 24.29/3.90 % (1674577)Time elapsed: 0.002 s
% 24.29/3.90 % (1674577)Peak memory usage: 11 MB
% 24.29/3.90 % (1674577)Instructions burned: 1 (million)
% 24.29/3.90 % (1674577)------------------------------
% 24.29/3.90 % (1674577)------------------------------
% 24.29/3.90 % (1674579)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 24.29/3.90 % (1674579)ott+1002_16_sil=128000:si=on:random_seed=3562985330:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/409Mi)
% 24.29/3.90 % (1674581)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1570043750:s2a=on:i=381:rtra=on_2969 on theBenchmark for (2969ds/381Mi)
% 24.29/3.90 % (1674579)Instruction limit reached!
% 24.29/3.90 % (1674579)------------------------------
% 24.29/3.90 % (1674579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.29/3.90 % (1674579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.29/3.90 % (1674579)CaDiCaL version: 2.1.3
% 24.29/3.90 % (1674579)Termination reason: Instruction limit
% 24.29/3.90 % (1674579)Termination phase: Saturation
% 24.29/3.90 % (1674579)Time elapsed: 0.257 s
% 24.29/3.90 % (1674579)Peak memory usage: 13 MB
% 24.29/3.90 % (1674579)Instructions burned: 411 (million)
% 24.29/3.90 % (1674584)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3069462431:cond=on:i=324:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/324Mi)
% 24.29/3.90 % (1674581)Instruction limit reached!
% 24.29/3.90 % (1674581)------------------------------
% 24.29/3.90 % (1674581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.29/3.90 % (1674581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.29/3.90 % (1674581)CaDiCaL version: 2.1.3
% 24.29/3.90 % (1674581)Termination reason: Instruction limit
% 24.29/3.90 % (1674581)Termination phase: Saturation
% 24.29/3.90 % (1674581)Time elapsed: 0.263 s
% 24.29/3.90 % (1674581)Peak memory usage: 12 MB
% 24.29/3.90 % (1674581)Instructions burned: 381 (million)
% 24.29/3.90 % (1674586)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3294994361:i=240:kws=inv_precedence:rtra=on_2966 on theBenchmark for (2966ds/240Mi)
% 24.29/3.90 % (1674586)Refutation not found, incomplete strategy
% 24.29/3.90 % (1674586)------------------------------
% 24.29/3.90 % (1674586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.29/3.90 % (1674586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.29/3.90 % (1674586)CaDiCaL version: 2.1.3
% 24.29/3.90 % (1674586)Termination reason: Refutation not found, incomplete strategy
% 24.29/3.90 % (1674586)Time elapsed: 0.003 s
% 24.29/3.90 % (1674586)Peak memory usage: 12 MB
% 24.29/3.90 % (1674586)Instructions burned: 1 (million)
% 24.29/3.90 % (1674586)------------------------------
% 24.29/3.90 % (1674586)------------------------------
% 24.29/3.90 % (1674588)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 26.62/4.12 % (1674549)Instruction limit reached!
% 26.62/4.12 % (1674549)------------------------------
% 26.62/4.12 % (1674549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.62/4.12 % (1674549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.62/4.12 % (1674549)CaDiCaL version: 2.1.3
% 26.62/4.12 % (1674549)Termination reason: Instruction limit
% 26.62/4.12 % (1674549)Termination phase: Saturation
% 26.62/4.12 % (1674549)Time elapsed: 0.742 s
% 26.62/4.12 % (1674549)Peak memory usage: 17 MB
% 26.62/4.12 % (1674549)Instructions burned: 2241 (million)
% 26.62/4.12 % (1674588)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=294537936:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/124Mi)
% 26.62/4.12 % (1674589)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3730150760:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2965 on theBenchmark for (2965ds/223Mi)
% 26.62/4.12 % (1674462)Instruction limit reached!
% 26.62/4.12 % (1674462)------------------------------
% 26.62/4.12 % (1674462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.62/4.12 % (1674462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.62/4.12 % (1674462)CaDiCaL version: 2.1.3
% 26.62/4.12 % (1674462)Termination reason: Instruction limit
% 26.62/4.12 % (1674462)Termination phase: Saturation
% 26.62/4.12 % (1674462)Time elapsed: 2.086 s
% 26.62/4.12 % (1674462)Peak memory usage: 18 MB
% 26.62/4.12 % (1674462)Instructions burned: 2470 (million)
% 26.62/4.12 % (1674592)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=653933797:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2965 on theBenchmark for (2965ds/282Mi)
% 26.62/4.12 % (1674589)Instruction limit reached!
% 26.62/4.12 % (1674589)------------------------------
% 26.62/4.12 % (1674589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.62/4.12 % (1674589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.62/4.12 % (1674589)CaDiCaL version: 2.1.3
% 26.62/4.12 % (1674589)Termination reason: Instruction limit
% 26.62/4.12 % (1674589)Termination phase: Saturation
% 26.62/4.12 % (1674589)Time elapsed: 0.072 s
% 26.62/4.12 % (1674589)Peak memory usage: 13 MB
% 26.62/4.12 % (1674589)Instructions burned: 225 (million)
% 26.62/4.12 % (1674588)Instruction limit reached!
% 26.62/4.12 % (1674588)------------------------------
% 26.62/4.12 % (1674588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.62/4.12 % (1674588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.62/4.12 % (1674588)CaDiCaL version: 2.1.3
% 26.62/4.12 % (1674588)Termination reason: Instruction limit
% 26.62/4.12 % (1674588)Termination phase: Saturation
% 26.62/4.12 % (1674588)Time elapsed: 0.092 s
% 26.62/4.12 % (1674588)Peak memory usage: 12 MB
% 26.62/4.12 % (1674588)Instructions burned: 124 (million)
% 26.62/4.12 % (1674584)Instruction limit reached!
% 26.62/4.12 % (1674584)------------------------------
% 26.62/4.12 % (1674584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.62/4.12 % (1674584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.62/4.12 % (1674584)CaDiCaL version: 2.1.3
% 26.62/4.12 % (1674584)Termination reason: Instruction limit
% 26.62/4.12 % (1674584)Termination phase: Saturation
% 26.62/4.12 % (1674584)Time elapsed: 0.193 s
% 26.62/4.12 % (1674584)Peak memory usage: 12 MB
% 26.62/4.12 % (1674584)Instructions burned: 326 (million)
% 26.62/4.12 % (1674595)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=1343316436:i=88:s2at=3:nm=2:rtra=on:rawr=on_2964 on theBenchmark for (2964ds/88Mi)
% 26.62/4.12 % (1674594)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2758255102:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/464Mi)
% 26.62/4.12 % (1674594)Refutation not found, incomplete strategy
% 26.62/4.12 % (1674594)------------------------------
% 26.62/4.12 % (1674594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.62/4.12 % (1674594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.62/4.12 % (1674594)CaDiCaL version: 2.1.3
% 26.62/4.12 % (1674594)Termination reason: Refutation not found, incomplete strategy
% 26.62/4.12 % (1674594)Time elapsed: 0.002 s
% 26.62/4.12 % (1674594)Peak memory usage: 11 MB
% 26.62/4.12 % (1674594)Instructions burned: 1 (million)
% 26.62/4.12 % (1674594)------------------------------
% 28.50/4.34 % (1674594)------------------------------
% 28.50/4.34 % (1674597)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1490503916:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2964 on theBenchmark for (2964ds/280Mi)
% 28.50/4.34 % (1674595)Instruction limit reached!
% 28.50/4.34 % (1674595)------------------------------
% 28.50/4.34 % (1674595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.50/4.34 % (1674595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.50/4.34 % (1674595)CaDiCaL version: 2.1.3
% 28.50/4.34 % (1674595)Termination reason: Instruction limit
% 28.50/4.34 % (1674595)Termination phase: Saturation
% 28.50/4.34 % (1674595)Time elapsed: 0.036 s
% 28.50/4.34 % (1674595)Peak memory usage: 12 MB
% 28.50/4.34 % (1674595)Instructions burned: 89 (million)
% 28.50/4.34 % (1674599)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 28.50/4.34 % (1674599)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1166860946:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/4386Mi)
% 28.50/4.34 % (1674568)Instruction limit reached!
% 28.50/4.34 % (1674568)------------------------------
% 28.50/4.34 % (1674568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.50/4.34 % (1674568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.50/4.34 % (1674568)CaDiCaL version: 2.1.3
% 28.50/4.34 % (1674568)Termination reason: Instruction limit
% 28.50/4.34 % (1674568)Termination phase: Saturation
% 28.50/4.34 % (1674568)Time elapsed: 0.685 s
% 28.50/4.34 % (1674568)Peak memory usage: 13 MB
% 28.50/4.34 % (1674568)Instructions burned: 876 (million)
% 28.50/4.34 % (1674601)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 28.50/4.34 % (1674601)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 28.50/4.34 % (1674601)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=1793811392:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2964 on theBenchmark for (2964ds/483Mi)
% 28.50/4.34 % (1674601)Refutation not found, incomplete strategy
% 28.50/4.34 % (1674601)------------------------------
% 28.50/4.34 % (1674601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.50/4.34 % (1674601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.50/4.34 % (1674601)CaDiCaL version: 2.1.3
% 28.50/4.34 % (1674601)Termination reason: Refutation not found, incomplete strategy
% 28.50/4.34 % (1674601)Time elapsed: 0.001 s
% 28.50/4.34 % (1674601)Peak memory usage: 12 MB
% 28.50/4.34 % (1674601)Instructions burned: 1 (million)
% 28.50/4.34 % (1674601)------------------------------
% 28.50/4.34 % (1674601)------------------------------
% 28.50/4.34 % (1674605)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=189767465:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2964 on theBenchmark for (2964ds/176Mi)
% 28.50/4.34 % (1674603)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3749009466:i=73:rtra=on_2964 on theBenchmark for (2964ds/73Mi)
% 28.50/4.34 % (1674603)Refutation not found, incomplete strategy
% 28.50/4.34 % (1674603)------------------------------
% 28.50/4.34 % (1674603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.50/4.34 % (1674603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.50/4.34 % (1674603)CaDiCaL version: 2.1.3
% 28.50/4.34 % (1674603)Termination reason: Refutation not found, incomplete strategy
% 28.50/4.34 % (1674603)Time elapsed: 0.003 s
% 28.50/4.34 % (1674603)Peak memory usage: 12 MB
% 28.50/4.34 % (1674603)Instructions burned: 2 (million)
% 28.50/4.34 % (1674603)------------------------------
% 28.50/4.34 % (1674603)------------------------------
% 28.50/4.34 % (1674608)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 28.50/4.34 % (1674608)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3089347593:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2963 on theBenchmark for (2963ds/39Mi)
% 28.50/4.34 % (1674608)Instruction limit reached!
% 30.51/4.71 % (1674608)------------------------------
% 30.51/4.71 % (1674608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.51/4.71 % (1674608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.51/4.71 % (1674608)CaDiCaL version: 2.1.3
% 30.51/4.71 % (1674608)Termination reason: Instruction limit
% 30.51/4.71 % (1674608)Termination phase: Saturation
% 30.51/4.71 % (1674608)Time elapsed: 0.021 s
% 30.51/4.71 % (1674608)Peak memory usage: 12 MB
% 30.51/4.71 % (1674608)Instructions burned: 40 (million)
% 30.51/4.71 % (1674610)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2271050810:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2963 on theBenchmark for (2963ds/708Mi)
% 30.51/4.71 % (1674605)Instruction limit reached!
% 30.51/4.71 % (1674605)------------------------------
% 30.51/4.71 % (1674605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.51/4.71 % (1674605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.51/4.71 % (1674605)CaDiCaL version: 2.1.3
% 30.51/4.71 % (1674605)Termination reason: Instruction limit
% 30.51/4.71 % (1674605)Termination phase: Saturation
% 30.51/4.71 % (1674605)Time elapsed: 0.092 s
% 30.51/4.71 % (1674605)Peak memory usage: 12 MB
% 30.51/4.71 % (1674605)Instructions burned: 177 (million)
% 30.51/4.71 % (1674612)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 30.51/4.71 % (1674612)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=3674544897:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/252Mi)
% 30.51/4.71 % (1674592)Instruction limit reached!
% 30.51/4.71 % (1674592)------------------------------
% 30.51/4.71 % (1674592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.51/4.71 % (1674592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.51/4.71 % (1674592)CaDiCaL version: 2.1.3
% 30.51/4.71 % (1674592)Termination reason: Instruction limit
% 30.51/4.71 % (1674592)Termination phase: Saturation
% 30.51/4.71 % (1674592)Time elapsed: 0.251 s
% 30.51/4.71 % (1674592)Peak memory usage: 14 MB
% 30.51/4.71 % (1674592)Instructions burned: 282 (million)
% 30.51/4.71 % (1674614)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2040060474:i=823:fsr=off:rtra=on_2962 on theBenchmark for (2962ds/823Mi)
% 30.51/4.71 % (1674597)Instruction limit reached!
% 30.51/4.71 % (1674597)------------------------------
% 30.51/4.71 % (1674597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.51/4.71 % (1674597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.51/4.71 % (1674597)CaDiCaL version: 2.1.3
% 30.51/4.71 % (1674597)Termination reason: Instruction limit
% 30.51/4.71 % (1674597)Termination phase: Saturation
% 30.51/4.71 % (1674597)Time elapsed: 0.242 s
% 30.51/4.71 % (1674597)Peak memory usage: 12 MB
% 30.51/4.71 % (1674597)Instructions burned: 280 (million)
% 30.51/4.71 % (1674618)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 30.51/4.71 % (1674618)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=915528909:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2962 on theBenchmark for (2962ds/16202Mi)
% 30.51/4.71 % (1674618)Refutation not found, incomplete strategy
% 30.51/4.71 % (1674618)------------------------------
% 30.51/4.71 % (1674618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.51/4.71 % (1674618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.51/4.71 % (1674618)CaDiCaL version: 2.1.3
% 30.51/4.71 % (1674618)Termination reason: Refutation not found, incomplete strategy
% 30.51/4.71 % (1674618)Time elapsed: 0.001 s
% 30.51/4.71 % (1674618)Peak memory usage: 11 MB
% 30.51/4.71 % (1674618)Instructions burned: 1 (million)
% 30.51/4.71 % (1674618)------------------------------
% 30.51/4.71 % (1674618)------------------------------
% 30.51/4.71 % (1674621)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=96456980:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/300Mi)
% 30.51/4.71 % (1674612)Instruction limit reached!
% 30.51/4.71 % (1674612)------------------------------
% 30.51/4.71 % (1674612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.42/4.82 % (1674612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/4.82 % (1674612)CaDiCaL version: 2.1.3
% 31.42/4.82 % (1674612)Termination reason: Instruction limit
% 31.42/4.82 % (1674612)Termination phase: Saturation
% 31.42/4.82 % (1674612)Time elapsed: 0.155 s
% 31.42/4.82 % (1674612)Peak memory usage: 12 MB
% 31.42/4.82 % (1674612)Instructions burned: 252 (million)
% 31.42/4.82 % (1674624)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 31.42/4.82 % (1674624)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 31.42/4.82 % (1674624)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2966948094:i=177:add=on:bd=preordered:rtra=on:rawr=on_2961 on theBenchmark for (2961ds/177Mi)
% 31.42/4.82 % (1674621)Instruction limit reached!
% 31.42/4.82 % (1674621)------------------------------
% 31.42/4.82 % (1674621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.42/4.82 % (1674621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/4.82 % (1674621)CaDiCaL version: 2.1.3
% 31.42/4.82 % (1674621)Termination reason: Instruction limit
% 31.42/4.82 % (1674621)Termination phase: Saturation
% 31.42/4.82 % (1674621)Time elapsed: 0.204 s
% 31.42/4.82 % (1674621)Peak memory usage: 12 MB
% 31.42/4.82 % (1674621)Instructions burned: 300 (million)
% 31.42/4.82 % (1674624)Instruction limit reached!
% 31.42/4.82 % (1674624)------------------------------
% 31.42/4.82 % (1674624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.42/4.82 % (1674624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/4.82 % (1674624)CaDiCaL version: 2.1.3
% 31.42/4.82 % (1674624)Termination reason: Instruction limit
% 31.42/4.82 % (1674624)Termination phase: Saturation
% 31.42/4.82 % (1674624)Time elapsed: 0.141 s
% 31.42/4.82 % (1674624)Peak memory usage: 13 MB
% 31.42/4.82 % (1674624)Instructions burned: 178 (million)
% 31.42/4.82 % (1674627)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 31.42/4.82 % (1674627)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 31.42/4.82 % (1674626)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1388181006:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/715Mi)
% 31.42/4.82 % (1674626)Refutation not found, incomplete strategy
% 31.42/4.82 % (1674626)------------------------------
% 31.42/4.82 % (1674626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.42/4.82 % (1674626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/4.82 % (1674626)CaDiCaL version: 2.1.3
% 31.42/4.82 % (1674626)Termination reason: Refutation not found, incomplete strategy
% 31.42/4.82 % (1674626)Time elapsed: 0.002 s
% 31.42/4.82 % (1674626)Peak memory usage: 11 MB
% 31.42/4.82 % (1674626)Instructions burned: 2 (million)
% 31.42/4.82 % (1674626)------------------------------
% 31.42/4.82 % (1674626)------------------------------
% 31.42/4.82 % (1674627)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=3206546959:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2959 on theBenchmark for (2959ds/230Mi)
% 31.42/4.82 % (1674627)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 31.42/4.82 % (1674614)Instruction limit reached!
% 31.42/4.82 % (1674614)------------------------------
% 31.42/4.82 % (1674614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.42/4.82 % (1674614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.42/4.82 % (1674614)CaDiCaL version: 2.1.3
% 31.42/4.82 % (1674614)Termination reason: Instruction limit
% 31.42/4.82 % (1674614)Termination phase: Saturation
% 31.42/4.82 % (1674614)Time elapsed: 0.334 s
% 31.42/4.82 % (1674614)Peak memory usage: 14 MB
% 31.42/4.82 % (1674614)Instructions burned: 823 (million)
% 31.42/4.82 % (1674610)Instruction limit reached!
% 31.42/4.82 % (1674610)------------------------------
% 31.42/4.82 % (1674610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.42/4.82 % (1674610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/4.95 % (1674610)CaDiCaL version: 2.1.3
% 32.31/4.95 % (1674610)Termination reason: Instruction limit
% 32.31/4.95 % (1674610)Termination phase: Saturation
% 32.31/4.95 % (1674610)Time elapsed: 0.409 s
% 32.31/4.95 % (1674610)Peak memory usage: 12 MB
% 32.31/4.95 % (1674610)Instructions burned: 710 (million)
% 32.31/4.95 % (1674631)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 32.31/4.95 % (1674630)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3300872415:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2959 on theBenchmark for (2959ds/606Mi)
% 32.31/4.95 % (1674631)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2361313329:lrd=on:i=841:nm=0:rtra=on_2959 on theBenchmark for (2959ds/841Mi)
% 32.31/4.95 % (1674632)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1968186988:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2959 on theBenchmark for (2959ds/445Mi)
% 32.31/4.95 % (1674627)Instruction limit reached!
% 32.31/4.95 % (1674627)------------------------------
% 32.31/4.95 % (1674627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.31/4.95 % (1674627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/4.95 % (1674627)CaDiCaL version: 2.1.3
% 32.31/4.95 % (1674627)Termination reason: Instruction limit
% 32.31/4.95 % (1674627)Termination phase: Saturation
% 32.31/4.95 % (1674627)Time elapsed: 0.190 s
% 32.31/4.95 % (1674627)Peak memory usage: 12 MB
% 32.31/4.95 % (1674627)Instructions burned: 231 (million)
% 32.31/4.95 % (1674636)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3880172865:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2957 on theBenchmark for (2957ds/71Mi)
% 32.31/4.95 % (1674636)Instruction limit reached!
% 32.31/4.95 % (1674636)------------------------------
% 32.31/4.95 % (1674636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.31/4.95 % (1674636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/4.95 % (1674636)CaDiCaL version: 2.1.3
% 32.31/4.95 % (1674636)Termination reason: Instruction limit
% 32.31/4.96 % (1674636)Termination phase: Saturation
% 32.31/4.96 % (1674636)Time elapsed: 0.053 s
% 32.31/4.96 % (1674636)Peak memory usage: 12 MB
% 32.31/4.96 % (1674636)Instructions burned: 71 (million)
% 32.31/4.96 % (1674638)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
% 32.31/4.96 % (1674638)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 32.31/4.96 % (1674638)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=380706287:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2956 on theBenchmark for (2956ds/100Mi)
% 32.31/4.96 % (1674631)Instruction limit reached!
% 32.31/4.96 % (1674631)------------------------------
% 32.31/4.96 % (1674631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.31/4.96 % (1674631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/4.96 % (1674631)CaDiCaL version: 2.1.3
% 32.31/4.96 % (1674631)Termination reason: Instruction limit
% 32.31/4.96 % (1674631)Termination phase: Saturation
% 32.31/4.96 % (1674631)Time elapsed: 0.335 s
% 32.31/4.96 % (1674631)Peak memory usage: 13 MB
% 32.31/4.96 % (1674631)Instructions burned: 843 (million)
% 32.31/4.96 % (1674640)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 32.31/4.96 % (1674638)Instruction limit reached!
% 32.31/4.96 % (1674638)------------------------------
% 32.31/4.96 % (1674638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.31/4.96 % (1674638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.31/4.96 % (1674638)CaDiCaL version: 2.1.3
% 32.31/4.96 % (1674638)Termination reason: Instruction limit
% 32.31/4.96 % (1674638)Termination phase: Saturation
% 32.31/4.96 % (1674638)Time elapsed: 0.078 s
% 32.31/4.96 % (1674638)Peak memory usage: 12 MB
% 32.31/4.96 % (1674638)Instructions burned: 101 (million)
% 32.31/4.96 % (1674640)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=4116725816:i=1352:add=on:aac=none:rtra=on_2955 on theBenchmark for (2955ds/1352Mi)
% 34.62/5.29 % (1674640)Refutation not found, incomplete strategy
% 34.62/5.29 % (1674640)------------------------------
% 34.62/5.29 % (1674640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.62/5.29 % (1674640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.62/5.29 % (1674640)CaDiCaL version: 2.1.3
% 34.62/5.29 % (1674640)Termination reason: Refutation not found, incomplete strategy
% 34.62/5.29 % (1674640)Time elapsed: 0.002 s
% 34.62/5.29 % (1674640)Peak memory usage: 12 MB
% 34.62/5.29 % (1674640)Instructions burned: 3 (million)
% 34.62/5.29 % (1674640)------------------------------
% 34.62/5.29 % (1674640)------------------------------
% 34.62/5.29 % (1674632)Instruction limit reached!
% 34.62/5.29 % (1674632)------------------------------
% 34.62/5.29 % (1674632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.62/5.29 % (1674632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.62/5.29 % (1674632)CaDiCaL version: 2.1.3
% 34.62/5.29 % (1674632)Termination reason: Instruction limit
% 34.62/5.29 % (1674632)Termination phase: Saturation
% 34.62/5.29 % (1674632)Time elapsed: 0.359 s
% 34.62/5.29 % (1674632)Peak memory usage: 14 MB
% 34.62/5.29 % (1674632)Instructions burned: 446 (million)
% 34.62/5.29 % (1674642)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=1322012928:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2955 on theBenchmark for (2955ds/646Mi)
% 34.62/5.29 % (1674644)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3938552971:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2955 on theBenchmark for (2955ds/984Mi)
% 34.62/5.29 % (1674644)Refutation not found, incomplete strategy
% 34.62/5.29 % (1674644)------------------------------
% 34.62/5.29 % (1674644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.62/5.29 % (1674644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.62/5.29 % (1674644)CaDiCaL version: 2.1.3
% 34.62/5.29 % (1674644)Termination reason: Refutation not found, incomplete strategy
% 34.62/5.29 % (1674644)Time elapsed: 0.001 s
% 34.62/5.29 % (1674644)Peak memory usage: 12 MB
% 34.62/5.29 % (1674644)Instructions burned: 2 (million)
% 34.62/5.29 % (1674643)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=683278586:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2955 on theBenchmark for (2955ds/1924Mi)
% 34.62/5.29 % (1674644)------------------------------
% 34.62/5.29 % (1674644)------------------------------
% 34.62/5.29 % (1674643)Refutation not found, incomplete strategy
% 34.62/5.29 % (1674643)------------------------------
% 34.62/5.29 % (1674643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.62/5.29 % (1674643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.62/5.29 % (1674643)CaDiCaL version: 2.1.3
% 34.62/5.29 % (1674643)Termination reason: Refutation not found, incomplete strategy
% 34.62/5.29 % (1674643)Time elapsed: 0.001 s
% 34.62/5.29 % (1674643)Peak memory usage: 11 MB
% 34.62/5.29 % (1674643)Instructions burned: 1 (million)
% 34.62/5.29 % (1674643)------------------------------
% 34.62/5.29 % (1674643)------------------------------
% 34.62/5.29 % (1674648)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=400602684:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2955 on theBenchmark for (2955ds/592Mi)
% 34.62/5.29 % (1674649)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=848518425:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2954 on theBenchmark for (2954ds/872Mi)
% 34.62/5.29 % (1674649)Refutation not found, incomplete strategy
% 34.62/5.29 % (1674649)------------------------------
% 34.62/5.29 % (1674649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.62/5.29 % (1674649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.62/5.29 % (1674649)CaDiCaL version: 2.1.3
% 34.62/5.29 % (1674649)Termination reason: Refutation not found, incomplete strategy
% 34.62/5.29 % (1674649)Time elapsed: 0.001 s
% 34.62/5.29 % (1674649)Peak memory usage: 11 MB
% 34.62/5.29 % (1674649)Instructions burned: 1 (million)
% 34.62/5.29 % (1674649)------------------------------
% 34.62/5.29 % (1674649)------------------------------
% 34.62/5.29 % (1674652)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 36.63/5.65 % (1674652)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=2157333533:i=999:add=on:rtra=on_2954 on theBenchmark for (2954ds/999Mi)
% 36.63/5.65 % (1674630)Instruction limit reached!
% 36.63/5.65 % (1674630)------------------------------
% 36.63/5.65 % (1674630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.65 % (1674630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.65 % (1674630)CaDiCaL version: 2.1.3
% 36.63/5.65 % (1674630)Termination reason: Instruction limit
% 36.63/5.65 % (1674630)Termination phase: Saturation
% 36.63/5.65 % (1674630)Time elapsed: 0.477 s
% 36.63/5.65 % (1674630)Peak memory usage: 13 MB
% 36.63/5.65 % (1674630)Instructions burned: 606 (million)
% 36.63/5.65 % (1674654)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 36.63/5.65 % (1674654)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=3740053328:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2954 on theBenchmark for (2954ds/244Mi)
% 36.63/5.65 % (1674654)Refutation not found, incomplete strategy
% 36.63/5.65 % (1674654)------------------------------
% 36.63/5.65 % (1674654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.65 % (1674654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.65 % (1674654)CaDiCaL version: 2.1.3
% 36.63/5.65 % (1674654)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.65 % (1674654)Time elapsed: 0.002 s
% 36.63/5.65 % (1674654)Peak memory usage: 11 MB
% 36.63/5.65 % (1674654)Instructions burned: 3 (million)
% 36.63/5.65 % (1674654)------------------------------
% 36.63/5.65 % (1674654)------------------------------
% 36.63/5.65 % (1674656)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1871010743:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2953 on theBenchmark for (2953ds/113Mi)
% 36.63/5.65 % (1674656)Refutation not found, incomplete strategy
% 36.63/5.65 % (1674656)------------------------------
% 36.63/5.65 % (1674656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.65 % (1674656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.65 % (1674656)CaDiCaL version: 2.1.3
% 36.63/5.65 % (1674656)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.65 % (1674656)Time elapsed: 0.002 s
% 36.63/5.65 % (1674656)Peak memory usage: 12 MB
% 36.63/5.65 % (1674656)Instructions burned: 2 (million)
% 36.63/5.65 % (1674656)------------------------------
% 36.63/5.65 % (1674656)------------------------------
% 36.63/5.65 % (1674658)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4029538107:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2953 on theBenchmark for (2953ds/7795Mi)
% 36.63/5.65 % (1674658)Refutation not found, incomplete strategy
% 36.63/5.65 % (1674658)------------------------------
% 36.63/5.65 % (1674658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.65 % (1674658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.65 % (1674658)CaDiCaL version: 2.1.3
% 36.63/5.65 % (1674658)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.65 % (1674658)Time elapsed: 0.001 s
% 36.63/5.65 % (1674658)Peak memory usage: 11 MB
% 36.63/5.65 % (1674658)------------------------------
% 36.63/5.65 % (1674658)------------------------------
% 36.63/5.65 % (1674660)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1396894345:st=2:i=5026:sd=1:rtra=on:ss=axioms_2953 on theBenchmark for (2953ds/5026Mi)
% 36.63/5.65 % (1674660)Refutation not found, incomplete strategy
% 36.63/5.65 % (1674660)------------------------------
% 36.63/5.65 % (1674660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.65 % (1674660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.65 % (1674660)CaDiCaL version: 2.1.3
% 36.63/5.65 % (1674660)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.65 % (1674660)Time elapsed: 0.002 s
% 36.63/5.65 % (1674660)Peak memory usage: 12 MB
% 36.63/5.65 % (1674660)------------------------------
% 36.63/5.65 % (1674660)------------------------------
% 36.63/5.65 % (1674662)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 36.63/5.66 % (1674662)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1304455041:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2953 on theBenchmark for (2953ds/763Mi)
% 36.63/5.66 % (1674662)Refutation not found, incomplete strategy
% 36.63/5.66 % (1674662)------------------------------
% 36.63/5.66 % (1674662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.66 % (1674662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.66 % (1674662)CaDiCaL version: 2.1.3
% 36.63/5.66 % (1674662)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.66 % (1674662)Time elapsed: 0.001 s
% 36.63/5.66 % (1674662)Peak memory usage: 11 MB
% 36.63/5.66 % (1674662)Instructions burned: 1 (million)
% 36.63/5.66 % (1674662)------------------------------
% 36.63/5.66 % (1674662)------------------------------
% 36.63/5.66 % (1674664)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1671693614:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2952 on theBenchmark for (2952ds/1144Mi)
% 36.63/5.67 % (1674664)Refutation not found, incomplete strategy
% 36.63/5.67 % (1674664)------------------------------
% 36.63/5.67 % (1674664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.67 % (1674664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.67 % (1674664)CaDiCaL version: 2.1.3
% 36.63/5.67 % (1674664)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.67 % (1674664)Time elapsed: 0.001 s
% 36.63/5.67 % (1674664)Peak memory usage: 11 MB
% 36.63/5.67 % (1674664)------------------------------
% 36.63/5.67 % (1674664)------------------------------
% 36.63/5.67 % (1674666)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 36.63/5.67 % (1674666)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=4151251567:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2952 on theBenchmark for (2952ds/52Mi)
% 36.63/5.67 % (1674642)Instruction limit reached!
% 36.63/5.67 % (1674642)------------------------------
% 36.63/5.67 % (1674642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.67 % (1674642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.67 % (1674642)CaDiCaL version: 2.1.3
% 36.63/5.67 % (1674642)Termination reason: Instruction limit
% 36.63/5.67 % (1674642)Termination phase: Saturation
% 36.63/5.67 % (1674642)Time elapsed: 0.341 s
% 36.63/5.67 % (1674642)Peak memory usage: 14 MB
% 36.63/5.67 % (1674642)Instructions burned: 646 (million)
% 36.63/5.67 % (1674666)Instruction limit reached!
% 36.63/5.67 % (1674666)------------------------------
% 36.63/5.67 % (1674666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.67 % (1674666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.67 % (1674666)CaDiCaL version: 2.1.3
% 36.63/5.67 % (1674666)Termination reason: Instruction limit
% 36.63/5.67 % (1674666)Termination phase: Saturation
% 36.63/5.67 % (1674666)Time elapsed: 0.046 s
% 36.63/5.67 % (1674666)Peak memory usage: 12 MB
% 36.63/5.67 % (1674666)Instructions burned: 53 (million)
% 36.63/5.67 % (1674669)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=1364641426:i=1724:fsr=off:rtra=on:fe=abstraction_2951 on theBenchmark for (2951ds/1724Mi)
% 36.63/5.67 % (1674670)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=3236162904:i=439:add=on:slsql=off:rtra=on:ntd=on_2951 on theBenchmark for (2951ds/439Mi)
% 36.63/5.67 % (1674648)Instruction limit reached!
% 36.63/5.67 % (1674648)------------------------------
% 36.63/5.67 % (1674648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.67 % (1674648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.67 % (1674648)CaDiCaL version: 2.1.3
% 36.63/5.67 % (1674648)Termination reason: Instruction limit
% 36.63/5.67 % (1674648)Termination phase: Saturation
% 36.63/5.67 % (1674648)Time elapsed: 0.475 s
% 36.63/5.67 % (1674648)Peak memory usage: 13 MB
% 36.63/5.67 % (1674648)Instructions burned: 592 (million)
% 36.63/5.67 % (1674682)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2147308355:i=6395:sd=1:rtra=on:ss=axioms_2949 on theBenchmark for (2949ds/6395Mi)
% 36.63/5.67 % (1674682)Refutation not found, incomplete strategy
% 36.63/5.67 % (1674682)------------------------------
% 36.63/5.67 % (1674682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.67 % (1674682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.67 % (1674682)CaDiCaL version: 2.1.3
% 36.63/5.67 % (1674682)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.67 % (1674682)Time elapsed: 0.002 s
% 36.63/5.67 % (1674682)Peak memory usage: 11 MB
% 36.63/5.67 % (1674682)Instructions burned: 1 (million)
% 36.63/5.67 % (1674682)------------------------------
% 36.63/5.67 % (1674682)------------------------------
% 36.63/5.67 % (1674684)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 36.63/5.67 % (1674684)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3003956:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2949 on theBenchmark for (2949ds/6762Mi)
% 36.63/5.67 % (1674684)Refutation not found, incomplete strategy
% 36.63/5.67 % (1674684)------------------------------
% 36.63/5.67 % (1674684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.67 % (1674684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.67 % (1674684)CaDiCaL version: 2.1.3
% 36.63/5.67 % (1674684)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.67 % (1674684)Time elapsed: 0.001 s
% 36.63/5.67 % (1674684)Peak memory usage: 11 MB
% 36.63/5.67 % (1674684)------------------------------
% 36.63/5.67 % (1674684)------------------------------
% 36.63/5.67 % (1674686)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 36.63/5.67 % (1674686)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=764502259:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2949 on theBenchmark for (2949ds/376Mi)
% 36.63/5.67 % (1674670)Instruction limit reached!
% 36.63/5.67 % (1674670)------------------------------
% 36.63/5.67 % (1674670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.67 % (1674670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.67 % (1674670)CaDiCaL version: 2.1.3
% 36.63/5.67 % (1674670)Termination reason: Instruction limit
% 36.63/5.67 % (1674670)Termination phase: Saturation
% 36.63/5.67 % (1674670)Time elapsed: 0.295 s
% 36.63/5.67 % (1674670)Peak memory usage: 12 MB
% 36.63/5.67 % (1674670)Instructions burned: 440 (million)
% 36.63/5.67 % (1674688)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=2906661008:i=965:bd=all:ins=4:rtra=on_2948 on theBenchmark for (2948ds/965Mi)
% 36.63/5.67 % (1674652)Instruction limit reached!
% 36.63/5.67 % (1674652)------------------------------
% 36.63/5.67 % (1674652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.67 % (1674652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.67 % (1674652)CaDiCaL version: 2.1.3
% 36.63/5.67 % (1674652)Termination reason: Instruction limit
% 36.63/5.67 % (1674652)Termination phase: Saturation
% 36.63/5.67 % (1674652)Time elapsed: 0.696 s
% 36.63/5.67 % (1674652)Peak memory usage: 14 MB
% 36.63/5.67 % (1674652)Instructions burned: 999 (million)
% 36.63/5.67 % (1674692)lrs+10_1_sil=128000:si=on:urr=on:random_seed=735149223:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2947 on theBenchmark for (2947ds/5013Mi)
% 36.63/5.67 % (1674692)Refutation not found, incomplete strategy
% 36.63/5.67 % (1674692)------------------------------
% 36.63/5.67 % (1674692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.67 % (1674692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.67 % (1674692)CaDiCaL version: 2.1.3
% 36.63/5.67 % (1674692)Termination reason: Refutation not found, incomplete strategy
% 36.63/5.67 % (1674692)Time elapsed: 0.002 s
% 36.63/5.67 % (1674692)Peak memory usage: 12 MB
% 36.63/5.67 % (1674692)Instructions burned: 1 (million)
% 36.63/5.67 % (1674562) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1674051-1674562"...
% 36.63/5.67 % (1674692)------------------------------
% 36.63/5.67 % (1674692)------------------------------
% 36.63/5.67 % (1674694)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=2075833351:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2946 on theBenchmark for (2946ds/1583Mi)
% 36.63/5.67 % (1674686)Instruction limit reached!
% 36.63/5.67 % (1674686)------------------------------
% 36.63/5.67 % (1674686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.63/5.67 % (1674686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.63/5.67 % (1674686)CaDiCaL version: 2.1.3
% 36.63/5.67 % (1674686)Termination reason: Instruction limit
% 36.63/5.67 % (1674686)Termination phase: Saturation
% 36.63/5.67 % (1674686)Time elapsed: 0.307 s
% 36.63/5.67 % (1674686)Peak memory usage: 14 MB
% 36.63/5.67 % (1674686)Instructions burned: 376 (million)
% 36.63/5.67 % (1674562)...printing done.
% 36.63/5.67 % (1674562)Refutation found. Thanks to Tanya!
% 36.63/5.67 % SZS status Unsatisfiable for theBenchmark
% 36.63/5.67 % SZS output start Proof for theBenchmark
% See solution above
% 38.19/5.72 % (1674562)------------------------------
% 38.19/5.72 % (1674562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.19/5.72 % (1674562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.19/5.72 % (1674562)CaDiCaL version: 2.1.3
% 38.19/5.72 % (1674562)Termination reason: Refutation
% 38.19/5.72 % (1674562)Time elapsed: 2.602 s
% 38.19/5.72 % (1674562)Peak memory usage: 20 MB
% 38.19/5.72 % (1674562)Instructions burned: 3344 (million)
% 38.19/5.72 % (1674051)Success in time 5.443 s
% 38.19/5.72 % Vampire exiting
%------------------------------------------------------------------------------