%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA082^1 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:50:38 AM UTC 2026
% Result : Unsatisfiable 27.00s 4.28s
% Output : Refutation 27.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 112
% Syntax : Number of formulae : 1745 ( 52 unt; 0 typ; 106 def)
% Number of atoms : 12332 (2176 equ; 0 cnn)
% Maximal formula atoms : 13 ( 7 avg)
% Number of connectives : 16280 (3776 ~;4184 |; 5 &;8180 @)
% ( 106 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 127 ( 122 usr; 111 con; 0-4 aty)
% ( 14 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 687 ( 0 sgn 650 !; 5 ?; 687 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) )
= inj ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) )
= surj ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X1: $i,X0: $i] :
( ( r @ X0 @ X1 )
| ( X0 = X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X1: $i,X2: $i,X3: $i,X0: $i] :
( ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X1: $i,X2: $i,X0: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X3 @ X0 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X3 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( b @ X2 @ X0 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X0 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
! [X0: $i,X1: $i] :
( ( r @ X1 @ X0 )
| ( X0 = X1 )
| ( b @ X1 @ X0 ) ),
inference(rectify,[],[f4]) ).
thf(f12,plain,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f14,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f15,plain,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f16,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
! [X3: $i,X1: $i,X2: $i,X0: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f8]) ).
thf(f18,plain,
! [X1: $i,X2: $i,X0: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(flattening,[],[f10]) ).
thf(f19,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f16]) ).
thf(f20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X0 @ X3 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true ) ),
inference(rectify,[],[f17]) ).
thf(f21,plain,
( ( ( surj @ sK0 )
!= $true )
& ( ( inj @ sK0 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
thf(f22,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(rectify,[],[f12]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f24,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ X3 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f25,plain,
( ( inj @ sK0 )
= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f26,plain,
( ( surj @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f28,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f30,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f33,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 )
!= $true ),
inference(definition_unfolding,[],[f26,f28]) ).
thf(f34,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 )
= $true ),
inference(definition_unfolding,[],[f25,f27]) ).
thf(f35,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f36,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f35]) ).
thf(f37,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X1: $i] :
( ( ( X2 = X1 )
= $true )
| ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
!= ( sK0 @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f41]) ).
thf(f43,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f44,plain,
( $false
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f43]) ).
thf(f45,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f46]) ).
thf(f48,plain,
! [X1: $i] :
( ( sK0 @ X1 )
!= sK1 ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f29,f48]) ).
thf(f50,plain,
! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f29,f48]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f29,f42]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f24,f29]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f24,f49]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f67,definition,
( spl2_2
<=> ! [X1: $i] :
( ( r @ sK1 @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f68,plain,
( ! [X1: $i] :
( ( r @ sK1 @ X1 )
!= $true )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f73,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f24,f50]) ).
thf(f74,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ sK1 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f73]) ).
thf(f79,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f80,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f81,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f42]) ).
thf(f89,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f30,f79]) ).
thf(f90,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f89]) ).
thf(f93,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f24,f80]) ).
thf(f95,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f98,definition,
( spl2_4
<=> ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f99,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f105,definition,
( spl2_6
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f106,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f113,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f95,f49]) ).
thf(f116,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ sK1 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f113]) ).
thf(f120,definition,
( spl2_7
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f121,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_7 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f123,definition,
( spl2_8
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f124,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f125,plain,
( ~ spl2_7
| spl2_2
| spl2_8 ),
inference(avatar_split_clause,[],[f116,f123,f67,f120]) ).
thf(f126,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_7 ),
inference(constrained_superposition,[],[f121,f49]) ).
thf(f128,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_7 ),
inference(trivial_inequality_removal,[],[f126]) ).
thf(f130,plain,
( spl2_4
| spl2_7 ),
inference(avatar_split_clause,[],[f128,f120,f98]) ).
thf(f132,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f30,f99]) ).
thf(f133,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f132]) ).
thf(f134,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f133,f79]) ).
thf(f135,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f134]) ).
thf(f140,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( X2 = X3 )
| ( X0 = X1 )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f55,f29]) ).
thf(f143,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f55,f80]) ).
thf(f144,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( X1 = X2 )
| ( ( b @ X1 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f55,f50]) ).
thf(f146,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f143]) ).
thf(f147,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f144]) ).
thf(f149,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( X2 = X3 ) ),
inference(trivial_inequality_removal,[],[f140]) ).
thf(f151,definition,
( spl2_9
<=> ! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f152,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( r @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f151]) ).
thf(f154,definition,
( spl2_10
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f155,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f154]) ).
thf(f156,plain,
( spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f146,f154,f151]) ).
thf(f158,definition,
( spl2_11
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( X1 = X2 )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ X1 @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f159,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ sK1 ) )
| ( ( r @ X1 @ sK1 )
!= $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( X1 = X2 ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f158]) ).
thf(f161,definition,
( spl2_12
<=> ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f162,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f161]) ).
thf(f163,plain,
( spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f147,f161,f158]) ).
thf(f196,definition,
( spl2_13
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f197,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_13 ),
inference(avatar_component_clause,[],[f196]) ).
thf(f199,definition,
( spl2_14
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f200,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f199]) ).
thf(f207,definition,
( spl2_16
<=> ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f208,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f207]) ).
thf(f211,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f30,f155]) ).
thf(f212,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f211]) ).
thf(f215,definition,
( spl2_17
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f216,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_17 ),
inference(avatar_component_clause,[],[f215]) ).
thf(f218,definition,
( spl2_18
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).
thf(f219,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f218]) ).
thf(f304,definition,
( spl2_20
<=> ! [X2: $i] :
( ( ( sK0 @ sK1 )
= X2 )
| ( ( b @ ( sK0 @ sK1 ) @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f305,plain,
( ! [X2: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X2 )
= $true )
| ( ( sK0 @ sK1 )
= X2 ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f304]) ).
thf(f308,definition,
( spl2_21
<=> ! [X1: $i] :
( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f309,plain,
( ! [X1: $i] :
( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f308]) ).
thf(f319,definition,
( spl2_24
<=> ! [X2: $i] :
( ( sK1 = X2 )
| ( ( b @ sK1 @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f320,plain,
( ! [X2: $i] :
( ( ( b @ sK1 @ X2 )
= $true )
| ( sK1 = X2 ) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f319]) ).
thf(f325,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_12 ),
inference(constrained_superposition,[],[f212,f162]) ).
thf(f326,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f90,f162]) ).
thf(f329,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_10
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f325]) ).
thf(f331,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f326]) ).
thf(f333,plain,
( $false
| ~ spl2_10
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f329,f162]) ).
thf(f334,plain,
( ~ spl2_10
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f333]) ).
thf(f335,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f331,f162]) ).
thf(f336,plain,
( spl2_18
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f335,f161,f218]) ).
thf(f337,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_13 ),
inference(constrained_superposition,[],[f197,f50]) ).
thf(f340,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_13 ),
inference(trivial_inequality_removal,[],[f337]) ).
thf(f342,plain,
( spl2_6
| spl2_13 ),
inference(avatar_split_clause,[],[f340,f196,f105]) ).
thf(f359,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_6 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f361,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_6
| ~ spl2_24 ),
inference(constrained_superposition,[],[f359,f320]) ).
thf(f362,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| spl2_6
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f361]) ).
thf(f363,plain,
( $false
| spl2_6
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f362,f48]) ).
thf(f364,plain,
( spl2_6
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f363]) ).
thf(f366,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f30,f106]) ).
thf(f367,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f366]) ).
thf(f370,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_14
| ~ spl2_18 ),
inference(constrained_superposition,[],[f200,f219]) ).
thf(f372,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f74,f219]) ).
thf(f373,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f57,f219]) ).
thf(f377,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_14
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f370]) ).
thf(f381,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f372]) ).
thf(f383,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f373]) ).
thf(f386,definition,
( spl2_26
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
thf(f387,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_26 ),
inference(avatar_component_clause,[],[f386]) ).
thf(f390,definition,
( spl2_27
<=> ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_27])],[avatar_definition]) ).
thf(f391,plain,
( ! [X0: $i] :
( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f390]) ).
thf(f392,plain,
( ~ spl2_13
| spl2_27
| spl2_21
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f381,f218,f308,f390,f196]) ).
thf(f394,definition,
( spl2_28
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
thf(f395,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f394]) ).
thf(f396,plain,
( ~ spl2_13
| spl2_28
| spl2_21
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f383,f218,f308,f394,f196]) ).
thf(f405,plain,
( spl2_28
| ~ spl2_14
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f377,f218,f199,f394]) ).
thf(f435,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X1 ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_11 ),
inference(extensionality_resolution,[],[f159,f42]) ).
thf(f578,definition,
( spl2_31
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f579,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f578]) ).
thf(f582,definition,
( spl2_32
<=> ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f583,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f582]) ).
thf(f596,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f386]) ).
thf(f608,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_26 ),
inference(constrained_superposition,[],[f24,f596]) ).
thf(f609,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_26 ),
inference(duplicate_literal_removal,[],[f608]) ).
thf(f610,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f609]) ).
thf(f617,plain,
( spl2_31
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f610,f386,f578]) ).
thf(f620,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f579,f80]) ).
thf(f621,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_26
| ~ spl2_31 ),
inference(constrained_superposition,[],[f579,f596]) ).
thf(f622,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f579,f49]) ).
thf(f623,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f579,f51]) ).
thf(f624,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f579,f29]) ).
thf(f625,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f622]) ).
thf(f626,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f624]) ).
thf(f627,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_26
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f621]) ).
thf(f628,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f623]) ).
thf(f629,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f620]) ).
thf(f630,plain,
( spl2_21
| ~ spl2_26
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f627,f578,f386,f308]) ).
thf(f632,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f309,f80]) ).
thf(f633,plain,
( ( $true != $true )
| ~ spl2_21
| ~ spl2_26 ),
inference(constrained_superposition,[],[f309,f596]) ).
thf(f640,plain,
( $false
| ~ spl2_21
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f633]) ).
thf(f641,plain,
( ~ spl2_21
| ~ spl2_26 ),
inference(avatar_contradiction_clause,[],[f640]) ).
thf(f642,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f632]) ).
thf(f643,plain,
( spl2_10
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f642,f308,f154]) ).
thf(f644,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f629,f49]) ).
thf(f648,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f644]) ).
thf(f650,plain,
( spl2_8
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f648,f578,f123]) ).
thf(f653,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f628,f29]) ).
thf(f656,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ X1 )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f653]) ).
thf(f662,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f30,f124]) ).
thf(f664,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f662]) ).
thf(f1215,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f626,f29]) ).
thf(f1221,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( X0 = X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1215]) ).
thf(f1343,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ X1 ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f435,f49]) ).
thf(f1345,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f1343]) ).
thf(f1352,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f1345,f49]) ).
thf(f1354,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f1352]) ).
thf(f1653,definition,
( spl2_50
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).
thf(f1654,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_50 ),
inference(avatar_component_clause,[],[f1653]) ).
thf(f1659,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_50 ),
inference(constrained_superposition,[],[f30,f1654]) ).
thf(f1660,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f1659]) ).
thf(f1712,definition,
( spl2_51
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_51])],[avatar_definition]) ).
thf(f1713,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_51 ),
inference(avatar_component_clause,[],[f1712]) ).
thf(f1734,definition,
( spl2_53
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_53])],[avatar_definition]) ).
thf(f1735,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_53 ),
inference(avatar_component_clause,[],[f1734]) ).
thf(f1737,definition,
( spl2_54
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
thf(f1738,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f1737]) ).
thf(f1743,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_50
| ~ spl2_53 ),
inference(constrained_superposition,[],[f1660,f1735]) ).
thf(f1752,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_50
| ~ spl2_53 ),
inference(trivial_inequality_removal,[],[f1743]) ).
thf(f1755,plain,
( $false
| ~ spl2_6
| ~ spl2_50
| ~ spl2_53 ),
inference(forward_subsumption_resolution,[],[f1752,f106]) ).
thf(f1756,plain,
( ~ spl2_6
| ~ spl2_50
| ~ spl2_53 ),
inference(avatar_contradiction_clause,[],[f1755]) ).
thf(f1758,definition,
( spl2_55
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
thf(f1759,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f1758]) ).
thf(f1784,definition,
( spl2_56
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
thf(f1785,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f1784]) ).
thf(f2403,definition,
( spl2_63
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_63])],[avatar_definition]) ).
thf(f2404,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_63 ),
inference(avatar_component_clause,[],[f2403]) ).
thf(f2423,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_63 ),
inference(constrained_superposition,[],[f2404,f79]) ).
thf(f2428,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_63 ),
inference(trivial_inequality_removal,[],[f2423]) ).
thf(f2439,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| spl2_63 ),
inference(constrained_superposition,[],[f149,f2428]) ).
thf(f2453,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X1 ) )
| spl2_63 ),
inference(trivial_inequality_removal,[],[f2439]) ).
thf(f2460,plain,
( spl2_56
| spl2_20
| spl2_63 ),
inference(avatar_split_clause,[],[f2453,f2403,f304,f1784]) ).
thf(f2538,definition,
( spl2_70
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_70])],[avatar_definition]) ).
thf(f2539,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X1 ) ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_70 ),
inference(avatar_component_clause,[],[f2538]) ).
thf(f2756,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f30,f1713]) ).
thf(f2758,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f2756]) ).
thf(f2760,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_50
| ~ spl2_51 ),
inference(constrained_superposition,[],[f2758,f1654]) ).
thf(f2774,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_20
| ~ spl2_51 ),
inference(constrained_superposition,[],[f2758,f305]) ).
thf(f2775,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_31
| ~ spl2_51 ),
inference(constrained_superposition,[],[f2758,f1221]) ).
thf(f2779,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_20
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f2774]) ).
thf(f2781,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_50
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f2760]) ).
thf(f2793,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_31
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f2775]) ).
thf(f2796,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_20
| ~ spl2_51 ),
inference(forward_subsumption_resolution,[],[f2779,f99]) ).
thf(f2797,plain,
( $false
| ~ spl2_4
| ~ spl2_50
| ~ spl2_51 ),
inference(forward_subsumption_resolution,[],[f2781,f99]) ).
thf(f2798,plain,
( ~ spl2_4
| ~ spl2_50
| ~ spl2_51 ),
inference(avatar_contradiction_clause,[],[f2797]) ).
thf(f2805,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_31
| ~ spl2_51 ),
inference(forward_subsumption_resolution,[],[f2793,f99]) ).
thf(f2808,plain,
( spl2_54
| ~ spl2_4
| ~ spl2_20
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f2796,f1712,f304,f98,f1737]) ).
thf(f2815,plain,
( spl2_54
| spl2_55
| ~ spl2_4
| ~ spl2_31
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f2805,f1712,f578,f98,f1758,f1737]) ).
thf(f3105,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_54
| spl2_63 ),
inference(constrained_superposition,[],[f2428,f1738]) ).
thf(f3112,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_54 ),
inference(constrained_superposition,[],[f90,f1738]) ).
thf(f3116,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_54 ),
inference(constrained_superposition,[],[f135,f1738]) ).
thf(f3201,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_54 ),
inference(duplicate_literal_removal,[],[f3112]) ).
thf(f3204,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_4
| spl2_26
| ~ spl2_54 ),
inference(forward_subsumption_resolution,[],[f3116,f387]) ).
thf(f3217,plain,
( $false
| spl2_26
| ~ spl2_54
| spl2_63 ),
inference(forward_subsumption_resolution,[],[f3105,f387]) ).
thf(f3218,plain,
( spl2_26
| ~ spl2_54
| spl2_63 ),
inference(avatar_contradiction_clause,[],[f3217]) ).
thf(f3221,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| spl2_26
| ~ spl2_54 ),
inference(forward_subsumption_resolution,[],[f3201,f387]) ).
thf(f3225,plain,
( $false
| ~ spl2_4
| spl2_26
| ~ spl2_54 ),
inference(forward_subsumption_resolution,[],[f3204,f99]) ).
thf(f3226,plain,
( ~ spl2_4
| spl2_26
| ~ spl2_54 ),
inference(avatar_contradiction_clause,[],[f3225]) ).
thf(f3237,plain,
( spl2_32
| spl2_26
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f3221,f1737,f386,f582]) ).
thf(f3652,definition,
( spl2_84
<=> ! [X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).
thf(f3653,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X1 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) ) )
| ~ spl2_84 ),
inference(avatar_component_clause,[],[f3652]) ).
thf(f3690,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| spl2_54 ),
inference(avatar_component_clause,[],[f1737]) ).
thf(f3725,definition,
( spl2_96
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_96])],[avatar_definition]) ).
thf(f3726,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_96 ),
inference(avatar_component_clause,[],[f3725]) ).
thf(f3745,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_53 ),
inference(avatar_component_clause,[],[f1734]) ).
thf(f3772,definition,
( spl2_100
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_100])],[avatar_definition]) ).
thf(f3773,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_100 ),
inference(avatar_component_clause,[],[f3772]) ).
thf(f3775,definition,
( spl2_101
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_101])],[avatar_definition]) ).
thf(f3776,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_101 ),
inference(avatar_component_clause,[],[f3775]) ).
thf(f3779,definition,
( spl2_102
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_102])],[avatar_definition]) ).
thf(f3780,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_102 ),
inference(avatar_component_clause,[],[f3779]) ).
thf(f3782,definition,
( spl2_103
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_103])],[avatar_definition]) ).
thf(f3783,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_103 ),
inference(avatar_component_clause,[],[f3782]) ).
thf(f3786,definition,
( spl2_104
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_104])],[avatar_definition]) ).
thf(f3787,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_104 ),
inference(avatar_component_clause,[],[f3786]) ).
thf(f3789,definition,
( spl2_105
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_105])],[avatar_definition]) ).
thf(f3790,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_105 ),
inference(avatar_component_clause,[],[f3789]) ).
thf(f3793,definition,
( spl2_106
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_106])],[avatar_definition]) ).
thf(f3794,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_106 ),
inference(avatar_component_clause,[],[f3793]) ).
thf(f3797,definition,
( spl2_107
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_107])],[avatar_definition]) ).
thf(f3798,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_107 ),
inference(avatar_component_clause,[],[f3797]) ).
thf(f3800,definition,
( spl2_108
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_108])],[avatar_definition]) ).
thf(f3801,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_108 ),
inference(avatar_component_clause,[],[f3800]) ).
thf(f3804,definition,
( spl2_109
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_109])],[avatar_definition]) ).
thf(f3805,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_109 ),
inference(avatar_component_clause,[],[f3804]) ).
thf(f3811,definition,
( spl2_110
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f3812,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f3811]) ).
thf(f3815,definition,
( spl2_111
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_111])],[avatar_definition]) ).
thf(f3816,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_111 ),
inference(avatar_component_clause,[],[f3815]) ).
thf(f3902,plain,
( spl2_4
| spl2_2
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f625,f578,f67,f98]) ).
thf(f3924,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_54 ),
inference(extensionality_resolution,[],[f81,f3690]) ).
thf(f3925,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_54 ),
inference(extensionality_resolution,[],[f81,f3690]) ).
thf(f3936,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_54 ),
inference(extensionality_resolution,[],[f55,f3690]) ).
thf(f3938,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_54 ),
inference(extensionality_resolution,[],[f51,f3690]) ).
thf(f3939,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_54 ),
inference(extensionality_resolution,[],[f51,f3690]) ).
thf(f3942,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_63 ),
inference(avatar_component_clause,[],[f2403]) ).
thf(f3945,plain,
( spl2_108
| spl2_109
| spl2_54 ),
inference(avatar_split_clause,[],[f3938,f1737,f3804,f3800]) ).
thf(f3949,plain,
( spl2_105
| spl2_106
| spl2_54 ),
inference(avatar_split_clause,[],[f3939,f1737,f3793,f3789]) ).
thf(f3950,plain,
( spl2_101
| spl2_100
| spl2_54 ),
inference(avatar_split_clause,[],[f3925,f1737,f3772,f3775]) ).
thf(f3951,plain,
( spl2_103
| spl2_102
| spl2_54 ),
inference(avatar_split_clause,[],[f3924,f1737,f3779,f3782]) ).
thf(f3966,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_32 ),
inference(constrained_superposition,[],[f583,f79]) ).
thf(f3968,plain,
( ( $true != $true )
| ~ spl2_6
| ~ spl2_32 ),
inference(constrained_superposition,[],[f583,f106]) ).
thf(f3970,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f3966]) ).
thf(f3971,plain,
( $false
| ~ spl2_6
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f3968]) ).
thf(f3972,plain,
( ~ spl2_6
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f3971]) ).
thf(f3973,plain,
( spl2_18
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f3970,f582,f218]) ).
thf(f4014,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_96 ),
inference(constrained_superposition,[],[f3726,f49]) ).
thf(f4017,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_96 ),
inference(trivial_inequality_removal,[],[f4014]) ).
thf(f4019,plain,
( spl2_51
| spl2_96 ),
inference(avatar_split_clause,[],[f4017,f3725,f1712]) ).
thf(f4037,definition,
( spl2_133
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_133])],[avatar_definition]) ).
thf(f4038,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_133 ),
inference(avatar_component_clause,[],[f4037]) ).
thf(f4043,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_110
| ~ spl2_133 ),
inference(constrained_superposition,[],[f3812,f4038]) ).
thf(f4048,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133 ),
inference(constrained_superposition,[],[f90,f4038]) ).
thf(f4103,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_133 ),
inference(duplicate_literal_removal,[],[f4048]) ).
thf(f4112,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| spl2_26
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f4103,f387]) ).
thf(f4113,plain,
( $false
| spl2_17
| ~ spl2_110
| ~ spl2_133 ),
inference(forward_subsumption_resolution,[],[f4043,f216]) ).
thf(f4114,plain,
( spl2_17
| ~ spl2_110
| ~ spl2_133 ),
inference(avatar_contradiction_clause,[],[f4113]) ).
thf(f4130,plain,
( spl2_32
| spl2_26
| ~ spl2_133 ),
inference(avatar_split_clause,[],[f4112,f4037,f386,f582]) ).
thf(f4143,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_6
| ~ spl2_63 ),
inference(constrained_superposition,[],[f367,f3942]) ).
thf(f4147,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_6
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f4143]) ).
thf(f4178,definition,
( spl2_138
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_138])],[avatar_definition]) ).
thf(f4179,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_138 ),
inference(avatar_component_clause,[],[f4178]) ).
thf(f4363,definition,
( spl2_147
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_147])],[avatar_definition]) ).
thf(f4364,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_147 ),
inference(avatar_component_clause,[],[f4363]) ).
thf(f4415,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_50 ),
inference(constrained_superposition,[],[f30,f1654]) ).
thf(f4418,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f4415]) ).
thf(f4454,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_105 ),
inference(constrained_superposition,[],[f664,f3790]) ).
thf(f4458,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f4454]) ).
thf(f4459,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_63
| ~ spl2_105 ),
inference(forward_subsumption_resolution,[],[f4458,f3942]) ).
thf(f4460,plain,
( spl2_107
| ~ spl2_8
| ~ spl2_63
| ~ spl2_105 ),
inference(avatar_split_clause,[],[f4459,f3789,f2403,f123,f3797]) ).
thf(f4462,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_107 ),
inference(constrained_superposition,[],[f30,f3798]) ).
thf(f4463,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f4462]) ).
thf(f4488,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11
| ~ spl2_50 ),
inference(constrained_superposition,[],[f4418,f1354]) ).
thf(f4497,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f4488]) ).
thf(f4503,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_11
| ~ spl2_50 ),
inference(forward_subsumption_resolution,[],[f4497,f367]) ).
thf(f4504,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6
| ~ spl2_11
| ~ spl2_50
| ~ spl2_63 ),
inference(forward_subsumption_resolution,[],[f4503,f4147]) ).
thf(f4506,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_6
| ~ spl2_11
| ~ spl2_50
| ~ spl2_63 ),
inference(constrained_superposition,[],[f4504,f1354]) ).
thf(f4508,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6
| ~ spl2_11
| ~ spl2_50
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f4506]) ).
thf(f4510,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_107
| ~ spl2_110 ),
inference(constrained_superposition,[],[f4463,f3812]) ).
thf(f4518,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 ) )
| ~ spl2_31
| ~ spl2_107 ),
inference(constrained_superposition,[],[f4463,f656]) ).
thf(f4523,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_31
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f4518]) ).
thf(f4528,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_107
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f4510]) ).
thf(f4535,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_31
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f4523,f48]) ).
thf(f4538,plain,
( $false
| ~ spl2_4
| ~ spl2_107
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f4528,f99]) ).
thf(f4539,plain,
( ~ spl2_4
| ~ spl2_107
| ~ spl2_110 ),
inference(avatar_contradiction_clause,[],[f4538]) ).
thf(f4546,definition,
( spl2_150
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_150])],[avatar_definition]) ).
thf(f4547,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_150 ),
inference(avatar_component_clause,[],[f4546]) ).
thf(f4550,definition,
( spl2_151
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_151])],[avatar_definition]) ).
thf(f4551,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_151 ),
inference(avatar_component_clause,[],[f4550]) ).
thf(f4591,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_4 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f4597,definition,
( spl2_152
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_152])],[avatar_definition]) ).
thf(f4598,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_152 ),
inference(avatar_component_clause,[],[f4597]) ).
thf(f4599,plain,
( spl2_4
| spl2_152
| ~ spl2_6
| ~ spl2_11
| ~ spl2_50
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f4508,f2403,f1653,f158,f105,f4597,f98]) ).
thf(f4603,plain,
( spl2_151
| ~ spl2_4
| ~ spl2_31
| ~ spl2_107 ),
inference(avatar_split_clause,[],[f4535,f3797,f578,f98,f4550]) ).
thf(f4609,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f68,f50]) ).
thf(f4610,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f68,f29]) ).
thf(f4611,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f4610]) ).
thf(f4612,plain,
( ! [X0: $i] :
( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f4609]) ).
thf(f4613,plain,
( spl2_24
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f4611,f67,f319]) ).
thf(f4614,plain,
( spl2_12
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f4612,f67,f161]) ).
thf(f4616,plain,
( ( $true != $true )
| ~ spl2_12
| spl2_53 ),
inference(constrained_superposition,[],[f3745,f162]) ).
thf(f4618,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_8
| ~ spl2_12 ),
inference(constrained_superposition,[],[f664,f162]) ).
thf(f4619,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_50 ),
inference(constrained_superposition,[],[f4418,f162]) ).
thf(f4628,plain,
( $false
| ~ spl2_12
| spl2_53 ),
inference(trivial_inequality_removal,[],[f4616]) ).
thf(f4629,plain,
( ~ spl2_12
| spl2_53 ),
inference(avatar_contradiction_clause,[],[f4628]) ).
thf(f4632,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_8
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f4618]) ).
thf(f4636,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f4619]) ).
thf(f4639,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f4632,f106]) ).
thf(f4640,plain,
( $false
| ~ spl2_6
| ~ spl2_12
| ~ spl2_50 ),
inference(forward_subsumption_resolution,[],[f4636,f106]) ).
thf(f4641,plain,
( ~ spl2_6
| ~ spl2_12
| ~ spl2_50 ),
inference(avatar_contradiction_clause,[],[f4640]) ).
thf(f4643,plain,
( spl2_28
| ~ spl2_6
| ~ spl2_8
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f4639,f161,f123,f105,f394]) ).
thf(f4662,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f30,f99]) ).
thf(f4664,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f4662]) ).
thf(f4696,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_107 ),
inference(constrained_superposition,[],[f4463,f155]) ).
thf(f4703,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_10
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f4696]) ).
thf(f4706,plain,
( $false
| ~ spl2_4
| ~ spl2_10
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f4703,f99]) ).
thf(f4707,plain,
( ~ spl2_4
| ~ spl2_10
| ~ spl2_107 ),
inference(avatar_contradiction_clause,[],[f4706]) ).
thf(f4842,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_50 ),
inference(constrained_superposition,[],[f30,f1654]) ).
thf(f4847,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f4842]) ).
thf(f4854,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f57,f3794]) ).
thf(f4862,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f4854]) ).
thf(f4881,definition,
( spl2_161
<=> ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_161])],[avatar_definition]) ).
thf(f4882,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_161 ),
inference(avatar_component_clause,[],[f4881]) ).
thf(f4884,definition,
( spl2_162
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
thf(f4885,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_162 ),
inference(avatar_component_clause,[],[f4884]) ).
thf(f4937,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4882,f51]) ).
thf(f4938,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true ) )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4882,f29]) ).
thf(f4939,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f4937]) ).
thf(f4941,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true ) )
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f4938]) ).
thf(f4944,plain,
( spl2_150
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f4939,f4881,f4546]) ).
thf(f4945,plain,
( spl2_151
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f4941,f4881,f4550]) ).
thf(f5031,plain,
( ~ spl2_162
| spl2_161
| spl2_51
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f4862,f3793,f1712,f4881,f4884]) ).
thf(f5058,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f4664,f79]) ).
thf(f5062,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f5058]) ).
thf(f5109,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f57,f4179]) ).
thf(f5123,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f5109]) ).
thf(f5130,plain,
( ~ spl2_13
| spl2_51
| spl2_21
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f5123,f4178,f308,f1712,f196]) ).
thf(f5230,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_63 ),
inference(constrained_superposition,[],[f2404,f79]) ).
thf(f5233,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_63 ),
inference(trivial_inequality_removal,[],[f5230]) ).
thf(f5234,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_105
| ~ spl2_107 ),
inference(constrained_superposition,[],[f4463,f3790]) ).
thf(f5237,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_105 ),
inference(constrained_superposition,[],[f30,f3790]) ).
thf(f5239,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_105
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f5234]) ).
thf(f5240,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f5237]) ).
thf(f5253,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_8
| ~ spl2_108 ),
inference(constrained_superposition,[],[f664,f3801]) ).
thf(f5255,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f5253]) ).
thf(f5258,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| ~ spl2_105
| ~ spl2_107
| ~ spl2_108 ),
inference(forward_subsumption_resolution,[],[f5255,f5239]) ).
thf(f5259,plain,
( ~ spl2_147
| ~ spl2_8
| ~ spl2_105
| ~ spl2_107
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f5258,f3800,f3797,f3789,f123,f4363]) ).
thf(f5260,plain,
( ~ spl2_147
| spl2_51
| ~ spl2_8
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f5255,f3800,f123,f1712,f4363]) ).
thf(f5261,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_162 ),
inference(constrained_superposition,[],[f4885,f50]) ).
thf(f5263,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_162 ),
inference(trivial_inequality_removal,[],[f5261]) ).
thf(f5267,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_8
| spl2_162 ),
inference(constrained_superposition,[],[f664,f5263]) ).
thf(f5270,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| spl2_162 ),
inference(trivial_inequality_removal,[],[f5267]) ).
thf(f5272,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_8
| spl2_162 ),
inference(forward_subsumption_resolution,[],[f5270,f106]) ).
thf(f5274,plain,
( spl2_107
| ~ spl2_6
| ~ spl2_8
| spl2_162 ),
inference(avatar_split_clause,[],[f5272,f4884,f123,f105,f3797]) ).
thf(f5277,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4882,f49]) ).
thf(f5281,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f5277]) ).
thf(f5285,plain,
( spl2_107
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f5281,f4881,f3797]) ).
thf(f5291,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f30,f3812]) ).
thf(f5294,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f5291]) ).
thf(f5299,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_147 ),
inference(constrained_superposition,[],[f4364,f79]) ).
thf(f5301,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_147 ),
inference(trivial_inequality_removal,[],[f5299]) ).
thf(f5329,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_14
| ~ spl2_138 ),
inference(constrained_superposition,[],[f200,f4179]) ).
thf(f5330,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_14
| spl2_147 ),
inference(constrained_superposition,[],[f200,f5301]) ).
thf(f5332,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_14
| spl2_147 ),
inference(trivial_inequality_removal,[],[f5330]) ).
thf(f5336,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_14
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f5329]) ).
thf(f5337,plain,
( spl2_107
| ~ spl2_14
| spl2_147 ),
inference(avatar_split_clause,[],[f5332,f4363,f199,f3797]) ).
thf(f5339,plain,
( spl2_51
| ~ spl2_14
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f5336,f4178,f199,f1712]) ).
thf(f5351,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11
| ~ spl2_50 ),
inference(constrained_superposition,[],[f4847,f1354]) ).
thf(f5356,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_11
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f5351]) ).
thf(f5366,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_4
| ~ spl2_11
| ~ spl2_50 ),
inference(forward_subsumption_resolution,[],[f5356,f4664]) ).
thf(f5368,definition,
( spl2_171
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f5369,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f5368]) ).
thf(f5370,plain,
( spl2_171
| spl2_51
| ~ spl2_4
| ~ spl2_11
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f5366,f1653,f158,f98,f1712,f5368]) ).
thf(f5371,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f5369,f79]) ).
thf(f5373,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f5371]) ).
thf(f5375,plain,
( spl2_84
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f5373,f5368,f3652]) ).
thf(f5379,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_100 ),
inference(constrained_superposition,[],[f74,f3773]) ).
thf(f5380,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_100 ),
inference(constrained_superposition,[],[f57,f3773]) ).
thf(f5392,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f5379]) ).
thf(f5393,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f5380]) ).
thf(f5408,definition,
( spl2_175
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f5409,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f5408]) ).
thf(f5411,definition,
( spl2_176
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_176])],[avatar_definition]) ).
thf(f5412,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_176 ),
inference(avatar_component_clause,[],[f5411]) ).
thf(f5414,definition,
( spl2_177
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).
thf(f5415,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_177 ),
inference(avatar_component_clause,[],[f5414]) ).
thf(f5416,plain,
( spl2_175
| ~ spl2_176
| spl2_177
| ~ spl2_100 ),
inference(avatar_split_clause,[],[f5392,f3772,f5414,f5411,f5408]) ).
thf(f5417,plain,
( ~ spl2_176
| spl2_107
| spl2_175
| ~ spl2_100 ),
inference(avatar_split_clause,[],[f5393,f3772,f5408,f3797,f5411]) ).
thf(f5458,definition,
( spl2_178
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_178])],[avatar_definition]) ).
thf(f5459,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_178 ),
inference(avatar_component_clause,[],[f5458]) ).
thf(f5475,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_111 ),
inference(constrained_superposition,[],[f30,f3816]) ).
thf(f5476,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f5475]) ).
thf(f5485,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_101 ),
inference(constrained_superposition,[],[f30,f3776]) ).
thf(f5487,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_101 ),
inference(trivial_inequality_removal,[],[f5485]) ).
thf(f5492,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_102 ),
inference(constrained_superposition,[],[f74,f3780]) ).
thf(f5493,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_102 ),
inference(constrained_superposition,[],[f57,f3780]) ).
thf(f5504,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f5493]) ).
thf(f5507,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f5492]) ).
thf(f5518,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_103 ),
inference(constrained_superposition,[],[f664,f3783]) ).
thf(f5521,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| ~ spl2_103 ),
inference(trivial_inequality_removal,[],[f5518]) ).
thf(f5524,definition,
( spl2_183
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f5525,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_183 ),
inference(avatar_component_clause,[],[f5524]) ).
thf(f5526,plain,
( ~ spl2_183
| spl2_107
| ~ spl2_8
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f5521,f3782,f123,f3797,f5524]) ).
thf(f5527,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_183 ),
inference(constrained_superposition,[],[f5525,f79]) ).
thf(f5529,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_183 ),
inference(trivial_inequality_removal,[],[f5527]) ).
thf(f5543,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_11
| ~ spl2_110 ),
inference(constrained_superposition,[],[f5294,f1354]) ).
thf(f5548,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_11
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f5543]) ).
thf(f5559,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_4
| ~ spl2_11
| ~ spl2_110 ),
inference(forward_subsumption_resolution,[],[f5548,f4664]) ).
thf(f5561,definition,
( spl2_184
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f5562,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f5561]) ).
thf(f5563,plain,
( spl2_184
| spl2_107
| ~ spl2_4
| ~ spl2_11
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f5559,f3811,f158,f98,f3797,f5561]) ).
thf(f5564,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f5562,f79]) ).
thf(f5566,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f5564]) ).
thf(f5606,definition,
( spl2_185
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
thf(f5607,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f5606]) ).
thf(f5614,definition,
( spl2_186
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f5615,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f5614]) ).
thf(f5616,plain,
( spl2_161
| spl2_186
| ~ spl2_162
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f5507,f3779,f4884,f5614,f4881]) ).
thf(f5618,definition,
( spl2_187
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_187])],[avatar_definition]) ).
thf(f5619,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_187 ),
inference(avatar_component_clause,[],[f5618]) ).
thf(f5620,plain,
( spl2_187
| ~ spl2_162
| spl2_161
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f5504,f3779,f4881,f4884,f5618]) ).
thf(f5621,plain,
( ( $true != $true )
| ~ spl2_102
| ~ spl2_175 ),
inference(constrained_superposition,[],[f5409,f3780]) ).
thf(f5624,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f5409,f49]) ).
thf(f5625,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_175 ),
inference(constrained_superposition,[],[f5409,f51]) ).
thf(f5629,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f5625]) ).
thf(f5631,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f5624]) ).
thf(f5632,plain,
( $false
| ~ spl2_102
| ~ spl2_175 ),
inference(trivial_inequality_removal,[],[f5621]) ).
thf(f5633,plain,
( ~ spl2_102
| ~ spl2_175 ),
inference(avatar_contradiction_clause,[],[f5632]) ).
thf(f5635,plain,
( spl2_185
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f5629,f5408,f5606]) ).
thf(f5637,plain,
( spl2_187
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f5631,f5408,f5618]) ).
thf(f5718,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_186 ),
inference(constrained_superposition,[],[f664,f5615]) ).
thf(f5720,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_8
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f5718]) ).
thf(f5723,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f5720,f106]) ).
thf(f5725,plain,
( spl2_187
| ~ spl2_6
| ~ spl2_8
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f5723,f5614,f123,f105,f5618]) ).
thf(f5727,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_187 ),
inference(constrained_superposition,[],[f30,f5619]) ).
thf(f5729,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f5727]) ).
thf(f5735,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| spl2_183 ),
inference(constrained_superposition,[],[f57,f5529]) ).
thf(f5749,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_183 ),
inference(trivial_inequality_removal,[],[f5735]) ).
thf(f5796,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_111
| ~ spl2_187 ),
inference(constrained_superposition,[],[f5729,f3816]) ).
thf(f5817,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_111
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f5796]) ).
thf(f5826,plain,
( $false
| ~ spl2_4
| ~ spl2_111
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f5817,f99]) ).
thf(f5827,plain,
( ~ spl2_4
| ~ spl2_111
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f5826]) ).
thf(f5856,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_105
| ~ spl2_110 ),
inference(constrained_superposition,[],[f5240,f3812]) ).
thf(f5861,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_103
| ~ spl2_105 ),
inference(constrained_superposition,[],[f5240,f3783]) ).
thf(f5878,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_105
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f5856]) ).
thf(f5882,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_103
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f5861]) ).
thf(f5909,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_50 ),
inference(avatar_component_clause,[],[f1653]) ).
thf(f5911,plain,
( ~ spl2_50
| ~ spl2_105
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f5878,f3811,f3789,f1653]) ).
thf(f6249,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_8
| spl2_50 ),
inference(constrained_superposition,[],[f5909,f124]) ).
thf(f6252,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_8
| spl2_50 ),
inference(trivial_inequality_removal,[],[f6249]) ).
thf(f6253,plain,
( spl2_51
| ~ spl2_8
| spl2_50 ),
inference(avatar_split_clause,[],[f6252,f1653,f123,f1712]) ).
thf(f6254,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_51 ),
inference(constrained_superposition,[],[f5062,f1713]) ).
thf(f6256,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_51 ),
inference(constrained_superposition,[],[f30,f1713]) ).
thf(f6257,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f6254]) ).
thf(f6259,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f6256]) ).
thf(f6280,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_11
| ~ spl2_111 ),
inference(constrained_superposition,[],[f5476,f1354]) ).
thf(f6281,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_11
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f6280]) ).
thf(f6285,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_4
| ~ spl2_11
| ~ spl2_111 ),
inference(forward_subsumption_resolution,[],[f6281,f4664]) ).
thf(f6287,definition,
( spl2_212
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_212])],[avatar_definition]) ).
thf(f6288,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_212 ),
inference(avatar_component_clause,[],[f6287]) ).
thf(f6289,plain,
( spl2_187
| spl2_212
| ~ spl2_4
| ~ spl2_11
| ~ spl2_111 ),
inference(avatar_split_clause,[],[f6285,f3815,f158,f98,f6287,f5618]) ).
thf(f6304,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_101
| ~ spl2_111 ),
inference(constrained_superposition,[],[f5487,f3816]) ).
thf(f6305,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_8
| ~ spl2_101 ),
inference(constrained_superposition,[],[f5487,f124]) ).
thf(f6309,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_101 ),
inference(trivial_inequality_removal,[],[f6305]) ).
thf(f6311,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_101
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f6304]) ).
thf(f6317,plain,
( $false
| ~ spl2_101
| ~ spl2_110
| ~ spl2_111 ),
inference(forward_subsumption_resolution,[],[f6311,f3812]) ).
thf(f6318,plain,
( ~ spl2_101
| ~ spl2_110
| ~ spl2_111 ),
inference(avatar_contradiction_clause,[],[f6317]) ).
thf(f6322,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_187 ),
inference(constrained_superposition,[],[f30,f5619]) ).
thf(f6325,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f6322]) ).
thf(f6538,definition,
( spl2_214
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_214])],[avatar_definition]) ).
thf(f6539,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_214 ),
inference(avatar_component_clause,[],[f6538]) ).
thf(f6704,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_133 ),
inference(avatar_component_clause,[],[f4037]) ).
thf(f6756,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_11
| spl2_133 ),
inference(extensionality_resolution,[],[f435,f6704]) ).
thf(f6763,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_133 ),
inference(extensionality_resolution,[],[f51,f6704]) ).
thf(f6768,definition,
( spl2_220
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_220])],[avatar_definition]) ).
thf(f6769,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_220 ),
inference(avatar_component_clause,[],[f6768]) ).
thf(f6771,definition,
( spl2_221
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_221])],[avatar_definition]) ).
thf(f6772,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_221 ),
inference(avatar_component_clause,[],[f6771]) ).
thf(f6775,definition,
( spl2_222
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_222])],[avatar_definition]) ).
thf(f6776,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_222 ),
inference(avatar_component_clause,[],[f6775]) ).
thf(f6778,definition,
( spl2_223
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_223])],[avatar_definition]) ).
thf(f6779,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_223 ),
inference(avatar_component_clause,[],[f6778]) ).
thf(f6781,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_103
| ~ spl2_105
| spl2_133 ),
inference(forward_subsumption_resolution,[],[f6763,f5882]) ).
thf(f6782,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_11
| ~ spl2_103
| ~ spl2_105
| spl2_133 ),
inference(forward_subsumption_resolution,[],[f6756,f5882]) ).
thf(f6784,definition,
( spl2_224
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_224])],[avatar_definition]) ).
thf(f6785,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_224 ),
inference(avatar_component_clause,[],[f6784]) ).
thf(f6788,definition,
( spl2_225
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_225])],[avatar_definition]) ).
thf(f6789,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f6788]) ).
thf(f6791,definition,
( spl2_226
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_226])],[avatar_definition]) ).
thf(f6792,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_226 ),
inference(avatar_component_clause,[],[f6791]) ).
thf(f6794,plain,
( ~ spl2_96
| ~ spl2_221
| ~ spl2_11
| ~ spl2_103
| ~ spl2_105
| spl2_133 ),
inference(avatar_split_clause,[],[f6782,f4037,f3789,f3782,f158,f6771,f3725]) ).
thf(f6795,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_221 ),
inference(constrained_superposition,[],[f6772,f49]) ).
thf(f6797,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_221 ),
inference(trivial_inequality_removal,[],[f6795]) ).
thf(f6799,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_187
| ~ spl2_220 ),
inference(constrained_superposition,[],[f6325,f6769]) ).
thf(f6800,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_101
| ~ spl2_220 ),
inference(constrained_superposition,[],[f5487,f6769]) ).
thf(f6804,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_101
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f6800]) ).
thf(f6806,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_187
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f6799]) ).
thf(f6809,plain,
( $false
| ~ spl2_101
| ~ spl2_105
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f6804,f3790]) ).
thf(f6810,plain,
( ~ spl2_101
| ~ spl2_105
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f6809]) ).
thf(f6811,plain,
( $false
| ~ spl2_51
| ~ spl2_187
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f6806,f1713]) ).
thf(f6812,plain,
( ~ spl2_51
| ~ spl2_187
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f6811]) ).
thf(f6814,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_103
| ~ spl2_105
| spl2_133 ),
inference(constrained_superposition,[],[f95,f6781]) ).
thf(f6826,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_103
| ~ spl2_105
| spl2_133 ),
inference(trivial_inequality_removal,[],[f6814]) ).
thf(f6830,definition,
( spl2_227
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f6831,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_227 ),
inference(avatar_component_clause,[],[f6830]) ).
thf(f6833,definition,
( spl2_228
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_228])],[avatar_definition]) ).
thf(f6834,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_228 ),
inference(avatar_component_clause,[],[f6833]) ).
thf(f6837,definition,
( spl2_229
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_229])],[avatar_definition]) ).
thf(f6838,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_229 ),
inference(avatar_component_clause,[],[f6837]) ).
thf(f6840,plain,
( spl2_111
| ~ spl2_227
| spl2_228
| ~ spl2_103
| ~ spl2_105
| spl2_133 ),
inference(avatar_split_clause,[],[f6826,f4037,f3789,f3782,f6833,f6830,f3815]) ).
thf(f6849,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_229 ),
inference(constrained_superposition,[],[f6838,f50]) ).
thf(f6851,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_229 ),
inference(trivial_inequality_removal,[],[f6849]) ).
thf(f6853,plain,
( $false
| spl2_53
| spl2_229 ),
inference(forward_subsumption_resolution,[],[f6851,f3745]) ).
thf(f6854,plain,
( spl2_53
| spl2_229 ),
inference(avatar_contradiction_clause,[],[f6853]) ).
thf(f6861,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f6834,f51]) ).
thf(f6865,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f6861]) ).
thf(f6870,plain,
( spl2_70
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f6865,f6833,f2538]) ).
thf(f6872,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_227 ),
inference(constrained_superposition,[],[f6831,f51]) ).
thf(f6874,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_227 ),
inference(trivial_inequality_removal,[],[f6872]) ).
thf(f6877,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| spl2_50
| spl2_227 ),
inference(forward_subsumption_resolution,[],[f6874,f5909]) ).
thf(f6881,plain,
( $false
| spl2_50
| spl2_227 ),
inference(forward_subsumption_resolution,[],[f6877,f48]) ).
thf(f6882,plain,
( spl2_50
| spl2_227 ),
inference(avatar_contradiction_clause,[],[f6881]) ).
thf(f6885,plain,
( spl2_138
| ~ spl2_4
| ~ spl2_51 ),
inference(avatar_split_clause,[],[f6257,f1712,f98,f4178]) ).
thf(f6886,plain,
( spl2_138
| spl2_63 ),
inference(avatar_split_clause,[],[f5233,f2403,f4178]) ).
thf(f6888,definition,
( spl2_232
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f6889,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f6888]) ).
thf(f6891,definition,
( spl2_233
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_233])],[avatar_definition]) ).
thf(f6892,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_233 ),
inference(avatar_component_clause,[],[f6891]) ).
thf(f6894,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_9
| ~ spl2_138 ),
inference(constrained_superposition,[],[f152,f4179]) ).
thf(f6903,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_9
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f6894]) ).
thf(f6922,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_224 ),
inference(constrained_superposition,[],[f95,f6785]) ).
thf(f6923,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_224 ),
inference(constrained_superposition,[],[f74,f6785]) ).
thf(f6931,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f6923]) ).
thf(f6935,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f6922]) ).
thf(f6945,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| spl2_50
| ~ spl2_224 ),
inference(forward_subsumption_resolution,[],[f6935,f5909]) ).
thf(f6948,definition,
( spl2_236
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_236])],[avatar_definition]) ).
thf(f6949,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_236 ),
inference(avatar_component_clause,[],[f6948]) ).
thf(f6950,plain,
( spl2_175
| ~ spl2_236
| spl2_50
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f6945,f6784,f1653,f6948,f5408]) ).
thf(f6951,plain,
( ~ spl2_176
| spl2_53
| spl2_175
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f6931,f6784,f5408,f1734,f5411]) ).
thf(f6960,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_236 ),
inference(constrained_superposition,[],[f6949,f80]) ).
thf(f6963,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_236 ),
inference(trivial_inequality_removal,[],[f6960]) ).
thf(f6966,plain,
( spl2_111
| spl2_236 ),
inference(avatar_split_clause,[],[f6963,f6948,f3815]) ).
thf(f6969,plain,
( spl2_187
| spl2_221 ),
inference(avatar_split_clause,[],[f6797,f6771,f5618]) ).
thf(f6972,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_110 ),
inference(avatar_component_clause,[],[f3811]) ).
thf(f6973,plain,
( ~ spl2_110
| spl2_187
| ~ spl2_8
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f6309,f3775,f123,f5618,f3811]) ).
thf(f6979,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_8
| spl2_110 ),
inference(constrained_superposition,[],[f6972,f124]) ).
thf(f6981,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_8
| spl2_110 ),
inference(trivial_inequality_removal,[],[f6979]) ).
thf(f6985,plain,
( spl2_107
| ~ spl2_8
| spl2_110 ),
inference(avatar_split_clause,[],[f6981,f3811,f123,f3797]) ).
thf(f6987,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_8
| ~ spl2_110 ),
inference(constrained_superposition,[],[f664,f3812]) ).
thf(f6992,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_8
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f6987]) ).
thf(f6998,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_176 ),
inference(constrained_superposition,[],[f5412,f50]) ).
thf(f7001,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_176 ),
inference(trivial_inequality_removal,[],[f6998]) ).
thf(f7003,plain,
( spl2_186
| spl2_176 ),
inference(avatar_split_clause,[],[f7001,f5411,f5614]) ).
thf(f7004,plain,
( ( $true != $true )
| ~ spl2_175
| spl2_183 ),
inference(constrained_superposition,[],[f5409,f5529]) ).
thf(f7015,plain,
( $false
| ~ spl2_175
| spl2_183 ),
inference(trivial_inequality_removal,[],[f7004]) ).
thf(f7016,plain,
( ~ spl2_175
| spl2_183 ),
inference(avatar_contradiction_clause,[],[f7015]) ).
thf(f7020,definition,
( spl2_237
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_237])],[avatar_definition]) ).
thf(f7021,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_237 ),
inference(avatar_component_clause,[],[f7020]) ).
thf(f7023,plain,
( ~ spl2_17
| spl2_107
| ~ spl2_8
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f6992,f3811,f123,f3797,f215]) ).
thf(f7025,plain,
( spl2_187
| spl2_21
| ~ spl2_13
| spl2_183 ),
inference(avatar_split_clause,[],[f5749,f5524,f196,f308,f5618]) ).
thf(f7030,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f309,f29]) ).
thf(f7031,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f7030]) ).
thf(f7035,plain,
( spl2_20
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f7031,f308,f304]) ).
thf(f7078,plain,
( ( $true != $true )
| ~ spl2_10
| spl2_50 ),
inference(constrained_superposition,[],[f5909,f155]) ).
thf(f7081,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_51 ),
inference(constrained_superposition,[],[f6259,f155]) ).
thf(f7087,plain,
( $false
| ~ spl2_10
| spl2_50 ),
inference(trivial_inequality_removal,[],[f7078]) ).
thf(f7088,plain,
( ~ spl2_10
| spl2_50 ),
inference(avatar_contradiction_clause,[],[f7087]) ).
thf(f7092,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_10
| ~ spl2_51 ),
inference(trivial_inequality_removal,[],[f7081]) ).
thf(f7095,plain,
( $false
| ~ spl2_4
| ~ spl2_10
| ~ spl2_51 ),
inference(forward_subsumption_resolution,[],[f7092,f99]) ).
thf(f7096,plain,
( ~ spl2_4
| ~ spl2_10
| ~ spl2_51 ),
inference(avatar_contradiction_clause,[],[f7095]) ).
thf(f7119,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_162 ),
inference(constrained_superposition,[],[f4885,f50]) ).
thf(f7122,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_162 ),
inference(trivial_inequality_removal,[],[f7119]) ).
thf(f7127,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f95,f3794]) ).
thf(f7136,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f7127]) ).
thf(f7142,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| spl2_50
| ~ spl2_106 ),
inference(forward_subsumption_resolution,[],[f7136,f5909]) ).
thf(f7145,definition,
( spl2_239
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_239])],[avatar_definition]) ).
thf(f7146,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_239 ),
inference(avatar_component_clause,[],[f7145]) ).
thf(f7147,plain,
( spl2_161
| ~ spl2_239
| spl2_50
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f7142,f3793,f1653,f7145,f4881]) ).
thf(f7148,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_239 ),
inference(constrained_superposition,[],[f7146,f80]) ).
thf(f7151,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_239 ),
inference(trivial_inequality_removal,[],[f7148]) ).
thf(f7181,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_147 ),
inference(avatar_component_clause,[],[f4363]) ).
thf(f7183,definition,
( spl2_240
<=> ! [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_240])],[avatar_definition]) ).
thf(f7184,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_240 ),
inference(avatar_component_clause,[],[f7183]) ).
thf(f7186,plain,
( spl2_177
| spl2_162 ),
inference(avatar_split_clause,[],[f7122,f4884,f5414]) ).
thf(f7197,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_177 ),
inference(constrained_superposition,[],[f30,f5415]) ).
thf(f7200,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_177 ),
inference(trivial_inequality_removal,[],[f7197]) ).
thf(f7201,plain,
( spl2_214
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f7200,f5414,f6538]) ).
thf(f7204,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f30,f5615]) ).
thf(f7205,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f7204]) ).
thf(f7359,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f95,f6889]) ).
thf(f7370,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f7359]) ).
thf(f7374,plain,
( spl2_228
| spl2_111
| ~ spl2_227
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f7370,f6888,f6830,f3815,f6833]) ).
thf(f7376,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_51
| ~ spl2_233 ),
inference(constrained_superposition,[],[f6259,f6892]) ).
thf(f7381,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_51
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f7376]) ).
thf(f7406,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_110
| ~ spl2_214 ),
inference(constrained_superposition,[],[f6539,f3812]) ).
thf(f7411,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_110
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f7406]) ).
thf(f7413,plain,
( $false
| ~ spl2_4
| ~ spl2_110
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f7411,f99]) ).
thf(f7414,plain,
( ~ spl2_4
| ~ spl2_110
| ~ spl2_214 ),
inference(avatar_contradiction_clause,[],[f7413]) ).
thf(f7435,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_103 ),
inference(constrained_superposition,[],[f30,f3783]) ).
thf(f7437,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_103 ),
inference(trivial_inequality_removal,[],[f7435]) ).
thf(f7448,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_237 ),
inference(constrained_superposition,[],[f24,f7021]) ).
thf(f7450,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f7448]) ).
thf(f7460,plain,
( spl2_240
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f7450,f7020,f7183]) ).
thf(f7469,plain,
( $false
| ~ spl2_51
| ~ spl2_187
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f5619,f7381]) ).
thf(f7470,plain,
( ~ spl2_51
| ~ spl2_187
| ~ spl2_233 ),
inference(avatar_contradiction_clause,[],[f7469]) ).
thf(f7473,plain,
( spl2_110
| spl2_239 ),
inference(avatar_split_clause,[],[f7151,f7145,f3811]) ).
thf(f7476,plain,
( ( $true != $true )
| ~ spl2_32
| ~ spl2_147 ),
inference(constrained_superposition,[],[f583,f7181]) ).
thf(f7478,plain,
( $false
| ~ spl2_32
| ~ spl2_147 ),
inference(trivial_inequality_removal,[],[f7476]) ).
thf(f7479,plain,
( ~ spl2_32
| ~ spl2_147 ),
inference(avatar_contradiction_clause,[],[f7478]) ).
thf(f7483,definition,
( spl2_241
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_241])],[avatar_definition]) ).
thf(f7484,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_241 ),
inference(avatar_component_clause,[],[f7483]) ).
thf(f7532,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_18 ),
inference(constrained_superposition,[],[f24,f219]) ).
thf(f7540,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_18 ),
inference(trivial_inequality_removal,[],[f7532]) ).
thf(f7546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f30,f3812]) ).
thf(f7547,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f7546]) ).
thf(f7565,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f24,f3794]) ).
thf(f7568,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f7565]) ).
thf(f7577,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_108 ),
inference(constrained_superposition,[],[f30,f3801]) ).
thf(f7580,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f7577]) ).
thf(f7581,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_183 ),
inference(constrained_superposition,[],[f5525,f79]) ).
thf(f7583,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_183 ),
inference(trivial_inequality_removal,[],[f7581]) ).
thf(f7586,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_220 ),
inference(constrained_superposition,[],[f30,f6769]) ).
thf(f7587,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f7586]) ).
thf(f7604,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_101 ),
inference(constrained_superposition,[],[f90,f3776]) ).
thf(f7607,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_101 ),
inference(trivial_inequality_removal,[],[f7604]) ).
thf(f7614,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_186
| ~ spl2_220 ),
inference(constrained_superposition,[],[f7205,f6769]) ).
thf(f7618,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_186
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f7614]) ).
thf(f7621,plain,
( $false
| ~ spl2_51
| ~ spl2_186
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f7618,f1713]) ).
thf(f7622,plain,
( ~ spl2_51
| ~ spl2_186
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f7621]) ).
thf(f7623,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_110
| ~ spl2_222 ),
inference(constrained_superposition,[],[f7547,f6776]) ).
thf(f7628,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_110
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f7623]) ).
thf(f7629,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_110
| ~ spl2_222 ),
inference(constrained_superposition,[],[f7628,f79]) ).
thf(f7632,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_110
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f7629]) ).
thf(f7652,definition,
( spl2_243
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_243])],[avatar_definition]) ).
thf(f7653,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X1 ) )
| ~ spl2_243 ),
inference(avatar_component_clause,[],[f7652]) ).
thf(f7656,definition,
( spl2_244
<=> ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_244])],[avatar_definition]) ).
thf(f7657,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ~ spl2_244 ),
inference(avatar_component_clause,[],[f7656]) ).
thf(f7676,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_103
| ~ spl2_108 ),
inference(constrained_superposition,[],[f7580,f3783]) ).
thf(f7680,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_103
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f7676]) ).
thf(f7684,plain,
( $false
| ~ spl2_103
| ~ spl2_108
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f7680,f6892]) ).
thf(f7685,plain,
( ~ spl2_103
| ~ spl2_108
| ~ spl2_233 ),
inference(avatar_contradiction_clause,[],[f7684]) ).
thf(f7708,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_101
| ~ spl2_220 ),
inference(constrained_superposition,[],[f7587,f3776]) ).
thf(f7710,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_101
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f7708]) ).
thf(f7724,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_18
| ~ spl2_109 ),
inference(constrained_superposition,[],[f7540,f3805]) ).
thf(f7730,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_18
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f7724]) ).
thf(f7737,plain,
( spl2_228
| ~ spl2_227
| ~ spl2_18
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f7730,f3804,f218,f6830,f6833]) ).
thf(f7739,definition,
( spl2_247
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_247])],[avatar_definition]) ).
thf(f7740,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_247 ),
inference(avatar_component_clause,[],[f7739]) ).
thf(f7743,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_101
| ~ spl2_147 ),
inference(forward_subsumption_resolution,[],[f7607,f7181]) ).
thf(f7744,plain,
( spl2_241
| spl2_183 ),
inference(avatar_split_clause,[],[f7583,f5524,f7483]) ).
thf(f7745,plain,
( spl2_241
| ~ spl2_101
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f7743,f4363,f3775,f7483]) ).
thf(f7801,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_101
| ~ spl2_103 ),
inference(constrained_superposition,[],[f7437,f3776]) ).
thf(f7805,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_101
| ~ spl2_103 ),
inference(trivial_inequality_removal,[],[f7801]) ).
thf(f7818,definition,
( spl2_251
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_251])],[avatar_definition]) ).
thf(f7819,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_251 ),
inference(avatar_component_clause,[],[f7818]) ).
thf(f7823,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_251 ),
inference(constrained_superposition,[],[f30,f7819]) ).
thf(f7826,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f7823]) ).
thf(f7827,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_106
| ~ spl2_226 ),
inference(constrained_superposition,[],[f7568,f6792]) ).
thf(f7828,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_106
| ~ spl2_109 ),
inference(constrained_superposition,[],[f7568,f3805]) ).
thf(f7835,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_106
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f7828]) ).
thf(f7836,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_106
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f7827]) ).
thf(f7840,definition,
( spl2_252
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_252])],[avatar_definition]) ).
thf(f7841,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_252 ),
inference(avatar_component_clause,[],[f7840]) ).
thf(f7842,plain,
( ~ spl2_252
| spl2_228
| ~ spl2_106
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f7835,f3804,f3793,f6833,f7840]) ).
thf(f7844,definition,
( spl2_253
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_253])],[avatar_definition]) ).
thf(f7845,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_253 ),
inference(avatar_component_clause,[],[f7844]) ).
thf(f7846,plain,
( ~ spl2_253
| spl2_244
| ~ spl2_106
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f7836,f6791,f3793,f7656,f7844]) ).
thf(f7847,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_253 ),
inference(constrained_superposition,[],[f7845,f81]) ).
thf(f7850,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_253 ),
inference(trivial_inequality_removal,[],[f7847]) ).
thf(f7853,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_253 ),
inference(forward_subsumption_resolution,[],[f7850,f48]) ).
thf(f7855,definition,
( spl2_254
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_254])],[avatar_definition]) ).
thf(f7856,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_254 ),
inference(avatar_component_clause,[],[f7855]) ).
thf(f7859,definition,
( spl2_255
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_255])],[avatar_definition]) ).
thf(f7860,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_255 ),
inference(avatar_component_clause,[],[f7859]) ).
thf(f7862,plain,
( spl2_254
| spl2_253 ),
inference(avatar_split_clause,[],[f7853,f7844,f7855]) ).
thf(f7944,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_55 ),
inference(constrained_superposition,[],[f4664,f1759]) ).
thf(f7949,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f7944]) ).
thf(f7963,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_51
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f7949,f1713]) ).
thf(f7968,plain,
( $false
| ~ spl2_4
| ~ spl2_51
| spl2_54
| ~ spl2_55 ),
inference(forward_subsumption_resolution,[],[f7963,f3690]) ).
thf(f7969,plain,
( ~ spl2_4
| ~ spl2_51
| spl2_54
| ~ spl2_55 ),
inference(avatar_contradiction_clause,[],[f7968]) ).
thf(f7973,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_70
| ~ spl2_184 ),
inference(constrained_superposition,[],[f5562,f2539]) ).
thf(f7980,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_70 ),
inference(constrained_superposition,[],[f4664,f2539]) ).
thf(f7984,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_70
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f7973]) ).
thf(f7988,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_70 ),
inference(trivial_inequality_removal,[],[f7980]) ).
thf(f7995,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_70
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f7984,f48]) ).
thf(f7998,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_70 ),
inference(forward_subsumption_resolution,[],[f7988,f48]) ).
thf(f8000,plain,
( $false
| spl2_54
| ~ spl2_70
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f7995,f3690]) ).
thf(f8001,plain,
( spl2_54
| ~ spl2_70
| ~ spl2_184 ),
inference(avatar_contradiction_clause,[],[f8000]) ).
thf(f8002,plain,
( $false
| ~ spl2_4
| ~ spl2_51
| ~ spl2_70 ),
inference(forward_subsumption_resolution,[],[f7998,f1713]) ).
thf(f8003,plain,
( ~ spl2_4
| ~ spl2_51
| ~ spl2_70 ),
inference(avatar_contradiction_clause,[],[f8002]) ).
thf(f8512,definition,
( spl2_260
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_260])],[avatar_definition]) ).
thf(f8513,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_260 ),
inference(avatar_component_clause,[],[f8512]) ).
thf(f8655,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_101
| ~ spl2_150
| ~ spl2_220 ),
inference(constrained_superposition,[],[f7710,f4547]) ).
thf(f8671,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_101
| ~ spl2_150
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f8655]) ).
thf(f8676,plain,
( $false
| spl2_54
| ~ spl2_101
| ~ spl2_150
| ~ spl2_220 ),
inference(forward_subsumption_resolution,[],[f8671,f3690]) ).
thf(f8677,plain,
( spl2_54
| ~ spl2_101
| ~ spl2_150
| ~ spl2_220 ),
inference(avatar_contradiction_clause,[],[f8676]) ).
thf(f9161,definition,
( spl2_269
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_269])],[avatar_definition]) ).
thf(f9162,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_269 ),
inference(avatar_component_clause,[],[f9161]) ).
thf(f9422,definition,
( spl2_274
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).
thf(f9423,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f9422]) ).
thf(f9531,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_184
| ~ spl2_185 ),
inference(constrained_superposition,[],[f5562,f5607]) ).
thf(f9541,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_184
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f9531]) ).
thf(f9548,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_184
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f9541,f48]) ).
thf(f9552,plain,
( spl2_269
| ~ spl2_184
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f9548,f5606,f5561,f9161]) ).
thf(f9590,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_9
| ~ spl2_110
| ~ spl2_138
| ~ spl2_222 ),
inference(constrained_superposition,[],[f6903,f7632]) ).
thf(f9597,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_9
| ~ spl2_110
| ~ spl2_138
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f9590]) ).
thf(f9599,plain,
( spl2_254
| spl2_255
| ~ spl2_9
| ~ spl2_110
| ~ spl2_138
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f9597,f6775,f4178,f3811,f151,f7859,f7855]) ).
thf(f9652,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_254 ),
inference(constrained_superposition,[],[f30,f7856]) ).
thf(f9653,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f9652]) ).
thf(f9657,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_251
| ~ spl2_254 ),
inference(constrained_superposition,[],[f7826,f7856]) ).
thf(f9660,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_251
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f9657]) ).
thf(f9661,plain,
( $false
| ~ spl2_51
| ~ spl2_251
| ~ spl2_254 ),
inference(forward_subsumption_resolution,[],[f9660,f1713]) ).
thf(f9662,plain,
( ~ spl2_51
| ~ spl2_251
| ~ spl2_254 ),
inference(avatar_contradiction_clause,[],[f9661]) ).
thf(f9665,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_11
| ~ spl2_254 ),
inference(constrained_superposition,[],[f9653,f1354]) ).
thf(f9668,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_11
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f9665]) ).
thf(f9669,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_11
| ~ spl2_51
| ~ spl2_254 ),
inference(forward_subsumption_resolution,[],[f9668,f6259]) ).
thf(f9671,definition,
( spl2_275
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_275])],[avatar_definition]) ).
thf(f9672,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_275 ),
inference(avatar_component_clause,[],[f9671]) ).
thf(f9673,plain,
( spl2_275
| spl2_251
| ~ spl2_11
| ~ spl2_51
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f9669,f7855,f1712,f158,f7818,f9671]) ).
thf(f9702,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_244 ),
inference(constrained_superposition,[],[f7657,f29]) ).
thf(f9706,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_244 ),
inference(trivial_inequality_removal,[],[f9702]) ).
thf(f9709,plain,
( spl2_243
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f9706,f7656,f7652]) ).
thf(f9775,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_233
| ~ spl2_275 ),
inference(constrained_superposition,[],[f9672,f6892]) ).
thf(f9777,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_233
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f9775]) ).
thf(f9798,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_184
| ~ spl2_233
| ~ spl2_275 ),
inference(constrained_superposition,[],[f5566,f9777]) ).
thf(f9834,plain,
( spl2_237
| spl2_269
| ~ spl2_184
| ~ spl2_233
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f9798,f9671,f6891,f5561,f9161,f7020]) ).
thf(f9857,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_147 ),
inference(constrained_superposition,[],[f4364,f79]) ).
thf(f9859,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_147 ),
inference(trivial_inequality_removal,[],[f9857]) ).
thf(f9861,plain,
( spl2_237
| spl2_147 ),
inference(avatar_split_clause,[],[f9859,f4363,f7020]) ).
thf(f9863,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_237 ),
inference(constrained_superposition,[],[f152,f7021]) ).
thf(f9876,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_9
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f9863]) ).
thf(f9891,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_63 ),
inference(constrained_superposition,[],[f4664,f3942]) ).
thf(f9893,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f9891]) ).
thf(f9895,plain,
( $false
| ~ spl2_4
| ~ spl2_51
| ~ spl2_63 ),
inference(forward_subsumption_resolution,[],[f9893,f1713]) ).
thf(f9896,plain,
( ~ spl2_4
| ~ spl2_51
| ~ spl2_63 ),
inference(avatar_contradiction_clause,[],[f9895]) ).
thf(f9904,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_12
| ~ spl2_103 ),
inference(constrained_superposition,[],[f7437,f162]) ).
thf(f9911,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_12
| ~ spl2_103 ),
inference(trivial_inequality_removal,[],[f9904]) ).
thf(f9913,plain,
( $false
| ~ spl2_12
| ~ spl2_103 ),
inference(forward_subsumption_resolution,[],[f9911,f162]) ).
thf(f9914,plain,
( ~ spl2_12
| ~ spl2_103 ),
inference(avatar_contradiction_clause,[],[f9913]) ).
thf(f10002,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f42,f7860]) ).
thf(f10034,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_105 ),
inference(constrained_superposition,[],[f30,f3790]) ).
thf(f10036,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f10034]) ).
thf(f10037,plain,
( spl2_274
| ~ spl2_105 ),
inference(avatar_split_clause,[],[f10036,f3789,f9422]) ).
thf(f10038,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_51
| ~ spl2_108 ),
inference(constrained_superposition,[],[f6259,f3801]) ).
thf(f10040,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_108 ),
inference(constrained_superposition,[],[f30,f3801]) ).
thf(f10042,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f10040]) ).
thf(f10043,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_51
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f10038]) ).
thf(f10044,plain,
( spl2_274
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f10042,f3800,f9422]) ).
thf(f10051,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_111 ),
inference(constrained_superposition,[],[f30,f3816]) ).
thf(f10054,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f10051]) ).
thf(f10072,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_251 ),
inference(constrained_superposition,[],[f5062,f7819]) ).
thf(f10074,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_4
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f10072]) ).
thf(f10093,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_255 ),
inference(equality_resolution,[],[f10002]) ).
thf(f10094,plain,
( spl2_178
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f10093,f7859,f5458]) ).
thf(f10109,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f90,f5459]) ).
thf(f10110,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_178 ),
inference(constrained_superposition,[],[f95,f5459]) ).
thf(f10113,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_178 ),
inference(constrained_superposition,[],[f5062,f5459]) ).
thf(f10134,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_178 ),
inference(duplicate_literal_removal,[],[f10110]) ).
thf(f10135,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_178 ),
inference(duplicate_literal_removal,[],[f10109]) ).
thf(f10143,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_17
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f10134,f216]) ).
thf(f10147,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_4
| spl2_26
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f10113,f387]) ).
thf(f10148,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| spl2_26
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f10135,f387]) ).
thf(f10151,plain,
( spl2_31
| spl2_17
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f10143,f5458,f215,f578]) ).
thf(f10154,plain,
( $false
| ~ spl2_4
| spl2_26
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f10147,f99]) ).
thf(f10155,plain,
( ~ spl2_4
| spl2_26
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f10154]) ).
thf(f10156,plain,
( spl2_32
| spl2_26
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f10148,f5458,f386,f582]) ).
thf(f10158,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f6288,f79]) ).
thf(f10159,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f10158]) ).
thf(f10180,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f57,f6889]) ).
thf(f10186,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f10180]) ).
thf(f10194,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl2_247 ),
inference(constrained_superposition,[],[f7740,f80]) ).
thf(f10199,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_247 ),
inference(trivial_inequality_removal,[],[f10194]) ).
thf(f10202,definition,
( spl2_279
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).
thf(f10203,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_279 ),
inference(avatar_component_clause,[],[f10202]) ).
thf(f10205,plain,
( spl2_279
| spl2_247 ),
inference(avatar_split_clause,[],[f10199,f7739,f10202]) ).
thf(f10209,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_279 ),
inference(constrained_superposition,[],[f30,f10203]) ).
thf(f10212,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f10209]) ).
thf(f10216,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_4
| ~ spl2_9
| ~ spl2_138
| ~ spl2_251 ),
inference(constrained_superposition,[],[f6903,f10074]) ).
thf(f10228,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_4
| ~ spl2_9
| ~ spl2_138
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f10216]) ).
thf(f10234,plain,
( spl2_255
| spl2_254
| ~ spl2_4
| ~ spl2_9
| ~ spl2_138
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f10228,f7818,f4178,f151,f98,f7855,f7859]) ).
thf(f10260,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_223 ),
inference(constrained_superposition,[],[f57,f6779]) ).
thf(f10267,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_223 ),
inference(trivial_inequality_removal,[],[f10260]) ).
thf(f10277,definition,
( spl2_281
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_281])],[avatar_definition]) ).
thf(f10278,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_281 ),
inference(avatar_component_clause,[],[f10277]) ).
thf(f10280,plain,
( ~ spl2_162
| spl2_161
| spl2_251
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f10267,f6778,f7818,f4881,f4884]) ).
thf(f10315,definition,
( spl2_283
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_283])],[avatar_definition]) ).
thf(f10316,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_283 ),
inference(avatar_component_clause,[],[f10315]) ).
thf(f10323,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_225 ),
inference(constrained_superposition,[],[f30,f6789]) ).
thf(f10325,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f10323]) ).
thf(f10331,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_222
| ~ spl2_274 ),
inference(constrained_superposition,[],[f9423,f6776]) ).
thf(f10332,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_105
| ~ spl2_274 ),
inference(constrained_superposition,[],[f9423,f3790]) ).
thf(f10333,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_105
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f10332]) ).
thf(f10335,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_222
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f10331]) ).
thf(f10342,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_240 ),
inference(constrained_superposition,[],[f7184,f49]) ).
thf(f10346,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f10342]) ).
thf(f10374,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f24,f10159]) ).
thf(f10380,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f10374]) ).
thf(f10428,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f1785,f29]) ).
thf(f10437,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f10428]) ).
thf(f10447,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_105
| ~ spl2_269 ),
inference(constrained_superposition,[],[f3790,f9162]) ).
thf(f10453,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_224
| ~ spl2_269 ),
inference(constrained_superposition,[],[f6785,f9162]) ).
thf(f10455,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_232
| ~ spl2_269 ),
inference(constrained_superposition,[],[f6889,f9162]) ).
thf(f10464,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_51
| ~ spl2_108
| ~ spl2_269 ),
inference(constrained_superposition,[],[f10043,f9162]) ).
thf(f10500,plain,
( spl2_106
| ~ spl2_224
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f10453,f9161,f6784,f3793]) ).
thf(f10502,plain,
( spl2_109
| ~ spl2_232
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f10455,f9161,f6888,f3804]) ).
thf(f10510,plain,
( $false
| ~ spl2_105
| ~ spl2_269
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f10447,f10333]) ).
thf(f10511,plain,
( ~ spl2_105
| ~ spl2_269
| ~ spl2_274 ),
inference(avatar_contradiction_clause,[],[f10510]) ).
thf(f10515,plain,
( $false
| ~ spl2_51
| ~ spl2_108
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f10464,f1713]) ).
thf(f10516,plain,
( ~ spl2_51
| ~ spl2_108
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f10515]) ).
thf(f10732,definition,
( spl2_286
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_286])],[avatar_definition]) ).
thf(f10733,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_286 ),
inference(avatar_component_clause,[],[f10732]) ).
thf(f10754,definition,
( spl2_289
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_289])],[avatar_definition]) ).
thf(f10755,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_289 ),
inference(avatar_component_clause,[],[f10754]) ).
thf(f10760,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_239 ),
inference(avatar_component_clause,[],[f7145]) ).
thf(f10878,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
= $true ) )
| ~ spl2_239 ),
inference(constrained_superposition,[],[f55,f10760]) ).
thf(f10883,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f10878]) ).
thf(f10904,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f5524]) ).
thf(f10906,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_183 ),
inference(constrained_superposition,[],[f4664,f10904]) ).
thf(f10909,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f10906]) ).
thf(f10993,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_177 ),
inference(avatar_component_clause,[],[f5414]) ).
thf(f11137,definition,
( spl2_302
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).
thf(f11138,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_302 ),
inference(avatar_component_clause,[],[f11137]) ).
thf(f11159,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_56
| ~ spl2_222
| ~ spl2_274 ),
inference(constrained_superposition,[],[f10335,f10437]) ).
thf(f11169,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_56
| ~ spl2_222
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f11159]) ).
thf(f11172,plain,
( spl2_302
| spl2_260
| spl2_255
| ~ spl2_56
| ~ spl2_222
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f11169,f9422,f6775,f1784,f7859,f8512,f11137]) ).
thf(f11175,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_212
| ~ spl2_302 ),
inference(constrained_superposition,[],[f6288,f11138]) ).
thf(f11178,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_212
| ~ spl2_302 ),
inference(trivial_inequality_removal,[],[f11175]) ).
thf(f11182,plain,
( spl2_283
| ~ spl2_212
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f11178,f11137,f6287,f10315]) ).
thf(f11194,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_260 ),
inference(constrained_superposition,[],[f90,f8513]) ).
thf(f11195,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_260 ),
inference(constrained_superposition,[],[f95,f8513]) ).
thf(f11197,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_4
| ~ spl2_260 ),
inference(constrained_superposition,[],[f5062,f8513]) ).
thf(f11225,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_260 ),
inference(duplicate_literal_removal,[],[f11194]) ).
thf(f11228,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_260 ),
inference(duplicate_literal_removal,[],[f11195]) ).
thf(f11232,plain,
( ! [X0: $i] :
( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| spl2_26
| ~ spl2_260 ),
inference(forward_subsumption_resolution,[],[f11225,f387]) ).
thf(f11239,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_4
| spl2_26
| ~ spl2_260 ),
inference(forward_subsumption_resolution,[],[f11197,f387]) ).
thf(f11240,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_17
| ~ spl2_260 ),
inference(forward_subsumption_resolution,[],[f11228,f216]) ).
thf(f11246,plain,
( spl2_32
| spl2_26
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f11232,f8512,f386,f582]) ).
thf(f11249,plain,
( $false
| ~ spl2_4
| spl2_26
| ~ spl2_260 ),
inference(forward_subsumption_resolution,[],[f11239,f99]) ).
thf(f11250,plain,
( ~ spl2_4
| spl2_26
| ~ spl2_260 ),
inference(avatar_contradiction_clause,[],[f11249]) ).
thf(f11251,plain,
( spl2_31
| spl2_17
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f11240,f8512,f215,f578]) ).
thf(f11254,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_103
| ~ spl2_283 ),
inference(constrained_superposition,[],[f3783,f10316]) ).
thf(f11255,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_111
| ~ spl2_283 ),
inference(constrained_superposition,[],[f3816,f10316]) ).
thf(f11257,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_224
| ~ spl2_283 ),
inference(constrained_superposition,[],[f6785,f10316]) ).
thf(f11270,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_183
| ~ spl2_283 ),
inference(constrained_superposition,[],[f10904,f10316]) ).
thf(f11304,plain,
( $false
| ~ spl2_101
| ~ spl2_103
| ~ spl2_283 ),
inference(forward_subsumption_resolution,[],[f11254,f7805]) ).
thf(f11305,plain,
( ~ spl2_101
| ~ spl2_103
| ~ spl2_283 ),
inference(avatar_contradiction_clause,[],[f11304]) ).
thf(f11307,plain,
( spl2_106
| ~ spl2_224
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f11257,f10315,f6784,f3793]) ).
thf(f11308,plain,
( $false
| spl2_147
| ~ spl2_183
| ~ spl2_283 ),
inference(forward_subsumption_resolution,[],[f11270,f4364]) ).
thf(f11309,plain,
( spl2_147
| ~ spl2_183
| ~ spl2_283 ),
inference(avatar_contradiction_clause,[],[f11308]) ).
thf(f11314,plain,
( $false
| spl2_110
| ~ spl2_111
| ~ spl2_283 ),
inference(forward_subsumption_resolution,[],[f11255,f6972]) ).
thf(f11315,plain,
( spl2_110
| ~ spl2_111
| ~ spl2_283 ),
inference(avatar_contradiction_clause,[],[f11314]) ).
thf(f11325,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_177
| ~ spl2_274 ),
inference(constrained_superposition,[],[f9423,f5415]) ).
thf(f11329,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_177
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f11325]) ).
thf(f11333,plain,
( $false
| ~ spl2_51
| ~ spl2_107
| ~ spl2_108 ),
inference(forward_subsumption_resolution,[],[f3798,f10043]) ).
thf(f11334,plain,
( ~ spl2_51
| ~ spl2_107
| ~ spl2_108 ),
inference(avatar_contradiction_clause,[],[f11333]) ).
thf(f11335,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_4
| ~ spl2_183
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f10186,f10909]) ).
thf(f11336,plain,
( ~ spl2_53
| ~ spl2_177
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f11329,f9422,f5414,f1734]) ).
thf(f11338,plain,
( spl2_228
| ~ spl2_229
| ~ spl2_4
| ~ spl2_183
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f11335,f6888,f5524,f98,f6837,f6833]) ).
thf(f11342,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_107 ),
inference(constrained_superposition,[],[f30,f3798]) ).
thf(f11343,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f11342]) ).
thf(f11345,plain,
( spl2_214
| ~ spl2_107 ),
inference(avatar_split_clause,[],[f11343,f3797,f6538]) ).
thf(f11346,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_111
| ~ spl2_220 ),
inference(constrained_superposition,[],[f10054,f6769]) ).
thf(f11347,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_220 ),
inference(constrained_superposition,[],[f90,f6769]) ).
thf(f11348,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_220 ),
inference(constrained_superposition,[],[f30,f6769]) ).
thf(f11349,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f11348]) ).
thf(f11350,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_111
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f11346]) ).
thf(f11351,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_220 ),
inference(trivial_inequality_removal,[],[f11347]) ).
thf(f11352,plain,
( spl2_286
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f11349,f6768,f10732]) ).
thf(f11353,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_233 ),
inference(constrained_superposition,[],[f90,f6892]) ).
thf(f11354,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_233 ),
inference(constrained_superposition,[],[f30,f6892]) ).
thf(f11355,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f11353]) ).
thf(f11356,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f11354]) ).
thf(f11357,plain,
( spl2_286
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f11356,f6891,f10732]) ).
thf(f11378,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_100 ),
inference(constrained_superposition,[],[f24,f3773]) ).
thf(f11385,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_100 ),
inference(trivial_inequality_removal,[],[f11378]) ).
thf(f11409,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_212
| ~ spl2_223 ),
inference(constrained_superposition,[],[f10380,f6779]) ).
thf(f11421,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_212
| ~ spl2_223 ),
inference(trivial_inequality_removal,[],[f11409]) ).
thf(f11427,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_212
| ~ spl2_223
| ~ spl2_239 ),
inference(forward_subsumption_resolution,[],[f11421,f10760]) ).
thf(f11430,plain,
( spl2_161
| spl2_283
| ~ spl2_212
| ~ spl2_223
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f11427,f7145,f6778,f6287,f10315,f4881]) ).
thf(f11447,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_111
| ~ spl2_286 ),
inference(constrained_superposition,[],[f10733,f3816]) ).
thf(f11450,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_111
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f11447]) ).
thf(f11471,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_104 ),
inference(constrained_superposition,[],[f3787,f49]) ).
thf(f11474,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_104 ),
inference(trivial_inequality_removal,[],[f11471]) ).
thf(f11478,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_20
| spl2_50 ),
inference(constrained_superposition,[],[f5909,f305]) ).
thf(f11485,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_20
| ~ spl2_214 ),
inference(constrained_superposition,[],[f6539,f305]) ).
thf(f11487,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_20
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f11485]) ).
thf(f11490,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_20
| spl2_50 ),
inference(trivial_inequality_removal,[],[f11478]) ).
thf(f11499,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_20
| spl2_133
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f11487,f6704]) ).
thf(f11500,plain,
( $false
| ~ spl2_20
| spl2_50
| spl2_54 ),
inference(forward_subsumption_resolution,[],[f11490,f3690]) ).
thf(f11501,plain,
( ~ spl2_20
| spl2_50
| spl2_54 ),
inference(avatar_contradiction_clause,[],[f11500]) ).
thf(f11504,plain,
( $false
| ~ spl2_4
| ~ spl2_20
| spl2_133
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f11499,f99]) ).
thf(f11505,plain,
( ~ spl2_4
| ~ spl2_20
| spl2_133
| ~ spl2_214 ),
inference(avatar_contradiction_clause,[],[f11504]) ).
thf(f11506,plain,
( ~ spl2_63
| ~ spl2_111
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f11350,f6768,f3815,f2403]) ).
thf(f11507,plain,
( spl2_241
| ~ spl2_63
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f11351,f6768,f2403,f7483]) ).
thf(f11508,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_183
| ~ spl2_233 ),
inference(forward_subsumption_resolution,[],[f11355,f10904]) ).
thf(f11510,definition,
( spl2_305
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_305])],[avatar_definition]) ).
thf(f11511,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_305 ),
inference(avatar_component_clause,[],[f11510]) ).
thf(f11512,plain,
( spl2_63
| spl2_305
| spl2_54 ),
inference(avatar_split_clause,[],[f3936,f1737,f11510,f2403]) ).
thf(f11513,plain,
( spl2_138
| ~ spl2_183
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f11508,f6891,f5524,f4178]) ).
thf(f11514,plain,
( ~ spl2_50
| ~ spl2_111
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f11450,f10732,f3815,f1653]) ).
thf(f11518,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_111 ),
inference(constrained_superposition,[],[f10054,f162]) ).
thf(f11520,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_12
| ~ spl2_279 ),
inference(constrained_superposition,[],[f10212,f162]) ).
thf(f11526,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_111 ),
inference(trivial_inequality_removal,[],[f11518]) ).
thf(f11527,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_12
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f11520]) ).
thf(f11533,plain,
( $false
| ~ spl2_12
| ~ spl2_111 ),
inference(forward_subsumption_resolution,[],[f11526,f162]) ).
thf(f11534,plain,
( ~ spl2_12
| ~ spl2_111 ),
inference(avatar_contradiction_clause,[],[f11533]) ).
thf(f11535,plain,
( $false
| ~ spl2_12
| ~ spl2_279 ),
inference(forward_subsumption_resolution,[],[f11527,f162]) ).
thf(f11536,plain,
( ~ spl2_12
| ~ spl2_279 ),
inference(avatar_contradiction_clause,[],[f11535]) ).
thf(f11548,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_27
| ~ spl2_225 ),
inference(constrained_superposition,[],[f10325,f391]) ).
thf(f11554,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_27
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f11548]) ).
thf(f11561,plain,
( $false
| ~ spl2_27
| ~ spl2_177
| ~ spl2_225 ),
inference(forward_subsumption_resolution,[],[f11554,f5415]) ).
thf(f11562,plain,
( ~ spl2_27
| ~ spl2_177
| ~ spl2_225 ),
inference(avatar_contradiction_clause,[],[f11561]) ).
thf(f11575,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_18
| ~ spl2_100 ),
inference(constrained_superposition,[],[f11385,f219]) ).
thf(f11586,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_18
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f11575]) ).
thf(f11594,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_18
| ~ spl2_100 ),
inference(forward_subsumption_resolution,[],[f11586,f219]) ).
thf(f11596,plain,
( spl2_21
| ~ spl2_18
| ~ spl2_100 ),
inference(avatar_split_clause,[],[f11594,f3772,f218,f308]) ).
thf(f11604,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f24,f4179]) ).
thf(f11607,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f11604]) ).
thf(f11614,plain,
( spl2_305
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f11607,f4178,f11510]) ).
thf(f11617,plain,
( ( $true != $true )
| ~ spl2_100
| ~ spl2_161 ),
inference(constrained_superposition,[],[f4882,f3773]) ).
thf(f11628,plain,
( $false
| ~ spl2_100
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f11617]) ).
thf(f11629,plain,
( ~ spl2_100
| ~ spl2_161 ),
inference(avatar_contradiction_clause,[],[f11628]) ).
thf(f11666,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f24,f3794]) ).
thf(f11673,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f11666]) ).
thf(f11704,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_241 ),
inference(constrained_superposition,[],[f57,f7484]) ).
thf(f11711,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f11704]) ).
thf(f11732,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_101 ),
inference(constrained_superposition,[],[f30,f3776]) ).
thf(f11733,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_101 ),
inference(trivial_inequality_removal,[],[f11732]) ).
thf(f11735,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_103
| ~ spl2_214 ),
inference(constrained_superposition,[],[f6539,f3783]) ).
thf(f11737,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_103 ),
inference(constrained_superposition,[],[f30,f3783]) ).
thf(f11739,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_103 ),
inference(trivial_inequality_removal,[],[f11737]) ).
thf(f11740,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_103
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f11735]) ).
thf(f11769,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_101
| ~ spl2_286 ),
inference(constrained_superposition,[],[f10733,f3776]) ).
thf(f11771,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_101
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f11769]) ).
thf(f11772,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_106
| ~ spl2_305 ),
inference(constrained_superposition,[],[f11511,f3794]) ).
thf(f11778,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_106
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f11772]) ).
thf(f11782,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_106
| ~ spl2_239
| ~ spl2_305 ),
inference(forward_subsumption_resolution,[],[f11778,f10760]) ).
thf(f11783,plain,
( spl2_161
| ~ spl2_106
| ~ spl2_239
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f11782,f11510,f7145,f3793,f4881]) ).
thf(f11793,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_106
| ~ spl2_237 ),
inference(constrained_superposition,[],[f11673,f7021]) ).
thf(f11802,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_106
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f11793]) ).
thf(f11806,plain,
( ~ spl2_138
| spl2_21
| ~ spl2_106
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f11802,f7020,f3793,f308,f4178]) ).
thf(f11820,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f24,f3653]) ).
thf(f11822,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f11820]) ).
thf(f11850,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_84
| ~ spl2_223 ),
inference(constrained_superposition,[],[f11822,f6779]) ).
thf(f11863,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_84
| ~ spl2_223 ),
inference(trivial_inequality_removal,[],[f11850]) ).
thf(f11864,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_84
| ~ spl2_223
| ~ spl2_239 ),
inference(forward_subsumption_resolution,[],[f11863,f10760]) ).
thf(f11865,plain,
( spl2_178
| spl2_161
| ~ spl2_84
| ~ spl2_223
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f11864,f7145,f6778,f3652,f4881,f5458]) ).
thf(f11866,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_214
| ~ spl2_222 ),
inference(constrained_superposition,[],[f6539,f6776]) ).
thf(f11867,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_222 ),
inference(constrained_superposition,[],[f90,f6776]) ).
thf(f11869,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_214
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f11866]) ).
thf(f11870,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f11867]) ).
thf(f11879,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_147
| ~ spl2_151 ),
inference(constrained_superposition,[],[f4364,f4551]) ).
thf(f11888,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_151 ),
inference(constrained_superposition,[],[f4664,f4551]) ).
thf(f11893,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f11888]) ).
thf(f11900,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_147
| ~ spl2_151 ),
inference(trivial_inequality_removal,[],[f11879]) ).
thf(f11903,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_4
| ~ spl2_107
| ~ spl2_151 ),
inference(forward_subsumption_resolution,[],[f11893,f3798]) ).
thf(f11907,plain,
( $false
| spl2_133
| spl2_147
| ~ spl2_151 ),
inference(forward_subsumption_resolution,[],[f11900,f6704]) ).
thf(f11908,plain,
( spl2_133
| spl2_147
| ~ spl2_151 ),
inference(avatar_contradiction_clause,[],[f11907]) ).
thf(f11909,plain,
( $false
| ~ spl2_4
| ~ spl2_107
| spl2_133
| ~ spl2_151 ),
inference(forward_subsumption_resolution,[],[f11903,f6704]) ).
thf(f11910,plain,
( ~ spl2_4
| ~ spl2_107
| spl2_133
| ~ spl2_151 ),
inference(avatar_contradiction_clause,[],[f11909]) ).
thf(f11917,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( r @ ( sK0 @ X1 ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_11 ),
inference(extensionality_resolution,[],[f159,f42]) ).
thf(f11919,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_11
| spl2_54 ),
inference(extensionality_resolution,[],[f159,f3690]) ).
thf(f12138,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_104
| ~ spl2_269 ),
inference(constrained_superposition,[],[f3787,f9162]) ).
thf(f12139,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_106
| ~ spl2_269 ),
inference(constrained_superposition,[],[f3794,f9162]) ).
thf(f12141,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_109
| ~ spl2_269 ),
inference(constrained_superposition,[],[f3805,f9162]) ).
thf(f12151,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_233
| ~ spl2_269 ),
inference(constrained_superposition,[],[f6892,f9162]) ).
thf(f12152,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_110
| ~ spl2_269 ),
inference(constrained_superposition,[],[f6972,f9162]) ).
thf(f12157,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_269
| ~ spl2_286 ),
inference(constrained_superposition,[],[f10733,f9162]) ).
thf(f12206,plain,
( $false
| ~ spl2_106
| spl2_252
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f12139,f7841]) ).
thf(f12207,plain,
( ~ spl2_106
| spl2_252
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f12206]) ).
thf(f12216,plain,
( $false
| ~ spl2_50
| spl2_110
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f12152,f1654]) ).
thf(f12217,plain,
( ~ spl2_50
| spl2_110
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f12216]) ).
thf(f12220,plain,
( $false
| ~ spl2_109
| spl2_252
| ~ spl2_269 ),
inference(forward_subsumption_resolution,[],[f12141,f7841]) ).
thf(f12221,plain,
( ~ spl2_109
| spl2_252
| ~ spl2_269 ),
inference(avatar_contradiction_clause,[],[f12220]) ).
thf(f12222,plain,
( spl2_274
| ~ spl2_269
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f12157,f10732,f9161,f9422]) ).
thf(f12226,plain,
( ~ spl2_96
| spl2_104
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f12138,f9161,f3786,f3725]) ).
thf(f12237,plain,
( $false
| ~ spl2_101
| ~ spl2_233
| ~ spl2_269
| ~ spl2_286 ),
inference(forward_subsumption_resolution,[],[f12151,f11771]) ).
thf(f12238,plain,
( ~ spl2_101
| ~ spl2_233
| ~ spl2_269
| ~ spl2_286 ),
inference(avatar_contradiction_clause,[],[f12237]) ).
thf(f12589,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ~ spl2_214
| ~ spl2_222
| ~ spl2_243 ),
inference(constrained_superposition,[],[f11869,f7653]) ).
thf(f12592,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_214
| ~ spl2_222
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f12589]) ).
thf(f12604,plain,
( $false
| ~ spl2_214
| ~ spl2_222
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f12592,f48]) ).
thf(f12605,plain,
( ~ spl2_214
| ~ spl2_222
| ~ spl2_243 ),
inference(avatar_contradiction_clause,[],[f12604]) ).
thf(f12610,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_302 ),
inference(avatar_component_clause,[],[f11137]) ).
thf(f12624,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_302 ),
inference(constrained_superposition,[],[f12610,f79]) ).
thf(f12625,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_302 ),
inference(trivial_inequality_removal,[],[f12624]) ).
thf(f12630,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| spl2_302 ),
inference(constrained_superposition,[],[f74,f12625]) ).
thf(f12635,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| spl2_302 ),
inference(constrained_superposition,[],[f24,f12625]) ).
thf(f12637,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl2_302 ),
inference(trivial_inequality_removal,[],[f12635]) ).
thf(f12644,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| spl2_302 ),
inference(trivial_inequality_removal,[],[f12630]) ).
thf(f12757,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_237
| ~ spl2_241 ),
inference(constrained_superposition,[],[f9876,f7484]) ).
thf(f12760,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| ~ spl2_237
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f12757]) ).
thf(f12823,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_11
| spl2_54 ),
inference(extensionality_resolution,[],[f11917,f3690]) ).
thf(f12827,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X1 ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f11917,f49]) ).
thf(f12830,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f12827]) ).
thf(f12837,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| spl2_54 ),
inference(extensionality_resolution,[],[f12830,f3690]) ).
thf(f12840,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_11 ),
inference(constrained_superposition,[],[f12830,f49]) ).
thf(f12843,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f12840]) ).
thf(f12849,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| spl2_54 ),
inference(extensionality_resolution,[],[f12843,f3690]) ).
thf(f12850,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11
| spl2_54 ),
inference(extensionality_resolution,[],[f12843,f3690]) ).
thf(f12863,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_11
| ~ spl2_101 ),
inference(constrained_superposition,[],[f11733,f12843]) ).
thf(f12874,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_11
| ~ spl2_101 ),
inference(trivial_inequality_removal,[],[f12863]) ).
thf(f12888,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_11
| ~ spl2_101
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f12874,f6539]) ).
thf(f12892,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_11
| ~ spl2_101
| ~ spl2_103
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f12888,f11740]) ).
thf(f12895,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_101
| ~ spl2_103
| ~ spl2_214
| ~ spl2_222 ),
inference(constrained_superposition,[],[f12892,f6776]) ).
thf(f12900,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_101
| ~ spl2_103
| ~ spl2_214
| ~ spl2_222 ),
inference(trivial_inequality_removal,[],[f12895]) ).
thf(f12901,plain,
( spl2_283
| ~ spl2_11
| ~ spl2_101
| ~ spl2_103
| ~ spl2_214
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f12900,f6775,f6538,f3782,f3775,f158,f10315]) ).
thf(f12906,plain,
( spl2_281
| ~ spl2_13
| spl2_21
| spl2_302 ),
inference(avatar_split_clause,[],[f12644,f11137,f308,f196,f10277]) ).
thf(f12911,plain,
( spl2_101
| spl2_283
| ~ spl2_9
| ~ spl2_237
| ~ spl2_241 ),
inference(avatar_split_clause,[],[f12760,f7483,f7020,f151,f10315,f3775]) ).
thf(f12925,plain,
( $false
| ~ spl2_103
| ~ spl2_187
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f5619,f11740]) ).
thf(f12926,plain,
( ~ spl2_103
| ~ spl2_187
| ~ spl2_214 ),
inference(avatar_contradiction_clause,[],[f12925]) ).
thf(f12943,plain,
( spl2_9
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f10883,f7145,f151]) ).
thf(f12954,plain,
( spl2_107
| spl2_104 ),
inference(avatar_split_clause,[],[f11474,f3786,f3797]) ).
thf(f12963,plain,
( spl2_21
| ~ spl2_13
| spl2_187
| ~ spl2_241 ),
inference(avatar_split_clause,[],[f11711,f7483,f5618,f196,f308]) ).
thf(f12973,plain,
( ~ spl2_96
| spl2_105
| ~ spl2_104
| ~ spl2_11
| spl2_54 ),
inference(avatar_split_clause,[],[f12823,f1737,f158,f3786,f3789,f3725]) ).
thf(f12995,plain,
( ( $true != $true )
| ~ spl2_10
| spl2_110 ),
inference(constrained_superposition,[],[f6972,f155]) ).
thf(f12997,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_10
| ~ spl2_286 ),
inference(constrained_superposition,[],[f10733,f155]) ).
thf(f13001,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_10
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f12997]) ).
thf(f13003,plain,
( $false
| ~ spl2_10
| spl2_110 ),
inference(trivial_inequality_removal,[],[f12995]) ).
thf(f13004,plain,
( ~ spl2_10
| spl2_110 ),
inference(avatar_contradiction_clause,[],[f13003]) ).
thf(f13008,plain,
( $false
| ~ spl2_10
| ~ spl2_286 ),
inference(forward_subsumption_resolution,[],[f13001,f155]) ).
thf(f13009,plain,
( ~ spl2_10
| ~ spl2_286 ),
inference(avatar_contradiction_clause,[],[f13008]) ).
thf(f13018,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f90,f5615]) ).
thf(f13019,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_186 ),
inference(constrained_superposition,[],[f30,f5615]) ).
thf(f13020,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f13018]) ).
thf(f13022,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f13019]) ).
thf(f13070,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f30,f10278]) ).
thf(f13072,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f13070]) ).
thf(f13158,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_101
| ~ spl2_286 ),
inference(constrained_superposition,[],[f10733,f3776]) ).
thf(f13162,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_101
| ~ spl2_286 ),
inference(trivial_inequality_removal,[],[f13158]) ).
thf(f13164,plain,
( $false
| ~ spl2_101
| ~ spl2_108
| ~ spl2_286 ),
inference(forward_subsumption_resolution,[],[f13162,f3801]) ).
thf(f13165,plain,
( ~ spl2_101
| ~ spl2_108
| ~ spl2_286 ),
inference(avatar_contradiction_clause,[],[f13164]) ).
thf(f13223,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_226
| ~ spl2_240 ),
inference(constrained_superposition,[],[f7184,f6792]) ).
thf(f13239,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_226
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f13223]) ).
thf(f13245,plain,
( ~ spl2_247
| spl2_244
| ~ spl2_226
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f13239,f7183,f6791,f7656,f7739]) ).
thf(f13253,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_247 ),
inference(constrained_superposition,[],[f7740,f29]) ).
thf(f13256,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_247 ),
inference(trivial_inequality_removal,[],[f13253]) ).
thf(f13258,plain,
( spl2_279
| spl2_260
| spl2_247 ),
inference(avatar_split_clause,[],[f13256,f7739,f8512,f10202]) ).
thf(f13266,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_279
| ~ spl2_281 ),
inference(constrained_superposition,[],[f13072,f10203]) ).
thf(f13270,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_279
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f13266]) ).
thf(f13273,plain,
( $false
| ~ spl2_4
| ~ spl2_279
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f13270,f99]) ).
thf(f13274,plain,
( ~ spl2_4
| ~ spl2_279
| ~ spl2_281 ),
inference(avatar_contradiction_clause,[],[f13273]) ).
thf(f13276,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_225 ),
inference(constrained_superposition,[],[f90,f6789]) ).
thf(f13279,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_225 ),
inference(trivial_inequality_removal,[],[f13276]) ).
thf(f13347,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_70
| ~ spl2_103 ),
inference(constrained_superposition,[],[f11739,f2539]) ).
thf(f13354,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_70
| ~ spl2_103 ),
inference(trivial_inequality_removal,[],[f13347]) ).
thf(f13362,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_70
| ~ spl2_103
| spl2_133 ),
inference(forward_subsumption_resolution,[],[f13354,f6704]) ).
thf(f13364,plain,
( $false
| ~ spl2_70
| ~ spl2_103
| ~ spl2_105
| spl2_133 ),
inference(forward_subsumption_resolution,[],[f13362,f3790]) ).
thf(f13365,plain,
( ~ spl2_70
| ~ spl2_103
| ~ spl2_105
| spl2_133 ),
inference(avatar_contradiction_clause,[],[f13364]) ).
thf(f13369,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_9 ),
inference(extensionality_resolution,[],[f152,f48]) ).
thf(f13370,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_9 ),
inference(extensionality_resolution,[],[f152,f48]) ).
thf(f13584,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_269 ),
inference(avatar_component_clause,[],[f9161]) ).
thf(f13592,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_9
| spl2_269 ),
inference(extensionality_resolution,[],[f152,f13584]) ).
thf(f13593,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| spl2_269 ),
inference(extensionality_resolution,[],[f152,f13584]) ).
thf(f13594,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_11
| spl2_269 ),
inference(extensionality_resolution,[],[f12843,f13584]) ).
thf(f13595,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_11
| spl2_269 ),
inference(extensionality_resolution,[],[f12843,f13584]) ).
thf(f13597,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_11
| spl2_269 ),
inference(extensionality_resolution,[],[f12830,f13584]) ).
thf(f13602,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_269 ),
inference(extensionality_resolution,[],[f81,f13584]) ).
thf(f13603,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_269 ),
inference(extensionality_resolution,[],[f81,f13584]) ).
thf(f13604,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_269 ),
inference(extensionality_resolution,[],[f55,f13584]) ).
thf(f13605,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_269 ),
inference(extensionality_resolution,[],[f55,f13584]) ).
thf(f13606,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_269 ),
inference(extensionality_resolution,[],[f51,f13584]) ).
thf(f13607,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_269 ),
inference(extensionality_resolution,[],[f51,f13584]) ).
thf(f13609,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_269 ),
inference(extensionality_resolution,[],[f29,f13584]) ).
thf(f13612,definition,
( spl2_320
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_320])],[avatar_definition]) ).
thf(f13613,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_320 ),
inference(avatar_component_clause,[],[f13612]) ).
thf(f13615,definition,
( spl2_321
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_321])],[avatar_definition]) ).
thf(f13616,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_321 ),
inference(avatar_component_clause,[],[f13615]) ).
thf(f13617,plain,
( spl2_320
| spl2_321
| spl2_269 ),
inference(avatar_split_clause,[],[f13603,f9161,f13615,f13612]) ).
thf(f13619,definition,
( spl2_322
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_322])],[avatar_definition]) ).
thf(f13620,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_322 ),
inference(avatar_component_clause,[],[f13619]) ).
thf(f13622,definition,
( spl2_323
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_323])],[avatar_definition]) ).
thf(f13623,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_323 ),
inference(avatar_component_clause,[],[f13622]) ).
thf(f13624,plain,
( spl2_322
| spl2_323
| spl2_269 ),
inference(avatar_split_clause,[],[f13602,f9161,f13622,f13619]) ).
thf(f13626,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| spl2_302
| ~ spl2_321 ),
inference(constrained_superposition,[],[f12637,f13616]) ).
thf(f13628,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_84
| ~ spl2_321 ),
inference(constrained_superposition,[],[f11822,f13616]) ).
thf(f13629,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_321 ),
inference(constrained_superposition,[],[f95,f13616]) ).
thf(f13641,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_84
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f13628]) ).
thf(f13643,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f13629]) ).
thf(f13645,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| spl2_302
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f13626]) ).
thf(f13651,plain,
( ~ spl2_236
| spl2_175
| spl2_178
| ~ spl2_84
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f13641,f13615,f3652,f5458,f5408,f6948]) ).
thf(f13656,plain,
( spl2_279
| ~ spl2_236
| spl2_175
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f13643,f13615,f5408,f6948,f10202]) ).
thf(f13657,plain,
( spl2_175
| ~ spl2_236
| spl2_302
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f13645,f13615,f11137,f6948,f5408]) ).
thf(f13659,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_103
| ~ spl2_320 ),
inference(constrained_superposition,[],[f11739,f13613]) ).
thf(f13660,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_186
| ~ spl2_320 ),
inference(constrained_superposition,[],[f13022,f13613]) ).
thf(f13664,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_186
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f13660]) ).
thf(f13668,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_103
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f13659]) ).
thf(f13669,plain,
( $false
| ~ spl2_186
| ~ spl2_251
| ~ spl2_320 ),
inference(forward_subsumption_resolution,[],[f13664,f7819]) ).
thf(f13670,plain,
( ~ spl2_186
| ~ spl2_251
| ~ spl2_320 ),
inference(avatar_contradiction_clause,[],[f13669]) ).
thf(f13672,plain,
( $false
| ~ spl2_103
| ~ spl2_222
| ~ spl2_320 ),
inference(forward_subsumption_resolution,[],[f13668,f6776]) ).
thf(f13673,plain,
( ~ spl2_103
| ~ spl2_222
| ~ spl2_320 ),
inference(avatar_contradiction_clause,[],[f13672]) ).
thf(f13679,plain,
( ~ spl2_302
| spl2_237
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f11870,f6775,f7020,f11137]) ).
thf(f13681,definition,
( spl2_326
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_326])],[avatar_definition]) ).
thf(f13682,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_326 ),
inference(avatar_component_clause,[],[f13681]) ).
thf(f13683,plain,
( spl2_326
| ~ spl2_147
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f13279,f6788,f4363,f13681]) ).
thf(f13684,plain,
( spl2_102
| spl2_103
| spl2_269 ),
inference(avatar_split_clause,[],[f13607,f9161,f3782,f3779]) ).
thf(f13685,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_107 ),
inference(avatar_component_clause,[],[f3797]) ).
thf(f13691,plain,
( spl2_101
| spl2_100
| spl2_269 ),
inference(avatar_split_clause,[],[f13606,f9161,f3772,f3775]) ).
thf(f13750,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_110
| ~ spl2_274 ),
inference(constrained_superposition,[],[f9423,f3812]) ).
thf(f13753,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_110 ),
inference(constrained_superposition,[],[f30,f3812]) ).
thf(f13754,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_110 ),
inference(trivial_inequality_removal,[],[f13753]) ).
thf(f13757,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_110
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f13750]) ).
thf(f13758,plain,
( spl2_289
| ~ spl2_110 ),
inference(avatar_split_clause,[],[f13754,f3811,f10754]) ).
thf(f13765,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_237 ),
inference(constrained_superposition,[],[f57,f7021]) ).
thf(f13779,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f13765]) ).
thf(f13799,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_187
| ~ spl2_283 ),
inference(constrained_superposition,[],[f5619,f10316]) ).
thf(f13801,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_222
| ~ spl2_283 ),
inference(constrained_superposition,[],[f6776,f10316]) ).
thf(f13802,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_225
| ~ spl2_283 ),
inference(constrained_superposition,[],[f6789,f10316]) ).
thf(f13843,plain,
( spl2_103
| ~ spl2_222
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f13801,f10315,f6775,f3782]) ).
thf(f13851,plain,
( $false
| spl2_107
| ~ spl2_187
| ~ spl2_283 ),
inference(forward_subsumption_resolution,[],[f13799,f13685]) ).
thf(f13852,plain,
( spl2_107
| ~ spl2_187
| ~ spl2_283 ),
inference(avatar_contradiction_clause,[],[f13851]) ).
thf(f13854,plain,
( spl2_101
| ~ spl2_225
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f13802,f10315,f6788,f3775]) ).
thf(f13865,plain,
( ~ spl2_96
| ~ spl2_7
| spl2_63
| ~ spl2_11
| spl2_54 ),
inference(avatar_split_clause,[],[f11919,f1737,f158,f2403,f120,f3725]) ).
thf(f13866,plain,
( spl2_107
| spl2_187
| spl2_103
| ~ spl2_11
| spl2_269 ),
inference(avatar_split_clause,[],[f13595,f9161,f158,f3782,f5618,f3797]) ).
thf(f13871,plain,
( spl2_107
| spl2_51
| spl2_105
| ~ spl2_11
| spl2_54 ),
inference(avatar_split_clause,[],[f12850,f1737,f158,f3789,f1712,f3797]) ).
thf(f13874,plain,
( spl2_14
| ~ spl2_13
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f13369,f151,f196,f199]) ).
thf(f13878,plain,
( spl2_2
| spl2_107
| ~ spl2_7
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f10346,f7183,f120,f3797,f67]) ).
thf(f13879,plain,
( spl2_107
| spl2_101
| spl2_187
| ~ spl2_11
| spl2_269 ),
inference(avatar_split_clause,[],[f13594,f9161,f158,f5618,f3775,f3797]) ).
thf(f13882,plain,
( ~ spl2_13
| spl2_107
| spl2_21
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f13779,f7020,f308,f3797,f196]) ).
thf(f13884,definition,
( spl2_328
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_328])],[avatar_definition]) ).
thf(f13885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_328 ),
inference(avatar_component_clause,[],[f13884]) ).
thf(f13886,plain,
( spl2_105
| spl2_328
| spl2_269 ),
inference(avatar_split_clause,[],[f13604,f9161,f13884,f3789]) ).
thf(f13887,plain,
( spl2_187
| spl2_101
| ~ spl2_104
| ~ spl2_11
| spl2_269 ),
inference(avatar_split_clause,[],[f13597,f9161,f158,f3786,f3775,f5618]) ).
thf(f13888,plain,
( ~ spl2_50
| ~ spl2_110
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f13757,f9422,f3811,f1653]) ).
thf(f13890,plain,
( spl2_16
| ~ spl2_13
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f13370,f151,f196,f207]) ).
thf(f13895,plain,
( ~ spl2_6
| spl2_241
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f13020,f5614,f7483,f105]) ).
thf(f13899,plain,
( spl2_107
| spl2_108
| spl2_51
| ~ spl2_11
| spl2_54 ),
inference(avatar_split_clause,[],[f12849,f1737,f158,f1712,f3800,f3797]) ).
thf(f13902,plain,
( spl2_109
| spl2_108
| spl2_269 ),
inference(avatar_split_clause,[],[f13609,f9161,f3800,f3804]) ).
thf(f13903,plain,
( spl2_51
| ~ spl2_104
| spl2_108
| ~ spl2_11
| spl2_54 ),
inference(avatar_split_clause,[],[f12837,f1737,f158,f3800,f3786,f1712]) ).
thf(f13904,plain,
( spl2_328
| spl2_108
| spl2_269 ),
inference(avatar_split_clause,[],[f13605,f9161,f3800,f13884]) ).
thf(f13907,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f309,f49]) ).
thf(f13912,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f13907]) ).
thf(f13914,plain,
( spl2_4
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f13912,f308,f98]) ).
thf(f13915,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f30,f106]) ).
thf(f13916,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f13915]) ).
thf(f13931,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_11
| spl2_133 ),
inference(extensionality_resolution,[],[f12843,f6704]) ).
thf(f13932,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_11
| spl2_133 ),
inference(extensionality_resolution,[],[f12843,f6704]) ).
thf(f13934,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_11
| spl2_133 ),
inference(extensionality_resolution,[],[f12830,f6704]) ).
thf(f13939,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_133 ),
inference(extensionality_resolution,[],[f81,f6704]) ).
thf(f13949,plain,
( spl2_51
| spl2_187
| spl2_233
| ~ spl2_11
| spl2_133 ),
inference(avatar_split_clause,[],[f13931,f4037,f158,f6891,f5618,f1712]) ).
thf(f13951,plain,
( spl2_51
| ~ spl2_221
| spl2_233
| ~ spl2_11
| spl2_133 ),
inference(avatar_split_clause,[],[f13934,f4037,f158,f6891,f6771,f1712]) ).
thf(f13953,plain,
( spl2_51
| spl2_220
| spl2_187
| ~ spl2_11
| spl2_133 ),
inference(avatar_split_clause,[],[f13932,f4037,f158,f5618,f6768,f1712]) ).
thf(f13956,plain,
( spl2_222
| spl2_223
| spl2_133 ),
inference(avatar_split_clause,[],[f13939,f4037,f6778,f6775]) ).
thf(f13978,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_4
| ~ spl2_20 ),
inference(constrained_superposition,[],[f4591,f305]) ).
thf(f13979,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| spl2_4
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f13978]) ).
thf(f13982,plain,
( $false
| spl2_4
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f13979,f48]) ).
thf(f13983,plain,
( spl2_4
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f13982]) ).
thf(f13989,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_177 ),
inference(constrained_superposition,[],[f90,f5415]) ).
thf(f13991,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_177 ),
inference(trivial_inequality_removal,[],[f13989]) ).
thf(f14008,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_6
| ~ spl2_63 ),
inference(constrained_superposition,[],[f13916,f3942]) ).
thf(f14011,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_6
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f14008]) ).
thf(f14073,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_106 ),
inference(constrained_superposition,[],[f24,f3794]) ).
thf(f14075,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_106 ),
inference(trivial_inequality_removal,[],[f14073]) ).
thf(f14082,plain,
( spl2_328
| ~ spl2_106 ),
inference(avatar_split_clause,[],[f14075,f3793,f13884]) ).
thf(f14085,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_109
| ~ spl2_240 ),
inference(constrained_superposition,[],[f7184,f3805]) ).
thf(f14086,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_109 ),
inference(constrained_superposition,[],[f95,f3805]) ).
thf(f14087,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_109 ),
inference(constrained_superposition,[],[f74,f3805]) ).
thf(f14092,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_109 ),
inference(constrained_superposition,[],[f24,f3805]) ).
thf(f14093,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f14087]) ).
thf(f14095,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_109
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f14085]) ).
thf(f14097,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f14092]) ).
thf(f14099,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f14086]) ).
thf(f14102,plain,
( spl2_328
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f14097,f3804,f13884]) ).
thf(f14106,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_11
| spl2_183 ),
inference(constrained_superposition,[],[f5525,f12843]) ).
thf(f14107,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_11
| spl2_183 ),
inference(trivial_inequality_removal,[],[f14106]) ).
thf(f14109,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_4
| ~ spl2_11
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f14107,f4591]) ).
thf(f14110,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_4
| ~ spl2_11
| spl2_183 ),
inference(forward_subsumption_resolution,[],[f14109,f48]) ).
thf(f14111,plain,
( spl2_187
| spl2_4
| ~ spl2_11
| spl2_183 ),
inference(avatar_split_clause,[],[f14110,f5524,f158,f98,f5618]) ).
thf(f14112,plain,
( ~ spl2_227
| spl2_228
| ~ spl2_109
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f14095,f7183,f3804,f6833,f6830]) ).
thf(f14126,plain,
( ( $true != $true )
| ~ spl2_106
| ~ spl2_228 ),
inference(constrained_superposition,[],[f6834,f3794]) ).
thf(f14128,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_228 ),
inference(constrained_superposition,[],[f6834,f49]) ).
thf(f14132,plain,
( $false
| ~ spl2_106
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f14126]) ).
thf(f14133,plain,
( ~ spl2_106
| ~ spl2_228 ),
inference(avatar_contradiction_clause,[],[f14132]) ).
thf(f14135,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f14128]) ).
thf(f14137,plain,
( $false
| ~ spl2_6
| ~ spl2_63
| ~ spl2_228 ),
inference(forward_subsumption_resolution,[],[f14135,f14011]) ).
thf(f14138,plain,
( ~ spl2_6
| ~ spl2_63
| ~ spl2_228 ),
inference(avatar_contradiction_clause,[],[f14137]) ).
thf(f14140,plain,
( spl2_108
| ~ spl2_237
| ~ spl2_138
| ~ spl2_9
| spl2_269 ),
inference(avatar_split_clause,[],[f13593,f9161,f151,f4178,f7020,f3800]) ).
thf(f14141,plain,
( spl2_105
| ~ spl2_237
| ~ spl2_138
| ~ spl2_9
| spl2_269 ),
inference(avatar_split_clause,[],[f13592,f9161,f151,f4178,f7020,f3789]) ).
thf(f14142,plain,
( ~ spl2_6
| spl2_237
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f13991,f5414,f7020,f105]) ).
thf(f14211,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f30,f10278]) ).
thf(f14213,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f14211]) ).
thf(f14236,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_302 ),
inference(constrained_superposition,[],[f12610,f79]) ).
thf(f14237,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_302 ),
inference(trivial_inequality_removal,[],[f14236]) ).
thf(f14238,plain,
( $false
| ~ spl2_244
| spl2_302 ),
inference(forward_subsumption_resolution,[],[f14237,f7657]) ).
thf(f14239,plain,
( ~ spl2_244
| spl2_302 ),
inference(avatar_contradiction_clause,[],[f14238]) ).
thf(f14308,plain,
( $false
| ~ spl2_223
| ~ spl2_244 ),
inference(forward_subsumption_resolution,[],[f6779,f7657]) ).
thf(f14309,plain,
( ~ spl2_223
| ~ spl2_244 ),
inference(avatar_contradiction_clause,[],[f14308]) ).
thf(f14316,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f57,f6889]) ).
thf(f14322,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f14316]) ).
thf(f14343,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_223 ),
inference(constrained_superposition,[],[f95,f6779]) ).
thf(f14344,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_223 ),
inference(constrained_superposition,[],[f74,f6779]) ).
thf(f14354,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_223 ),
inference(trivial_inequality_removal,[],[f14343]) ).
thf(f14356,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_223 ),
inference(trivial_inequality_removal,[],[f14344]) ).
thf(f14390,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_254
| ~ spl2_281 ),
inference(constrained_superposition,[],[f14213,f7856]) ).
thf(f14392,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_254
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f14390]) ).
thf(f14394,plain,
( $false
| ~ spl2_51
| ~ spl2_254
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f14392,f1713]) ).
thf(f14395,plain,
( ~ spl2_51
| ~ spl2_254
| ~ spl2_281 ),
inference(avatar_contradiction_clause,[],[f14394]) ).
thf(f14397,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_320 ),
inference(constrained_superposition,[],[f90,f13613]) ).
thf(f14400,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f14397]) ).
thf(f14404,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_302
| ~ spl2_320 ),
inference(forward_subsumption_resolution,[],[f14400,f11138]) ).
thf(f14405,plain,
( spl2_241
| ~ spl2_302
| ~ spl2_320 ),
inference(avatar_split_clause,[],[f14404,f13612,f11137,f7483]) ).
thf(f14413,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_321 ),
inference(constrained_superposition,[],[f74,f13616]) ).
thf(f14421,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_321 ),
inference(trivial_inequality_removal,[],[f14413]) ).
thf(f14428,plain,
( spl2_175
| spl2_281
| ~ spl2_176
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f14421,f13615,f5411,f10277,f5408]) ).
thf(f14490,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_322 ),
inference(constrained_superposition,[],[f90,f13620]) ).
thf(f14492,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f14490]) ).
thf(f14494,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_183
| ~ spl2_322 ),
inference(forward_subsumption_resolution,[],[f14492,f10904]) ).
thf(f14495,plain,
( spl2_326
| ~ spl2_183
| ~ spl2_322 ),
inference(avatar_split_clause,[],[f14494,f13619,f5524,f13681]) ).
thf(f14496,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_16
| ~ spl2_326 ),
inference(constrained_superposition,[],[f208,f13682]) ).
thf(f14500,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_326 ),
inference(constrained_superposition,[],[f74,f13682]) ).
thf(f14501,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_326 ),
inference(constrained_superposition,[],[f57,f13682]) ).
thf(f14506,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f14501]) ).
thf(f14510,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f14500]) ).
thf(f14511,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_16
| ~ spl2_326 ),
inference(trivial_inequality_removal,[],[f14496]) ).
thf(f14516,plain,
( ~ spl2_13
| spl2_251
| spl2_21
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f14506,f13681,f308,f7818,f196]) ).
thf(f14517,plain,
( spl2_21
| ~ spl2_13
| spl2_281
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f14510,f13681,f10277,f196,f308]) ).
thf(f14518,plain,
( spl2_281
| ~ spl2_16
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f14511,f13681,f207,f10277]) ).
thf(f14529,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f30,f10278]) ).
thf(f14531,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f14529]) ).
thf(f14544,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_225
| ~ spl2_281 ),
inference(constrained_superposition,[],[f14531,f6789]) ).
thf(f14549,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_225
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f14544]) ).
thf(f14550,plain,
( $false
| ~ spl2_107
| ~ spl2_225
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f14549,f3798]) ).
thf(f14551,plain,
( ~ spl2_107
| ~ spl2_225
| ~ spl2_281 ),
inference(avatar_contradiction_clause,[],[f14550]) ).
thf(f14552,plain,
( spl2_187
| spl2_228
| ~ spl2_229
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f14322,f6888,f6837,f6833,f5618]) ).
thf(f14553,plain,
( ( $true != $true )
| ~ spl2_224
| ~ spl2_228 ),
inference(constrained_superposition,[],[f6834,f6785]) ).
thf(f14559,plain,
( $false
| ~ spl2_224
| ~ spl2_228 ),
inference(trivial_inequality_removal,[],[f14553]) ).
thf(f14560,plain,
( ~ spl2_224
| ~ spl2_228 ),
inference(avatar_contradiction_clause,[],[f14559]) ).
thf(f14564,plain,
( spl2_228
| spl2_110
| ~ spl2_227
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f14099,f3804,f6830,f3811,f6833]) ).
thf(f14565,plain,
( ~ spl2_239
| spl2_279
| spl2_161
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f14354,f6778,f4881,f10202,f7145]) ).
thf(f14567,plain,
( ( $true != $true )
| ~ spl2_32
| ~ spl2_183 ),
inference(constrained_superposition,[],[f583,f10904]) ).
thf(f14568,plain,
( ( $true != $true )
| ~ spl2_32
| ~ spl2_63 ),
inference(constrained_superposition,[],[f583,f3942]) ).
thf(f14569,plain,
( $false
| ~ spl2_32
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f14567]) ).
thf(f14570,plain,
( ~ spl2_32
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f14569]) ).
thf(f14571,plain,
( $false
| ~ spl2_32
| ~ spl2_63 ),
inference(trivial_inequality_removal,[],[f14568]) ).
thf(f14572,plain,
( ~ spl2_32
| ~ spl2_63 ),
inference(avatar_contradiction_clause,[],[f14571]) ).
thf(f14574,plain,
( ~ spl2_229
| spl2_228
| spl2_177
| ~ spl2_109 ),
inference(avatar_split_clause,[],[f14093,f3804,f5414,f6833,f6837]) ).
thf(f14578,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_133 ),
inference(extensionality_resolution,[],[f81,f6704]) ).
thf(f14579,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_133 ),
inference(extensionality_resolution,[],[f55,f6704]) ).
thf(f14581,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_133 ),
inference(extensionality_resolution,[],[f51,f6704]) ).
thf(f14582,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_133 ),
inference(extensionality_resolution,[],[f51,f6704]) ).
thf(f14585,plain,
( spl2_232
| spl2_233
| spl2_133 ),
inference(avatar_split_clause,[],[f14581,f4037,f6891,f6888]) ).
thf(f14586,plain,
( spl2_220
| spl2_224
| spl2_133 ),
inference(avatar_split_clause,[],[f14582,f4037,f6784,f6768]) ).
thf(f14587,plain,
( spl2_147
| spl2_240
| spl2_133 ),
inference(avatar_split_clause,[],[f14579,f4037,f7183,f4363]) ).
thf(f14588,plain,
( spl2_226
| spl2_225
| spl2_133 ),
inference(avatar_split_clause,[],[f14578,f4037,f6788,f6791]) ).
thf(f14609,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_229 ),
inference(constrained_superposition,[],[f6838,f50]) ).
thf(f14611,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_229 ),
inference(trivial_inequality_removal,[],[f14609]) ).
thf(f14617,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f74,f4179]) ).
thf(f14626,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f14617]) ).
thf(f14651,plain,
( $false
| ~ spl2_27
| spl2_177 ),
inference(forward_subsumption_resolution,[],[f10993,f391]) ).
thf(f14652,plain,
( ~ spl2_27
| spl2_177 ),
inference(avatar_contradiction_clause,[],[f14651]) ).
thf(f14654,plain,
( spl2_53
| spl2_229 ),
inference(avatar_split_clause,[],[f14611,f6837,f1734]) ).
thf(f14655,plain,
( spl2_53
| ~ spl2_13
| spl2_21
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f14626,f4178,f308,f196,f1734]) ).
thf(f14696,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_105
| ~ spl2_289 ),
inference(constrained_superposition,[],[f10755,f3790]) ).
thf(f14697,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_105
| ~ spl2_214 ),
inference(constrained_superposition,[],[f6539,f3790]) ).
thf(f14698,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_105 ),
inference(constrained_superposition,[],[f90,f3790]) ).
thf(f14700,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_105
| ~ spl2_214 ),
inference(trivial_inequality_removal,[],[f14697]) ).
thf(f14701,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_105
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f14696]) ).
thf(f14702,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_105 ),
inference(trivial_inequality_removal,[],[f14698]) ).
thf(f14704,plain,
( $false
| ~ spl2_51
| ~ spl2_105
| ~ spl2_214 ),
inference(forward_subsumption_resolution,[],[f14700,f1713]) ).
thf(f14705,plain,
( ~ spl2_51
| ~ spl2_105
| ~ spl2_214 ),
inference(avatar_contradiction_clause,[],[f14704]) ).
thf(f14707,plain,
( $false
| ~ spl2_28
| spl2_107 ),
inference(forward_subsumption_resolution,[],[f13685,f395]) ).
thf(f14708,plain,
( ~ spl2_28
| spl2_107 ),
inference(avatar_contradiction_clause,[],[f14707]) ).
thf(f14709,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_107
| ~ spl2_152 ),
inference(constrained_superposition,[],[f13685,f4598]) ).
thf(f14712,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_107
| ~ spl2_152 ),
inference(trivial_inequality_removal,[],[f14709]) ).
thf(f14715,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_107
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f14712,f48]) ).
thf(f14716,plain,
( $false
| spl2_54
| spl2_107
| ~ spl2_152 ),
inference(forward_subsumption_resolution,[],[f14715,f3690]) ).
thf(f14717,plain,
( spl2_54
| spl2_107
| ~ spl2_152 ),
inference(avatar_contradiction_clause,[],[f14716]) ).
thf(f14718,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_187 ),
inference(constrained_superposition,[],[f30,f5619]) ).
thf(f14719,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f14718]) ).
thf(f14744,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_224 ),
inference(constrained_superposition,[],[f24,f6785]) ).
thf(f14747,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f14744]) ).
thf(f14772,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_279 ),
inference(constrained_superposition,[],[f30,f10203]) ).
thf(f14775,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f14772]) ).
thf(f14778,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_100 ),
inference(constrained_superposition,[],[f95,f3773]) ).
thf(f14787,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_100 ),
inference(trivial_inequality_removal,[],[f14778]) ).
thf(f14794,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_102 ),
inference(constrained_superposition,[],[f95,f3780]) ).
thf(f14802,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_102 ),
inference(trivial_inequality_removal,[],[f14794]) ).
thf(f14828,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_226 ),
inference(constrained_superposition,[],[f95,f6792]) ).
thf(f14836,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_226 ),
inference(trivial_inequality_removal,[],[f14828]) ).
thf(f14891,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_305 ),
inference(constrained_superposition,[],[f11511,f49]) ).
thf(f14898,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f14891]) ).
thf(f14909,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_100
| ~ spl2_328 ),
inference(constrained_superposition,[],[f13885,f3773]) ).
thf(f14910,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_226
| ~ spl2_328 ),
inference(constrained_superposition,[],[f13885,f6792]) ).
thf(f14916,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_226
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f14910]) ).
thf(f14918,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_100
| ~ spl2_328 ),
inference(trivial_inequality_removal,[],[f14909]) ).
thf(f14922,plain,
( spl2_244
| ~ spl2_253
| ~ spl2_226
| ~ spl2_328 ),
inference(avatar_split_clause,[],[f14916,f13884,f6791,f7844,f7656]) ).
thf(f14923,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_100
| ~ spl2_224
| ~ spl2_328 ),
inference(forward_subsumption_resolution,[],[f14918,f6785]) ).
thf(f14924,plain,
( spl2_175
| ~ spl2_100
| ~ spl2_224
| ~ spl2_328 ),
inference(avatar_split_clause,[],[f14923,f13884,f6784,f3772,f5408]) ).
thf(f14927,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_108 ),
inference(constrained_superposition,[],[f90,f3801]) ).
thf(f14931,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_108 ),
inference(trivial_inequality_removal,[],[f14927]) ).
thf(f14937,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_102
| ~ spl2_224 ),
inference(constrained_superposition,[],[f14747,f3780]) ).
thf(f14938,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_224
| ~ spl2_323 ),
inference(constrained_superposition,[],[f14747,f13623]) ).
thf(f14946,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_102
| ~ spl2_224 ),
inference(trivial_inequality_removal,[],[f14937]) ).
thf(f14947,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_224
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f14938]) ).
thf(f14952,plain,
( ~ spl2_106
| spl2_161
| ~ spl2_102
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f14946,f6784,f3779,f4881,f3793]) ).
thf(f14953,plain,
( spl2_244
| ~ spl2_253
| ~ spl2_224
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f14947,f13622,f6784,f7844,f7656]) ).
thf(f14960,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_279
| ~ spl2_322 ),
inference(constrained_superposition,[],[f14775,f13620]) ).
thf(f14961,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_281
| ~ spl2_322 ),
inference(constrained_superposition,[],[f14531,f13620]) ).
thf(f14965,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_279
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f14960]) ).
thf(f14967,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_281
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f14961]) ).
thf(f14968,plain,
( $false
| ~ spl2_183
| ~ spl2_279
| ~ spl2_322 ),
inference(forward_subsumption_resolution,[],[f14965,f10904]) ).
thf(f14969,plain,
( ~ spl2_183
| ~ spl2_279
| ~ spl2_322 ),
inference(avatar_contradiction_clause,[],[f14968]) ).
thf(f14970,plain,
( $false
| ~ spl2_187
| ~ spl2_281
| ~ spl2_322 ),
inference(forward_subsumption_resolution,[],[f14967,f5619]) ).
thf(f14971,plain,
( ~ spl2_187
| ~ spl2_281
| ~ spl2_322 ),
inference(avatar_contradiction_clause,[],[f14970]) ).
thf(f14972,plain,
( spl2_237
| ~ spl2_63
| ~ spl2_105 ),
inference(avatar_split_clause,[],[f14702,f3789,f2403,f7020]) ).
thf(f14973,plain,
( ~ spl2_247
| spl2_110
| spl2_244
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f14836,f6791,f7656,f3811,f7739]) ).
thf(f14975,plain,
( ~ spl2_147
| spl2_138
| ~ spl2_108 ),
inference(avatar_split_clause,[],[f14931,f3800,f4178,f4363]) ).
thf(f14976,plain,
( ~ spl2_162
| spl2_281
| spl2_161
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f14356,f6778,f4881,f10277,f4884]) ).
thf(f14977,plain,
( ~ spl2_63
| ~ spl2_105
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f14701,f10754,f3789,f2403]) ).
thf(f14979,plain,
( spl2_51
| spl2_2
| ~ spl2_7
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f14898,f11510,f120,f67,f1712]) ).
thf(f15074,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_253 ),
inference(constrained_superposition,[],[f7845,f51]) ).
thf(f15078,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_253 ),
inference(trivial_inequality_removal,[],[f15074]) ).
thf(f15081,plain,
( spl2_178
| spl2_254
| spl2_253 ),
inference(avatar_split_clause,[],[f15078,f7844,f7855,f5458]) ).
thf(f15082,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_254
| ~ spl2_279 ),
inference(constrained_superposition,[],[f14775,f7856]) ).
thf(f15083,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_254 ),
inference(constrained_superposition,[],[f90,f7856]) ).
thf(f15085,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_254
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f15082]) ).
thf(f15087,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_254 ),
inference(trivial_inequality_removal,[],[f15083]) ).
thf(f15088,plain,
( $false
| ~ spl2_63
| ~ spl2_254
| ~ spl2_279 ),
inference(forward_subsumption_resolution,[],[f15085,f3942]) ).
thf(f15089,plain,
( ~ spl2_63
| ~ spl2_254
| ~ spl2_279 ),
inference(avatar_contradiction_clause,[],[f15088]) ).
thf(f15090,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_63
| ~ spl2_254 ),
inference(forward_subsumption_resolution,[],[f15087,f3942]) ).
thf(f15091,plain,
( spl2_326
| ~ spl2_63
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f15090,f7855,f2403,f13681]) ).
thf(f15092,plain,
( spl2_175
| ~ spl2_236
| spl2_110
| ~ spl2_100 ),
inference(avatar_split_clause,[],[f14787,f3772,f3811,f6948,f5408]) ).
thf(f15093,plain,
( spl2_161
| spl2_111
| ~ spl2_239
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f14802,f3779,f7145,f3815,f4881]) ).
thf(f15142,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_241 ),
inference(constrained_superposition,[],[f74,f7484]) ).
thf(f15152,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_241 ),
inference(trivial_inequality_removal,[],[f15142]) ).
thf(f15178,plain,
( ~ spl2_13
| spl2_21
| spl2_186
| ~ spl2_241 ),
inference(avatar_split_clause,[],[f15152,f7483,f5614,f308,f196]) ).
thf(f15226,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_101
| ~ spl2_187 ),
inference(constrained_superposition,[],[f14719,f3776]) ).
thf(f15227,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_101
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f15226]) ).
thf(f15229,plain,
( $false
| ~ spl2_101
| ~ spl2_107
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f15227,f3798]) ).
thf(f15230,plain,
( ~ spl2_101
| ~ spl2_107
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f15229]) ).
cnf(s4,plain,
( spl2_2
| ~ spl2_7
| spl2_8 ),
inference(sat_conversion,[],[f125]) ).
cnf(s5,plain,
( spl2_4
| spl2_7 ),
inference(sat_conversion,[],[f130]) ).
cnf(s7,plain,
( spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f156]) ).
cnf(s8,plain,
( spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f163]) ).
cnf(s17,plain,
( ~ spl2_10
| ~ spl2_12 ),
inference(sat_conversion,[],[f334]) ).
cnf(s18,plain,
( ~ spl2_12
| spl2_18 ),
inference(sat_conversion,[],[f336]) ).
cnf(s19,plain,
( spl2_6
| spl2_13 ),
inference(sat_conversion,[],[f342]) ).
cnf(s22,plain,
( spl2_6
| ~ spl2_24 ),
inference(sat_conversion,[],[f364]) ).
cnf(s24,plain,
( ~ spl2_13
| ~ spl2_18
| spl2_21
| spl2_27 ),
inference(sat_conversion,[],[f392]) ).
cnf(s25,plain,
( ~ spl2_13
| ~ spl2_18
| spl2_21
| spl2_28 ),
inference(sat_conversion,[],[f396]) ).
cnf(s27,plain,
( ~ spl2_14
| ~ spl2_18
| spl2_28 ),
inference(sat_conversion,[],[f405]) ).
cnf(s39,plain,
( ~ spl2_26
| spl2_31 ),
inference(sat_conversion,[],[f617]) ).
cnf(s41,plain,
( spl2_21
| ~ spl2_26
| ~ spl2_31 ),
inference(sat_conversion,[],[f630]) ).
cnf(s42,plain,
( ~ spl2_21
| ~ spl2_26 ),
inference(sat_conversion,[],[f641]) ).
cnf(s43,plain,
( spl2_10
| ~ spl2_21 ),
inference(sat_conversion,[],[f643]) ).
cnf(s44,plain,
( spl2_8
| ~ spl2_31 ),
inference(sat_conversion,[],[f650]) ).
cnf(s96,plain,
( ~ spl2_6
| ~ spl2_50
| ~ spl2_53 ),
inference(sat_conversion,[],[f1756]) ).
cnf(s128,plain,
( spl2_20
| spl2_56
| spl2_63 ),
inference(sat_conversion,[],[f2460]) ).
cnf(s148,plain,
( ~ spl2_4
| ~ spl2_50
| ~ spl2_51 ),
inference(sat_conversion,[],[f2798]) ).
cnf(s150,plain,
( ~ spl2_4
| ~ spl2_20
| ~ spl2_51
| spl2_54 ),
inference(sat_conversion,[],[f2808]) ).
cnf(s156,plain,
( ~ spl2_4
| ~ spl2_31
| ~ spl2_51
| spl2_54
| spl2_55 ),
inference(sat_conversion,[],[f2815]) ).
cnf(s168,plain,
( spl2_26
| ~ spl2_54
| spl2_63 ),
inference(sat_conversion,[],[f3218]) ).
cnf(s169,plain,
( ~ spl2_4
| spl2_26
| ~ spl2_54 ),
inference(sat_conversion,[],[f3226]) ).
cnf(s175,plain,
( spl2_26
| spl2_32
| ~ spl2_54 ),
inference(sat_conversion,[],[f3237]) ).
cnf(s248,plain,
( spl2_2
| spl2_4
| ~ spl2_31 ),
inference(sat_conversion,[],[f3902]) ).
cnf(s261,plain,
( spl2_54
| spl2_108
| spl2_109 ),
inference(sat_conversion,[],[f3945]) ).
cnf(s265,plain,
( spl2_54
| spl2_105
| spl2_106 ),
inference(sat_conversion,[],[f3949]) ).
cnf(s266,plain,
( spl2_54
| spl2_100
| spl2_101 ),
inference(sat_conversion,[],[f3950]) ).
cnf(s267,plain,
( spl2_54
| spl2_102
| spl2_103 ),
inference(sat_conversion,[],[f3951]) ).
cnf(s272,plain,
( ~ spl2_6
| ~ spl2_32 ),
inference(sat_conversion,[],[f3972]) ).
cnf(s273,plain,
( spl2_18
| ~ spl2_32 ),
inference(sat_conversion,[],[f3973]) ).
cnf(s277,plain,
( spl2_51
| spl2_96 ),
inference(sat_conversion,[],[f4019]) ).
cnf(s281,plain,
( spl2_17
| ~ spl2_110
| ~ spl2_133 ),
inference(sat_conversion,[],[f4114]) ).
cnf(s283,plain,
( spl2_26
| spl2_32
| ~ spl2_133 ),
inference(sat_conversion,[],[f4130]) ).
cnf(s317,plain,
( ~ spl2_8
| ~ spl2_63
| ~ spl2_105
| spl2_107 ),
inference(sat_conversion,[],[f4460]) ).
cnf(s319,plain,
( ~ spl2_4
| ~ spl2_107
| ~ spl2_110 ),
inference(sat_conversion,[],[f4539]) ).
cnf(s336,plain,
( spl2_4
| ~ spl2_6
| ~ spl2_11
| ~ spl2_50
| ~ spl2_63
| spl2_152 ),
inference(sat_conversion,[],[f4599]) ).
cnf(s339,plain,
( ~ spl2_4
| ~ spl2_31
| ~ spl2_107
| spl2_151 ),
inference(sat_conversion,[],[f4603]) ).
cnf(s342,plain,
( ~ spl2_2
| spl2_24 ),
inference(sat_conversion,[],[f4613]) ).
cnf(s343,plain,
( ~ spl2_2
| spl2_12 ),
inference(sat_conversion,[],[f4614]) ).
cnf(s344,plain,
( ~ spl2_12
| spl2_53 ),
inference(sat_conversion,[],[f4629]) ).
cnf(s345,plain,
( ~ spl2_6
| ~ spl2_12
| ~ spl2_50 ),
inference(sat_conversion,[],[f4641]) ).
cnf(s347,plain,
( ~ spl2_6
| ~ spl2_8
| ~ spl2_12
| spl2_28 ),
inference(sat_conversion,[],[f4643]) ).
cnf(s354,plain,
( ~ spl2_4
| ~ spl2_10
| ~ spl2_107 ),
inference(sat_conversion,[],[f4707]) ).
cnf(s384,plain,
( spl2_150
| ~ spl2_161 ),
inference(sat_conversion,[],[f4944]) ).
cnf(s385,plain,
( spl2_151
| ~ spl2_161 ),
inference(sat_conversion,[],[f4945]) ).
cnf(s396,plain,
( spl2_51
| ~ spl2_106
| spl2_161
| ~ spl2_162 ),
inference(sat_conversion,[],[f5031]) ).
cnf(s410,plain,
( ~ spl2_13
| spl2_21
| spl2_51
| ~ spl2_138 ),
inference(sat_conversion,[],[f5130]) ).
cnf(s423,plain,
( ~ spl2_8
| ~ spl2_105
| ~ spl2_107
| ~ spl2_108
| ~ spl2_147 ),
inference(sat_conversion,[],[f5259]) ).
cnf(s424,plain,
( ~ spl2_8
| spl2_51
| ~ spl2_108
| ~ spl2_147 ),
inference(sat_conversion,[],[f5260]) ).
cnf(s425,plain,
( ~ spl2_6
| ~ spl2_8
| spl2_107
| spl2_162 ),
inference(sat_conversion,[],[f5274]) ).
cnf(s427,plain,
( spl2_107
| ~ spl2_161 ),
inference(sat_conversion,[],[f5285]) ).
cnf(s431,plain,
( ~ spl2_14
| spl2_107
| spl2_147 ),
inference(sat_conversion,[],[f5337]) ).
cnf(s433,plain,
( ~ spl2_14
| spl2_51
| ~ spl2_138 ),
inference(sat_conversion,[],[f5339]) ).
cnf(s434,plain,
( ~ spl2_4
| ~ spl2_11
| ~ spl2_50
| spl2_51
| spl2_171 ),
inference(sat_conversion,[],[f5370]) ).
cnf(s435,plain,
( spl2_84
| ~ spl2_171 ),
inference(sat_conversion,[],[f5375]) ).
cnf(s438,plain,
( ~ spl2_100
| spl2_175
| ~ spl2_176
| spl2_177 ),
inference(sat_conversion,[],[f5416]) ).
cnf(s439,plain,
( ~ spl2_100
| spl2_107
| spl2_175
| ~ spl2_176 ),
inference(sat_conversion,[],[f5417]) ).
cnf(s447,plain,
( ~ spl2_8
| ~ spl2_103
| spl2_107
| ~ spl2_183 ),
inference(sat_conversion,[],[f5526]) ).
cnf(s448,plain,
( ~ spl2_4
| ~ spl2_11
| spl2_107
| ~ spl2_110
| spl2_184 ),
inference(sat_conversion,[],[f5563]) ).
cnf(s456,plain,
( ~ spl2_102
| spl2_161
| ~ spl2_162
| spl2_186 ),
inference(sat_conversion,[],[f5616]) ).
cnf(s457,plain,
( ~ spl2_102
| spl2_161
| ~ spl2_162
| spl2_187 ),
inference(sat_conversion,[],[f5620]) ).
cnf(s458,plain,
( ~ spl2_102
| ~ spl2_175 ),
inference(sat_conversion,[],[f5633]) ).
cnf(s459,plain,
( ~ spl2_175
| spl2_185 ),
inference(sat_conversion,[],[f5635]) ).
cnf(s461,plain,
( ~ spl2_175
| spl2_187 ),
inference(sat_conversion,[],[f5637]) ).
cnf(s468,plain,
( ~ spl2_6
| ~ spl2_8
| ~ spl2_186
| spl2_187 ),
inference(sat_conversion,[],[f5725]) ).
cnf(s478,plain,
( ~ spl2_4
| ~ spl2_111
| ~ spl2_187 ),
inference(sat_conversion,[],[f5827]) ).
cnf(s500,plain,
( ~ spl2_50
| ~ spl2_105
| ~ spl2_110 ),
inference(sat_conversion,[],[f5911]) ).
cnf(s544,plain,
( ~ spl2_8
| spl2_50
| spl2_51 ),
inference(sat_conversion,[],[f6253]) ).
cnf(s546,plain,
( ~ spl2_4
| ~ spl2_11
| ~ spl2_111
| spl2_187
| spl2_212 ),
inference(sat_conversion,[],[f6289]) ).
cnf(s548,plain,
( ~ spl2_101
| ~ spl2_110
| ~ spl2_111 ),
inference(sat_conversion,[],[f6318]) ).
cnf(s593,plain,
( ~ spl2_11
| ~ spl2_96
| ~ spl2_103
| ~ spl2_105
| spl2_133
| ~ spl2_221 ),
inference(sat_conversion,[],[f6794]) ).
cnf(s594,plain,
( ~ spl2_101
| ~ spl2_105
| ~ spl2_220 ),
inference(sat_conversion,[],[f6810]) ).
cnf(s595,plain,
( ~ spl2_51
| ~ spl2_187
| ~ spl2_220 ),
inference(sat_conversion,[],[f6812]) ).
cnf(s598,plain,
( ~ spl2_103
| ~ spl2_105
| spl2_111
| spl2_133
| ~ spl2_227
| spl2_228 ),
inference(sat_conversion,[],[f6840]) ).
cnf(s601,plain,
( spl2_53
| spl2_229 ),
inference(sat_conversion,[],[f6854]) ).
cnf(s605,plain,
( spl2_70
| ~ spl2_228 ),
inference(sat_conversion,[],[f6870]) ).
cnf(s607,plain,
( spl2_50
| spl2_227 ),
inference(sat_conversion,[],[f6882]) ).
cnf(s609,plain,
( ~ spl2_4
| ~ spl2_51
| spl2_138 ),
inference(sat_conversion,[],[f6885]) ).
cnf(s610,plain,
( spl2_63
| spl2_138 ),
inference(sat_conversion,[],[f6886]) ).
cnf(s617,plain,
( spl2_50
| spl2_175
| ~ spl2_224
| ~ spl2_236 ),
inference(sat_conversion,[],[f6950]) ).
cnf(s618,plain,
( spl2_53
| spl2_175
| ~ spl2_176
| ~ spl2_224 ),
inference(sat_conversion,[],[f6951]) ).
cnf(s619,plain,
( spl2_111
| spl2_236 ),
inference(sat_conversion,[],[f6966]) ).
cnf(s622,plain,
( spl2_187
| spl2_221 ),
inference(sat_conversion,[],[f6969]) ).
cnf(s624,plain,
( ~ spl2_8
| ~ spl2_101
| ~ spl2_110
| spl2_187 ),
inference(sat_conversion,[],[f6973]) ).
cnf(s628,plain,
( ~ spl2_8
| spl2_107
| spl2_110 ),
inference(sat_conversion,[],[f6985]) ).
cnf(s629,plain,
( spl2_176
| spl2_186 ),
inference(sat_conversion,[],[f7003]) ).
cnf(s631,plain,
( ~ spl2_175
| spl2_183 ),
inference(sat_conversion,[],[f7016]) ).
cnf(s637,plain,
( ~ spl2_8
| ~ spl2_17
| spl2_107
| ~ spl2_110 ),
inference(sat_conversion,[],[f7023]) ).
cnf(s638,plain,
( ~ spl2_13
| spl2_21
| spl2_183
| spl2_187 ),
inference(sat_conversion,[],[f7025]) ).
cnf(s640,plain,
( spl2_20
| ~ spl2_21 ),
inference(sat_conversion,[],[f7035]) ).
cnf(s648,plain,
( ~ spl2_10
| spl2_50 ),
inference(sat_conversion,[],[f7088]) ).
cnf(s649,plain,
( ~ spl2_4
| ~ spl2_10
| ~ spl2_51 ),
inference(sat_conversion,[],[f7096]) ).
cnf(s654,plain,
( spl2_50
| ~ spl2_106
| spl2_161
| ~ spl2_239 ),
inference(sat_conversion,[],[f7147]) ).
cnf(s659,plain,
( spl2_162
| spl2_177 ),
inference(sat_conversion,[],[f7186]) ).
cnf(s665,plain,
( ~ spl2_177
| spl2_214 ),
inference(sat_conversion,[],[f7201]) ).
cnf(s677,plain,
( spl2_111
| ~ spl2_227
| spl2_228
| ~ spl2_232 ),
inference(sat_conversion,[],[f7374]) ).
cnf(s680,plain,
( ~ spl2_4
| ~ spl2_110
| ~ spl2_214 ),
inference(sat_conversion,[],[f7414]) ).
cnf(s685,plain,
( ~ spl2_237
| spl2_240 ),
inference(sat_conversion,[],[f7460]) ).
cnf(s693,plain,
( ~ spl2_51
| ~ spl2_187
| ~ spl2_233 ),
inference(sat_conversion,[],[f7470]) ).
cnf(s696,plain,
( spl2_110
| spl2_239 ),
inference(sat_conversion,[],[f7473]) ).
cnf(s698,plain,
( ~ spl2_32
| ~ spl2_147 ),
inference(sat_conversion,[],[f7479]) ).
cnf(s712,plain,
( ~ spl2_51
| ~ spl2_186
| ~ spl2_220 ),
inference(sat_conversion,[],[f7622]) ).
cnf(s717,plain,
( ~ spl2_103
| ~ spl2_108
| ~ spl2_233 ),
inference(sat_conversion,[],[f7685]) ).
cnf(s720,plain,
( ~ spl2_18
| ~ spl2_109
| ~ spl2_227
| spl2_228 ),
inference(sat_conversion,[],[f7737]) ).
cnf(s722,plain,
( spl2_183
| spl2_241 ),
inference(sat_conversion,[],[f7744]) ).
cnf(s723,plain,
( ~ spl2_101
| ~ spl2_147
| spl2_241 ),
inference(sat_conversion,[],[f7745]) ).
cnf(s730,plain,
( ~ spl2_106
| ~ spl2_109
| spl2_228
| ~ spl2_252 ),
inference(sat_conversion,[],[f7842]) ).
cnf(s731,plain,
( ~ spl2_106
| ~ spl2_226
| spl2_244
| ~ spl2_253 ),
inference(sat_conversion,[],[f7846]) ).
cnf(s734,plain,
( spl2_253
| spl2_254 ),
inference(sat_conversion,[],[f7862]) ).
cnf(s744,plain,
( ~ spl2_4
| ~ spl2_51
| spl2_54
| ~ spl2_55 ),
inference(sat_conversion,[],[f7969]) ).
cnf(s748,plain,
( spl2_54
| ~ spl2_70
| ~ spl2_184 ),
inference(sat_conversion,[],[f8001]) ).
cnf(s749,plain,
( ~ spl2_4
| ~ spl2_51
| ~ spl2_70 ),
inference(sat_conversion,[],[f8003]) ).
cnf(s849,plain,
( spl2_54
| ~ spl2_101
| ~ spl2_150
| ~ spl2_220 ),
inference(sat_conversion,[],[f8677]) ).
cnf(s971,plain,
( ~ spl2_184
| ~ spl2_185
| spl2_269 ),
inference(sat_conversion,[],[f9552]) ).
cnf(s975,plain,
( ~ spl2_9
| ~ spl2_110
| ~ spl2_138
| ~ spl2_222
| spl2_254
| spl2_255 ),
inference(sat_conversion,[],[f9599]) ).
cnf(s979,plain,
( ~ spl2_51
| ~ spl2_251
| ~ spl2_254 ),
inference(sat_conversion,[],[f9662]) ).
cnf(s980,plain,
( ~ spl2_11
| ~ spl2_51
| spl2_251
| ~ spl2_254
| spl2_275 ),
inference(sat_conversion,[],[f9673]) ).
cnf(s985,plain,
( spl2_243
| ~ spl2_244 ),
inference(sat_conversion,[],[f9709]) ).
cnf(s998,plain,
( ~ spl2_184
| ~ spl2_233
| spl2_237
| spl2_269
| ~ spl2_275 ),
inference(sat_conversion,[],[f9834]) ).
cnf(s1011,plain,
( spl2_147
| spl2_237 ),
inference(sat_conversion,[],[f9861]) ).
cnf(s1020,plain,
( ~ spl2_4
| ~ spl2_51
| ~ spl2_63 ),
inference(sat_conversion,[],[f9896]) ).
cnf(s1023,plain,
( ~ spl2_12
| ~ spl2_103 ),
inference(sat_conversion,[],[f9914]) ).
cnf(s1031,plain,
( ~ spl2_105
| spl2_274 ),
inference(sat_conversion,[],[f10037]) ).
cnf(s1032,plain,
( ~ spl2_108
| spl2_274 ),
inference(sat_conversion,[],[f10044]) ).
cnf(s1033,plain,
( spl2_178
| ~ spl2_255 ),
inference(sat_conversion,[],[f10094]) ).
cnf(s1039,plain,
( spl2_17
| spl2_31
| ~ spl2_178 ),
inference(sat_conversion,[],[f10151]) ).
cnf(s1041,plain,
( ~ spl2_4
| spl2_26
| ~ spl2_178 ),
inference(sat_conversion,[],[f10155]) ).
cnf(s1042,plain,
( spl2_26
| spl2_32
| ~ spl2_178 ),
inference(sat_conversion,[],[f10156]) ).
cnf(s1048,plain,
( spl2_247
| spl2_279 ),
inference(sat_conversion,[],[f10205]) ).
cnf(s1050,plain,
( ~ spl2_4
| ~ spl2_9
| ~ spl2_138
| ~ spl2_251
| spl2_254
| spl2_255 ),
inference(sat_conversion,[],[f10234]) ).
cnf(s1058,plain,
( spl2_161
| ~ spl2_162
| ~ spl2_223
| spl2_251 ),
inference(sat_conversion,[],[f10280]) ).
cnf(s1065,plain,
( spl2_106
| ~ spl2_224
| ~ spl2_269 ),
inference(sat_conversion,[],[f10500]) ).
cnf(s1067,plain,
( spl2_109
| ~ spl2_232
| ~ spl2_269 ),
inference(sat_conversion,[],[f10502]) ).
cnf(s1072,plain,
( ~ spl2_105
| ~ spl2_269
| ~ spl2_274 ),
inference(sat_conversion,[],[f10511]) ).
cnf(s1075,plain,
( ~ spl2_51
| ~ spl2_108
| ~ spl2_269 ),
inference(sat_conversion,[],[f10516]) ).
cnf(s1161,plain,
( ~ spl2_56
| ~ spl2_222
| spl2_255
| spl2_260
| ~ spl2_274
| spl2_302 ),
inference(sat_conversion,[],[f11172]) ).
cnf(s1162,plain,
( ~ spl2_212
| spl2_283
| ~ spl2_302 ),
inference(sat_conversion,[],[f11182]) ).
cnf(s1170,plain,
( spl2_26
| spl2_32
| ~ spl2_260 ),
inference(sat_conversion,[],[f11246]) ).
cnf(s1172,plain,
( ~ spl2_4
| spl2_26
| ~ spl2_260 ),
inference(sat_conversion,[],[f11250]) ).
cnf(s1173,plain,
( spl2_17
| spl2_31
| ~ spl2_260 ),
inference(sat_conversion,[],[f11251]) ).
cnf(s1176,plain,
( ~ spl2_101
| ~ spl2_103
| ~ spl2_283 ),
inference(sat_conversion,[],[f11305]) ).
cnf(s1178,plain,
( spl2_106
| ~ spl2_224
| ~ spl2_283 ),
inference(sat_conversion,[],[f11307]) ).
cnf(s1179,plain,
( spl2_147
| ~ spl2_183
| ~ spl2_283 ),
inference(sat_conversion,[],[f11309]) ).
cnf(s1183,plain,
( spl2_110
| ~ spl2_111
| ~ spl2_283 ),
inference(sat_conversion,[],[f11315]) ).
cnf(s1190,plain,
( ~ spl2_51
| ~ spl2_107
| ~ spl2_108 ),
inference(sat_conversion,[],[f11334]) ).
cnf(s1191,plain,
( ~ spl2_53
| ~ spl2_177
| ~ spl2_274 ),
inference(sat_conversion,[],[f11336]) ).
cnf(s1193,plain,
( ~ spl2_4
| ~ spl2_183
| spl2_228
| ~ spl2_229
| ~ spl2_232 ),
inference(sat_conversion,[],[f11338]) ).
cnf(s1194,plain,
( ~ spl2_107
| spl2_214 ),
inference(sat_conversion,[],[f11345]) ).
cnf(s1195,plain,
( ~ spl2_220
| spl2_286 ),
inference(sat_conversion,[],[f11352]) ).
cnf(s1196,plain,
( ~ spl2_233
| spl2_286 ),
inference(sat_conversion,[],[f11357]) ).
cnf(s1204,plain,
( spl2_161
| ~ spl2_212
| ~ spl2_223
| ~ spl2_239
| spl2_283 ),
inference(sat_conversion,[],[f11430]) ).
cnf(s1207,plain,
( ~ spl2_20
| spl2_50
| spl2_54 ),
inference(sat_conversion,[],[f11501]) ).
cnf(s1209,plain,
( ~ spl2_4
| ~ spl2_20
| spl2_133
| ~ spl2_214 ),
inference(sat_conversion,[],[f11505]) ).
cnf(s1210,plain,
( ~ spl2_63
| ~ spl2_111
| ~ spl2_220 ),
inference(sat_conversion,[],[f11506]) ).
cnf(s1211,plain,
( ~ spl2_63
| ~ spl2_220
| spl2_241 ),
inference(sat_conversion,[],[f11507]) ).
cnf(s1212,plain,
( spl2_54
| spl2_63
| spl2_305 ),
inference(sat_conversion,[],[f11512]) ).
cnf(s1213,plain,
( spl2_138
| ~ spl2_183
| ~ spl2_233 ),
inference(sat_conversion,[],[f11513]) ).
cnf(s1214,plain,
( ~ spl2_50
| ~ spl2_111
| ~ spl2_286 ),
inference(sat_conversion,[],[f11514]) ).
cnf(s1217,plain,
( ~ spl2_12
| ~ spl2_111 ),
inference(sat_conversion,[],[f11534]) ).
cnf(s1218,plain,
( ~ spl2_12
| ~ spl2_279 ),
inference(sat_conversion,[],[f11536]) ).
cnf(s1221,plain,
( ~ spl2_27
| ~ spl2_177
| ~ spl2_225 ),
inference(sat_conversion,[],[f11562]) ).
cnf(s1228,plain,
( ~ spl2_18
| spl2_21
| ~ spl2_100 ),
inference(sat_conversion,[],[f11596]) ).
cnf(s1230,plain,
( ~ spl2_138
| spl2_305 ),
inference(sat_conversion,[],[f11614]) ).
cnf(s1233,plain,
( ~ spl2_100
| ~ spl2_161 ),
inference(sat_conversion,[],[f11629]) ).
cnf(s1253,plain,
( ~ spl2_106
| spl2_161
| ~ spl2_239
| ~ spl2_305 ),
inference(sat_conversion,[],[f11783]) ).
cnf(s1255,plain,
( spl2_21
| ~ spl2_106
| ~ spl2_138
| ~ spl2_237 ),
inference(sat_conversion,[],[f11806]) ).
cnf(s1258,plain,
( ~ spl2_84
| spl2_161
| spl2_178
| ~ spl2_223
| ~ spl2_239 ),
inference(sat_conversion,[],[f11865]) ).
cnf(s1260,plain,
( spl2_133
| spl2_147
| ~ spl2_151 ),
inference(sat_conversion,[],[f11908]) ).
cnf(s1261,plain,
( ~ spl2_4
| ~ spl2_107
| spl2_133
| ~ spl2_151 ),
inference(sat_conversion,[],[f11910]) ).
cnf(s1278,plain,
( ~ spl2_106
| spl2_252
| ~ spl2_269 ),
inference(sat_conversion,[],[f12207]) ).
cnf(s1284,plain,
( ~ spl2_50
| spl2_110
| ~ spl2_269 ),
inference(sat_conversion,[],[f12217]) ).
cnf(s1286,plain,
( ~ spl2_109
| spl2_252
| ~ spl2_269 ),
inference(sat_conversion,[],[f12221]) ).
cnf(s1287,plain,
( ~ spl2_269
| spl2_274
| ~ spl2_286 ),
inference(sat_conversion,[],[f12222]) ).
cnf(s1290,plain,
( ~ spl2_96
| spl2_104
| ~ spl2_269 ),
inference(sat_conversion,[],[f12226]) ).
cnf(s1296,plain,
( ~ spl2_101
| ~ spl2_233
| ~ spl2_269
| ~ spl2_286 ),
inference(sat_conversion,[],[f12238]) ).
cnf(s1346,plain,
( ~ spl2_214
| ~ spl2_222
| ~ spl2_243 ),
inference(sat_conversion,[],[f12605]) ).
cnf(s1366,plain,
( ~ spl2_11
| ~ spl2_101
| ~ spl2_103
| ~ spl2_214
| ~ spl2_222
| spl2_283 ),
inference(sat_conversion,[],[f12901]) ).
cnf(s1368,plain,
( ~ spl2_13
| spl2_21
| spl2_281
| spl2_302 ),
inference(sat_conversion,[],[f12906]) ).
cnf(s1371,plain,
( ~ spl2_9
| spl2_101
| ~ spl2_237
| ~ spl2_241
| spl2_283 ),
inference(sat_conversion,[],[f12911]) ).
cnf(s1376,plain,
( ~ spl2_103
| ~ spl2_187
| ~ spl2_214 ),
inference(sat_conversion,[],[f12926]) ).
cnf(s1386,plain,
( spl2_9
| ~ spl2_239 ),
inference(sat_conversion,[],[f12943]) ).
cnf(s1392,plain,
( spl2_104
| spl2_107 ),
inference(sat_conversion,[],[f12954]) ).
cnf(s1396,plain,
( ~ spl2_13
| spl2_21
| spl2_187
| ~ spl2_241 ),
inference(sat_conversion,[],[f12963]) ).
cnf(s1404,plain,
( ~ spl2_11
| spl2_54
| ~ spl2_96
| ~ spl2_104
| spl2_105 ),
inference(sat_conversion,[],[f12973]) ).
cnf(s1410,plain,
( ~ spl2_10
| spl2_110 ),
inference(sat_conversion,[],[f13004]) ).
cnf(s1411,plain,
( ~ spl2_10
| ~ spl2_286 ),
inference(sat_conversion,[],[f13009]) ).
cnf(s1426,plain,
( ~ spl2_101
| ~ spl2_108
| ~ spl2_286 ),
inference(sat_conversion,[],[f13165]) ).
cnf(s1434,plain,
( ~ spl2_226
| ~ spl2_240
| spl2_244
| ~ spl2_247 ),
inference(sat_conversion,[],[f13245]) ).
cnf(s1441,plain,
( spl2_247
| spl2_260
| spl2_279 ),
inference(sat_conversion,[],[f13258]) ).
cnf(s1443,plain,
( ~ spl2_4
| ~ spl2_279
| ~ spl2_281 ),
inference(sat_conversion,[],[f13274]) ).
cnf(s1450,plain,
( ~ spl2_70
| ~ spl2_103
| ~ spl2_105
| spl2_133 ),
inference(sat_conversion,[],[f13365]) ).
cnf(s1453,plain,
( spl2_269
| spl2_320
| spl2_321 ),
inference(sat_conversion,[],[f13617]) ).
cnf(s1454,plain,
( spl2_269
| spl2_322
| spl2_323 ),
inference(sat_conversion,[],[f13624]) ).
cnf(s1457,plain,
( ~ spl2_84
| spl2_175
| spl2_178
| ~ spl2_236
| ~ spl2_321 ),
inference(sat_conversion,[],[f13651]) ).
cnf(s1459,plain,
( spl2_175
| ~ spl2_236
| spl2_279
| ~ spl2_321 ),
inference(sat_conversion,[],[f13656]) ).
cnf(s1460,plain,
( spl2_175
| ~ spl2_236
| spl2_302
| ~ spl2_321 ),
inference(sat_conversion,[],[f13657]) ).
cnf(s1461,plain,
( ~ spl2_186
| ~ spl2_251
| ~ spl2_320 ),
inference(sat_conversion,[],[f13670]) ).
cnf(s1462,plain,
( ~ spl2_103
| ~ spl2_222
| ~ spl2_320 ),
inference(sat_conversion,[],[f13673]) ).
cnf(s1465,plain,
( ~ spl2_222
| spl2_237
| ~ spl2_302 ),
inference(sat_conversion,[],[f13679]) ).
cnf(s1466,plain,
( ~ spl2_147
| ~ spl2_225
| spl2_326 ),
inference(sat_conversion,[],[f13683]) ).
cnf(s1467,plain,
( spl2_102
| spl2_103
| spl2_269 ),
inference(sat_conversion,[],[f13684]) ).
cnf(s1471,plain,
( spl2_100
| spl2_101
| spl2_269 ),
inference(sat_conversion,[],[f13691]) ).
cnf(s1484,plain,
( ~ spl2_110
| spl2_289 ),
inference(sat_conversion,[],[f13758]) ).
cnf(s1487,plain,
( spl2_103
| ~ spl2_222
| ~ spl2_283 ),
inference(sat_conversion,[],[f13843]) ).
cnf(s1491,plain,
( spl2_107
| ~ spl2_187
| ~ spl2_283 ),
inference(sat_conversion,[],[f13852]) ).
cnf(s1492,plain,
( spl2_101
| ~ spl2_225
| ~ spl2_283 ),
inference(sat_conversion,[],[f13854]) ).
cnf(s1500,plain,
( ~ spl2_7
| ~ spl2_11
| spl2_54
| spl2_63
| ~ spl2_96 ),
inference(sat_conversion,[],[f13865]) ).
cnf(s1501,plain,
( ~ spl2_11
| spl2_103
| spl2_107
| spl2_187
| spl2_269 ),
inference(sat_conversion,[],[f13866]) ).
cnf(s1505,plain,
( ~ spl2_11
| spl2_51
| spl2_54
| spl2_105
| spl2_107 ),
inference(sat_conversion,[],[f13871]) ).
cnf(s1508,plain,
( ~ spl2_9
| ~ spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f13874]) ).
cnf(s1512,plain,
( spl2_2
| ~ spl2_7
| spl2_107
| ~ spl2_240 ),
inference(sat_conversion,[],[f13878]) ).
cnf(s1513,plain,
( ~ spl2_11
| spl2_101
| spl2_107
| spl2_187
| spl2_269 ),
inference(sat_conversion,[],[f13879]) ).
cnf(s1516,plain,
( ~ spl2_13
| spl2_21
| spl2_107
| ~ spl2_237 ),
inference(sat_conversion,[],[f13882]) ).
cnf(s1517,plain,
( spl2_105
| spl2_269
| spl2_328 ),
inference(sat_conversion,[],[f13886]) ).
cnf(s1518,plain,
( ~ spl2_11
| spl2_101
| ~ spl2_104
| spl2_187
| spl2_269 ),
inference(sat_conversion,[],[f13887]) ).
cnf(s1519,plain,
( ~ spl2_50
| ~ spl2_110
| ~ spl2_274 ),
inference(sat_conversion,[],[f13888]) ).
cnf(s1521,plain,
( ~ spl2_9
| ~ spl2_13
| spl2_16 ),
inference(sat_conversion,[],[f13890]) ).
cnf(s1523,plain,
( ~ spl2_6
| ~ spl2_186
| spl2_241 ),
inference(sat_conversion,[],[f13895]) ).
cnf(s1527,plain,
( ~ spl2_11
| spl2_51
| spl2_54
| spl2_107
| spl2_108 ),
inference(sat_conversion,[],[f13899]) ).
cnf(s1529,plain,
( spl2_108
| spl2_109
| spl2_269 ),
inference(sat_conversion,[],[f13902]) ).
cnf(s1530,plain,
( ~ spl2_11
| spl2_51
| spl2_54
| ~ spl2_104
| spl2_108 ),
inference(sat_conversion,[],[f13903]) ).
cnf(s1531,plain,
( spl2_108
| spl2_269
| spl2_328 ),
inference(sat_conversion,[],[f13904]) ).
cnf(s1535,plain,
( spl2_4
| ~ spl2_21 ),
inference(sat_conversion,[],[f13914]) ).
cnf(s1539,plain,
( ~ spl2_11
| spl2_51
| spl2_133
| spl2_187
| spl2_233 ),
inference(sat_conversion,[],[f13949]) ).
cnf(s1541,plain,
( ~ spl2_11
| spl2_51
| spl2_133
| ~ spl2_221
| spl2_233 ),
inference(sat_conversion,[],[f13951]) ).
cnf(s1543,plain,
( ~ spl2_11
| spl2_51
| spl2_133
| spl2_187
| spl2_220 ),
inference(sat_conversion,[],[f13953]) ).
cnf(s1546,plain,
( spl2_133
| spl2_222
| spl2_223 ),
inference(sat_conversion,[],[f13956]) ).
cnf(s1554,plain,
( spl2_4
| ~ spl2_20 ),
inference(sat_conversion,[],[f13983]) ).
cnf(s1561,plain,
( ~ spl2_106
| spl2_328 ),
inference(sat_conversion,[],[f14082]) ).
cnf(s1565,plain,
( ~ spl2_109
| spl2_328 ),
inference(sat_conversion,[],[f14102]) ).
cnf(s1568,plain,
( spl2_4
| ~ spl2_11
| spl2_183
| spl2_187 ),
inference(sat_conversion,[],[f14111]) ).
cnf(s1569,plain,
( ~ spl2_109
| ~ spl2_227
| spl2_228
| ~ spl2_240 ),
inference(sat_conversion,[],[f14112]) ).
cnf(s1574,plain,
( ~ spl2_106
| ~ spl2_228 ),
inference(sat_conversion,[],[f14133]) ).
cnf(s1577,plain,
( ~ spl2_6
| ~ spl2_63
| ~ spl2_228 ),
inference(sat_conversion,[],[f14138]) ).
cnf(s1578,plain,
( ~ spl2_9
| spl2_108
| ~ spl2_138
| ~ spl2_237
| spl2_269 ),
inference(sat_conversion,[],[f14140]) ).
cnf(s1579,plain,
( ~ spl2_9
| spl2_105
| ~ spl2_138
| ~ spl2_237
| spl2_269 ),
inference(sat_conversion,[],[f14141]) ).
cnf(s1580,plain,
( ~ spl2_6
| ~ spl2_177
| spl2_237 ),
inference(sat_conversion,[],[f14142]) ).
cnf(s1596,plain,
( ~ spl2_244
| spl2_302 ),
inference(sat_conversion,[],[f14239]) ).
cnf(s1602,plain,
( ~ spl2_223
| ~ spl2_244 ),
inference(sat_conversion,[],[f14309]) ).
cnf(s1616,plain,
( ~ spl2_51
| ~ spl2_254
| ~ spl2_281 ),
inference(sat_conversion,[],[f14395]) ).
cnf(s1618,plain,
( spl2_241
| ~ spl2_302
| ~ spl2_320 ),
inference(sat_conversion,[],[f14405]) ).
cnf(s1621,plain,
( spl2_175
| ~ spl2_176
| spl2_281
| ~ spl2_321 ),
inference(sat_conversion,[],[f14428]) ).
cnf(s1630,plain,
( ~ spl2_183
| ~ spl2_322
| spl2_326 ),
inference(sat_conversion,[],[f14495]) ).
cnf(s1631,plain,
( ~ spl2_13
| spl2_21
| spl2_251
| ~ spl2_326 ),
inference(sat_conversion,[],[f14516]) ).
cnf(s1632,plain,
( ~ spl2_13
| spl2_21
| spl2_281
| ~ spl2_326 ),
inference(sat_conversion,[],[f14517]) ).
cnf(s1633,plain,
( ~ spl2_16
| spl2_281
| ~ spl2_326 ),
inference(sat_conversion,[],[f14518]) ).
cnf(s1638,plain,
( ~ spl2_107
| ~ spl2_225
| ~ spl2_281 ),
inference(sat_conversion,[],[f14551]) ).
cnf(s1639,plain,
( spl2_187
| spl2_228
| ~ spl2_229
| ~ spl2_232 ),
inference(sat_conversion,[],[f14552]) ).
cnf(s1640,plain,
( ~ spl2_224
| ~ spl2_228 ),
inference(sat_conversion,[],[f14560]) ).
cnf(s1643,plain,
( ~ spl2_109
| spl2_110
| ~ spl2_227
| spl2_228 ),
inference(sat_conversion,[],[f14564]) ).
cnf(s1644,plain,
( spl2_161
| ~ spl2_223
| ~ spl2_239
| spl2_279 ),
inference(sat_conversion,[],[f14565]) ).
cnf(s1645,plain,
( ~ spl2_32
| ~ spl2_183 ),
inference(sat_conversion,[],[f14570]) ).
cnf(s1646,plain,
( ~ spl2_32
| ~ spl2_63 ),
inference(sat_conversion,[],[f14572]) ).
cnf(s1648,plain,
( ~ spl2_109
| spl2_177
| spl2_228
| ~ spl2_229 ),
inference(sat_conversion,[],[f14574]) ).
cnf(s1649,plain,
( spl2_133
| spl2_232
| spl2_233 ),
inference(sat_conversion,[],[f14585]) ).
cnf(s1650,plain,
( spl2_133
| spl2_220
| spl2_224 ),
inference(sat_conversion,[],[f14586]) ).
cnf(s1651,plain,
( spl2_133
| spl2_147
| spl2_240 ),
inference(sat_conversion,[],[f14587]) ).
cnf(s1652,plain,
( spl2_133
| spl2_225
| spl2_226 ),
inference(sat_conversion,[],[f14588]) ).
cnf(s1659,plain,
( ~ spl2_27
| spl2_177 ),
inference(sat_conversion,[],[f14652]) ).
cnf(s1661,plain,
( spl2_53
| spl2_229 ),
inference(sat_conversion,[],[f14654]) ).
cnf(s1662,plain,
( ~ spl2_13
| spl2_21
| spl2_53
| ~ spl2_138 ),
inference(sat_conversion,[],[f14655]) ).
cnf(s1667,plain,
( ~ spl2_51
| ~ spl2_105
| ~ spl2_214 ),
inference(sat_conversion,[],[f14705]) ).
cnf(s1669,plain,
( ~ spl2_28
| spl2_107 ),
inference(sat_conversion,[],[f14708]) ).
cnf(s1670,plain,
( spl2_54
| spl2_107
| ~ spl2_152 ),
inference(sat_conversion,[],[f14717]) ).
cnf(s1688,plain,
( ~ spl2_226
| spl2_244
| ~ spl2_253
| ~ spl2_328 ),
inference(sat_conversion,[],[f14922]) ).
cnf(s1689,plain,
( ~ spl2_100
| spl2_175
| ~ spl2_224
| ~ spl2_328 ),
inference(sat_conversion,[],[f14924]) ).
cnf(s1692,plain,
( ~ spl2_102
| ~ spl2_106
| spl2_161
| ~ spl2_224 ),
inference(sat_conversion,[],[f14952]) ).
cnf(s1693,plain,
( ~ spl2_224
| spl2_244
| ~ spl2_253
| ~ spl2_323 ),
inference(sat_conversion,[],[f14953]) ).
cnf(s1694,plain,
( ~ spl2_183
| ~ spl2_279
| ~ spl2_322 ),
inference(sat_conversion,[],[f14969]) ).
cnf(s1695,plain,
( ~ spl2_187
| ~ spl2_281
| ~ spl2_322 ),
inference(sat_conversion,[],[f14971]) ).
cnf(s1696,plain,
( ~ spl2_63
| ~ spl2_105
| spl2_237 ),
inference(sat_conversion,[],[f14972]) ).
cnf(s1697,plain,
( spl2_110
| ~ spl2_226
| spl2_244
| ~ spl2_247 ),
inference(sat_conversion,[],[f14973]) ).
cnf(s1699,plain,
( ~ spl2_108
| spl2_138
| ~ spl2_147 ),
inference(sat_conversion,[],[f14975]) ).
cnf(s1700,plain,
( spl2_161
| ~ spl2_162
| ~ spl2_223
| spl2_281 ),
inference(sat_conversion,[],[f14976]) ).
cnf(s1701,plain,
( ~ spl2_63
| ~ spl2_105
| ~ spl2_289 ),
inference(sat_conversion,[],[f14977]) ).
cnf(s1703,plain,
( spl2_2
| ~ spl2_7
| spl2_51
| ~ spl2_305 ),
inference(sat_conversion,[],[f14979]) ).
cnf(s1720,plain,
( spl2_178
| spl2_253
| spl2_254 ),
inference(sat_conversion,[],[f15081]) ).
cnf(s1722,plain,
( ~ spl2_63
| ~ spl2_254
| ~ spl2_279 ),
inference(sat_conversion,[],[f15089]) ).
cnf(s1723,plain,
( ~ spl2_63
| ~ spl2_254
| spl2_326 ),
inference(sat_conversion,[],[f15091]) ).
cnf(s1724,plain,
( ~ spl2_100
| spl2_110
| spl2_175
| ~ spl2_236 ),
inference(sat_conversion,[],[f15092]) ).
cnf(s1725,plain,
( ~ spl2_102
| spl2_111
| spl2_161
| ~ spl2_239 ),
inference(sat_conversion,[],[f15093]) ).
cnf(s1737,plain,
( ~ spl2_13
| spl2_21
| spl2_186
| ~ spl2_241 ),
inference(sat_conversion,[],[f15178]) ).
cnf(s1741,plain,
( ~ spl2_101
| ~ spl2_107
| ~ spl2_187 ),
inference(sat_conversion,[],[f15230]) ).
cnf(s1744,plain,
( spl2_51
| spl2_54
| spl2_133
| spl2_9 ),
inference(rat,[],[s458,s267,s1689,s1376,s1471,s1194,s1741,s1527,s1543,s8,s17,s1561,s1286,s730,s1640,s1650,s1195,s1411,s265,s500,s261,s1032,s1519,s648,s7,s696,s1386]) ).
cnf(s1745,plain,
( ~ spl2_175
| spl2_269
| ~ spl2_8 ),
inference(rat,[],[s1194,s447,s1376,s1467,s458,s461,s631]) ).
cnf(s1746,plain,
( ~ spl2_223
| ~ spl2_162
| spl2_161
| ~ spl2_187
| ~ spl2_51
| spl2_269
| ~ spl2_224 ),
inference(rat,[],[s1693,s734,s1454,s1616,s1695,s1700,s1602]) ).
cnf(s1748,plain,
( ~ spl2_269
| ~ spl2_224
| ~ spl2_232 ),
inference(rat,[],[s1286,s730,s1065,s1067,s1640]) ).
cnf(s1750,plain,
( ~ spl2_54
| spl2_26 ),
inference(rat,[],[s1646,s168,s175]) ).
cnf(s1751,plain,
( ~ spl2_236
| spl2_175
| spl2_269
| ~ spl2_224
| ~ spl2_187
| ~ spl2_11
| spl2_133
| spl2_237
| ~ spl2_110
| spl2_107
| spl2_54 ),
inference(rat,[],[s1453,s1460,s1462,s1465,s1546,s1746,s659,s665,s1376,s1467,s1692,s1505,s265,s500,s617,s427]) ).
cnf(s1752,plain,
( spl2_269
| ~ spl2_224
| ~ spl2_187
| spl2_255
| spl2_260
| spl2_107
| ~ spl2_13
| spl2_54
| ~ spl2_8
| spl2_21
| spl2_20 ),
inference(rat,[],[s1161,s1465,s1546,s1746,s659,s1191,s1662,s128,s424,s1699,s1031,s1701,s1531,s1517,s1689,s1471,s548,s619,s1751,s1745,s427,s1484,s281,s637,s628,s1011,s1516,s8,s18,s25,s1669]) ).
cnf(s1753,plain,
( spl2_51
| ~ spl2_11
| ~ spl2_147
| ~ spl2_104
| spl2_54
| ~ spl2_8 ),
inference(rat,[],[s424,s1530]) ).
cnf(s1754,plain,
( ~ spl2_187
| spl2_255
| spl2_260
| spl2_107
| ~ spl2_13
| spl2_54
| ~ spl2_8
| spl2_21
| spl2_20 ),
inference(rat,[],[s1752,s1748,s1650,s1649,s595,s693,s281,s637,s628,s1753,s8,s18,s25,s1669,s1011,s1516,s1392]) ).
cnf(s1755,plain,
( spl2_107
| ~ spl2_13
| ~ spl2_8
| spl2_31
| spl2_21
| spl2_20 ),
inference(rat,[],[s1689,s1650,s1565,s712,s261,s629,s1075,s439,s1513,s266,s624,s461,s1754,s1753,s8,s1033,s18,s1011,s1039,s1173,s281,s25,s1516,s637,s628,s1392,s1669,s1750,s39]) ).
cnf(s1756,plain,
( ~ spl2_223
| ~ spl2_183
| ~ spl2_239
| ~ spl2_63
| spl2_269
| ~ spl2_224
| spl2_161 ),
inference(rat,[],[s1693,s734,s1454,s1722,s1694,s1602,s1644]) ).
cnf(s1757,plain,
( ~ spl2_322
| ~ spl2_183
| ~ spl2_187
| ~ spl2_13
| spl2_21 ),
inference(rat,[],[s1632,s1695,s1630]) ).
cnf(s1758,plain,
( ~ spl2_224
| spl2_133
| spl2_178
| ~ spl2_187
| ~ spl2_107
| ~ spl2_13
| spl2_54
| ~ spl2_8
| ~ spl2_7
| spl2_21 ),
inference(rat,[],[s1652,s1434,s1638,s1048,s1632,s1722,s1723,s1720,s1693,s1454,s1757,s985,s1346,s1546,s1756,s722,s696,s1371,s1519,s1500,s1011,s1651,s1744,s544,s277,s423,s1667,s1031,s1529,s1065,s1178,s265,s1565,s1692,s1689,s1233,s458,s267,s1376,s1194,s8,s18,s1228,s266,s1741]) ).
cnf(s1759,plain,
( ~ spl2_225
| ~ spl2_147
| ~ spl2_16
| ~ spl2_107 ),
inference(rat,[],[s1633,s1466,s1638]) ).
cnf(s1760,plain,
( ~ spl2_254
| spl2_269
| ~ spl2_186
| ~ spl2_236
| ~ spl2_63
| spl2_175
| ~ spl2_13
| spl2_21 ),
inference(rat,[],[s1453,s1461,s1459,s1631,s1722,s1723]) ).
cnf(s1761,plain,
( spl2_237
| ~ spl2_253
| ~ spl2_328
| ~ spl2_16
| spl2_133
| ~ spl2_107 ),
inference(rat,[],[s1465,s1546,s1596,s1602,s1688,s1652,s1759,s1011]) ).
cnf(s1762,plain,
( ~ spl2_187
| ~ spl2_107
| ~ spl2_13
| ~ spl2_8
| spl2_26
| ~ spl2_7
| spl2_21 ),
inference(rat,[],[s1688,s1602,s1652,s1546,s1492,s1487,s1371,s1761,s734,s1760,s1561,s1287,s265,s1519,s500,s1724,s1737,s619,s1211,s1521,s1214,s1500,s1744,s544,s277,s595,s1195,s1650,s1758,s8,s283,s1042,s18,s273,s458,s1228,s267,s266,s1376,s1741,s1750,s1194]) ).
cnf(s1763,plain,
( ~ spl2_224
| ~ spl2_106
| spl2_108
| spl2_269
| spl2_133
| ~ spl2_183
| spl2_241
| spl2_187
| ~ spl2_214
| spl2_54
| ~ spl2_8 ),
inference(rat,[],[s1366,s8,s1546,s1023,s1756,s1467,s610,s1692,s1578,s385,s7,s1011,s1179,s1260,s696,s1410,s723,s624,s266,s1689,s461,s1531]) ).
cnf(s1764,plain,
( ~ spl2_51
| spl2_269
| spl2_133
| spl2_178
| spl2_187
| ~ spl2_107
| ~ spl2_13
| spl2_54
| ~ spl2_8
| spl2_21 ),
inference(rat,[],[s1453,s1618,s1621,s1368,s1616,s1720,s1761,s1521,s1255,s7,s610,s629,s1411,s1211,s712,s1195,s1650,s1763,s265,s1531,s1667,s1190,s1194,s461,s1396,s638]) ).
cnf(s1765,plain,
( spl2_269
| spl2_133
| spl2_178
| spl2_187
| ~ spl2_107
| ~ spl2_13
| spl2_54
| ~ spl2_8
| spl2_21 ),
inference(rat,[],[s1596,s1697,s1618,s1652,s624,s1453,s1221,s1659,s266,s1459,s24,s1228,s619,s1048,s18,s1217,s1218,s8,s1541,s1213,s410,s1764,s622,s461,s1396,s638]) ).
cnf(s1766,plain,
( ~ spl2_51
| ~ spl2_269
| ~ spl2_107
| spl2_54 ),
inference(rat,[],[s730,s1574,s1286,s265,s261,s1667,s1190,s1194]) ).
cnf(s1767,plain,
( ~ spl2_13
| ~ spl2_8
| ~ spl2_7
| spl2_31
| spl2_21
| spl2_20 ),
inference(rat,[],[s1748,s1650,s1649,s1211,s1213,s610,s410,s1766,s1765,s283,s1042,s1645,s638,s1396,s1762,s1755,s1750,s39]) ).
cnf(s1768,plain,
( ~ spl2_187
| ~ spl2_11
| spl2_237
| ~ spl2_162
| spl2_107
| ~ spl2_51
| spl2_269
| spl2_255
| spl2_133
| spl2_260
| spl2_54
| ~ spl2_8
| spl2_20 ),
inference(rat,[],[s128,s1161,s317,s1031,s1517,s1689,s266,s1465,s548,s1546,s619,s1746,s1751,s1650,s595,s1745,s427,s628]) ).
cnf(s1769,plain,
( spl2_107
| ~ spl2_51
| spl2_269
| spl2_4
| spl2_2 ),
inference(rat,[],[s1518,s624,s1768,s8,s685,s347,s425,s628,s1512,s1392,s1669,s1750,s1170,s283,s1033,s1042,s272,s19,s1767,s4,s5,s1535,s1554,s39,s248]) ).
cnf(s1770,plain,
( ~ spl2_187
| ~ spl2_328
| ~ spl2_107
| ~ spl2_51
| spl2_175
| spl2_133
| spl2_54 ),
inference(rat,[],[s1689,s1650,s266,s595,s1741]) ).
cnf(s1771,plain,
( ~ spl2_224
| spl2_187
| spl2_228
| ~ spl2_328
| ~ spl2_109
| spl2_175
| ~ spl2_6
| spl2_54
| ~ spl2_8 ),
inference(rat,[],[s1643,s607,s624,s96,s266,s618,s1689,s629,s468]) ).
cnf(s1772,plain,
( ~ spl2_101
| ~ spl2_220
| spl2_187
| ~ spl2_106
| ~ spl2_109
| spl2_133
| ~ spl2_6
| spl2_54
| ~ spl2_8
| spl2_4 ),
inference(rat,[],[s1213,s1649,s1568,s1639,s8,s1661,s1230,s345,s96,s1253,s607,s384,s696,s1643,s849,s624,s1574]) ).
cnf(s1773,plain,
( ~ spl2_51
| spl2_269
| spl2_4
| spl2_2 ),
inference(rat,[],[s601,s1639,s96,s1649,s607,s1213,s1569,s1568,s1578,s685,s8,s1580,s18,s438,s1228,s266,s1772,s7,s1411,s1195,s1650,s1771,s629,s468,s1770,s1574,s265,s1531,s261,s1667,s1190,s1194,s1769,s1750,s283,s272,s19,s1767,s1535,s1554,s39,s248,s1745,s4,s5]) ).
cnf(s1774,plain,
( ~ spl2_224
| ~ spl2_102
| ~ spl2_100
| spl2_101
| ~ spl2_63
| spl2_53
| ~ spl2_9
| spl2_175
| spl2_269
| ~ spl2_6 ),
inference(rat,[],[s1371,s1523,s1696,s1178,s629,s1517,s1692,s618,s1689,s1233]) ).
cnf(s1775,plain,
( ~ spl2_187
| ~ spl2_107
| ~ spl2_63
| ~ spl2_9
| ~ spl2_50
| spl2_175
| spl2_269
| spl2_133
| spl2_178
| spl2_260
| ~ spl2_6
| spl2_54 ),
inference(rat,[],[s1722,s1441,s1720,s1434,s731,s1602,s1652,s1546,s1492,s1487,s1371,s685,s1580,s1648,s261,s265,s1032,s500,s1519,s1724,s619,s1210,s1211,s1650,s1774,s267,s266,s1376,s1741,s1661,s96,s1577,s1194]) ).
cnf(s1776,plain,
( spl2_269
| spl2_4
| spl2_2 ),
inference(rat,[],[s1213,s1568,s1539,s1775,s1670,s336,s8,s1212,s1230,s345,s1744,s1703,s544,s1773,s1745,s1750,s1170,s1042,s283,s272,s19,s1767,s4,s5,s1535,s1554,s39,s248]) ).
cnf(s1777,plain,
( ~ spl2_187
| ~ spl2_51
| ~ spl2_269
| spl2_133 ),
inference(rat,[],[s1748,s1650,s1649,s595,s693]) ).
cnf(s1778,plain,
( ~ spl2_51
| ~ spl2_269
| spl2_133
| ~ spl2_6
| spl2_54
| ~ spl2_8
| spl2_4 ),
inference(rat,[],[s267,s447,s457,s1568,s1777,s8,s347,s425,s427,s1669,s1766]) ).
cnf(s1779,plain,
( ~ spl2_269
| spl2_4
| spl2_133
| ~ spl2_6
| spl2_54
| ~ spl2_8 ),
inference(rat,[],[s1404,s8,s500,s1284,s345,s1290,s544,s277,s1778]) ).
cnf(s1780,plain,
( spl2_4
| spl2_2 ),
inference(rat,[],[s1779,s1776,s283,s272,s19,s1767,s1750,s4,s39,s5,s248,s1535,s1554]) ).
cnf(s1781,plain,
( ~ spl2_107
| ~ spl2_51
| spl2_54
| ~ spl2_4 ),
inference(rat,[],[s261,s1643,s1190,s319,s605,s749,s607,s148]) ).
cnf(s1783,plain,
( ~ spl2_187
| ~ spl2_51
| spl2_133
| ~ spl2_4 ),
inference(rat,[],[s677,s1649,s478,s693,s605,s749,s607,s148]) ).
cnf(s1786,plain,
( ~ spl2_223
| ~ spl2_162
| spl2_161
| spl2_255
| ~ spl2_51
| ~ spl2_4 ),
inference(rat,[],[s1050,s1616,s1058,s1700,s609,s7,s649]) ).
cnf(s1787,plain,
( ~ spl2_110
| ~ spl2_11
| spl2_107
| spl2_255
| ~ spl2_51
| spl2_133
| spl2_269
| ~ spl2_4 ),
inference(rat,[],[s980,s979,s975,s1546,s1786,s998,s1579,s1649,s659,s598,s677,s665,s548,s448,s680,s609,s605,s749,s607,s148,s7,s649,s427,s1518,s1392,s1501,s1783]) ).
cnf(s1788,plain,
( ~ spl2_11
| ~ spl2_51
| spl2_54
| spl2_133
| spl2_269
| ~ spl2_4 ),
inference(rat,[],[s1161,s1546,s1162,s1204,s546,s598,s265,s1032,s654,s1529,s696,s1643,s1787,s1176,s1501,s1518,s128,s1020,s150,s605,s749,s607,s148,s1172,s1033,s1041,s39,s156,s744,s1392,s427,s1781,s1783]) ).
cnf(s1789,plain,
( ~ spl2_51
| spl2_54
| spl2_133
| spl2_269
| ~ spl2_4 ),
inference(rat,[],[s1426,s1196,s1529,s266,s1649,s720,s1228,s677,s18,s1217,s8,s1788,s43,s607,s605,s649,s148,s749]) ).
cnf(s1790,plain,
( ~ spl2_8
| spl2_107
| spl2_51
| spl2_54
| ~ spl2_4 ),
inference(rat,[],[s396,s659,s265,s665,s500,s680,s544,s628,s427]) ).
cnf(s1791,plain,
( ~ spl2_14
| spl2_107
| spl2_51
| spl2_54 ),
inference(rat,[],[s8,s1527,s18,s1699,s27,s433,s431,s1669]) ).
cnf(s1792,plain,
( ~ spl2_223
| ~ spl2_186
| spl2_175
| ~ spl2_162
| ~ spl2_236
| spl2_161
| spl2_269
| ~ spl2_4 ),
inference(rat,[],[s1453,s1459,s1461,s1443,s1058,s1700]) ).
cnf(s1793,plain,
( ~ spl2_110
| ~ spl2_11
| ~ spl2_187
| spl2_107
| spl2_54
| spl2_133
| spl2_269
| ~ spl2_4 ),
inference(rat,[],[s1161,s1465,s1546,s1792,s1371,s1523,s594,s456,s1650,s267,s617,s598,s605,s459,s659,s128,s1207,s607,s748,s971,s665,s1701,s500,s448,s680,s1484,s427,s1172,s1033,s1041,s39,s44,s1790,s19,s1508,s1791,s1744,s1491,s619,s478,s1404,s277,s1032,s1530,s1392,s1789]) ).
cnf(s1794,plain,
( ~ spl2_11
| ~ spl2_187
| spl2_107
| spl2_54
| spl2_133
| spl2_269
| ~ spl2_4 ),
inference(rat,[],[s1453,s1457,s1462,s631,s1546,s1193,s1258,s1661,s435,s96,s434,s607,s598,s1649,s605,s717,s1450,s1467,s1725,s696,s1793,s1404,s1530,s277,s1392,s427,s1041,s39,s44,s1790,s19,s1508,s1791,s1744,s1789,s619,s478]) ).
cnf(s1795,plain,
( ~ spl2_187
| spl2_107
| spl2_54
| spl2_133
| spl2_269
| ~ spl2_4 ),
inference(rat,[],[s396,s659,s265,s665,s594,s680,s1650,s266,s696,s617,s1228,s1725,s458,s43,s267,s345,s17,s18,s1023,s8,s1794,s619,s478,s427,s19,s1508,s1791,s1744,s1789]) ).
cnf(s1796,plain,
( ~ spl2_11
| spl2_187
| spl2_107
| ~ spl2_96
| spl2_54
| spl2_133
| spl2_269 ),
inference(rat,[],[s593,s1404,s1501,s1392,s622]) ).
cnf(s1797,plain,
( spl2_107
| spl2_54
| spl2_133
| spl2_269
| ~ spl2_4 ),
inference(rat,[],[s680,s665,s696,s659,s1725,s457,s267,s1023,s1217,s8,s1796,s1795,s427,s277,s1789]) ).
cnf(s1798,plain,
( ~ spl2_187
| ~ spl2_239
| spl2_161
| ~ spl2_214
| spl2_54
| ~ spl2_4 ),
inference(rat,[],[s267,s1725,s1376,s478]) ).
cnf(s1799,plain,
( ~ spl2_13
| ~ spl2_233
| spl2_187
| spl2_21
| spl2_51 ),
inference(rat,[],[s1213,s410,s638]) ).
cnf(s1800,plain,
( ~ spl2_103
| ~ spl2_11
| spl2_54
| spl2_133
| spl2_269
| ~ spl2_4 ),
inference(rat,[],[s1462,s1453,s1546,s1457,s1258,s619,s435,s1214,s434,s654,s265,s593,s277,s1041,s39,s339,s622,s461,s1195,s1543,s1789,s1798,s696,s319,s385,s1261,s1194,s1797]) ).
cnf(s1801,plain,
( ~ spl2_11
| spl2_54
| spl2_133
| spl2_269
| ~ spl2_4 ),
inference(rat,[],[s1161,s1031,s1546,s1579,s1162,s1204,s128,s610,s1580,s546,s1210,s1183,s659,s1725,s457,s267,s1800,s19,s1799,s1539,s1543,s1744,s1789,s1209,s43,s354,s1172,s1033,s1041,s39,s339,s1798,s696,s319,s385,s1261,s1194,s1797]) ).
cnf(s1802,plain,
( spl2_54
| spl2_133
| ~ spl2_4
| spl2_269 ),
inference(rat,[],[s267,s1725,s1023,s1217,s8,s1801,s696,s385,s319,s1261,s1797]) ).
cnf(s1803,plain,
( ~ spl2_26
| spl2_21 ),
inference(rat,[],[s39,s41]) ).
cnf(s1804,plain,
~ spl2_26,
inference(rat,[],[s1803,s42]) ).
cnf(s1805,plain,
( ~ spl2_105
| ~ spl2_269 ),
inference(rat,[],[s1031,s1072]) ).
cnf(s1807,plain,
( spl2_133
| spl2_54
| ~ spl2_4 ),
inference(rat,[],[s18,s8,s1228,s43,s1404,s1290,s266,s1411,s1296,s1196,s277,s1649,s1075,s1067,s261,s730,s1278,s1574,s265,s1805,s1802]) ).
cnf(s1808,plain,
( ~ spl2_51
| ~ spl2_4 ),
inference(rat,[],[s1516,s43,s1781,s649,s1011,s698,s19,s272,s283,s1807,s169,s1804]) ).
cnf(s1809,plain,
( spl2_54
| ~ spl2_4 ),
inference(rat,[],[s8,s1505,s500,s17,s354,s1410,s1207,s43,s640,s410,s1808,s19,s610,s272,s1646,s283,s1807,s1804]) ).
cnf(s1810,plain,
~ spl2_4,
inference(rat,[],[s1809,s169,s1804]) ).
cnf(s1811,plain,
~ spl2_54,
inference(rat,[],[s1750,s1804]) ).
cnf(s1813,plain,
~ spl2_21,
inference(rat,[],[s1535,s1810]) ).
cnf(s1816,plain,
spl2_2,
inference(rat,[],[s1780,s1810]) ).
cnf(s1819,plain,
spl2_12,
inference(rat,[],[s343,s1816]) ).
cnf(s1820,plain,
spl2_24,
inference(rat,[],[s342,s1816]) ).
cnf(s1822,plain,
~ spl2_111,
inference(rat,[],[s1217,s1819]) ).
cnf(s1823,plain,
~ spl2_103,
inference(rat,[],[s1023,s1819]) ).
cnf(s1824,plain,
spl2_53,
inference(rat,[],[s344,s1819]) ).
cnf(s1825,plain,
spl2_18,
inference(rat,[],[s18,s1819]) ).
cnf(s1827,plain,
spl2_6,
inference(rat,[],[s22,s1820]) ).
cnf(s1829,plain,
spl2_236,
inference(rat,[],[s619,s1822]) ).
cnf(s1831,plain,
spl2_102,
inference(rat,[],[s267,s1811,s1823]) ).
cnf(s1832,plain,
~ spl2_50,
inference(rat,[],[s96,s1827,s1824]) ).
cnf(s1836,plain,
~ spl2_100,
inference(rat,[],[s1228,s1813,s1825]) ).
cnf(s1838,plain,
~ spl2_32,
inference(rat,[],[s272,s1827]) ).
cnf(s1839,plain,
~ spl2_175,
inference(rat,[],[s458,s1831]) ).
cnf(s1840,plain,
spl2_227,
inference(rat,[],[s607,s1832]) ).
cnf(s1842,plain,
spl2_101,
inference(rat,[],[s266,s1811,s1836]) ).
cnf(s1844,plain,
~ spl2_133,
inference(rat,[],[s283,s1804,s1838]) ).
cnf(s1848,plain,
~ spl2_224,
inference(rat,[],[s617,s1829,s1832,s1839]) ).
cnf(s1852,plain,
spl2_220,
inference(rat,[],[s1650,s1844,s1848]) ).
cnf(s1854,plain,
spl2_286,
inference(rat,[],[s1195,s1852]) ).
cnf(s1858,plain,
~ spl2_105,
inference(rat,[],[s594,s1842,s1852]) ).
cnf(s1862,plain,
~ spl2_108,
inference(rat,[],[s1426,s1842,s1854]) ).
cnf(s1865,plain,
spl2_106,
inference(rat,[],[s265,s1811,s1858]) ).
cnf(s1871,plain,
spl2_109,
inference(rat,[],[s261,s1811,s1862]) ).
cnf(s1877,plain,
~ spl2_228,
inference(rat,[],[s1574,s1865]) ).
cnf(s1881,plain,
$false,
inference(rat,[],[s720,s1840,s1825,s1877,s1871]) ).
thf(f15231,plain,
$false,
inference(avatar_sat_refutation,[],[s1881]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRA082^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.28 % Computer : n015.cluster.edu
% 0.11/0.28 % Model : x86_64 x86_64
% 0.11/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.28 % Memory : 8046.5625MB
% 0.11/0.28 % OS : Linux 6.8.0-71-generic
% 0.11/0.28 % CPULimit : 300
% 0.11/0.28 % WCLimit : 300
% 0.11/0.28 % DateTime : Tue Sep 29 18:57:34 UTC 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.34 Running higher-order theorem proving
% 0.28/0.36 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
% 1.04/0.54 % (3958445)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.04/0.54 % (3958452)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2732362634:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.04/0.54 % (3958452)Instruction limit reached!
% 1.04/0.54 % (3958452)------------------------------
% 1.04/0.54 % (3958452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.54 % (3958452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.54 % (3958452)CaDiCaL version: 2.1.3
% 1.04/0.54 % (3958452)Termination reason: Instruction limit
% 1.04/0.54 % (3958452)Termination phase: Saturation
% 1.04/0.54 % (3958452)Time elapsed: 0.003 s
% 1.04/0.54 % (3958452)Peak memory usage: 12 MB
% 1.04/0.54 % (3958452)Instructions burned: 4 (million)
% 1.04/0.54 % (3958456)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.04/0.54 % (3958456)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.04/0.54 % (3958455)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4184839346:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.04/0.54 % (3958451)lrs+10_16_si=on:nwc=1.5:random_seed=1648686474:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.04/0.54 % (3958454)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1163364986:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.04/0.54 % (3958450)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2328813169:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.04/0.54 % (3958453)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=2798747195: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)
% 1.04/0.54 % (3958456)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=2206821685:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.04/0.54 % (3958458)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=703448284:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.04/0.54 % (3958451)Instruction limit reached!
% 1.04/0.54 % (3958451)------------------------------
% 1.04/0.54 % (3958451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.54 % (3958451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.54 % (3958451)CaDiCaL version: 2.1.3
% 1.04/0.54 % (3958451)Termination reason: Instruction limit
% 1.04/0.54 % (3958451)Termination phase: Saturation
% 1.04/0.54 % (3958451)Time elapsed: 0.015 s
% 1.04/0.54 % (3958451)Peak memory usage: 12 MB
% 1.04/0.54 % (3958451)Instructions burned: 18 (million)
% 1.04/0.54 % (3958458)Instruction limit reached!
% 1.04/0.54 % (3958458)------------------------------
% 1.04/0.54 % (3958458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.54 % (3958458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.54 % (3958458)CaDiCaL version: 2.1.3
% 1.04/0.54 % (3958458)Termination reason: Instruction limit
% 1.04/0.54 % (3958458)Termination phase: Saturation
% 1.04/0.54 % (3958458)Time elapsed: 0.002 s
% 1.04/0.54 % (3958458)Peak memory usage: 12 MB
% 1.04/0.54 % (3958458)Instructions burned: 3 (million)
% 1.04/0.54 % (3958454)Instruction limit reached!
% 1.04/0.54 % (3958454)------------------------------
% 1.04/0.54 % (3958454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.54 % (3958454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.54 % (3958454)CaDiCaL version: 2.1.3
% 1.04/0.54 % (3958454)Termination reason: Instruction limit
% 1.04/0.54 % (3958454)Termination phase: Saturation
% 1.04/0.54 % (3958454)Time elapsed: 0.022 s
% 1.04/0.54 % (3958454)Peak memory usage: 11 MB
% 1.04/0.54 % (3958454)Instructions burned: 24 (million)
% 1.04/0.54 % (3958467)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.04/0.56 % (3958467)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1396047691:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.04/0.56 % (3958467)Instruction limit reached!
% 1.04/0.56 % (3958467)------------------------------
% 1.04/0.56 % (3958467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (3958467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.56 % (3958467)CaDiCaL version: 2.1.3
% 1.04/0.56 % (3958467)Termination reason: Instruction limit
% 1.04/0.56 % (3958467)Termination phase: Saturation
% 1.04/0.56 % (3958467)Time elapsed: 0.004 s
% 1.04/0.56 % (3958467)Peak memory usage: 12 MB
% 1.04/0.56 % (3958467)Instructions burned: 9 (million)
% 1.04/0.56 % (3958466)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3594428363:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.04/0.56 % (3958466)Instruction limit reached!
% 1.04/0.56 % (3958466)------------------------------
% 1.04/0.56 % (3958466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (3958466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.56 % (3958466)CaDiCaL version: 2.1.3
% 1.04/0.56 % (3958466)Termination reason: Instruction limit
% 1.04/0.56 % (3958466)Termination phase: Saturation
% 1.04/0.56 % (3958466)Time elapsed: 0.004 s
% 1.04/0.56 % (3958466)Peak memory usage: 11 MB
% 1.04/0.56 % (3958466)Instructions burned: 6 (million)
% 1.04/0.56 % (3958468)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1710569279:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.04/0.56 % (3958455)Instruction limit reached!
% 1.04/0.56 % (3958455)------------------------------
% 1.04/0.56 % (3958455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (3958455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.56 % (3958455)CaDiCaL version: 2.1.3
% 1.04/0.56 % (3958455)Termination reason: Instruction limit
% 1.04/0.56 % (3958455)Termination phase: Saturation
% 1.04/0.56 % (3958455)Time elapsed: 0.058 s
% 1.04/0.56 % (3958455)Peak memory usage: 12 MB
% 1.04/0.56 % (3958455)Instructions burned: 75 (million)
% 1.04/0.56 % (3958450)Instruction limit reached!
% 1.04/0.56 % (3958450)------------------------------
% 1.04/0.56 % (3958450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (3958450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.56 % (3958450)CaDiCaL version: 2.1.3
% 1.04/0.56 % (3958450)Termination reason: Instruction limit
% 1.04/0.56 % (3958450)Termination phase: Saturation
% 1.04/0.56 % (3958450)Time elapsed: 0.062 s
% 1.04/0.56 % (3958450)Peak memory usage: 12 MB
% 1.04/0.56 % (3958450)Instructions burned: 87 (million)
% 1.04/0.56 % (3958470)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.04/0.56 % (3958470)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.04/0.56 % (3958472)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=2267217547:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.04/0.56 % (3958468)Instruction limit reached!
% 1.04/0.56 % (3958468)------------------------------
% 1.04/0.56 % (3958468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.56 % (3958468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.56 % (3958468)CaDiCaL version: 2.1.3
% 1.04/0.56 % (3958468)Termination reason: Instruction limit
% 1.04/0.56 % (3958468)Termination phase: Saturation
% 1.04/0.56 % (3958468)Time elapsed: 0.013 s
% 1.04/0.56 % (3958468)Peak memory usage: 12 MB
% 1.04/0.56 % (3958468)Instructions burned: 12 (million)
% 1.04/0.56 % (3958470)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3423617781:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.04/0.56 % (3958475)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.04/0.60 % (3958474)lrs+10_1_si=on:cs=on:random_seed=253274611:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.04/0.60 % (3958475)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=794944142:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.04/0.60 % (3958470)Instruction limit reached!
% 1.04/0.60 % (3958470)------------------------------
% 1.04/0.60 % (3958470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.60 % (3958470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.60 % (3958470)CaDiCaL version: 2.1.3
% 1.04/0.60 % (3958470)Termination reason: Instruction limit
% 1.04/0.60 % (3958470)Termination phase: Saturation
% 1.04/0.60 % (3958470)Time elapsed: 0.025 s
% 1.04/0.60 % (3958470)Peak memory usage: 12 MB
% 1.04/0.60 % (3958470)Instructions burned: 28 (million)
% 1.04/0.60 % (3958475)Instruction limit reached!
% 1.04/0.60 % (3958475)------------------------------
% 1.04/0.60 % (3958475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.60 % (3958475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.60 % (3958475)CaDiCaL version: 2.1.3
% 1.04/0.60 % (3958475)Termination reason: Instruction limit
% 1.04/0.60 % (3958475)Termination phase: Saturation
% 1.04/0.60 % (3958475)Time elapsed: 0.002 s
% 1.04/0.60 % (3958475)Peak memory usage: 10 MB
% 1.04/0.60 % (3958475)Instructions burned: 2 (million)
% 1.04/0.60 % (3958474)Instruction limit reached!
% 1.04/0.60 % (3958474)------------------------------
% 1.04/0.60 % (3958474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.60 % (3958474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.60 % (3958474)CaDiCaL version: 2.1.3
% 1.04/0.60 % (3958474)Termination reason: Instruction limit
% 1.04/0.60 % (3958474)Termination phase: Saturation
% 1.04/0.60 % (3958474)Time elapsed: 0.008 s
% 1.04/0.60 % (3958474)Peak memory usage: 12 MB
% 1.04/0.60 % (3958474)Instructions burned: 8 (million)
% 1.04/0.60 % (3958477)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=71891945:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.04/0.60 % (3958456)Instruction limit reached!
% 1.04/0.60 % (3958456)------------------------------
% 1.04/0.60 % (3958456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.60 % (3958456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.60 % (3958456)CaDiCaL version: 2.1.3
% 1.04/0.60 % (3958477)Refutation not found, incomplete strategy
% 1.04/0.60 % (3958477)------------------------------
% 1.04/0.60 % (3958477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.60 % (3958456)Termination reason: Instruction limit
% 1.04/0.60 % (3958456)Termination phase: Saturation
% 1.04/0.60 % (3958456)Time elapsed: 0.104 s
% 1.04/0.60 % (3958456)Peak memory usage: 12 MB
% 1.04/0.60 % (3958477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.60 % (3958456)Instructions burned: 157 (million)
% 1.04/0.60 % (3958477)CaDiCaL version: 2.1.3
% 1.04/0.60 % (3958477)Termination reason: Refutation not found, incomplete strategy
% 1.04/0.60 % (3958477)Time elapsed: 0.001 s
% 1.04/0.60 % (3958477)Peak memory usage: 11 MB
% 1.04/0.60 % (3958472)Instruction limit reached!
% 1.04/0.60 % (3958472)------------------------------
% 1.04/0.60 % (3958472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.60 % (3958472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.60 % (3958472)CaDiCaL version: 2.1.3
% 1.04/0.60 % (3958472)Termination reason: Instruction limit
% 1.04/0.60 % (3958472)Termination phase: Saturation
% 1.04/0.60 % (3958472)Time elapsed: 0.037 s
% 1.04/0.60 % (3958472)Peak memory usage: 12 MB
% 1.04/0.60 % (3958472)Instructions burned: 88 (million)
% 1.04/0.60 % (3958477)------------------------------
% 1.04/0.60 % (3958477)------------------------------
% 1.04/0.60 % (3958486)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=489674586:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.04/0.60 % (3958483)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1969296911:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.04/0.60 % (3958486)Instruction limit reached!
% 1.04/0.60 % (3958486)------------------------------
% 1.90/0.67 % (3958486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.67 % (3958486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.67 % (3958486)CaDiCaL version: 2.1.3
% 1.90/0.67 % (3958486)Termination reason: Instruction limit
% 1.90/0.67 % (3958486)Termination phase: Saturation
% 1.90/0.67 % (3958486)Time elapsed: 0.007 s
% 1.90/0.67 % (3958481)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2660437243:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.90/0.67 % (3958486)Peak memory usage: 12 MB
% 1.90/0.67 % (3958486)Instructions burned: 15 (million)
% 1.90/0.67 % (3958482)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=290948132:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.90/0.67 % (3958481)Refutation not found, incomplete strategy
% 1.90/0.67 % (3958481)------------------------------
% 1.90/0.67 % (3958481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.67 % (3958481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.67 % (3958481)CaDiCaL version: 2.1.3
% 1.90/0.67 % (3958481)Termination reason: Refutation not found, incomplete strategy
% 1.90/0.67 % (3958481)Time elapsed: 0.001 s
% 1.90/0.67 % (3958481)Peak memory usage: 11 MB
% 1.90/0.67 % (3958482)Refutation not found, incomplete strategy
% 1.90/0.67 % (3958482)------------------------------
% 1.90/0.67 % (3958482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.67 % (3958482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.67 % (3958482)CaDiCaL version: 2.1.3
% 1.90/0.67 % (3958482)Termination reason: Refutation not found, incomplete strategy
% 1.90/0.67 % (3958482)Time elapsed: 0.001 s
% 1.90/0.67 % (3958482)Peak memory usage: 11 MB
% 1.90/0.67 % (3958481)------------------------------
% 1.90/0.67 % (3958481)------------------------------
% 1.90/0.67 % (3958482)------------------------------
% 1.90/0.67 % (3958482)------------------------------
% 1.90/0.67 % (3958485)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3014520815:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.90/0.67 % (3958485)Refutation not found, incomplete strategy
% 1.90/0.67 % (3958485)------------------------------
% 1.90/0.67 % (3958485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.67 % (3958487)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2325075468:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.90/0.67 % (3958485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.67 % (3958485)CaDiCaL version: 2.1.3
% 1.90/0.67 % (3958485)Termination reason: Refutation not found, incomplete strategy
% 1.90/0.67 % (3958485)Time elapsed: 0.001 s
% 1.90/0.67 % (3958485)Peak memory usage: 11 MB
% 1.90/0.67 % (3958485)Instructions burned: 1 (million)
% 1.90/0.67 % (3958485)------------------------------
% 1.90/0.67 % (3958485)------------------------------
% 1.90/0.67 % (3958487)Refutation not found, incomplete strategy
% 1.90/0.67 % (3958487)------------------------------
% 1.90/0.67 % (3958487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.67 % (3958487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.67 % (3958487)CaDiCaL version: 2.1.3
% 1.90/0.67 % (3958487)Termination reason: Refutation not found, incomplete strategy
% 1.90/0.67 % (3958487)Time elapsed: 0.001 s
% 1.90/0.67 % (3958487)Peak memory usage: 11 MB
% 1.90/0.67 % (3958487)------------------------------
% 1.90/0.67 % (3958487)------------------------------
% 1.90/0.67 % (3958483)Instruction limit reached!
% 1.90/0.67 % (3958483)------------------------------
% 1.90/0.67 % (3958483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.90/0.67 % (3958483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.90/0.67 % (3958483)CaDiCaL version: 2.1.3
% 1.90/0.67 % (3958483)Termination reason: Instruction limit
% 1.90/0.67 % (3958483)Termination phase: Saturation
% 1.90/0.67 % (3958483)Time elapsed: 0.014 s
% 1.90/0.67 % (3958483)Peak memory usage: 12 MB
% 1.90/0.67 % (3958483)Instructions burned: 14 (million)
% 1.90/0.67 % (3958492)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1858792270:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.31/0.72 % (3958492)Instruction limit reached!
% 2.31/0.72 % (3958492)------------------------------
% 2.31/0.72 % (3958492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.72 % (3958492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.72 % (3958492)CaDiCaL version: 2.1.3
% 2.31/0.72 % (3958492)Termination reason: Instruction limit
% 2.31/0.72 % (3958492)Termination phase: Saturation
% 2.31/0.72 % (3958492)Time elapsed: 0.013 s
% 2.31/0.72 % (3958492)Peak memory usage: 12 MB
% 2.31/0.72 % (3958492)Instructions burned: 29 (million)
% 2.31/0.72 % (3958497)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.31/0.72 % (3958497)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.31/0.72 % (3958493)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2522045866:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.31/0.72 % (3958498)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.31/0.72 % (3958497)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=1851526842:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.31/0.72 % (3958498)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=2024179184:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.31/0.72 % (3958499)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=3298541522:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.31/0.72 % (3958501)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3898429905:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.31/0.72 % (3958498)Instruction limit reached!
% 2.31/0.72 % (3958498)------------------------------
% 2.31/0.72 % (3958498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.72 % (3958498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.72 % (3958498)CaDiCaL version: 2.1.3
% 2.31/0.72 % (3958498)Termination reason: Instruction limit
% 2.31/0.72 % (3958498)Termination phase: Saturation
% 2.31/0.72 % (3958498)Time elapsed: 0.008 s
% 2.31/0.72 % (3958498)Peak memory usage: 12 MB
% 2.31/0.72 % (3958498)Instructions burned: 8 (million)
% 2.31/0.72 % (3958497)Instruction limit reached!
% 2.31/0.72 % (3958497)------------------------------
% 2.31/0.72 % (3958497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.72 % (3958497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.72 % (3958497)CaDiCaL version: 2.1.3
% 2.31/0.72 % (3958497)Termination reason: Instruction limit
% 2.31/0.72 % (3958497)Termination phase: Saturation
% 2.31/0.72 % (3958497)Time elapsed: 0.014 s
% 2.31/0.72 % (3958497)Peak memory usage: 12 MB
% 2.31/0.72 % (3958497)Instructions burned: 14 (million)
% 2.31/0.72 % (3958493)Instruction limit reached!
% 2.31/0.72 % (3958493)------------------------------
% 2.31/0.72 % (3958493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.72 % (3958493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.72 % (3958493)CaDiCaL version: 2.1.3
% 2.31/0.72 % (3958493)Termination reason: Instruction limit
% 2.31/0.72 % (3958493)Termination phase: Saturation
% 2.31/0.72 % (3958493)Time elapsed: 0.019 s
% 2.31/0.72 % (3958493)Peak memory usage: 11 MB
% 2.31/0.72 % (3958493)Instructions burned: 23 (million)
% 2.31/0.72 % (3958501)Instruction limit reached!
% 2.31/0.72 % (3958501)------------------------------
% 2.31/0.72 % (3958501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.72 % (3958501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.72 % (3958501)CaDiCaL version: 2.1.3
% 2.31/0.72 % (3958501)Termination reason: Instruction limit
% 2.31/0.72 % (3958501)Termination phase: Saturation
% 2.31/0.72 % (3958501)Time elapsed: 0.004 s
% 2.31/0.78 % (3958501)Peak memory usage: 12 MB
% 2.31/0.78 % (3958501)Instructions burned: 9 (million)
% 2.31/0.78 % (3958494)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1691785441:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.31/0.78 % (3958499)Instruction limit reached!
% 2.31/0.78 % (3958499)------------------------------
% 2.31/0.78 % (3958499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.78 % (3958499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.78 % (3958499)CaDiCaL version: 2.1.3
% 2.31/0.78 % (3958499)Termination reason: Instruction limit
% 2.31/0.78 % (3958499)Termination phase: Saturation
% 2.31/0.78 % (3958499)Time elapsed: 0.027 s
% 2.31/0.78 % (3958499)Peak memory usage: 12 MB
% 2.31/0.78 % (3958499)Instructions burned: 31 (million)
% 2.31/0.78 % (3958508)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=697523838:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.31/0.78 % (3958507)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2541141529:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.31/0.78 % (3958508)Instruction limit reached!
% 2.31/0.78 % (3958508)------------------------------
% 2.31/0.78 % (3958508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.78 % (3958508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.78 % (3958508)CaDiCaL version: 2.1.3
% 2.31/0.78 % (3958508)Termination reason: Instruction limit
% 2.31/0.78 % (3958508)Termination phase: Saturation
% 2.31/0.78 % (3958508)Time elapsed: 0.011 s
% 2.31/0.78 % (3958508)Peak memory usage: 12 MB
% 2.31/0.78 % (3958508)Instructions burned: 21 (million)
% 2.31/0.78 % (3958509)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3663527964:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.31/0.78 % (3958510)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1559815168:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.31/0.78 % (3958507)Instruction limit reached!
% 2.31/0.78 % (3958507)------------------------------
% 2.31/0.78 % (3958507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.78 % (3958507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.78 % (3958507)CaDiCaL version: 2.1.3
% 2.31/0.78 % (3958507)Termination reason: Instruction limit
% 2.31/0.78 % (3958507)Termination phase: Saturation
% 2.31/0.78 % (3958507)Time elapsed: 0.017 s
% 2.31/0.78 % (3958507)Peak memory usage: 11 MB
% 2.31/0.78 % (3958507)Instructions burned: 23 (million)
% 2.31/0.78 % (3958515)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=111748436:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.31/0.78 % (3958513)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2425121415:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.31/0.78 % (3958513)Refutation not found, incomplete strategy
% 2.31/0.78 % (3958513)------------------------------
% 2.31/0.78 % (3958513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.78 % (3958513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.78 % (3958513)CaDiCaL version: 2.1.3
% 2.31/0.78 % (3958513)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.78 % (3958513)Time elapsed: 0.002 s
% 2.31/0.78 % (3958513)Peak memory usage: 12 MB
% 2.31/0.78 % (3958513)Instructions burned: 1 (million)
% 2.31/0.78 % (3958513)------------------------------
% 2.31/0.78 % (3958513)------------------------------
% 2.31/0.78 % (3958494)Instruction limit reached!
% 2.31/0.78 % (3958494)------------------------------
% 2.31/0.78 % (3958494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.78 % (3958494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.78 % (3958494)CaDiCaL version: 2.1.3
% 2.31/0.78 % (3958494)Termination reason: Instruction limit
% 2.31/0.78 % (3958494)Termination phase: Saturation
% 2.31/0.78 % (3958494)Time elapsed: 0.054 s
% 2.31/0.78 % (3958494)Peak memory usage: 12 MB
% 2.31/0.78 % (3958494)Instructions burned: 61 (million)
% 2.31/0.78 % (3958515)Instruction limit reached!
% 2.31/0.78 % (3958515)------------------------------
% 2.31/0.78 % (3958515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.88 % (3958515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.88 % (3958515)CaDiCaL version: 2.1.3
% 2.75/0.88 % (3958515)Termination reason: Instruction limit
% 2.75/0.88 % (3958515)Termination phase: Saturation
% 2.75/0.88 % (3958515)Time elapsed: 0.019 s
% 2.75/0.88 % (3958515)Peak memory usage: 12 MB
% 2.75/0.88 % (3958515)Instructions burned: 43 (million)
% 2.75/0.88 % (3958518)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.75/0.88 % (3958518)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=949516572:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.75/0.88 % (3958523)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.75/0.88 % (3958523)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1980709155:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.75/0.88 % (3958523)Refutation not found, incomplete strategy
% 2.75/0.88 % (3958523)------------------------------
% 2.75/0.88 % (3958523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.88 % (3958523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.88 % (3958523)CaDiCaL version: 2.1.3
% 2.75/0.88 % (3958523)Termination reason: Refutation not found, incomplete strategy
% 2.75/0.88 % (3958523)Time elapsed: 0.001 s
% 2.75/0.88 % (3958523)Peak memory usage: 11 MB
% 2.75/0.88 % (3958523)Instructions burned: 1 (million)
% 2.75/0.88 % (3958523)------------------------------
% 2.75/0.88 % (3958523)------------------------------
% 2.75/0.88 % (3958518)Instruction limit reached!
% 2.75/0.88 % (3958518)------------------------------
% 2.75/0.88 % (3958518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.88 % (3958518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.88 % (3958518)CaDiCaL version: 2.1.3
% 2.75/0.88 % (3958518)Termination reason: Instruction limit
% 2.75/0.88 % (3958518)Termination phase: Saturation
% 2.75/0.88 % (3958518)Time elapsed: 0.007 s
% 2.75/0.88 % (3958518)Peak memory usage: 12 MB
% 2.75/0.88 % (3958518)Instructions burned: 8 (million)
% 2.75/0.88 % (3958522)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=1305228323:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.75/0.88 % (3958521)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3609649593:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.75/0.88 % (3958522)Refutation not found, incomplete strategy
% 2.75/0.88 % (3958522)------------------------------
% 2.75/0.88 % (3958522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.88 % (3958522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.88 % (3958522)CaDiCaL version: 2.1.3
% 2.75/0.88 % (3958522)Termination reason: Refutation not found, incomplete strategy
% 2.75/0.88 % (3958522)Time elapsed: 0.001 s
% 2.75/0.88 % (3958522)Peak memory usage: 11 MB
% 2.75/0.88 % (3958521)Refutation not found, incomplete strategy
% 2.75/0.88 % (3958521)------------------------------
% 2.75/0.88 % (3958521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.75/0.88 % (3958521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.88 % (3958521)CaDiCaL version: 2.1.3
% 2.75/0.88 % (3958521)Termination reason: Refutation not found, incomplete strategy
% 2.75/0.88 % (3958521)Time elapsed: 0.001 s
% 2.75/0.88 % (3958521)Peak memory usage: 11 MB
% 2.75/0.88 % (3958522)------------------------------
% 2.75/0.88 % (3958522)------------------------------
% 2.75/0.88 % (3958521)------------------------------
% 2.75/0.88 % (3958521)------------------------------
% 2.75/0.88 % (3958526)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1633245831:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.75/0.88 % (3958526)Instruction limit reached!
% 2.75/0.88 % (3958526)------------------------------
% 2.75/0.88 % (3958526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/0.96 % (3958526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/0.96 % (3958526)CaDiCaL version: 2.1.3
% 3.14/0.96 % (3958526)Termination reason: Instruction limit
% 3.14/0.96 % (3958526)Termination phase: Saturation
% 3.14/0.96 % (3958526)Time elapsed: 0.011 s
% 3.14/0.96 % (3958526)Peak memory usage: 12 MB
% 3.14/0.96 % (3958526)Instructions burned: 27 (million)
% 3.14/0.96 % (3958527)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1686761882:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.14/0.96 % (3958527)Refutation not found, incomplete strategy
% 3.14/0.96 % (3958527)------------------------------
% 3.14/0.96 % (3958527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/0.96 % (3958527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/0.96 % (3958527)CaDiCaL version: 2.1.3
% 3.14/0.96 % (3958527)Termination reason: Refutation not found, incomplete strategy
% 3.14/0.96 % (3958527)Time elapsed: 0.003 s
% 3.14/0.96 % (3958527)Peak memory usage: 12 MB
% 3.14/0.96 % (3958527)Instructions burned: 3 (million)
% 3.14/0.96 % (3958530)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=2585816151:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.14/0.96 % (3958527)------------------------------
% 3.14/0.96 % (3958527)------------------------------
% 3.14/0.96 % (3958531)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=1268030820:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.14/0.96 % (3958510)Instruction limit reached!
% 3.14/0.96 % (3958510)------------------------------
% 3.14/0.96 % (3958510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/0.96 % (3958510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/0.96 % (3958510)CaDiCaL version: 2.1.3
% 3.14/0.96 % (3958510)Termination reason: Instruction limit
% 3.14/0.96 % (3958510)Termination phase: Saturation
% 3.14/0.96 % (3958510)Time elapsed: 0.105 s
% 3.14/0.96 % (3958510)Peak memory usage: 13 MB
% 3.14/0.96 % (3958510)Instructions burned: 144 (million)
% 3.14/0.96 % (3958533)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=4273461897:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.14/0.96 % (3958536)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1519510657:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.14/0.96 % (3958533)Instruction limit reached!
% 3.14/0.96 % (3958533)------------------------------
% 3.14/0.96 % (3958533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/0.96 % (3958533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/0.96 % (3958533)CaDiCaL version: 2.1.3
% 3.14/0.96 % (3958533)Termination reason: Instruction limit
% 3.14/0.96 % (3958533)Termination phase: Saturation
% 3.14/0.96 % (3958533)Time elapsed: 0.022 s
% 3.14/0.96 % (3958533)Peak memory usage: 12 MB
% 3.14/0.96 % (3958533)Instructions burned: 45 (million)
% 3.14/0.96 % (3958536)Refutation not found, incomplete strategy
% 3.14/0.96 % (3958536)------------------------------
% 3.14/0.96 % (3958536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/0.96 % (3958536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/0.96 % (3958536)CaDiCaL version: 2.1.3
% 3.14/0.96 % (3958536)Termination reason: Refutation not found, incomplete strategy
% 3.14/0.96 % (3958536)Time elapsed: 0.002 s
% 3.14/0.96 % (3958536)Peak memory usage: 12 MB
% 3.14/0.96 % (3958536)Instructions burned: 1 (million)
% 3.14/0.96 % (3958536)------------------------------
% 3.14/0.96 % (3958536)------------------------------
% 3.14/0.96 % (3958538)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=647457541:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.14/0.96 % (3958541)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.14/0.96 % (3958541)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2822824767:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.14/1.02 % (3958538)Instruction limit reached!
% 3.14/1.02 % (3958538)------------------------------
% 3.14/1.02 % (3958538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/1.02 % (3958538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.02 % (3958538)CaDiCaL version: 2.1.3
% 3.14/1.02 % (3958538)Termination reason: Instruction limit
% 3.14/1.02 % (3958538)Termination phase: Saturation
% 3.14/1.02 % (3958538)Time elapsed: 0.018 s
% 3.14/1.02 % (3958538)Peak memory usage: 12 MB
% 3.14/1.02 % (3958538)Instructions burned: 21 (million)
% 3.14/1.02 % (3958542)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2835610145:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.14/1.02 % (3958453)Instruction limit reached!
% 3.14/1.02 % (3958453)------------------------------
% 3.14/1.02 % (3958453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/1.02 % (3958453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.02 % (3958453)CaDiCaL version: 2.1.3
% 3.14/1.02 % (3958453)Termination reason: Instruction limit
% 3.14/1.02 % (3958453)Termination phase: Saturation
% 3.14/1.02 % (3958453)Time elapsed: 0.392 s
% 3.14/1.02 % (3958453)Peak memory usage: 13 MB
% 3.14/1.02 % (3958453)Instructions burned: 634 (million)
% 3.14/1.02 % (3958542)Instruction limit reached!
% 3.14/1.02 % (3958542)------------------------------
% 3.14/1.02 % (3958542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/1.02 % (3958542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.02 % (3958542)CaDiCaL version: 2.1.3
% 3.14/1.02 % (3958542)Termination reason: Instruction limit
% 3.14/1.02 % (3958542)Termination phase: Saturation
% 3.14/1.02 % (3958542)Time elapsed: 0.013 s
% 3.14/1.02 % (3958542)Peak memory usage: 12 MB
% 3.14/1.02 % (3958542)Instructions burned: 13 (million)
% 3.14/1.02 % (3958545)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=1864869620:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.14/1.02 % (3958547)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1781729493:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.14/1.02 % (3958547)Refutation not found, incomplete strategy
% 3.14/1.02 % (3958547)------------------------------
% 3.14/1.02 % (3958547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/1.02 % (3958547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.02 % (3958547)CaDiCaL version: 2.1.3
% 3.14/1.02 % (3958547)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.02 % (3958547)Time elapsed: 0.003 s
% 3.14/1.02 % (3958547)Peak memory usage: 12 MB
% 3.14/1.02 % (3958547)Instructions burned: 2 (million)
% 3.14/1.02 % (3958547)------------------------------
% 3.14/1.02 % (3958547)------------------------------
% 3.14/1.02 % (3958541)Instruction limit reached!
% 3.14/1.02 % (3958541)------------------------------
% 3.14/1.02 % (3958541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/1.02 % (3958541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.02 % (3958541)CaDiCaL version: 2.1.3
% 3.14/1.02 % (3958541)Termination reason: Instruction limit
% 3.14/1.02 % (3958541)Termination phase: Saturation
% 3.14/1.02 % (3958541)Time elapsed: 0.066 s
% 3.14/1.02 % (3958541)Peak memory usage: 12 MB
% 3.14/1.02 % (3958541)Instructions burned: 202 (million)
% 3.14/1.02 % (3958548)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1595460232:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.14/1.02 % (3958552)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=972575846:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.14/1.02 % (3958545)Instruction limit reached!
% 3.14/1.02 % (3958545)------------------------------
% 3.14/1.02 % (3958545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.14/1.02 % (3958545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.02 % (3958545)CaDiCaL version: 2.1.3
% 4.92/1.10 % (3958545)Termination reason: Instruction limit
% 4.92/1.10 % (3958545)Termination phase: Saturation
% 4.92/1.10 % (3958545)Time elapsed: 0.049 s
% 4.92/1.10 % (3958545)Peak memory usage: 12 MB
% 4.92/1.10 % (3958545)Instructions burned: 67 (million)
% 4.92/1.10 % (3958552)Instruction limit reached!
% 4.92/1.10 % (3958552)------------------------------
% 4.92/1.10 % (3958552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.10 % (3958552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.10 % (3958552)CaDiCaL version: 2.1.3
% 4.92/1.10 % (3958552)Termination reason: Instruction limit
% 4.92/1.10 % (3958552)Termination phase: Saturation
% 4.92/1.10 % (3958552)Time elapsed: 0.015 s
% 4.92/1.10 % (3958552)Peak memory usage: 12 MB
% 4.92/1.10 % (3958552)Instructions burned: 35 (million)
% 4.92/1.10 % (3958548)Instruction limit reached!
% 4.92/1.10 % (3958548)------------------------------
% 4.92/1.10 % (3958548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.10 % (3958548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.10 % (3958548)CaDiCaL version: 2.1.3
% 4.92/1.10 % (3958548)Termination reason: Instruction limit
% 4.92/1.10 % (3958548)Termination phase: Saturation
% 4.92/1.10 % (3958548)Time elapsed: 0.028 s
% 4.92/1.10 % (3958548)Peak memory usage: 12 MB
% 4.92/1.10 % (3958548)Instructions burned: 32 (million)
% 4.92/1.10 % (3958551)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2384205643:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 4.92/1.10 % (3958556)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.92/1.10 % (3958556)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1695441055:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 4.92/1.10 % (3958555)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1506657718:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 4.92/1.10 % (3958555)Refutation not found, incomplete strategy
% 4.92/1.10 % (3958555)------------------------------
% 4.92/1.10 % (3958555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.10 % (3958555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.10 % (3958555)CaDiCaL version: 2.1.3
% 4.92/1.10 % (3958555)Termination reason: Refutation not found, incomplete strategy
% 4.92/1.10 % (3958555)Time elapsed: 0.003 s
% 4.92/1.10 % (3958555)Peak memory usage: 12 MB
% 4.92/1.10 % (3958555)Instructions burned: 2 (million)
% 4.92/1.10 % (3958557)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4097048436:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 4.92/1.10 % (3958555)------------------------------
% 4.92/1.10 % (3958555)------------------------------
% 4.92/1.10 % (3958557)Refutation not found, incomplete strategy
% 4.92/1.10 % (3958557)------------------------------
% 4.92/1.10 % (3958557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.10 % (3958557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.10 % (3958557)CaDiCaL version: 2.1.3
% 4.92/1.10 % (3958557)Termination reason: Refutation not found, incomplete strategy
% 4.92/1.10 % (3958557)Time elapsed: 0.001 s
% 4.92/1.10 % (3958557)Peak memory usage: 11 MB
% 4.92/1.10 % (3958557)Instructions burned: 1 (million)
% 4.92/1.10 % (3958557)------------------------------
% 4.92/1.10 % (3958557)------------------------------
% 4.92/1.10 % (3958562)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3151978255:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 4.92/1.10 % (3958563)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3534882972:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 4.92/1.10 % (3958563)Refutation not found, incomplete strategy
% 4.92/1.10 % (3958563)------------------------------
% 4.92/1.10 % (3958563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/1.10 % (3958563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.10 % (3958563)CaDiCaL version: 2.1.3
% 4.92/1.10 % (3958563)Termination reason: Refutation not found, incomplete strategy
% 4.92/1.10 % (3958563)Time elapsed: 0.001 s
% 4.92/1.10 % (3958563)Peak memory usage: 11 MB
% 4.92/1.10 % (3958563)------------------------------
% 5.52/1.18 % (3958563)------------------------------
% 5.52/1.18 % (3958556)Instruction limit reached!
% 5.52/1.18 % (3958556)------------------------------
% 5.52/1.18 % (3958556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.18 % (3958556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.18 % (3958556)CaDiCaL version: 2.1.3
% 5.52/1.18 % (3958556)Termination reason: Instruction limit
% 5.52/1.18 % (3958556)Termination phase: Saturation
% 5.52/1.18 % (3958556)Time elapsed: 0.067 s
% 5.52/1.18 % (3958556)Peak memory usage: 12 MB
% 5.52/1.18 % (3958556)Instructions burned: 182 (million)
% 5.52/1.18 % (3958530)Instruction limit reached!
% 5.52/1.18 % (3958530)------------------------------
% 5.52/1.18 % (3958530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.18 % (3958530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.18 % (3958530)CaDiCaL version: 2.1.3
% 5.52/1.18 % (3958530)Termination reason: Instruction limit
% 5.52/1.18 % (3958530)Termination phase: Saturation
% 5.52/1.18 % (3958530)Time elapsed: 0.248 s
% 5.52/1.18 % (3958530)Peak memory usage: 13 MB
% 5.52/1.18 % (3958530)Instructions burned: 316 (million)
% 5.52/1.18 % (3958567)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1343296894:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.52/1.18 % (3958567)Refutation not found, incomplete strategy
% 5.52/1.18 % (3958567)------------------------------
% 5.52/1.18 % (3958567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.18 % (3958567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.18 % (3958567)CaDiCaL version: 2.1.3
% 5.52/1.18 % (3958567)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.18 % (3958567)Time elapsed: 0.001 s
% 5.52/1.18 % (3958567)Peak memory usage: 12 MB
% 5.52/1.18 % (3958567)Instructions burned: 1 (million)
% 5.52/1.18 % (3958567)------------------------------
% 5.52/1.18 % (3958567)------------------------------
% 5.52/1.18 % (3958566)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4039284601:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.52/1.18 % (3958566)Refutation not found, incomplete strategy
% 5.52/1.18 % (3958566)------------------------------
% 5.52/1.18 % (3958566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.18 % (3958566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.18 % (3958566)CaDiCaL version: 2.1.3
% 5.52/1.18 % (3958566)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.18 % (3958566)Time elapsed: 0.001 s
% 5.52/1.18 % (3958566)Peak memory usage: 11 MB
% 5.52/1.18 % (3958566)Instructions burned: 1 (million)
% 5.52/1.18 % (3958566)------------------------------
% 5.52/1.18 % (3958566)------------------------------
% 5.52/1.18 % (3958570)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=663007496:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 5.52/1.18 % (3958551)Instruction limit reached!
% 5.52/1.18 % (3958551)------------------------------
% 5.52/1.18 % (3958551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.18 % (3958551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.18 % (3958551)CaDiCaL version: 2.1.3
% 5.52/1.18 % (3958551)Termination reason: Instruction limit
% 5.52/1.18 % (3958551)Termination phase: Saturation
% 5.52/1.18 % (3958551)Time elapsed: 0.121 s
% 5.52/1.18 % (3958551)Peak memory usage: 12 MB
% 5.52/1.18 % (3958551)Instructions burned: 137 (million)
% 5.52/1.18 % (3958568)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1874209038:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 5.52/1.18 % (3958568)Refutation not found, incomplete strategy
% 5.52/1.18 % (3958568)------------------------------
% 5.52/1.18 % (3958568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.18 % (3958568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.18 % (3958568)CaDiCaL version: 2.1.3
% 5.52/1.18 % (3958568)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.18 % (3958568)Time elapsed: 0.002 s
% 5.52/1.18 % (3958568)Peak memory usage: 11 MB
% 5.52/1.18 % (3958568)Instructions burned: 1 (million)
% 5.52/1.18 % (3958568)------------------------------
% 5.52/1.18 % (3958568)------------------------------
% 5.52/1.18 % (3958570)Instruction limit reached!
% 5.63/1.27 % (3958570)------------------------------
% 5.63/1.27 % (3958570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.27 % (3958570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.27 % (3958570)CaDiCaL version: 2.1.3
% 5.63/1.27 % (3958570)Termination reason: Instruction limit
% 5.63/1.27 % (3958570)Termination phase: Saturation
% 5.63/1.27 % (3958570)Time elapsed: 0.018 s
% 5.63/1.27 % (3958570)Peak memory usage: 12 MB
% 5.63/1.27 % (3958570)Instructions burned: 47 (million)
% 5.63/1.27 % (3958562)Instruction limit reached!
% 5.63/1.27 % (3958562)------------------------------
% 5.63/1.27 % (3958562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.27 % (3958562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.27 % (3958562)CaDiCaL version: 2.1.3
% 5.63/1.27 % (3958562)Termination reason: Instruction limit
% 5.63/1.27 % (3958562)Termination phase: Saturation
% 5.63/1.27 % (3958562)Time elapsed: 0.074 s
% 5.63/1.27 % (3958562)Peak memory usage: 12 MB
% 5.63/1.27 % (3958562)Instructions burned: 97 (million)
% 5.63/1.27 % (3958572)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2828953944:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 5.63/1.27 % (3958572)Refutation not found, incomplete strategy
% 5.63/1.27 % (3958572)------------------------------
% 5.63/1.27 % (3958572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.27 % (3958572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.27 % (3958572)CaDiCaL version: 2.1.3
% 5.63/1.27 % (3958572)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.27 % (3958572)Time elapsed: 0.002 s
% 5.63/1.27 % (3958572)Peak memory usage: 12 MB
% 5.63/1.27 % (3958572)Instructions burned: 1 (million)
% 5.63/1.27 % (3958572)------------------------------
% 5.63/1.27 % (3958572)------------------------------
% 5.63/1.27 % (3958576)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2169019176:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.63/1.27 % (3958575)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1210451122:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.63/1.27 % (3958578)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=4284304796:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 5.63/1.27 % (3958580)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=385857137:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 5.63/1.27 % (3958577)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=70031547:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.63/1.27 % (3958580)Refutation not found, incomplete strategy
% 5.63/1.27 % (3958580)------------------------------
% 5.63/1.27 % (3958580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.27 % (3958580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.27 % (3958580)CaDiCaL version: 2.1.3
% 5.63/1.27 % (3958580)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.27 % (3958580)Time elapsed: 0.002 s
% 5.63/1.27 % (3958580)Peak memory usage: 12 MB
% 5.63/1.27 % (3958580)Instructions burned: 1 (million)
% 5.63/1.27 % (3958580)------------------------------
% 5.63/1.27 % (3958580)------------------------------
% 5.63/1.27 % (3958577)Instruction limit reached!
% 5.63/1.27 % (3958577)------------------------------
% 5.63/1.27 % (3958577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.27 % (3958577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.27 % (3958577)CaDiCaL version: 2.1.3
% 5.63/1.27 % (3958577)Termination reason: Instruction limit
% 5.63/1.27 % (3958577)Termination phase: Saturation
% 5.63/1.27 % (3958577)Time elapsed: 0.027 s
% 5.63/1.27 % (3958577)Peak memory usage: 12 MB
% 5.63/1.27 % (3958577)Instructions burned: 68 (million)
% 6.48/1.46 % (3958576)Instruction limit reached!
% 6.48/1.46 % (3958576)------------------------------
% 6.48/1.46 % (3958576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.46 % (3958576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.46 % (3958576)CaDiCaL version: 2.1.3
% 6.48/1.46 % (3958576)Termination reason: Instruction limit
% 6.48/1.46 % (3958576)Termination phase: Saturation
% 6.48/1.46 % (3958576)Time elapsed: 0.066 s
% 6.48/1.46 % (3958576)Peak memory usage: 12 MB
% 6.48/1.46 % (3958576)Instructions burned: 96 (million)
% 6.48/1.46 % (3958586)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3577690898:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/375Mi)
% 6.48/1.46 % (3958586)Refutation not found, incomplete strategy
% 6.48/1.46 % (3958586)------------------------------
% 6.48/1.46 % (3958586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.46 % (3958586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.46 % (3958586)CaDiCaL version: 2.1.3
% 6.48/1.46 % (3958586)Termination reason: Refutation not found, incomplete strategy
% 6.48/1.46 % (3958586)Time elapsed: 0.001 s
% 6.48/1.46 % (3958586)Peak memory usage: 11 MB
% 6.48/1.46 % (3958586)------------------------------
% 6.48/1.46 % (3958586)------------------------------
% 6.48/1.46 % (3958588)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=98956661:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.48/1.46 % (3958587)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3508708404:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 6.48/1.46 % (3958588)Instruction limit reached!
% 6.48/1.46 % (3958588)------------------------------
% 6.48/1.46 % (3958588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.46 % (3958588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.46 % (3958588)CaDiCaL version: 2.1.3
% 6.48/1.46 % (3958588)Termination reason: Instruction limit
% 6.48/1.46 % (3958588)Termination phase: Saturation
% 6.48/1.46 % (3958588)Time elapsed: 0.017 s
% 6.48/1.46 % (3958588)Peak memory usage: 12 MB
% 6.48/1.46 % (3958588)Instructions burned: 36 (million)
% 6.48/1.46 % (3958578)Instruction limit reached!
% 6.48/1.46 % (3958578)------------------------------
% 6.48/1.46 % (3958578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.46 % (3958578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.46 % (3958578)CaDiCaL version: 2.1.3
% 6.48/1.46 % (3958578)Termination reason: Instruction limit
% 6.48/1.46 % (3958578)Termination phase: Saturation
% 6.48/1.46 % (3958578)Time elapsed: 0.092 s
% 6.48/1.46 % (3958578)Peak memory usage: 12 MB
% 6.48/1.46 % (3958578)Instructions burned: 106 (million)
% 6.48/1.46 % (3958590)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=204241184:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.48/1.46 % (3958594)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1120118806:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.48/1.46 % (3958594)Instruction limit reached!
% 6.48/1.46 % (3958594)------------------------------
% 6.48/1.46 % (3958594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.46 % (3958594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.46 % (3958594)CaDiCaL version: 2.1.3
% 6.48/1.46 % (3958594)Termination reason: Instruction limit
% 6.48/1.46 % (3958594)Termination phase: Saturation
% 6.48/1.46 % (3958594)Time elapsed: 0.010 s
% 6.48/1.46 % (3958594)Peak memory usage: 12 MB
% 6.48/1.46 % (3958594)Instructions burned: 23 (million)
% 6.48/1.46 % (3958593)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=243158026:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.48/1.46 % (3958593)Refutation not found, incomplete strategy
% 6.48/1.46 % (3958593)------------------------------
% 6.48/1.46 % (3958593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.48/1.46 % (3958593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.54 % (3958593)CaDiCaL version: 2.1.3
% 7.26/1.54 % (3958593)Termination reason: Refutation not found, incomplete strategy
% 7.26/1.54 % (3958593)Time elapsed: 0.002 s
% 7.26/1.54 % (3958593)Peak memory usage: 12 MB
% 7.26/1.54 % (3958593)------------------------------
% 7.26/1.54 % (3958593)------------------------------
% 7.26/1.54 % (3958599)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1495190340:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/28Mi)
% 7.26/1.54 % (3958599)Refutation not found, incomplete strategy
% 7.26/1.54 % (3958599)------------------------------
% 7.26/1.54 % (3958599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.54 % (3958599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.54 % (3958599)CaDiCaL version: 2.1.3
% 7.26/1.54 % (3958599)Termination reason: Refutation not found, incomplete strategy
% 7.26/1.54 % (3958599)Time elapsed: 0.001 s
% 7.26/1.54 % (3958599)Peak memory usage: 11 MB
% 7.26/1.54 % (3958599)Instructions burned: 1 (million)
% 7.26/1.54 % (3958599)------------------------------
% 7.26/1.54 % (3958599)------------------------------
% 7.26/1.54 % (3958531)Instruction limit reached!
% 7.26/1.54 % (3958531)------------------------------
% 7.26/1.54 % (3958531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.54 % (3958531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.54 % (3958531)CaDiCaL version: 2.1.3
% 7.26/1.54 % (3958531)Termination reason: Instruction limit
% 7.26/1.54 % (3958531)Termination phase: Saturation
% 7.26/1.54 % (3958531)Time elapsed: 0.482 s
% 7.26/1.54 % (3958531)Peak memory usage: 13 MB
% 7.26/1.54 % (3958531)Instructions burned: 853 (million)
% 7.26/1.54 % (3958597)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=4090988691:i=338:bd=all:ins=4:rtra=on_2991 on theBenchmark for (2991ds/338Mi)
% 7.26/1.54 % (3958601)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.26/1.54 % (3958601)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3172275193:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 7.26/1.54 % (3958590)Instruction limit reached!
% 7.26/1.54 % (3958590)------------------------------
% 7.26/1.54 % (3958590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.54 % (3958590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.54 % (3958590)CaDiCaL version: 2.1.3
% 7.26/1.54 % (3958590)Termination reason: Instruction limit
% 7.26/1.54 % (3958590)Termination phase: Saturation
% 7.26/1.54 % (3958590)Time elapsed: 0.064 s
% 7.26/1.54 % (3958590)Peak memory usage: 12 MB
% 7.26/1.54 % (3958590)Instructions burned: 92 (million)
% 7.26/1.54 % (3958602)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=1033059959:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 7.26/1.54 % (3958605)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3031075437:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 7.26/1.54 % (3958605)Refutation not found, incomplete strategy
% 7.26/1.54 % (3958605)------------------------------
% 7.26/1.54 % (3958605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.54 % (3958605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.54 % (3958605)CaDiCaL version: 2.1.3
% 7.26/1.54 % (3958605)Termination reason: Refutation not found, incomplete strategy
% 7.26/1.54 % (3958605)Time elapsed: 0.001 s
% 7.26/1.54 % (3958605)Peak memory usage: 11 MB
% 7.26/1.54 % (3958605)------------------------------
% 7.26/1.54 % (3958605)------------------------------
% 7.26/1.54 % (3958601)Instruction limit reached!
% 7.26/1.54 % (3958601)------------------------------
% 7.26/1.54 % (3958601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.26/1.54 % (3958601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/1.54 % (3958601)CaDiCaL version: 2.1.3
% 7.26/1.54 % (3958601)Termination reason: Instruction limit
% 7.26/1.54 % (3958601)Termination phase: Saturation
% 7.26/1.54 % (3958601)Time elapsed: 0.049 s
% 7.26/1.54 % (3958601)Peak memory usage: 12 MB
% 7.26/1.54 % (3958601)Instructions burned: 139 (million)
% 7.86/1.62 % (3958609)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3798190101:i=116:ep=RSTC:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/116Mi)
% 7.86/1.62 % (3958608)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 7.86/1.62 % (3958575)Instruction limit reached!
% 7.86/1.62 % (3958575)------------------------------
% 7.86/1.62 % (3958575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.62 % (3958575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.62 % (3958575)CaDiCaL version: 2.1.3
% 7.86/1.62 % (3958575)Termination reason: Instruction limit
% 7.86/1.62 % (3958575)Termination phase: Saturation
% 7.86/1.62 % (3958575)Time elapsed: 0.259 s
% 7.86/1.62 % (3958575)Peak memory usage: 13 MB
% 7.86/1.62 % (3958575)Instructions burned: 451 (million)
% 7.86/1.62 % (3958608)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1588868494:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/373Mi)
% 7.86/1.62 % (3958609)Instruction limit reached!
% 7.86/1.62 % (3958609)------------------------------
% 7.86/1.62 % (3958609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.62 % (3958609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.62 % (3958609)CaDiCaL version: 2.1.3
% 7.86/1.62 % (3958609)Termination reason: Instruction limit
% 7.86/1.62 % (3958609)Termination phase: Saturation
% 7.86/1.62 % (3958609)Time elapsed: 0.039 s
% 7.86/1.62 % (3958609)Peak memory usage: 12 MB
% 7.86/1.62 % (3958609)Instructions burned: 119 (million)
% 7.86/1.62 % (3958611)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2679013828:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 7.86/1.62 % (3958611)Refutation not found, incomplete strategy
% 7.86/1.62 % (3958611)------------------------------
% 7.86/1.62 % (3958611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.62 % (3958611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.62 % (3958611)CaDiCaL version: 2.1.3
% 7.86/1.62 % (3958611)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.62 % (3958611)Time elapsed: 0.003 s
% 7.86/1.62 % (3958611)Peak memory usage: 12 MB
% 7.86/1.62 % (3958611)Instructions burned: 2 (million)
% 7.86/1.62 % (3958613)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2221259492:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.86/1.62 % (3958611)------------------------------
% 7.86/1.62 % (3958611)------------------------------
% 7.86/1.62 % (3958616)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=3977856712:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/9840Mi)
% 7.86/1.62 % (3958509)Instruction limit reached!
% 7.86/1.62 % (3958509)------------------------------
% 7.86/1.62 % (3958509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.62 % (3958509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.62 % (3958509)CaDiCaL version: 2.1.3
% 7.86/1.62 % (3958509)Termination reason: Instruction limit
% 7.86/1.62 % (3958509)Termination phase: Saturation
% 7.86/1.62 % (3958509)Time elapsed: 0.778 s
% 7.86/1.62 % (3958509)Peak memory usage: 13 MB
% 7.86/1.62 % (3958509)Instructions burned: 1240 (million)
% 7.86/1.62 % (3958613)Instruction limit reached!
% 7.86/1.62 % (3958613)------------------------------
% 7.86/1.62 % (3958613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.62 % (3958613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.62 % (3958613)CaDiCaL version: 2.1.3
% 7.86/1.62 % (3958613)Termination reason: Instruction limit
% 7.86/1.62 % (3958613)Termination phase: Saturation
% 7.86/1.62 % (3958613)Time elapsed: 0.100 s
% 7.86/1.62 % (3958613)Peak memory usage: 13 MB
% 7.86/1.62 % (3958613)Instructions burned: 272 (million)
% 7.86/1.62 % (3958618)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1881418479:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 7.86/1.62 % (3958618)Refutation not found, incomplete strategy
% 7.86/1.69 % (3958618)------------------------------
% 7.86/1.69 % (3958618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.69 % (3958618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.69 % (3958618)CaDiCaL version: 2.1.3
% 7.86/1.69 % (3958618)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.69 % (3958618)Time elapsed: 0.002 s
% 7.86/1.69 % (3958618)Peak memory usage: 11 MB
% 7.86/1.69 % (3958618)------------------------------
% 7.86/1.69 % (3958618)------------------------------
% 7.86/1.69 % (3958597)Instruction limit reached!
% 7.86/1.69 % (3958597)------------------------------
% 7.86/1.69 % (3958597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.69 % (3958597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.69 % (3958597)CaDiCaL version: 2.1.3
% 7.86/1.69 % (3958597)Termination reason: Instruction limit
% 7.86/1.69 % (3958597)Termination phase: Saturation
% 7.86/1.69 % (3958597)Time elapsed: 0.251 s
% 7.86/1.69 % (3958597)Peak memory usage: 14 MB
% 7.86/1.69 % (3958597)Instructions burned: 339 (million)
% 7.86/1.69 % (3958619)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.86/1.69 % (3958622)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.86/1.69 % (3958622)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.86/1.69 % (3958622)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=1214422509:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.86/1.69 % (3958619)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=3307466287:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 7.86/1.69 % (3958602)Instruction limit reached!
% 7.86/1.69 % (3958602)------------------------------
% 7.86/1.69 % (3958602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.69 % (3958602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.69 % (3958602)CaDiCaL version: 2.1.3
% 7.86/1.69 % (3958602)Termination reason: Instruction limit
% 7.86/1.69 % (3958602)Termination phase: Saturation
% 7.86/1.69 % (3958602)Time elapsed: 0.254 s
% 7.86/1.69 % (3958602)Peak memory usage: 13 MB
% 7.86/1.69 % (3958602)Instructions burned: 342 (million)
% 7.86/1.69 % (3958587)Instruction limit reached!
% 7.86/1.69 % (3958587)------------------------------
% 7.86/1.69 % (3958587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.69 % (3958587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.69 % (3958587)CaDiCaL version: 2.1.3
% 7.86/1.69 % (3958587)Termination reason: Instruction limit
% 7.86/1.69 % (3958587)Termination phase: Saturation
% 7.86/1.69 % (3958587)Time elapsed: 0.367 s
% 7.86/1.69 % (3958587)Peak memory usage: 13 MB
% 7.86/1.69 % (3958587)Instructions burned: 496 (million)
% 7.86/1.69 % (3958621)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=614455351:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.86/1.69 % (3958625)dis+10_2_sil=128000:si=on:random_seed=1558585841:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 7.86/1.69 % (3958621)Instruction limit reached!
% 7.86/1.69 % (3958621)------------------------------
% 7.86/1.69 % (3958621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.69 % (3958625)Refutation not found, incomplete strategy
% 7.86/1.69 % (3958625)------------------------------
% 7.86/1.69 % (3958625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.69 % (3958625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.69 % (3958621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.69 % (3958621)CaDiCaL version: 2.1.3
% 7.86/1.69 % (3958625)CaDiCaL version: 2.1.3
% 8.87/1.88 % (3958625)Termination reason: Refutation not found, incomplete strategy
% 8.87/1.88 % (3958625)Time elapsed: 0.001 s
% 8.87/1.88 % (3958625)Peak memory usage: 11 MB
% 8.87/1.88 % (3958621)Termination reason: Instruction limit
% 8.87/1.88 % (3958621)Termination phase: Saturation
% 8.87/1.88 % (3958621)Time elapsed: 0.028 s
% 8.87/1.88 % (3958621)Peak memory usage: 12 MB
% 8.87/1.88 % (3958621)Instructions burned: 31 (million)
% 8.87/1.88 % (3958626)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=967079383:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.87/1.88 % (3958625)------------------------------
% 8.87/1.88 % (3958625)------------------------------
% 8.87/1.88 % (3958631)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=2669994111:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.87/1.88 % (3958630)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=3579575896:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 8.87/1.88 % (3958630)Refutation not found, incomplete strategy
% 8.87/1.88 % (3958630)------------------------------
% 8.87/1.88 % (3958630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.88 % (3958630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.88 % (3958630)CaDiCaL version: 2.1.3
% 8.87/1.88 % (3958630)Termination reason: Refutation not found, incomplete strategy
% 8.87/1.88 % (3958630)Time elapsed: 0.002 s
% 8.87/1.88 % (3958630)Peak memory usage: 11 MB
% 8.87/1.88 % (3958631)Refutation not found, incomplete strategy
% 8.87/1.88 % (3958631)------------------------------
% 8.87/1.88 % (3958631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.88 % (3958631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.88 % (3958631)CaDiCaL version: 2.1.3
% 8.87/1.88 % (3958631)Termination reason: Refutation not found, incomplete strategy
% 8.87/1.88 % (3958631)Time elapsed: 0.003 s
% 8.87/1.88 % (3958631)Peak memory usage: 12 MB
% 8.87/1.88 % (3958631)Instructions burned: 2 (million)
% 8.87/1.88 % (3958630)------------------------------
% 8.87/1.88 % (3958630)------------------------------
% 8.87/1.88 % (3958631)------------------------------
% 8.87/1.88 % (3958631)------------------------------
% 8.87/1.88 % (3958608)Instruction limit reached!
% 8.87/1.88 % (3958608)------------------------------
% 8.87/1.88 % (3958608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.88 % (3958608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.88 % (3958608)CaDiCaL version: 2.1.3
% 8.87/1.88 % (3958608)Termination reason: Instruction limit
% 8.87/1.88 % (3958608)Termination phase: Saturation
% 8.87/1.88 % (3958608)Time elapsed: 0.298 s
% 8.87/1.88 % (3958608)Peak memory usage: 12 MB
% 8.87/1.88 % (3958608)Instructions burned: 373 (million)
% 8.87/1.88 % (3958634)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3506465910:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/232Mi)
% 8.87/1.88 % (3958635)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=3639584656:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/1254Mi)
% 8.87/1.88 % (3958634)Refutation not found, incomplete strategy
% 8.87/1.88 % (3958634)------------------------------
% 8.87/1.88 % (3958634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.88 % (3958634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.88 % (3958634)CaDiCaL version: 2.1.3
% 8.87/1.88 % (3958634)Termination reason: Refutation not found, incomplete strategy
% 8.87/1.88 % (3958634)Time elapsed: 0.001 s
% 8.87/1.88 % (3958634)Peak memory usage: 11 MB
% 8.87/1.88 % (3958634)------------------------------
% 8.87/1.88 % (3958634)------------------------------
% 8.87/1.88 % (3958635)Refutation not found, incomplete strategy
% 8.87/1.88 % (3958635)------------------------------
% 8.87/1.88 % (3958635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.87/1.88 % (3958635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/1.88 % (3958635)CaDiCaL version: 2.1.3
% 8.87/1.88 % (3958626)Instruction limit reached!
% 9.36/1.98 % (3958626)------------------------------
% 9.36/1.98 % (3958626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.36/1.98 % (3958626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/1.98 % (3958626)CaDiCaL version: 2.1.3
% 9.36/1.98 % (3958626)Termination reason: Instruction limit
% 9.36/1.98 % (3958626)Termination phase: Saturation
% 9.36/1.98 % (3958626)Time elapsed: 0.086 s
% 9.36/1.98 % (3958626)Peak memory usage: 12 MB
% 9.36/1.98 % (3958626)Instructions burned: 112 (million)
% 9.36/1.98 % (3958635)Termination reason: Refutation not found, incomplete strategy
% 9.36/1.98 % (3958635)Time elapsed: 0.003 s
% 9.36/1.98 % (3958635)Peak memory usage: 11 MB
% 9.36/1.98 % (3958635)Instructions burned: 3 (million)
% 9.36/1.98 % (3958635)------------------------------
% 9.36/1.98 % (3958635)------------------------------
% 9.36/1.98 % (3958636)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.36/1.98 % (3958636)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=745553835:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2987 on theBenchmark for (2987ds/281Mi)
% 9.36/1.98 % (3958641)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2060889016:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/212Mi)
% 9.36/1.98 % (3958639)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2770386389:i=619:add=on:rtra=on_2987 on theBenchmark for (2987ds/619Mi)
% 9.36/1.98 % (3958640)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=1847559962:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/865Mi)
% 9.36/1.98 % (3958619)Instruction limit reached!
% 9.36/1.98 % (3958619)------------------------------
% 9.36/1.98 % (3958619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.36/1.98 % (3958619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/1.98 % (3958619)CaDiCaL version: 2.1.3
% 9.36/1.98 % (3958619)Termination reason: Instruction limit
% 9.36/1.98 % (3958619)Termination phase: Saturation
% 9.36/1.98 % (3958619)Time elapsed: 0.169 s
% 9.36/1.98 % (3958619)Peak memory usage: 13 MB
% 9.36/1.98 % (3958619)Instructions burned: 272 (million)
% 9.36/1.98 % (3958641)Refutation not found, incomplete strategy
% 9.36/1.98 % (3958641)------------------------------
% 9.36/1.98 % (3958641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.36/1.98 % (3958641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/1.98 % (3958641)CaDiCaL version: 2.1.3
% 9.36/1.98 % (3958641)Termination reason: Refutation not found, incomplete strategy
% 9.36/1.98 % (3958641)Time elapsed: 0.002 s
% 9.36/1.98 % (3958641)Peak memory usage: 11 MB
% 9.36/1.98 % (3958641)------------------------------
% 9.36/1.98 % (3958641)------------------------------
% 9.36/1.98 % (3958639)Refutation not found, incomplete strategy
% 9.36/1.98 % (3958639)------------------------------
% 9.36/1.98 % (3958639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.36/1.98 % (3958639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/1.98 % (3958639)CaDiCaL version: 2.1.3
% 9.36/1.98 % (3958639)Termination reason: Refutation not found, incomplete strategy
% 9.36/1.98 % (3958639)Time elapsed: 0.003 s
% 9.36/1.98 % (3958639)Peak memory usage: 12 MB
% 9.36/1.98 % (3958639)Instructions burned: 3 (million)
% 9.36/1.98 % (3958639)------------------------------
% 9.36/1.98 % (3958639)------------------------------
% 9.36/1.98 % (3958646)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2285042947:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.36/1.98 % (3958646)Refutation not found, incomplete strategy
% 9.36/1.98 % (3958646)------------------------------
% 9.36/1.98 % (3958646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.36/1.98 % (3958646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.36/1.98 % (3958646)CaDiCaL version: 2.1.3
% 9.36/1.98 % (3958646)Termination reason: Refutation not found, incomplete strategy
% 9.36/1.98 % (3958646)Time elapsed: 0.001 s
% 9.36/1.98 % (3958646)Peak memory usage: 11 MB
% 9.36/1.98 % (3958647)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1851501913:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 12.63/2.24 % (3958646)------------------------------
% 12.63/2.24 % (3958646)------------------------------
% 12.63/2.24 % (3958648)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3734569808:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 12.63/2.24 % (3958647)Refutation not found, incomplete strategy
% 12.63/2.24 % (3958647)------------------------------
% 12.63/2.24 % (3958647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.63/2.24 % (3958647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/2.24 % (3958647)CaDiCaL version: 2.1.3
% 12.63/2.24 % (3958647)Termination reason: Refutation not found, incomplete strategy
% 12.63/2.24 % (3958647)Time elapsed: 0.002 s
% 12.63/2.24 % (3958647)Peak memory usage: 11 MB
% 12.63/2.24 % (3958647)Instructions burned: 1 (million)
% 12.63/2.24 % (3958647)------------------------------
% 12.63/2.24 % (3958647)------------------------------
% 12.63/2.24 % (3958652)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1562860459:i=75:ep=R:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/75Mi)
% 12.63/2.24 % (3958653)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2873754358:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/387Mi)
% 12.63/2.24 % (3958653)Refutation not found, incomplete strategy
% 12.63/2.24 % (3958653)------------------------------
% 12.63/2.24 % (3958653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.63/2.24 % (3958653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/2.24 % (3958653)CaDiCaL version: 2.1.3
% 12.63/2.24 % (3958653)Termination reason: Refutation not found, incomplete strategy
% 12.63/2.24 % (3958653)Time elapsed: 0.002 s
% 12.63/2.24 % (3958653)Peak memory usage: 11 MB
% 12.63/2.24 % (3958653)Instructions burned: 1 (million)
% 12.63/2.24 % (3958653)------------------------------
% 12.63/2.24 % (3958653)------------------------------
% 12.63/2.24 % (3958656)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=1341622330:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2986 on theBenchmark for (2986ds/148Mi)
% 12.63/2.24 % (3958652)Instruction limit reached!
% 12.63/2.24 % (3958652)------------------------------
% 12.63/2.24 % (3958652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.63/2.24 % (3958652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/2.24 % (3958652)CaDiCaL version: 2.1.3
% 12.63/2.24 % (3958652)Termination reason: Instruction limit
% 12.63/2.24 % (3958652)Termination phase: Saturation
% 12.63/2.24 % (3958652)Time elapsed: 0.056 s
% 12.63/2.24 % (3958652)Peak memory usage: 12 MB
% 12.63/2.24 % (3958652)Instructions burned: 75 (million)
% 12.63/2.24 % (3958648)Instruction limit reached!
% 12.63/2.24 % (3958648)------------------------------
% 12.63/2.24 % (3958648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.63/2.24 % (3958648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/2.24 % (3958648)CaDiCaL version: 2.1.3
% 12.63/2.24 % (3958648)Termination reason: Instruction limit
% 12.63/2.24 % (3958648)Termination phase: Saturation
% 12.63/2.24 % (3958648)Time elapsed: 0.121 s
% 12.63/2.24 % (3958648)Peak memory usage: 12 MB
% 12.63/2.24 % (3958648)Instructions burned: 153 (million)
% 12.63/2.24 % (3958658)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3425356055:i=161:piset=and:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/161Mi)
% 12.63/2.24 % (3958659)lrs+10_1_sil=128000:si=on:random_seed=1716557173:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/888Mi)
% 12.63/2.24 % (3958659)Refutation not found, incomplete strategy
% 12.63/2.24 % (3958659)------------------------------
% 12.63/2.24 % (3958659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.63/2.24 % (3958659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/2.24 % (3958659)CaDiCaL version: 2.1.3
% 12.63/2.24 % (3958659)Termination reason: Refutation not found, incomplete strategy
% 12.63/2.24 % (3958659)Time elapsed: 0.002 s
% 12.63/2.24 % (3958659)Peak memory usage: 11 MB
% 12.63/2.24 % (3958659)Instructions burned: 1 (million)
% 12.63/2.24 % (3958659)------------------------------
% 12.63/2.24 % (3958659)------------------------------
% 12.63/2.24 % (3958636)Instruction limit reached!
% 13.83/2.45 % (3958636)------------------------------
% 13.83/2.45 % (3958636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.45 % (3958636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.45 % (3958636)CaDiCaL version: 2.1.3
% 13.83/2.45 % (3958636)Termination reason: Instruction limit
% 13.83/2.45 % (3958636)Termination phase: Saturation
% 13.83/2.45 % (3958636)Time elapsed: 0.232 s
% 13.83/2.45 % (3958636)Peak memory usage: 13 MB
% 13.83/2.45 % (3958636)Instructions burned: 282 (million)
% 13.83/2.45 % (3958656)Instruction limit reached!
% 13.83/2.45 % (3958656)------------------------------
% 13.83/2.45 % (3958656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.45 % (3958656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.45 % (3958656)CaDiCaL version: 2.1.3
% 13.83/2.45 % (3958656)Termination reason: Instruction limit
% 13.83/2.45 % (3958656)Termination phase: Saturation
% 13.83/2.45 % (3958656)Time elapsed: 0.117 s
% 13.83/2.45 % (3958656)Peak memory usage: 12 MB
% 13.83/2.45 % (3958656)Instructions burned: 148 (million)
% 13.83/2.45 % (3958662)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=2189688666:i=136:add=on:ins=4:rtra=on:sup=off_2985 on theBenchmark for (2985ds/136Mi)
% 13.83/2.45 % (3958663)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=2654425703:i=88:s2at=3:nm=2:rtra=on:rawr=on_2984 on theBenchmark for (2984ds/88Mi)
% 13.83/2.45 % (3958662)Refutation not found, incomplete strategy
% 13.83/2.45 % (3958662)------------------------------
% 13.83/2.45 % (3958662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.45 % (3958662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.45 % (3958662)CaDiCaL version: 2.1.3
% 13.83/2.45 % (3958662)Termination reason: Refutation not found, incomplete strategy
% 13.83/2.45 % (3958662)Time elapsed: 0.004 s
% 13.83/2.45 % (3958662)Peak memory usage: 12 MB
% 13.83/2.45 % (3958662)Instructions burned: 2 (million)
% 13.83/2.45 % (3958662)------------------------------
% 13.83/2.45 % (3958662)------------------------------
% 13.83/2.45 % (3958658)Instruction limit reached!
% 13.83/2.45 % (3958658)------------------------------
% 13.83/2.45 % (3958658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.45 % (3958658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.45 % (3958658)CaDiCaL version: 2.1.3
% 13.83/2.45 % (3958658)Termination reason: Instruction limit
% 13.83/2.45 % (3958658)Termination phase: Saturation
% 13.83/2.45 % (3958658)Time elapsed: 0.099 s
% 13.83/2.45 % (3958658)Peak memory usage: 12 MB
% 13.83/2.45 % (3958658)Instructions burned: 163 (million)
% 13.83/2.45 % (3958622)Instruction limit reached!
% 13.83/2.45 % (3958622)------------------------------
% 13.83/2.45 % (3958622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.45 % (3958622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/2.45 % (3958622)CaDiCaL version: 2.1.3
% 13.83/2.45 % (3958622)Termination reason: Instruction limit
% 13.83/2.45 % (3958622)Termination phase: Saturation
% 13.83/2.45 % (3958622)Time elapsed: 0.447 s
% 13.83/2.45 % (3958622)Peak memory usage: 13 MB
% 13.83/2.45 % (3958622)Instructions burned: 1443 (million)
% 13.83/2.45 % (3958664)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2539202060:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2984 on theBenchmark for (2984ds/93Mi)
% 13.83/2.45 % (3958667)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1882452231:i=2186:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/2186Mi)
% 13.83/2.45 % (3958669)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1020831900:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/805Mi)
% 13.83/2.45 % (3958668)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=490913831:s2a=on:i=240:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/240Mi)
% 13.83/2.45 % (3958663)Instruction limit reached!
% 13.83/2.45 % (3958663)------------------------------
% 13.83/2.45 % (3958663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/2.45 % (3958663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.63 % (3958663)CaDiCaL version: 2.1.3
% 14.98/2.63 % (3958663)Termination reason: Instruction limit
% 14.98/2.63 % (3958663)Termination phase: Saturation
% 14.98/2.63 % (3958663)Time elapsed: 0.065 s
% 14.98/2.63 % (3958663)Peak memory usage: 13 MB
% 14.98/2.63 % (3958663)Instructions burned: 88 (million)
% 14.98/2.63 % (3958674)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 14.98/2.63 % (3958664)Instruction limit reached!
% 14.98/2.63 % (3958664)------------------------------
% 14.98/2.63 % (3958664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.63 % (3958664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.63 % (3958664)CaDiCaL version: 2.1.3
% 14.98/2.63 % (3958664)Termination reason: Instruction limit
% 14.98/2.63 % (3958664)Termination phase: Saturation
% 14.98/2.63 % (3958664)Time elapsed: 0.081 s
% 14.98/2.63 % (3958664)Peak memory usage: 12 MB
% 14.98/2.63 % (3958664)Instructions burned: 94 (million)
% 14.98/2.63 % (3958674)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=3562628685:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2983 on theBenchmark for (2983ds/391Mi)
% 14.98/2.63 % (3958674)Refutation not found, incomplete strategy
% 14.98/2.63 % (3958674)------------------------------
% 14.98/2.63 % (3958674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.63 % (3958674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.63 % (3958674)CaDiCaL version: 2.1.3
% 14.98/2.63 % (3958674)Termination reason: Refutation not found, incomplete strategy
% 14.98/2.63 % (3958674)Time elapsed: 0.002 s
% 14.98/2.63 % (3958674)Peak memory usage: 11 MB
% 14.98/2.63 % (3958674)Instructions burned: 1 (million)
% 14.98/2.63 % (3958674)------------------------------
% 14.98/2.63 % (3958674)------------------------------
% 14.98/2.63 % (3958675)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1316753899:i=355:av=off:fsr=off:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/355Mi)
% 14.98/2.63 % (3958677)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3416590918:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/314Mi)
% 14.98/2.63 % (3958677)Refutation not found, incomplete strategy
% 14.98/2.63 % (3958677)------------------------------
% 14.98/2.63 % (3958677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.63 % (3958677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.63 % (3958677)CaDiCaL version: 2.1.3
% 14.98/2.63 % (3958677)Termination reason: Refutation not found, incomplete strategy
% 14.98/2.63 % (3958677)Time elapsed: 0.001 s
% 14.98/2.63 % (3958677)Peak memory usage: 12 MB
% 14.98/2.63 % (3958677)------------------------------
% 14.98/2.63 % (3958677)------------------------------
% 14.98/2.63 % (3958680)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=353285936:s2a=on:i=251:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/251Mi)
% 14.98/2.63 % (3958668)Instruction limit reached!
% 14.98/2.63 % (3958668)------------------------------
% 14.98/2.63 % (3958668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.63 % (3958668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.63 % (3958668)CaDiCaL version: 2.1.3
% 14.98/2.63 % (3958668)Termination reason: Instruction limit
% 14.98/2.63 % (3958668)Termination phase: Saturation
% 14.98/2.63 % (3958668)Time elapsed: 0.153 s
% 14.98/2.63 % (3958668)Peak memory usage: 13 MB
% 14.98/2.63 % (3958668)Instructions burned: 241 (million)
% 14.98/2.63 % (3958682)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=2246098671: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_2982 on theBenchmark for (2982ds/2470Mi)
% 14.98/2.63 % (3958669)Instruction limit reached!
% 14.98/2.63 % (3958669)------------------------------
% 14.98/2.63 % (3958669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.63 % (3958669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.63 % (3958669)CaDiCaL version: 2.1.3
% 14.98/2.63 % (3958669)Termination reason: Instruction limit
% 14.98/2.63 % (3958669)Termination phase: Saturation
% 16.07/2.80 % (3958669)Time elapsed: 0.286 s
% 16.07/2.80 % (3958669)Peak memory usage: 14 MB
% 16.07/2.80 % (3958669)Instructions burned: 807 (million)
% 16.07/2.80 % (3958684)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3186461588:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2981 on theBenchmark for (2981ds/673Mi)
% 16.07/2.80 % (3958680)Instruction limit reached!
% 16.07/2.80 % (3958680)------------------------------
% 16.07/2.80 % (3958680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.80 % (3958680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.80 % (3958680)CaDiCaL version: 2.1.3
% 16.07/2.80 % (3958680)Termination reason: Instruction limit
% 16.07/2.80 % (3958680)Termination phase: Saturation
% 16.07/2.80 % (3958680)Time elapsed: 0.205 s
% 16.07/2.80 % (3958680)Peak memory usage: 12 MB
% 16.07/2.80 % (3958680)Instructions burned: 251 (million)
% 16.07/2.80 % (3958675)Instruction limit reached!
% 16.07/2.80 % (3958675)------------------------------
% 16.07/2.80 % (3958675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.80 % (3958675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.80 % (3958675)CaDiCaL version: 2.1.3
% 16.07/2.80 % (3958675)Termination reason: Instruction limit
% 16.07/2.80 % (3958675)Termination phase: Saturation
% 16.07/2.80 % (3958675)Time elapsed: 0.258 s
% 16.07/2.80 % (3958675)Peak memory usage: 12 MB
% 16.07/2.80 % (3958675)Instructions burned: 355 (million)
% 16.07/2.80 % (3958640)Instruction limit reached!
% 16.07/2.80 % (3958640)------------------------------
% 16.07/2.80 % (3958640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.80 % (3958640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.80 % (3958640)CaDiCaL version: 2.1.3
% 16.07/2.80 % (3958640)Termination reason: Instruction limit
% 16.07/2.80 % (3958640)Termination phase: Saturation
% 16.07/2.80 % (3958640)Time elapsed: 0.657 s
% 16.07/2.80 % (3958640)Peak memory usage: 14 MB
% 16.07/2.80 % (3958640)Instructions burned: 866 (million)
% 16.07/2.80 % (3958686)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2435081411:i=116:ep=RSTC:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/116Mi)
% 16.07/2.80 % (3958687)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1476122902:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2980 on theBenchmark for (2980ds/270Mi)
% 16.07/2.80 % (3958688)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=62538558:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2980 on theBenchmark for (2980ds/30Mi)
% 16.07/2.80 % (3958688)Instruction limit reached!
% 16.07/2.80 % (3958688)------------------------------
% 16.07/2.80 % (3958688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.80 % (3958688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.80 % (3958688)CaDiCaL version: 2.1.3
% 16.07/2.80 % (3958688)Termination reason: Instruction limit
% 16.07/2.80 % (3958688)Termination phase: Saturation
% 16.07/2.80 % (3958688)Time elapsed: 0.026 s
% 16.07/2.80 % (3958688)Peak memory usage: 12 MB
% 16.07/2.80 % (3958688)Instructions burned: 30 (million)
% 16.07/2.80 % (3958692)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 16.07/2.80 % (3958692)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=715005238:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 16.07/2.80 % (3958686)Instruction limit reached!
% 16.07/2.80 % (3958686)------------------------------
% 16.07/2.80 % (3958686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.80 % (3958686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.80 % (3958686)CaDiCaL version: 2.1.3
% 16.07/2.80 % (3958686)Termination reason: Instruction limit
% 16.07/2.80 % (3958686)Termination phase: Saturation
% 16.07/2.80 % (3958686)Time elapsed: 0.082 s
% 16.07/2.80 % (3958686)Peak memory usage: 12 MB
% 16.07/2.80 % (3958686)Instructions burned: 116 (million)
% 16.07/2.80 % (3958692)Instruction limit reached!
% 16.07/2.80 % (3958692)------------------------------
% 16.07/2.80 % (3958692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.60/3.01 % (3958692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/3.01 % (3958692)CaDiCaL version: 2.1.3
% 16.60/3.01 % (3958692)Termination reason: Instruction limit
% 16.60/3.01 % (3958692)Termination phase: Saturation
% 16.60/3.01 % (3958692)Time elapsed: 0.032 s
% 16.60/3.01 % (3958692)Peak memory usage: 12 MB
% 16.60/3.01 % (3958692)Instructions burned: 39 (million)
% 16.60/3.01 % (3958695)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2412972657:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 16.60/3.01 % (3958696)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4161645406:i=158:av=off:rtra=on_2979 on theBenchmark for (2979ds/158Mi)
% 16.60/3.01 % (3958684)Instruction limit reached!
% 16.60/3.01 % (3958684)------------------------------
% 16.60/3.01 % (3958684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.60/3.01 % (3958684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/3.01 % (3958684)CaDiCaL version: 2.1.3
% 16.60/3.01 % (3958684)Termination reason: Instruction limit
% 16.60/3.01 % (3958684)Termination phase: Saturation
% 16.60/3.01 % (3958684)Time elapsed: 0.220 s
% 16.60/3.01 % (3958684)Peak memory usage: 12 MB
% 16.60/3.01 % (3958684)Instructions burned: 673 (million)
% 16.60/3.01 % (3958699)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
% 16.60/3.01 % (3958699)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=1735092589:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 16.60/3.01 % (3958687)Instruction limit reached!
% 16.60/3.01 % (3958687)------------------------------
% 16.60/3.01 % (3958687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.60/3.01 % (3958687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/3.01 % (3958687)CaDiCaL version: 2.1.3
% 16.60/3.01 % (3958687)Termination reason: Instruction limit
% 16.60/3.01 % (3958687)Termination phase: Saturation
% 16.60/3.01 % (3958687)Time elapsed: 0.197 s
% 16.60/3.01 % (3958687)Peak memory usage: 12 MB
% 16.60/3.01 % (3958687)Instructions burned: 270 (million)
% 16.60/3.01 % (3958701)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3319444111:i=213:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/213Mi)
% 16.60/3.01 % (3958701)Refutation not found, incomplete strategy
% 16.60/3.01 % (3958701)------------------------------
% 16.60/3.01 % (3958701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.60/3.01 % (3958701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/3.01 % (3958701)CaDiCaL version: 2.1.3
% 16.60/3.01 % (3958701)Termination reason: Refutation not found, incomplete strategy
% 16.60/3.01 % (3958701)Time elapsed: 0.001 s
% 16.60/3.01 % (3958701)Peak memory usage: 11 MB
% 16.60/3.01 % (3958701)------------------------------
% 16.60/3.01 % (3958701)------------------------------
% 16.60/3.01 % (3958699)Instruction limit reached!
% 16.60/3.01 % (3958699)------------------------------
% 16.60/3.01 % (3958699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.60/3.01 % (3958699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/3.01 % (3958699)CaDiCaL version: 2.1.3
% 16.60/3.01 % (3958699)Termination reason: Instruction limit
% 16.60/3.01 % (3958699)Termination phase: Saturation
% 16.60/3.01 % (3958699)Time elapsed: 0.084 s
% 16.60/3.01 % (3958699)Peak memory usage: 13 MB
% 16.60/3.01 % (3958699)Instructions burned: 256 (million)
% 16.60/3.01 % (3958696)Instruction limit reached!
% 16.60/3.01 % (3958696)------------------------------
% 16.60/3.01 % (3958696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.60/3.01 % (3958696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.60/3.01 % (3958696)CaDiCaL version: 2.1.3
% 16.60/3.01 % (3958696)Termination reason: Instruction limit
% 16.60/3.01 % (3958696)Termination phase: Saturation
% 16.60/3.01 % (3958696)Time elapsed: 0.120 s
% 16.60/3.01 % (3958696)Peak memory usage: 12 MB
% 16.60/3.01 % (3958696)Instructions burned: 158 (million)
% 16.60/3.01 % (3958704)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2013057444:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/763Mi)
% 19.05/3.16 % (3958703)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=3860992825:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/160Mi)
% 19.05/3.16 % (3958703)Refutation not found, incomplete strategy
% 19.05/3.16 % (3958703)------------------------------
% 19.05/3.16 % (3958703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.05/3.16 % (3958703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.16 % (3958703)CaDiCaL version: 2.1.3
% 19.05/3.16 % (3958703)Termination reason: Refutation not found, incomplete strategy
% 19.05/3.16 % (3958703)Time elapsed: 0.001 s
% 19.05/3.16 % (3958703)Peak memory usage: 11 MB
% 19.05/3.16 % (3958703)Instructions burned: 1 (million)
% 19.05/3.16 % (3958703)------------------------------
% 19.05/3.16 % (3958703)------------------------------
% 19.05/3.16 % (3958705)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 19.05/3.16 % (3958705)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=3896825462:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2977 on theBenchmark for (2977ds/237Mi)
% 19.05/3.16 % (3958705)Refutation not found, incomplete strategy
% 19.05/3.16 % (3958705)------------------------------
% 19.05/3.16 % (3958705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.05/3.16 % (3958705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.16 % (3958705)CaDiCaL version: 2.1.3
% 19.05/3.16 % (3958705)Termination reason: Refutation not found, incomplete strategy
% 19.05/3.16 % (3958705)Time elapsed: 0.001 s
% 19.05/3.16 % (3958705)Peak memory usage: 11 MB
% 19.05/3.16 % (3958705)------------------------------
% 19.05/3.16 % (3958705)------------------------------
% 19.05/3.16 % (3958708)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=919659638:s2a=on:i=386:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/386Mi)
% 19.05/3.16 % (3958710)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2034782359:i=300:piset=and:nm=32:rtra=on_2977 on theBenchmark for (2977ds/300Mi)
% 19.05/3.16 % (3958695)Instruction limit reached!
% 19.05/3.16 % (3958695)------------------------------
% 19.05/3.16 % (3958695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.05/3.16 % (3958695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.16 % (3958695)CaDiCaL version: 2.1.3
% 19.05/3.16 % (3958695)Termination reason: Instruction limit
% 19.05/3.16 % (3958695)Termination phase: Saturation
% 19.05/3.16 % (3958695)Time elapsed: 0.232 s
% 19.05/3.16 % (3958695)Peak memory usage: 13 MB
% 19.05/3.16 % (3958695)Instructions burned: 366 (million)
% 19.05/3.16 % (3958713)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3987731507:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 19.05/3.16 % (3958713)Refutation not found, incomplete strategy
% 19.05/3.16 % (3958713)------------------------------
% 19.05/3.16 % (3958713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.05/3.16 % (3958713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.16 % (3958713)CaDiCaL version: 2.1.3
% 19.05/3.16 % (3958713)Termination reason: Refutation not found, incomplete strategy
% 19.05/3.16 % (3958713)Time elapsed: 0.002 s
% 19.05/3.16 % (3958713)Peak memory usage: 11 MB
% 19.05/3.16 % (3958713)Instructions burned: 1 (million)
% 19.05/3.16 % (3958713)------------------------------
% 19.05/3.16 % (3958713)------------------------------
% 19.05/3.16 % (3958715)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1745940752:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 19.05/3.16 % (3958715)Refutation not found, incomplete strategy
% 19.05/3.16 % (3958715)------------------------------
% 19.05/3.16 % (3958715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.05/3.16 % (3958715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.16 % (3958715)CaDiCaL version: 2.1.3
% 19.05/3.16 % (3958715)Termination reason: Refutation not found, incomplete strategy
% 19.05/3.16 % (3958715)Time elapsed: 0.001 s
% 19.98/3.30 % (3958715)Peak memory usage: 11 MB
% 19.98/3.30 % (3958715)Instructions burned: 1 (million)
% 19.98/3.30 % (3958715)------------------------------
% 19.98/3.30 % (3958715)------------------------------
% 19.98/3.30 % (3958704)Instruction limit reached!
% 19.98/3.30 % (3958704)------------------------------
% 19.98/3.30 % (3958704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.30 % (3958704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.30 % (3958704)CaDiCaL version: 2.1.3
% 19.98/3.30 % (3958704)Termination reason: Instruction limit
% 19.98/3.30 % (3958704)Termination phase: Saturation
% 19.98/3.30 % (3958704)Time elapsed: 0.219 s
% 19.98/3.30 % (3958704)Peak memory usage: 13 MB
% 19.98/3.30 % (3958704)Instructions burned: 766 (million)
% 19.98/3.30 % (3958717)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=252139437:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2975 on theBenchmark for (2975ds/429Mi)
% 19.98/3.30 % (3958719)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=53485635:i=478:bd=all:rtra=on_2975 on theBenchmark for (2975ds/478Mi)
% 19.98/3.30 % (3958719)Refutation not found, incomplete strategy
% 19.98/3.30 % (3958719)------------------------------
% 19.98/3.30 % (3958719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.30 % (3958719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.30 % (3958719)CaDiCaL version: 2.1.3
% 19.98/3.30 % (3958719)Termination reason: Refutation not found, incomplete strategy
% 19.98/3.30 % (3958719)Time elapsed: 0.001 s
% 19.98/3.30 % (3958719)Peak memory usage: 12 MB
% 19.98/3.30 % (3958719)Instructions burned: 2 (million)
% 19.98/3.30 % (3958719)------------------------------
% 19.98/3.30 % (3958719)------------------------------
% 19.98/3.30 % (3958710)Instruction limit reached!
% 19.98/3.30 % (3958710)------------------------------
% 19.98/3.30 % (3958710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.30 % (3958710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.30 % (3958710)CaDiCaL version: 2.1.3
% 19.98/3.30 % (3958710)Termination reason: Instruction limit
% 19.98/3.30 % (3958710)Termination phase: Saturation
% 19.98/3.30 % (3958710)Time elapsed: 0.213 s
% 19.98/3.30 % (3958710)Peak memory usage: 12 MB
% 19.98/3.30 % (3958710)Instructions burned: 300 (million)
% 19.98/3.30 % (3958721)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2549489269:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2974 on theBenchmark for (2974ds/445Mi)
% 19.98/3.30 % (3958708)Instruction limit reached!
% 19.98/3.30 % (3958708)------------------------------
% 19.98/3.30 % (3958708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.30 % (3958708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.30 % (3958708)CaDiCaL version: 2.1.3
% 19.98/3.30 % (3958708)Termination reason: Instruction limit
% 19.98/3.30 % (3958708)Termination phase: Saturation
% 19.98/3.30 % (3958708)Time elapsed: 0.279 s
% 19.98/3.30 % (3958708)Peak memory usage: 12 MB
% 19.98/3.30 % (3958708)Instructions burned: 386 (million)
% 19.98/3.30 % (3958722)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3849058487:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/71Mi)
% 19.98/3.30 % (3958725)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1291608114:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/302Mi)
% 19.98/3.30 % (3958725)Refutation not found, incomplete strategy
% 19.98/3.30 % (3958725)------------------------------
% 19.98/3.30 % (3958725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.30 % (3958725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.30 % (3958725)CaDiCaL version: 2.1.3
% 19.98/3.30 % (3958725)Termination reason: Refutation not found, incomplete strategy
% 19.98/3.30 % (3958725)Time elapsed: 0.002 s
% 19.98/3.30 % (3958725)Peak memory usage: 11 MB
% 19.98/3.30 % (3958725)------------------------------
% 19.98/3.30 % (3958725)------------------------------
% 19.98/3.30 % (3958722)Instruction limit reached!
% 19.98/3.30 % (3958722)------------------------------
% 19.98/3.30 % (3958722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.98/3.30 % (3958722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.30 % (3958722)CaDiCaL version: 2.1.3
% 20.97/3.56 % (3958722)Termination reason: Instruction limit
% 20.97/3.56 % (3958722)Termination phase: Saturation
% 20.97/3.56 % (3958722)Time elapsed: 0.059 s
% 20.97/3.56 % (3958722)Peak memory usage: 12 MB
% 20.97/3.56 % (3958722)Instructions burned: 71 (million)
% 20.97/3.56 % (3958728)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 20.97/3.56 % (3958727)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3672593879:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/4980Mi)
% 20.97/3.56 % (3958728)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.97/3.56 % (3958727)Refutation not found, incomplete strategy
% 20.97/3.56 % (3958727)------------------------------
% 20.97/3.56 % (3958727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.56 % (3958727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.56 % (3958727)CaDiCaL version: 2.1.3
% 20.97/3.56 % (3958727)Termination reason: Refutation not found, incomplete strategy
% 20.97/3.56 % (3958727)Time elapsed: 0.002 s
% 20.97/3.56 % (3958727)Peak memory usage: 12 MB
% 20.97/3.56 % (3958727)------------------------------
% 20.97/3.56 % (3958727)------------------------------
% 20.97/3.56 % (3958728)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=818415017:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2973 on theBenchmark for (2973ds/100Mi)
% 20.97/3.56 % (3958730)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=250483497:i=76:piset=equals:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/76Mi)
% 20.97/3.56 % (3958721)Instruction limit reached!
% 20.97/3.56 % (3958721)------------------------------
% 20.97/3.56 % (3958721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.56 % (3958721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.56 % (3958721)CaDiCaL version: 2.1.3
% 20.97/3.56 % (3958721)Termination reason: Instruction limit
% 20.97/3.56 % (3958721)Termination phase: Saturation
% 20.97/3.56 % (3958721)Time elapsed: 0.185 s
% 20.97/3.56 % (3958721)Peak memory usage: 14 MB
% 20.97/3.56 % (3958721)Instructions burned: 447 (million)
% 20.97/3.56 % (3958728)Instruction limit reached!
% 20.97/3.56 % (3958728)------------------------------
% 20.97/3.56 % (3958728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.56 % (3958728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.56 % (3958728)CaDiCaL version: 2.1.3
% 20.97/3.56 % (3958728)Termination reason: Instruction limit
% 20.97/3.56 % (3958728)Termination phase: Saturation
% 20.97/3.56 % (3958728)Time elapsed: 0.073 s
% 20.97/3.56 % (3958728)Peak memory usage: 12 MB
% 20.97/3.56 % (3958728)Instructions burned: 100 (million)
% 20.97/3.56 % (3958733)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1902145735:i=289:rtra=on_2972 on theBenchmark for (2972ds/289Mi)
% 20.97/3.56 % (3958733)Refutation not found, incomplete strategy
% 20.97/3.56 % (3958733)------------------------------
% 20.97/3.56 % (3958733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.56 % (3958733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.97/3.56 % (3958733)CaDiCaL version: 2.1.3
% 20.97/3.56 % (3958733)Termination reason: Refutation not found, incomplete strategy
% 20.97/3.56 % (3958733)Time elapsed: 0.003 s
% 20.97/3.56 % (3958733)Peak memory usage: 12 MB
% 20.97/3.56 % (3958733)Instructions burned: 2 (million)
% 20.97/3.56 % (3958733)------------------------------
% 20.97/3.56 % (3958733)------------------------------
% 20.97/3.56 % (3958734)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=144634005:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2972 on theBenchmark for (2972ds/493Mi)
% 20.97/3.56 % (3958730)Instruction limit reached!
% 20.97/3.56 % (3958730)------------------------------
% 20.97/3.56 % (3958730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.97/3.56 % (3958730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/3.66 % (3958730)CaDiCaL version: 2.1.3
% 21.64/3.66 % (3958730)Termination reason: Instruction limit
% 21.64/3.66 % (3958730)Termination phase: Saturation
% 21.64/3.66 % (3958730)Time elapsed: 0.065 s
% 21.64/3.66 % (3958730)Peak memory usage: 12 MB
% 21.64/3.66 % (3958730)Instructions burned: 76 (million)
% 21.64/3.66 % (3958717)Instruction limit reached!
% 21.64/3.66 % (3958717)------------------------------
% 21.64/3.66 % (3958717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.64/3.66 % (3958717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/3.66 % (3958717)CaDiCaL version: 2.1.3
% 21.64/3.66 % (3958717)Termination reason: Instruction limit
% 21.64/3.66 % (3958717)Termination phase: Saturation
% 21.64/3.66 % (3958717)Time elapsed: 0.323 s
% 21.64/3.66 % (3958717)Peak memory usage: 12 MB
% 21.64/3.66 % (3958717)Instructions burned: 430 (million)
% 21.64/3.66 % (3958738)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 21.64/3.66 % (3958736)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=3326150739:cond=on:i=34:hud=10:nm=10:rtra=on_2972 on theBenchmark for (2972ds/34Mi)
% 21.64/3.66 % (3958738)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=2537970247:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2972 on theBenchmark for (2972ds/372Mi)
% 21.64/3.66 % (3958738)Refutation not found, incomplete strategy
% 21.64/3.66 % (3958738)------------------------------
% 21.64/3.66 % (3958738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.64/3.66 % (3958738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/3.66 % (3958738)CaDiCaL version: 2.1.3
% 21.64/3.66 % (3958738)Termination reason: Refutation not found, incomplete strategy
% 21.64/3.66 % (3958738)Time elapsed: 0.003 s
% 21.64/3.66 % (3958738)Peak memory usage: 11 MB
% 21.64/3.66 % (3958738)Instructions burned: 3 (million)
% 21.64/3.66 % (3958738)------------------------------
% 21.64/3.66 % (3958738)------------------------------
% 21.64/3.66 % (3958739)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3464681543:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2971 on theBenchmark for (2971ds/670Mi)
% 21.64/3.66 % (3958736)Instruction limit reached!
% 21.64/3.66 % (3958736)------------------------------
% 21.64/3.66 % (3958736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.64/3.66 % (3958736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/3.66 % (3958736)CaDiCaL version: 2.1.3
% 21.64/3.66 % (3958736)Termination reason: Instruction limit
% 21.64/3.66 % (3958736)Termination phase: Saturation
% 21.64/3.66 % (3958736)Time elapsed: 0.035 s
% 21.64/3.66 % (3958736)Peak memory usage: 12 MB
% 21.64/3.66 % (3958736)Instructions burned: 34 (million)
% 21.64/3.66 % (3958742)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3212129242:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2971 on theBenchmark for (2971ds/647Mi)
% 21.64/3.66 % (3958742)Refutation not found, incomplete strategy
% 21.64/3.66 % (3958742)------------------------------
% 21.64/3.66 % (3958742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.64/3.66 % (3958742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/3.66 % (3958742)CaDiCaL version: 2.1.3
% 21.64/3.66 % (3958742)Termination reason: Refutation not found, incomplete strategy
% 21.64/3.66 % (3958742)Time elapsed: 0.002 s
% 21.64/3.66 % (3958742)Peak memory usage: 11 MB
% 21.64/3.66 % (3958742)------------------------------
% 21.64/3.66 % (3958742)------------------------------
% 21.64/3.66 % (3958744)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=6590416:i=857:add=off:kws=frequency:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/857Mi)
% 21.64/3.66 % (3958746)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=1782149025:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/693Mi)
% 21.64/3.66 % (3958667)Instruction limit reached!
% 21.64/3.66 % (3958667)------------------------------
% 21.64/3.66 % (3958667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.68/3.81 % (3958667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.68/3.81 % (3958667)CaDiCaL version: 2.1.3
% 23.68/3.81 % (3958667)Termination reason: Instruction limit
% 23.68/3.81 % (3958667)Termination phase: Saturation
% 23.68/3.81 % (3958667)Time elapsed: 1.346 s
% 23.68/3.81 % (3958667)Peak memory usage: 13 MB
% 23.68/3.81 % (3958667)Instructions burned: 2187 (million)
% 23.68/3.81 % (3958749)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3189344906:i=285:hud=10:bd=all:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/285Mi)
% 23.68/3.81 % (3958749)Refutation not found, incomplete strategy
% 23.68/3.81 % (3958749)------------------------------
% 23.68/3.81 % (3958749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.68/3.81 % (3958749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.68/3.81 % (3958749)CaDiCaL version: 2.1.3
% 23.68/3.81 % (3958749)Termination reason: Refutation not found, incomplete strategy
% 23.68/3.81 % (3958749)Time elapsed: 0.002 s
% 23.68/3.81 % (3958749)Peak memory usage: 11 MB
% 23.68/3.81 % (3958749)Instructions burned: 1 (million)
% 23.68/3.81 % (3958749)------------------------------
% 23.68/3.81 % (3958749)------------------------------
% 23.68/3.81 % (3958751)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.68/3.81 % (3958751)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=789611127:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2970 on theBenchmark for (2970ds/52Mi)
% 23.68/3.81 % (3958751)Instruction limit reached!
% 23.68/3.81 % (3958751)------------------------------
% 23.68/3.81 % (3958751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.68/3.81 % (3958751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.68/3.81 % (3958751)CaDiCaL version: 2.1.3
% 23.68/3.81 % (3958751)Termination reason: Instruction limit
% 23.68/3.81 % (3958751)Termination phase: Saturation
% 23.68/3.81 % (3958751)Time elapsed: 0.036 s
% 23.68/3.81 % (3958751)Peak memory usage: 12 MB
% 23.68/3.81 % (3958751)Instructions burned: 53 (million)
% 23.68/3.81 % (3958753)dis+10_1_si=on:random_seed=346643572:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2969 on theBenchmark for (2969ds/407Mi)
% 23.68/3.81 % (3958753)Refutation not found, incomplete strategy
% 23.68/3.81 % (3958753)------------------------------
% 23.68/3.81 % (3958753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.68/3.81 % (3958753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.68/3.81 % (3958753)CaDiCaL version: 2.1.3
% 23.68/3.81 % (3958753)Termination reason: Refutation not found, incomplete strategy
% 23.68/3.81 % (3958753)Time elapsed: 0.001 s
% 23.68/3.81 % (3958753)Peak memory usage: 11 MB
% 23.68/3.81 % (3958753)Instructions burned: 1 (million)
% 23.68/3.81 % (3958753)------------------------------
% 23.68/3.81 % (3958753)------------------------------
% 23.68/3.81 % (3958734)Instruction limit reached!
% 23.68/3.81 % (3958734)------------------------------
% 23.68/3.81 % (3958734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.68/3.81 % (3958734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.68/3.81 % (3958734)CaDiCaL version: 2.1.3
% 23.68/3.81 % (3958734)Termination reason: Instruction limit
% 23.68/3.81 % (3958734)Termination phase: Saturation
% 23.68/3.81 % (3958734)Time elapsed: 0.358 s
% 23.68/3.81 % (3958734)Peak memory usage: 13 MB
% 23.68/3.81 % (3958734)Instructions burned: 494 (million)
% 23.68/3.81 % (3958755)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=1121889544:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/2240Mi)
% 23.68/3.81 % (3958756)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=155820905:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/336Mi)
% 23.68/3.81 % (3958756)Refutation not found, incomplete strategy
% 23.68/3.81 % (3958756)------------------------------
% 23.68/3.81 % (3958756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.68/3.81 % (3958756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.68/3.81 % (3958756)CaDiCaL version: 2.1.3
% 23.68/3.81 % (3958756)Termination reason: Refutation not found, incomplete strategy
% 23.68/3.81 % (3958756)Time elapsed: 0.001 s
% 26.86/4.17 % (3958756)Peak memory usage: 11 MB
% 26.86/4.17 % (3958756)------------------------------
% 26.86/4.17 % (3958756)------------------------------
% 26.86/4.17 % (3958759)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=4056052827:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2968 on theBenchmark for (2968ds/1142Mi)
% 26.86/4.17 % (3958744)Instruction limit reached!
% 26.86/4.17 % (3958744)------------------------------
% 26.86/4.17 % (3958744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.86/4.17 % (3958744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.86/4.17 % (3958744)CaDiCaL version: 2.1.3
% 26.86/4.17 % (3958744)Termination reason: Instruction limit
% 26.86/4.17 % (3958744)Termination phase: Saturation
% 26.86/4.17 % (3958744)Time elapsed: 0.342 s
% 26.86/4.17 % (3958744)Peak memory usage: 12 MB
% 26.86/4.17 % (3958744)Instructions burned: 859 (million)
% 26.86/4.17 % (3958759)Refutation not found, incomplete strategy
% 26.86/4.17 % (3958759)------------------------------
% 26.86/4.17 % (3958759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.86/4.17 % (3958759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.86/4.17 % (3958759)CaDiCaL version: 2.1.3
% 26.86/4.17 % (3958759)Termination reason: Refutation not found, incomplete strategy
% 26.86/4.17 % (3958759)Time elapsed: 0.009 s
% 26.86/4.17 % (3958759)Peak memory usage: 12 MB
% 26.86/4.17 % (3958759)Instructions burned: 8 (million)
% 26.86/4.17 % (3958759)------------------------------
% 26.86/4.17 % (3958759)------------------------------
% 26.86/4.17 % (3958761)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=598915483:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/376Mi)
% 26.86/4.17 % (3958761)Refutation not found, incomplete strategy
% 26.86/4.17 % (3958761)------------------------------
% 26.86/4.17 % (3958761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.86/4.17 % (3958761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.86/4.17 % (3958761)CaDiCaL version: 2.1.3
% 26.86/4.17 % (3958761)Termination reason: Refutation not found, incomplete strategy
% 26.86/4.17 % (3958761)Time elapsed: 0.001 s
% 26.86/4.17 % (3958761)Peak memory usage: 11 MB
% 26.86/4.17 % (3958761)Instructions burned: 1 (million)
% 26.86/4.17 % (3958761)------------------------------
% 26.86/4.17 % (3958761)------------------------------
% 26.86/4.17 % (3958764)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 26.86/4.17 % (3958764)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2579156285: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_2967 on theBenchmark for (2967ds/959Mi)
% 26.86/4.17 % (3958762)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1372904879:i=766:bd=all:rtra=on_2967 on theBenchmark for (2967ds/766Mi)
% 26.86/4.17 % (3958764)Refutation not found, incomplete strategy
% 26.86/4.17 % (3958764)------------------------------
% 26.86/4.17 % (3958764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.86/4.17 % (3958764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.86/4.17 % (3958764)CaDiCaL version: 2.1.3
% 26.86/4.17 % (3958764)Termination reason: Refutation not found, incomplete strategy
% 26.86/4.17 % (3958764)Time elapsed: 0.001 s
% 26.86/4.17 % (3958764)Peak memory usage: 11 MB
% 26.86/4.17 % (3958764)------------------------------
% 26.86/4.17 % (3958764)------------------------------
% 26.86/4.17 % (3958762)Refutation not found, incomplete strategy
% 26.86/4.17 % (3958762)------------------------------
% 26.86/4.17 % (3958762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.86/4.17 % (3958762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.86/4.17 % (3958762)CaDiCaL version: 2.1.3
% 26.86/4.17 % (3958762)Termination reason: Refutation not found, incomplete strategy
% 26.86/4.17 % (3958762)Time elapsed: 0.003 s
% 26.86/4.17 % (3958762)Peak memory usage: 12 MB
% 26.86/4.17 % (3958762)Instructions burned: 2 (million)
% 26.86/4.17 % (3958762)------------------------------
% 26.86/4.17 % (3958762)------------------------------
% 26.86/4.17 % (3958739)Instruction limit reached!
% 26.86/4.17 % (3958739)------------------------------
% 26.86/4.17 % (3958739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.27 % (3958739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.27 % (3958739)CaDiCaL version: 2.1.3
% 27.00/4.27 % (3958739)Termination reason: Instruction limit
% 27.00/4.27 % (3958739)Termination phase: Saturation
% 27.00/4.27 % (3958739)Time elapsed: 0.444 s
% 27.00/4.27 % (3958739)Peak memory usage: 12 MB
% 27.00/4.27 % (3958739)Instructions burned: 670 (million)
% 27.00/4.27 % (3958767)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=2465269307:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2967 on theBenchmark for (2967ds/6359Mi)
% 27.00/4.27 % (3958768)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2696233692:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2967 on theBenchmark for (2967ds/35Mi)
% 27.00/4.27 % (3958768)Refutation not found, incomplete strategy
% 27.00/4.27 % (3958768)------------------------------
% 27.00/4.27 % (3958768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.27 % (3958768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.27 % (3958768)CaDiCaL version: 2.1.3
% 27.00/4.27 % (3958768)Termination reason: Refutation not found, incomplete strategy
% 27.00/4.27 % (3958768)Time elapsed: 0.001 s
% 27.00/4.27 % (3958768)Peak memory usage: 11 MB
% 27.00/4.27 % (3958768)------------------------------
% 27.00/4.27 % (3958768)------------------------------
% 27.00/4.27 % (3958769)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3209122861:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2967 on theBenchmark for (2967ds/53Mi)
% 27.00/4.27 % (3958772)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2200346711:s2a=on:i=876:s2at=6:nm=2:rtra=on_2966 on theBenchmark for (2966ds/876Mi)
% 27.00/4.27 % (3958746)Instruction limit reached!
% 27.00/4.27 % (3958746)------------------------------
% 27.00/4.27 % (3958746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.27 % (3958746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.27 % (3958746)CaDiCaL version: 2.1.3
% 27.00/4.27 % (3958746)Termination reason: Instruction limit
% 27.00/4.27 % (3958746)Termination phase: Saturation
% 27.00/4.27 % (3958746)Time elapsed: 0.450 s
% 27.00/4.27 % (3958746)Peak memory usage: 13 MB
% 27.00/4.27 % (3958746)Instructions burned: 693 (million)
% 27.00/4.27 % (3958769)Instruction limit reached!
% 27.00/4.27 % (3958769)------------------------------
% 27.00/4.27 % (3958769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.27 % (3958769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.27 % (3958769)CaDiCaL version: 2.1.3
% 27.00/4.27 % (3958769)Termination reason: Instruction limit
% 27.00/4.27 % (3958769)Termination phase: Saturation
% 27.00/4.27 % (3958769)Time elapsed: 0.045 s
% 27.00/4.27 % (3958769)Peak memory usage: 12 MB
% 27.00/4.27 % (3958769)Instructions burned: 54 (million)
% 27.00/4.27 % (3958776)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.00/4.27 % (3958775)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=294757557:i=57:ep=R:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/57Mi)
% 27.00/4.27 % (3958776)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2341937920:i=306:bd=all:rtra=on_2966 on theBenchmark for (2966ds/306Mi)
% 27.00/4.27 % (3958776)Refutation not found, incomplete strategy
% 27.00/4.27 % (3958776)------------------------------
% 27.00/4.27 % (3958776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.27 % (3958776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.27 % (3958776)CaDiCaL version: 2.1.3
% 27.00/4.27 % (3958776)Termination reason: Refutation not found, incomplete strategy
% 27.00/4.27 % (3958776)Time elapsed: 0.002 s
% 27.00/4.27 % (3958776)Peak memory usage: 12 MB
% 27.00/4.27 % (3958776)Instructions burned: 2 (million)
% 27.00/4.27 % (3958776)------------------------------
% 27.00/4.27 % (3958776)------------------------------
% 27.00/4.27 % (3958775)Instruction limit reached!
% 27.00/4.27 % (3958775)------------------------------
% 27.00/4.27 % (3958775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.27 % (3958775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.27 % (3958775)CaDiCaL version: 2.1.3
% 27.00/4.27 % (3958775)Termination reason: Instruction limit
% 27.00/4.27 % (3958775)Termination phase: Saturation
% 27.00/4.27 % (3958775)Time elapsed: 0.044 s
% 27.00/4.27 % (3958775)Peak memory usage: 12 MB
% 27.00/4.27 % (3958775)Instructions burned: 58 (million)
% 27.00/4.27 % (3958779)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=214549962:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/262Mi)
% 27.00/4.27 % (3958779)Refutation not found, incomplete strategy
% 27.00/4.27 % (3958779)------------------------------
% 27.00/4.27 % (3958779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.27 % (3958779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.27 % (3958779)CaDiCaL version: 2.1.3
% 27.00/4.27 % (3958779)Termination reason: Refutation not found, incomplete strategy
% 27.00/4.27 % (3958779)Time elapsed: 0.001 s
% 27.00/4.27 % (3958779)Peak memory usage: 11 MB
% 27.00/4.27 % (3958779)------------------------------
% 27.00/4.28 % (3958779)------------------------------
% 27.00/4.28 % (3958780)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 27.00/4.28 % (3958780)ott+1002_16_sil=128000:si=on:random_seed=2475888732:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/409Mi)
% 27.00/4.28 % (3958782)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=834153532:s2a=on:i=381:rtra=on_2965 on theBenchmark for (2965ds/381Mi)
% 27.00/4.28 % (3958780)Instruction limit reached!
% 27.00/4.28 % (3958780)------------------------------
% 27.00/4.28 % (3958780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.28 % (3958780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.28 % (3958780)CaDiCaL version: 2.1.3
% 27.00/4.28 % (3958780)Termination reason: Instruction limit
% 27.00/4.28 % (3958780)Termination phase: Saturation
% 27.00/4.28 % (3958780)Time elapsed: 0.276 s
% 27.00/4.28 % (3958780)Peak memory usage: 13 MB
% 27.00/4.28 % (3958780)Instructions burned: 410 (million)
% 27.00/4.28 % (3958682)Instruction limit reached!
% 27.00/4.28 % (3958682)------------------------------
% 27.00/4.28 % (3958682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.28 % (3958682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.28 % (3958682)CaDiCaL version: 2.1.3
% 27.00/4.28 % (3958682)Termination reason: Instruction limit
% 27.00/4.28 % (3958682)Termination phase: Saturation
% 27.00/4.28 % (3958682)Time elapsed: 1.965 s
% 27.00/4.28 % (3958682)Peak memory usage: 18 MB
% 27.00/4.28 % (3958682)Instructions burned: 2470 (million)
% 27.00/4.28 % (3958782)Instruction limit reached!
% 27.00/4.28 % (3958782)------------------------------
% 27.00/4.28 % (3958782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.28 % (3958782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.28 % (3958782)CaDiCaL version: 2.1.3
% 27.00/4.28 % (3958782)Termination reason: Instruction limit
% 27.00/4.28 % (3958782)Termination phase: Saturation
% 27.00/4.28 % (3958782)Time elapsed: 0.282 s
% 27.00/4.28 % (3958782)Peak memory usage: 12 MB
% 27.00/4.28 % (3958782)Instructions burned: 381 (million)
% 27.00/4.28 % (3958785)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3314205206:cond=on:i=324:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/324Mi)
% 27.00/4.28 % (3958786)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=1506210725:i=240:kws=inv_precedence:rtra=on_2962 on theBenchmark for (2962ds/240Mi)
% 27.00/4.28 % (3958786)Refutation not found, incomplete strategy
% 27.00/4.28 % (3958786)------------------------------
% 27.00/4.28 % (3958786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.28 % (3958786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.28 % (3958786)CaDiCaL version: 2.1.3
% 27.00/4.28 % (3958786)Termination reason: Refutation not found, incomplete strategy
% 27.00/4.28 % (3958786)Time elapsed: 0.002 s
% 27.00/4.28 % (3958786)Peak memory usage: 12 MB
% 27.00/4.28 % (3958786)Instructions burned: 1 (million)
% 27.00/4.28 % (3958786)------------------------------
% 27.00/4.28 % (3958786)------------------------------
% 27.00/4.28 % (3958787)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.00/4.28 % (3958787)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2894606509:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/124Mi)
% 27.00/4.28 % (3958790)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3525556472:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2962 on theBenchmark for (2962ds/223Mi)
% 27.00/4.28 % (3958767) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3958445-3958767"...
% 27.00/4.28 % (3958787)Instruction limit reached!
% 27.00/4.28 % (3958787)------------------------------
% 27.00/4.28 % (3958787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.00/4.28 % (3958787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.00/4.28 % (3958787)CaDiCaL version: 2.1.3
% 27.00/4.28 % (3958787)Termination reason: Instruction limit
% 27.00/4.28 % (3958787)Termination phase: Saturation
% 27.00/4.28 % (3958787)Time elapsed: 0.083 s
% 27.00/4.28 % (3958787)Peak memory usage: 12 MB
% 27.00/4.28 % (3958787)Instructions burned: 125 (million)
% 27.00/4.28 % (3958767)...printing done.
% 27.00/4.28 % (3958767)Refutation found. Thanks to Tanya!
% 27.00/4.28 % SZS status Unsatisfiable for theBenchmark
% 27.00/4.28 % SZS output start Proof for theBenchmark
% See solution above
% 27.81/4.31 % (3958767)------------------------------
% 27.81/4.31 % (3958767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.31 % (3958767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.31 % (3958767)CaDiCaL version: 2.1.3
% 27.81/4.31 % (3958767)Termination reason: Refutation
% 27.81/4.31 % (3958767)Time elapsed: 0.602 s
% 27.81/4.31 % (3958767)Peak memory usage: 16 MB
% 27.81/4.31 % (3958767)Instructions burned: 1388 (million)
% 27.81/4.31 % (3958445)Success in time 3.905 s
% 27.81/4.31 % Vampire exiting
%------------------------------------------------------------------------------